diff --git "a/data/dm_maths/full_data_1/2333_11255.jsonl" "b/data/dm_maths/full_data_1/2333_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2333_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 49571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 26*u + 29. Let b be s(-1). Solve b*v = 4*m + 19, 3*m = -2*m - 20 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0109 and -34154.\nAnswer: -372.2786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -105, -90, -67, -36, 3?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*-2 - (14 + -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -190*u**2. Let f(b) = -5*b. What is f(v(p))?\nAnswer: 950*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 104\/2 - 27\/9. Let f = -50 + v. Let t(a) = 2*a - 1. Let l be t(2). Sort f, 6, l in descending order.\nAnswer: 6, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 75868.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 60*m - 27840 = 0. Calculate the greatest common divisor of 60 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.4 and -33.\nAnswer: -772.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3746003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 98*k**2 + 88*k + 994. What is the remainder when 442 is divided by p(97)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abbx when four letters picked without replacement from {x: 2, s: 7, b: 8, a: 2, i: 1}?\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3312?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 9*p**4\/8 - 5235*p**3\/8 - 27573*p**2\/2 + 18963*p\/2 = 0.\nAnswer: -21, 0, 2\/3, 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 5*l**3 - 53*l**4 + 51*l**4 - 5 + 5*l - 3*l to the form h*l**4 + f*l + t*l**3 + b + c*l**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -149637900, -149637907, -149637914?\n\"Answer: -7*n - 149637893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -c9 (base 15) to base 13\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1 - -5 - (-55 - (-131 + 89)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43851490 - 6564*z**3 + 2547839*z**2 - 92336907 + 1210746884 + 2241691*z**2 + 3*z**4 - 1167044436*z.\nAnswer: 3*(z - 729)**3*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1876, 1870, 1862, 1852, 1840, 1826?\n\"Answer: -h**2 - 3*h + 1880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*x + 5*x + 5)*((-x + x - x)*(-5 + 4 + 2) + 0*x + 2*x - 3*x)*(-5 + 6 + 3).\nAnswer: -24*x**2 - 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**7\/840 + g**6\/90 + g**5\/60 - g**3\/2 - 2*g**2. Let k(s) be the first derivative of m(s). What is the tens digit of k(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n + 56 = 6*n, 2*l + 3*l + 3*n = n + 5*n - 126 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*j + t = -142*j + 20, -15 = 2*j + 5*t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -47\/5, 7 in decreasing order.\nAnswer: 7, -1, -47\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.015 and -0.5?\nAnswer: 0.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t + 5. Let g(n) = -2*n - 6. Let c(m) = -6*g(m) - 5*l(m). Let a be c(6). Let r = 20 - a. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 117205519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 3629.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**4\/12 - 3150*z**2. Let r = -4 + 6. Let h(m) = -m**2 + 4*m**2 - 25*m**r. What is c(h(a))?\nAnswer: 44*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4136 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 55. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35919?\nAnswer: 3, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1267090972.\nAnswer: 2, 7, 45253249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n + 2*n)*(n**2 + 0 + 11 - 2).\nAnswer: 2*n**3 + 18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 8:44 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1202, -1262, -1356, -1478, -1622, -1782, -1952?\n\"Answer: l**3 - 23*l**2 + 2*l - 1182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**3 - 8*b**2 + 11*b + 6. Let l be f(4). Let d be (-2)\/5 + l\/(-50). Solve 4*o + 3*m = 2*m - 21, m + d = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*f**3 + 24345*f**2 - 24345*f**2 + f + (-2*f + 3 - 3)*(2*f**2 - 4*f**2 + 0*f**2) to l*f + t*f**2 + o + k*f**3 and give k.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18)*3\/(-3)*4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 k when four letters picked without replacement from kgkkkkkkkkkkk.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*50025.\nAnswer: -250125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/19 + 290516*h\/19 + 871566\/19.\nAnswer: -2*(h - 145261)*(h + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 1879?\nAnswer: -15\/1879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-5) + ((-54)\/9 - -5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1504*g + 29641 + 20827 = 3084*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 + 3*n - 1. Calculate the remainder when (3960\/18480)\/((-1)\/(-322)) is divided by a(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from tdd.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13e17 (base 16) in base 4?\nAnswer: -103320113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a + 5. Suppose 0 = 2*c + 3*c, -c = -3*z + 18. Suppose -z*y + 25 - 1 = 0. Let b(f) = -f - 1. Calculate y*b(p) + t(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -190 - -235. Let u = -38.48 + c. What is u rounded to 1 decimal place?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b**2 - 10*b + 3. Let r(v) = -v**3 - v + 3. Let j be r(0). Let h be x(j). Suppose h = -6*t + 9*t. Calculate the remainder when 89 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 + 6 = 0. Suppose 2*a - b - v = a, -3*a = -5*b - 11. Solve f + 3 = -a*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 - -151?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 18 = -3*p, -2*p - 34473 = v - 34449 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 + 0 + 12 - 5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 18 + 30 - t**2.\nAnswer: -3*t**2 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/4 - 122349*m**2\/4 - 244705*m\/4 + 367053\/4.\nAnswer: (m - 122351)*(m - 1)*(m + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 21 = -3*f. Let p = -4 + f. Suppose -p = -3*y - 0. Is y less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1101 - 679 + 101 + 1761*x with respect to x.\nAnswer: 1761","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 0 - (-2 + 2). Suppose x - 2*x + 3*t = -14, -2*x = -3*t - 16. Is (1\/h)\/(x\/124) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -296 + 1479\/5. Which is the second biggest value? (a) 3\/5 (b) 2 (c) m (d) 3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 1. Let f(h) = 17*h - 110. Let r(n) = -2*f(n) + 18*y(n). Does 4 divide r(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 584 - 539 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*q + 262, 0*q = 2*a + 2*q - 544. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Suppose 2*w = -2*l - w + 19, -a*l = -5*w - 5. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1019093*q**2*u - 746292*q**2 wrt u.\nAnswer: -1019093*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712941026 to the power of 1\/2, to the nearest integer?\nAnswer: 41388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6136*23430\nAnswer: 143766480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 7*v**2 - 8*v + 7. Determine r(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 29\/(4 + (-11)\/3). Let s = u - 52. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1573989.\nAnswer: 3, 307, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9200.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 0*x**4 - 10*x**2 - 1\/525*x**7 + 3 + 1\/150*x**5 + 0*x**6 + 0*x + 0*x**3. Factor v(i).\nAnswer: -2*i**2*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqndj. Give prob of sequence dyn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/6 + 989731*s**2 - 1469352168272*s + 8816101132864\/3 = 0. What is s?\nAnswer: 2, 2969192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -26. Let h(m) be the first derivative of 2 + 0*m**4 - 2\/5*m**5 + 2*m + a*m**3 + 0*m**2. What is the first derivative of h(p) wrt p?\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1298117 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 62*p**2 + 3789*p + 424. What is x(-61)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 3.7 (c) -5\/4 (d) -4 (e) 2\/5 (f) 2\/93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3419 - 1692. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -8 (c) 0.5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*n**3*s*u**2 - 77*n**3*u**4 - 15*n**3*u**2 + n**2 + 2408*n*s*u**4 + 6*n*s*u + 25*n*u**2 - 2*s wrt u?\nAnswer: -1848*n**3*u + 57792*n*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(3000))\/((sqrt(96) + sqrt(24))*1).\nAnswer: 50*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579 a factor of 232117681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10295.23 * 20\nAnswer: -205904.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 665 and 3515.\nAnswer: 24605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + a + 202 = -d, -5*a = -10. Let f = d + 187. Suppose 9*i - 4*i = f. Solve 2*n + 2*m = 12, -i = -3*n - m - m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 20154*w - 964. What is the hundreds digit of v(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 618585 and 45.\nAnswer: 1855755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.05 + -0.05. Let h = 7.01 + -0.01. Let t = h - 6.7. Which is the biggest value? (a) t (b) 2\/13 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(34)\/(sqrt(8)*-6))**2.\nAnswer: -17\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**8*h*h**(-1\/3))**(6\/13)*((h*h*h\/(h\/(h**(2\/3)\/h))*h)**(-1\/35))**(1\/31) assuming h is positive.\nAnswer: h**(-123794\/42315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**8*f**(1\/3)*f**12*f**(-3) assuming f is positive.\nAnswer: f**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m + 2. Let o be r(-1). Suppose o*s + 4545 = 9*s. Suppose 0 = 4*l + w - s, -4*w = -0*w + 4. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15569461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 63\/(-14)*(-46)\/69. Solve -40*s + 35*s - 14 = 2*k, -j*k - 11 = 5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002114174 to 5 decimal places.\nAnswer: 0.00211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-11))\/(-1) + 3600\/440. Solve -11 = 4*m + 3*h, -2*h = b + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16, 84, 228, 472, 840, 1356, 2044, 2928?\n\"Answer: 4*u**3 + 14*u**2 - 2*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-2)\/(1\/1)). Suppose -2*l - 2*c = -20, -c = 4*l - h*c - 37. Suppose 8*k = l*k + 1. Let j(n) = 10*n**3 + 2*n**2 + n. Give j(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -1\/6 (c) -2\/7 (d) -8 (e) 0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 127*v**2 - 15*v - 2. Let i be q(3). Suppose -11*u + 8287 = -i. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/94 - (34 - 127192\/2444)) + -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**3 + 2*d**3 - 2*d**3)*(7 - 7 + 10) - 10*d - 74*d**3 + 10*d to the form c*d**2 + z*d**3 + v*d + w and give z.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -129*(-3)\/(-9) + 26?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4624\/(-102) + -1 + 45. Let h be (-2)\/((-4)\/(-22)) + 1. Sort 0.3, i, -1\/2, h in decreasing order.\nAnswer: 0.3, -1\/2, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -5485388.\nAnswer: 5\/5485388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -73. Let n = -13 - h. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 25*i + 15. Give a(20).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1745, 1772, 1817, 1880, 1961, 2060?\nAnswer: 2177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**6\/360 + 47*p**5\/540 - 31*p**4\/54 + 2*p**3\/3 - 14928*p**2. Solve r(g) = 0 for g.\nAnswer: -18, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**5\/5 + v**4 + 25*v**3\/4 + 61*v**2\/8 + 7*v\/2 + 8. Find p, given that q(p) = 0.\nAnswer: -2, -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 0.6132921157?\nAnswer: 0.1132921157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1161 is divided by 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 = 7*k - 636. Let d(r) = -r**2 + 12*r - 8. Let b be d(11). Suppose -2*n + 145 = -b*h - 135, -n + k = 2*h. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*i + 693 = -3*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025180814584 to 6 decimal places.\nAnswer: 0.002518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4869 + 29095\/6. Which is greater: a or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(1 + -3341 - 4). Let j = -307762\/23 + p. Let o = -2781\/575 - j. Is o at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**5\/3 + 85*n**4 - 790*n**3\/3 - 5280*n**2 - 11040*n = 0. What is n?\nAnswer: -4, -3, 0, 12, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115332649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2020)\/1*834\/(-695). Round h to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 3*l + 41, y = 4*y - 3*l - 36. Let t = -57456 + 57459. Solve 4*c = -t + y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 1. Let p(y) = -9*y**3 - 8*y**2 - 6*y - 6. Let c(m) = -6*i(m) - p(m). What is the third derivative of c(g) wrt g?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/32270328 and -131\/16135164.\nAnswer: 32270328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x**2 + 2*x + 23. Let w(b) = -13*b**2 - 2*b - 23. Let i(u) = 7*g(u) + 6*w(u). Calculate the remainder when 299\/4 - 6\/(-24) is divided by i(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 19. Let l = 1.7 + -1.5. Which is the closest to z? (a) l (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1573?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*x**2 + 0*x + 0*x + 265*x**2 + 3 - 2 - 531*x**2.\nAnswer: 13*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5568843*x**2 - 1628*x - 288 wrt x?\nAnswer: 11137686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (112\/(-12))\/7 + 2. Let l = -3.24 - -3.26. Which is the third biggest value? (a) v (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -16 + 16 + 8*v**2. Let g(t) = t**2 + 2. Let b(y) = 6*y**2 + 15. Let u(k) = -2*b(k) + 15*g(k). What is l(u(a))?\nAnswer: 72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 3*c - 34, -7*m - c = -2*m + 28 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -11498*f**2 + 22992*f + 3. What is q(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 15 - 567. Suppose -2*l + 5*l - c = 0. Calculate the remainder when l is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*v - 670. What is the remainder when v is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/70 of a week?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 8, -912, -3, -3.1 in decreasing order.\nAnswer: 8, -4\/3, -3, -3.1, -912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8838.\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/128 (b) 13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*c, 9*h - 3*c + 32 = 4*h. Let r be (-63)\/6*h\/3. What are the prime factors of 4\/r - (-770)\/49?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 601, 2467, 5593, 9991, 15673, 22651, 30937, 40543?\nAnswer: 51481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 3, -3, 100, -218 in descending order.\nAnswer: 100, 3, -2, -3, -4, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5680 and 5984590.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 2)\/(3280\/(-32)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1, 15, 32, 4, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 7*r. Let n be h(-8). Suppose l + 3*l = 2*w - n, -w - l = 2. Suppose -5*g + 13 + 22 = w. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 359229 (base 14) to base 13\nAnswer: 4c1354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6)*60\/(-8). Let g = 4 + z. Solve -4*n - g = -1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 2. Let p be d(0). Let q be 1 + 3\/(-9)*0. Which is the biggest value? (a) 4 (b) p (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -1?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3 - 28438534*u**2 - 227508176*u - 455016288 = 0. Calculate u.\nAnswer: -14219259, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31212000113 (base 4) in base 6?\nAnswer: 204213515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 8 = 5*z. Suppose o = 2*w - 26 - 33, 0 = -z*w + 5*o + 39. Suppose -9*f + f = -w. Calculate the highest common factor of f and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdodsscuusoussus. Give prob of sequence ocdd.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 6. 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 3891 - 0.1?\nAnswer: 3890.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13936?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736102.\nAnswer: 2, 193, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 814656742*b**3 + 180763338?\nAnswer: 2443970226*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 18, z: 1}. What is prob of picking 1 y and 3 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2984\/13 - 6\/(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -672 by -6.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + x. Let a(z) = -z**2 - 9*z - 2. Suppose 5*d + 50 = -5*f, 3*d = -5*f - 18 - 14. Let b be a(d). What is the units digit of i(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -20 (b) -13\/7 (c) -1 (d) -5 (e) 4 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*2*sqrt(5) + (sqrt(40)\/(sqrt(8)*-3))**2) + 1.\nAnswer: -72*sqrt(5) + 13\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - -7) + 2113 - -1 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwhiw. Give prob of picking 1 i, 1 h, and 2 w.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-1)*-7*3\/(-105)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 470047 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -10*z**2. Let q(t) be the second derivative of 0*t**3 + 11\/6*t**4 - t + 0*t**2 - 23. Give q(m(a)).\nAnswer: 2200*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56105*z + 28033*z + 184*z**2 + 28073*z.\nAnswer: 184*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (99\/(-6))\/(2\/4). Let d = -607 + 560. Let p = f - d. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 5) to base 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((460\/25)\/23)\/((-12)\/10)*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*f - 27*f**3 - 7*f)*(5*f - 2*f - 9*f) + (-2*f + 2*f - f**3)*(2 - 2 + f) to the form u*f + h + l*f**2 + g*f**3 + r*f**4 and give r.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(76) - (sqrt(76) + (sqrt(76) + -6*sqrt(76))*4))*-3)\/(sqrt(36)\/(5*sqrt(9)) - sqrt(16)\/sqrt(4)*2).\nAnswer: 100*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4\/6 + 86*u**3 + 44195*u**2\/3 + 841750*u + 4962625\/6 = 0. Calculate u.\nAnswer: -185, -145, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -1, -316, 21, 0 in decreasing order.\nAnswer: 21, 0, -1, -3, -6, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4095731um?\nAnswer: 0.0004095731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 985409?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0 + 16*i**2 + 1\/6*i**3 + 0*i - 19\/120*i**6 + 0*i**4 - 1\/30*i**5. Calculate the remainder when 67 is divided by n(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 2*t**2 + 9*t + 20. Let z be r(-4). Let g = 179 + z. Solve o + g*y = -17, -3*o + 21 = -5*y + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1968 + -1058. What is c rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**2\/2 + l + 8. Let s be z(6). Suppose -2*d - 14 = -5*d - 5*r, 4*d - 5*r = s. Solve 7 = -5*o - d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25025425, 25025423, 25025421?\n\"Answer: -2*f + 25025427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d. Let t(c) be the first derivative of 0*c**2 + 0*c - 2\/3*c**3 - 2. Calculate t(a(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2. Let j(n) = -5*n. Let h(k) be the third derivative of -5*k**4\/8 + 7*k**2. Let m(w) = -2*h(w) + 7*j(w). What is x(m(v))?\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, -2\/3, -36?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/3)*((p*(p\/(p\/(p\/p**(2\/23))))\/p*p*p)\/p)\/p*p)\/(p**(2\/5)*p\/(p\/p**(-1\/4))) assuming p is positive.\nAnswer: p**(593\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 347616 to the power of 1\/2, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266, 285, 320, 371, 438, 521, 620?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34933 and 6176.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-3 - -12*2)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*8\/(-6) - -18. Suppose f = 17*d - 15*d. Let m(q) = -q**3 + 10*q**2 + 16*q. Let z be m(d). Calculate the highest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (132\/22 + 3 - 7)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/66 and -73\/16.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*g + 27*g - 3*u + 21, -5*g = -4*u + 1. Suppose r - 23 = -9. What is the least common multiple of r and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 31 = -3*q, -3*o = 5*q - o. Let f be (-1)\/q + 5\/2. Suppose -f = 3*t - 8. What is the smallest value in t, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*t - 20, -2*t = z + 24 - 42. Calculate the least common multiple of 92 and z.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2341553 (base 7) to base 4.\nAnswer: 1020100031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4028317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*36\/(-4590)*(-137)\/24 + 72\/(-96).\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2*a - 2*a)*(-8*a**2 + 3*a**2 + 7*a**2 + (2 - 2 + 2*a)*(-3*a + 2*a + 2*a)) + 0*a**3 + a**3 + a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4018\/161697 - 95859227251\/9378426. Let h = n + 10220. Find the common denominator of h and 25\/22.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 28765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3246*w + 5. Is f(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 + -84. Put -1, l, -4 in decreasing order.\nAnswer: l, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/4 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 206753 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4903?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 4*z**2 + 7*z - 5. Give m(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.071 and 0.3.\nAnswer: 0.0213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 15*f. What is the smallest common multiple of t(1) and 55?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375231608 to the power of 1\/2, to the nearest integer?\nAnswer: 19371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1192*t - 3308*t + 881*t + (-4 + 1 + 2)*(-5*t + 4*t - 2*t).\nAnswer: -1232*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 3}. Give prob of picking 2 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b*f**2 - 192968*b*f - 5711*b + 12*f**2 + 3*f + 2420 wrt f?\nAnswer: 6*b*f - 192968*b + 24*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 9*b + 6. Let s be z(6). Suppose r = 4*r - s. Calculate the greatest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - c - 2. Let m be b(5). Suppose -4*t = 4*p + t - m, 5*t = p + 8. Factor -4*q**5 + 20*q + 19 - 13*q**3 - 27 - 3*q**3 - 8*q**p + 16*q**4.\nAnswer: -4*(q - 2)*(q - 1)**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 11*x - 2*y - 8 = 0, 0 = -6*x - y + 26. Let k be ((-4)\/(-18))\/(-1) + 0. Let l = 0.08 - -1.92. Which is the closest to l? (a) -4\/5 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12090, 12110, 12130, 12150, 12170?\nAnswer: 12190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -16352 in descending order.\nAnswer: 0, -3, -16352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*l, -5*l = 4*z - 0*z - 30. Let q(n) = n**2 - 38*n + 5. Let j be q(38). Solve z*v + j*c = -0*v - 15, -1 = -3*v + 2*c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*s - 24 = 253*s. Suppose 2*l = -6*q + 5*q + 4122, -5*l - s*q = -10302. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14634, -29372, -44236, -59226, -74342, -89584, -104952?\n\"Answer: -63*s**2 - 14549*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 + 344*t**2 + 2919*t - 9. Give o(-9).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zszzhhhzzshhzzh. Give prob of sequence hhzz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. What is the biggest value in -2\/5, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 2)*(4 - 4 + r) + (-3 + 2 + 3)*(-1 + 1 + 2*r).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 19*l**2 - 9*l - 22. Let q be s(16). Suppose 38*u - q = 29*u. Is 58 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 12:44 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -0.12?\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -7, -4, 1, 8, 17, 28?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -16*d**2. Let w(v) = 5 - 4 - 15 + 7*v + 2 + 2. Calculate w(f(p)).\nAnswer: -112*p**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3062 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33207 a multiple of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5038*t**3 + 1716*t - 1223737 wrt t?\nAnswer: -15114*t**2 + 1716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1764 divided by 252.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -33*q**2 + 2357*q - 170. What is v(71)?\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914 - (18\/(-9) - (-1 - 2))?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8192 and 384.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 10*r**2. Let c(w) = 370*w - 951. Determine c(y(f)).\nAnswer: 3700*f**2 - 951","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 - -293. Calculate the remainder when g is divided by 96.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, j: 4, s: 1, o: 3}. What is prob of sequence owsj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0382? (a) -0.3 (b) -12 (c) -2\/147 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, i: 1, n: 1, q: 1, o: 2, f: 1}. What is prob of picking 1 d, 1 o, and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21158.864 and -5.\nAnswer: 105794.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -1\/2 (b) 274 (c) 1.23 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*j**4*m*r - 152*j**4 - 2*j**3*r + 4*j**2*m - 3*j**2*r + 39*r wrt j.\nAnswer: 1200*j*m*r - 3648*j - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, q: 4, d: 3}. Give prob of picking 1 i and 1 d.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2201766 is divided by 66720.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 847215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m. Suppose -24*d = -78 - 0 - 18. Let v(h) be the third derivative of 0 + 0*h**3 + 0*h - 15*h**2 + 0*h**d + 1\/30*h**5. Calculate v(g(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 459*a**3 + 119*a**2 + 119*a. Let y(o) = 135*o + 23*o**3 + 136*o - 5*o**2 + 11*o**2 - 265*o. Calculate 6*l(d) - 119*y(d).\nAnswer: 17*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 215728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n - 1574 + 1602. Suppose -n*h + 2099 = 347. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l - 37*l = -60. Suppose 9*b + l = -3*a + 5*b, -26 = -3*a + 5*b. Solve x + 16 = 4*n, -6*n + 32 = 3*x - a*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 937 = 937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (12 - 9) + -4 + 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736162.\nAnswer: 2, 7, 52583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 13 - 8 + 9*t - 6 + 6*t as s + a*t and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 47, 2\/11, 0, 1 in decreasing order.\nAnswer: 47, 1, 2\/11, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -1 (b) 0 (c) -24\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - i + 3*i)*(-108 - 32*i**3 - 100 + 208).\nAnswer: -160*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*f - 525*f = -868*f + 10992 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -32955*p + 32955*p + 3*p**2 - 1. Let l(a) = 2*a**2 - 1. Determine 5*l(n) - 4*q(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 4\/(-10) - (-153)\/45. Solve 0*m - 6*m - 12*m**4 + 9*m**2 + 3*m**3 - 15*m**4 + 18*m**c + 3*m**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263111544 divided by -41724?\nAnswer: 6306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -939804 divided by -7?\nAnswer: 939804\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 1. Let z(l) be the second derivative of -l**3\/3 + l**2 + 2*l + 115. Let i(s) = 2*m(s) - z(s). Let d(a) = -2*a + 6. What is i(d(k))?\nAnswer: 4*k - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 - 24833*b + 3*b**4 + 8 - 3 - 1 + 2*b**2 + 24831*b as f + m*b**2 + j*b + g*b**3 + r*b**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + b - 1. Let j(m) = -m**3 - 5*m**2 - 5*m. Let k = 1 - 0. Let o(x) = k*j(x) - 2*i(x). What is o(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 + 52. Let t = 6.87 + 0.13. Let p = m + t. What is the third smallest value in -0.3, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 3:43 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**2 + 10303 + 4*h - 5151 - 5152 - 133*h.\nAnswer: 13*h**2 - 129*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -478, -481, -496, -529, -586, -673?\n\"Answer: -d**3 + 4*d - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1418804 + -126081190. Let w be (-4)\/10 + u\/15. Round w to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001000000001 (base 2) in base 10?\nAnswer: -20993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*p**5*t + 5*p**4*t + 5*p**3 + 173*p**2*t + 3*p*t wrt p?\nAnswer: 540*p**2*t + 120*p*t + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (28\/(-10))\/((-1)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2. Let a(o) = o + 11. Let d be (-4)\/14 - 48\/(-21). Let n(m) = d*a(m) + 11*y(m). Let l(b) be the first derivative of b**2\/2 + 1. What is l(n(v))?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16361?\nAnswer: 16361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express f**4 + 3*f**4 - f**4 + 4583*f**3 - 165*f**4 - 4583*f**3 + (-1 + 1 + f**3)*(-f + 3 - 3) as t*f**2 + w*f**4 + z*f**3 + a + g*f and give w.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*a - a + 80, -i = 4*a - 35. Calculate the remainder when i is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 4*h + 49. Let w be r(0). Does 6 divide (w + 1 - 0)\/(31\/186)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 18. Let y = 4 + 9. Let f = y + -11. Solve -g = 3*l - l, -15 = 5*z + f*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**(-7))\/w)**(-6\/11)*w\/w**(3\/2)*w**10)**18 assuming w is positive.\nAnswer: w**(1017\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 4938*p + 4924*p)*(-2 + 9 - 1) + 4*p - 2*p - 4*p.\nAnswer: -86*p - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + (-8 - (0 + -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 + 1204*n - 771*n + 9473*n.\nAnswer: 9906*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -54040 to the nearest 1000.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/84 + (-116)\/(-14). Let n be 8\/((-288)\/(-356)) - l. Does 3 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 5*u + 5. Calculate i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*u**2 + 272*u**2 - 111601*u**3.\nAnswer: -111601*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + (-2)\/2. Let o = -0.8 - -8.8. Let n = -9 + o. Sort 3, y, n.\nAnswer: n, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**7\/7560 + f**6\/1080 - f**5\/540 - 2*f**3\/3 + 22. Let r(i) be the third derivative of p(i). Factor r(s).\nAnswer: -s*(s - 2)*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151626 - -6726?\nAnswer: 1158352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-10)\/w)\/w*w\/(((w*w**(1\/7)*w)\/w)\/w))\/(((w*w*w**11)\/w*w)\/w**(19\/5)) assuming w is positive.\nAnswer: w**(-712\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**3\/6 + 23*i**2\/6 - 20*i - 24 = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:36 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -15*r**2. Let h(w) = -37069036*w - 1002*w**2 + 37069036*w. Calculate b(h(c)).\nAnswer: -15060060*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k - 2124 + 2215 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 11*x + g, 43 = -61*x + 58*x + 5*g for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 4333310202?\nAnswer: -4333310203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -320 divided by -5\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from {m: 2, a: 11}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, -16 in descending order.\nAnswer: 6, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 51319, 102621, 153923, 205225?\n\"Answer: 51302*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-1088)\/(-272)*5\/32.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28608 and 3117.\nAnswer: 29723712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23226.39534 + -23226. What is b rounded to 2 decimal places?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*c - 11. Let g be 0*(0 - 2 - -1). Suppose 4*p = -g*p + 96. What is the remainder when p is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 437625 and 45000?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -2230322?\nAnswer: 2230322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s**5\/3 - 10*s**4 + 32*s**3 - 70*s**2\/3 + 4*s = 0 for s.\nAnswer: -6, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -1*sqrt(80) + 4)**2 + -1 + (sqrt(5) - (1 + sqrt(5) + 2)) + sqrt(40)\/sqrt(288).\nAnswer: sqrt(5)\/6 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - 7*t - 12. Let j(a) = a**2 - 6*a - 9. Let r(n) = 5*j(n) - 4*q(n). Give r(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**6\/240 + b**5\/80 + 2*b**3\/3 + 12. Let s(c) be the third derivative of w(c). Factor s(q).\nAnswer: 3*q*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 168 = 2*b, 5*u - 6*u + 2*b + 37 = 0. Let z be (-8)\/((-96)\/27)*164. Calculate the greatest common factor of z and u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -6*m - 5*s + 346, -3*s = -3*m + 378. Suppose m*i - 116*i = 9546. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22365 = 176*y + 7757. Solve 0 = -y*q - 539 - 42 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14*4\/42)\/(-2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -18.\nAnswer: -13\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23669.11 decades?\nAnswer: 2840293.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1429542 = 131*n - 165751 - 590835. Is n a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 6}. Give prob of sequence ee.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 17*b**2. Let u(p) = -p - 3. Let a(r) = 4*r + 8. Let i(d) = 3*a(d) + 8*u(d). Let j(q) = q. Let x = 40 + -26. Let f(z) = x*j(z) - 3*i(z). Give k(f(m)).\nAnswer: 68*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118467801.\nAnswer: 3, 13163089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 26*b - 26*b - 4*b**2 - b**2. Let v(j) = -j. What is x(v(s))?\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -12, 51, -0.3, 4, -3?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59.9718356663 + 0.0281653637. Let r = w - 60. Round r to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11a (base 11) in base 12?\nAnswer: -ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (5 + -1 - 1) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (852\/852)\/(2\/30*-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 295.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h - 447 + 979 = 0. Solve -8 = 27*d + h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-16)\/(-5280)*-6)\/(2\/2)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 80, 149, 348, 749, 1424, 2445?\n\"Answer: 12*r**3 - 7*r**2 + 6*r + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4128\/7 + -590. Let d be 2*2 - ((-196)\/12)\/(-7). What is the third biggest value in 0.1, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 18 = 4*q. Let w be ((-6)\/(-12) + q)\/(-1). What is the fourth smallest value in -2, 2, w, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56933 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: Sort -315321, -0.1, -4.3 in decreasing order.\nAnswer: -0.1, -4.3, -315321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -131, -221, -327, -449, -587, -741?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49990559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35\/44406581 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 319 + -645. Let o = b + 531. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/((n\/(n\/(n\/(n**(2\/7)*n))*n))\/n)))**36*n*((n*n*n**(1\/7))\/n)\/n*n*n*n**1*((n*n**(-3)\/n)**(-4\/9))**(-34) assuming n is positive.\nAnswer: n**(-3349\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 763177947 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rokr. What is prob of sequence ko?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6703, 6618, 6555, 6526, 6543?\n\"Answer: 2*n**3 - n**2 - 96*n + 6798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7988.086l?\nAnswer: 7988086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1001010100011101000010111?\nAnswer: -1001010100011101000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + c = -2*c + 4, -c + 18 = -2*d. Let z(k) = -6*k. Let o(v) = 11*v - 8. Let l(w) = 7*w - 5. Let x(t) = -8*l(t) + 5*o(t). Calculate d*x(f) + 2*z(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13994343 + 4?\nAnswer: -13994339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7 + -5 - -2)*12718\/8.\nAnswer: 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/53193, 1\/705 in decreasing order.\nAnswer: 1\/705, 2\/53193, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 2*(-1)\/14. Let a = -11 - -9. Put k, a, -4 in increasing order.\nAnswer: -4, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*u = -7, 2*u = 12 - 2. Let l(z) = -z**2 - 5*z - 12. Let r(d) = -2*d**2 - 4*d - 9. Let v(k) = b*l(k) + 4*r(k). Let o = -3 - -2. What is v(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167 - 172. Let n = -2 + 4. Let r be 2\/(-6) + (-1)\/(-3). Which is the smallest value? (a) n (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -6643.\nAnswer: -1\/6643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 6)*(-1 + i + 1)*(-2 + 6 - 2).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1333, 1814, 2383, 3040?\n\"Answer: 44*z**2 + 349*z + 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370998788 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 843*a - 3 = 842*a. Find the third derivative of 3*u**a + 118*u**2 + 6058*u - 6058*u + 4*u**5 wrt u.\nAnswer: 240*u**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5379 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.39936 or -1\/4?\nAnswer: -0.39936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/5 and 59\/15801.\nAnswer: 79005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*v - 3*v = -13, 0 = -5*r - 3*v - 11. Let c be (-1)\/r*20\/50. What is the nearest to 2\/7 in c, -1\/8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10}. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02420371 - 2340182.02420371. Let k = 2340101.99897 + d. Let j = k + 80. Round j to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 a, and 1 o when four letters picked without replacement from ocnomccncnaocma.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1690 and 56810.\nAnswer: 738530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.1, -1\/7, -1\/8, 0.3.\nAnswer: -1\/7, -1\/8, -0.1, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -483 divided by -1?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2109 minus -3.2379?\nAnswer: -2105.7621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**3 + 1963*i**2 + 27665*i + 25701 = 0.\nAnswer: -13, -1, 1977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2116 (base 12) in base 4?\nAnswer: -320202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 128*d**3 + d. Let w be h(-1). Let j = w - -196. Suppose -5*l - 22 + j = 0. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbyxtaxt. Give prob of picking 1 c and 1 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -0.064842318687.\nAnswer: -0.064842318687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n*(n\/n**(-14))\/n*n*n)\/n)\/n)**(-27)\/(n**(7\/5)\/(n**27*n)))**(-9\/8) assuming n is positive.\nAnswer: n**(18243\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 71?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.116 + 597.\nAnswer: 596.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 + -73. Let h be 2*3\/(-9)*(1 - l). Let n = 32 + h. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -263, -392, -525, -662, -803, -948?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2. Let d(c) be the first derivative of -c**6\/72 + 4*c**3\/3 + 3. Let m(s) be the third derivative of d(s). Calculate m(j(k)).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6127*v + 496874. Calculate q(81).\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3128918, -4, -1.\nAnswer: -3128918, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 170*(-111)\/(-25160) + 1838\/(-2472)?\nAnswer: 2\/309","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzzzydyvdydyzzdy. What is prob of sequence ymzy?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 5:58 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1110201 + 3?\nAnswer: 1110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 633 and 25778503?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*c**3 - 151*c + 13*c + 21*c**4 - 69*c - 243 - 198*c + 2*c**5 - 162*c**2 + c**5.\nAnswer: 3*(c - 3)*(c + 1)*(c + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111001100 + 11001001000010001?\nAnswer: 11001101111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + (0 + sqrt(3) + -1 - (sqrt(300) - sqrt(300)*2)) + sqrt(15)\/((-1*sqrt(15))\/sqrt(3)) + -5 + -3)**2.\nAnswer: -180*sqrt(3) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 10*h + 4. Let u be n(-9). Sort 0, 0.01, 2, u.\nAnswer: u, 0, 0.01, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 24 = g. Let v(k) = 2*k + g + 0*k - 3. Suppose 2*o + 10 = 7*o. Let p(w) = -w - 2. What is o*v(n) + 5*p(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9291282?\nAnswer: 2, 3, 7, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 + -98. Let q be 8*l\/56*6\/8. Let v = 0.09 + 3.91. Which is the second smallest value? (a) q (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 349021 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*y**2 - 42*y - 4 + 2 - 12*y**2 - 5*y**2 as o + u*y**2 + v*y and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -8286212 to the nearest 10000.\nAnswer: -8290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**3 + 2*w**2 - w - 1. Suppose -t + 10 = 7. Is r(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**3 + 2*w + 1. Let x be v(-1). Suppose -4*k = -x*k - 5*j - 29, 2*j + 29 = k. Calculate the remainder when k is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-165 - -170)\/((-8)\/8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hucxuxx. What is prob of picking 1 u and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**5 + 7317*z**4 + 4465197*z**3 + 4457883*z**2.\nAnswer: 3*z**2*(z + 1)*(z + 1219)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2365\/341 + 63\/(-9) + 0\/(-1).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4315343 + -232?\nAnswer: 4315111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3 = -4*c + 3, -5*z + 5*c = 25 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 times -0.091?\nAnswer: -8.463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b - 18. Let x be s(11). Solve k = -k - x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + 3 + -7 + -5 + 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104713529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5}. What is prob of picking 2 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5*h = 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176181 = 3897*n - 54971 + 58052 for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/3 of a week in hours?\nAnswer: 3248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -42900 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*t - 421, -194 + 619 = -4*t + m. Let o = t + 191. Let v = 26 + o. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6764*q - 799. Is f(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, 5, 0.0073 in ascending order.\nAnswer: -0.2, 0, 0.0073, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - i**3 + 2*i**3 + 2)*(214 - 81 - 60)*(0 - 3 + 1)*(4*i - 4*i - i**2).\nAnswer: 146*i**5 + 146*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 87\/5220397?\nAnswer: 87\/5220397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 (base 5) in base 6?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 10:10 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 656376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q. Let r(j) = -6*j. Let f(p) = -10*p. Let d(o) = -o. Let a(h) = -3*d(h) + f(h). Let v(x) = 4*a(x) - 5*r(x). What is m(v(s))?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 + 26*b**2 + 2*b - 26. Let z be q(13). Solve -3*h + z*h + 5*o = -6, 3*o - 3 = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 892.97 - 877. Let y = r - 16. Which is the second biggest value? (a) 3 (b) y (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.538945 * 0.3\nAnswer: 1.3616835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11201223130 (base 4) in base 8?\nAnswer: 5415334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 0 + 8 - 2 to the form s + x*p and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 4051.8.\nAnswer: 4054.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -129*o**2 + 14*o + 3 + 383*o**2 - 149*o**2 - 128*o**2 as a*o**2 + x*o + n and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-13 - 2 - (21 - 20))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -122.4 and 27000525.7.\nAnswer: 27000403.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86631.36ml to litres.\nAnswer: 86.63136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17)\/(-5) + (-4)\/10. Let z = 1738 + -1762. Sort -1, c, z, -2.\nAnswer: z, -2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0695917603 rounded to 6 decimal places?\nAnswer: -0.069592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449622*u**2 - 224822*u**2 - 224811*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -19, -68, -153, -286, -479, -744, -1093?\nAnswer: -1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(x\/(x*x\/(x**32\/x*x)))\/x*x**(1\/5)\/x*x)\/(x\/(x**(-3\/35)\/x)*x)**0 assuming x is positive.\nAnswer: x**(161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 - (-5 - 1) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 35878752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 - 6083 - 17073*c**2 + 16908*c**2 - 2496*c - 3*c**3.\nAnswer: -3*(c + 3)*(c + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + -36. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 867*b*v**2 - 98311*b*v - 45*v**2 + 2*v + 3068580 wrt b?\nAnswer: 867*v**2 - 98311*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1859*q**5 - 930*q + 1 wrt q?\nAnswer: -37180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*f - 458128 = -110*f. Solve -1496*u = -f*u + 55 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 - 6*o**3 + 0*o**3 + 4*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 - 26193 + 26193.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -426336 (base 10) to base 5.\nAnswer: -102120321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -4*n. Let y be n\/(-1 + 9\/6). Does 7 divide ((-7)\/(-3))\/(y\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 4917028?\nAnswer: -4917028.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5341, -10651, -15951, -21235, -26497, -31731?\n\"Answer: p**3 - p**2 - 5314*p - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*w**2 - 68*w**3 + 23*w**2 - 53*w**2 + 17*w**2.\nAnswer: -4*w**2*(17*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 1 (b) -5\/4 (c) 4.5 (d) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*u**3\/2 + 10*u**2\/3 + 97*u\/2 - 10\/3 = 0.\nAnswer: -1, 20\/291, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 350 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48412\/5 or 9681?\nAnswer: 9681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 1, a: 2, o: 3}. Give prob of sequence ap.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swirjrwrrrss. Give prob of sequence sww.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13881048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 2. Let u = r - 0. Suppose -u*t + 39 = -c, -t + 5*c + 1 = 15. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -116*a + 57. Is y(-9) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.04000335 + 2.04. Round x to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 131?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35694 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: Calculate the common denominator of -23\/2364551 and 43\/18916408.\nAnswer: 18916408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 190725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Let z be (m + -8)\/((-2)\/25). Suppose 5*p = -2*g + 50, 0 = -5*g - 3*p - 15 + 140. What is the greatest common divisor of g and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013 times 881373?\nAnswer: -11457.849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 3, d: 3, l: 1, v: 4, i: 5}. What is prob of sequence il?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1 + 1 - 10*n - 22*n**2 - 3 + 0. Let t(u) = 15*u**2 + 7*u + 2. Let o(g) = -5*p(g) - 7*t(g). List the prime factors of o(-4).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 26 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 718 - 802 = 14*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**4\/36 + 962*d**3\/9 + 462722*d**2\/3 - 3890*d. Factor a(v).\nAnswer: (v + 962)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*m = 13*m - 41*m + 83284. What is the remainder when m is divided by 69?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + (2*2*sqrt(78) - sqrt(78)))\/(3*sqrt(600) - sqrt(600)) + ((-4 + sqrt(1872) + 1)**2 - sqrt(1872)) + 2 + (sqrt(52) + 1)**2.\nAnswer: -399*sqrt(13)\/5 + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 90.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6647 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + -2.97. Let m = -10.97 - 0.03. Let q = m + 7. Which is the third smallest value? (a) q (b) z (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2134321322 - 3?\nAnswer: 2134321314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2. Suppose -3*x + 2 = -4. Let d(k) = -2*k + 0*k - x*k. Give d(v(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.360001723 + -1.36. Round i to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 569447?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 divided by -2402?\nAnswer: 186\/1201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (126*y**2 + 141*y**2 - 225*y**2)*(5*y**2 - 2*y**2 - 2*y**2) to r*y**3 + d*y**4 + o + p*y**2 + u*y and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 12*t + 12. Suppose t*s - 8 + 3 = -2*w, 4*w = 5*s - 23. Suppose s*l = 502 + 1049. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 829681, 3318707, 7467077, 13274785, 20741825, 29868191?\nAnswer: 40653877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, j: 2, a: 6, x: 1, u: 2, k: 5}. What is prob of sequence ax?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12050.4 - -12050. Which is the second smallest value? (a) m (b) -2 (c) -208 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -699.\nAnswer: -699.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14335 divided by 16?\nAnswer: -14335\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 96 + 105*d**3 - 2*d**2 - 6*d + 0*d.\nAnswer: 105*d**3 - 2*d**2 - 6*d + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-8))\/((-4)\/2656). Let a = -199 - g. Suppose -i - 84 = -a. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -97, -4, -15, -1.\nAnswer: -97, -15, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3 = c, -p - 2*p + 4*c - 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*s = 4 - 1, -s = 4*d - 21. Let b = 11 - d. Solve b*r - 4*j - 4 = -36, r - 4*j = -16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1503*d*h**2*y**2 - 2*d*y - 5167*d + 15*h**2 - 7*y**3 with respect to y.\nAnswer: 3006*d*h**2*y - 2*d - 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 44*b**2 - 281*b - 6. What are the prime factors of j(52)?\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**3 + 10*a - 10. Let v = 20 - -42. Let y = v + -72. Let x(m) = -m**3 + 3*m - 3. Give y*x(t) + 3*w(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t + 1. Let i be m(-1). Suppose 2*v - 29 = 4895*h - 4892*h, 4*h = -20. Solve -v = -z - i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44323 * 33.\nAnswer: -1462659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 100001111101 (base 2) to base 8\nAnswer: 4175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*m + 46*m - 2*x = -22, 38 = m - 3*m + 8*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4379, -8379, -12381, -16385?\n\"Answer: -r**2 - 3997*r - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miimii. What is prob of sequence mm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 20*s + 1008. What is the least common multiple of 84 and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12*w - 1027. Let t be j(-86). Solve 14 = -t*l - 0*k + 4*k, 2*k = 2*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 + -69 + (1 + 2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1055.68 and -15.9.\nAnswer: 1039.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**5 - 95*y**4 + 630*y**3 - 1890*y**2 + 2565*y - 1215 = 0.\nAnswer: 1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-57 + 0)\/((-21)\/14). Let u be (2 + (-64)\/h)*(2 - -7). Solve -4*p + u*p = -10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24564415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/5*1\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from bbyyybbbybbbbyybbyyy.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2701*k + 5397*k - 2700*k. Let t(h) = 82*h**2. Determine t(c(s)).\nAnswer: 1312*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 5:07 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.100681 - -12.92068118. Let v = w + 0.18. What is v rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_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: Two letters picked without replacement from {v: 2, i: 2}. What is prob of sequence iv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 77*1*116\/203. Let l(i) = i**3 + 7*i**2 + 2*i + 1. Let j be l(-5). Suppose -j*h = -q*h + 153. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29119\/140 + 208. Let d = c - 297\/2380. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9291, 9369, 9443, 9513?\n\"Answer: -2*g**2 + 84*g + 9209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1066 (b) -5 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 276595 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 0.6, -0.0197 in decreasing order.\nAnswer: 2, 0.6, -0.0197, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 3*b**2 + 7*b + 3. Let q be y(-3). What are the prime factors of 1240\/28 + q\/63?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44142, 88206, 132218, 176178, 220086, 263942?\n\"Answer: -26*f**2 + 44142*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4 = -2*v + 6, 2*v + 2 = 5*u. Let n(z) be the second derivative of 5*z**4\/12 - z**3\/6 - z**2\/2 + 2*z. List the prime factors of n(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 = -4*v, -3*g = -4*v - v - 30. What is the common denominator of 71\/8 and v + ((-111)\/(-10))\/1?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 217 + -1739\/8. Let j = -0.15 + 4.15. Which is the second smallest value? (a) j (b) -2 (c) -6 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -10, -2.5, 9?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 + 530232?\nAnswer: 530202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7037 decades in millennia?\nAnswer: 0.047037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6315709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 8:17 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 15 = -3*l, -3*l - 4*m = -2*l - 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 4:03 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 3*j**2 - 15*j + 24. Determine u(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 - -22771647?\nAnswer: 22771671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 3*h + 1 = -13*h - 3*l, 0 = -11*h - l + 15 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59163 less than -5?\nAnswer: -59168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.7 (b) -0.5 (c) -0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + f. Let v(o) = -521*o + 5728. Let u be v(11). Let a(y) = -21*y**2 + 5*y. Give u*l(j) + a(j).\nAnswer: -18*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**3 + m**2 - 1. Let i be q(1). Suppose -3 = 6*w - i*w. Let c be 0*(w + (2 - 2)). Solve c*j - 3*j - 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.1. Let g be 1\/(1*(3 - 4)). Let x be 3*3\/6*g. What is the second smallest value in r, x, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(56)\/sqrt(2))**2.\nAnswer: -4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140060 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29.28 + -29.08. Let t = 138055\/6 + -22935. Let f = -74 + t. Which is the second smallest value? (a) f (b) u (c) -3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-11))\/((-70640)\/29139)*(-4)\/(-6)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + -9 - (1 - 5 - 0).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 3:50 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*g + 7. Sort 3, g, -4.\nAnswer: g, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5159 - 1855. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1001011111001110000?\nAnswer: 1001011111001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*o - 633 + 654 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 567 and 921501?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0*i - 2*i + 44, 3*y + 4*i - 69 = 0. Let j(x) = -43*x + y*x + 27*x. Calculate j(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 2*f**3 - 5*f**3)*(-2 - 2*f + 2) - 2*f**4 + 110*f - 110*f - 2*f + 2*f**4 + 2*f.\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3132.602 kilograms?\nAnswer: 3132602000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -145130000 rounded to the nearest 1000000?\nAnswer: -145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (12 + -22 + -8 + 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.50371 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 148013 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 188730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(176))*5*4.\nAnswer: -60 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/66*-3*-14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Let h be (-6)\/9 + 1 + z. Let r = 25 + -29. What is the third biggest value in r, -3, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 6*p**2 + 4*p - 3. Calculate u(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1\/2 (c) 1.81 (d) 2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*r + r. What is the common denominator of -1 - (-1)\/r*-64 and 3 + (14 - (-1160)\/(-55))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/10 and -61\/2160?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/(8\/128*20)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 229 - -15. Suppose -4*u = 2*m - 3*m - b, -u + 56 = m. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138210 is divided by 5306?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a - 45. Let l be w(12). Suppose 0 = -l*f + 30*f + 66. Let t = 105 + f. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1410093616 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.915790735 to two decimal places.\nAnswer: 1.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdz when three letters picked without replacement from {j: 2, z: 4, d: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -171978 (base 10) to base 9.\nAnswer: -281816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 3)*(2*k**4 - k**4 + k**4) - 4*k**4 + 3*k - 3*k in the form z*k**2 + i*k**4 + w*k + u + h*k**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 13) to base 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 + 12 + 7 - 55*c**2 + c + 76*c**2 wrt c.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15428922 and 15428920 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t. Let o(m) = -35 - 1014*m - 39 + 104 - 30. What is o(v(w))?\nAnswer: 3042*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5296.782415 to the nearest integer.\nAnswer: 5297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, e: 12}. What is prob of sequence hee?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**3 + 11*t - 56. Let a(i) = -i**3 - 2*i + 11. Calculate -11*a(r) - 2*v(r).\nAnswer: r**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkdkkdktfnfkddu. Give prob of picking 1 u, 1 k, and 1 n.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 <= -1265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/912929 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1583*v + 1581*v + 1587*v - 4751*v - v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -5) + 12 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 182 - (7 - (-40)\/(-8)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 108 + -44?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 1)*(-3 + 3 + 1)*(-277*c**2 + 669*c**3 + 2 + 277*c**2) to y + p*c**3 + x*c + m*c**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*t + 6*t = -592296. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(7)*-1 + (sqrt(7) - (sqrt(7)*-2*-5 - sqrt(7))))**2 + (-3 + sqrt(28)\/sqrt(4) + sqrt(7) - (sqrt(252)*2)**2).\nAnswer: -948 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 28088.96kg?\nAnswer: 28088960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 545b3 - 3?\nAnswer: 545b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46645.\nAnswer: 5, 19, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -29, -61, -113, -191, -301, -449?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 77?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 48643306 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r - 1 + 4)*((4*r - 6*r - 2*r)*(0*r - 3*r + r) - 2*r**2 + 1 + 3*r**2 + 3*r**2).\nAnswer: -24*r**3 + 36*r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 0 - 21*o + 8*o + 17*o - 3. Suppose g + 2*g - 15 = 0. Suppose -7*n + 12*n + g = 0. Let k(l) = -l. What is n*v(i) - 3*k(i)?\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/3 - 68*y**2\/3 + 15121*y\/3 - 102172\/3 = 0. What is y?\nAnswer: -164, 7, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (4976\/(-22) + 4\/22). Suppose 9*d - l = 350. Let i = -42 + d. Calculate the greatest common factor of 44 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 21 = 11. Suppose -2*q + 4*y = -0*y - 44, 3*q + f*y = 11. Calculate the highest common factor of q and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpq when three letters picked without replacement from {p: 1, u: 2, c: 1, n: 2, q: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvpv.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1234, 4951, 11146, 19819, 30970, 44599?\n\"Answer: 1239*z**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 divided by 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 5*d**2 + 2*d - 4. Let g be z(-4). Let m be ((-21)\/(-14))\/((-2)\/(-4)). Let o(l) = -5*l + 1 - 2*l - 3*l**2 + l**m + l + 3*l. What is o(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*h + 248 + 2*h - 233 wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 + 5*b**2 + 2*b**2)*((5 - 3 + 0)*(4*b**2 - 2*b**2 - b**2) + (2 - 2 + 8)*(1 - 1 + 3*b)*(-b + 4*b + 0*b)).\nAnswer: 888*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okoo. What is prob of sequence koo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -10\/3, 3\/25, 0, 2.32?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ucuucwuutwawtu. What is prob of sequence tuut?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*v - 2*q + 58, 0 = 2*v - 2*q - 42. Find the third derivative of -20*n**2 - 797*n**4 + 797*n**4 - v*n**5 wrt n.\nAnswer: -1500*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*c, 5*u - 2*c = -8 - 17. Sort 2, -1, 5, u.\nAnswer: u, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -10\/53, -0.3597?\nAnswer: -10\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 254 = -856. Calculate the remainder when l is divided by 80.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -706011*p - 4757273.\nAnswer: -706011","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 1074942 to the power of 1\/2, to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6944 and 40650176.\nAnswer: 6944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/6))**(1\/26)*(j\/j**(-1))\/((j*j**(-3))\/j) assuming j is positive.\nAnswer: j**(781\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 24, -2\/3, -8, 0.01, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26251, -52513, -78775, -105037?\nAnswer: -131299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006928421 rounded to 7 decimal places?\nAnswer: -0.0000693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*m - 3*m + 804 = 0 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 4. Let d be (-1 + 2)*-3 + 1. Let c be q(d). Let g be (1 - (-54 - c)) + 1. Calculate the greatest common factor of g and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - y**2 - 16*y + 5345. Let z(f) = -3*f**3 - 4*f**2 - 56*f + 16034. Give 7*d(h) - 2*z(h).\nAnswer: -h**3 + h**2 + 5347","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 9*d + 3, -6*d = -10*d + 4. Solve s - 3*c = -2*c - 6, k*s - c = -6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s*s**(-12))\/s*s**(1\/43) assuming s is positive.\nAnswer: s**(-472\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w. Let p(k) be the second derivative of w - 1\/2*k**2 + 2*k + 0*k**3 + 1\/12*k**4. Factor p(g).\nAnswer: (g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*h + 17, -4*h + 9*h = 10. Suppose 0 = -n + d, 3*n + k*d - 4*d = 16. Suppose f - 24 = -n. What is the remainder when f is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3048603 (base 11) in base 6?\nAnswer: 311224452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46\/92*(0 - 0). Suppose 10*n - 4*n - 210 = u. What is the highest common factor of 15 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -231.0083 - -0.0083. Let x = w + 230.999901. What is x rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from rrnrprrqg?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*n = -1 - 5, j - 2*n = 4. Suppose 3*x = -3*s + 14 + 4, -3*s = -3*x. Put j, 10, -4, x in decreasing order.\nAnswer: 10, x, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210202112 (base 3) in base 8?\nAnswer: 36767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 13\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 + 2*i**2 - 5*i + 8\/3.\nAnswer: (i - 1)**2*(i + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0035827 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 302 = 1130. What is the highest common divisor of 184 and y?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-28)*(-2186)\/1093)\/(2\/1036)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -58511678 rounded to the nearest 1000000?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 47666848.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-three eighths of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkmk when four letters picked without replacement from {k: 3, m: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 + 406444881874?\nAnswer: 406444881876.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3800057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1088))**2*5 + (-5*(-1 + sqrt(2448)))**2.\nAnswer: -440*sqrt(17) + 66685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(-4*b - 2*b + 7*b) + (-3*b + 0*b + 2*b)*(0 - 1 + 0) - b - 2*b - 3*b in the form f + s*b and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c = -63. Suppose 0*i - 5*i + 4 = -2*w, -5*w - 3*i = -c. Let d be w + 0\/(-1) - 0. Solve 5*u - d - 12 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 409ac + 2d?\nAnswer: 409da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1534 - -1614. Which is smaller: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 9:05 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 463405097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2493, -2617, -2743, -2871?\n\"Answer: -c**2 - 121*c - 2371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 12308 + 11436 = -10*v, 266 = -5*k + 3*v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3139 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 233033430?\nAnswer: -233033422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 5, h + 0*h = -2*g - 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19865, 19864, 19863, 19862?\n\"Answer: -i + 19866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 11*y**2 + 24*y - 144.\nAnswer: -(y - 12)*(y - 3)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j - 96 + 396 = -81*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h + 20. Let a be y(12). What is a rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6862830?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b - 2*b)*(2*b**4 + 2*b**2 - 2*b**2) + 5*b**5 - 4*b**5 - 2*b**5 + (2*b**3 + 3*b**3 - 3*b**3)*(92*b**2 - 5*b**2 - 15*b**2).\nAnswer: 141*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o = 0. Suppose o = w - 0*w - 5. Suppose -3*u = 2*y - w*u - 10, 2*y - 12 = 3*u. Which is the closest to 0? (a) y (b) -2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 3*a + 1 = 0, 62 = p - a - 50 + 101 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:44 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 112662, 112658, 112654, 112650?\n\"Answer: -4*p + 112666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58874, 117284, 175696, 234110, 292526, 350944, 409364?\nAnswer: 467786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*b = 35, 10 = -3*b + 1. Find the third derivative of -11*i**4 + 11*i**2 - h*i**2 + 0*i**2 wrt i.\nAnswer: -264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43 - ((2 - -1) + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(180))\/(sqrt(36)\/sqrt(4)*1).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 15*a**2 - 18*a**5 - 3 - 24*a**5 + 38*a**5. Let h(w) = 5*w**5 - 14*w**2 + 2. Let m(l) = -2*d(l) - 3*h(l). Find the third derivative of m(n) wrt n.\nAnswer: -420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -15 + 4 + (1 - 3)*(-18)\/18. Let j(u) = 5*u**3 + 117*u**2 - 9*u. Let a(c) = -c**3 - 29*c**2 + 2*c. Give f*a(y) - 2*j(y).\nAnswer: -y**3 + 27*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 200*f**3*t - 71*f**3 + 37*f**2*t - 21*f**2 + 22*t wrt f?\nAnswer: 1200*t - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -0.718166 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t - 7. Let k(f) = 3*f - 13. Suppose 0*j = 3*j, 112 = 4*z - 4*j. Suppose 43 = 3*g + z. What is g*m(n) - 3*k(n)?\nAnswer: n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 441?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.15 (b) 1\/5 (c) -931\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 441963?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -4. Let y = 476 + -1426\/3. Put y, 2\/5, b in decreasing order.\nAnswer: y, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**8\/20160 + y**5\/60 - 2*y**2. Let c(i) be the third derivative of v(i). Factor c(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2462?\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -416 by 4.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*v + 482256 = 475920 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 201*l - 198.\nAnswer: -3*(l + 1)*(l + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(208) + 5 + (sqrt(117)*-5)**2 + -2*((sqrt(13) - sqrt(65)\/(sqrt(5) - sqrt(25)\/sqrt(5) - sqrt(5))) + (sqrt(637) + sqrt(13))**2 + -2).\nAnswer: -8*sqrt(13) + 1273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -194b228 (base 13) in base 6?\nAnswer: -454015221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 18*u**2 + 16*u + 19. Calculate n(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 245, 491, 737, 983?\n\"Answer: 246*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2 - 11. Let t = 9 + d. Suppose 3*f - 7 - 8 = t. Solve -f*q + 6*q + 1 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195865 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 3)*(-3*j**3 + 2*j**3 + 3*j**3)*(31 - 19 + 35).\nAnswer: -282*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120462721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 302053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + y = -0*y. Suppose y = 3*p + 2*r - 36, 0 = -2*p + 2*r - r + 31. Let n(b) = 2*b - 9*b + 9*b - 4*b + p*b**2. Let u(j) = 2*j**2. What is n(u(s))?\nAnswer: 56*s**4 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188.8396 seconds to microseconds.\nAnswer: 188839600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 48*f**2 + 370*f + 2229. What is o(36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, i: 7, f: 2, a: 10}. Give prob of picking 1 i and 1 a.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 8, -3, -363, -167?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/9 and 4\/1*(-50)\/(-608).\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/2, 0, -0.6, -5, -0.28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 4) + 4 - 14 - (-6 + -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 2484352000 = -62*z - 136*z. Round z to the nearest 100000.\nAnswer: 11900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 4, 6, -3 in increasing order.\nAnswer: -4, -3, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/4 + 4\/(-8). Let y(z) = w*z + 2*z - 5*z. Let f(k) = 3 - 3 + 2*k**2 - k**2. Give y(f(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 2*g**7\/63 + 122*g**6\/45 - g**5\/5 - 185*g**4\/9 - 244*g**3\/9 + 4*g - 1453. Solve q(p) = 0 for p.\nAnswer: -61, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/73 + -5977\/1168. Let p = -39518 + 1580633\/40. Find the common denominator of c and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 312?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdysmvvv. What is prob of sequence vysm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1789 - -1797. Which is the nearest to 2? (a) -2\/5 (b) w (c) -0.02 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5155617494 from -292.\nAnswer: 5155617202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 230\/50 - (-2)\/5. Factor 6*u**4 - 1092*u**5 + 1087*u**h + 9*u**4.\nAnswer: -5*u**4*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/5 - 8*n**2\/5 - 11*n\/5 + 4 = 0. What is n?\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**3 + 19*h**2 + 16. Let q be v(4). Which is greater: q or 11\/148?\nAnswer: 11\/148","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 430110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70246886 to the nearest integer?\nAnswer: 8381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*h + 4*v - 26, -20 = -2*h - 2*v. What is the smallest common multiple of h and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + p + 11. Let z be y(0). Calculate the highest common divisor of z and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 34539, 69089, 103637, 138183, 172727, 207269, 241809?\n\"Answer: -f**2 + 34553*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 304653780 and 4.\nAnswer: 304653780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47612, 47613, 47614, 47615, 47616, 47617?\nAnswer: 47618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4341 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.8 (b) -0.0637 (c) -3 (d) -0.3 (e) 3 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 20*q**2 - 51*q**2 + 29*q**2. Let g(p) = -2*p + 4*p - 3*p. Give g(r(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**10*i*i\/(i**(4\/5)*i)*i*(i**3)**(-12\/7) assuming i is positive.\nAnswer: i**(212\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(243)*-5)**2 - (sqrt(144)\/sqrt(3) + -1*sqrt(3)*1).\nAnswer: -18225 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwand. Give prob of picking 1 w and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-37)\/1554*14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -51956 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3367.408 centimeters in nanometers?\nAnswer: 33674080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 55*x**2 - 4*x + 10. Let a be -4 + 1 - (-10 - -3 - 4). Suppose z - 4 = -2*m - z, -m = -5*z - a. Is d(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.389074t to grams.\nAnswer: 4389074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3024, -2, 93324 in increasing order.\nAnswer: -2, 3024, 93324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 4*g + 11 - 89, -27*a + 1315 - 100 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 127002*p**2 - 40992.\nAnswer: 254004*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0355459, -2, -0.03, 1\/4, -5 in decreasing order.\nAnswer: 1\/4, 0.0355459, -0.03, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1951*x - 7115 - 16536*x - 7124 - 7118 + 21359 as s*x + p and give s.\nAnswer: -18487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*p + 1 - 7, -5*p + 10 = -5*h. Suppose -4*l - 6*y + 8*y + 26 = p, 0 = -4*y - 4. What is the greatest common divisor of l and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -447 times 10982.8?\nAnswer: -4909311.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 7) + 12 - 23.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 4*x, 3*j + 29*x + 4 = 30*x. Let v = 1 + -2. Let n be (v\/(-5))\/(1*-3). Which is smaller: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109 - -421\/4. Let o = -8448\/5 + 1680. Calculate the common denominator of o and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 128.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -22168 - -220983?\nAnswer: 198815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -758732 times 0.2?\nAnswer: -151746.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 884 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4014, -8038, -12074, -16128, -20206?\nAnswer: -24314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 9*p**2 - 9*p + 1. Let c be b(-8). Let d = -2 + 5. Let -d*k - 24*k**2 - 39*k**3 - 3*k + 3*k - c*k**3 = 0. Calculate k.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 7*z + 27 = -14*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152*o**2 - 457*o**2 + 149*o**2 + 3*o**3 + 158*o**2 + 137 + o to the form r*o**2 + v*o**3 + z*o + n and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -i + 6511 + 1253, 3*i - 3*y - 23292 = 0. Solve -336*t - 708 + 2*t**2 + 2*t**2 + i = 0 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 646 + 635 = 21*t. Solve -40 = -53*a + t*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -130.124 - -0.124. Let p = n + 194. Let k = 63.57 - p. Round k to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35737953+7972213\nAnswer: 43710166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10 - -8)\/(1\/42) - -3. Let q = s + 91. What is the remainder when 34 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, y: 7}. Give prob of sequence yyy.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4540, 18099, 40688, 72313, 112980, 162695, 221464?\nAnswer: 289293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 291\/2, -1.68, 0.0558, 4 in descending order.\nAnswer: 291\/2, 4, 0.0558, -1.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 0, -95794.\nAnswer: -95794, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*l - 11 = 0, -6*l = -3*x - 4*l. Let n(t) = -t**2 - 2*t + 8. Let j be n(x). Which is smaller: j or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 300 - 237. What is the highest common factor of y and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 27 = -5*u, m + 30 = 6*m - 5*u. Suppose 0 = -2*y - 2*s + 10, s = m*y - s - 35. Calculate the remainder when y is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f**3 + 15*f**2 - 11. Let u(v) = v**3 - 3*v**2 + 2. Let g(i) = -11*u(i) - 2*x(i). Let q(t) = -t**3 - 2*t**2. Give 2*g(j) + 3*q(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5*sqrt(121) - sqrt(121) - sqrt(121)))\/(2*sqrt(44)).\nAnswer: -15*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 3*n. Let z(v) = 4*v**2 - 11*v. Let o = -28 + 34. Give o*z(g) + 22*f(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 388 and 213109?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from kkgngxnnxkk?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100\/3 + 4*j**2 + 130\/3*j.\nAnswer: 2*(j + 10)*(6*j + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 16, -17 in ascending order.\nAnswer: -17, -5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 459595343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 14, 19, 24, 29, 34?\n\"Answer: 5*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12220 - -4?\nAnswer: -12211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2. Let b(j) be the first derivative of -j**3 - 16*j**2 + 20. Determine b(l(v)).\nAnswer: -12*v**4 + 64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1117996 and -117\/14.\nAnswer: 7825972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -2 + 46 + -51 - 0) + -54 + 0.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 15*y**2 + 2*y - 5. Let p be j(-15). Let f be (0 + 1)*-1*p. What is the derivative of -f*i + 98*i + 2 - 14 - 42*i wrt i?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 7. Let n be i(-12). Suppose n*m = -6 + 66. Suppose m = -2*u - 5*v, -39 = -3*u + 5*v - 7. Solve -4 = -0*g - u*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 135.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, k: 5, t: 2, w: 2}. Give prob of sequence kwuk.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -486 divided by 1\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 105563000311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 105 = -5*z. Suppose -2*y + 87 + z = 0. Let o be (-2500)\/((10\/5)\/y). What is o rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 24633434707?\nAnswer: -24633434706.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 4*d**2. Let q(z) = -z**2. Suppose -20 = -3*o - 8. Let v = 102 + -101. Give o*q(f) + v*h(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3422 rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428347 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*(sqrt(128) - sqrt(128)*3)**2*-1.\nAnswer: -2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9999, 18112, 26229, 34356, 42499, 50664?\n\"Answer: h**3 - 4*h**2 + 8118*h + 1884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a minute in milliseconds?\nAnswer: 33750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*h + 6*h**2 - 7*h**2 + h - 2*h**2 wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 13*k + 48. Let p = k - -118. What is the remainder when p is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjz when three letters picked without replacement from zjjjzj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7241 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4133215 - 202?\nAnswer: -4133421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -4*z**3\/3 + 9*z**2\/2 - 7*z - 3. Let w be n(8). Round w to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2. Let u(n) = n + 62. Determine t(u(o)).\nAnswer: -3*o**2 - 372*o - 11532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - w + 7. Let f be d(-4). Let u(j) be the third derivative of -j**4\/24 + 2*j**3\/3 - 2*j**2. Let b(m) = -m + 3. Determine f*u(g) + 6*b(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222783?\nAnswer: 3, 11, 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 85740.8 to the nearest 1000.\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674871 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.1 times -0.2?\nAnswer: -2.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (7 + 7 - (-16 - -21 - (-88 - -3)))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15844 or -15854?\nAnswer: -15854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12074 * 0.2.\nAnswer: 0.024148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 2:19 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 161 - 161.1. Let o = 230 + -1151\/5. Which is the second smallest value? (a) -8 (b) j (c) 2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45176551.\nAnswer: 7, 6453793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*c - 9471, -5*c = 111 - 116. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**2\/2 + 818252*o - 1636502 = 0.\nAnswer: 2, 1636502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2305 - 1185. Let y = -305 + n. Suppose -y = -5*k - 10. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + t - 136 = -139, -4*t = -2*v - 8. Solve -8 = v*b - 2, b + 11 = -4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**5 + 5*h - 5*h)*(-5 + 3 + 1) + h - h + 10*h**5.\nAnswer: 8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-14))\/(1\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 42*l**3 + 2*l**2 + l. Determine v(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1968 and 72168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41181679 minus -3.4729?\nAnswer: 3.88471679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 141*j - 143*j - 12. Let r(k) be the first derivative of 1\/4*k**4 - 4*k**2 + 14 - 2*k + 5\/3*k**3. Give r(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 1\/2, -0.4, 0.6, 131, -17?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6)*z*z**5*z**6\/(z**4\/z*z) assuming z is positive.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1809\/(-35577))\/(8\/(-118))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -3, 4, -1138, -5 in increasing order.\nAnswer: -1138, -5, -4, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*f = 5*n - 82, -2*f = -n + 19. Suppose n*w**2 + 2*w**5 - 6*w**2 - 14*w**3 - 16 - 2*w**2 - 5*w**2 + 24*w = 0. Calculate w.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1272080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7333 is divided by 287?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/78975 and -173\/170100?\nAnswer: 2211300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)*2 + 2)*-6)**2.\nAnswer: 1440*sqrt(3) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -918*n + 916*n - 18. Sort n, -2, 9 in ascending order.\nAnswer: n, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6560514 divided by -26998.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 53161557179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = 1192. Let l = 874 + k. Is l a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7710 + 7709. Which is the biggest value? (a) -0.0323 (b) w (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37816, -151399, -340704, -605731, -946480, -1362951, -1855144?\nAnswer: -2423059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.089 - -7.089. What is the nearest to 4 in i, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - -2. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 63648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4, 203, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/2*(-2)\/5*5. What are the prime factors of 2\/(30\/n) - 928\/(-3)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + c = -2*c + 21, c = 0. Suppose -3*z - 5 = -0*a - 2*a, 4*a = -4*z + 20. Solve -a*s = 13 + i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 293 and 6410254?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 257\/63 - 27\/7. Let t be (0\/(-2))\/((-4)\/(-2)). Which is the closest to t? (a) s (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(sqrt(114)\/sqrt(27))\/(sqrt(200)*-1) + -5.\nAnswer: -10 - 2*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (695\/417)\/(-6*(-480)\/54).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*n - 332 = -221*n + 264. Let v = 3 + -4. Let k(m) = -5*m. Let l be k(v). Solve 20 = -n*x, -4*x = l*u - 0*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v = 5*a - 82, 4*a - 59 = -v. Sort 3, a, 5 in descending order.\nAnswer: a, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*b = -404*b - 1074*b + 58164 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 9*c - 6. Determine b(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*d**3 + 42485 + 22*d - 22*d - 21245 - 21240.\nAnswer: -294*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 69+-56\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 0)*(-4*u + 2 - 2) + u - 2*u - u)*(-8*u - 5*u + 2*u + 0*u - 3*u + u + (-2*u - 2*u + 2*u)*(0 - 2 + 0) - 2*u + 4*u - u - u + u + u).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11544122 (base 6) to base 10\nAnswer: -371570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**4 + 7057*a**2 - 7023*a**2 - 2*a + 832*a**3 - 848*a**3 + 2*a**4 as d*a + o*a**4 + n*a**2 + c*a**3 + x and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-1 - 3) + -14 + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 2*h + h)*(-333 - 330 + 642 + (5 - 5 - 3)*(-4 + 1 + 2)) in the form n + b*h and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22884 + 36598. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q - 28. Let k be u(-4). What is the biggest value in 3, 1, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7) - 36\/(-21). Let t(w) = -8*w - 1. Suppose 3*c - 10 = -2*m, -35*m - 4*c = -33*m - 14. Let x be t(m). Solve -g*v - x - 3 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2951 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 2*m + 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/102)\/((-24)\/72). Let s = 397\/792 - 5\/88. Sort y, -5\/2, s, -1.\nAnswer: -5\/2, -1, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14123 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.0127 + 0.0634\nAnswer: 0.0507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-312 - 302 + 668)*(-3*v**2 + 3*v**2 - v**2).\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26\/(-3))\/(16\/(-24)). Suppose -y = -k - 4. Calculate the remainder when 16 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 3 - -8) + -1 + -1 + -67 + 8.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4082449t to micrograms.\nAnswer: 408244900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6509 rounded to one dp?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -19*o**2 + 78409*o - 78409. Give b(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l + 6 = 0. Let s(v) = -4693*v - 4695. Let m be s(-1). What is the third biggest value in -0.3, -3, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.009? (a) -3\/5 (b) -2\/3 (c) 0.08 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 539.925652 - 0.09?\nAnswer: 539.835652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1468 + -1476. Which is bigger: l or -16?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102965831 to the power of 1\/3, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - f - 33600. Let j be g(0). Round j to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**2 - 4*f - 1. Suppose -353 + 293 = 15*r. What is o(r)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -5*o**2 - 1\/8*o**4 + 1\/6*o**3 + 0 + 3\/40*o**6 - 1\/60*o**5 + 0*o. What is the units digit of u(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011110000001 + -10?\nAnswer: -1011110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -22*x**2 - 3644*x + 1326. Determine v(-166).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 5. Let y(i) = -i + 4. Let m(z) = 2*w(z) - 3*y(z). Let j be m(-3). Let v = j + 2. Calculate the smallest common multiple of v and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 34. Let h = -49595794 - -49595787.00000225. Let j = l - h. Round j to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107 (base 14) to base 15.\nAnswer: -d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 344987989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 2:13 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 + 51. Let k be (4\/x)\/(4\/12). Suppose 2*q + 175 = j, 3*j + k*q - 552 = -0*j. What are the prime factors of j?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2169, -3976, -5779, -7578?\nAnswer: -9373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c4d - 2?\nAnswer: -5c50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + w)*(-2 + 3 - 3) - 15*w - 17*w - 36*w + w + 2*w - w + 0 - w + 0 + 0*w - 2*w + 3*w - w + 0*w + 3*w + (2 + 1 - 1)*(-3*w + 5*w + 0*w) - 4 + 4 + w.\nAnswer: -61*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324 (base 5) in base 4?\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134829 by 128.\nAnswer: 134829\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -17. Suppose -a*g = -4*g - 561. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114.943531357248+-0.3\nAnswer: 114.643531357248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -15.3 and 104621 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmmmmmmmmmmmm. What is prob of sequence mmmh?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in 3\/101, 203, -18\/5?\nAnswer: 3\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 4*n - 64. Suppose -n*w + 12*w + 20 = 0. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 558413 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -42. Let t = 3 - -24. Let n = v + t. What is the remainder when 29 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1595 - 1576. What is the remainder when o is divided by 31\/11 + 6\/33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/6*((-9)\/(-3))\/(75\/(-50))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 5*t - 1 + 4, 5*i + 183*t - 186*t = 29 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.3 - -11. Let j = 1.2 - s. Let g = -0.4 + 0.2. Which is the second biggest value? (a) -1 (b) g (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4832425 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200643112 and 275884279.\nAnswer: 2207074232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -17*b - 22 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 578 + -166 - (16 + 1). Calculate the greatest common factor of l and 3476.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -1, 0.9, -0.3, 1, -5\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2261103 to the nearest integer?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -51982*a**3 - a**2 + 51983*a**3 - 17*a + 3*a + 14*a - 2. Let m(v) = -2*v**3 + 4*v**2 + 7. Suppose 0*b = -2*b + 4. What is b*m(j) + 7*g(j)?\nAnswer: 3*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/61 (b) -5 (c) -419\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -250 by 50.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 104 = -2*p, 5*p + 0*d + 2*d - 248 = 0. Suppose -4*k - 77*q = -76*q - 1190, 0 = 4*k - 5*q - 1226. What is the remainder when k is divided by p?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 1. Let z be d(-4). Suppose 0 = 3*l - 5*h - 0 - 2, 0 = -l - z*h + 34. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18691*i**3 - i**2 + 142*i - 80?\nAnswer: 112146*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**4 - 465*t**3 + 15768*t**2 + 177612*t + 161376 = 0.\nAnswer: -8, -1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1483 + 48923\/33. Let b = x - -499\/825. Is 0.1 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 7*m**2 + m - 12. Suppose 0 + 2 = -t, -2*t + 32 = 4*g. Let y be 3*((-96)\/g)\/(-4). Is 15 a factor of v(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = 2*m + m - 5*j, -2*m - j + 94 = 0. Suppose 69*c - 250 = 302. What is the smallest common multiple of c and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 16*a**2 - 7*a + 5. Let o be i(5). Suppose f + 3*l + 0*l - o = 0, 1120 = 3*f - l. Let d = -120 + f. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*h*s*t - 2*h*t + 2*s*t**3 + 422*t**3 with respect to s.\nAnswer: -40*h*t + 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14\/25, 8, 2, 0.2, 0.3, -214\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1813)\/(-35) - 52 - (-1)\/5*-4. Let h = 0.1 + 0.1. Let u = h + 0.8. What is the nearest to u in d, -2\/5, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4295 = -109*z - 1643 + 4433 for z.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*r + 132 = 54*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7\/17264 - -414287\/120848. Factor -c - 6*u - 3*u**2 - 3\/7*u**3.\nAnswer: -3*(u + 1)*(u + 2)*(u + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 42, 83, 140, 213, 302, 407?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9371321 is divided by 2330?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.35919 - -0.05919. Let q = 0.04 - 1.24. Which is the smallest value? (a) q (b) s (c) 4 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1644, -1592, -1550, -1530, -1544, -1604, -1722, -1910?\n\"Answer: -2*o**3 + 7*o**2 + 45*o - 1694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 279699 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + -4. Let j = u + 5. Let s = -0.7 + -0.3. Which is smaller: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*p**2 + 2*p + 342 wrt p.\nAnswer: -10*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 611 divide 247455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 490 and 4454590?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 6*z**2 + 4*z - 5. Let x be w(-5). Sort -2, x, 4.\nAnswer: -2, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 3375*m**4\/4 - 88*m**3\/3 - 2*m**2 + 7*m + 1074. What is the second derivative of k(z) wrt z?\nAnswer: 20250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62597 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q. Let m be (-3 + 1)*(-2)\/4. Calculate b(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-4)*2)\/(11\/(-198)). Let z be -1 + -9*-2*(-3)\/v. Sort 0, z, 4 in ascending order.\nAnswer: 0, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, f: 5, p: 1, u: 1, x: 3}. Give prob of sequence yfpu.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (442\/51)\/(-2*3\/(-18)). Suppose 188*a + s = 190*a. What is the remainder when 116 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -38. Let c(s) = -872*s**3 + s**2 - 5*s. Let z be c(x). What is z rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000104538442 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 381 and -13.6508.\nAnswer: -5200.9548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 762*f. Let a(b) = 22*b. What is a(z(q))?\nAnswer: 16764*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3 - 3 - 2*k + k. Let j(l) = 21*l + 339. Let f be j(-16). Let o(g) = 5*g**2 - 3*g. What is f*u(n) - o(n)?\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2602431 (b) -0.1 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n + 2*n**2 + 7*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 - 127*a + 286. Calculate z(40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 724078.\nAnswer: 724079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 - 102. Factor -11*f + 8*f**2 + 2*f**4 - q*f**4 - 5*f + 2*f**4 + 4*f**3.\nAnswer: -2*f*(f - 2)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1100212122110?\nAnswer: 1100212122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117306, 234615, 351924?\nAnswer: 469233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 2 - q - q**2)*(-2 + 0 + 3)*(94 - 91 - 41) in the form j + v*q**2 + t*q and give j.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 144*q - 1728.\nAnswer: -3*(q + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*w**2 + 24*w**2 + 7*w**2 + w**2 + 2*w - 2*w + (3*w**2 - w**2 + 0*w**2)*(0 + 2 - 4) + 0 - w**2 + 0.\nAnswer: 37*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*r + 6. Let c = -2 - r. Let b(g) = 2*g + g**c + 10*g**2 + 2 + 3 + 9*g. Let i(m) = 2*m**2 + 2*m + 1. What is 2*b(d) - 11*i(d)?\nAnswer: 2*d**3 - 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(325) + 0)*-6 - sqrt(325)) + -4)**2.\nAnswer: -70*sqrt(13) + 15926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h + 6. Give u(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -219059 - -5746742.9\nAnswer: 5527683.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516857?\nAnswer: 11, 19, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.344 + -22.344. Which is the smallest value? (a) -13 (b) -0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 36\/7*b**3 + 15\/14*b**4 + 15 - 48\/7*b + 36\/7*b**2. Find t, given that g(t) = 0.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154329228 to the nearest integer?\nAnswer: 12423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, j: 2, l: 5}. Give prob of sequence ll.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 56854476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 11:13 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j*y**4 + j*y**3 - 2*j*y**2 - 2*j*y + y**4 - 742*y**3 - 2341*y**2 - 11*y wrt y?\nAnswer: 120*j*y + 6*j + 24*y - 4452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 24 = -4*t, 3*l + 74 = 2*t + 56 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w - 22. Let i be k(5). Suppose 1151 - 409 = 5*h - i*p, 0 = h + 3*p - 134. List the prime factors of h.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0703063 to 3 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 580 + 0.5.\nAnswer: 580.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 117212897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -467 + 292. Let w be p\/(-20) + (-2)\/(-8). What is the units digit of (w\/(-2))\/((-3)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536808419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -0.0378043309.\nAnswer: -16.9621956691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-378)\/180 - (-91)\/(-65)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*y + 2*z, -2*z - 1 = 4*y - 9. Let m = -166 + 796. Suppose -5*x = -3*c - m, -2*x - c - 251 = -y*x. Is x 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 {a: 4, g: 7}. Give prob of picking 3 g and 1 a.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 87 + 137 = 0. Sort -1, j, -2, 3 in descending order.\nAnswer: 3, -1, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - 13 + 13 + (-2*j**2 - 3*j**2 + 7*j**2)*(2*j + 0*j - 3*j) + 0*j**2 + 0*j**2 - j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -71, -0.6, 2?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/1110 and -71\/4.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 867308584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 != -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**7\/3780 - 7*q**6\/2160 - q**5\/90 + 13*q**4\/24 + 25*q**2. Let k(a) be the second derivative of g(a). Factor k(s).\nAnswer: (s - 4)*(2*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**2. Let a(c) be the third derivative of 0*c**4 + 0*c**3 - 21*c**2 - 11\/12*c**5 + 0*c + 0. Give a(l(p)).\nAnswer: -880*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 0, 2*f = 4*w + 1 + 3. Let k(i) be the first derivative of -2 - i + 7\/2*i**f. Calculate k(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -153*o + 1559. Give u(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**3 + 4*f**2 - 25*f + 11. What is v(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7 + 6\/7*m - 4\/7*m**3 - 6\/7*m**4 + 4\/7*m**2 - 2\/7*m**5 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**4 - 4*c**2 - 4. Let o(u) = -4*u**4 - 3*u**2 - 4. Let i be 0 + 6\/(0 - -2). Let s(a) = i*m(a) - 4*o(a). Differentiate s(p) wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4 = k, 5*k - 3*c - 10 = 2*c. Solve -3*u - 5*b = 5 + 2, 3*u + k = -3*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1015*n = -1031*n + 352 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/5 + 3458*w**2\/5 + 6919*w\/5 + 692 = 0. Calculate w.\nAnswer: -1, 3460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, 16, 44, 72, 100, 128?\n\"Answer: 28*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7476.9786 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 10:16 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25, -27, -41, -73, -129?\n\"Answer: -q**3 + 5*q - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62875 is divided by 30558.\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/6 and -53\/10421745.\nAnswer: 20843490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104877\/872 - 19\/872. Let n = -119 + y. What is the closest to -0.1 in -2, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**1)**(-2\/37))**23)**(-2\/127))**(2\/5) assuming j is positive.\nAnswer: j**(184\/23495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 17*b - 4. Let v be s(-17). Let q(r) = -3*r**3 - 6*r**2 - 4*r + 9. Is 32 a factor of q(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)*2*1 + sqrt(24)\/((sqrt(8) - sqrt(32)\/sqrt(4)) + sqrt(8))*2.\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {t: 9, h: 2, z: 3, k: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 - 4*k**2 - 4*k + 2. Let t be w(3). Let r be (28\/t*5)\/((-1)\/(-2)). Calculate the greatest common factor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 + 9*o + 21. Suppose 0*s + 2*s - 4*n - 18 = 0, 0 = 5*s - 5*n - 40. Is b(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 248, 251?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11714937 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5436816 divided by 776688\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 4. Let h(f) = 4*f - 2. Let t(n) = -9*n + 5. Let s(j) = 7*h(j) + 3*t(j). What is the remainder when 37 is divided by s(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0598 take away -0.04?\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -ad76 (base 16) in base 12?\nAnswer: -21846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*b = 6, -2*z - 5*b + 6*b + 2 = 0. Sort z, 3, 1.\nAnswer: z, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 - 2)*(53 - 9 - 8)*(-5 + 2*z + 5) to the form c*z + s and give c.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 4*g**2 - 5*g - 3. Let r be (-66)\/24 + (-2)\/8. Let h be c(r). Suppose -14 - 10 = -h*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1118, -9209, -31158, -73895, -144350?\nAnswer: -249453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**2 + 144*u - 5184 = 0.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*-1)\/sqrt(8) - (sqrt(6) - -4*sqrt(6)*2))\/((sqrt(3) + sqrt(3)*-2*5 - (sqrt(9)\/sqrt(3) - sqrt(3))*-4)*5).\nAnswer: 2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.5 (c) -21 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33271585 not equal to 33271606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 148*s + 96*s - 732 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1539) + 4)*2*-2.\nAnswer: -16 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88\/15*x**2 + 28\/15*x**3 - 28\/15*x - 6 + 2\/15*x**4 = 0.\nAnswer: -9, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1265*a + 56034 = 4378*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5.891*-0.1\nAnswer: 0.5891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, 10\/87, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 154\nAnswer: 60\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42\/8 + 3\/(-12). Suppose l = -q + 8. Suppose p - i - 264 = -0*i, 0 = -l*p + 2*i + 793. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 598722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 11*z + 14. What is s(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**2 + 25*h + 9. Let r be v(-4). Let p = -16.4 - -19. Let s = p + -3.1. Which is the third smallest value? (a) s (b) -2\/3 (c) r (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40737 + -40734. Factor -3\/4*r**w + 15\/2 - 9\/2*r**2 - 9\/4*r.\nAnswer: -3*(r - 1)*(r + 2)*(r + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7947\/1016 - 102\/127. Suppose -224 = -3*h + 10. Find the common denominator of h\/4 - (-2)\/1 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 2*m**2 - 2*m**2)*(650*m - 5016*m - 3821*m)*(-m**2 + 3*m - 3*m).\nAnswer: 16374*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66973 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 0 + 0*b**6 + 3*b + 0*b**5 + 0*b**7 - 1\/12*b**4 + 0*b**3 - 1\/28*b**8 + 0*b**2. Find the third derivative of s(w) wrt w.\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - ((-2 - -3) + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 754051 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3, 2*v + 5*m - 139 = 3*v. Let o = v - -243. What is the highest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from qjjcqjjqcjjjq.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18795337807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -139\/15780?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, 73\/4, -0.14, 5, -4, 11\/3, 0.19?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6283 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 - r**3 - 2*r**3 - 7*r**3 - 2 + 2*r**2 to y*r**3 + l*r + s*r**2 + u and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i + 50*i = 79*i + 63 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -52 - 2*6\/4. Suppose 4*v = f + 35. What is the highest common factor of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6748 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97812823?\nAnswer: 79, 1238137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1755 and 86\/135?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 876587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/916128 and -103\/687096.\nAnswer: 2748384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5580567 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 22 - (-1 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136006 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6)*(-9)\/(-2). Let q = 5 - t. Let u = 6921 + -6921. Solve u = l - 2*l + q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 8\/2765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 81\/12 - (-1)\/4. Let q = 89 + k. What is the highest common divisor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2406115441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3 = -3. Let u = 18 + h. Suppose -4*f = -3*f - 52. What is the remainder when f is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14907072, -14907073, -14907074?\nAnswer: -14907075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 115071161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u. Let n(z) = -24*z + 174. Let p(q) = 23*q - 209. Let j(g) = 6*n(g) + 5*p(g). Give j(r(i)).\nAnswer: 174*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03163 + 0.2.\nAnswer: 0.16837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**5\/60 + 47*q**4\/36 + 475*q**3\/18 - 625*q**2\/2 - 14*q - 239. Find v, given that j(v) = 0.\nAnswer: -25, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 0*j**3 - 4*j**3)*(-j**2 - 4*j**2 + 2*j**2) - 104*j**5 + 90*j**5 - 126*j**5.\nAnswer: -125*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*s - 37 = 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 2*p - 1. Let m be k(2). Let q be ((-192)\/(-10))\/(3\/15). Suppose q = m*i + i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -411, -410, -409, -408, -407?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -9, 1, -4 in increasing order.\nAnswer: -19, -9, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-6)\/6 + 5. Solve 15 = 6*u - a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + b + 76 = 0, 2*b + b = 4*r + 57. Let i = -11 - r. Sort i, -2, -0.5 in descending order.\nAnswer: i, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 3\/34, 34, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*w + 167*w - 308*w = -3450 for w.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*k - 6677 = -16370 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 d, and 1 s when four letters picked without replacement from {d: 1, s: 1, r: 2, l: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 154*t**3 + 87*t**3 + 60 - 62 + t. Let s be l(1). Suppose -v - 3*o = -4*v + s, 2 = -o. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 2 - (5 - 1) - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -197*t**5\/20 + t**4\/4 - 181*t**3\/3 - 5*t + 9. Find the second derivative of g(s) wrt s.\nAnswer: -1182*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 13920 = 6*l. List the prime factors of l.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 530*i - 24. Let n be w(3). What is the greatest common factor of 174 and n?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/3744790 and -19\/245560.\nAnswer: 14979160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10030 (base 5) in base 4?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31086 and 74310?\nAnswer: 385000110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2528096 + -5?\nAnswer: 2528091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 6*u - 52. Let r be 29\/(-5) + u\/65. Let b = -3 - r. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 54*q - 189. Determine o(30).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3179 and 7803?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -244 - -281. What is the smallest value in w, -0.5, -2\/17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 - 10*f + 12. Give s(-6).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17215*a**5 - 940*a**2*q - 2*a*q - 5948*q - 1794 wrt a?\nAnswer: -344300*a**3 - 1880*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1))**(-6\/7)*n**(-1\/10)\/n**(4\/9) assuming n is positive.\nAnswer: n**(-49\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 26. Let v(b) = -b**2 + 10*b - 5. Let k(q) = q + 13. Let d be k(-6). Let p be v(d). What is the highest common divisor of i and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77952718 a multiple of 4063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*s - 10 = -4*c, 4*c - 12 = 2*s. Let r(a) = -4*a + a - c*a + 4*a. Let d(w) = -2*w. What is d(r(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -962 + 967. Let u(w) = -w**3 - 5*w**2 - 4*w. Let r(m) = -m**2. Determine p*r(k) - u(k).\nAnswer: k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242737 (base 12) to base 6.\nAnswer: 20312511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -185673180 divided by -33\nAnswer: 5626460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 168*i - 14 - 198*i to s*i + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/55*3\/(-6)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38398 + 38398.00027779. What is p rounded to five dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7*j - 24 = 0. Let q = 8 + j. Solve -20 = -i - 5*r, i - 19 = -q*r - 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/1*(-75*2773\/(-1410) - (5 - 0)). Suppose -2*m + 137 - 17 = 2*a, -54 = -a + m. Calculate the highest common divisor of a and c.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/((-2)\/(-12)). Let f(x) = 0 - 2*x + d - 2*x + 2*x**3. Calculate f(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11621681, 23243358, 34865035?\n\"Answer: 11621677*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105775*z - 32799 = -104934*z for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + 4*j**2 - 5*j)*(j - 4*j + 0*j + (1 - 4 + 1)*(2 - 2 + 2*j))*(-17*j + 80*j + 59*j).\nAnswer: -3416*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1006 - -686. Let j = 382 + h. What is the remainder when j is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (638\/(-580))\/(1\/2 + -4 + 3)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -133, -531, -1195, -2125, -3321, -4783, -6511?\n\"Answer: -133*w**2 + w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31032 - 52692 = 1972*v + 53276 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgabgquu. What is prob of picking 2 u and 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*w, 5*c - 3*w + 47 = c. Let t be (-3)\/((-30)\/c)*-415. Let j = t - 142. What are the prime factors of j?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1420060 and 185.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110171083538.094049 + -110170988099. Let d = -95439 + s. Let o = d - 0.094. What is o rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134940494.\nAnswer: 2, 13, 23, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**2 + 4 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 502 in 3, -1, 2, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -583.2 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -502, -995, -1488, -1981, -2474?\n\"Answer: -493*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 1)*7\/(-3). Suppose -5*z - 4*g + 3*g = k, -3*g = 5*z + 1. Do z and -2 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10920047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1516276616 to the nearest integer?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbgk when four letters picked without replacement from ggkokgkfgkkkgfkbk.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*y + 4*y. Suppose y = -4*f - p + 216, -f + 35 = 7*p - 2*p. What are the prime factors of f?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 60 = 7*s. Suppose 3*i = 441 + s. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 28. Let d(f) = -f**3 - 5*f**2 - 4*f + 2. Let b be d(t). Solve -2 - 8 = 2*w, -7 = p + b*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 2310*d**2 - 1778700*d + 456533000.\nAnswer: -(d - 770)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 - 142.9. Let j = -220.7099655 + 214.81001. Let s = q - j. What is s rounded to 6 decimal places?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnntdln. Give prob of sequence nln.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 2*a + 4. Let j(w) = -3*w**2 + 2*w + 3. Let l(b) = 2*b**2 - b - 1. Let y(d) = -3*j(d) - 5*l(d). Let t(x) = -4*h(x) - 3*y(x). What is t(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 240, 315, 460, 699?\nAnswer: 1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -84. Let m be 5\/(15\/74)*t. Calculate the common denominator of 91\/2 and (-2)\/6 - m\/96.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2529*u - 2521*u - 8 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 8*i**2 - 8*i - 19. What is w(10)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-42))\/(20\/8*(-16)\/(-80))*-258?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23641 - -23650. Suppose o - 4 = -2. Let t(x) = -3*x + 6 - o*x + 6*x - 3*x. Determine t(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 3771?\nAnswer: 15084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n - 35. Let f(d) be the second derivative of -2*d**3\/3 + 256*d. Give p(f(x)).\nAnswer: 16*x - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115628 - 105782 = -35*r. Is 201 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:44 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:09 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*h**2 + 5*h - 930 wrt h.\nAnswer: 56*h + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2537*l + 792 = -2669*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.2 + 20. Let q = -4.1 + 9.1. Which is the closest to -1? (a) h (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5 + 0 + 5)*(-8)\/(-768) and -31\/176?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - (-3 + 5)\/4*(-270)\/45. Let q be 4\/(-6) + 33\/36. Sort q, n, -106 in descending order.\nAnswer: q, n, -106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -102\/103 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5831)\/3332)\/((-147)\/(-12)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3 - 6 = 0. Let l(t) = 73*t + 3. Let i(d) = 96*d + 3. Let g(x) = 3*i(x) - 4*l(x). What is g(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1472*q + 129*q**3 + 1472*q + (-3*q**2 + 2*q**2 - q**2)*(-3*q + 0*q + q) + q**3 + q**3 - 3*q**3 - 16*q**3 - q**3 - 5*q**3.\nAnswer: 110*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Let l = -2666 - -2668. Solve -x - h = -l*h, -9 = -b*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 - -133. Let v = t + -60.5. Which is the biggest value? (a) 5 (b) v (c) -3\/5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -250.99152 - 0.00848. Which is the second biggest value? (a) -1 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 0.5, 141\/4802, -1?\nAnswer: 141\/4802","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128\/27 + 137\/27. Let q be (-1 - -3)*2\/(-10). Let o = -0.09 + -4.91. What is the nearest to q in 1, o, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1763)\/164 - (10\/(-8))\/(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6893, -14370, -21847, -29324, -36801, -44278?\nAnswer: -51755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5080508751 to the nearest integer?\nAnswer: 1719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*z - 4, -4*b - 3*z - 6 = -4*z. Let j be ((-1 - 3) + 4)\/b. Suppose -a = 4*t - 42, -2*a + 56 = -j*a + t. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.91 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2739.46 + -56.54. Is 2\/5 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkik when four letters picked without replacement from vivxkekz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 - 140. What is the remainder when 3192\/60 + (-1)\/m is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 250629*a. Let b(p) = -2*p + 71. Give k(b(m)).\nAnswer: -501258*m + 17794659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r + 5*r = 66 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 430 and 95.\nAnswer: 8170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, o: 2, v: 4, l: 1}. Give prob of sequence lvvv.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7*h**2 - 4*h + 6. Determine x(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2146992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 = -9. Which is greater: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 425886454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 1 (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (630\/840)\/(((-5)\/12)\/5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 10*f - 4*f - 48*f**3 + 45*f**3 - 3*f**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 7*j - 2. Let p be x(3). Let w = p + -5. Suppose 20 = w*h - h. What is the least common multiple of h and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03777 + 230.06223. Let d = 209 - h. What is d rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/8473 - 432143\/84730. Calculate the common denominator of (-13)\/(104\/(-10)) - 134\/(-16) and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-24)*(-87)\/(-175). Let w = -3\/50 - m. What is the second smallest value in 3\/2, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/4 of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.018504 + 175436.\nAnswer: 175435.981496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, 1, 0.4, 4, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94\/10528*16 - 14908\/(-210) - 8\/60?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 + (7 - 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 74 - 14*k**2 + 4*k + 74 + 9*k**3. Let i(n) = n**3 - n**2 - n. Let r(m) = 4*i(m) + z(m). Find the third derivative of r(w) wrt w.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(2\/13)))\/d**(-2))\/(d\/(d*d*d\/(d**(2\/5)\/d*d)))**21*(d**(-2\/11)\/d*d)\/d**1*d\/d**1*d**(-3) assuming d is positive.\nAnswer: d**(22574\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.599983 + -0.6. Round g to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, u: 7, g: 6, o: 5}. What is prob of sequence uuuo?\nAnswer: 175\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29 and -2220440?\nAnswer: 2220411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 789048 and 52.\nAnswer: 789048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21, -38, -47, -48?\n\"Answer: 4*k**2 - 29*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k + 3*k + 5*k + 5*k + k. Determine b(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2 - 113990*k - 356690880 = 0. What is k?\nAnswer: -19054, -3744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -35202 (base 7) to base 8\nAnswer: -21472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -420?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7219?\nAnswer: 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-2)\/(8\/(-10)). Suppose 4*f = 0, 4*h = -0*h + w*f + 64. Suppose -207 = -18*o + 315. Calculate the remainder when o is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(1872) + 0 + -1) + ((-1*sqrt(1872) + 3 - sqrt(1872)) + 1)**2*-5.\nAnswer: -37532 + 1032*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 4*b**2 - b - 4. Let y be v(-4). Suppose -6 = -2*u - y. Suppose 0*t + 56 = 4*t - u*h, 0 = t - 5*h - 31. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 276420289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7341728 nanometers to millimeters.\nAnswer: 0.0000007341728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 153, 300, 447?\n\"Answer: 147*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 4*s**2 + 6*s - 7. What is y(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2231512432 - 0?\nAnswer: 2231512432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m + 1124 = -1037 + 2069 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7656 (base 14) to base 12\nAnswer: ba10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + j + 6. Let t be q(0). Suppose -2*n + 6 = 0, -3*n = -3*l + 9 + t. Calculate the greatest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 + k**3 + 4*k**2 - 47 + k**3 + k + k**4 to the form h*k**3 + n*k**2 + i + l*k + p*k**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -43.6. Which is the second smallest value? (a) -2 (b) 1\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26986499 and -4.\nAnswer: -107945996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 10:38 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/5 of a meter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) 2.98 (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = 2. Suppose g*u - 19 = 3. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*t + t - 4, t - 5*w - 17 = 0. Let q(m) = -m + 1. Let g be q(-4). What is the third derivative of 11*h**g - t + 3 + 6*h**2 - 1 wrt h?\nAnswer: 660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1120 and 48.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3 - 12*b**2 = 0. Calculate b.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16\/15191733 (b) -3 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 616 and 24.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1\/4 (b) -14 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 7*g**2 + 19*g + 7. Suppose l - 5*z + 3 = -4*z, 3*z = -4*l - 12. Let o be (-108)\/(-8)*(-2)\/l. List the prime factors of h(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 395885975 divided by -2.\nAnswer: -395885975\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 16431 - 16333, 2*f + 110 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 12 = -16. Let q(u) = -4*u**2 - 13*u + 0*u**2 - 7 + 5*u**r - 3. Let v be q(14). What is the greatest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3))\/((-1)\/3). Let g be w\/(-5) + 3\/(-5). Is g at least as big as 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 42. Let w be k - ((-16)\/4 - -4). Let c be -18*w*3\/9. What is the greatest common factor of 24 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.541 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cskdsc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**3 - 3*b**2\/2 + 10*b - 13. Let q be s(8). Suppose 9*j = 8*j + q. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbhbbhhbb. What is prob of sequence bbb?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = 9*z - 35. Suppose -4*w + 37 = 5*g, 0*w = 3*w + 5*g - 34. Sort 0, z, w in descending order.\nAnswer: w, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(3 + -3 + 2). Let c(b) be the first derivative of 2*b**3\/3 - 13*b**2\/2 + 17*b + 1. Let i be c(6). Sort z, i, -4 in decreasing order.\nAnswer: i, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*c**2 - 3*c**2 + 0*c**2)*(2*c**2 - 3 + 3)*(-4 + 6 - 1)*((-2 + 4 - 1)*(3 - 1 - 4) - 3 + 4 + 0) as v*c + b + n*c**2 + p*c**4 + s*c**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9449.\nAnswer: 11, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**2 + 2564280*m + 102566400 = 0.\nAnswer: -854720, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1567206*b**2 + 876511.\nAnswer: 3134412*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 25*h - 19. Let w be t(13). Let m be 3\/w*-14 + -1 + 1. Suppose m*g = 6*g + 24. Calculate the remainder when 70 is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3405760 and 3712?\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 8*a + 9. Suppose -2*g = g - 90. Suppose -4*t - 3*h = 19, -t - g = 2*t - 3*h. Let k be c(t). Solve k*l + 2*n + 6 = -0*l, 2*n + 9 = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146090 is divided by 2756.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804031950 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/20)\/(-1)*47\/((-1880)\/4960)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19649.\nAnswer: 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5256108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*o - 12 - 3*o**2 - 8*o + 5 + 7.\nAnswer: -3*o**2 - 41*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/276 - -17\/69. Let u be ((-2)\/(-3))\/(14\/(-6)). What is the closest to t in -1\/2, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1043715*u + 1043715*u - 15*u**2 + 2.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300332 (base 4) to base 14.\nAnswer: -11dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 764*t**2 + 1. Let q be k(1). Let z = 1246 - q. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 + -68. Suppose 2*u = -d + 150, -3*d + u = -460 + z. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41631232719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -0.1, -8, 0.5, -5 in descending order.\nAnswer: 0.5, 2\/19, -0.1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -428663, -857256, -1285853, -1714454, -2143059?\n\"Answer: -2*h**2 - 428587*h - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1911427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, b: 1, i: 2, a: 3, l: 3}. What is prob of picking 1 b and 2 i?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbgptybbytgpytgtpyt. Give prob of picking 1 p and 1 g.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -0.233 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-70)*-2*1*(-30)\/21.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219415134.\nAnswer: 2, 3, 71, 491, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - v + 3*v)*(-4*v + v + 4*v) - 3 - 2 - 3*v**2 + 3.\nAnswer: 5*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 3*t - 20 - 7*t + 27. Let j be o(2). Suppose -p - 3*p - j*l = -430, 2*l + 331 = 3*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5361 - 2*w - 2684 - 2677.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 332, 162, -128, -538, -1068?\n\"Answer: -60*b**2 + 10*b + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 6 = 0, -14 = 8*i - 3*i + 2*k. Which is the second smallest value? (a) i (b) 2 (c) 0.3 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -213*d**4*o - 371*d**2*o**2 - 58982*d + 2*o**2 wrt d.\nAnswer: -2556*d**2*o - 742*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*b + 3304 = 0, 2*c - 3310 = -2*c + 2*b. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 7060*q**3 - 7052*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2)\/(6\/(-8)). Find y, given that -1 - y + 1 + 4*y + 3*y**h = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1925 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002215 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1467*g - 1 + 1072*g + 1 to the form l + f*g and give f.\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-18) - 54\/(-4). Suppose 11 + i = 3*m. What is the lowest common multiple of m and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(19*c**3 + 12*c - 12*c + 1).\nAnswer: -19*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 1\/4*i**4 + 0*i**3 - 1 - i + 3\/2*i**2. Let w(r) be the first derivative of b(r). What is the derivative of w(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-391)\/(-253) - -4) + (-1 + -9)\/2\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 5321*w**3 + 118 + 80 - 5321*w**3 + (2*w**2 + 2*w**2 - 3*w**2)*(5*w**2 + w**2 + 0*w**2).\nAnswer: 5*w**4 + 198","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460 divided by 10.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/8 (b) 62 (c) 2\/9 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*b - 16, 0*y - 5*b = y + 14. Let x = y + 123. Suppose -3*v - x = -6*v - a, 4*v - 5*a = 127. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -787 (b) -409 (c) 0.4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 8:52 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13889 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: How many minutes are there between 4:51 AM and 10:23 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3 + 285668*b**2 - 1142630*b - 1428300 = 0.\nAnswer: -1, 5, 142830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g - 15. Let l(q) = 2*q + 8. Let k(j) = -7*l(j) - 4*u(j). Let t be (-4)\/16*(-5 - -9). Let p be k(t). Solve 16 = -p*b - 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c - 6 + 66 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21360 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20 - 11)*1\/6. Let i(y) be the second derivative of 0 + a*y**2 - 1\/12*y**4 + 1\/3*y**3 - 6*y. Factor i(n).\nAnswer: -(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.125 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, j: 5}. What is prob of picking 1 j and 3 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19976 or 19978?\nAnswer: 19976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101 - -101.00000268. Round a to seven dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9333 + -3377. Is a a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20237, 40184, 60133, 80084, 100037, 119992, 139949?\n\"Answer: i**2 + 19944*i + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/34970 and 11\/146874.\nAnswer: 734370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 51475820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t - 70 = 44*t. Let f = t - -16. Solve 0 = -f*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 13 = -k, 6*a + 12 = 4*k + 10*a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*d - 1243, -3*d + 883 - 139 = 3*g. What is the remainder when d is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 3.1. Let o = n + -3.2. Which is the nearest to o? (a) 0.3 (b) 2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (276\/(-12))\/(-2 - -1*1). Suppose 4*a + l = 39. Solve -2*m - 2 = 4*k, -a*m - 6 = 5*k + 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 + 15*n**2 - 7*n + 4. Let t be v(6). Let i = 91 - t. Suppose 0 = -20*q + i*q - 82. List the prime factors of q.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**4 + 301253300*i**3 - 4537676634284510*i**2 - 27226067939546700*i - 40839105976240005 = 0. What is i?\nAnswer: -3, 30125333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 972947 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -586427*x + 3518554. Determine m(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 8*l + 3. Let j = 9 + -18. Let d be x(j). Let t be (-1)\/(d\/15 - 1). Which is the smallest value? (a) -5\/2 (b) t (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (11 - 8)) + -4 + -2 + 47 - -10?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2875, -2868, -2861, -2854?\n\"Answer: 7*q - 2882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 7*r**6\/360 + r**5\/8 - 17*r**4\/24 + 10*r**2. Let y(k) be the second derivative of n(k). Differentiate y(z) with respect to z.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-106)\/(-424))\/((-2)\/8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 21152*t + 741541. What is g(35)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -490dc?\nAnswer: -490de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.148 + -0.093. Let m = 0.045 + j. Suppose -4 = 4*q - 4*k, 11 = 5*q - 0*k - k. Put m, q, -1 in increasing order.\nAnswer: -1, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d + 28. Let c(g) = 5*g - 55. Determine 4*c(l) + 7*h(l).\nAnswer: -l - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1265326 (c) 0.5 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b - 16. Let a be q(12). Suppose 4*m - 4 = a. Solve 0 = -m*t + 3*t - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -j - 3*s, 4*j = 3*s + s + 36. Suppose -4*c = 2*h - 10, 3*c - 4 = -c + j*h. What is the second biggest value in c, -0.1, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-11) + 476\/77. Solve -x*y = -2*y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 322 (b) -1 (c) 0.3 (d) 2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 24\/14 + 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4760\/8568*(-2)\/25?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -0.2, -0.077, 1\/160, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.93619 weeks to minutes.\nAnswer: 39676.7952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (5 - 6) - ((-8 - 1) + 40)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1116, 1120, 1124, 1128, 1132, 1136?\nAnswer: 1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/4 - 2871*b\/2 + 51759\/4.\nAnswer: -(b - 9)*(b + 5751)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 12. Are 3 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 0.1 (c) 1 (d) 0 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-91)\/58 - 153\/(-102). Which is the nearest to -2? (a) t (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110104 (base 6) in base 2?\nAnswer: -11001000000011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, 1\/5, 1, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2378, -7236, -14582, -24428, -36786, -51668?\nAnswer: -69086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 245 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h = -93*h + 426024. What is the highest common factor of h and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 6*d**2 - 14*d + 9. Let q be (-2 + 4)\/((1 + 1)\/(-2)). Let g be (-360)\/48 - q\/4. What are the prime factors of z(g)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 118*t - 138*t - 147*t)*(1 + 5 - 4).\nAnswer: -334*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 12*s - 2. Let y be d(8). Suppose 0 = h + h - y. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 74*r - 81*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1711, -13797, -46609, -110515, -215883, -373081?\n\"Answer: -1728*o**3 + 5*o**2 - 5*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, -14\/587, 1760, -10, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11397, 22775, 34199, 45693, 57281, 68987?\n\"Answer: 4*z**3 - z**2 + 11353*z + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9474 + 27073. List the prime factors of p.\nAnswer: 7, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 19*g**2. Suppose 3*m - 13 = u, 3*m + 2*u + 1 = 4*m. Suppose -m = y, 0*y - y - 15 = -5*s. Let t(o) = -5*o**s + 6*o**2 - 11*o + 11*o. What is t(v(n))?\nAnswer: 361*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*s + 57, 13*z - 12*z + 118 = 5*s. Solve -g = -3*v + 9 + 9, g - 4*v + s = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p. Let m(f) = -f**2 + 196*f - 7. What is y(m(r))?\nAnswer: r**2 - 196*r + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**2\/2 - 5*u - 1. Suppose 0 = -3*k + 3*h - 12, 2*h - 4*h = 2*k + 20. Determine y(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32493680, -32493679, -32493678, -32493677?\nAnswer: -32493676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q + 5*g + 405 = 0, -5*q + 1947 = g. Suppose 2*m + q = -50. Let x be m\/30*3\/(-2). Calculate the highest common divisor of x and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25686 is divided by 1031?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 48.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3795202.51 rounded to the nearest 100?\nAnswer: 3795200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*((-4)\/(-18))\/((-232)\/522)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108224.5 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 8*b - 3*w - 28, 2*b + 2*w = -24. Let p be b - -11 - 3*-1. Find q, given that -3\/2*q**3 + 0 - 6*q - p*q**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -227, 1\/3, 4, -0.5?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 14*d - 14*d)*(-6*d - 51 + 51) + 243 - 243 + 54*d**2.\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -119) + (-45 + 23 - -17) - -14 - 13?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -273803 (base 13) to base 12.\nAnswer: -39a04b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/4 + o**4\/2 - 39*o**3\/4 - 38*o**2 - 28*o = 0 for o.\nAnswer: -4, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6970 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/33640 and 31\/87464.\nAnswer: 437320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*s + 61*s - 127*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 5*y - 6. Let d be h(7). Solve d*f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 11. Solve s + j = 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5))\/(56\/(-20))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - s + 280 = -3*s, 2*b - 4*s = 112. Solve 0 = 57*k - b*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488070379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 13) to base 16.\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 take away 94?\nAnswer: -94.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**3 - 3*z**3 + 3*z**3)*(33 - 3*z - 33) + (-5*z**2 + 26 - 26)*(3 - 3 + 2*z**2 + 2*z) to a*z**4 + s*z**2 + h + f*z + t*z**3 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-4) - 0) + -3. Let t = g + 3. Is -10\/3 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 2:37 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 651 and 2352?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -460aa - -4?\nAnswer: -460a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 101. Let b = l + 4. Suppose k = o + b, 0 = -o + 3*o. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-662)\/(-930) - 4\/(-60)*-6. Let c = j + 2\/93. Suppose c - 2\/3*i**3 + 5\/3*i**2 - 4\/3*i = 0. Calculate i.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 252*m**2 - m**3 - 234*m**2 - m - 14 - 10. Calculate j(18).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -9) + 8 + -2 + -7 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 606356963275.\nAnswer: 606356963274.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28491 is divided by 7122.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495 divided by -6?\nAnswer: -1495\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 88110067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b + b - 3*b)*(374*b**2 - 183*b**2 - 4*b + 22 - 189*b**2).\nAnswer: 6*b**3 - 12*b**2 + 66*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9694733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -22.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -5*w**4\/4 - 2*w**3\/3 - w**2 - w + 24. What is l(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((2*sqrt(612) - sqrt(17)) + -3))**2*6.\nAnswer: -9900*sqrt(17) + 309900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 15*m - 244. Let x(t) = 9*t - 163. Let r(k) = 5*n(k) - 8*x(k). What is the units digit of r(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-4\/5)*g*g)\/(((g*g**(-14\/5))\/g*g*g)\/g*g))\/(g**(1\/14))**(-33) assuming g is positive.\nAnswer: g**(75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450817440.\nAnswer: 2, 3, 5, 939203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(20) + (sqrt(2000) - -2*sqrt(2000))))\/(-1*sqrt(1000))*-2.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8604*n - 8598*n - 60 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((0 + (sqrt(1539) + (-1 + sqrt(1539))*-6 + -3 + (2*sqrt(1539) - sqrt(1539)))*5)*-1)**2)*-4.\nAnswer: -2463288 + 21600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 4*l + 18, -18 = 5*l - 12*a + 13*a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 329*v + 2855. List the prime factors of f(0).\nAnswer: 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25.0999807 + 25.1. Round n to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 7:23 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1372 and -3143.\nAnswer: 4312196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*a = 0, 30 = 5*s - 0*s + 3*a. What is the first derivative of -4 + 4*b - 2*b - 3*b - s*b wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 84518 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -16. Let w = -5 - s. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1576157?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*3\/(-60))\/(6\/10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 8*v + 3. Let r be 10\/(-1 + (3 - 0)). Suppose 2*j = 4*c + 4, -j - 38 = 2*j + r*c. Is m(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (1 + -1)) + -52 + -61 + 106 + -10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -7037, -3, -4 in descending order.\nAnswer: 8, -3, -4, -7037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 10732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 46, 73?\n\"Answer: 27*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-3))\/((-6)\/(-360)). Suppose -s = 5*i - 125. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d*m + 10*d + m**2 - 14*m - 9 wrt m.\nAnswer: 2*d + 2*m - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.97 - -1.97. Which is the third biggest value? (a) 11 (b) 9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-1) + -2)\/(-4). Let y(l) = -l**2 + 7*l - 3. Let q be y(6). Suppose -q = -2*m + 1. Solve j - 4*h + 0*h + 18 = z, -3*h + m = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/1 + (-66)\/(-15). Let z = 566\/385 + 10\/77. Let 2\/5*w**4 - 8\/5*w - z*w**3 + s*w**2 + 2\/5 = 0. Calculate w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -14*o - 23. Calculate x(-6).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 + 3*u - 1. Suppose 5*r - 17 - 3 = 0. Suppose -5*c = 4*b - 0*b - 8, 0 = r*b + 3*c. Determine v(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = o - c - 13, -5*c + 5 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1692684 divided by -126?\nAnswer: -13434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 396*y - 796.\nAnswer: (y - 2)*(y + 398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + sqrt(425) + -2)**2.\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -40*s - 28. Suppose -12*k = -357 - 363. Calculate the lowest common multiple of k and l(-1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**7\/84 - 5*x**4\/8 - 5*x**3\/2 - 15*x. Let u(i) be the second derivative of t(i). What is the derivative of u(j) wrt j?\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 812 = 457 - 889. Solve -t*s + 22 = -138 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 0, 305, -5 in increasing order.\nAnswer: -5, 0, 1, 4, 305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o - 310 = -20*o. Sort -2\/3, -4, 3, o in decreasing order.\nAnswer: o, 3, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 392*t + 26970. What is k(303)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196 and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*5*((-216)\/45)\/(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33.7627 - 19319550\nAnswer: -19319516.2373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 336 and 2.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560\/(-15540)*(-6)\/4.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (2 + 3 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 477436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 11*u**2 + u + 17. What is v(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 1\/7, 277.\nAnswer: -4, 1\/7, 2, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**4 + 3*p**2 - 375*p - 11997.\nAnswer: 8*p**3 + 6*p - 375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 5537860\nAnswer: 1\/1107572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (15 - (37 - 36))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 844284792*h - 44551050625155204.\nAnswer: -4*(h - 105535599)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2114 is divided by 53.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/(-14) - 9\/63)*23. Suppose -k - 5*o + 8*o + j = 0, -31 = -k + 5*o. Calculate the smallest common multiple of 10 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*v - 115*v + 3*z - 21 = 0, -4*v + 0*z + 9 = -z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/5 - 3 - 78\/(-10). Suppose -28*r + 29*r = y. Suppose -4*h = -0*m + m - 6, 0 = 4*h + 4*m. Solve 2*i - h*a + r = -0*i, 0 = -a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -14*l - 5 + 21*l - l**2 - 14*l. Let y be d(-5). Find the first derivative of -9*h**3 - 6 - y + 22*h**3 + 2*h**3 wrt h.\nAnswer: 45*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c - 2*c + (0*c + 0*c + 2*c)*(3 - 1 - 1))*(-3 - 3 + 5).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -98*g + 226. Does 86 divide x(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + 2. Let z = 153 + -26. Let j = z + g. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)*f*f*f**(-6)*(f*f\/(f\/f**(2\/11)))\/f*f**(2\/21) assuming f is positive.\nAnswer: f**(-1784\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 34*v**2 + 55*v**2 - 22*v**2 - v**3 - 31*v**4 - 3*v to y*v**2 + t*v**4 + x*v**3 + p*v + l and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.13 + -5.13. Let q = -260 - -1304\/5. Which is the second smallest value? (a) 2\/11 (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 8 + 32. Does 17 divide 2\/k + 595\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 3*a + 4. Let w(j) = j - 6. Let m be w(-2). Does 36 divide g(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 14 - -9) + 3 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 4:18 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5154884129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 92040 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 12:49 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 31324 = -22*x. Let g = 1414 - x. Calculate the remainder when g is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 219*l + 707*l - 242*l - 245*l.\nAnswer: l + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -363354?\nAnswer: 363347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 - 2.2. Let a = -33 + 38.1. Let h = a + k. Put -4, h, -2\/11 in descending order.\nAnswer: h, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/5, -0.06, -1, 1.376, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -80 * -1.2\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -380080776 by 1.\nAnswer: -380080776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = 2*x. Suppose -171*o + 18 = -165*o. Solve o*y + c = 2*c + 3, -4*c - 2 = -x*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5 - 2 - 5 - a + 5. Calculate the lowest common multiple of n(-5) and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52412.\nAnswer: 2, 13103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t - 4*u - 17 = 0, -5*u = 2*t - 86. Calculate the least common multiple of t and 1.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 + -28 + 15 + -6?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqq when three letters picked without replacement from {v: 6, p: 2, q: 7}?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -26. Suppose -c*d = i - 5, -i - 2*d = -2*i + 35. Let n = 51 - i. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -4*g - v + 27, v + 120 = 4*g. Suppose -5*i = 2*n + 17, -7 = i - 2. Let m be ((-46)\/n)\/((-18)\/48). Which is smaller: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-6)*(1 + 1). Solve -r = q - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 8 + (2 - 8) - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.157 - -0.857. What is the third smallest value in 0.4, b, -3.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmmbmwbm. What is prob of sequence qwbb?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 2*j**2 - 3*j. Let d be (-4)\/(-40) + 51\/(-10). Let z = 6 - 8. Let o be 1*z\/5*d. Calculate g(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.83 + 2. Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31544*k**2 + 31541*k**2 - 141 - 3*k + 6*k as a*k**2 + l + i*k and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -18*((-16)\/(-36) + (-2)\/(-9)). Let r be (-10)\/14 - n\/(-42) - 1. Put 5, 38, 3, r in ascending order.\nAnswer: r, 3, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2*g, 0 = 4*f + g - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8294 divided by 29\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 - (-2 - (-32)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33\/2 + 17. Is i at least as big as -0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*v = 44*v - 2*l + 9970, 3*v + 4*l - 5996 = 0. What is the remainder when v is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2bc (base 14) in base 8?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4339 and 0.2.\nAnswer: -867.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhwd when four letters picked without replacement from {a: 1, w: 1, f: 1, d: 1, h: 1, e: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 17. Let t(a) = a**2 - a - 2. Determine k(v) - t(v).\nAnswer: -v**2 + v + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 0.6. Let b = 6.6 - p. Let i = 7 - b. What is the nearest to 2\/9 in -4\/5, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/4)*m*m)**(-2\/69))**(-38))**(-13) assuming m is positive.\nAnswer: m**(-741\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - b + 1. Let s(l) = -11*l**2 + 9*l - 7. Let n = -11 - -12. Let p(w) = n*s(w) + 6*u(w). Let m be p(2). Are m and -14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 5429849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-209)\/(-4))\/11 + 1\/4. Suppose y*k = -5*l - 40, -2*k - 16 = -2*l - l. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17cc8 - 12?\nAnswer: 17cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/12 of a day?\nAnswer: 93600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(66) - sqrt(66)*3)*-5)\/(sqrt(150) + -5*-3*sqrt(150)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6 = -18. Let p(v) = -v**3 - 3*v**2 + 4*v + 2. Let a be p(-4). Suppose -a + o = -2*x. Let m(l) = -4*l + 3. Let h(q) = 2*q - 1. Give x*h(i) - 2*m(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + (-235)\/(-5))\/(-1). Let c be (-6)\/7 - o\/77. What is the second smallest value in c, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 5*x**2 + x - 1. Let z be y(5). Let h be (-4 - (-20)\/z)*11. Let m(o) = o + 6*o**2 + 0*o - 4*o**2 + h*o. Let f(w) = 2*w. Determine m(f(p)).\nAnswer: 8*p**2 + 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 + -86.64. Let g = l - 3.26. Let f be 1 + 3 + (6 - 7). Which is the second smallest value? (a) -1\/4 (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1057769060 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 11504220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31017285?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 equal to 13285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, i: 1, k: 2, s: 4}. Give prob of sequence skik.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2200 (b) -4 (c) -0.377 (d) -80\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*l + 26*l - 24*l + (-l + l - 2*l)*(-227 - 143 + 89).\nAnswer: 576*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 14.6. What is the smallest value in -1\/9, 0.3, f?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 2 - (-4 + 1). Suppose -10*a - 13 + 3 = 0. Put a, n, 1 in decreasing order.\nAnswer: n, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 669*k - k**2 + 672*k.\nAnswer: -k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15\/(-3) - 78440\/(-40)?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13547 and 3680?\nAnswer: 2167520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 471525, 471610, 471755, 471960?\n\"Answer: 30*i**2 - 5*i + 471500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -158*v + 4032. What is p(26)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-726)\/40*4\/(-6) and ((-4)\/64)\/((-2230)\/(-1112) + -2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21925717 to the power of 1\/2, to the nearest integer?\nAnswer: 4682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 7*n**2 + n - 5. Let d be v(7). Let o(b) = -1 + 2*b**2 - b**2 + 47*b + 0*b**2 - 44*b. What is o(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7514 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -94 + (-83 - (-249 + 51)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/60 and (461\/(-270) - 48\/(-360)) + 1.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 9.8. Suppose -4*m + 6 + 1 = -3*u, -14 = 4*u - 3*m. Which is the second biggest value? (a) z (b) -4 (c) u (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -7) + 8\/16*-2. Suppose 0 = -n + c*m + 12 - 0, -2*n + 9 = -m. What is the nearest to 3\/2 in -3, 2, -2\/5, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2166855?\nAnswer: 3, 5, 19, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23871 = 545*x + 35316 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3342, -5571, -7814, -10077, -12366, -14687?\n\"Answer: -b**3 - b**2 - 2219*b - 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2396374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 571 + -4593\/8. Let z be 16431\/(-2)*(-44)\/(-33). Let c = z - -197083\/18. What is the common denominator of y and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1\/(-1))\/(47\/(-47))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53005 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27864 is divided by 9287.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 23 - 92*c - 11 + 20 - 13 - c**2 to j + a*c**2 + m*c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -619\/375 - 2\/125. Let u = -0.1 + -1.9. Let w = u + 2.4. What is the smallest value in 0.2, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p**2. Let d(b) = -6536*b. Calculate d(z(x)).\nAnswer: 58824*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 34*n**2 + 147*n - 39. Give z(6).\nAnswer: 2067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19646*r**2*u**2 + 663*r**2 - 146*r*u**2 - 2*r*u - 143*u**2 + 162*u wrt r?\nAnswer: 39292*u**2 + 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 10*j + 5. Let q be x(2). Solve -4*n = n + q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {i: 5, z: 14}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 772 + 798 = 0. Let f(g) = -3*g + 0*g + 2*g + 0*g - 5. What is f(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -2, -1\/16 in descending order.\nAnswer: 3\/8, -1\/16, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j. Let z(r) = 33*r**2 - 2*r - 55. Determine x(z(c)).\nAnswer: 33*c**2 - 2*c - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {s: 1, l: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232451, -464710, -696995, -929318, -1161691, -1394126, -1626635, -1859230?\nAnswer: -2091923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -0.03, -1\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4662*i**2 + 8*i*z - 3*z + 26424 with respect to i.\nAnswer: -9324*i + 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 - 89*r**2 + 151*r**2 + 18*r - 6*r**3 + 33 - 102*r**2.\nAnswer: -2*(r - 1)*(r + 7)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 22 + 2. Find v, given that -28\/3*v**x + 8\/3*v + 20\/3*v**3 + 0 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from {t: 3, q: 5, m: 3, i: 6}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 7.3. Let t = -281 - -1970\/7. Let p = 931 - 930. Which is the closest to p? (a) -1\/2 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 - -79) + -16 + -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46063051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from ppiippdipiif?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51417 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - 3*s + 6*s**3 + s**2 - 1 + 2*s**4 - 2*s**3 - 3*s**2 to the form f*s**3 + i*s + u*s**4 + l + a*s**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 296 = -35. Let r = c - -122. Suppose d = -3*q + r, -201 = -3*d - q - 80. Calculate the remainder when d is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3785 - -3817. Solve 16*g - y*g = 32 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 4*i**2 + 19*i - 44. What is o(0)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-8 + 4)) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-12) - 5)\/((-10)\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**8\/21 - 4*w**7\/21 + 11*w**6\/40 - 3*w**5\/20 + 159*w**2. Factor f(h).\nAnswer: h**2*(h - 1)*(4*h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 87*s**2. Let d(h) = 14*h. Give i(d(a)).\nAnswer: 17052*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 4478935.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70817 + -356352\/5. Let h = -452 - z. Is -1\/4 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4047, -4033, -4019, -4005, -3991, -3977?\nAnswer: -3963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1100205934 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7436*d**2 - 14869*d**2 + 7434*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002785706 rounded to six dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-40)*5)\/((-57)\/(-76))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -41, -16, 9, 34, 59, 84?\n\"Answer: 25*n - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n - 61*n - 21*n = -671 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-798 - 20*v + 798)*(7*v - 4*v + 5*v) to s + m*v**2 + k*v and give m.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330170 is divided by 1339?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*k**2 - 111345*k + 31810.\nAnswer: 5*(k - 3181)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 39*p + 2. Let k(z) = -244*z - 11. Let n(s) = -25*g(s) - 4*k(s). Let u(v) = -12*v**2. Give n(u(y)).\nAnswer: -12*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*j - 2*j = 32, -2*j = -2*k + 24. Calculate the remainder when k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2447?\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 7*g**2 - 4*g + 9. Suppose -t + 4*x = -3, 9*t - 7*t = -x + 15. Calculate l(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*d - 18 - 167 = 51*d. What is the remainder when 219 is divided by d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 0*x - 9*x - x + 62 - 5*x. Let c be w(4). Solve 3*j - 10 = -2*g, -c = -2*j + 4*g + 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 8 = -5*d. Suppose d*w + 60 = -2*w. Let u = 24 + w. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 32. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 142524*n. Let d(g) = 8*g. Give d(s(r)).\nAnswer: 1140192*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4240 - -3021?\nAnswer: -1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013439053622 rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29591 (base 14) to base 8.\nAnswer: -310353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 + 34*h**2 - h + 35. Give m(-17).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 122246652?\nAnswer: 1222466520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/7*(-20)\/(-6). What is the tens digit of 2\/(-5) - 144\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*j - 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o**2 + 96*o**2 - 38*o**2 + o**3.\nAnswer: o**3 + 44*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/1)\/(5\/15). Let r = -0.02 + 3.02. Which is the second biggest value? (a) v (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**2\/4 - 123*r + 504 = 0.\nAnswer: -168, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 12 = 5*y - 10*y, -15 = -3*y + 5*r. Let g(s) be the third derivative of 1\/120*s**5 + y - 1\/6*s**3 - 2*s**2 + 0*s + 1\/48*s**4. Solve g(b) = 0 for b.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.1305 rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 10 = g + g, -4*g + 2*y = -20. Let r(w) = -4*w + 3*w + g*w - 5*w. Let l(b) = 2*b. What is l(r(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 313. Let a be b\/684 + (-8)\/18. Is 2\/837 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2. Let i(v) = 4644*v. Calculate w(i(d)).\nAnswer: -43133472*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 841181373?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/42 of a week?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/105)\/((-5)\/7)*10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**4 - 2*o**3\/3 + 17*o**2\/2 - 40*o. Is l(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17384, 34736, 52088, 69440, 86792?\n\"Answer: 17352*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-3) - (-1)\/3. Let j be (7 + -11)*-3*1\/2. Suppose i - j = w. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 8*i + 8. Let m(q) = -2*q**2 - 16*q + 15. Let o(x) = 11*a(x) - 6*m(x). Let z be o(-8). Let c(k) = 2*k**2 - 2*k + 1. Is 6 a factor of c(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - 3*s + 5*s)*(-85*s + 85*s - 10*s**2) to z*s + p*s**2 + i*s**3 + q and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4500400523 and -1.\nAnswer: 4500400522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g - 3*g = 0. Suppose 4*a - 4*w - 673 = w, g = -4*w - 4. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554461 a multiple of 1220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/40 - -71\/120. Which is the third biggest value? (a) 0.3 (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 i, and 2 y when four letters picked without replacement from kgygbibyggbgg.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j + 3 = 0. Suppose -4*s + 15 = -3*b, -8*b + j*b - 2*s = 51. Let q = b - -15. Calculate the smallest common multiple of q and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1774, -3473, -5142, -6763, -8318, -9789, -11158, -12407?\nAnswer: -13518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3933.71 to the nearest 10.\nAnswer: -3930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*((-4)\/18)\/(10\/15). Suppose f = -4, 5*f + 22 = 3*o - t. Solve 3*a - o*a + 1 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {m: 7, f: 5, z: 2}?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - 0) + (1 - -3)*6194?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 1 (b) 62 (c) 1\/4 (d) -20.5 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.1 + -5.9. Let o = x + 23.5. Which is the nearest to 0.1? (a) 1\/3 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 7:53 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/(3*3\/(-36))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233115 by 134.\nAnswer: -233115\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17 - -4.17. Let l = 0.2 - 0.3. Let p = 4 + -6. Which is the closest to l? (a) w (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*u - 28 = -137*u + 58*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4\/5 + 384177*u**3\/5 - 537822*u**2 + 2304936*u\/5 = 0 for u.\nAnswer: 0, 1, 6, 128052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, i: 4, q: 1}. What is prob of sequence jii?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**2 + 3*k**2 + 3*k**2 + 3*k**3 + 2*k as d + x*k**2 + a*k + v*k**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/2))**(14\/3)\/(k**(-2\/5)\/(k**(-3\/2)*k)))\/(((k\/((k**(-1\/4)*k)\/k))\/k**(-2))\/(k**1\/k)**(-2\/39)) assuming k is positive.\nAnswer: k**(-341\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**7\/1400 - j**6\/120 - 97*j**3\/6 + 97*j**2. Let q(s) be the first derivative of w(s). Suppose q(h) = 0. What is h?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -31. Which is the second smallest value? (a) -2\/5 (b) s (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 5, g: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-30 + 12)) + -31?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, v: 2, s: 2, x: 2}. What is prob of picking 1 x and 1 s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 + m. Let d(o) = -o**2 + o. Let t(a) = 5*d(a) + i(a). Let w(y) = 3*y**2 - 8*y. Let z(b) = 4*t(b) + 3*w(b). Let k(j) = 6*j. Determine z(k(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Let u be 45\/81*r\/5. Sort -1\/4, 0.5, u in increasing order.\nAnswer: -1\/4, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.6 - 5.547. Let c = 0.463 - x. Let n = 0.4142 - c. Round n to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3401 (b) 8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 5:17 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 - 76 = 11*r + 7*r. Let g = -26 - -27. Let q(y) = y**3 + y**2 - y + 1. Let v(j) = -10*j**3 - j**2 + j - 1. Calculate g*v(b) + r*q(b).\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*w + 344*w = -4*m - 92, -4*m = 5*w + 120 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -9. Solve -15 = y - o*v, y - 2*v + 33 = 6*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 522 - 311. Let i(k) = -k**2 - 17*k + 4. Let u be i(-17). Suppose -m = -u*v + 3*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -154446*q**2\/11 - 112324*q + 32\/11 = 0?\nAnswer: -8, 2\/77223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 435 + -420 - (4 + -30)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 at most as big as -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 456 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38325 divided by 12775.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 10*i**2 + 40*i - 7. Give w(-4).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1396395 and 5\/33?\nAnswer: 1396395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 121c9 (base 13) to base 6\nAnswer: 414041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0, 5, -10, 2\/5, -69, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*j + 262*j = -640*j + 162*j + 68*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4229064 divided by 41.\nAnswer: 4229064\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -169, -414, -20, 4, 5 in increasing order.\nAnswer: -414, -169, -20, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/(q\/q**(1\/3)*q)))\/(q**(-5)\/q*q)*q**(-13\/4)\/(((q**11*q)\/q*q)\/q) assuming q is positive.\nAnswer: q**(-103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62217 + -42699. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820085843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 + -86 + -91 + 11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -2*t + 13, -4*t + 7*c - 2*c - 19 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 4*w**2 + w. Let f be z(4). Let h be 2\/4 + (-427)\/14. Let s = -28 - h. Solve -s = -3*n + f*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3146\/5 - -24583\/40. Put -1\/7, l, -1\/3 in descending order.\nAnswer: -1\/7, -1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 8974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, -2107.1 in increasing order.\nAnswer: -2107.1, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 34.4?\nAnswer: 34.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3844 + 835. Let q = 4702 + j. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688905925.\nAnswer: 5, 53, 277, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - 19) + 72 + (-1 - -14)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o + 854 = 4*l, 4*o = -l + 1715. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002047281 rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-4) - (-9)\/6. Suppose c - 65 = -4*r. Let b = 58 - r. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 10 = 4*f + 5*o, -f - o = -3. Suppose -6*c = -252 + 192. Solve c = -f*n + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*t + 9*t - 4*t**2)*(-10 + 12 - 5)*(-t - 3*t + t) to the form g + j*t + u*t**3 + h*t**2 and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -105 - 13?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/8 of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 13*b + 6. Determine o(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13321211 (base 5) to base 7\nAnswer: -1103636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**3 - 2 + 2*y + 0 - 5*y**3 - 7*y**4 + 0*y**2 + y**3 + 9*y**2 to the form x*y**3 + f + c*y**4 + t*y + r*y**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvpvvvhspp. What is prob of picking 1 p and 1 h?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/(4\/(-24)). Let r = 3.3 + -3. Let v = -0.1 - r. Which is the second smallest value? (a) m (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4187 - 25*x**3 + 56*x + x**4 + 4187 + 33*x**3 in the form q*x + b + m*x**3 + f*x**2 + d*x**4 and give q.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/6660 and 51\/32.\nAnswer: 53280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j + 17 + 47 = -0. Put -10, -0.45, j in decreasing order.\nAnswer: -0.45, j, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*y. Let x(u) = 2*u + y*u + 0*u. Let j(g) = -152*g**2 - 8*g - 8. Let b(q) = 96*q**2 + 5*q + 5. Let v(s) = -8*b(s) - 5*j(s). Calculate x(v(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*c - 35, 4*c - 3*d = 1 + 4. Let h be c + (-78)\/15 - 2\/(-10). Solve -r + h - 8 = 4*j, -j = 2*r + 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - o = -4*o + 43, -4*u + 51 = -o. Suppose u*f + 17 = -11. Sort 5, f, -17 in decreasing order.\nAnswer: 5, f, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 678, 2425, 5340, 9423, 14674, 21093, 28680?\nAnswer: 37435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:25 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/20)\/((-51)\/(-34)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-405)\/(-35) + 1 - 192\/(-448))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-10)\/(-72))\/(((-4800)\/(-90))\/(-32))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*z + 92, 5*o - z - 248 = -0*z. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/15 - 22\/(-6). Solve -3 = -r*s - 3*m, -4*m = 5*s - 7*s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -97154, -97125, -97096, -97067?\n\"Answer: 29*y - 97183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/(-6) + 3)*14. Let g(c) = c**2 + 9*c - 10. Let u be g(-10). Suppose -14 = -7*n - u*n. Solve -2*j = -n*s + j + r, 4*s + j = -7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*d + 275 - 95 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l - 8. Suppose 26 = 3*r - 58. Suppose -2*c + 55 = -0*s + 5*s, 3*c + r = s. Let m(d) = 11*d + 17. Calculate s*x(p) + 6*m(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 124418 - 124406. Let k = 0.06 + -0.36. Let a = k + 0.8. What is the biggest value in 0.2, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12\/3443 - -6946\/17215. What is h in 2\/5*h**2 + 4\/5*h + s = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.161 + 19.3. Round m to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 - 92. List the prime factors of y\/1*1\/(1\/(-291)).\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 33*c**3 + 24*c**2 - 60*c.\nAnswer: 3*c*(c - 1)*(c + 2)*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 8*w**2 + 9*w + 2. Let n be c(2). Suppose z - 2*z + 10 = -2*t, 2*z = -4*t - 20. Let l be (t + 6)*(1 + 2). Put -5, n, l in descending order.\nAnswer: l, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -8*a**3 + 2*a**2 + 3*a + 2. Let x(o) = -o**3 - o**2 - o - 1. Calculate c(b) + 2*x(b).\nAnswer: -10*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -92*k - 4986. What is s(-54)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 13 + 3 + 16 + 21)*(-518*z**5 + 545*z**5 + 524*z**5).\nAnswer: 44631*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6) + (-5)\/(-3). Suppose -4*m = -7 - h. Let r(w) = -w + w**2 + 3*w - 2*w**m. Calculate r(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.5 take away 0.02?\nAnswer: -30.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + z. Suppose 3*f = -z*f + 114. What is the least common multiple of f and 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(sqrt(242)*-1 + sqrt(242)) + -4)**2 + 4 + 4 + (((-1 + sqrt(242))*-6)**2 - sqrt(242)).\nAnswer: -803*sqrt(2) + 8772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) 4 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 8*c + 6. Let y be u(8). Let k(r) = -3*r - y*r + 6*r + 4*r. Let n(m) = 4*m**2. Determine n(k(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.5? (a) -5\/6 (b) 2\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = n - 19, -4*z + 55 = 27*n - 24*n. Solve -n*q = 45 + 39 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.001 - -0.00099768. Round y to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*d + 22, -4*d + 3*d - 5*x = 4. Suppose -188 = -d*w + 2*w. What is the remainder when w is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 16 - 12. Let l be x\/10*6*15\/(-6). Solve q + 6 = l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 2*p - 5. Is s(9) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.90503543 - 0.5.\nAnswer: 6.40503543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -30. Let b be 80\/(-308) - (-4)\/(-14). What is the third smallest value in b, l, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-272)\/252 - -1 - 32\/(-144). What is the second biggest value in -1\/7, 110\/17, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 79?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*q + 19 - 1 = 0, k - 29 + 2 = 3*q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 2*u**2 - u + 1. Let o be a(-2). Let z = o + -5. Let n = z + 17. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4 - (-141)\/470. Let j(l) = -l - 8. Let k be j(-6). Let o be 1*k\/3 - -1. Which is the nearest to 2\/5? (a) x (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011765 rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/2)\/(52\/130). Solve 3*b + f*d + 32 = 0, -2*d = b - 4 + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-8))\/(1\/(-14)). Suppose -2*l - 200 = -g*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 4:40 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144956*g*k*n**3 - 2*g*k*n - 12*g*n + 30899*g + 23*k*n**2 wrt n.\nAnswer: -869736*g*k*n + 46*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 13*k**2 - 7*k - 6. Let m(l) = -l**2 + 14*l - 4. Let y be m(14). What are the prime factors of f(y)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3\/10 + r**2\/5 + 27*r\/10 - 9\/5 = 0. What is r?\nAnswer: -3, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 6) + -2 + 6 - 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 28 = v. Let x be (-4)\/6 + 110\/30. Let j be 13\/x + (-2)\/6. Solve 0 = f - j*f - v*n, -n = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12072 is divided by 238?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o**2 + 14*o - 14. Let s(z) = -4*z**2 + 6*z - 12 + z + 3*z - 6*z + 8*z. Let g(n) = 6*a(n) - 7*s(n). Let r(t) = 2 - 2 - 47*t. What is r(g(i))?\nAnswer: 94*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/2703, 1\/11, -3\/4, 7\/6, 197, 5, -4?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 8. Suppose -3 + 17 = 3*p - 2*g, 5*p = 5*g + 25. Let h be y(p). Let x be -2 + h*1*8. What is x rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2605 + 7010*f - 6251 + 3646.\nAnswer: 7010*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583821961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65735*p = -6*n + 65734*p + 51, -3*n + 5*p - 156 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.41411 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35311 is divided by 35239.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + x + 1. Let a(k) = -4*k - 8. Let s(c) = -a(c) - 6*l(c). Let z be s(2). What is the greatest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - 19?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 1:33 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 9:41 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1111192, 2222384, 3333576?\nAnswer: 4444768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39690 + 39760 = -2*l for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 0 + 0*p**5 + 2*p - 1\/12*p**4 + 0*p**3 + 1\/14*p**7 + 0*p**6 + 0*p**2. Find the third derivative of k(h) wrt h.\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 0 (c) -1\/4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 35*f**2 - 33*f**2 + f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/2 - 4561743*z - 6936499732683\/2.\nAnswer: -3*(z + 1520581)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13016 + 3?\nAnswer: -13013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**5 + 182*v**4 + 4 - 230*v**4 + 4*v**5 + (2*v - 2*v - 3*v**2)*(0*v - 2*v**3 + 0*v).\nAnswer: 5*v**5 - 48*v**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (480\/96)\/(1*-1). Let k(d) = -346*d - 139. Is k(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 4. Let b = -28 + 28. What is the closest to b in 0, j, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -18. Suppose -3*r = v*r - 185. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + (1 - 0))\/(-1). Let y = 6 + m. Calculate the lowest common multiple of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 17 - 40 - 112 - 469)*(1 - 6*y**5 - 1).\nAnswer: 3672*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (583\/(-165) - -2) + (-6)\/(-5)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 16 + 0 = 0. Suppose 2*b - 27 - 41 = -t, 272 = w*t - 3*b. 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: b\"What is the ath term of 5779, 8952, 12117, 15268, 18399, 21504?\n\"Answer: -a**3 + 2*a**2 + 3174*a + 2604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -384.78 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 63890.3 and -512489.5.\nAnswer: -448599.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 41 = 4*a, y + 5*a = -9 - 5. Let v = 16 + y. What is the least common multiple of v and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -11*k + 2. Let r(l) = -22*l + 5. Let p(w) = -5*g(w) + 3*r(w). What is the derivative of p(z) wrt z?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -10, -o - v - 34 = 34. Let m be (-121)\/o - (9 + (-830)\/90). Let m*f**2 + 0 - 3\/7*f**4 + 3\/7*f**5 - 9\/7*f**3 - 6\/7*f = 0. What is f?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1521069 and 64.\nAnswer: -97348416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*t + 57049 = 0, -8*c + 228259 = -4*c + 5*t. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346\/59 >= 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1\/2 (c) 2\/17 (d) 0.835\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-9)\/x*x)\/(x*x*x\/x**(-1\/2)*x*x)*(x\/(x*x\/(x\/x**(1\/20))*x*x))\/((x\/x**(-2\/41))\/x))**(-23\/4) assuming x is positive.\nAnswer: x**(313053\/3280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -1642 - -1896. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3280, 2, 5 in increasing order.\nAnswer: -1, 2, 5, 3280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((5*(sqrt(78) - (sqrt(78) - (sqrt(78)*-1 - sqrt(78)))) + sqrt(78))\/(sqrt(6) - -1*sqrt(96)))**2 + 0.\nAnswer: 1103\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 44162173.593?\nAnswer: 44162170.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115.59 - 115. What is w rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*o = -87824, -8*f - 4*o - 263487 = -11*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 846, 6737, 22722, 53847, 105158, 181701, 288522, 430667?\nAnswer: 613182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*d**2*m**2*w + 4*d**2*m**2 + d*m**2*w + 6*m**2 wrt w?\nAnswer: -11*d**2*m**2 + d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efqa when four letters picked without replacement from haheaqpeeqphfhhfqh?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*x + 7. Let r(h) = -4*h**3 + 2*h**2 + 4*h + 4. Let p be r(x). Calculate the greatest common divisor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -2 - (9 - 22 - -11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8502774 is divided by 4251371.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -2\/13 (c) 3\/2 (d) -37\/5 (e) -189\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*q - 15*q. Suppose q = -12*o - 2*o + 70. What is the second derivative of -k**5 - 8*k**5 - 21*k + 9*k**5 + 7*k**o wrt k?\nAnswer: 140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6639614?\nAnswer: 2, 3319807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -12. Let l = 1.2 - 1.5. Which is the smallest value? (a) -0.4 (b) l (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 16*y - 51. Let a be f(3). Suppose 5*g + 2*w + 18 = 0, 11*w - a*w = -4*g - 11. Which is bigger: -6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a + 14. Let l be z(-6). Let r(o) be the third derivative of o**4\/24 - o**3\/6 - 2*o**2. Determine r(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 22 = 4*w. Suppose -2*o = -o - w. Suppose -3*c = 12, 2*c + 0*c = -l + o. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*p + 353*p - 1066*p + 360*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 149, -840, -1825, -2806, -3783, -4756, -5725?\n\"Answer: 2*a**2 - 995*a + 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*j)*(-j - 2 + 2)*(93 - 58 - 58) to g + v*j + b*j**2 and give b.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22980 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l**2 + 0*l**2 + 119*l + 132*l - 251*l. Let g(h) = 2*h**2 - 6*h - 6. Let u(v) = v + 1. Let n(p) = g(p) + 6*u(p). Calculate n(z(s)).\nAnswer: 162*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**4*c**(-16\/5))**(-4) assuming c is positive.\nAnswer: c**(124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a - 68 + 248 = 50*a - 510 for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 42*z + 45*z = -7, 0 = -l - z - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m - 2*m + 4*m + 1 - 1 + m - m - 3*m + 5*m + (1 - 3 + 0)*(2*m - 3*m - m) + 1 - 1 + 2*m - 4 + 4 - 2*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/(-120) - (-12)\/16) + 5\/(50\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37586 is divided by 12487.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(800)*-2 - (sqrt(800) + 1*-1*sqrt(800)))\/(((sqrt(64) + sqrt(16))\/sqrt(4) - ((sqrt(24)*-1)\/sqrt(6) + sqrt(4)))*4).\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -332016*k*m**2 - 9*k - 4647*m**2 - 2*m + 498 wrt k.\nAnswer: -332016*m**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152)*3)\/(sqrt(45)\/(sqrt(35)\/sqrt(7))).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p + 1. Let c(i) = i**3 - i**2 - 3*i - 2. Let j be c(3). Let s = 8 - j. Calculate o(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3161 or -9482\/3?\nAnswer: -9482\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 10:06 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4 + 2)\/1)\/(8\/(-40)). Solve 0 = -4*g + 3*b + y, g + 4 = -3*b + 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127 - 107. Let t = h - -233.999983. Round t to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h**4 + 2112700*h**3 + 61993308216*h**2 + 13776186384*h = 0 for h.\nAnswer: -58686, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 2*k**2 - 13*k**3 - 67*k**3.\nAnswer: -80*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 82 = -2*n, -5 = n + 5*g - 37. Let a = -15 + n. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0176*-1.\nAnswer: 0.0176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**3 + 81*p**2 - 14*p + 3*p**3 - 60*p**2 + 2*p - 2*p**3 in the form m + u*p + w*p**3 + l*p**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152576 = 306*a - 1556740. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 - 3 + 2*m + 3*m + 2*m wrt m?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -16*u**2 - 5*u + 1. Let w(m) = 4*m**2. Determine o(w(z)).\nAnswer: -256*z**4 - 20*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537388556 is divided by 179129511?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f - 6*u + u, 3*u = 2*f - 6. Let i(g) = 3*g. Let p be i(1). Let r be (-1)\/3 - (-38)\/6. Solve l = -5*c + 11 + r, 3 = -p*l + f*c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 2:27 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22946960 - -4?\nAnswer: 22946964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6615217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 30. Suppose 46 = 16*y - f*y. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z - 1. Let n be 19\/4*-13 - (-7)\/(-28). Let m = 59 + n. What is w(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 11\/6 (c) -1\/3 (d) 0.155 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 + 162*c + 144. What is r(-52)?\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 471.3526ug?\nAnswer: 0.0000000004713526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -7*v + 2*v - 115, 3*v + 58 = w. Let f be 132\/v + 6 - 10\/14. What is the tens digit of f\/(-2) - (-299)\/26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 + 181. Suppose -q + 2*y + 38 = 4*y, -3*q = -3*y - b. Calculate the remainder when q is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 - 17*h + 47. Give u(-9).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718912?\nAnswer: 2, 47, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 11*n**3 - 15*n**2 - 11. Let s(k) = -5*k**3 + 8*k**2 + 5. Give -7*s(v) - 3*z(v).\nAnswer: 2*v**3 - 11*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 310 + -227. Suppose -87*p = -y*p - 60. Calculate the greatest common divisor of p and 555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*f - g - 2, -4*g = -5*f - 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.1, -249, -5, -0.5 in decreasing order.\nAnswer: 0.1, -2\/9, -0.5, -5, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18328 is divided by 129?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**6\/120 - f**5\/10 - f**4\/24 - 5*f**3\/3 - f**2. Is 16 a factor of x(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-39)*26)\/((-8)\/600*-25)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 418*p**2 + 4179*p - 17. Determine v(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.15 - 7.85. Let f = -8.1 - d. Let m(o) = o**2 - 2*o - 7. Let j be m(3). What is the closest to j in 0, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qggqq. Give prob of sequence qqgg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 - -76.681. Round s to two dps.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 - (-147 - (-97 + 103)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 + 16805*k**2 - 16805*k**2.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118.5 + 119. What is the biggest value in 8, -0.1, g, -0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 43. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14523934 - -4?\nAnswer: 14523938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {w: 9, j: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.44 - -1.54. Let x = -0.4118 - -0.0118. Which is the biggest value? (a) -2\/15 (b) j (c) -0.1 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115214 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5\/4 - 664*v**4 - 31415*v**3 + 1849465*v**2\/2 - 7010261*v\/4 + 1719823\/2 = 0. Calculate v.\nAnswer: -67, 1, 19, 2702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 1. Let c be h(3). Let q be 12 + c\/4 + -1. Let t be (3\/1 + -1 - 3) + 1. Solve t*a - 3*a = q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2912 and -25.\nAnswer: -72800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*y + 717264 = -91*y. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 11:23 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 smaller than 343386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**5\/20 + 7*z**4\/12 + 2*z**3\/3 + z**2\/2 - 6*z. List the prime factors of s(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 52*h**2 + 2. Let f(y) = 4*y**3 + 49*y**2 + 3. Let l(s) = -2*f(s) + 3*n(s). Factor l(x).\nAnswer: -2*x**2*(x - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25507655 to the power of 1\/2, to the nearest integer?\nAnswer: 5051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiiiiiiiiiyi. Give prob of picking 4 i.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9499323 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -36554204 (base 7) to base 10\nAnswer: -3274037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(625)*2)\/(sqrt(50)\/(sqrt(10) - sqrt(90))) - 2*-1*sqrt(405)*6)**2.\nAnswer: 38720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -381 + -46a3?\nAnswer: -4a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z**2 - 14*z + 137. Is 15 a factor of v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004226 rounded to five dps?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1 (b) 4\/25 (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 2857372 and 8384?\nAnswer: 45717952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -142903*i**4 + 3*i**2 + 2481389*i.\nAnswer: -1714836*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, m: 4, k: 1}. What is prob of picking 1 k and 1 m?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 719 = -71. Suppose 4*l = 6*s + 1274, 32*l - 36*l - 245 = s. Is k > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*s = -4 - 21, -2*s - 6 = 4*k. Solve 3*v - 4*h = 12 - k, -5*h = 4*v - 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104302 divided by 431\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22589977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0030859 rounded to 5 dps?\nAnswer: 0.00309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/8)*q*q)\/q)\/(q**2\/q)*(q\/(q\/q**(-10)*q))**(3\/25) assuming q is positive.\nAnswer: q**(-189\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -104730*u + 1. Suppose 0*v - 5*v + 5 = 0. Let t be m(v). Let g = 4729 + t. What is g rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -543*r**5*y + 4*r**4*y + 2*r**3*y + r**2 - 4*r - 39*y wrt r.\nAnswer: -32580*r**2*y + 96*r*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 589121 divided by 8\nAnswer: 589121\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2904.1407 months?\nAnswer: 2.42011725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(12\/1)*148820\/12756*9\/20.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 + j**2 + 19 + 21 + 8 - 3 + 38*j.\nAnswer: (j + 1)*(j + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6664 = 8*q - 22648. What is the remainder when q is divided by 994?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/8)\/(414\/4140*(-15)\/(-2)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 44 (b) -4\/5 (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3\/13 - 538*m**2\/13 - 2178*m\/13 - 126 = 0?\nAnswer: -3, -1, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggojgjjjdjkgldgljgg. What is prob of picking 1 g, 1 j, and 1 k?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + i = -9*x + 4, 2*x + 5 = -i. Let h be x - (114\/(-21))\/2. Which is the fourth smallest value? (a) -5 (b) -2\/11 (c) h (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + z**2 + 0*z**2)*(-8*z**3 - 8*z**3 - 2*z**3).\nAnswer: -54*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f + 133 = 94 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 2:19 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1714.794ms to seconds.\nAnswer: 1.714794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 392.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(324) - -2*(sqrt(324) + -2*sqrt(324)))\/(1*sqrt(1200)))\/(-4*(sqrt(36) + sqrt(9)) + sqrt(108)\/(-4*sqrt(12))))**2.\nAnswer: 12\/60025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 304 - 298. Calculate the remainder when 48 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*s + w - 0, -2*w = 3*s - 17. Suppose t - 4*i - 1409 = 0, -7*i - 12 = -s*i. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504589?\nAnswer: 283, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c + 24. Let n(h) = 6*h + 242 - 88 - 106. Let m(p) = -11*j(p) + 6*n(p). Let k(r) = -r. Give m(k(s)).\nAnswer: -3*s + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - (56 + -10 - (37 - 27))) + (1 - -110)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4519447*k**2*s**3 - 2*k**2*s**2 + 2*k*s**2 - k*s + 642363*s**2 wrt s?\nAnswer: -27116682*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 + -8 + 3 + -5. Let j be 2 - (-2 - 2157\/(-537)). Is f greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*((-2)\/(-4))\/(2\/4). Solve -j = -5*r + 6*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.5. Let c = 43 - 42. What is the third biggest value in 0.1, c, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -7*u**4\/4 + 214*u. Let x(p) = 23*p**2. Give x(f(l)).\nAnswer: 10143*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 55.682, 0.5, 4\/5, -1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -32 + 56 - 59 - 25*v. Let c(a) = -2*a - 3. What is -70*c(n) + 6*m(n)?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2.7. Suppose -2*c + 2*q - 16 = 2*c, c - 3*q = -14. Suppose 0 = s - 6*s - 15. What is the nearest to c in 0.5, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4599 and 1105293?\nAnswer: 3315879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 - 10 + 15)*(9*t - 2*t**3 + 3*t**2 - 9*t).\nAnswer: -142*t**3 + 213*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 294740 + b - 6*b - 294621 to g + z*b and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 - (-2354)\/24. Let n = t + -98. Let j be 14\/12 - (-3)\/(-6). Which is the closest to n? (a) 0.3 (b) -3\/8 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 3*(-9)\/27. Let j = 23 + -22. What is the closest to j in 0.1, 1\/5, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5653?\nAnswer: 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -405*w**4\/2 + 7873*w. Let a(t) = 3*t**2. Determine i(a(s)).\nAnswer: -21870*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-12))\/((-1677)\/688)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -619.41 - -8326\nAnswer: 7706.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 428*j - 430*j - 4. Let w(a) = -1. Let t(p) = -p + 3. Give j*t(m) - 5*w(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 115386, 230698, 345934, 461094, 576178?\n\"Answer: -38*a**2 + 115426*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 11*a - 7. Let w = -16 + 22. Suppose 19*u - 20*u + w = 0. Is g(u) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 114221569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2 (b) -310 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -39. Let i(r) = -r**3 - r**2 + r + 60. Is i(p) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 594 and 360.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53225989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -2, -24, -68, -140?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4168932 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/4 of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 1663749*s**2 - 3327501*s - 1663751.\nAnswer: (s - 1663751)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 2:46 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -30*v + 28*v. Let y = 223 + v. What is the greatest common divisor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llglmwllfsllgw. Give prob of picking 1 m and 1 l.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2373030 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1795875, -3591337, -5386799, -7182261?\n\"Answer: -1795462*f - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*h + 5 + 20 = 0, -o - 2*h + 7 = 0. Suppose 10 = o*u - 5. Suppose -u - 1 = -s. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*a - 163, 4*a - 8 = -4. Let z = 132 - w. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11\/(-66))\/(1\/428))\/(-51*116\/(-8874)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 u, and 1 a when three letters picked without replacement from unnolaaunafoan.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, a: 3, r: 3, f: 4, u: 4}. Give prob of picking 1 f and 1 g.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6*r + 120 = 0. Let q = r + 22. Is -1 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 1234.\nAnswer: 1234.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 5*k**2 + 6*k + 6. Suppose 5*m - 5 = 4*u, 49*u - 14 = -2*m + 53*u. Calculate f(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 2 + 3 + 2\/(-2). List the prime factors of -55*x\/(4 - 9).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2. Let l(j) = j**2 + 0 + 3 - 3. Calculate l(h(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534.387 kilograms in grams?\nAnswer: 1534387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 24*q - i + 50 = 0, -i = 0. Suppose w - q - 57 = 0. What is the remainder when w is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.227 - 0.327. Which is the closest to -1? (a) -1\/9 (b) v (c) -2\/11 (d) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/7351 + -22041\/29404. Which is the closest to 1\/3? (a) 2\/51 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74b5 (base 15) to base 5\nAnswer: 1242240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)\/(j**(3\/5)\/j))\/(j**(-1)*j**(-2\/17)*j))\/((j**2*j\/(j*j**2))\/(j*j\/(j**(-2\/5)\/j*j))**(-11\/2)) assuming j is positive.\nAnswer: j**(-1418\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w + 0*w - 11*w**2 - 5*w + (-w + 2*w - 15*w)*(-1 + 1 + w).\nAnswer: -25*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 124500792*j + 1937555901078408.\nAnswer: 2*(j + 31125198)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 140 + 115405?\nAnswer: 115545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1397*h + 6. Let d = 552 + -549. Is x(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1827*g + 21274. Determine i(13).\nAnswer: -2477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) -1\/18 (c) 135 (d) -5.2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 32 = 2*r + 3*r, -4 = 2*r - 5*s. Suppose 3 = i, i + 6 - 1 = 4*y. What is the remainder when (-15)\/4*(-2 - y) is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -49. Suppose v - 966 = -m*v. Suppose -214 = -3*y + v. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 131837*i + 22. Let u be c(-6). Round u to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2130555, 2130553, 2130549, 2130543, 2130535?\nAnswer: 2130525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-7))\/(-6*(-10)\/(-2520))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**4\/24 - 2*m**3\/3 - 15*m**2\/2 + 25. Let v(r) be the second derivative of g(r). What is the first derivative of v(j) wrt j?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -12*j - 16. Solve j*n - 1 + 5 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*h + 3*w - w, 5*w + 10 = 0. Suppose -2*f = -h*f - 6. Suppose f*d = 43 - 13. What is the smallest common multiple of 8 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4808*f + 0 + 0 + 4877*f.\nAnswer: 69*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 27. Let p = c + 60. Suppose -3*r + p = 2*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 29*q**7\/70 - 89*q**3\/6 - 15*q**2. Differentiate v(s) wrt s.\nAnswer: 348*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4021455 (base 6) to base 5\nAnswer: -22031421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19.6, -1, 5, -1\/5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 321 - 335. What is the common denominator of 62\/25 and (f\/15)\/((-96)\/84)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498937814.\nAnswer: 2, 7481, 33347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17353 - 8825 - 101*m - 8528.\nAnswer: -101*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -283\/5. Suppose 0 = 2*s - o + 5, 4*o - 6 = 2*o. What is the nearest to s in -5, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, k: 12}. Give prob of picking 1 k and 1 i.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**5\/5 - 2*b**3 + 11*b**2. What is the first derivative of u(r) wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0384565 to four decimal places.\nAnswer: -0.0385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 675 divide 127475252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/168)\/(-3 - 27\/(-12)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 108381 divided by 24\nAnswer: 36127\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 3 - 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 686\nAnswer: -2744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f**2 - 6*f. Let i(u) = -u**2 + u. Let h(x) = -6*i(x) - t(x). Let g(m) = -m**2 + 0*m**2 + 10*m + 0*m + 2*m. Give h(g(o)).\nAnswer: o**4 - 24*o**3 + 144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524680576.\nAnswer: 2, 7, 585581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/173 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(80)\/sqrt(2) - (sqrt(240)\/sqrt(6)*-4 - sqrt(40)))\/((sqrt(1936)*2 + sqrt(1936))\/(sqrt(162) - sqrt(18))).\nAnswer: 28*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 53 + h**2 + h - 6*h**2 + 2*h**3 + 6*h**2 - 62 - 3*h. Calculate o(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 42 (b) -47 (c) -7 (d) -30 (e) 0 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/9)\/(6*9\/(-162))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 5*m - 76. Let d be k(-12). Suppose -108 = -d*a - 20. What is the remainder when a is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10\/3 (b) -129 (c) -4 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(5 - 2*k - 5)*(-58 - 34*k + 58 - 2*k + k + 0*k + 4 - 42*k - 4 - 4 + k + 4 + 2*k - 3*k + 3*k + (0 - 3 + 2)*(k + 2*k - 2*k)).\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22032 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 5*r - 2, r = -d - d + 2. Let m(j) be the second derivative of -1\/12*j**4 + 0 + 0*j**3 - 1\/2*j**d + 2*j. What is the derivative of m(y) wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 9*q**2 + 7*q + 15. Let s be 3\/(3\/(-2)) + -5. Let h be d(s). Calculate the highest common divisor of 32 and h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136302398 a multiple of 1761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/((-2)\/12). Suppose -j + 2*j - i = -3*h, 0 = h + j - 3. Suppose 5*g + 24 = a, -h*a - 4*g + 24 = a. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 7*h - 12. Let b be (-34 - 2)\/(h\/(-3500000)). Suppose 2*c = 5*c + b. Round c to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*j + 225*j - 149*j - 46*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -82, -89, -98, -109?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7*f**4 + 0)*(-2 + 1 + 3 + 2*f).\nAnswer: 14*f**5 + 14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -7)*5\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88.5 + -25. Let b = g + -60. Round b to one dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 3:12 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -573 + 569 - (-39 - 1) - 15?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3833877?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 2*u + 50. Calculate the remainder when 1048 is divided by m(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0488926581 rounded to 5 decimal places?\nAnswer: -0.04889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-13)*b**(3\/7))\/(b\/((b\/((b\/(b**(-9)*b*b))\/b))\/b)*b**4\/b))**(-7) assuming b is positive.\nAnswer: b**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -684 - 22c?\nAnswer: -8b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 2:19 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12595722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjvjjjvjvv. Give prob of sequence jjj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10)\/(y*((y*y\/(y\/y**(-3\/4)*y)*y)\/y)\/y))**(-20)*(y\/(y*(y\/(y\/(y\/((y\/(y\/((y**(2\/23)*y)\/y))*y*y)\/y))))\/y)*y\/(y*y**7*y)*y)**4 assuming y is positive.\nAnswer: y**(3711\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 12. Suppose 2*i = 3*l - 6*l - 28, 3*l - 2*i = -8. What is f(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1029192991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.480148kg to nanograms.\nAnswer: 4480148000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*o + 12 = 1, 2*g + 10 = -4*o. Let m be (g\/3)\/(1\/(-6)). Solve 3 = m*u + u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 2)*(-2*n + 2*n + n) - 4*n + 4*n + 4*n)*(-5*n + 2*n + 2*n) - 2*n - n**2 + 2*n.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + 0.039.\nAnswer: -71.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 4 + 17 - (-15 - 78)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/4)\/(100\/150))\/(-1)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 101 + 15. What is the remainder when a is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-10) - (-185)\/1110.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppphphhpp. Give prob of picking 4 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(4\/(-16)*1). Let a(z) = -z**3 + z**2 - z - 1. Let c(o) = -4*o - 3 + 3*o**2 - 6*o**3 + 4*o**2 - 2*o**2. Determine s*a(w) - c(w).\nAnswer: 2*w**3 - w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.1, -92, 3\/4, -21?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 20\/3. Let q = 1 - -4. Which is the nearest to s? (a) -0.5 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 66, 233, 520, 939, 1502, 2221, 3108?\n\"Answer: 2*n**3 + 48*n**2 + 9*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1627\/36 - -565\/12. Find the common denominator of a and (-2)\/(-3)*(-83)\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j\/j**(6\/7))**5 assuming j is positive.\nAnswer: j**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68.3 - -65. Let r = 106.3 + -119.6. Let m = b - r. Sort 0.3, -1\/6, m in ascending order.\nAnswer: -1\/6, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**3 + 26*d**2 + 35*d + 8. Let w(g) = g**2 - g. Let m(o) = 3*l(o) + 6*w(o). Let m(f) = 0. What is f?\nAnswer: -8, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6990*h**3*l**3 - h**3*l - 872*h**2*l**2 wrt l?\nAnswer: 41940*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48760223 to the nearest integer?\nAnswer: 6983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 2*o - 5*p, -p + 5*p - 164 = 4*o. Let h = o + 41. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 5724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 4*r**3 - 4*r**3 + 0*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -i - 4*v, -2*i = 3*i + 2*v - 115. Calculate the greatest common divisor of 75 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + b + 2. Let k be z(0). Suppose n + k*h = 257, 5*h - 415 = -n - 149. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10\/3, -3, -3\/2, -5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 888 or -13653?\nAnswer: -13653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qoqq when four letters picked without replacement from mmqqqqqmmoqqmqomqmm.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**3\/3 - 5*o**2\/2 - 5*o - 3. Let c be h(-5). Let z = -3 - c. Is 3 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*p + 390 = 0, p = 4*u - 3 - 383. Suppose 2*b - u = -a + 42, -a = b - 139. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 5:20 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (4 + -4))*4\/8. Let t(p) = 18*p. Calculate t(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(16\/(-4)))\/(1\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34945 or -34947?\nAnswer: -34945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 53 = 2*t - 20*o, 0 = -5*o + 25. Which is the nearest to 2\/13? (a) -0.4 (b) t (c) -2 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5\/6, -2\/11, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 49*j = -48*j + 25, 0 = -2*u + j + 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 162077761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3274?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**3 + 793322*z**2\/5 - 4045432*z\/5 + 79322 = 0. Calculate z.\nAnswer: 1\/10, 5, 39661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21530 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34542?\nAnswer: 2, 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9574726 - 1612726. What is x rounded to the nearest one hundred thousand?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2816*u**3 - 75*u**2 + 4?\nAnswer: -16896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 101, 420, 967, 1748, 2769, 4036, 5555?\n\"Answer: m**3 + 108*m**2 - 12*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20022 (base 3) to base 16.\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 9*q + 4. Let b be i(9). Suppose 6*o = o. Suppose -5*w + 2*z + 139 = -b*w, -z + 2 = o. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*z**3 - 30*z**2 - 3266*z**4 + 3*z**5 + 3278*z**4 - 16*z**3 + 9*z**3.\nAnswer: 3*z**2*(z - 2)*(z + 1)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 1:41 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21444*c**3 + 11319*c**3 + 9954*c**3.\nAnswer: -171*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 468496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3655*l + 4*o + 64 = 3650*l - 83, 3*l + 0*l + 16*o + 537 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/(-98) - (-496)\/14. Suppose 2*k + 3*k = a. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-15\/2)*p*p)\/p**22)\/(p*p**(-5))**(-5\/6))**34 assuming p is positive.\nAnswer: p**(-3145\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 8 (b) 59 (c) 0.5 (d) 2\/5 (e) -4\/81 (f) 5 (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -1 - (-5100)\/(-765)*(-75)\/(-44)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + 7 + 1422\/(-198) + (-10375)\/(-11) is divided by 71?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 9 - 21 = 0. What are the prime factors of n\/(-5) - 11277\/(-45)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 - 3*k**2 + 2*k**4 - 3*k - 7*k - 6*k**4 - 2 as u*k**4 + i*k + n*k**2 + y + g*k**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 12844?\nAnswer: 64220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66441811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*r + 89. Suppose 2*b + 38 = r. Solve t + b*t - 3 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 0.052591\nAnswer: -0.047409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/18)\/((-685)\/289755)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + o**2 + 3*o + 799. Let v be z(0). Let n = v + -342. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 113, 236, 359, 482?\n\"Answer: 123*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -161, -117, -1, 223, 591, 1139, 1903, 2919?\n\"Answer: 6*d**3 + 2*d - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -357, -699, -1041, -1383, -1725?\n\"Answer: -342*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141917*s**4 + 196711*s.\nAnswer: -1703004*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 55*d**2 + 2*d + 2. Let h be k(2). Let n = -68 + h. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c - 4?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4904319363281 take away -0.12?\nAnswer: 4904319363281.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -814 + 844. Calculate the greatest common factor of 750 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 254143125 + -4?\nAnswer: 254143121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1088) + -1 + -5)**2 - ((-5 + sqrt(1088)*2)**2 + sqrt(1088)) - (sqrt(1088) - (sqrt(1088) - (sqrt(1088) + -1))*2 - (sqrt(1088)*1 + 4))**2).\nAnswer: -3288 + 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b74 (base 13) in base 15?\nAnswer: -3c79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 85*p**2 + 22*p - 9. Let u(o) = 115*o**2 + 23*o - 8. Let i(s) = -3*u(s) + 4*v(s). Give i(6).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, b: 2, i: 2, f: 6, e: 1, g: 1}. Give prob of sequence cc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/7)\/(((q\/q**(2\/9))\/q*q)\/q*q*q)*(q*q**(1\/3))**(-1\/26) assuming q is positive.\nAnswer: q**(-1732\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19269*g*l*x**2 - 9*g*l*x + 2*g*l - 2*g*x + 5*g - 3*x wrt x?\nAnswer: 38538*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwwpc. Give prob of picking 1 q and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 848830 divided by -424415\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/(-2184) - 973\/39)\/1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11205 and 95.\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 312864 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 + -72. Calculate the greatest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6718\/7 - 73870\/77. Which is the nearest to j? (a) -1\/8 (b) 0 (c) 0.2 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*o - 4997 = 21*o + 15381 for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*y - 9 = 0, 4*o = 4*y - y + 12. Solve -o*f + 2*f = 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/3)\/((m*m**24*m*m)\/m) assuming m is positive.\nAnswer: m**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/5? (a) -1.3 (b) 2\/9 (c) -0.4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*d = 22*d + 7555 + 4925 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 13*w**2 + 2*w - 1. Is b(1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k - 1. What is i(-12)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9485 - 8275 = -30*a. Let o = -507 + a. Calculate the remainder when 255 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8) - (-4)\/112. Let h = -118 - -115. Put -2\/17, q, h in ascending order.\nAnswer: h, -2\/17, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2 + 18*a + 4. Calculate the remainder when 173 is divided by x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1640, -2199, -2878, -3737, -4836, -6235?\n\"Answer: -10*n**3 - 489*n - 1141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194.80612*-32.\nAnswer: 6233.79584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n + 19 = d, -4*d = 4. Let u = -1 + 4. Let m(p) = p**3 + p**2 - 1. Let z be m(0). Put n, u, z in increasing order.\nAnswer: z, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a. Let l(p) be the second derivative of -5*p**4\/6 - 502*p. Determine l(t(f)).\nAnswer: -250*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441697189 to the power of 1\/2, to the nearest integer?\nAnswer: 37970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w + 3. Let h(n) = 1. Let i(r) = -c(r) + 3*h(r). Let s(a) = -5*a + 5*a + a. Determine s(i(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgmgttjjg. Give prob of sequence gtm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018 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: b\"What is the cth term of 0, -31, -72, -129, -208, -315, -456, -637?\n\"Answer: -c**3 + c**2 - 27*c + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1762, 3519, 5264, 6991, 8694, 10367, 12004?\nAnswer: 13599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**5\/7 + 342*w**4\/7 - 5240*w**3\/7 + 18334*w**2\/7 + 37320*w\/7 + 13400\/7 = 0 for w.\nAnswer: -1, -1\/2, 10, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370849822?\nAnswer: 2, 7, 26489273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37470 + -11341. Is y a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v. Let l(n) = 100*n**2 - 15*n - 254. Let b(j) = -14*h(j) - 2*l(j). What is the first derivative of b(o) wrt o?\nAnswer: -400*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -34 (c) -1\/2 (d) -8 (e) 4\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 + 5*i**2 - 4*i**2)*(i + 0 + 0) + 28 - 18 + i**3 - 2*i**3 to the form s + x*i + b*i**3 + l*i**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 20. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-10))\/((-90)\/(-75)))\/1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 4*l**2 - l. Let j(i) = -i**2 - 3*i - 1. Let c be j(-3). Let z be (c - 0)\/((-2)\/6). Let g = 7 - z. What is m(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 7 + -5 - (-3 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 20.23835 millilitres?\nAnswer: 0.02023835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10546, 21108, 31670, 42232, 52794, 63356?\nAnswer: 73918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 374996\/64*1*1. Suppose 4474 = 2*k + 16188. Let c = b + k. Calculate the common denominator of 31\/6 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**6\/120 + j**5\/2 + 7*j**4\/8 + 47*j**3\/6 + 9*j**2 - 3. Is t(28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11661560*a = -11661343*a - 1736 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107*p + 407 + 137 - 85 + 183 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 19, 42, 75, 118, 171, 234?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*b + 7 = 0, l - 6*b = -4*b + 7. Let f = l + 5. Calculate the remainder when 23 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.060523*-7\nAnswer: -0.423661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 + 61. Let n be (576 - (4 + 1)) + l. Suppose n + 318 = 5*t. What are the prime factors of t?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 75*o**2 - 5*o + 75.\nAnswer: 5*(o - 15)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t - 2*t - 3*t. Suppose 3*v - 4*u = 576, -4*u + 796 = -0*v + 4*v. Let d(g) = v*g**2 + 198*g**2 - 400*g**2. Give a(d(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**6*i*i)\/i*i\/((i*i*i**(-3\/19))\/i))\/(i*i**(-18))**40)**(3\/2) assuming i is positive.\nAnswer: i**(19584\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Suppose 0 = -2*q - 9 + 3. Let m be (q - -4) + 1 - -1. Solve -r = m*p + 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -5*z**3\/3 + 2*z**2 - 4*z - 69. Let s(q) = -6*q**2 + 5*q - 5. Calculate 4*s(w) - 5*u(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 67.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 1:48 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 12854*f + 192795. Give i(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 13 - 47 + 16*d + 32. Let o(s) = 2*s**2. Calculate y(o(p)).\nAnswer: 32*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -12. Let t be ((-1)\/2)\/(2\/(-4)). Suppose -2*z - 6 = -w - t, -3*w + 5*z = -12. Which is the smallest value? (a) w (b) -0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 12 = 2*r + 3*l, -l + 4 = 0. Let n(o) = 103*o - 73*o - r + 2. Is 28 a factor of n(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32284 - -0.0929.\nAnswer: -32283.9071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n + 5. Let f(b) = -4859*b**2 - 310*b + 40. Let m(d) = f(d) - 8*o(d). Find the second derivative of m(w) wrt w.\nAnswer: -9718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1246.6539 times 11\nAnswer: -13713.1929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 4*m**2 + m - 1. Let i(d) = -4*d**3 + 276*d**2 + d + 1. What is -b(t) + i(t)?\nAnswer: -3*t**3 + 280*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (2 - 19) - 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 20 = -666. Suppose 0*t - 3*m = -t + p, 0 = -3*m + 6. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 v, and 1 n when four letters picked without replacement from ssssssvbbsvvsvvbsbnb.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -4.5. Let g = 80 - 79.8. Sort k, g, 5 in ascending order.\nAnswer: k, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0, -3.1.\nAnswer: -3.1, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 27622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9.6 - -12032804557\nAnswer: 12032804566.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46530575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-79)\/2356*(351\/135 + 8\/(-5)) and 89\/1240?\nAnswer: 23560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 94*v**2 - 16*v - 2006. Determine z(-94).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 2) in base 16?\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, -89, 4\/3, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1109906816 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -289*d - 5*d**2 - 143*d**2 + 4*d**2 - 158*d**2 - 109*d**2 wrt d.\nAnswer: -822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2 = 3*f, 0 = f + 4*f - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0064833 to five dps.\nAnswer: -0.00648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61853*m + 122992*m + 2 - 61765*m to the form x + v*m and give v.\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 4*v + 2. Let b be v*((-1)\/(-1) - 8). Round b to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)\/g)\/g**17)\/(g**(-3\/2))**(-20) assuming g is positive.\nAnswer: g**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6004 in -3, 0.5, 2, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1740?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5763696700 rounded to the nearest 1000000?\nAnswer: -5764000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -352 - -12?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and -2.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4457*q + 164899. Calculate c(37).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6239191?\nAnswer: 7, 59, 15107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4902804l in millilitres?\nAnswer: 490.2804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + (24 - (69 - 17)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-34)\/y**(-15))\/(y*y**(-8\/9))**(-2))**(-3\/5) assuming y is positive.\nAnswer: y**(169\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 14. Let f = 12 - 2. Solve 0*r + f = s*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.053 - 0.08.\nAnswer: -0.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 311.94 to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14178700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 1053*q**3 + q + 1028*q**3 - 801 + 801.\nAnswer: -25*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -7, -2 in decreasing order.\nAnswer: 3, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 3, c: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**3 + 3864*g**2 + 23308*g + 19440 = 0.\nAnswer: -5, -1, 972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 4\/((-4)\/1)*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/15*-5 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 7*o + 5. Suppose 0 = -u + 8*u + 42. Let j be y(u). Let t = 1.1 + -1. Which is the closest to t? (a) j (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 152, -2, 24, 1\/5?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) -1.9 (c) 5 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18\/73 + 3833\/146. Find the common denominator of 5\/53 and y.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 0 + 5\/4*f**4 + 22*f + 0*f**3 + 0*f**2. Let g(s) = -7*s**2. Determine g(m(j)).\nAnswer: -1575*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -6472720?\nAnswer: -6472727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4534965503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*f - 43*f - 31668 = 0. What is the second biggest value in -0.1, -1\/6, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -8)*255\/9*(-2)\/(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 12 = 222*n - 222*n - 2*j, 5*n - 40 = 5*j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8103.935 rounded to the nearest 10?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/4 - 917175*f\/4 + 229294 = 0. What is f?\nAnswer: -917176, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 3. What is the units digit of 23 - (-2)\/t*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5744.8 * -0.2.\nAnswer: -1148.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**8*m*m*m*m**(-2\/19)*m*m**4\/m**(-2)*((m**(-1\/2)*m*m)\/m**(-15))**(-6\/13) assuming m is positive.\nAnswer: m**(2539\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16909 and 5143.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 6*d + 11. Let z be b(-7). Suppose r = -z*i - 4 + 21, 4*i = -4*r + 20. Solve -2*k = 5*u + 26, -i*k - u = 2*u + 24 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1641445 is divided by 309.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17800896 divided by 667\nAnswer: 26688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 114299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(264\/(-30))*6\/15?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 30153 = 10*h. Suppose -4*l = 4*d - 2752, -4*d - 774 - h = -3*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 28*n**2. Suppose 0 = 2*d - 851 - 409. Let i(x) = 5 - 5 - d*x**2 + 635*x**2. Determine a(i(y)).\nAnswer: 700*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/((-72)\/(-120)*-5)*(50\/(-52) - -1).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 258514?\nAnswer: 4394738","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(51)\/sqrt(3) + -2*sqrt(17) + 2 - (5*-3*sqrt(136))\/sqrt(8).\nAnswer: 2 + 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1402 - -1397. What is the fourth smallest value in -2, v, 0, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 696.73 + -696.22987. Let p = c - 0.5. Round p to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24917986073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*l - 8. Let j be 2\/(-5*l\/(-100)). Solve i = -4*q + 10 + 2, -16 = q + j*i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c - 39. Calculate b(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 7*l + 19. Let t be 0\/((-2 + -1)*-1). Suppose t = -p + 3, 5*m + 52 = -p + 5*p. List the prime factors of c(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 - 8 - 12*o**2 - o - 2*o**3 + 3*o**3. Let l be t(-12). Solve -4 - 4 = l*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 4*q**2. Let t be a(4). Suppose -2*o + t*o - 10 = 0. Let k(p) = -5*p - 7. Let u(h) = -h - 1. Let w(f) = k(f) - 6*u(f). Determine w(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1\/2))\/h)**(-18\/5))**(-6)*(h**(-3\/8)\/(h**3\/h))\/(h**0*h)**20 assuming h is positive.\nAnswer: h**(-1327\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -267, -408, -547, -684, -819, -952?\nAnswer: -1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2404\/8*(-3 - (0 + -1)). Let p = -420 - y. List the prime factors of p.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*m + 0 + 23*m + 7*m - 12.\nAnswer: -14*m - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 761*j - 3058*j + 768*j + 761*j + 3 + 760*j + 1.\nAnswer: -8*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + v - 3448 = -3429, -7 = 5*a + 2*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 60 = 5*q. Let g(v) be the first derivative of 3*v - 27\/4*v**q - 1 + 15*v**3 - 21\/2*v**2. Factor g(k).\nAnswer: -3*(k - 1)*(3*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**2 - 24*i - 7. Let h be g(-6). Which is the biggest value? (a) -5 (b) h (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.72918km to micrometers.\nAnswer: 74729180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128 - 126. What is the hundreds digit of (u\/6)\/((30\/(-7542))\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 = 38*g + 61 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/25 of a second?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 0. Let v be 9 + 2 + z\/1. Let a = v + -2. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -221 (b) 107.8 (c) 0 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 4*k + 172 + 112, 5*s + 5*k = 690. What is the remainder when 793 is divided by s?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -25*j**3 + 4*j**2 + 2*j + 3. Let i(g) = 73*g**3 - 13*g**2 - 7*g - 10. Let w(h) = -3*i(h) - 10*z(h). Let r be (-6)\/(-4)*(-8)\/(-12). Determine w(r).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*a + 6, 5*a - 2 = 8. Suppose 4 = -2*s - 3*g + 16, 5*s - 2*g + 8 = c. Suppose 5*m + 6 = -3*d + 52, s = 4*d - m - 69. Solve 2 - d = -5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 31 = -12*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-10)\/((y**8\/y*y*y)\/y)*y**(1\/27)\/(y**(2\/7)*y) assuming y is positive.\nAnswer: y**(-3638\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/7, 3\/8, 83\/5, -2\/5, 5 in decreasing order.\nAnswer: 83\/5, 5, 17\/7, 3\/8, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + 6*n)*(4*n - n - 2*n + (n + n + 0*n)*(1 + 0 + 1) - n + n - n + 0 + n + 0 + 2*n + 0*n - n + 0*n + 3*n + n)*(8 + 46 - 291).\nAnswer: -7110*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35\/4 - -9. Let n be -2*1 + (-28)\/(-15). What is the second biggest value in o, n, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.0244.\nAnswer: 0.00244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + ((-6)\/(-27) - 32\/(-18)). Let s(q) = -q**3 + 4*q. Let w be s(r). What is the biggest value in 0.4, w, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ab1 (base 16) to base 4\nAnswer: 222301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/10*((-710)\/20 + 8). Let l be (7 + (-209)\/w)\/((-1)\/(-3)). Solve -l*q - 4 = -2*z, 5*z + 0*z + 5*q + 40 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from ktrktrozkzkoo?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/20)\/((-1)\/90). What is the highest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 37239983?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 284 + 12689?\nAnswer: 1290d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-18)*(-3)\/(-2). Let m be u - (0\/8 + 1 + -2). Suppose 3*r + 4*n - 2 = 0, -4*n + m = 6. Solve 2*j - o = 7, -r*j + o = 6*o - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90514283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22431 (base 5) to base 3.\nAnswer: -2012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31599.\nAnswer: 3, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858aa (base 12) to base 8.\nAnswer: 527302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195022277 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: Simplify ((s**(-3\/7)\/s*s)\/(s*(s*(s*s**(-2\/15))\/s)\/s*s))\/(s**(-1\/4)\/s)**(3\/8) assuming s is positive.\nAnswer: s**(-6137\/3360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11000000001110010 (base 2) to base 9\nAnswer: 160003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3345*o - 109*o**2 - 45*o**2 + 6688*o - 3343*o.\nAnswer: -154*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 21 (c) 3 (d) -13179 (e) -3 (f) -0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 9*t**4\/2 + 4*t**3 + t**2 - 5. Solve v(l) = 0 for l.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -169.2 + 361.1. Let h = v + -191. What is the second smallest value in 3, -3, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 3 = -478*y + 475*y, 2 = -5*v - 4*y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 1. Let g = 239\/5 - 48. Let k be (3 - (-136)\/(-36)) + (-1)\/(-1). What is the closest to g in k, i, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**3 + 25*s**2 + 12*s + 9. What is v(-6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 1. Let t be o(5). Let a be (-10)\/3*(t + 5). Let d = a - 9. Calculate the remainder when 20 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518127 to the power of 1\/2, to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 88825 (base 9) to base 6\nAnswer: 1133035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-54))\/(12\/(-54)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*p - 235. What are the prime factors of p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6*3\/(-2). Let c = 983 + -4914\/5. What is the nearest to 1\/2 in c, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -f + 25. Suppose -f*i = -19 - 6. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*f = 25 + 7, 0 = 2*f - 8. Suppose -m = -c*m. Suppose m*u = -5*u + 5, -5*h - 5*u + 70 = 0. Solve 3*d = -v - h, 4*v - 2*d + d = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-14 - (-23 - -7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40899014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 8) to base 11\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/40*(-12)\/(-15) - 452396\/(-35). Is m bigger than 12926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 0*g + 2*g + 255, 0 = 4*g. Let f be (-1367)\/(-5) + (-34)\/i. Suppose -2*q - 2*q = h - 42, 4*h - 5*q = f. Is 31 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*c = -2*p + 102, -5*p = 2*c + 150. Is (-2018)\/4*(p - -26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = r - 44. Let o = -23.7 + 27.7. Which is the fourth biggest value? (a) -0.2 (b) r (c) 1\/4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2512153.62 rounded to the nearest one thousand?\nAnswer: -2512000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66547482, 133094963, 199642444, 266189925?\n\"Answer: 66547481*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aql when three letters picked without replacement from {l: 3, a: 3, q: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -84*z + 21. Let j be q(-10). Let d = j + -494. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -698 + 207 + 164 + 842*u + 162 + 165.\nAnswer: 842*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3540 minus 53173.7?\nAnswer: -49633.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: What is 24061000 (base 7) in base 9?\nAnswer: 4010127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -50*p - 682. What is the remainder when 2311 is divided by t(-15)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466336161 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 189*w**2 + 198.\nAnswer: 378*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 1, k: 3, i: 1, f: 1}. What is prob of sequence kzi?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*g + 4*b, 2*b = -0*b - 2. Suppose g*a - 573 = 872. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 4, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaxxaxfxxx. What is prob of sequence ax?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdedddc. What is prob of picking 2 c and 2 d?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m**3 - 45*m**2 + 124*m + 19. Give s(3).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 104300 = 4*v, -2*p + 83404 = 2*p + 4*v. Does 79 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.13 + 673.13. Which is bigger: 0.7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7526*o - 210*o**2 + 7526*o)*(0 - 1 + 2)*(1 + 1 + 0).\nAnswer: -420*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 2*u - 2*u)*(-2 - 1 + 2) - u + 2*u + u - 8698 + 8698 - 518*u as d + k*u and give k.\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2))**(-28)*(z**(1\/8))**(-49) assuming z is positive.\nAnswer: z**(399\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.29 and -0.2?\nAnswer: 1.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39788 - 23550. What are the prime factors of q?\nAnswer: 2, 23, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o = 4. What is the closest to o in 1, -3\/5, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -87*v + 89*v - 40151, v + 4*m = 20086. List the prime factors of v.\nAnswer: 2, 3, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 490 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i**(1\/6)))\/i)\/i)**(-28)\/((i*i**(-3\/8))\/(i*i**(2\/25))))**(3\/14) assuming i is positive.\nAnswer: i**(5239\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342803*w - 342754*w = -490 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00284 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 8)*(-1)\/(-3). Suppose c - 18 = -c. Let x = c + -4. Solve -t*j = -6*j - 5*d - 20, d = x*j - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2527312 to four dps.\nAnswer: 0.2527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a + 16. Suppose -1 = x + 2. Let f = -13 - -23. Calculate the smallest common multiple of f and y(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278282364.\nAnswer: 2, 3, 23190197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5*6 - -4) + -2*1. Let z = 5 - 7. Let w = z - o. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3138*k**3 + 21453*k**2 - 21453*k**2.\nAnswer: 3138*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -161*j**4 + 74*j**4 + 74*j**4 + (-2*j + 0*j + j)*(-j**3 + 2*j**3 - 2*j**3) + j**4 - j + j.\nAnswer: -11*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 4*n. Let d(g) = -2*g**2 - 9*g. Let t(z) = -4*d(z) + 9*l(z). Let s(q) be the first derivative of -7*q**3\/3 + 11*q - 12172. Determine t(s(f)).\nAnswer: -49*f**4 + 154*f**2 - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 180173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - ((-29 + 5 - -11) + -16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35704, -71417, -107134, -142855, -178580, -214309?\n\"Answer: -2*t**2 - 35707*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -517\/342 - -2\/171. Which is bigger: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -231, -228, -223, -216, -207, -196, -183?\n\"Answer: c**2 - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -3*h + 8*p, 0 = 5*h + 5*p + 579 - 549 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 334587?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3389*n + 670. Is v(-2) a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m - 134. What is d(27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 15*j = -11*j + 719424. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5 + u - 8*u + 0 - u**2. Let i(p) = -p**3 + 13*p**2 - 17*p + 55. Let z be i(12). Determine t(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (1 + 0)*2. Let u = -99 + 33. Let j = 68 + u. Solve j*k - 8 = c*n, 3*n - k = -4 - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u + u - 4*u + (-2 + 1 + 3)*(1 - 1 - u) - 2*u - 1 + 1 - 2*u - 2*u + 5*u + 2 - 2*u - 2 + u + 2 - 2 in the form h*u + w and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 1:52 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13852*b - 3*h = 13854*b - 16, 2*h - 6 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 7*a**5\/20 + 7*a**3\/6 + 2*a. What is the second derivative of l(w) wrt w?\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -302 - -306. Suppose d*q + t = -402 + 3971, -3*q + 2675 = -t. List the prime factors of q.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 355 = -20*x, 33*x = 30*x - 51 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 186\/61 bigger than -1987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -28. Let i = 11.2 + x. Let l = i + 7.9. Which is the smallest value? (a) -0.3 (b) 1\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3162 is divided by 525?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 10*i + 116. Let c be s(-12). Put 0, c, 14, 2 in increasing order.\nAnswer: c, 0, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2 + 140*b**2 - 476*b**2 + 343*b**2 + b**3 - 5*b. What is u(-8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 + 170*m\/3 + 1288\/3.\nAnswer: -2*(m - 92)*(m + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061427163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 11911.\nAnswer: -7\/11911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2576 and 280?\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 76*v**2 - 142*v - 448. Let y be n(74). Which is the third biggest value? (a) y (b) -16 (c) -0.2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7)*315\/108. Let s = 0 - -5. Suppose 5 + 5 = s*d. Is d >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005483484 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.004, 24, 5406.\nAnswer: 0.004, 24, 5406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39837883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3*(8 - 43\/5))\/((-1)\/(-5)). Let m(h) = 5*h**2 - 1. Let z be m(1). Solve -z*p + 5 = 3*o - y, 14 = 4*o + 3*p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453152\/9 + 149782\/3*l**2 + 2\/9*l**4 + 904400\/9*l - 1900\/9*l**3 = 0 for l.\nAnswer: -1, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61.138 - -61.338. Let v = 10 + -7. Let h = 0.2 + -0.3. Put n, h, -4, v in descending order.\nAnswer: v, n, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**5 + 6*c**4 - 4*c**2. Let w(b) = -b**3 - b**2. Let f(y) = y**3 - 10*y**2 - 2*y + 16. Let d be f(10). Let m(x) = d*w(x) + z(x). Factor m(h).\nAnswer: 2*h**3*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/3))**(-2\/9)\/(f*f\/(f\/f**1))**23 assuming f is positive.\nAnswer: f**(-1252\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2 - 493599*x + 1480824 = 0.\nAnswer: -164536, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -5*y - 3*u + 75, -u = 2*y - 11. Let m(g) = g**2 - 5*g - 11. Give m(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 18 = -2*t. Let n(q) = 5*q**4 - 22. Let z(s) = 1. Let k(f) = t*z(f) - n(f). What is the first derivative of k(y) wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*w - 1081024 = 11*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2*u - 5*u + (-6*u + 7*u - 4*u)*(1 + 2 - 2))*(146*u + 163 - 163).\nAnswer: -730*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50.08 - -47. Let d = -0.08 - r. Let h = -2.99999968 + d. Round h to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2*(30 + -31)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -440106.2, 0.4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222 and 47434.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(75) + 1 - sqrt(75))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 3:44 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1046 - 1030. Suppose w = -4*w + 60. Solve h*y + 20 = w*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**4\/7 + 984*o**3\/7 + 79698*o**2\/7 - 162360*o\/7 + 81675\/7 = 0. What is o?\nAnswer: -165, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 12, 0.3, 53, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i = 23*i + 25. Let x = 162 + -37. Suppose -i*z + 5*l = -x, 3*z - 99 = -0*z - 5*l. What is the highest common divisor of z and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27619 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x**2 - 33 - 21*x**2 + 35*x**2.\nAnswer: -3*x**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131*c**2 + 35*c**2 - 68*c**2)*(6 + 6 - 4)*(3*c - 3*c - 2*c**2).\nAnswer: 2624*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -115*s - 2. Let t(b) = 3*b. Give t(i(d)).\nAnswer: -345*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.03 and 0.07815?\nAnswer: 0.7838445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 249828955 to the power of 1\/3, to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10083563 and 3315144.\nAnswer: 242005512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192862 is divided by 154.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -582*u. Let r(p) be the third derivative of -p**4\/12 - 349*p**2. Give r(v(i)).\nAnswer: 1164*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200)*2 + sqrt(12)*1*3)\/(sqrt(294) + sqrt(294) + 2*sqrt(294)*6).\nAnswer: 23*sqrt(2)\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.1474ug to tonnes.\nAnswer: 0.0000000000551474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 1:58 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**5 - 664*k**4 + 5360*k**3 - 10752*k**2 = 0.\nAnswer: -672, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**4\/4 - 2*y**3\/3 + y**2 + y - 1. Let x be c(-3). Solve -x*t = 5*l + 15, -l - 5 = 2*t - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28337\/2508 - 501\/44. What is the third biggest value in g, 0.4, 0.06, 2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8568 is divided by 1296.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(180) + 5*(sqrt(180) + -1*sqrt(180)) - sqrt(180)*3*5))**2.\nAnswer: 504*sqrt(5) + 35289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (-54)\/12 - (-9)\/2. Let g be (2 - 16\/6)*-6. Suppose 0 = a + g*k - 55, 8*k - 4*k - 20 = 0. Calculate the highest common factor of a and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176714577 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -212157912 - 0.4?\nAnswer: -212157912.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*l + 27131, 2*u + 2*u - 3*l = 108584. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 231320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsssxxssssxsss. Give prob of picking 1 s and 2 x.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1882 = -111*z + 217 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(84) - (sqrt(84) + 2*sqrt(84))))\/((sqrt(108) + sqrt(108)*1)\/sqrt(9)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + 1349*b = -371*b + 63270 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1032?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 330869 (base 13) to base 3\nAnswer: 2021000110112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 496?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 8*r - 10. Let k be (-26)\/6 - (13 + 111\/(-9)). Let q be g(k). Let 2\/7*a**q + 0*a**3 + 4\/7*a**2 - 4\/7*a**4 + 0 - 2\/7*a = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001055 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + i**2 - 6 + (-5*i + 6*i + i)*(-i + i - 2*i) + (-7*i + i + 3*i)*(i - 5*i + 2*i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120377 divided by -5.\nAnswer: 120377\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29351.18 decades?\nAnswer: 293511.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (15\/(-5))\/((-3)\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9650, -1, 708, 13.\nAnswer: -1, 13, 708, 9650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 42?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -53. Suppose j = m + 10. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 - 105. Let q be 3\/9 - (-32)\/o. Suppose q*g - 95 = 4*k - 5*k, 0 = -5*k - 20. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24 - 7194b1?\nAnswer: -71948a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8027 - -12334. What is the thousands digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2771 is divided by 692.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/87963780 and -197\/5100?\nAnswer: 439818900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4510910 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 102)\/(-5) - 1. Let d = l - 14. Suppose 2*u - 2*m = 510, u + d*m = 3*u - 507. Calculate the highest common divisor of u and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**4 + 3872*y**3 + 137902*y**2 + 134028*y = 0?\nAnswer: -34, -1, 0, 1971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33734256 and 600?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**4 + 37*j**2 - 3*j - 102. Let d(i) = -6*i**4 - 110*i**2 + 8*i + 309. Let l(w) = 3*d(w) + 8*f(w). What is the derivative of l(h) wrt h?\nAnswer: -8*h**3 - 68*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 - 8281?\nAnswer: -8020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 11:56 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*j + 17*j**3 - 13 + 13 + 75*j.\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4710005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 169 + -101. Let m = y + -56. Suppose a + 15 = 2*u + 16, 3*a - 2*u - 7 = 0. Solve -2*x + 6 + m = 3*d, -3*x = -a*d + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8513, 17054, 25603, 34160, 42725, 51298?\nAnswer: 59879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47676721\/268 - 177898. Find the common denominator of -51\/938 and d.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9631 is divided by 393?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 0 + 0 + (0 - 2 - 5)*(1 + 4 - 3)*(-3*l + 2*l + 4*l + (0 - 2 + 1)*(-3 - l + 3) + l - l - 2*l).\nAnswer: -26*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*a + 90, -2*n + 39 + 21 = -4*a. Let j = 10 - 5. Suppose -4*y = 4*g - n, 14 = 6*y - j*y + 4*g. Solve -y*r - 6 = -4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 - 2 = -4*t, 0 = 3*l + 3*t + 12. Suppose -16*d = -14*d - 4. Suppose -d*v = -v. Which is greater: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 w, and 1 c when four letters picked without replacement from {p: 4, c: 3, o: 3, w: 4, d: 2}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 (base 6) in base 10?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 2 - (-49 - -53)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*i + 2 = -203*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 145\/108 + -16\/27. Let y = -2552 + 71401\/28. Let b = y - -12\/7. What is the third biggest value in b, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k = -21 - 29 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5622, -5669, -5864, -6279, -6986, -8057, -9564, -11579?\nAnswer: -14174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-6))\/(1\/24). Let x = a - 4. Let b(k) = 49 - 49 + x*k**2. Let d(w) = -w**2. Give d(b(u)).\nAnswer: -64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 6 (b) -1\/3 (c) -2 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.241259cm?\nAnswer: 0.05241259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336446529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (150\/360)\/((-141)\/(-846))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -2230?\nAnswer: -2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 332*12*2\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 759?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*o - 9 = -12, 0 = 3*q - 4*o + 4. Solve -2*y + 1 = -4*y - 3*t, -4*y - 4*t + 4 = q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.4943248 rounded to one decimal place?\nAnswer: -121.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hq when two letters picked without replacement from {q: 1, j: 1, x: 1, h: 1, k: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 551, 555, 561, 569?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1016376927.\nAnswer: 3, 47, 7208347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -1103?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(-3))**(-16)*((p\/(p*p*p**(-1\/8)\/p*p)*p*p)\/(p\/p**(1\/3)))\/(p**0)**(-4) assuming p is positive.\nAnswer: p**(-1141\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k - 6. Let v(c) = -3*c + 1 + 4*c + 0*c. Let y be 1\/(-2) + 14\/(-4). Determine y*v(p) - n(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g**2 + 3. Let i be k(0). Suppose 3*h + 55 - 235 = 0. Suppose -i*a + 8*a = h. Calculate the remainder when 21 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 3*c**7\/7 - c**3\/3 - 1. Find the third derivative of v(y) wrt y.\nAnswer: 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b. Let t(x) = 79*x + 5548. Give -9*a(n) + t(n).\nAnswer: -2*n + 5548","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3))**(2\/39)\/((o*o**6)\/o*(o*o\/(o\/o**6*o))\/o) assuming o is positive.\nAnswer: o**(-1285\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 692511871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292 - 293 - (-5 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-9))\/((-316)\/474)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -801546, -1 in increasing order.\nAnswer: -801546, -65, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, y: 1, i: 1, w: 1, h: 5}. Give prob of picking 3 h.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 22251 and 22251 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 167 - 154. What is the greatest common factor of k and 403?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1900 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*60\/16)\/(3969\/(-378))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-16))\/(y*y\/(y*y*y\/(y*y\/(y*y**(-24))*y))))**15 assuming y is positive.\nAnswer: y**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1102132 (base 4) to base 12\nAnswer: 307a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23682? (a) -0.3 (b) -0.06 (c) 3 (d) -4 (e) 16 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*f - 36 = 0, 5*c + 3*f = 6*f + 49. Let m(b) = b**3 - 29*b**2 - 2*b + 69. Let i be m(29). Calculate the greatest common factor of c and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -52, 0, -0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12 + 6 - p + 2*p**2 - p**2. Let v = -7 + 7. What is the tens digit of l(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Let t(l) = l**3 - 4*l**2 - 5*l + 4. Let v be t(5). Suppose 13 - v = 3*p. Solve q + b*a - 8 = 0, p*q - 3*a = q - 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2500862?\nAnswer: 2, 7, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkcb when four letters picked without replacement from {b: 3, c: 9, k: 5, z: 2}.\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -218*s**4 + 145*s + 1 wrt s?\nAnswer: -2616*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 9, -10, -27?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/2)\/((-12)\/(-8)*-2). Solve -4*n - 7 = r - 0*n, b = 4*r - 2*n + 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 15*m - 25. Let o(b) = -8*b**2 - 46*b + 70. Let s(c) = -14*h(c) - 5*o(c). Factor s(u).\nAnswer: -2*u*(u - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8495759km in micrometers?\nAnswer: 849575900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 9, f: 3}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**20\/r)\/r**26*(r\/(r\/(r\/(r*r**(-5\/6)*r))))**(-2\/73) assuming r is positive.\nAnswer: r**(-1532\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3849 + 4648. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (2 + 9 - 5) + -1. Let y(j) be the first derivative of 2*j**3\/3 - 2*j**2 + 3*j - 1. What is y(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 77202.3630202 and 0.13.\nAnswer: 77202.4930202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-327)\/(-2) - (-1)\/(-2). Let r = 165 - z. What is the greatest common divisor of r and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 300*m. Let k be s(6). Suppose 44*c - 29*c = -k. Which is bigger: -118 or c?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5889 is divided by 196.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4*v**(-1\/9))\/(v**1*v*v)**(-19)*(v*v**(1\/3))**(-40)*(v**(-1)\/v)**41 assuming v is positive.\nAnswer: v**(-670\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313086 is divided by 51856.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (281881\/9242)\/(2\/4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 1\/6 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lljljjjjjlzljjjlzzl.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*m + 495, -289 = -m - n - 46. Let w = m - 246. Let h = 186 - 1491\/8. What is the closest to w in 1, h, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*f**3 + f**2 + 1 + 26*f**3 + 0*f + 0*f in the form z*f + i*f**2 + g + p*f**3 and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, a: 3, t: 4}. Give prob of sequence tt.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 79742 to the power of 1\/2, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 287 (b) 0.4 (c) 0.04 (d) -3 (e) 0.06 (f) -10 (g) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -96599 or -96596?\nAnswer: -96596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 a factor of 124643694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 323\/6 or 93207?\nAnswer: 323\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3844923 and 1686.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 61*l**5\/4 + 654*l**2. Let n(a) = -a**2. What is u(n(b))?\nAnswer: 915*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -0.2. Let d = r - 0.1. Suppose 5*p - 26*p - 105 = 0. Which is the nearest to d? (a) p (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1692414 < -1692407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k + 4. Let t(n) = n + 1. Let p(s) = 11*t(s) - 2*w(s). Let b(r) = 1. Let g = -15 + 16. Suppose 5*i + g = 4*i. Calculate i*p(d) + 3*b(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 12 = 0, 4*g - 2*z = -3*z - 16. Let x(n) = -4*n**3 + 7*n + 4. Let i be x(g). What is the highest common divisor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 3*l**2\/2 + l + 3. What is the units digit of v(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25720704 to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 7 = -10*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -622*v**3 + 54*v**2 + 6*v - 15. Let k(t) = 622*t**3 - 53*t**2 - 5*t + 12. Let h(z) = 5*k(z) + 4*n(z). What is the third derivative of h(o) wrt o?\nAnswer: 3732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3.2. Let y = 10009 - 10012. What is the nearest to d in -0.09, y, -1\/5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 368.45 to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 767 = -2049. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 20*p + 14 + 12 + 14 - 36. Let b be g(6). Let t = -120 + b. Calculate the remainder when 10 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77310529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -10. Let q be 22\/t + 15\/25. Is q at least as big as -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/22*-6*(-3)\/(-21)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1429 by -11.\nAnswer: 1429\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5612 is divided by 638.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + w - 4 = 0, 2*i - 3*w + 4*w - 9 = 0. Suppose 0 = 3*o + 4*n - 5*n - 56, 2*o - 54 = 4*n. Sort -1, i, o.\nAnswer: -1, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/209 and 56\/73929.\nAnswer: 813219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -6*n - 4*s + 20, 5*s = 10. Suppose 4*o + 4*d - 10 = 2*d, -5*d + 7 = n*o. Suppose -o*f = 2*f - 725. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028791457 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 + -8.4. Let m = n - -15. Let u be (-45)\/(-54) + 2\/(-2). Put m, u, 0.3 in descending order.\nAnswer: m, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106068 bigger than 6364013\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 1:41 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f**2. Let y be 6\/(-1 - -4) - -4. Let u(k) = -4*k**3 - 6*k**3 + y*k**2 + 8*k**3 + k**3. Determine 6*b(z) - 5*u(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnr when three letters picked without replacement from ngrggrrnggggr.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 x, 1 a, and 1 m when four letters picked without replacement from {x: 2, a: 5, m: 3, i: 3}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*g = -131, -2*p = 14*g - 18*g - 38. Let c(s) = 3*s**3 - 58*s**2 - 17*s - 2. Is c(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**3\/5 + 4*r**2\/5 + 16*r\/5 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -3. Let u = 10 - i. Let h = u + 14. Put -5, h, -1\/5 in descending order.\nAnswer: h, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 2\/3, -3, 4\/183, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -3. Let c be (-5)\/(5\/(-39))*1. Calculate the greatest common divisor of k and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 2:03 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -228 divided by -4135\nAnswer: 228\/4135","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*o - 7. Let k(j) = 2 + 0 + 2*j + 2 - 3 + 6100001*j**o. Let u be k(-1). Round u to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -100 or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1376 and 430.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.67 - -0.6700017. What is k rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 844*f - 2955*f + 353*f - 3340*f.\nAnswer: -5098*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thd when three letters picked without replacement from dttdddhdt.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -7, -27.\nAnswer: -27, -7, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9746 = 2*x + y, 6*x = 7*x + 3*y - 4878. Let c be (-87)\/x*(2 + -1)*-2. Let g(a) = a - 8. Let k be g(8). Is c bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*c - 250 = -5*c + 11*c. Solve 5*p - 14*u + c*u = -41, 4*p + u = -16 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50436 and 113481?\nAnswer: 453924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 328562 divided by -46?\nAnswer: -164281\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88970, 356000, 801050, 1424120?\nAnswer: 2225210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y - s = 21*y, 5*y + 2*s = 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -44, 0, 0.2, 1?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 7*b + 12. Let k be j(-8). Let h be (6\/4)\/(3\/8). Solve r = h*z + 5*r + k, -5*r - 15 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22, 77, 154, 253, 374, 517, 682?\n\"Answer: 11*s**2 + 22*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*-1 + ((-336)\/180 - -7). Which is the fourth biggest value? (a) 4 (b) m (c) 1\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 1221.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7*g = 10*g - 22665, -5*y + 22670 = 4*g. Suppose f - 713 = -l, l - y = -5*f - 981. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -195 + 195.0153. What is i rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7948?\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76091559 is divided by 201?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**2 + 83*f + 173. Let z(h) = -3*h**2 - 50*h - 104. Let r(t) = 7*d(t) + 12*z(t). Determine r(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13806, 13804, 13800, 13794, 13786, 13776, 13764?\n\"Answer: -k**2 + k + 13806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2\/109491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -181372 or 1\/3?\nAnswer: -181372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 13. Suppose -p = -4*k - 2. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*p - 278 = 501 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17681?\nAnswer: 17681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4\/13 (b) -3\/5 (c) 0.03 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, q: 1, u: 3, p: 4, v: 2}. Give prob of picking 2 p and 1 v.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 122348 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3645)\/97200)\/((-18)\/35)*((-6)\/3)\/14?\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1784 = 164*l - 12*l + 9*l + 13 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 c, and 1 p when three letters picked without replacement from {p: 1, x: 1, c: 1, z: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.652855mg?\nAnswer: 6652.855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2. Let m(p) = 28*p + 2. Give m(s(b)).\nAnswer: 84*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + o**2 + o. Let k(y) = 72*y**3 + 14*y**2 + 14*y. Determine 3*k(j) - 42*v(j).\nAnswer: 258*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -8107.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 122, 1\/6, 5 in ascending order.\nAnswer: 1\/6, 5, 68, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.53 and 5?\nAnswer: -2.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*k + 27 = 0, -4*f = k - 9 - 0. Suppose -f*a + a = -4. Let b = a - -24. Calculate the remainder when b is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.7 + -3.7. Let u = 87 + -784\/9. What is the nearest to b in 0.1, -2, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5840417*0.07\nAnswer: -408829.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 129?\nAnswer: 10\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 8, 2\/249?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*5\/((-50)\/(-8))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636*p + 614*p - 12350 = -703*p + 2200*p for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20 - -2 - (-94 + 89)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5369.465 - 5575.9. Let w = i - -211. Let a = w - -0.035. Round a to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171504316 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -197515 by -39503.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.59 + -0.589998095. Round y to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + f + 11 = 3, 0 = m - 6*f + 3. Solve 4*q - 3*u - 19 = 0, -4*u + 9 + m = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 942398.3um?\nAnswer: 0.9423983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5 = 2*u, -5*f + 25 = -u - 4*u. Let p = 13 + u. Suppose -5*r = -3*g + 191, -260 = -4*g + r + p*r. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7416*d - 178859 = 436669 for d.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 60 * -1.6\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94.17878101 + 8.54.\nAnswer: 102.71878101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67726*g**2 + 5*g**3 + 67726*g**2.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwfr when four letters picked without replacement from {r: 11, f: 2, w: 1}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176410, 176391, 176360, 176317, 176262?\nAnswer: 176195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*b - 54*b - 172 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -49 + 2 + (-1 - 3). Let k = -47 - l. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1af (base 16) to base 9.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -209 - -207. Which is the third biggest value? (a) 4 (b) g (c) -30 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsfplsh. Give prob of sequence fg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 40 = 5*u, -3*u - 3*y + 9 + 18 = 0. Suppose -u*b - x - 4*x + 22 = 0, -4*x = -b - 5. Solve 4*d = d - b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3384431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l - 28*l - 2*l + 31*l + 24*l.\nAnswer: 47*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7167 + 18723 = 9*y. What are the prime factors of y?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4587.\nAnswer: 3, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14779453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451c (base 15) in base 8?\nAnswer: 177375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1 - 1 + 1 - 3 + (-12 + 0 - 14)*(4 + 0 - 2))*(-2 + 2 + h**2).\nAnswer: -57*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**3\/6 - 3*v**2\/2 - v. Let g(q) = 7 - 8 + 0. Suppose 2*f - p = -4*p - 13, -2*f + 4*p + 8 = 0. Give f*z(a) + 6*g(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (1 + -1 + 3). Let b(u) = -35*u. Let m be b(l). Let x(q) = q**2 - 70 + m. Let v(h) = -5*h. Determine x(v(t)).\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 388 and 36.\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 53*z + 1. Suppose -3*o - 1 = 3*u + 11, -2*u = -o - 7. List the prime factors of a(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26481809 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 0 + 0 + 2*o**2. Let j(l) = -6501*l + 13136*l - 6570*l. Calculate j(t(z)).\nAnswer: 130*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*s - 21*s + 46 - 1 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.8 - 12.4. Which is the fourth biggest value? (a) 0.04 (b) 1 (c) o (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 145630 - 2?\nAnswer: 145627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21101\/4055 - -3\/811. Let j = -24\/5 - f. Let o = -3 - -2. What is the nearest to j in o, 0.4, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 522187, 1044145, 1566103, 2088061?\nAnswer: 2610019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.049*-6758\nAnswer: -331.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 11:12 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 18. Let x(c) = -c**3 + 2*c**2 + 2*c + 1. What is x(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 801*1.9564\nAnswer: 1567.0764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/((-84)\/(-49)*-7*(-3)\/(-4))\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqkkddkkvvkkqpqldkk. What is prob of picking 1 l and 1 q?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezezzzzzfezzzzzz. What is prob of sequence zzzf?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -27*w**2 + 2. Let i(z) = -12*z**2. Calculate a(i(p)).\nAnswer: -3888*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*s + 3*s. Suppose 0 = -4*f + 16, 4*y - f = y - 4. What is the smallest common multiple of 88 and -4*(y + s) + 6?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f - 5840 = 5*o, 0 = 2*o + 4*f + 2344. Let v = 2381 + o. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggmg when four letters picked without replacement from {w: 1, g: 3, y: 4, m: 3}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/3 (b) -8 (c) 4 (d) 2\/11 (e) 0 (f) 0.5 (g) -4.89\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 382218998 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 11:52 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 7. Let x be y(4). Suppose 5*o - 50 = -4*c + 16, -c + 4*o = -6. Solve x*i = 1 + c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -6, -3, 5, -2, -1163 in ascending order.\nAnswer: -1163, -6, -3, -2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -103 and -0.6166.\nAnswer: -103.6166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-34)*v)\/v**14)\/(v**(5\/9)*v**(-4)))**45 assuming v is positive.\nAnswer: v**(-1960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44.9 + -45. Suppose -6 = 4*j + 5*c + 55, -3*j = 5*c + 47. Are j and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 1006*j - 1000*j. What is the greatest common factor of j and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**5 + 27*p**4 - 138*p**3 + 222*p**2 - 153*p + 39.\nAnswer: 3*(p - 1)**4*(p + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) - (sqrt(114) + sqrt(114) + (sqrt(114) - (sqrt(114)*-3 + sqrt(114))))))\/sqrt(6)*-6)**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 1\/53733405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 0 - 12, 3*j + 2*a + 9 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 4148?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7\/2 (b) 0.3 (c) 2 (d) -31 (e) 7 (f) 0.561 (g) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 1. Let j(t) = -4*t**2 - 4*t - 4. Let x(i) = -3*j(i) + 12*w(i). Suppose 18*d - 413 = 11*d. Let v(r) = -d*r**2 + 7 + 57*r**2 - 7. Give v(x(k)).\nAnswer: -288*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q - 1015 + 3*q + 919 + 185*q**5 - 2*q**4 wrt q?\nAnswer: 3700*q**3 - 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2310.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008827 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -230330053 (base 6) in base 14?\nAnswer: -7c029b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from ntnntnttnnzttzntttz.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flcfvgi. Give prob of sequence gcil.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.217 + 0.217. Sort v, 0.1, -5, 49\/5.\nAnswer: -5, v, 0.1, 49\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 6:32 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*(sqrt(1100) + -1) - sqrt(1100)) - (sqrt(1100) + (0 + sqrt(1100))*-5 - ((sqrt(1100) - 3*sqrt(1100)*2) + sqrt(1100))))**2.\nAnswer: -960*sqrt(11) + 70436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -9663.\nAnswer: 9\/3221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*r**2 - 57*r**2 + 119*r**2 as k + t*r + s*r**2 and give s.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2786.15455 plus -405?\nAnswer: -3191.15455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13998902*u - 13324349 with respect to u.\nAnswer: 13998902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 13*a**3 + 74*a - 75. Determine r(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 975 - 792 = 0. Calculate the greatest common factor of m and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d + 19 = 5*v, -4*d + v + 25 = 0. Suppose -t = t - d. Put 4, 6, t in ascending order.\nAnswer: t, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least -99\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/110 + ((-6)\/(-4))\/3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 12)\/(-3) + 1 + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14607320 by -104.\nAnswer: 140455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3 - 4209*t**2 - 1474200*t + 1478412 = 0.\nAnswer: -702, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-65)\/(-8))\/((-150)\/300) - -16)\/((-2)\/(-40)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -3, -2402, 1 in ascending order.\nAnswer: -2402, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1688908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**8\/84 - 2*i**7\/105 - i**6\/10 + i**5\/3 - i**4\/3 + 11*i**2. Factor w(y).\nAnswer: 4*y*(y - 1)**3*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**2 + 4*d**2 - 123*d**5 + 591*d + 386*d wrt d.\nAnswer: -2460*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 0*k + 20 = -5*k, -k = 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, n: 4, l: 2, y: 3}. What is prob of sequence lk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30162 + 27878.8. What is k rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44991094 - 13338*u + 44991094 in the form m*u + f and give m.\nAnswer: -13338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven tenths of a meter?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.663232ml?\nAnswer: 0.006663232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 + 1. Let n = r + -0.1. Suppose 0 = -2*p + 5*m + 25, 0 = -m - m - 6. Which is the smallest value? (a) 3 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 20, 29, 38, 47, 56?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146*j**3*u**2 - 2*j**3*u - 217*j**3 - 14*j**2*u**2 + j**2*u + u**2 + 814 wrt j?\nAnswer: -876*u**2 - 12*u - 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -49. Let k = -65 - -48. Let z = k + n. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d + 20*d + 10*d - 8*d - 17.\nAnswer: d - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65*-10*(-60)\/(-3000).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 2*d - c - 2, 5*c + 29 = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 - 1807475*f**3 + 10844730*f**2 - 21689380*f + 14459560.\nAnswer: 5*(f - 361489)*(f - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4004 and 884?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.598 - 2.598. Which is the nearest to -0.3? (a) 1 (b) k (c) -5 (d) 7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -208 divided by 3\nAnswer: -208\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 410*y. Let v(w) = -2*w**2 + 13*w. Determine j(v(r)).\nAnswer: -820*r**2 + 5330*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 12*k + 6. Let o be v(12). Let x be 42\/4*10\/15. Solve -4*g + o = -x*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18049?\nAnswer: 18049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 7*y - 24 = 0. Let i(q) = -q**2 - 13*q - 8. Let d be i(y). Solve s - 3 = -d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.7938905521353 less than 0.4?\nAnswer: 12.1938905521353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5\/6 (b) -1\/5 (c) 127 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12554*x - 40 = -12557*x - 4*v, 3*v = 6*x - 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1085 + 12?\nAnswer: -1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (5 - 6) + 5 + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 33. What is the least common multiple of 6 and j\/(-4) - 18\/(-24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402267607 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56 - 466?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**3 - 16936*y**2 - 152132*y - 135200 = 0. What is y?\nAnswer: -4225, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.918416 months to millennia.\nAnswer: 0.000659868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 190593197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.478\nAnswer: -0.0956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5079 is divided by 843?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-45))\/(-1*2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2\/5 (b) 5 (c) -2\/47 (d) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 935 + -940. Suppose -15 + 76 = 5*k - x, -14 = -k + 2*x. Let t(o) = -15*o**3 + 12. Let w(l) = -6*l**3 + 5. Calculate k*w(z) + q*t(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 2*o**2 + 2*o + 1. Let n be z(2). Let c be (4\/(-7))\/((-4)\/14). Solve -5*v + n*h - 6 = 39, -h - 3 = c*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001563 rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.5 + 40. Suppose -6 = h - 5. Which is the nearest to h? (a) u (b) 5 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -9 + (0 - 0). Let i(r) = r**2 - 14*r + 48. Let g be i(6). Suppose 21*v - 18*v + 18 = g. Which is smaller: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 3*h**2 - 2*h - 1. Suppose k + 4 = -2. Let b(q) = -q - 3. Let p be b(k). Determine l(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105*(5214\/(-154) + 34) + (-1153)\/77.\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -40498.731.\nAnswer: 40497.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + 2*k**2 - 2*k**2 - 2*k**2 - 3*k**2 + 4*k**2 + (-k - 4 + 4)*(-2*k + 4 - 4) + 3*k**2 + 1 - 1 + 151*k**2 + 156*k**2 - 266*k**2.\nAnswer: 47*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2*c = -10, -3*s - 69 + 54 = -4*c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8350639 and 836.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93*x**3 + 82 - 231*x**3 - 13 wrt x.\nAnswer: -972*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -15*b + 36. Let m(u) = -3*u + 7. Let v(o) = -11*m(o) + 2*t(o). Let f(r) = -r**2 + 19*r - 58. Calculate the lowest common multiple of f(15) and v(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*g = -27*g - 1290. Suppose -3*w - 15 = 0, 4*w + g = -r + 1106. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 5:49 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 45*x**3 + 6*x**2 - 6. Let v(a) = -89*a**3 - 13*a**2 + 13. Determine 6*v(b) + 13*z(b).\nAnswer: 51*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81568206?\nAnswer: 2, 3, 101, 44867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-12*8\/24)\/(8\/(-6)) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*b + 5 - 5 - 19*b as q + n*b and give n.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by -1222.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1222287 or -1222289?\nAnswer: -1222289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 6*b**2 + 10*b + 8. Let l be n(-11). Suppose 12*p = 133 + l. Suppose -d + p = -202. What are the prime factors of d?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -523 - -524. Sort 5\/7, q, 0.04, 3 in ascending order.\nAnswer: 0.04, 5\/7, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a. Let h(r) = -8*r**2. Let q(v) = -v**2. Let x(d) = h(d) + q(d). Calculate x(j(t)).\nAnswer: -324*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 54\/5 of a milligram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2 = -4*z + 34, -8 = -z - 4*q. Let c(t) = t - 6. Calculate the smallest common multiple of 12 and c(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2581.98, -1, -1\/2 in descending order.\nAnswer: -1\/2, -1, -2581.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 5*y + 5*y)*((-2*y + 5*y - 2*y)*(4 + 0 - 3) + y - 3*y + 0*y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 129 + 6 = 0. Let t be -1 + g - (1 - (1 - 4)). Solve t - 8 = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3289, 3283, 3269, 3241, 3193, 3119, 3013, 2869?\n\"Answer: -c**3 + 2*c**2 - 5*c + 3293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35676, -141894, -318932, -566796, -885492, -1275026, -1735404?\nAnswer: -2266632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 x when three letters picked without replacement from zzzxzzxzxzxzlzzzx.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 4*r**3 - 8*r**2 - 9*r + 2*r - 2 - 5*r**3. Let s(u) = -u**2 + 2*u - 3. Let b be s(3). List the prime factors of x(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9471282*b*h + 28682710*b wrt h.\nAnswer: 9471282*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1011\/32 - 1027\/32. Let w = 65.7 - 1.7. Which is the smallest value? (a) k (b) w (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 37*i = 848625. What are the prime factors of i?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 2*z - 3*z)*(-13*z**3 + 0*z**3 - 2*z**3)*(-1 - 1 + 0).\nAnswer: -150*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 3. Let l(q) = -3*q - 9. Let m(a) = 15*h(a) - 5*l(a). Let i(x) = -11*x. Determine 9*i(v) + 2*m(v).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 16*s - 19*s + 30, 25 = 2*s - 5*p. Solve j = -s*h - 27, 3*h + 21 = 19*j - 22*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**4\/4 + 19*q**3\/3 + q**2 - 2*q. Let v be h(6). Solve 8 = -v*c + 2*y, c - 2 + 6 = 4*y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 363 - 361. Suppose o*h + 335 - 1325 = 0. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*a + 14, -3*i - 18*a = -23*a + 2. Suppose 2*c = 4*m - 11 - 5, 4*c + 2 = -2*m. Sort m, i, 1, 4.\nAnswer: i, 1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151387199267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3))**(-17)\/(o**(-2\/7))**(-40) assuming o is positive.\nAnswer: o**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -182755098.\nAnswer: -182755100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -1\/7 (b) 5 (c) 20 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0, 3, -1.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + n + 97 - 66, -2*n = 14. What is the nearest to s in -8, 0.4, 0.8, -0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 205615327 + 2?\nAnswer: 205615330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**4\/48 + 41*p**3\/24 + 45*p**2\/2 - 134*p - 3. Factor n(i).\nAnswer: (i + 5)*(i + 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 4*w**2 + 9*w - 4. Let i be u(9). Let k(g) = -927*g + 7. Let f be k(7). Let v = i + f. Round v to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737\/((-1)\/(-5 + 4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 + -109.2. Which is the closest to w? (a) 0 (b) 2\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24076 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 prob of picking 2 h and 1 i when three letters picked without replacement from hhpuehi?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 6:47 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2988 - -2988. What is the closest to 1 in -1\/4, u, 12, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from vvvvvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 526*u**2 - 38*u**2 - 10*u**3 + 3*u - 486*u**2 + 3 as s*u + y + z*u**2 + w*u**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7084753 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(121)\/(sqrt(11)*-2) + 1 + (sqrt(121) + sqrt(121) + sqrt(121)*-3)\/sqrt(11))**2.\nAnswer: 12*sqrt(11) + 163\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123 and (13 + -7)*(6 + (-18)\/4).\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 3*v**2 - 5 + 2*v**2)*(-4*v + 0*v + 6*v) + (-v**2 - v**2 + 0*v**2)*(4*v - 4*v - v).\nAnswer: 6*v**3 - 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + f**2 - 1093*f**3 + 59 + 49 - 165.\nAnswer: -1093*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -297\/7 - -42. Let a = -11 + 16. What is the second biggest value in -0.4, a, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + i - 9, 4*i = -3*y + 21. Let c = y + 1. Suppose -c*n + 64 = -12. What is the remainder when 75 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1732 = -4*a, -2*b = 9*a - 4*a - 1705. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 1 + 4 - 1335*d**3 + 1324*d**3 - 2*d**4 to m*d**3 + y*d**4 + v*d + c + a*d**2 and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o + 328. Let t(g) = 15*g - 327. What is 3*d(x) + 2*t(x)?\nAnswer: 3*x + 330","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -5, -491, 4, -1 in decreasing order.\nAnswer: 4, -1, -5, -23, -491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84*z - 196\/3 - 1\/3*z**4 - 109\/3*z**2 + 6*z**3.\nAnswer: -(z - 7)**2*(z - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 9*q - 5. Give u(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 23*a - 21*a = -21, -28*a + 30*a + 6 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n + 0*n)*(39*n**3 - 1302*n**2 + 1302*n**2).\nAnswer: -39*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 - -162. Suppose 3*o - 76 = -4*i, 28*o - 30*o + i + 47 = 0. Let f = o + a. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 2*t - 3189*q + 3192*q, q = 5*t - 97 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j + 9 - 9 + 5 - 5 + 6*j + 1 + 2*j - 1 - 4*j + 2*j + 3*j + (2*j + 0*j + 0*j)*(1 + 1 + 0) as n + v*j and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = -2*z, j - 4*z = -0*j + 8. Solve j = 4*o - 16, t + 2*o + 7 = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1 (b) 0.01626 (c) -5 (d) 4\/5 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 457345.6 millilitres to litres.\nAnswer: 457.3456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 - (0 + -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssiswwiswiisswswis. Give prob of sequence wsi.\nAnswer: 25\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 71280\/(-87120) - (-338)\/440\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6657400 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 + 37*z**2.\nAnswer: 37*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -87*y**8\/16 - y**5\/30 + 113*y**4\/12 + 1009*y**2. Find the third derivative of w(b) wrt b.\nAnswer: -109620*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 444 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1480, 1530, 1580?\n\"Answer: 50*m + 1430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -l - 6, 3*y + 5*l = 4*y + 10. Suppose y*z = 16*z - 30. Solve 9 = -z*w - f - 1, 5 = -f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 438*y**3 - 19*y - 442*y**3 - 2*y**2 + 3*y**2 to the form v*y**2 + m*y**3 + a + g*y and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 0*j**3 - 1\/12*j**5 + 0 + 0*j + 0*j**4 - 2*j**2 + 1\/20*j**6. What is the third derivative of d(g) wrt g?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/365103 and 29\/365103.\nAnswer: 365103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1080335 and 8227?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -488.5 - -306. Let z = f + 182. Which is the closest to -5\/2? (a) 0.4 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5316 - 1.7316. Let n = -32 - -37. Which is the biggest value? (a) l (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -9*t**2 + 4*t + 234. Calculate the smallest common multiple of 72 and j(0).\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2 + 18 - c**2 - 2*c**2 - 5 + 13*c. Let m be y(-13). Determine u, given that -5*u**3 - 8 + 21 - m + 20*u**2 - 15*u = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021252 to 4 decimal places.\nAnswer: 0.0213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*l**5 - 46*l**3 - 4*l**2 - 368886*l wrt l.\nAnswer: -560*l**3 - 276*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 8. Let d = -5 + 8.5. Let k = s - d. Which is the smallest value? (a) k (b) -4\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -16. Suppose -2*i - b = -2*n, -4*n + 3*i = -30 + 9. Let p be 13\/52*8 - -1. Solve 2*l - n = -h - h, p*l - 15 = 3*h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23.3, -4\/31, -3, 2\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/7659 + 22997\/153180. Let l(j) be the first derivative of -27 + 3\/8*j**4 + a*j**5 - 3*j**2 + 0*j - j**3. Suppose l(d) = 0. What is d?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/23 (b) 371 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/180 and -73\/5668.\nAnswer: 255060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298634 is divided by 74651.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, e: 2, n: 1, i: 2, a: 1, k: 1}. What is prob of sequence ia?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0558 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -17*q - 1. Let w be u(-1). Let p be ((-200)\/w)\/(1\/(-2)). Calculate the highest common divisor of 10 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/39, -0.5, -54, -3, -0.2 in ascending order.\nAnswer: -54, -3, -0.5, -0.2, 2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 2*a - 2*a - a**2 + a**3 to the form y*a**3 + j*a**2 + n + p*a and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**3 - l**2. Let n be r(1). Let q = 27.62 - 31.4. Let z = 3.48 + q. What is the third biggest value in z, 3, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**5\/60 - x**4\/8 - 5*x**3\/6 + 2*x**2 - 36*x. Determine c(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24722*d**2*i - 5*d*i - 3*d - 738*i wrt d.\nAnswer: -49444*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4*h - 24, 4*i + 4*h = -0*h. Let r(u) = -13*u + 3. What is the units digit of r(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*g - 95. Let v be (-3*(-6)\/(-9))\/g. Is v smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34770660 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b**0)\/b))**(-1\/6))**(-23) assuming b is positive.\nAnswer: b**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 527*m**2 - 38*m + 37. Let v be h(1). Let q = -522 + v. Solve 5*b = -2*n + 3*b + 12, q*b - 12 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 5.3. Let o = -8 - -10. Let m be ((-18)\/16)\/((-6)\/(-8)). Which is the third biggest value? (a) k (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 1, -113 in descending order.\nAnswer: 1, 0, -5, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 32*t**6\/3 + 288*t**5\/5 - 55*t**4 - 268*t**3\/3 + 78*t**2 - 20*t + 43. Solve j(g) = 0 for g.\nAnswer: -5, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 339339?\nAnswer: 339336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 3*i - 2. Let t be b(-3). Let w(h) = h**2 - 2*h - 2. Let l(o) = o**2 - 2*o - 3. Let g(f) = t*l(f) + 3*w(f). Determine q, given that g(q) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 31, 7, -69, -203, -401, -669, -1013?\n\"Answer: -m**3 - 20*m**2 + 43*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**3 - 9*q**2 - 9*q - 4. Let a be n(7). Suppose 6*i = a + 478. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 2*o + 11, -2*f - 7*o + 14 = -9*o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + (-1*sqrt(12)\/(1*sqrt(384)) - (3*(0 + sqrt(2)) - (sqrt(2) - sqrt(14)\/(sqrt(7) - (sqrt(7) + sqrt(21)\/sqrt(3)))))))**2.\nAnswer: -45*sqrt(2)\/4 + 849\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*h**3 + 4 - 29*h**3 + 130*h**3 - 190*h**3 - 4.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -67\/369?\nAnswer: -67\/369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 9984880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**5\/9 + 62*b**4\/3 - 94*b**3\/9.\nAnswer: 2*b**3*(b + 47)*(2*b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**18\/i)*(i\/i**16)\/i assuming i is positive.\nAnswer: i**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffafffffafffff. What is prob of sequence ff?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/14? (a) -2\/7 (b) -2\/17 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -663289434, -663289433, -663289432, -663289431?\nAnswer: -663289430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -8*r**3 - 4*r**4 + 10*r - 2*r - r**2 + 5*r**2 + 0*r**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 + 319*t**2 - 3835*t\/4 + 1279\/2.\nAnswer: (t - 2)*(t - 1)*(t + 1279)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21122110010 - 2110211?\nAnswer: 21112222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**4\/3 - x**2 + 2*x + 18. Let c(v) = -10*v. What is c(q(p))?\nAnswer: 40*p**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Suppose 2*v = -3*v + 65. Let d = 16 - v. Solve -d*p = -b*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 5 + 8*4\/(-8). Let l(b) be the third derivative of 1\/6*b**4 + 0*b + 0*b**3 + 1\/15*b**5 + p + b**2. What is the second derivative of l(a) wrt a?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43009 greater than -1049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 2.82.\nAnswer: -0.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -4*m**3 + 132*m**2 + 73*m - 2. Let j be q(0). What is the highest common factor of j and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -16. Suppose -3*t + 12 + 6 = n, -4*t + 12 = 0. Calculate the highest common factor of l and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2313652 + 1413652. Round o to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.116 and -213.3.\nAnswer: -213.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32020303 divided by 2501?\nAnswer: 12803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 310154 by 1963.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -30, -2\/5, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46\/(-5) - (-12)\/60. Let b(h) = -h**3 - 10*h**2 - 10*h - 9. Let p be b(n). Let w = -3\/22 - -18\/11. Put -3\/10, w, p in decreasing order.\nAnswer: w, p, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 1, w: 2, v: 2, q: 2}. What is prob of sequence wvb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3570273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = f. Suppose 0 = f*u - 3*v + 239, 0*v = -3*u + v - 183. Let w = u + 66. Calculate the remainder when w is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 14*b + 24 = 11*b, -7*b - 47 = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by ((-14)\/(-21) + 2)\/((-2)\/(-33))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3) + 0 + sqrt(3)*6 - (-5 + sqrt(300))**2) + ((sqrt(432)*4)**2 - ((sqrt(300) + -5)**2 + sqrt(300))).\nAnswer: 197*sqrt(3) + 6262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-4\/21)\/h)\/h)\/h*h\/(h\/((h*h**(-20)*h*h)\/h*h)))**(16\/9) assuming h is positive.\nAnswer: h**(-6784\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 + (-7 - -2 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/27 - (-5)\/(135\/114). Suppose -f*i = -3*i - 400. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -0.399932. Round p to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + (0 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228603?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**4\/2 - 4. Let o be m(1). Find the third derivative of u**4 - u + u**o + u + u**4 wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532881 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/(-8) - 24905\/1465?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2882033*k - 3818389 wrt k.\nAnswer: 2882033","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -0.2, 0.07, 10.\nAnswer: -0.2, -0.08, 0.07, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**3 - 7*y**2 + 4*y. Let i(x) = -12*x**3 + 27*x**2 - 15*x. Let w(b) = 15*g(b) + 4*i(b). What is the third derivative of w(j) wrt j?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**4*s - 50*g**4 + 3*g**3*s + g**2*s - 2*g**2 + 114*g + s wrt g?\nAnswer: 24*g*s - 1200*g + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + 6*k + 8. Let f be p(0). Solve 0 = -3*c - f - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.81424cm in millimeters?\nAnswer: 338.1424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -80\/29223 and -109\/53862.\nAnswer: 2746962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -374.15 + -1.9305.\nAnswer: -376.0805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*m**3 + 749*m**2 - 337*m - 1 wrt m?\nAnswer: -72*m + 1498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69327365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -66730485.\nAnswer: -20019145.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c + 4305495*c**3 - 7*c - 5*c.\nAnswer: 4305495*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3004, -4466, -5928, -7390, -8852, -10314?\n\"Answer: -1462*g - 1542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 2*t = 14, -140*t + 138*t - 14 = 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c - 56. Let y be t(-21). Suppose 25 = y*z - 54*z. What is the third biggest value in z, 0, -4, -2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -182, -128, 12, 280, 718, 1368, 2272?\n\"Answer: 7*h**3 + h**2 + 2*h - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2481 divided by 7701.\nAnswer: -827\/2567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -9. Let i = -3.8 + x. Let r = i + 1. Which is the third smallest value? (a) -4 (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12250 (base 7) in base 4?\nAnswer: 302110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195 and 171.\nAnswer: 11115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (13 - (7 + -2)) - 11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410477741 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Suppose -u*f - 10 = -100. Let n be (-1)\/(-2 - f\/(-21)). Let b(c) = 5*c**2 - 2*c + 4. Let y(t) = 11*t**2 - 5*t + 9. Determine n*b(g) + 3*y(g).\nAnswer: -2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2. Let s(w) be the second derivative of w**6\/40 - w**4\/4 + 5*w. Let r(y) be the third derivative of s(y). Calculate v(r(q)).\nAnswer: -648*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 190, -15, -220, -425, -630?\n\"Answer: -205*i + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s + 10 - 3*s**3 - 4 + 2*s**3 + 5*s**2. Let h = 23 - 17. What is the lowest common multiple of 9 and d(h)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 6. Let n be c(-5). Let w(x) = -13*x + 11. Let q(o) = -7*o + 5. Let d(t) = -9*q(t) + 4*w(t). Determine d(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 = 9*r - 2*r. What is the remainder when r is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-10))\/((-12)\/30) - -7. What is the derivative of -51 - 3*t**4 - s*t + 11*t**4 + t**4 wrt t?\nAnswer: 36*t**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -65*x. Let a(t) = -290213*t. What is a(w(n))?\nAnswer: 18863845*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8276447 micrograms?\nAnswer: 0.0008276447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -727409500 by 9890.\nAnswer: -73550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1238.759 (c) 0.2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15279 is divided by 100.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 195 + -100. Suppose -19*s + 169 + 553 = 0. What is the greatest common factor of i and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2426 is divided by 238?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-3 - 7) - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 + 4 + 0 - 3*d**2. Let q(p) = -10*p**2 + 6*p + 3. Let g(y) = y**2 - y. Let w(m) = -6*g(m) - q(m). Let r = 6 - 10. What is r*w(l) - 3*k(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44 - 7)*(-1)\/1. Suppose k + 9*u - b = 4*u, 0 = -3*k + 2*u + 119. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-440)\/(-780))\/((-1)\/(-3)). Suppose -3*i - 2 = -5. Is i equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*d**3*z + 7*d**3 - 7*d**2*z - 5*d wrt d.\nAnswer: -60*z + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89042189 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863940193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1674 + 1659. Let o(d) = -d**3 - 15*d**2 - 15. Determine o(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*y**4 + 140722*y**3 + 3*y**2 + 140320?\nAnswer: 672*y + 844332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -140*q - 521. Let k(b) = 44*b. Determine k(f(m)).\nAnswer: -6160*m - 22924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/41 (b) 0 (c) -0.2 (d) -0.0489\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 10*p**2 - p + 6. What is the least common multiple of 10 and s(-10)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18\/(-8))\/((-1)\/100) - -2?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61762.\nAnswer: 2, 30881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*f = -251*f + 403456. List the prime factors of f.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -79*t**2 - 1118*t - 1116. Determine m(-1).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4421, 4482, 4567, 4676, 4809?\nAnswer: 4966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 4*p**2 + 19*p - 12. Let s be i(-7). Suppose 1\/4*v**3 + 1\/4*v**s + 0*v + 0 = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, n: 1, r: 10, v: 1, i: 2}. What is prob of picking 2 i?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**5 - 7345*a**2 - 10691*a wrt a.\nAnswer: -60*a**3 - 14690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9 * 0.2.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 51. Suppose p*x = 11*x - 119. Solve -y - 5 = -6*f + 3*f, -x = f - 5*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.2 + -8.2. Sort 5, 2, m in increasing order.\nAnswer: m, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -342 (base 11) in base 7?\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -1 + sqrt(567) + sqrt(567))**2 + 3.\nAnswer: -54*sqrt(7) + 5107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35265 less than or equal to 35262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 2:57 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 + 22?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-134 - 189 + 92)*(-4*c + 10*c + 10*c) to i*c + g and give i.\nAnswer: -3696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 13672 - 13112. Let h(p) = 10*p. Let l be h(4). What is the highest common factor of z and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2929*j**2. Let w(d) = 1444*d. Calculate w(f(s)).\nAnswer: 4229476*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9160636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-724)\/18 - 8\/(-36). Let q = -31 - k. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238457 is divided by 119163.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - -1) + (-4 - -10186)?\nAnswer: 2, 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 10, -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29325*a**3*i + 1613*a**3 - 187657*a**2*i + 25*a**2 + a*i wrt a.\nAnswer: 175950*i + 9678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 109106, 218249, 327380, 436499, 545606?\n\"Answer: -6*x**2 + 109161*x - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1267*m + 713*m + 650*m - 1632 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 286 - 283. Is 4 a factor of (-6)\/(-9) - (4 - 358\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 - m**2 - 2*m**2 + (m**2 - 5*m + 5*m)*(4 - 3 + 3).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15118*o - 15087*o + 45232*o - 15085*o.\nAnswer: -58*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*k**2 - k**2 + 3*k**2)*(-1 + 1 + 2*k) + 0*k**3 + 4*k**3 - 2*k**3 + (k - 2*k - k)*(0 + 0 + 2*k**2))*(-5*k + k + 2*k).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + -29 - -36) + (0 + 1 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 744714.4g in kilograms?\nAnswer: 744.7144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-5))\/((-8)\/20). Suppose -21 = -x*f + 21. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -376\/13*u + 17672\/13 + 2\/13*u**2.\nAnswer: 2*(u - 94)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**2 + 18*o - 77. Let n(j) = j**3 - 9*j**2 - 3*j + 47. Let d be n(9). What are the prime factors of f(d)?\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -5*l + 25, -6*d - 5 = -332*l + 331*l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 15*s - 396 = -76*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 6*r - 11*r + 6*r + 10*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 2*l - 6. Let p(c) = c**2 - c - 3. What is 3*f(k) - 5*p(k)?\nAnswer: k**2 - k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r + 0*r**4 - 264*r**3 + 2*r**4 + 9*r - 20 - 6*r**4 + 19 to the form v + b*r + y*r**4 + m*r**2 + f*r**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52667 + -1?\nAnswer: -52670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-561)*(-20)\/(-2)*451\/205?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 18. Let a be (-4)\/8 - 141\/d. Let q = -36 - a. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3719430 divided by 1105?\nAnswer: 3366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 38 = -3*o, 3*o + 7 = -2*v + 29. What is the hundreds digit of (2 - 42\/3)*(-5 - v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = 3*h. Let o be 1128\/(-18) + h\/(-6). Let n = -37 - o. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - c**2 - c - 1. Let f(m) = 9*m**3 - 7*m**2 + 17*m + 7. Let x(w) = f(w) + 4*k(w). Does 6 divide x(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2374 divided by -16\nAnswer: 1187\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 585 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -1\/3 (c) 11 (d) 0.12 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54210726?\nAnswer: 2, 3, 3011707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1281664 divided by -20026\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 443*r + 7826. What is j(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 191. Let z = j - 171. Let q = z + 82. Solve 0*r - r - q = 4*s, -8 = 5*s + 3*r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*w - 211*w = -10233 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31514381 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1798189 to the power of 1\/2, to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -60, -103, -172, -267, -388, -535?\n\"Answer: -13*c**2 - 4*c - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -0.255, -117?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1434991 to the power of 1\/2, to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -337 by -257.\nAnswer: 337\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/5))**(-35)*y*y\/(y*(y*y\/(y**7\/y)*y*y)\/y)*y*y**(-7\/2) assuming y is positive.\nAnswer: y**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 885, 937, 1109, 1461, 2053?\n\"Answer: 10*v**3 - 18*v + 893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2. Let k(h) be the third derivative of h**4\/24 + 4*h**3\/3 - 9*h**2. Let a(y) = y + 11. Let g(i) = 3*a(i) - 4*k(i). Give c(g(p)).\nAnswer: -2*p**2 + 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -10 + 12 - 1 - 9*b. Let h be 13*-3*14\/42. Let g = h + 20. Let u(z) = 4*z. Calculate g*u(a) + 3*j(a).\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*g - 433 - 82*g + 1438 + 25*g + 33*g to the form b*g + f and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*n**4 - 866*n**3 + 10112*n**2.\nAnswer: -2*n**2*(n + 64)*(8*n - 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 4*o + 79. Let c be (-3 + (-13)\/(-5))\/(o\/30). Let u(y) = -y + 6. Give u(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1794 - 1757. What is the remainder when 114 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8031.8 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 15536*t - 6421080.\nAnswer: -2*(t + 438)*(t + 7330)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**5\/10 + o**4\/8 - 2. Find y such that r(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 73 - 2?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 959 = 3*v, -5*v + k + 1613 = -0*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v + 4*v - 90300 = -2*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, 2, 15, 0, 52.\nAnswer: -14, -3, 0, 2, 15, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 - (-4 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -2*h - 19 + 7, 0 = 5*h + 2*m + 21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:43 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 6*z + 10. Let n be o(-9). Let s be n\/(-7) + (-57)\/133. Solve -2*j + 4 = s*h - 7*h, j - 2 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4205570*c**3 + 9704774*c**2 wrt c?\nAnswer: 25233420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 114*1014133\nAnswer: 115611162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2042 - 1673 = -5*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/40 and 33\/416360?\nAnswer: 416360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + -11. What is the second derivative of n*w**5 + 5*w**2 - 3*w - 3*w**2 + 5*w - 4*w**2 wrt w?\nAnswer: 960*w**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*m, -12 = -2*d + d - 3*m. Let n = 63 - d. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2827 - 1263. Calculate the greatest common factor of b and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 2502063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803.\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 104*l**2 - 866*l + 497. Find the first derivative of t(h) wrt h.\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0653915ng?\nAnswer: 0.0000000000000000653915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddrr. What is prob of sequence rdd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -0*m - m. Suppose -8 = -2*h - m*h. Suppose 0 = -h*u + u + 39. Calculate the remainder when u is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*a + 15. Let u be 18\/8*(a - 26\/(-6)). Solve 3*j = u*y - j + 13, -18 = -2*y - 4*j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v + 43 - 111 + 68. Let f(i) = 3*i + 30. Determine f(c(d)).\nAnswer: 12*d + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -97054815 + -0.3835273?\nAnswer: -97054815.3835273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -236?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 185689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 36. Is 2954 + -3*l\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.91, -3, 3346?\nAnswer: 3346","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 + 342*c**2 - 11*c + 539. Calculate z(171).\nAnswer: -1342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22180456 is divided by 577?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 973, 2193, 3913, 6139, 8877?\nAnswer: 12133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -133\/3, -2268?\nAnswer: -2268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (-1*sqrt(72) - sqrt(18)))\/((sqrt(72)\/(sqrt(8)*-4) - sqrt(9)) + sqrt(9)).\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*i**5 + 25*i**5 + 9*i**5 + 4*i**5 + 3*i**5 - 6*i**5 + (-2 + 2 - 2*i**2)*(-3*i**3 + 0*i**3 + i**3).\nAnswer: 68*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.61 in 0.2, 4.1, -2?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 581*h**2. Let f(r) = -14*r**2. What is f(k(x))?\nAnswer: -4725854*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5399*o - 2. Let a = 16 + -14. Let m be u(a). Round m to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -62*c**2 - 3*c - 1. Let x be k(-1). Let w = x + 89. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 9*r - 5. Let w be f(-7). Suppose 0 = -3*t - 4*d + w, -5*d = 4*t - 3*t - 3. Let h(o) = -o - o - t*o + 7*o. Let u(m) = 45*m. Determine h(u(j)).\nAnswer: 90*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5576262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 2) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2497989 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 6245 (b) -0.3 (c) -7\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i. Let h(r) = -17287*r**2. Determine x(h(c)).\nAnswer: 138296*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 194*b - 1 + 2 + 0. Let k be q(1). Let f = k + -138. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -95, 7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 280 + -3 - (-6)\/(-3). Suppose -k + 2*u + 14 = -11, -4*u - 100 = -4*k. Calculate the highest common factor of k and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*y + 715 = 52*y + 29*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-131.8.\nAnswer: 131.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219401501?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/16))**(-41)\/(k**0*k*k\/((k*k**5)\/k)*k**(-20)) assuming k is positive.\nAnswer: k**(491\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 81\/(-5)*(-150)\/45. Suppose -3132 = 42*p - m*p. What are the prime factors of p?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/28980 and 113\/106260.\nAnswer: 318780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**3 + 53*g**2 - 6557*g - 85381. Give c(-13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2170912*c**2 - 2845150 wrt c?\nAnswer: -4341824*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152.50373 - 152.41. What is f rounded to three dps?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-4))\/((-5)\/(-60)). Let k be (t\/(-6) + -2)*-2*1. Let u(w) = 2*w**2 - 4*w - 13. Is 11 a factor of u(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -43*o**2 + 45*o**2 - 21856*o + 21856*o. Let y(x) = -21*x. What is n(y(u))?\nAnswer: 882*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 144 and 3.63706?\nAnswer: 140.36294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + a = -3*z - 60, 84 = 3*a - 3*z. Let w = 32 + 22. Calculate the greatest common divisor of w and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m - 195. What is p(-49)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2001252 - -160?\nAnswer: 2001442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o + 5. Let g be s(-7). Suppose -5*y + g = -2. What is the greatest common divisor of y and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -339 + 362. Suppose -o = -3*q + 7. What is the greatest common factor of 170 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*i + 16224 = -24*i for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (33 - 32)*(0 + -5). Let m be 3\/6 - (-15)\/(-6). What is the second biggest value in -6\/19, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 - 2*h - 2. What is the remainder when u(5) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 28. Let t be k(-12). Suppose -2*n - t = -4*n + 3*q, -4*q - 18 = -n. Solve -8 = -0*i - 4*i - h, 0 = n*i - 4*h + 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71731, 71734, 71737?\nAnswer: 71740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-6)*3\/(-2). Let k be 32*2\/m*1. What is the greatest common divisor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2\/3 + 286*u\/3 + 14017 = 0?\nAnswer: -107, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**14*r)\/(r\/r**(-1)*r)*r**(-2\/27)*r**(-2\/29) assuming r is positive.\nAnswer: r**(9284\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3 - 0. Suppose -r*m + 3 = 0, 5*w + 2*m - 3*m = 19. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 + 0.2. Suppose 2*l = -3*w - 21, 4*w + 26 = -3*l - 8. Let k be -1*2*1\/l. What is the nearest to u in 5, k, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-20)\/8) + (2 - 2). Solve -9*p - q = -7*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 157 and 79571525?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.131 + -0.051. What is the third biggest value in s, -0.01, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r**2 + 11*r**2 + 3*r**3 - r**2 to the form u + w*r**2 + z*r**3 + x*r and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 8:49 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1788, -3618, -5450, -7278, -9096, -10898, -12678?\nAnswer: -14430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4*q = -0*q + 12, -17 = 4*g + q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4542 and 0.1.\nAnswer: 0.04542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*p + 7 = 0. Suppose 0 = x - 24 + p. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48 + 3*j**2 + 394*j**5 + 26 - 140*j**5 + 256*j**5 wrt j?\nAnswer: 30600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 = -7. Find the common denominator of 5\/2 and ((-6)\/18)\/(x\/87).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 65116\/1460 + 7\/5 + -1. Calculate the highest common divisor of i and 170.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 330 and 330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.4 less than 0.3?\nAnswer: -208.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*i + 16 = 0. Let c be 2\/(-4) + (-7)\/(-2). Let n(z) = -z - 5*z + c*z**2 + 5 - 2*z**2. Determine n(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -61, -16, -1\/5, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7999 + 1538 = 7*t. Let y = t + 928. Solve 0 = -6*m + 13 + y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 4, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0 = -25. Suppose -a + 23 = r. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-99) + 18\/(-54)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 772, 6141, 20776, 49309, 96372?\nAnswer: 166597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100174 (base 11) to base 14.\nAnswer: 42aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z**2 - 4*z - 2. Let r be m(-2). Let t(j) = -3*j**2 + 2*j + 6. Let k be t(3). Let g = k - r. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 23. Let a be h(38). Suppose -27*f - 16200 = -a*f. Round f to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o**2 + 0*o**2 + 8 + 4*o**3 - o**2 - 9 - 16.\nAnswer: 4*o**3 - 15*o**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -1 + 2 + 0. Let c = n - 0. What is the derivative of 2*p + 1 + c*p - 5*p wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121 + 981\/8. Let g = 8846565\/1154 + -7666. Let p = g - -13558\/1731. What is the common denominator of p and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - 317012 + 317012 + 52*i.\nAnswer: -2*i**3 + 52*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111679 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: Does 337 divide 5453334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/114 - l**3\/57 - 105*l. Determine x so that b(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74552 is divided by 838?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -1111167 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -647908 by -161977.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 2:53 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.5, 3, -27698, 0.069?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 667 times 0.2\nAnswer: 133.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 + -82. Let u = -18 + p. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(121))\/sqrt(11) - sqrt(11) - sqrt(88)\/sqrt(200).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 514, 0.3, 3\/5, 5, 0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 5*d. Let k be j(6). Let o be (8\/k)\/(4\/6). Let q be (-1)\/(-6)*-2*-2. What is the biggest value in o, q, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64.5 - -65. Let t = 7.99 - 8. Which is the third smallest value? (a) t (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 71.1 or 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 4*p**2 + 8*p - 6. What is the units digit of a(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 2:06 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1483114 divided by 87242.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/2 + 2\/(-4). Suppose 11 = -11*c - 209. What is the units digit of p*(-2)\/12*c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 + -35. Let k be 3*(1 - (-371)\/3). List the prime factors of k\/18 - (-6)\/x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + -5*4*sqrt(170))\/(-3*sqrt(40)))**2.\nAnswer: 6137\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.334 (b) -4\/283 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 541044 and 64410?\nAnswer: 2705220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 162*b**2 - 176*b**2 - 4*b**3 + 2*b**3 - 2*b**4 in the form s + y*b**4 + w*b**3 + x*b + f*b**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -25286 to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -3*sqrt(2)*2)*-2 + (3*sqrt(2)*1 - (sqrt(2) + (sqrt(242) + 1)**2)).\nAnswer: -243 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d + 119. Give w(22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1584353 and 40565?\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**3 + 3*w**2\/2 - 4*w - 1. Let g = -126 - -135. Let i be k(g). What is i rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 2*m - 76*m**3 + 74*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -50.5. Let z = 5 + j. Which is the nearest to 2\/3? (a) 3 (b) z (c) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*h - 861, 5*v + 12*h - 11*h = 1459. Is 44 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 + 0)\/(7\/(-28)). Suppose 4*l - 44 = u. Let b = -587 - -620. Calculate the least common multiple of b and l.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 994, 9, -1122 in decreasing order.\nAnswer: 994, 9, -1122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**3 - 4*y**2 + 21*y - 5. Is i(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 415 = -3*o, 0 = -5*o + 2*h - h + 701. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 1\/12*b**4 + 5\/6*b**3 - 12*b + 0 + 3\/2*b**2 - 1\/20*b**5. Let d be p(-2). Solve -d = -n - n - h, -2*h = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14304 divided by -2\nAnswer: 7152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1080) - ((sqrt(210)*-1 + sqrt(210))\/sqrt(7) - sqrt(30)))\/((sqrt(6) - (sqrt(126)\/sqrt(3))\/sqrt(7) - sqrt(6))*2*-4).\nAnswer: -5*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 532874 divided by -5?\nAnswer: -532874\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1036.792 + 1110.8. Let m = i - 74. Let y = 0.122 + m. What is y rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, 0.138 in ascending order.\nAnswer: -3, 0.138, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12912439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 416 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 13*v + 84. What are the prime factors of g(13)?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2331285980 to the nearest integer?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20498554 - -13209311. Let w = i - -7289242.4800067. Let n = w - -0.52. Round n to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 1 + (-2 + 7)\/5. Let l be (4 + -2)*(-9 + s)*-120. Let r = -269 + l. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 234 = -198. Is 126\/13 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1110 - 2252*u - 1110.\nAnswer: -2252*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4342924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1164 + 2*x**3 - 1164.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 111121?\nAnswer: -111120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a hour in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 850982 to the power of 1\/2, to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*w**3\/4 - 18859191*w**2 + 52691724704007*w\/4 - 5854634215587\/2.\nAnswer: 3*(w - 1396977)**2*(9*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -6*p + 125. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 3. Let l be x(3). Suppose n = l*n - 46. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4027 to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -1. Suppose 20 = -3*q - 2*l, -1957*q + 1959*q = 4*l + 40. Solve 8*n + 5*z - 30 = 3*n, q = 5*n + z - h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 4*u**2 + 5*u + 5. Let f be r(-5). Suppose f*y - 9 = -34. Let q be (-23)\/4 - (-1)\/(-4). Is y at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 8*l**2 - 12*l - 4. Let j be z(-6). Let v be 0\/(5\/(5\/j)). Find the second derivative of 2*m + m**5 + v*m**5 + m - 6*m**5 wrt m.\nAnswer: -100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 4:59 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 95 + 2a?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j**2 + 55*j - 22. Let k be v(-13). What is the common denominator of -17\/18 and (-2)\/(-176)*k\/119?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1449*u = 3638*u + 3026*u - 23213 - 268827 for u.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0183407246 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 585\/(-65)*(-46)\/1035?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -177550 + -78?\nAnswer: -177638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1248, -1240, -1232, -1224?\n\"Answer: 8*h - 1256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446 - 8*y + 138 + 145 - 865 + 136.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -982 divided by -18759.\nAnswer: 982\/18759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 9 + 6 = 3*x, 14 = 2*s + 4*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3*i + 0 - 2\/3*i**4 - 8*i**2 + 4*i**3.\nAnswer: -2*i*(i - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -650 (base 8) in base 12?\nAnswer: -2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -620, -1257, -1930, -2657, -3456, -4345, -5342?\n\"Answer: -3*f**3 - 616*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g + 1 - g**3 - g**3 - 17*g + 11*g to the form h + p*g + c*g**2 + q*g**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -365313 + 88?\nAnswer: -365225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -1\/7, 0.36, -4, 1390, -0.7?\nAnswer: 1390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -3, 3, -2128, -1, -68 in ascending order.\nAnswer: -2128, -68, -5, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -4, -55, 3, -3, -2, -17 in descending order.\nAnswer: 3, -2, -3, -4, -17, -38, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2468*t*v - 90*t + 1 wrt v?\nAnswer: 2468*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39296 and -5?\nAnswer: 196480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l**2 + 12*l - 24. Determine w(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/22 and -61\/13559730.\nAnswer: 149157030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o - 12 = -27*o. Let m = -11 - -30. Let f(p) = p**3 - 2*p**2 + p + 2. Let b be f(2). Solve b*l = 2*g - 0*g + 6, -3*g = o*l + m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 5, -4*b + 1503 = 5*y - 1900. Is 44 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -9. Let q = -2 + 0. What is the third biggest value in -4, v, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(2\/7)\/(o**(-1\/4))**(11\/2)*((o**(2\/3)\/o)\/o)**(-50)\/(o\/o**6*(o\/o**1)\/o) assuming o is positive.\nAnswer: o**(12391\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -654, 17, -6, 79 in decreasing order.\nAnswer: 79, 17, 5, -6, -654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-nine quarters of a kilometer?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13, 5 in ascending order.\nAnswer: -13, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -135?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 10:19 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242.173*-0.5.\nAnswer: 121.0865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/(-24) + (-182)\/(-39) + (-2 - -1) + -4. Suppose 2*j + 2*c - 503 = c, -5*c - 257 = -j. Put m, 5, j in increasing order.\nAnswer: m, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 - 13*k**2 + 11*k - 39. Determine d(7).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87.1 - 87. What is the second smallest value in s, -0.024, 2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4 - 655*w**3 - 2*w**5 + 3*w**5 + 2*w**2 + 654*w**3 = 0. Calculate w.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/209 and -69\/646.\nAnswer: 7106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 109 = -v - 40, -2*v + 4*p + 144 = 0. Suppose -v = -643*m + 637*m. Solve 10*s = m*s - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1216102.\nAnswer: 2, 23, 26437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4)**(2\/9)*w**(-1\/12)\/w**13 assuming w is positive.\nAnswer: w**(-439\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40636, -81268, -121898, -162526, -203152, -243776, -284398?\nAnswer: -325018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -92*k**2 + 6*k + 290. Let v(d) = 93*d**2 - 8*d - 292. Let w(x) = -3*a(x) - 2*v(x). Differentiate w(b) with respect to b.\nAnswer: 180*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4775353 litres to millilitres.\nAnswer: 477.5353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 4)*(-i - 4 + 4)*(-i - 4*i + 4*i + (3 - 1 - 3)*(3*i - 2*i + i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhoahoazafif. What is prob of sequence hah?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 - 23*i. Let b(d) = 4*d + 1. Let y(g) = 4*b(g) - j(g). Let s(l) = -l. Calculate y(s(k)).\nAnswer: -3*k**2 - 39*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41837121 and 1665?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 9*(16\/12)\/4. Let m be 9\/s*(-78)\/(-9). Suppose m*j + 60 - 606 = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 - 5 + (1 - 3 + 4)*(0 + 3 - 5) - 4 - 2 - 1)*(3 + k**2 - 3).\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -13. Let d be (30\/(-9))\/2*h. Calculate the greatest common divisor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22*12\/(-53) + 5. Which is the second biggest value? (a) o (b) 0 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r**3 + 1 + 0*r**3 + 0)*(805*r - 1511*r + 853*r) - r**2 + r**4 + r**2 to the form o + a*r + g*r**2 + s*r**4 + y*r**3 and give s.\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + x - 4*x**3 + x + 1. Let o be c(1). Let g = 3 - o. Solve u + 4*p = 0, -3*p + g - 16 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmmmmmmummmmujm. Give prob of sequence jm.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 233 and 108811.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1023*h + 758*h - 2172*h - 671*h)*(0*h + h - 2*h).\nAnswer: 3108*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/(sqrt(36)\/sqrt(4)) - sqrt(10))\/(sqrt(96)\/sqrt(3)) + (sqrt(135)\/(2*sqrt(3)))\/(2*sqrt(81) + sqrt(9)))**2.\nAnswer: 5\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 297 = 6*m. Let h = 50 + m. Solve 2*l - h = -4*u - 16, -u - l = 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19.3 (b) 6\/7 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14451 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.5 - -15.3. Let d = -33 + 45. Let h = 12 - d. What is the nearest to p in h, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111011011 + 1110100111?\nAnswer: -1000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9*v**2 - 5*v - 3. Let f be b(-4). Let x be (-1 - 0) + f\/(-7). Let l = x - -103. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epteeohotntthptn. What is prob of sequence tpt?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 263\/9. Sort 0, 0.1, t in descending order.\nAnswer: t, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 17*c - 11. Let t be a(18). Suppose -5 = -5*o, 3*n - 5*o - t = -0*n. Suppose 6*m + n*m = 6910. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f = -7*f. Solve f - 1 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 62*x - 5*x + 48*x + 18*x + 28*x to g*x + q and give g.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17675 and 306030?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, -5, -4, 4 in ascending order.\nAnswer: -8, -5, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/5 + 6\/5*c**3 - 24\/5*c - 9\/5*c**2.\nAnswer: 3*(c - 3)*(c + 1)*(2*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - 8aa828?\nAnswer: -8aa839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 1. Let h = 35 - 19. Let m = h - 12. Let y(d) = -2*d**2 - 4*d - 4. Calculate m*t(c) - y(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3358)\/7)\/(30524\/3236). Let a = g + -2\/7631. Let d = a - -51. Sort 0.5, d, 0.3 in descending order.\nAnswer: 0.5, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h + 18 = 2*b - 32*h, 4*b + 2*h = 24. Do 4 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -232, -517, -920, -1441?\nAnswer: -2080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 43390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 156 and -0.01486?\nAnswer: -2.31816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*q - 78*q - 152 = 0. What is the remainder when q is divided by 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 310*i - 309*i - 5*k + 93, -3*k = 5*i + 297. Let q = -107 - -30. Let a = q + 15. Which is greater: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 5:24 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (23 - 37) - 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnmyyhyhhyyyyyny. What is prob of picking 1 h and 3 y?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3444 - 946 + 2028 + 2*w.\nAnswer: 2*w + 4526","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + x - 2*u - 33 = 0, 0 = 2*x + 5*u - 19. Let k(d) = -8*d. What is the lowest common multiple of x and k(-1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**2 - 4*v**2 + 15*v**3 + 1 + v**4 - 2 + 6*v**2 to r + q*v + a*v**2 + y*v**3 + t*v**4 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5 = 3*x, 4*x - 77 + 113 = -2*j. Let m = 10 + -7. What is the second biggest value in -5, x, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**2 - 17*t**2 - 3*t**2 + t**2.\nAnswer: -34*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 53*b. Let c(o) = -o**2 + 3*o. Let f(j) = -2*j**2 + 4*j. Let h(d) = 4*c(d) - 3*f(d). Determine h(k(u)).\nAnswer: 5618*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 292323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 49*g**2 - g - 51. Give s(-49).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(20)*-5 + (sqrt(980)*-2 - sqrt(980)))*-4)\/(4*(2*sqrt(256)*1 + sqrt(256) - sqrt(256) - sqrt(256))).\nAnswer: 11*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1919*w**3 + 6436*w**3 - 1102*w**3.\nAnswer: 7253*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20*12\/(-96)*-2*(-6)\/10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -1.488?\nAnswer: 1.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300513288.\nAnswer: 2, 3, 191, 65557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -496 divided by 496\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6d2 + 11?\nAnswer: 6e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -71298, 1\/3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -87171 divided by -12453?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 406*g**2 - 30986*g**3 + 440*g + 30*g**2 + 30982*g**3 = 0.\nAnswer: -1, 0, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 453*v. Let x(t) = 2*t**2. Calculate x(q(n)).\nAnswer: 410418*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 1. Let h(g) = 2*g**2 + 2. Let o(t) = 18*t**2 + t + 20. Let r(s) = -7*h(s) + o(s). Give -2*r(p) - 11*z(p).\nAnswer: 3*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 12*f - 38. Let a be d(-3). Let o = a + 78. Solve -7*i + o*i = -6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, x: 5}. What is prob of picking 4 x?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 339636 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = o + 9, -4*o + 7*l = 3*l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.175 + 26.775. Let o = -26.3 + g. What is the second smallest value in 5, o, 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u - 93. Give d(13).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3006*s - 56. Let h(l) = -3006*l - 48. Calculate -6*a(x) + 7*h(x).\nAnswer: -3006*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3295 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, w: 12}. Give prob of picking 3 w.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzllzzzzlllllzz. What is prob of picking 2 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 141.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 381295.4 hours?\nAnswer: 22877724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97*v - 1 - 3 + 139*v**2 + 0 + 121*v**2 wrt v.\nAnswer: 520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -8. Let c = -5 - b. Let p be (1\/(-3))\/(4\/3). What is the second biggest value in c, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 24*f**2 + f - 18. Let g be n(-24). Let v = 14 + g. Let i = v - -61. Calculate the highest common factor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3737 = -3*b, 5*b + s = 6*s + 6220. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 258, 1453, 3576, 6627?\n\"Answer: 464*a**2 - 197*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(405)*2*-6 + (1*sqrt(405) - sqrt(405)) + sqrt(405) + 0 + 4)**2.\nAnswer: -3168*sqrt(5) + 196084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 5*r + 25, 3*h + 11 = 5*r + 32 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2892, -2915, -2938, -2955, -2960?\nAnswer: -2947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n - 16. Let z be k(-9). Suppose -34*f + z*f = 36. Suppose -f*y + 273 + 69 = 0. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23\/3, -0.2, -3, 1\/3.\nAnswer: -3, -0.2, 1\/3, 23\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*f - 4 = 0, -2*p + f + 5 = -p. Solve 12 = 4*o - 2*r - 2*r, -p*o = -3*r - 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + z + 1. Suppose 0 = 3*b - 24 + 3. Suppose 4*p + 0*r = -3*r - b, 3*p = 3*r + 21. What is c(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 5*s - 4. Let a be u(-4). What is the third derivative of -2*f**6 + 2*f**2 - 2 + a + 2 wrt f?\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h + 2. Let j(b) = -b - 1. Determine -g(c) + 2*j(c).\nAnswer: -5*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - 12*y**2 - 7*y + 15. Let a(s) = s**3 - 10*s**2 + 20*s - 26. Let z be a(8). Determine k(z).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28.958 - -29. Round q to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) 1 (c) -2.6 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, e: 7, y: 4}. What is prob of sequence ey?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + v**2 - 3. Let x be s(0). Let p(l) = 3*l**2 + 7*l + 1. Let z be p(x). Suppose z*k - 510 = k. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/72*6)\/(-13 + 12)*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168 by -84.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/15 - (-17520)\/225 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 2. Suppose -3 + 7 = o. Suppose 2*y - 35 = 7*y + o*s, 2*y - 2*s = 4. Let t be 1 + (-6)\/(6\/y). What is p(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -148 + 152. Calculate the least common multiple of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 - -22302203020?\nAnswer: 22302203230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10083 = -4*h + 19875 + 10250. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 281, 1054, 2343, 4148?\n\"Answer: 258*v**2 - v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r**2 - 6*r + 5. Let b be g(1). Suppose -7*d = -b*d - 4. Solve 4*l = -4*w - 10 - 6, d*l = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.973 - -0.027. Let z = -8360\/21 - -398. Which is the nearest to r? (a) 2 (b) z (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22382775.\nAnswer: 3, 5, 31, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82123 is divided by 944.\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 114 - 825 = 0. Suppose 0*n - 3*n + v = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(11) - -2*sqrt(539)) + (sqrt(1584) - (sqrt(1584) - (0 + sqrt(1584))))**2).\nAnswer: 30*sqrt(11) + 3168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Suppose -52 = -4*l - l + u*r, l - 2 = -2*r. What is the remainder when l is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6773108 is divided by 216?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(500)*1*-1 - (sqrt(500) - (sqrt(500) + 1 + 3))**2 - (-1 + sqrt(500) + (-4 + sqrt(500) + sqrt(500)*1)**2)).\nAnswer: -2026 + 140*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 11*g**2 - g + 11. Let q be d(11). Let n(m) be the second derivative of q - 1\/6*m**3 + 3*m + 0*m**2. Let f(j) = -2*j**2. Give f(n(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7137*r*u**3 - 189*r*u**2 + 2300142*u**3 wrt r.\nAnswer: 7137*u**3 - 189*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1.3, -101\/5, -1 in descending order.\nAnswer: -1, -1.3, -3, -101\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gshh when four letters picked without replacement from {s: 3, u: 4, r: 2, h: 2, g: 1}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195101928.\nAnswer: 2, 3, 7, 17, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-120)\/(-16)*4\/3. Suppose o = 2*s + 16. Let k(b) = -b**2 + b + 1. Let v(p) = -4*p**2 + 4*p + 2. Let r = -4 + 5. Calculate r*v(l) + s*k(l).\nAnswer: -l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 30 = -4*d, 0*p + p + 5 = 2*d. Suppose -25 - 35 = -d*z. Suppose z + 10 = f. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 j when four letters picked without replacement from xjxxxxxx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159777 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.6219873 minutes in weeks?\nAnswer: 0.001847419375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3092375 and 5709?\nAnswer: 1903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 16011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(304) + 5 + 0 + 4 + (-3*sqrt(513)\/sqrt(9))\/sqrt(3).\nAnswer: sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328214541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 321, 631, 913, 1155, 1345, 1471, 1521, 1483?\n\"Answer: -2*j**3 - 2*j**2 + 330*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11159 is divided by 11158.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1154.778 decades?\nAnswer: 11547.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -11?\nAnswer: 34\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 2:00 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -14004*v - 280069. Calculate u(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + v**2 + 75*v + 19. Let i be 1 - (15 + 1) - (59 + -101 - -35). Determine p(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/188940 and 29\/636768?\nAnswer: 149640480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**3\/3 + g**2\/2 + 7*g - 3. What is the units digit of h(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 10*y**2 - 7*y - 16. Let z(j) = 6*j - 35. Let m be z(7). What is the units digit of h(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h. Let x(k) = -16*k. Give -3*s(v) - x(v).\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*x - 4*i, -4*x + 3*i = -2*x - 16. Calculate the remainder when 28 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11886 or 91496?\nAnswer: 91496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 60a0?\nAnswer: -609a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 smaller than 2168\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5657 + 3486*g**2 - 2*g**4 - 6757*g**2 + 33*g - 33*g wrt g.\nAnswer: -8*g**3 - 6542*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 - 1.49. Let k = i + 0.49. What is the nearest to 0.1 in k, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 25485 = 4*u - 5*i, -4*i + 8 = 0. Does 14 divide (u\/10)\/(15\/6 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 229888 and -0.3.\nAnswer: -68966.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 4*v - 2*v)*(0*v**4 + 2*v**4 - 5*v**4 - 9*v**4 + 7*v**3 - 7*v**3 + (-1 - 2 + 4)*(-v**3 + v**3 + v**4)).\nAnswer: 11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 26*w\/7 + 8\/7.\nAnswer: -(w + 4)*(7*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-2 + -4)) + -8 - -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8465283*j**2 + 15250159.\nAnswer: 16930566*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118640\/(-17796)*(6\/(-44))\/1?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (130\/15)\/13*(-18)\/192?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32536031 is divided by 7269?\nAnswer: 7256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/15 and 17\/945.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 7*g**5\/5 - g**2 + 6. What is the second derivative of o(h) wrt h?\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 0, -2, 36, 11, 0.2, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Which is the third smallest value? (a) -1\/3 (b) r (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(75) - (-3*(sqrt(75) + 0 - sqrt(75) - sqrt(75)) + sqrt(75))) + sqrt(75))**2 + sqrt(75) - ((1 + sqrt(3))*-2 + -1*sqrt(192))).\nAnswer: 15*sqrt(3) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + h + 41. Calculate the remainder when 162 is divided by t(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.7 and -5434 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001172751 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*y + 1 = 0, -4*f + 11 = -3*y + 26 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i + 2. Let x be t(-6). Suppose 6*j = -7 - 11. Let n be (-6)\/(j + 6\/4). Solve -x - 8 = -2*b - 3*u, 0 = 3*b + n*u - 31 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3380436 + 5648436. Round b to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*4\/(0 + 16) - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375973507?\nAnswer: 7, 13, 4131577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2 + 101*b - 592. Give m(26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 0.1, -9, -0.06, -1\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8757 divided by 3?\nAnswer: 2919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (610 - 612) + 0 + 0 + 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 12460?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**3\/3 - 4*v**2 - 7*v + 5. Let x be r(7). Sort 2, 0, x in decreasing order.\nAnswer: 2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**3\/b*b*b)\/b)\/(b*b**(-1\/2)*b))\/((b*b*b**3*b)\/(b\/(b*b**4))) assuming b is positive.\nAnswer: b**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -2\/17, -843\/4, -14\/3, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 3*w**2 + 3*w**2)*(1 + 0 + 1) + 2*w**2 + 83 - 83 + (-4 + 6 + 0)*(0*w + 0*w + 2*w**2).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3966860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16650 and 63.\nAnswer: 116550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 7) to base 16.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 = 2*c - 4*c, -25 = 5*c. Suppose -2*d + u*t = -82, 5*d + 3*t = 79 + 95. Is 36 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1. Let t = 1 + v. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 12*u - 6. Let b be g(7). Let h(d) = -3*d + 23. Let s be h(0). Suppose -b + s = -5*k. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -389, -479, -569?\n\"Answer: -90*p - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 8*j**2 + 16*j - 21. Let z be k(6). Differentiate -27*g**2 - 37 - 10*g**3 + 102*g**2 + 36*g**z - 38*g**2 - 39*g**2 with respect to g.\nAnswer: 78*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(2057)*3 + sqrt(2057))**2.\nAnswer: -176*sqrt(17) + 32916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, h: 1, w: 2, b: 2, o: 2, n: 1}. What is prob of sequence bn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147167.55 nanoseconds to minutes.\nAnswer: 0.0000024527925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101604623 to the nearest integer?\nAnswer: 10080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 490\/(-180)*-6*-21*(-126)\/686.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (13 - (-18 - -20)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1479*h + 1496*h = 7718832 + 310591. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 4*i + 7. Let h be a(5). Let w(k) = -k**3 + 5*k + 2. Let y be w(-3). Suppose 4*g - y = -h. Solve -g*c + 2*c - 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 141329080 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1007 - 980 - 3*m + 2021)*(-2*m**2 + 3*m - 3*m) + (m**2 - m**3 - m**2)*(-5 + 1 - 2).\nAnswer: 12*m**3 - 68*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 85. Suppose 3*q - 14 = s. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 37. Let l be a(-8). Is (-1719)\/l + -1 + (-2)\/(-14) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8342754 is divided by 3926?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182*n**5 + n**4 - 82*n**3 + 7399*n**2 - 29*n?\nAnswer: -10920*n**2 + 24*n - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -13*y - 30*y**2 + 2*y**3 + 12*y**2 + 14 + 11*y**2. Let n be q(6). Let p = n + -84. What is the biggest value in 5, p, -1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 394773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 82310519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -129\/10, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7323, -7322, -7321?\nAnswer: -7320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 - 6*u**2 + 17*u - 143. Let c = 417 - 411. Is y(c) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 4 (c) 0.213 (d) -2\/3 (e) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - 2*d**2 - 2*d. Let u(o) = -9*o**3 + 11*o**2 + 11*o. Give -33*r(h) - 6*u(h).\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 435 - 209.66.\nAnswer: 225.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 6*g - g - 30, 0 = 2*j - 4*g + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (33 - (18 - (-14 + 22)) - 16) + 58?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 1:17 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7762 - -7766. Solve 4 = g*p + 6*o - 4*o, 0 = -4*p - 4*o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 4. Let o(b) = -3*b**3 + b**2 + b + 1. Let k be o(u). Suppose 7 = k*t - 53. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6 = -0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 82386063.9 milliseconds?\nAnswer: 0.13622034375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -85*d**3 + 155*d**3 - 187*d**3 + (3*d - d + 3*d)*(0*d**2 - d**2 + 3*d**2).\nAnswer: -107*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*n = -77*n + 360. Suppose x = -5*k + 31, -5*k = -x - 3*k + 38. Calculate the highest common divisor of n and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -767*v. Let y(r) = -255*r. Give -2*p(t) + 7*y(t).\nAnswer: -251*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5248280 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**3\/3 + 2. Suppose 0 = -6*b + 2*b + 108. Let v(k) = -20*k + b + 36 - 63. Calculate v(r(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, 29895, -2 in increasing order.\nAnswer: -2, 88, 29895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.77 + -5.66. What is k rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1571, 960, 375, -172, -669, -1104?\n\"Answer: 2*i**3 + i**2 - 628*i + 2196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p + 4. Let k(q) = 5*q + 7. Let m(g) = -4*k(g) + 7*l(g). Let n(v) = -5*v - 15. Let r(u) = -6*m(u) - n(u). Let o be r(13). Sort -1\/3, o, 1\/5.\nAnswer: -1\/3, 1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 48*t**2 + 594*t. Let n(h) = -41*h**2 - 594*h. Calculate 6*n(c) + 5*u(c).\nAnswer: -6*c**2 - 594*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3, t - i + 3 = -0*i. Solve -q + 6*q + 2*w - 1 = 0, t = -2*q - 4*w - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 680, 1358, 2038, 2720, 3404, 4090, 4778?\n\"Answer: c**2 + 675*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -46743*c. Let a(s) = -s**2. Calculate d(a(n)).\nAnswer: 46743*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 14*f - 1. Let b(u) = u**2 + 2*u - 1. What is 4*b(j) - 2*h(j)?\nAnswer: 2*j**2 + 36*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 54a9885?\nAnswer: -54a9884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*h**2 + 15 - 157*h**2 - 14.\nAnswer: -230*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108 + 220. Let n(g) = g**3 - 5*g**2 - 5*g + 8. Let b be n(6). Calculate the greatest common divisor of b and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221011202 + 20210?\nAnswer: -220220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4431542089\/1329 - -3334494. Let q = -2\/443 - o. Suppose -5 = 2*m + 13. Is q equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dadvvddbkgadb. Give prob of picking 1 a, 1 v, and 1 g.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 10*d. Determine o(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11628)\/3496)\/153*1.\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*y + 520 = 0, 0*v - 3*y = 4*v + 402. Calculate the smallest common multiple of (-12)\/(-153)*636 - 12\/v and 125.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10313 (base 4) to base 9\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -88\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145700 and 868?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 84 = 3*b. Differentiate b + 4 + 508*q - 521*q wrt q.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 times 7\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -457*u**2 - 201*u**2 + 1287*u**4 + 27*u**4 + 148*u**2 wrt u?\nAnswer: 31536*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17005527*f**2 - 17005519*f**2 + 34011055*f**2.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 4*o - 1\/20*o**5 + 0 + 1\/6*o**3 - o**2 - 1\/3*o**4. Let r be n(-5). Solve -2*p + 5*p - 3*x = r, 5*p - 3*x = 28 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**3 - 8*d**2 - 8*d + 11. Let j(w) = w**2 + w - 1. Let m(k) = -6*j(k) - o(k). Find the second derivative of m(z) wrt z.\nAnswer: 30*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -3)\/11*2. Let d = -6387 + 6391. Let u(j) = j**3 - 6*j**2 - j + 3. Let h be u(6). Which is the smallest value? (a) h (b) d (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 7. Let h = 94 - 100. Let c be (-92)\/h + 3*(-1)\/9. Solve 2*j + z = 5*s - 2*s, j + 3*s - c = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7283 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -13*y**2 - 7. Let v = -21 + 14. Let f(n) = -7*n**2 - 4. Let r(w) = v*f(w) + 4*h(w). Let g(k) = k. Determine r(g(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**(-14)*q\/(q*q**(28\/9)*q) assuming q is positive.\nAnswer: q**(107\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2605 from -0.9.\nAnswer: -1.1605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -19*k**4\/6 + 43*k**3\/3 + k**2. Let g(d) = -378*d + 429. Let z(q) = -2*g(q) + 11*n(q). Differentiate z(u) wrt u.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 9*u - 48 - 5*u + 5*u - u - 7*u. Determine s(46).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -4. Let o be (-4 - -4)\/(2 + t). Solve -3*w + o = 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - b - 640. Let t = b + -129. Let v(w) = -14*w - 1. What is v(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -0.7. Let u(t) = 50*t**3 - t**2 + 1. Let q be u(1). Let h be (8\/14)\/(q\/35). Which is the biggest value? (a) 1 (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 7*f**5 + 12*f**4 - 9*f**3 + 12*f**3 + f - 2*f**2 = 0 for f.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k**3 - 492 + k**2 + 492)*((-2 + 3 - 3)*(2*k - 7*k + 3*k) - k + 2 - 2 + k + 2 - k + 3*k) to the form g*k**2 + q*k + j + l*k**4 + f*k**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 44 - (1 + 1 + -2 + -12)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r**3 + 9*r**2 - 3*r - 3. Let b(k) = 8*k**3 + 8*k**2 - 3*k - 3. Let o(m) = 6*b(m) - 5*q(m). What is t in o(t) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - t - 27403 = -4*c, 3*c + t - 41117 = 0. Suppose 12*i + c = 343704. What is i rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6197 + -6002. Calculate the highest common divisor of 135 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*i + 13*i + 0*i)*(4*i + 2*i - 5*i) to the form t*i + k*i**2 + r and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3034*h**3 - 1656*h*p**3 + 4*p**3 - 2358*p**2 - 68*p + 5 wrt h.\nAnswer: 9102*h**2 - 1656*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 0, -8\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35598475 a multiple of 1752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o**3 - 40*o**2 - 72*o + 160 = 0.\nAnswer: -2, 2, 20\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) 1\/14 (b) -1 (c) -7\/1994\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 191*j + 493. Give g(-3).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 equal to 83\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2493882?\nAnswer: 2, 3, 46183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -58?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - 21707?\nAnswer: -21716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 3 = 5*f. Suppose -2*l - 3 = 5. Let a = l - f. Which is greater: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003777349 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729807 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 42 = -8*s + 5*s, -5*s - 13 = r - 34 - 65 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 65047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + f + 3*f)*(5*f - 2*f + 0*f) + f**2 + 4*f**2 - 4*f**2 + (3*f**2 + f**2 - f**2)*(2 + 1 - 4).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1022111?\nAnswer: 1022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*y + a + 1493010 = 101*y, 2*a - 1194422 = -4*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 65*t**3\/3 + 5*t**2\/2 - 976*t + 531. Find the first derivative of a(w) wrt w.\nAnswer: 130*w + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 302037552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k + 205 = 3*o - 23*k, -2*o - 5*k - 22 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r + 37*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, 81420 in descending order.\nAnswer: 81420, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**5\/20 - 11*s**3\/3 + s**2 - 1. Let k be m(3). Solve b - 2 = -b, b = 2*y - k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219910?\nAnswer: 2, 5, 21991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 23 = 3. Let y = 13460.7 - 13458. What is the smallest value in 1\/6, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 22940*n + 22944.\nAnswer: -4*(n - 5736)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/18 + (-677)\/(-6) is divided by 42?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49374, 49964, 51554, 54642, 59726, 67304, 77874?\n\"Answer: 83*l**3 + 2*l**2 + 3*l + 49286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h + 25. Let t = -7 - 4. Let x be p(t). Let -448*v**x - 1408*v**2 - 1361*v + 547*v**5 - 68*v**4 - 687*v - 1024 - 551*v**5 = 0. Calculate v.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/10 + (-563154)\/19970\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than -1793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 9 = 5*r, -3*w = -4*r - 2*w + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rggrgggr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 87.74935ug?\nAnswer: 0.08774935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 413*o**2 - 66494*o + 116. Give a(161).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -3*l + 6*r, -2*l + 22*r + 20*r - 37*r - 39 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - -1. Let m(w) = w + 2. Let u be m(3). Suppose -3*l + 48 = -o + 4*o, -u*l + 3*o = -80. What is the least common multiple of q and l?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 442837075 to the nearest integer?\nAnswer: 21044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 5) + -1 - (-36 - -33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27818 divided by 22\nAnswer: -13909\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -0.25, 0.01, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97945 divided by 19589.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 5*r**2 - 3*r + 5. Suppose 0 = 12*g - 10*g + 8. Determine m(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.5524, -31 in descending order.\nAnswer: 0, -0.5524, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 y when three letters picked without replacement from ggggggggggygg.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005665 rounded to 6 decimal places?\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 101a661 (base 12) to base 8\nAnswer: 13424051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 54 (b) -670293 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 146 + 1739*y - 5723*y + 205 - 351 to the form g*y + v and give g.\nAnswer: -3984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -17252?\nAnswer: -17252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 176\/9 bigger than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j = 3*a - 27, a - 5*j - 20 = 0. Let l(i) = 11*i - 2. Let q be l(2). Suppose 0 = -a*z + q, 4*g - z - 84 = -0*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2217625, 4435250, 6652867, 8870476, 11088077, 13305670, 15523255?\n\"Answer: -4*i**2 + 2217637*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 77, 99, 121, 143?\n\"Answer: 22*q + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + 2 + sqrt(17) + ((1 + sqrt(17))*-3)**2.\nAnswer: 21*sqrt(17) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-60) + (-1622)\/(-5). Let u = a - 324. Put u, -2, 5, 30 in descending order.\nAnswer: 30, 5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, j: 5, k: 2, d: 3}. What is prob of sequence ii?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -278 + 468. Let n be (-8)\/(-32) - p\/(-8). Solve -n = -5*q + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01434 - -0.29644. Let j = f + -0.264. What is j rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 1. Suppose 2*b + 23 = 3*a - 2*b, -a - 2*b = -g. Let r(y) = -2*y**2 - a + 6 + 7. Let p(x) = -x. What is p(r(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 22 + 20)*(4792 + 186*d - 4792) in the form w + t*d and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 4*z**2 + 2*z + 4. Let b(a) = 2*a + 1. Let y be b(3). Suppose y*r + 2*c = 2*r + 17, 5 = 2*r - c. Let m be d(r). Solve -5*s + m = -4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4 = 3*b + 2*i, -i + 10 = -5*b. Let m = b - -15. Calculate the remainder when 23 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -38, -17, 4, 25, 46?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -53. Suppose -h = -5*a - 2*h + 15, 0 = -2*a - 4*h + 24. Sort 5, w, -3, a.\nAnswer: w, -3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 132414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 6561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2\/125 of a meter?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13161*o + 27 - 10 = 13167*o - h, -3*o - 52 = 5*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.77 - -0.23. Let z = 12 - l. Which is the smallest value? (a) -5 (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**2 + 0*v**2 - 4*v**2 + (1 - 2*v**2 - 1)*(3 - 3 + 1) + (-3 - 1 + 2)*(-2*v**2 + v**2 + 4*v**2) + 2*v**2 + 3*v - 3*v - 34*v**2 - 28*v**2 + 21*v**2.\nAnswer: -46*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 2*x - 19, 0 = a + x - 16911 + 16934 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 3:41 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -655 - -3273\/5. Let n = 13136\/15 + -4092\/5. Let s = n + -58. Which is the nearest to k? (a) -6 (b) s (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (4 - 3 - 0). Suppose -a*l + i = 5*i + 34, 2*l = -4*i - 16. What is the tens digit of 218\/6 - (-2)\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82268 and 471.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + z**2 + z - 1. Let t(o) = 6*o**3 + 3*o**2 + 5*o + 9. Let v(b) = 5*c(b) + t(b). What is the remainder when 47 is divided by v(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.155 - 0.224. Let h = o - -0.269. Which is the third smallest value? (a) h (b) -0.06 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, d: 4, r: 1}. What is prob of picking 1 r and 2 d?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-28 + 15 + 21)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 + 22*a**2 - 6. Let h be n(-11). What is the remainder when 29 is divided by 1 - (-17 + h + 9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1 - (45 + 1)). Let h = -47 + r. Let a(y) = 0*y**2 + 1 + 2 - y**2. What is a(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 978882 is divided by 1268.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3628 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpz when three letters picked without replacement from zqzqqpqqqqzqz.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236 divided by -150.\nAnswer: -118\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 4, 5\/18, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139330254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 636*x - 7015. Calculate d(9).\nAnswer: -1291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, l: 2, h: 1}. What is prob of sequence llha?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 23232135 (base 6) to base 15\nAnswer: e33eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 27 = -1 + 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - q + 8 + 6, -5*b - 2*q = -55. Suppose -5*u - b = 3*m, -5*u - 2*m - 23 = -6*m. Let z = u + 7. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 189*k + 4058. What is f(-19)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - q**2 + q. Let j = 16660 + -16665. Let h(g) = g**3 + 5*g**2 - 2*g. What is j*i(z) - h(z)?\nAnswer: -6*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -15, -14, -2\/9, -0.08, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66644760*b**3 - 2*b**2 - 1881*b - 417 wrt b?\nAnswer: 399868560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 2 (b) -7 (c) -1\/3 (d) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 530255 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 3:52 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(3*(-2)\/(-308955)). Let p = q - 515955. Round p to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.01499425 rounded to one dp?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70677, -3\/11, -91.\nAnswer: -70677, -91, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-910)\/390 + 50\/6. Suppose -3 - 2 = r. Let z = 8 + r. Solve -f*s + 15 = -z*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7272652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 5*n**2 - 25*n - 10. Let f be h(-8). Put f, -4, 5, 37 in ascending order.\nAnswer: -4, f, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-88)\/(-12)*3\/2. Let t = l - 19. Calculate the common denominator of (-1)\/(-3) - 22\/t and -103\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 19 + -5 + -10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 8*c + 105 = 0. What is the greatest common factor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03491 from -1869656.\nAnswer: -1869656.03491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165 + 164. Let j be 4\/80*28 + (s - 0). Let q(o) = o**3 + 2*o - 1. Let w be q(1). Which is the closest to 2\/3? (a) w (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (32 - (-666)\/(-37))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 + -0.96. What is the second smallest value in t, -1\/3, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 157, 6 in decreasing order.\nAnswer: 157, 6, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.1 in 12.28, -3, -5, 1\/7?\nAnswer: 12.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3495, -3489, -3481, -3471?\n\"Answer: x**2 + 3*x - 3499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 - 56056?\nAnswer: -56123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 845539280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/(-67)*(-4)\/14*56\/(-48)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5609\/12181 + -1\/937. Let r(d) = -d**2 - 13*d + 30. Let x be r(-15). Which is smaller: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*m + 143*m + 250*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 35303\/(-129) + (-14)\/6. Let w = 289 + s. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 - 3. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 3381214*p**2 + 23668535*p - 40574652.\nAnswer: -(p - 4)*(p - 3)*(p + 3381221)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3 = -4*s - 1, -5*s = -5*c - 35. Differentiate 0 + 3 - 4*m**s + 3*m**3 + 3*m**3 with respect to m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (19\/(-6))\/((-1)\/(-7)) and 1686\/(-144) - 4\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + f)*(-4 + 2*f + 4)*(-8*f + f - 4*f + 1) to s*f + n + z*f**2 + g*f**3 and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 551551.5 litres?\nAnswer: 551551500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 2}. Give prob of sequence ww.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Let x = 1.4 - 3.6. Let a = x + m. What is the nearest to -1 in a, -3\/5, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 85*r**2 + 8*r + 282. Let u(c) = -57*c**2 - 5*c - 188. Let y(d) = -5*q(d) - 8*u(d). Differentiate y(s) wrt s.\nAnswer: 62*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f8d2b2 - 3?\nAnswer: f8d2af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 6*q - 12*q**2 - q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 2*c + 2. Let l = -63 + 52. Let r(h) = h**3 - 6*h**2 + 10*h + 10. Let q(u) = l*v(u) + 2*r(u). Is q(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 34. Let l be (-3)\/m*(1 - 0 - -1). Put -5, 14, l in descending order.\nAnswer: 14, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388916 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*g - 153 + 38*g + 153.\nAnswer: -229*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54100936?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**3 - 4*n**3 + 2*n**3 + (-11 - 5 - 7)*(4 + 0 - 1)*(n**3 + 2*n**2 - 2*n**2) to f*n + c*n**2 + r + q*n**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c - 5. Let l(k) = 9*k - 11. Suppose 2*m - 57*i + 59*i = 0, -4*i = -m - 10. Determine m*l(v) + 5*p(v).\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 3. Let z be h(-3). Suppose 5*s - 5*q - 19 = z, -4*s + 5 = -q. Which is the nearest to s? (a) 0.9 (b) 5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -46*((-5)\/10 + 0). Suppose 22*k = y*k - 1481. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 5*q + 3. Let c(k) = k + 1. Let i be c(-7). Let w be u(i). Suppose -w = -5*n + 1. What is the lowest common multiple of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - -30?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1604 and 17618.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 266409, 532812, 799213, 1065612, 1332009, 1598404, 1864797?\n\"Answer: -h**2 + 266406*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16337 - 3762. List the prime factors of m.\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23a0 (base 11) to base 2.\nAnswer: 110000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1071\/(-255)*(-30)\/9. Sort 16, -5, q in descending order.\nAnswer: 16, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1834168 divided by -18716.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2*-248\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312, -330, -368, -432, -528, -662, -840?\nAnswer: -1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 + 26 = -4*j. Suppose 4*l + 355 = -3*v, -l = -3*v + 42 + j. Let b = l - -159. Calculate the highest common factor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2411055 by 9.\nAnswer: -267895","meta":{"dup_signals":{},"source":"arithmetic__div_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: Which is smaller: 5932460 or 29662302\/5?\nAnswer: 5932460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 7*c. Let z(g) = -5*g - 2. Let l be z(-5). Let j = l + -24. Let n(p) = -p**2 - 1. Let q(f) = j*v(f) - 3*n(f). Give q(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8550 and 3800.\nAnswer: 34200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -91, 22, 241, 566, 997?\nAnswer: 1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -1. Suppose n*l = 4 + 2. Calculate the greatest common factor of 6 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1972438 and 4.\nAnswer: 7889752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eezuzzzze. Give prob of sequence zz.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36 - (13 + -2 + -6). Let h be 4\/6*102\/4. Let s = h + u. What is the greatest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3412 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179944.7 weeks to microseconds.\nAnswer: 108830554560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -c51a1 (base 13) to base 9\nAnswer: -588552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25615.75 - 25616. What is the biggest value in 4\/3, w, -1.9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -562\/3 - -188. Let n = 6.8 - -0.2. Let c = n + 2. Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 769548388.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 + 40 + (6 - -103)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 2\/43 (b) 1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*g - 15*c, 0 = -56*g + 58*g - 2*c + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 0 + sqrt(80))**2 - sqrt(5)) + sqrt(5) + (4*(sqrt(5) - sqrt(80)))**2 + sqrt(5).\nAnswer: sqrt(5) + 1040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z. Let l(r) = -r. Let u(y) = -y. Let o(t) = 4*l(t) - 3*u(t). Suppose 3*g + 3 = 3*k, 4*g = k - 4*k - 25. Give g*s(q) + 18*o(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 453585 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1422 + 235843.\nAnswer: 237265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.2546.\nAnswer: 0.1273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*z + 155 + 81*z - 45.\nAnswer: 2*z + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.069 + -0.269. Put 3\/8, d, -4, -19 in descending order.\nAnswer: 3\/8, d, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111 - 112. Which is the closest to 1\/8? (a) y (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**5 - 1896*r**4 + 447450*r**3 + 902500*r**2 = 0. Calculate r.\nAnswer: -2, 0, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 0.08, -5\/6, -0.1, -72, -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0042341 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38400250, -38400248, -38400246?\n\"Answer: 2*j - 38400252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 87, 89, 91, 93, 95?\n\"Answer: 2*j + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/85878 and 79\/34498.\nAnswer: 4036266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 15) in base 5?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 23*l**2 - 216*l + 201. Give k(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -2 (b) 22 (c) 4 (d) -1\/1416\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2230*d**3 + 543*d**3 + 557*d**3 + 517*d**3 + 548*d**3.\nAnswer: -65*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + v**2 + 3*v**2)*(0*v**2 + 0*v**2 + 3*v**2)*(-17*v - 3*v + 8*v)*(-2 + 2 - 3).\nAnswer: -108*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/2 - 231948*z - 463895\/2 = 0. Calculate z.\nAnswer: -463895, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -73849512 divided by 1797?\nAnswer: -41096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32000 and 14528.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -8156.\nAnswer: -1631.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2346 divided by -2346?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56229 is divided by 56162?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264976.\nAnswer: 2, 16561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*k**(3\/28)*k)\/k*k*k*k))\/(k*k*k**(1\/3)))**(-14))**(-12\/13) assuming k is positive.\nAnswer: k**(-914\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 - -576048?\nAnswer: 576252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u - 14 = -2*j, -u + j + 3 = 0. Suppose -2*o + 5*o + u = 4*q, 4 = -3*q + 4*o. What is the units digit of 69\/9 + q\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*k**2 + 140*k**2 - 49*k**3.\nAnswer: -49*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77*k**5 + 3*k**4 + 21*k**2 - 2*k + 6346 wrt k?\nAnswer: 1540*k**3 + 36*k**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15525 is divided by 14963?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100110110101000011001 + 111?\nAnswer: -11100110110101000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145710669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 6*l + 4. What is the units digit of d(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, -1\/3 in increasing order.\nAnswer: -5, -1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -501, 2\/3, -0.5 in descending order.\nAnswer: 3, 2\/3, -0.5, -2, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 535057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*u**3\/15 - 326*u**2\/15 + 64*u\/3 + 8\/15 = 0. What is u?\nAnswer: -1\/41, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3701055, 7402251, 11103451, 14804655, 18505863, 22207075, 25908291?\nAnswer: 29609511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.719521 millilitres in litres?\nAnswer: 0.004719521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m - 4004 = m. Let i be 66\/m + (-48)\/(-14). Solve 7*c + 11 + i = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3.5088. What is f rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2507\/(-345))\/(2\/5) and 22\/93.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2. Let z(m) = 6*m + 7. Let a(t) be the third derivative of -t**4\/24 - t**3\/6 + 4*t**2. Let b(f) = -14*a(f) - 2*z(f). What is b(w(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*i + 5. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 7302 + 2*o**2 - 6*o**2 - 7302.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 5\/6*q**4 + 1\/2*q**3 + 0 + 16*q - 3\/2*q**2. Is g(3) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + -14.8. Let w = f - 9. Let j = 23 + w. Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*l + 2*l = -14, 3*x + 2*l = 16. Suppose -15*n + 119 = x*n. Solve 20 = n*i - 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56443472?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-32))\/(4 - 3). Sort 2, -0.1, p, -0.2.\nAnswer: -0.2, p, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 552 (base 6) to base 15\nAnswer: e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527465 is divided by 105490.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.37 from -3085.\nAnswer: -3083.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3.189922kg?\nAnswer: 3189922000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 23*y - 100. Let d(s) = 25*s - 150. Let o(h) = 2*d(h) - 3*m(h). Let i(c) be the second derivative of -3*c**3\/2 - 4*c. Determine o(i(k)).\nAnswer: 171*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*m - 5, -l - 3*l + 10 = 3*m. Solve 4*x - 12 = 4*k, 0 = m*k + 3*k + 25 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r = 4*p + 4, -5*r + 4 = -4*p. Let a(w) = 1 - w - 7 + 3*w. Let u be a(6). Solve 11*i - u*i - 25 = r for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 12:14 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 500 (b) -2 (c) 3\/4 (d) -0.3 (e) 4 (f) -324\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 1120649171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -157.013 times 14.42?\nAnswer: -2264.12746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18260 divided by -1031?\nAnswer: -18260\/1031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -246368591 and 2.\nAnswer: -246368589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 7179.829 to the nearest ten.\nAnswer: 7180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 2025.671\nAnswer: -1012.8355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2. Let w(f) = f - 1966. Calculate t(w(q)).\nAnswer: 2*q**2 - 7864*q + 7730312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:48 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 + t. Suppose -9 = k - q - q, k - q + 6 = 0. Let p be f(k). Let d = p + 32. Is d a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - 1) + -3)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 14. Let s be (-5 + 11)\/(i + 1). What is the second derivative of h**3 + s*h**3 - 3*h - 5*h**3 wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 156516*c**6 + 22*c**4 - 4875*c**2 - 61 wrt c?\nAnswer: 18781920*c**3 + 528*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 11 = k, -35 = -4*g - g - 5*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42069?\nAnswer: 3, 37, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36210 and 2130.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - -6)*(2\/(-9) + 208125\/162).\nAnswer: 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -167.7381?\nAnswer: -50.32143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.76 and 1.483?\nAnswer: 4.09308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9431725?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 - -0.02. Let w = -46656 - -6765082\/145. Let h = -4\/29 + w. Which is smaller: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Suppose -2*j + 22 = -4*r - 0, b*j = -2*r + 34. Solve -2*c = 3*c - j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(171)*3 + sqrt(171))*1 + 5 - ((-1*((sqrt(171) + -1)*2 + sqrt(171)))**2 + 1).\nAnswer: -1536 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118728.00078911 - -118728. What is o rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*o**5 + 39*o**4 - 39*o**4 + (4*o**3 - 2*o**3 - o**3)*(-4*o**2 + 2*o**2 + 0*o**2))*(-4 + 3 + 2).\nAnswer: 35*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -535.8385 - -536. Let i = -0.114 + u. Round i to three dps.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0781 + 0.0781. What is the smallest value in p, -23, -1, -2\/9, 0.3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -25145532 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 9, f: 7, b: 2}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {d: 1, n: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52*(12\/54 - 1\/(-36))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19, -0.5, 4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 7 = 3*f - 5*o, 0 = -3*o + 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 7*l**2 + 20*l + 18. What is x(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*s - 2. Suppose 0*j + s*j = -4. Let k be 340\/14 - j\/(-7). What is the highest common factor of k and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48103.\nAnswer: 11, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1936238\/75 - -25817. Let n = 4\/25 - a. Let t = -93 + 95. What is the nearest to t in n, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -95*1\/(-5) + 0 + 6. Solve 0 = -51*l + 56*l - v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -45*a**5 - 22632*a**4 - 307686*a**3 - 530052*a**2 - 227349*a + 17604 = 0?\nAnswer: -489, -12, -1, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 = 4*o + 33*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30 and -1806265?\nAnswer: -54187950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 3. Let u be d(0). Suppose -2*w - 1 = 5*p - 13, -2 = -u*p + 4*w. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 4081922?\nAnswer: 4081925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 2)*(-1027*v**5 - 2 + 2 - 2489*v**5 - 11768*v**5).\nAnswer: -45852*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*y - 100 = 63*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*f*x**3 - 3*f*x**2 - 4*f*x + 24*f + 2*x**3 - x**2 - x - 2 wrt x.\nAnswer: -168*f*x - 6*f + 12*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -980 + 5?\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -46*u**2 + 4*u + 10. Let a = 31 + -34. Let t be c(a). Let j be (0 - 2)*(6 + t). Round j to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 195\/158362?\nAnswer: 195\/158362","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/91749 and 80\/51.\nAnswer: 91749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2185?\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14*(-3 - (6 - 7)). Is (-917)\/(d\/(-4))*-11 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 6*d + 10. Let n be p(-5). Which is the closest to 1? (a) -4 (b) n (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*6477008.\nAnswer: -1943102.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3003772, -3003552, -3003330, -3003106?\nAnswer: -3002880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/((-16)\/(-12)) - -119. Suppose 5*p - 19 = b. Calculate the greatest common factor of p and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1129*t**3 - 2 + 8 - 6 + 736*t**3 + 1517*t**3.\nAnswer: 3382*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**6\/30 - o**5\/20 + o**4\/12 - o**3\/3 + 769*o**2. Let k(j) = 5*j**3 - 4*j**2 + 3*j - 1. What is 4*h(q) - 3*k(q)?\nAnswer: q**3 - q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*(29040\/1860012)\/((-2)\/(-21)).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2 - 10*f = 0. Calculate f.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/353360 and -61\/44.\nAnswer: 3886960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r = 0. Let o(w) = 6 + w**3 - 2 + 14*w**2 - w - 3 + 4. Let v be o(-14). Solve 5*m + 4*i - v = r, m = -4*i + i + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -60914*v - 693. Let w(d) = 1965*d + 22. Give 2*h(j) + 63*w(j).\nAnswer: 1967*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-8))\/(51\/(-48) - -1). Is -19 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20674855?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1332175.\nAnswer: 5, 13, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 12133 - 12570 - 3*b.\nAnswer: -4*b - 437","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**3*k**2 + 13*c**3*k - 2*c**2*k**2 - 2*c*k**2 - 16 wrt c?\nAnswer: 24*c*k**2 + 78*c*k - 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 880 and 35120?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -0.3, 4004, 11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 812.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(0*f**4 + 0*f**4 + 2*f**4) + 6*f**4 + f - f + (f**2 - 3*f**2 + 3*f**2)*(-4*f**2 + 5 - 5) + 18*f**4 + 9*f**4 + f**4.\nAnswer: 34*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 136 - 191 = -4*m, -u - 3 = 0. Let s be (3 - (3 + -1))\/(3\/m). Suppose -18*p + 4*p**2 - 17*p + s*p = 0. What is p?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4528 or 0?\nAnswer: -1\/4528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 895*y**2 + 73*y**3 - 43 - 898*y**2 + 6*y. Is h(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-98)\/(-35))\/(2\/5). Let a(j) = -3*j + 7. Let c(r) = -2*r + 5. Determine v*c(w) - 5*a(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 49 = 7. Suppose p + 0 = 2*s + 12, 0 = 2*p + 4*s - 40. Suppose 3*l = p*l. Solve q - 5*o - k = l, -5*q + 5*o + 15 = -10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56.304785 + 850.308815. Let u = -794 + d. What is u rounded to 4 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, x: 2, d: 3, q: 7}. What is prob of picking 1 k, 1 q, and 1 d?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7156*w**2 + 4 - 4 + 7175*w**2.\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7102 divided by 1765.\nAnswer: -7102\/1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 3 + 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 162\/15*200\/(-180)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 12067*u**2. Let k(o) = 7*o - 19. What is k(l(p))?\nAnswer: 84469*p**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 - 80.4. Let i = -0.54 - 0.06. Which is the second biggest value? (a) 1 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**4\/3 - 38*m**3\/3 + 76*m**2 + 2552*m\/3 + 3872\/3 = 0.\nAnswer: -4, -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 48*s + 443. Let a be k(-20). Which is bigger: a or -118?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3684)\/(-2))\/1 + (-56 - -57).\nAnswer: 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2838, 2841, 2846, 2853, 2862, 2873, 2886?\nAnswer: 2901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 2*s**2 - 4*s - 3. Calculate k(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -k - 11, -10*d = -9*d - 4*k + 16. Solve 3*p + d*r + 6 = -15, 0 = 5*p + 2*r + 21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40971899 and 781?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 11:09 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -8*k - 20*k - 214 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + sqrt(34)\/sqrt(2).\nAnswer: -2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.302 take away -24?\nAnswer: 22.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w = 9740 - 760. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-5) - 0 - 0. Let i = 4567\/3 + -1720. Let h = -198 - i. Put 7\/3, k, h in decreasing order.\nAnswer: 7\/3, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2. Let h(d) = 24*d + 17. Let i(v) = 27*v + 17. Let j(p) = 7*h(p) - 6*i(p). What is x(j(f))?\nAnswer: -72*f**2 - 408*f - 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 67447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -144590 divided by 10?\nAnswer: -14459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 8 - 65. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8612788 or -8612874?\nAnswer: -8612788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1434 and 1953.\nAnswer: 933534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 - 12*m**2 - 10*m**2 as u + k*m + j*m**2 and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 43825544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 121255027199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 11*l. Let w(f) = -2*f**2. Calculate -s(i) + 2*w(i).\nAnswer: -6*i**2 + 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b + 2540 = 0. Suppose 0 = -3*y - j + 4*j + 399, -2*j = 4*y - b. Calculate the remainder when y is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2410, 8\/135, 1.3, -0.2?\nAnswer: 2410","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1170, 1166, 1160, 1152, 1142, 1130?\n\"Answer: -j**2 - j + 1172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1702 + 104 = 7*t. Suppose t = -3*k + 6*k. Let i = k + -41. What is the greatest common factor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3*-3 - 1. Let t = 5 - l. What is the remainder when 34 is divided by 2*2*24\/t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**4 - 4*c**3 + 6*c**2 - 4*c - 3. Factor f(k).\nAnswer: 4*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5834145728 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54968*c + 54956*c + 180 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -117564071 - -2?\nAnswer: -117564068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011827661 rounded to 4 decimal places?\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4\/6 + 824\/24 + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((105\/66)\/(-5) + (-28)\/154)*-22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6520628 take away -0.14?\nAnswer: -6520627.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((4\/(-6))\/((-2)\/15))\/1. Suppose a*j = 4*l + 20, 2*j + 2*l + 15 = -l. Suppose -8*z + 5*z + 636 = j. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*j + 14 = 3*i, 0 = 5*i + j + 35. Let c(l) = 10*l**2. Let a(x) = -15*x**2. Give i*c(m) - 5*a(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380*t - 363*t - 372 = -32. Solve 0 = -p - 2*d + 4*d - 8, -2*p = -5*d + t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -71634, -71829, -72044, -72285, -72558, -72869, -73224?\n\"Answer: -o**3 - 4*o**2 - 176*o - 71453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33036206 and 329?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q - 113 + 113 + (-2 + 2 + 1)*(2*q + 0*q + q) to c*q + d and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3, 2*t + 0*t = 2*h - 14. Suppose 2*v = 4*f + h, 5*v + f + 3 = 2*f. What is v rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - u + 4. Let x be k(3). Let r = x + -14. What is the least common multiple of 16 and r?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 323018 from 6068.\nAnswer: -316950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g*g*g**(3\/7))*g*g*g**(1\/8)*g**(-2\/23)*g\/g**(-9)*g assuming g is positive.\nAnswer: g**(13665\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u - 1. Let o be r(5). Suppose o + 22 = 2*w. Is (-8)\/w - (-499)\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-66)*1364\/(-11) and -131\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (2 - (9 + -4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 2*f + 3. Let s be w(0). Suppose s*n - 4 + 13 = 5*c, 5*c + 12 = -4*n. Find the second derivative of 0 - 276*u**5 - 21*u + 275*u**5 + c wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -14*w + 14. Let g be f(1). Let c(i) be the first derivative of i**3\/3 + 3*i**2 + 6*i - 1. Let t be c(-6). Solve -3*r - t + 3 = g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25175 - 352447\/14. Let t be (-9)\/(-12) - 2\/(-8). Which is smaller: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/16 + (-2)\/(-8). Let a = 13 - 12. Let j be (1 + -7)\/2*-1. What is the nearest to -2 in h, j, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 4*u - 25. Is 27 a factor of c(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 389*p + 5 - 972*p - 86 - 1347*p - 749*p wrt p?\nAnswer: -2679","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*(sqrt(19) - sqrt(114)\/sqrt(6)) + sqrt(19))**2.\nAnswer: 10*sqrt(19) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.64 + 3.36. Let p = -7 + o. Which is the nearest to -1? (a) p (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-525)\/(-420))\/(((-3018)\/(-752) - -6) + -10).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-7)*l)*l*l*l\/l**(-7))**15)**(-12\/17) assuming l is positive.\nAnswer: l**(-360\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 11:19 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 1834634929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3338 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + u**2 - u + 1. Let n(b) = -7*b**3 + 17*b - 23. Let h(k) = -6*f(k) - n(k). What is the units digit of h(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*b**4 + 5*b**4 - 2*b**4 + (14 - 4 + 10)*(5*b**4 - 3*b**4 + 0*b**4).\nAnswer: 63*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 5. Let z(g) = -1. Let n(s) = y(s) - 5*z(s). Let q(b) be the first derivative of -89*b**3\/3 + 5408. Determine n(q(u)).\nAnswer: 178*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10239 + 10451. Calculate the greatest common factor of 5 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 11 (c) -2 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2292*c**3*s*t**3 - 42*c**3*s + 16*c + 662*s - 2*t**3 wrt c?\nAnswer: -13752*c*s*t**3 - 252*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53913921 to the power of 1\/3, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 101915.\nAnswer: 917235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 2*l + 2. Let h be t(2). Is 7\/12 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48366 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from {h: 2, s: 2, r: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jtqt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**4*m + 8*c**4 + 2*c**3*m + 2*c**2*m + 9*c**2 - 26*c*m wrt c.\nAnswer: 72*c*m + 192*c + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4836018?\nAnswer: 2, 3, 11, 47, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -2\/25, 3, -0.9, 0.5, 0.07?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-6))**(2\/21) assuming r is positive.\nAnswer: r**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 338.6 * 0.5.\nAnswer: 169.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 9 - 19\/((-950)\/320). Sort -10, a, 2\/9 in ascending order.\nAnswer: -10, a, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 3 - 3)*(-2*q**2 - q**2 + 0*q**2) + 30*q**3 - 2*q**3 - 11*q**3.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - w + 1. Let l(b) = 3*b**2 + 6*b - 3. Let q(p) = -p**2 + 1. Let o(d) = l(d) - 4*q(d). Let r = -5 + 4. Give r*o(c) - 6*t(c).\nAnswer: -c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (222\/(-73) - -3)\/(1038\/692).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -258073 divided by -6\nAnswer: 258073\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3766*u**2 - 14450901*u + 14450901*u to p*u**2 + f + v*u and give p.\nAnswer: 3766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/13 - 8*d**2\/13 + 22*d\/13 - 12\/13.\nAnswer: -2*(d - 1)**2*(d + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 170*j - 3. Let o be d(4). Let v = o + -482. Suppose 2*w = 5*w - v. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -205 + 186 + 5*u**3 - 18*u**3 wrt u.\nAnswer: -39*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*j**3 - 1147*j + 1147*j + (-2*j**2 + 0*j + 0*j)*(-j - 2*j + 5*j) - 7 + 8 + 5*j**3 - 2 as a*j**2 + i*j + g*j**3 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1400032 + 10302?\nAnswer: -1334230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.58 - -8.34. What is the nearest to -0.1 in h, 4, 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a gram in milligrams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27197440?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 982 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 0 - (-8 + 3). Let d = 2 - t. Which is the smallest value? (a) -0.5 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 28*s**2 - 125*s - 21. Determine i(32).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3 = -3. Let f(d) = 3*d - 4*d**2 + 20313*d**3 + 4 - 3*d**p + 4*d**2. Let g be f(4). What is g rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2 + 470*c**2 + 9*c**3 - 470*c**2 + 15*c**3 + 4*c in the form k + h*c**2 + z*c + q*c**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + s - 10. Let h be 6*2\/(-12)*-3. Suppose h*p - b + 5 = -7, -21 = 2*p - 5*b. Let w be r(p). Solve -w*l + 3 = 4*v, 4*v + 3 = 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 200 - 2242513?\nAnswer: -2242313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -2500\nAnswer: 12500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, 1, 2, 3 in descending order.\nAnswer: 81, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3) + 28\/(-30))*423\/335580*34?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 3, 618 - 617 = -11*f - i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 3*k**2 + 2*k**2)*(1 - 5 + 2)*(-4 - 10 + 7).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -23231010222 (base 4) to base 3\nAnswer: -12202212210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*k + 45, v - 6 = 5*k + 9. Calculate the least common multiple of v and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1745, 6733, 15047, 26687, 41653, 59945, 81563?\n\"Answer: 1663*d**2 - d + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 207*a**4 + 18*a**4 + 208*a + 367*a**4 - 162*a**4 wrt a?\nAnswer: 5160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 7:15 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 19*a + 31 = -34, 3*a = -7*c - 2*a - 7 - 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/25)\/(8\/(120\/(-9)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:54 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 - v**2 + v**2)*((4*v + v - 4*v)*(-2 + 2 - 2) + 0 + v + 0 + 4*v + 6*v - 4*v) in the form i*v + j + o*v**2 + k*v**3 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - sqrt(48)\/sqrt(6)*-2)\/(sqrt(4) - ((sqrt(4) + sqrt(36))*-1 - sqrt(4))).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -97177 divided by 29\nAnswer: -97177\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1118162 to the nearest ten thousand.\nAnswer: -1120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 14*v - 14. Let f be p(-12). Let w = 111 - f. Suppose -2*l + 0*l - 10 = 0, w*n = -4*l - 50. Do n and -7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/40 + (-14)\/(-35) + 0. Is r at most -3\/4384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - o - 3*o + 58 = 0, 3*w - 5*o = -139. Let c = w + 43. Suppose 0 = c*n - 295 + 30. List the prime factors of n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23558 - -23547. Sort -4, 1.42, t, -0.2 in decreasing order.\nAnswer: 1.42, -0.2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94)\/((-277300)\/(-39294)) - (1 + -14).\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o - 9*o + 36*o)*(-555062*o + 3*o**2 + 555062*o - 21).\nAnswer: 60*o**3 - 420*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64444 is divided by 341?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:13 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 508*u - 64516.\nAnswer: -(u - 254)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103334 + -2427. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 389*h**5 + 366*h - 2 wrt h.\nAnswer: 7780*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/13))\/b**(-5\/4) assuming b is positive.\nAnswer: b**(121\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3*j = -2*o + 9, 5*j = 4*o + 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a tonne in kilograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 909646979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -509107*l + 3771. Is t(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f - 14. Let i(v) = -v**2 - 4*v + 5. Let d(z) = 12*z**2 + 60*z - 75. Let a(q) = -3*d(q) - 45*i(q). What is a(g(p))?\nAnswer: 144*p**2 - 1008*p + 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3021*k**3 - 2646*k**2 - 369*k - 6 = 0.\nAnswer: -2\/19, -1\/53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - o - 8 = -9, 0 = q - o - 8. Solve 0*u = 3*u + q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**5\/5 - 13*v**4\/3 + 32*v**3 - 72*v**2 + 86*v + 2. Determine s so that b(s) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 32.6. Let o = -3 + r. Let q be (-2)\/4 + 1 + -1. Which is the third smallest value? (a) 2 (b) o (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:48 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 82*s**2 + 12*s - 4. Let b(u) = -3*u**2 + 3*u - 1. What is 20*b(k) - 5*v(k)?\nAnswer: -470*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 531 and 8966277?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (269 - 267)*(3\/9 + (-86)\/(-12)). Which is the fifth smallest value? (a) 1\/4 (b) 3 (c) -0.1 (d) i (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/13)*i*i*((i**(-18)\/i)\/i)\/i*(i*i**(5\/3))\/i*i*(i**(-5\/7)\/i)\/i)**(-8\/7) assuming i is positive.\nAnswer: i**(39080\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/3, -4\/9, -2\/7, -1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5437232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -113.6403672 to zero decimal places.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 19*l - 680. Let b be z(36). Solve -v + 5*v - b*y = 4, 4*v + 4*y - 20 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -445135925 by 5725.\nAnswer: -77753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 + 436*m\/3 - 145.\nAnswer: -(m - 435)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -2)\/(-1 + 0). Suppose d = -i + 8. Let m be -3 - (6 + 294\/(-6)). What is the greatest common divisor of m and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 28.51789 kilograms?\nAnswer: 28517.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8114.8+-3.932\nAnswer: 8110.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9*c - 2. Suppose 3*w = -2*w + 20. Let p(j) = 8*j - 2. Let l(y) = w*t(y) - 5*p(y). What is the first derivative of l(r) wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a - 21*a - 88*a**2.\nAnswer: -88*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -599.8 and 17?\nAnswer: -10196.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8802565 times 0.102?\nAnswer: -897861.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 8*j - 4*x - 32, j = -4*x + 8. Let m(w) = 2*w**3 + 28*w**2 + 27*w + 19. Calculate the remainder when m(-13) is divided by 24\/11 - j\/44.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8780 (base 11) in base 4?\nAnswer: 2310333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3498 + 342?\nAnswer: 382a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 184592 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4 - (7 + -7 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269138, 269144, 269150, 269156, 269162, 269168?\nAnswer: 269174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -238 + 163. Let o(b) = -2*b**2 + 18*b - 103. Let v be o(7). Are v and g unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l**5 + 914*l**4 - 20404*l**3 + 131688*l**2 - 257040*l - 84672 = 0 for l.\nAnswer: -84, -2\/7, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 150 = 4. Let k = -42 + d. Suppose -z - z - 3*x = -262, -4*z + 528 = 5*x. Calculate the remainder when z is divided by k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36081)\/52117 - 1698\/26?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 16 = -2*z - 7*t, 5*t = -5*z - 10. What is the third derivative of -7 - 26*k**2 + 83*k**z - 30*k**2 - 32*k**2 + 37*k**4 wrt k?\nAnswer: 888*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27.93*0.29\nAnswer: -8.0997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - b**2 - 4*b + 1.\nAnswer: (b - 1)*(b + 1)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.51986+-1.84\nAnswer: -1.32014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1172 divided by -4324?\nAnswer: 293\/1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**4\/2 - 370*q**3 + 22215*q**2\/2 + 48950*q + 50470 = 0?\nAnswer: -2, 49, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-224)\/(-132))\/(((-15360)\/(-704))\/(-40))?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*v + 73*v + 57*v - 20246 = -138*v for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n - 50*n = -25*n - 142. Factor -10\/11*z + 0 + 2\/11*z**n.\nAnswer: 2*z*(z - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -346\/17 - -2024\/51. What is the common denominator of -42\/5 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -166, -111, -28, 77, 198, 329, 464?\n\"Answer: -w**3 + 20*w**2 + 2*w - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 0*b - 61 + 7\/55*b**5 - 5\/22*b**4 + 0*b**2 - 1\/66*b**6 + 0*b**3. Factor m(a).\nAnswer: -a**3*(a - 5)*(a - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1320\/66 - (-96)\/(-4))\/(8\/34)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 46. Suppose -4*k + 2*j = 3*j + 26, 4*j = 8. Let z = 16 + k. What is the highest common factor of y and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/(-135))\/(1\/(30\/(-8))).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.06, -2, -0.5, 1 in increasing order.\nAnswer: -2, -0.5, -0.2, -0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 10511043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -90985, -90650, -90301, -89932, -89537, -89110?\n\"Answer: d**3 + d**2 + 325*d - 91312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -394 + 371. Let o(f) = -f**2 + 3*f - 6. Let r be o(4). Let s = r - m. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*u**2\/19 + 7226*u\/19 + 2408\/19.\nAnswer: 2*(u + 1204)*(3*u + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4 - 21 = -3*w, 2*w - 3*r = 17. Let j be (-20)\/((-3 - -1) + 0). What is the highest common factor of w and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -10, -q - 12 = -j - 3*q. Let v be (-5)\/j*(6 - 8). Suppose 0 = -0*u - v*u + 300. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*l - 31. Which is the third smallest value? (a) -2\/13 (b) 3 (c) -2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/13)\/((j\/j**5)\/j))\/((j\/j**(-1\/2)*j)\/j**(-2\/5)))\/(j**6\/((j\/((j\/j**12)\/j*j))\/j*j))**(3\/10) assuming j is positive.\nAnswer: j**(487\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 1, 16102 in descending order.\nAnswer: 16102, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 157\/140232, -1\/9 in decreasing order.\nAnswer: 157\/140232, 0, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c - 15. Let q be b(-9). Which is smaller: q or -41?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - -64501?\nAnswer: 64480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -8*y + 181 - 4*y**3 - 101 - 80*y**2 + 12*y = 0.\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:25 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, v: 1, o: 3}. What is prob of picking 2 r and 1 v?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 7:28 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 450*t**2 + 18*t - 14. What is the hundreds digit of o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39092 is divided by 381?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 6) to base 11\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 733 + 5*i**2 - 225 + 64*i**2 + 4*i**2 + 4*i**2.\nAnswer: -i**3 + 77*i**2 + 508","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 5*u + 6. Let l(z) = -z**3 + 4*z**2 + 3*z + 2. Let m be l(5). Let i = 6 + -2. Let w = m + i. Calculate t(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3729.01516 rounded to one decimal place?\nAnswer: -3729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Let q(z) = -z + 2. Let i be q(4). Let k be (-160)\/(-315) - i\/(-9). What is the third smallest value in k, g, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x + 4, 0 = s + 5*x + 91. Let u = -71 - s. Solve -3*y + 2*w + u*w + 20 = 0, -2*y = w - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*o = 160*o + 2*n + 9, -13 = 3*o + 2*n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -176.\nAnswer: 35.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -15*q - 61 - 37 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2433935 divided by 1379\nAnswer: -1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -4885861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 82, 131, 160, 163, 134, 67?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1344400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 822599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8828674553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4476 + -2045. List the prime factors of p.\nAnswer: 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 10. Let x be q(5). Suppose -3*p = -0*p - 96. Let w be 3 + (p\/(-5) - -3). What is the nearest to 1 in x, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3705528.\nAnswer: 2, 3, 103, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 439*f - 134. Calculate o(0).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 20 = -3*y + 2*y, 4*y - 14 = n. Let o = n + 6. Let p be (-1)\/(-6) - 71\/(-6). Solve o = 3*w + 2*v - 17, -2*w - 3*v - p = -30 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/12*((-165)\/126)\/(-55).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36.4 - 38. Let r = 70.68 + -69. Let f = r + h. Sort -0.4, f, 4 in ascending order.\nAnswer: -0.4, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49251*g = 49297*g + 920 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - -14. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 3*v**2 - 3*v - 1. What is m(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-4 - (-12 + 0)) + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3243.3 and 2?\nAnswer: -6486.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -755492065*a**2 - 496780850 wrt a?\nAnswer: -1510984130*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -500*0.1\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7293232, 29172927, 65639086, 116691709, 182330796, 262556347?\n\"Answer: 7293232*x**2 - x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*j - 253239, -50653 = -j + 9*m - 6*m. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 32 = 5*c, -2*r - 45 = 3*r + 2*c. Let m = -1.4 + 3.4. Let z(t) = t**2 - 8*t + 6. Let h be z(7). Put r, h, m, 0.1 in decreasing order.\nAnswer: m, 0.1, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00098748 to 6 dps.\nAnswer: 0.000987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 31 from 0.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - f + 4. Let o be v(0). Solve 0*m - 8 = -o*m, -6 = 2*g - 4*m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 97280008\/8*1 - 1. What is q rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 9:13 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 230715 - 150715. Round o to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 24*w = -105. What is the greatest common divisor of w and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2514 = -11*a + 5*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359 - 3*h**2 + 113 + 121 - 116*h + 125.\nAnswer: -3*h**2 - 116*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147885929 to the nearest integer?\nAnswer: 12161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -3 + -22 - (-1 + -1 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 397*u**3 + 3*u**2 - 8*u + 7. Is 21 a factor of s(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3510, 3529, 3552, 3579, 3610?\n\"Answer: 2*c**2 + 13*c + 3495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 2337?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 6:48 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4785 + 5060. Solve -5*b = -2*x - 16, q*x - 279*x - 10 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d**2 - 60*d**3 + 22*d**2.\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(7) - (sqrt(7) - sqrt(28)\/sqrt(4))*-2.\nAnswer: sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -33. Suppose -7*p + w + 20 = 0. Solve s = p*o - 15, 5*o + 5*s = s + 40 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*n**3 - 3)*(2*n**2 - 3*n + 3*n) + 40*n**2 + 45*n**2 - 90*n**2 - n**5.\nAnswer: -5*n**5 - 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 3)*(-2*h**2 - 3*h**2 + 3*h**2) + 2*h**2 + 0*h**2 - h**2 + 0*h**2 - 5*h**2 - 7*h**2)*(-h + h + 2*h**2).\nAnswer: -30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oouuooouoouooooouo. What is prob of picking 4 u?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 31. Calculate the least common multiple of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 27*q**2 + q**2 + 10*q + 252 + 13*q**2 + 10*q - 19*q - q**3. What is the least common multiple of c(0) and 3?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2318 divide 407177703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/28 + (-1164)\/(-28). Suppose -304 + c = -2*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41934 divided by 3\nAnswer: -13978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 843704 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 5*j**2 + 12 - 14 + j - 2*j. Let r be k(-5). Suppose -71 + 2 = -r*q. 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: Determine a so that -5*a**3 + 5*a**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + h = -h - 18, -2*w = 4*h + 16. Let k = w - 3. Let y be (4\/6)\/((-2)\/6). Which is smaller: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2379 and 572.\nAnswer: 104676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29042 rounded to three dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 7:26 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -5 - 7)*(-1)\/3. Let o be u\/((-42)\/108) - 3\/7. Let g be o\/(-9) + ((-320)\/(-12))\/(-8). What is the closest to 3 in g, -0.7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133*s + 130*s - 4*x + 62, 11 - 86 = -5*s - 5*x - 0*x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2961*p = -3064*p + 412 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60688785*u**2*y + 24*u**2 - 156952*u + 3 wrt y?\nAnswer: 60688785*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5533*q**3*u - 9365*q**3 - 54*q**2 + 9*q*u - 46*q - 45*u + 2 wrt q?\nAnswer: -33198*u - 56190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16868 - -9?\nAnswer: 16875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8427 divided by -6?\nAnswer: -2809\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 810950 and 227066?\nAnswer: 5676650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(102)*-2)\/sqrt(6)*1 + sqrt(34)\/(sqrt(162)*-1 - sqrt(162)).\nAnswer: -37*sqrt(17)\/18 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1220016020 to the nearest one million.\nAnswer: 1220000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h**3 - 6*h**2 - 6*h. Let c(n) = 8*n**3 + 5*n**2 + 5*n. Calculate -6*c(u) - 5*i(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.4, -23, 2, -0.03611, 1\/7 in ascending order.\nAnswer: -23, -0.4, -0.03611, 0, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -3, -2, 2 in descending order.\nAnswer: 2, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 5*v**2 + 5*v - 6. Let r(m) = -2*m + 10. Let a be r(8). Let b be i(a). Let o = -5 + 5.3. What is the closest to -1\/3 in o, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14322, -14311, -14300, -14289, -14278, -14267?\nAnswer: -14256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.5 - 42. Let l(x) = x**3 - 15*x**2 - 16*x + 1. Let q be l(16). Which is the closest to q? (a) v (b) -3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15547964060 - 34.\nAnswer: 15547964026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 4\/9*u**5 + 19\/18*u**4 + 0*u + 16\/27*u**3 - 1\/9*u**2 - 18. Find r such that g(r) = 0.\nAnswer: -1, 0, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/410725 and -49\/5?\nAnswer: 410725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -3. Let h = 3 - a. Suppose h*f + f = 70. What is the greatest common factor of 21 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 7992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + b. Let m(a) = -10*a**2 - a + 1. Let r(l) = -m(l) - 5*q(l). Is r(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**4\/12 + p**3 + p**2 - 11*p. Let m be (0 - 0)\/(1 + -2). Let h(k) = k**3 - k + 6. Let q be h(m). Determine o(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2359 and 364.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16206 - -27019. Let j be (-49026)\/(-10) + (-22)\/(-55). Let f = z - j. What is f rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4, 2*t + 37 + 92 = q. Let s = q - 81. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 250, 325, 450, 625, 850, 1125, 1450?\n\"Answer: 25*s**2 + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6)\/(g\/g**(-7)))**(-21))**(4\/9) assuming g is positive.\nAnswer: g**(392\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 4*c - 13581 = 4*b, -3*b + 8127 = -3*c. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 11 + 53 + -85\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**6\/120 - x**5\/60 + x**4\/24 + x**3\/6 + x**2. Factor k(w).\nAnswer: -(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8*g**2 - 382*g + 1654. Give x(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 20590 and 20591 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28282913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6\/19, -0.2, 5, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w**3 + 18*w**2 - 25*w + 32. Is s(-10) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 + (5 - 17)) - ((16 - 5) + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 40. Suppose 5*a = -4*u + 62, -u = -2*u - p*a + 19. Calculate the greatest common factor of u and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 + 26*v**2 + 303*v - 452. Determine a(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1550 and 1425?\nAnswer: 88350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/4)\/(x*x\/x**(1\/2))*x*x\/x**(-1\/3)*x*x**(4\/3) assuming x is positive.\nAnswer: x**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 1. Let l(j) = -8*j - 8. Let u(o) = o**2 - 12*o - 6. Let g be u(12). Determine g*i(n) + l(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 4 - 12)*(d + 0*d + 2*d).\nAnswer: -72*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*f - 109*f = -21*f + 166*f - 21805 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - o = 5 - 0, 3*c + 3*o = -6. List the prime factors of (6\/10)\/(c\/25).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -7*n + 6, 3*n - 154 = -4*w. What is the remainder when (330 - 105) + -1*4 is divided by w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 7*k + 2. Let f be g(7). Suppose f*o = o - 2. Let p = o + 2. Solve w - 5*y - 4 = -3*y, -5*y - 10 = p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17187219 by -6.\nAnswer: 5729073\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 68845871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*f + 320, -200 = -5*f - 4*v + 124. Suppose 5*n - 18 = 222. Let t = f - n. What is the remainder when t is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.114038 and 681?\nAnswer: 681.114038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, k: 15}. What is prob of sequence eeek?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*9*6\/(-39)*(-130)\/(-40)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 1107.\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-10\/3)*f**(-2\/5) assuming f is positive.\nAnswer: f**(59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*s = n - 72, 4*n - 2*s - 78 = 0. Suppose -n*h + 924 + 294 = 0. Does 38 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**4\/4 + 5*v**3 - 10*v**2 + 7*v - 81. Is 17 a factor of s(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 27*x + 2. Let o be 4*2*(-1)\/(-2). List the prime factors of m(o).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -11*a**3 - 14*a**2 + 74*a - 14. Let t(o) = 12*o**3 + 13*o**2 - 73*o + 13. Let s(j) = -3*d(j) - 2*t(j). Solve s(q) = 0.\nAnswer: -4, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/112*-7*16\/114\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101211 - -201?\nAnswer: 102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - v = 3*v - 6, 1 = -g + v. Suppose 2*u - g = -4*j, -4*j = -5*u - 2*j + 41. What is the greatest common factor of 91 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-1) + 0 + -2. Suppose z = -a + 2, 0 = -2*f - 3*a + 12. Let r be 1161\/(-258)*2\/(-3). Solve -8*h + f*h + 2 = 4*u, 0 = 4*u - r*h - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92 - 85. Calculate the remainder when 48 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) - 1\/2. Let a = 2 - l. Solve -3*x = -3*s - 6, a*x - 5 = -x + 2*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84711, 84716, 84723, 84732, 84743, 84756, 84771?\nAnswer: 84788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*(sqrt(1377) + 2)**2 + -1 + 4.\nAnswer: 36*sqrt(17) + 1384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -153*k - 4*k + 27318. Solve k*b - 160*b = -112 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k = -1084 + 9084. Calculate the greatest common divisor of k and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i + 43. What is u(-6)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/4 + 45141*b**4 + 2037755021*b**3 + 8150568679*b**2\/2 - 8151020085*b\/4 - 8150658961\/2 = 0. Calculate b.\nAnswer: -90281, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -992*y = -357*y - 388*y + 11115 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(10\/18)*4\/42?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 divided by 284?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q - f - 15, 3*q = -3*f. Let i(x) = -2*x + 8 + x - 3 - 4. Calculate i(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*k + 33, -k + 233 - 83 = 5*t. Let u(s) = 86*s - t*s - 26*s - 32*s. Let o(v) = -37*v. Calculate o(u(d)).\nAnswer: 37*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -21. Is 4\/j - (-166080)\/45 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**6\/1200 - 23*c**5\/300 + 43*c**4\/60 - 14*c**3\/5 - 209*c**2. Factor j(b).\nAnswer: (b - 42)*(b - 2)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 109*x**3 + 13*x**2 - 65*x + 104. Let k(b) = -55*b**3 - 6*b**2 + 30*b - 52. Determine 13*k(l) + 6*r(l).\nAnswer: -61*l**3 - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-25 + 10 - 43)*(5 - 2*t - 5) + (-2*t + 2*t - t)*(-3 + 2 + 2).\nAnswer: 231*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32066.349688 + -32066. Let i = a + -0.35. What is i rounded to five dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.59802 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4*r + 18 - 49 = 0, 4*d - 5*r = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*g + 8 + 23 = 0, -5*q + 91 = -4*g. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**3 + 12*m**2. Calculate c(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6554244 (base 8) in base 16?\nAnswer: -1ad8a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -758*x + 11. Is y(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (2 - 1)) + -41. Let b = -26 - h. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-507668)\/(-26) - 168\/(-546).\nAnswer: 2, 13, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - (-56)\/10) + (-2 - -1). Let x be -3 + (105\/(-10))\/(-3). What is the nearest to -2\/5 in 2, v, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 1. Let y(d) = -4*d - 1. Let v(c) = -c**2 + 6*c - 3. Let z be v(9). Let h be ((-2)\/4)\/((-3)\/z). Calculate h*f(u) - 3*y(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 32 + 31 + h - 63 + 74876*h**2.\nAnswer: 74876*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -7338\nAnswer: -88056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24037 take away 0.5?\nAnswer: -24037.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6703217668.\nAnswer: 2, 7, 31, 293, 26357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53\/136 - 13\/34. Calculate the common denominator of b and -47\/6.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(14) + (sqrt(14) - (sqrt(504) - ((-3*sqrt(504) - sqrt(504)) + sqrt(504)) - sqrt(504) - sqrt(504)))))\/((sqrt(1050)*6)\/sqrt(6))*1.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2515184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 72345808 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.944 - -17.678. Round y to 0 dps.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 157 + -100. Let c(z) = 2*z + 57 - f. Let h(x) = -8*x**2. Let g(b) = -b**2. Let s(p) = -6*g(p) + h(p). Calculate s(c(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28, -71, -130, -205, -296?\n\"Answer: -8*v**2 - 19*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(1\/3)\/d*d\/(d*d*((d*d**(-3\/5))\/d)\/d*d)*d*d*(d**(2\/9)*d)\/d**(-1\/3) assuming d is positive.\nAnswer: d**(157\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89283, -89285, -89289, -89295, -89303?\nAnswer: -89313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h - 3*h + h)*(195 + 26 + 9) + (-3 + 2 + 0)*(2*h - 1 + 1) to g*h + z and give g.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 95373, 95375, 95377?\n\"Answer: 2*j + 95371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -625.7 - -626. Which is the smallest value? (a) v (b) 1.18 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times 1904?\nAnswer: -247.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) 0 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 5*t + 843 = -438 + 7 for t.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -8*m + 4*m. Suppose -m + 55 = 2*v. Find the common denominator of 13\/10 and (-6)\/v - (-5)\/(-52).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15951, 939, 4, 0.4 in decreasing order.\nAnswer: 15951, 939, 4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-5 + 21 - 37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h - 20. Let m be n(-10). Suppose -4*x = -457 - 503. What is the greatest common factor of x and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -0.0230439?\nAnswer: -10.9769561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, 0, -2, -5, -6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/17)\/j*j**(-4))\/((j*j**(-3))\/j**(-8)) assuming j is positive.\nAnswer: j**(-185\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -49*h + 93. Calculate n(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.9. Let d(y) = 3*y. Let x be d(1). Suppose -4*w - x = 13. Put m, w, -0.3 in descending order.\nAnswer: -0.3, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 249 - 165. Does 28 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + (-2 - -2) - (-24 + (31 - (-24 + 25)))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38 + -6?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 7:03 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcqcjqjc. Give prob of sequence cqj.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 156087, 312010, 467933?\n\"Answer: 155923*p + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 2165510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 10*q + 25. Let a be s(6). Is a smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/5 + 20970*h - 943731\/5.\nAnswer: (h - 9)*(h + 104859)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1617) + 1*sqrt(1617))*6)\/(sqrt(11)*-1*3 + (sqrt(1331) - (sqrt(1331) + 3*sqrt(1331) + sqrt(1331)))) + -3.\nAnswer: -84*sqrt(3)\/47 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.25. Let t = z - -0.03. Let s = t + 0.06. What is s rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 6137*w**3 - 6128*w**3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(1\/(-3)*1). Let f be (a\/6 - 3)*306. Calculate the greatest common divisor of 17 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -70*13\/(-390)*3 - 6. What is the closest to -8 in -1\/2, u, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s - 525 = -465. Let q(d) be the first derivative of -30*d**s - 35 + 8\/3*d**3 + 28*d. Factor q(n).\nAnswer: 4*(n - 7)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5379317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4145 - -5?\nAnswer: 4154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 10*d**2 - 4*d + 8. Let b(k) = -2*k**2 - k. Let t(s) = -2*b(s) - q(s). Let v(n) = 6*n**3 - 2*n**2 - n. Let g be v(-1). Determine t(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 13 = -34*s + 32*s, -4*r = -4*s - 36. Solve -3*h = 2*b - 16 + 5, -r*b = -4*h + 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from pvvvspvuhsuppsvp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 2:48 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + -5. Let j(l) = -l**3 - 10*l**2 - 11*l + 1. What is the units digit of j(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3753761 times -0.2?\nAnswer: 750752.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42504605 and 2145.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3004 - -1503?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 517167606?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2 times 115?\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -14, 1, -6, -129 in ascending order.\nAnswer: -129, -14, -6, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2. Let g be (-657)\/(-39) - -4 - 2\/(-13). Let t(k) = g*k + 24*k - 25*k. Determine u(t(w)).\nAnswer: 1200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*s - 10 = 0, 2*p - 3*s + 2 = -3. Let t be ((-12)\/15)\/((-14)\/p). Which is the nearest to -0.1? (a) -0.5 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184627875 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 17*l = -2. Let j be 18\/24 + ((-159)\/(-12) - l). Solve 2*a + 3*c - c - 8 = 0, -j = -a - 5*c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r + 26. Let m(y) = -130*y + 884. Let q(b) = -m(b) + 34*s(b). Suppose 6*o - 5*o = 2. Let v(k) = 4*k**2 + 0*k**2 + 2*k**o. What is q(v(c))?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (226*b**2 - 20*b**2 - 24*b**2)*(-23*b - 9*b + 13*b)*(0*b - b - b) as w*b**4 + u*b**2 + d*b + y*b**3 + c and give w.\nAnswer: 6916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 9*n + 82. Give j(-8).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.43 and -3.5?\nAnswer: 5.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13041*g**5 + 16*g**3 + 3203578*g**2 wrt g?\nAnswer: 782460*g**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*u - 1089, -2*w - 15*u = -19*u - 426. What is the remainder when w is divided by 109?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffaffaffffaff. Give prob of sequence af.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -13*q + 496. What is the remainder when 530 is divided by s(36)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*t + 1345469 - 1351345 = 0 for t.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18\/7, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -4. Let g be (1 - 0) + (o - -1). Suppose g*p - 7*p - l + 24 = 0, 3*p - 18 = l. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 423\/8 + 19\/4*r - 1\/8*r**2.\nAnswer: -(r - 47)*(r + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1460 - -1489 - (2 + (1 - 1))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**3 + 62*t**2 + 4281*t - 102922. Calculate y(31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 87589.\nAnswer: -2\/87589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n + 72. Let x be (n + -1)\/(0 - -1). Let v be x - (2 + 1 + -1). Calculate the highest common factor of 22 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 22 + 9 + -5 + -16 - -4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7070*l**2 + 7801*l**2 - 2424*l + 2424*l.\nAnswer: 731*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t**2 - 21*t - 41. Let v(y) = -13*y**2 + 41*y + 81. Let c(r) = 11*f(r) + 6*v(r). Let n be c(17). Is n less than 12\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1157559 + -1157557. Find n, given that 71*n + 1\/2*n**b + 5041\/2 = 0.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 19*k**4\/6 + 4*k**3\/3 - 5*k**2 - 1. Is 59 a factor of c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 91517.16kg?\nAnswer: 91517160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-one fifths of a century?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7408882?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 102 + 46. Let t = -286 + b. Let x = t - -257. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 68\/204*(-3)\/1. Let x(s) = -s**2 - s. Let l(g) = -14*g**3 + g**2 + g. Calculate t*x(b) - l(b).\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1268*c**2 - 1277*c**2 + 3545*c**2.\nAnswer: 3536*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 + -45. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 0*c - c - 5, -2*a + 25 = 3*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(80) + 1 + sqrt(80) - sqrt(45)*-4 - (-5 + 2*sqrt(5)*1)) + -2.\nAnswer: -1 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 188670 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**8\/1680 + c**7\/840 + c**4\/4 - 5*c. Let h(a) be the third derivative of m(a). Find the third derivative of h(q) wrt q.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20924.\nAnswer: 2, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(0*r**4 + 2*r**4 + 3*r**4)*(0 + 0 + 2*r).\nAnswer: 20*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10225?\nAnswer: 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 29\/3 of a week?\nAnswer: 1624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -36)\/(6\/4). Let s = y + -13. Let p be (s\/(-12) - 1) + 2. Sort p, 3\/4, 4.\nAnswer: p, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136588 and 4192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*p**3 + 283*p - 109358*p**2 + 109358*p**2 + p**3 to the form o*p**3 + y + b*p + a*p**2 and give b.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1328*a - 2561*a = -1366*a + 5466 + 1982 for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/3)\/(34\/(-51))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2824492212?\nAnswer: 2, 3, 31, 2530907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*g - 260*g**2 - 35*g - 37*g - g.\nAnswer: -260*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3556929570 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -7*l + 3*l. Let k = -24 - -30. Solve -3*a = -l*a - k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 24*x + 74. Let l be d(-3). What is the highest common divisor of 3 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/7*(-112)\/(-32).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**3 + 118*u**2 + 1645*u + 21648. What is r(-29)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 133684.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*k - 183*k + 32*k + 7*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15498 - 15493. Let u(d) be the first derivative of -2\/55*d**k - 1\/11*d**4 + 0*d**3 - 17 + 2\/11*d**2 + 2\/11*d. Factor u(v).\nAnswer: -2*(v - 1)*(v + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + h - 11, 2*q = 2*h - 0 - 2. Suppose 119 = -4*f - c, -q*c + 5*c = 3. Let y = 25 - f. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*i + 3*k - 16, 2*i = -3*k + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r**2 - 53*r - 569. Let v be l(-11). Is 978 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, g: 8, b: 1}. What is prob of picking 1 u and 1 g?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 11*m. Let v(k) = 5*k - 6. Let j(c) = 3*c - 3*c + 2*c - 1 - c. Let r(w) = -6*j(w) + v(w). Give s(r(z)).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-20) - -1)*(-3 + 8)\/1. Let u(q) be the first derivative of -4\/3*q**3 - 4 + 2*q + 3\/2*q**t. Let a(d) = 9*d**2 - 7*d - 4. Calculate 3*a(b) + 7*u(b).\nAnswer: -b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 359318400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f - 11. Let z(c) = 4*c - 13. Let m(x) = -7*i(x) + 6*z(x). Let y(d) = 1. Let s(b) = -b**2 + 2*b + 49. Let n be s(8). Determine n*m(q) + 2*y(q).\nAnswer: -4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12\/(-18)*(-3)\/1*4 and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 <= -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*g**2 + 1)*(-3 + 8 + 4) + g**2 + 2*g**2 - 4*g**2 + (2 - 3 + 6)*(-9 - 7*g**2 + 9).\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143475 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -20. Let l be b + -13 - (-9)\/11. Let v(c) = -c**3 - 14*c**2 + 15*c - 7. Let f be v(-15). Which is smaller: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from osodvvooooovdw?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*i - 94 + 68, i = t - 11 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6*p*p**(2\/11))\/(p**(-1\/3))**(-40) assuming p is positive.\nAnswer: p**(-203\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 67*m - 760. Let y be t(13). Calculate the greatest common divisor of 2775 and y.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 + 29*v + 72. Let t be f(17). Let b(s) = s + 9. Determine b(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2723622 to 4 dps.\nAnswer: 0.2724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-126)*(-90)\/1220.\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 21 = 0, 2*d - 307*c + 16 = -312*c - 21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14505727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68586 (base 9) to base 2.\nAnswer: 1011001001110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.6 (b) -16 (c) 2\/9 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -170 - -172. Suppose 3*z - r + 727 = 4*z, r + 1451 = f*z. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*n, -n - 10 = u + 54. Let s be (-13)\/(-5) - u\/155. Solve -s*f - f = -4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxayyuayayh. Give prob of picking 1 y and 1 h.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 1930*o - 1104075.\nAnswer: 5*(o - 701)*(o + 315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (84 - 8018\/95)*(1\/((-6)\/(-4)) + 1)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 8 = 222. Suppose 5*d + 53 = -v. Let m = d - -57. Solve m - 10 = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 0*i**3 + 3*i - i**3 - i**2 + (11*i**2 + 10*i**2 + 6*i**2)*(3*i + 4*i - 5*i) as j + p*i**3 + g*i + c*i**2 and give p.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 129439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1458\/(-90))\/(-27))\/(4\/60*192\/80).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/8 and (15\/20)\/(3\/53).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1711\/3420 - 59\/180. Find the common denominator of g and 59\/38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -22*d - 33*d - 15*d + 32 + 66*d. Let g be t(2). Calculate the greatest common divisor of 126 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/4 (b) -279 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f = -4*z - 51, 3*z + 39 = 3*f. Is (12\/z + 0)*(-7490)\/15 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emsqshs. Give prob of picking 1 s and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2 - 1) + (64 - (21 + 97)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 2. Let t be d(-3). Solve 0 = 8*j + t*j - 45 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*m + 243, 273 = 3*n - 0*n - 5*m. Suppose 7*i = 572 + n. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 7*h + 5. Let m be t(7). Let d(o) = 5 + o**2 - 5*o**2 - m. Let q(v) = v**2. Determine q(d(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 34897000 to the nearest 100000.\nAnswer: 34900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 0 - ((-2)\/1 - -1). What is the derivative of -19 - 14*x**4 + 35*x**4 + x**l wrt x?\nAnswer: 88*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1297*p**4 + 50*p**3 + 6*p**2 + 9791875*p wrt p.\nAnswer: -15564*p**2 + 300*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79301313, 158602626, 237903939?\nAnswer: 317205252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**4*p*p*(p\/(p*p**(1\/12)*p)*p)\/p assuming p is positive.\nAnswer: p**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 1 + -3 - (-24)\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*l - 0. Is ((-4)\/(-8))\/(l\/308) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*3*(2 - 3). Suppose 2*f - 8*f = -6. Suppose -f = 2*b - 3*b. Is b < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**2 + 3*w**4 + 3*w + 17*w**2 + 3*w**4 - 10*w**2 in the form h + n*w**4 + i*w**3 + u*w**2 + m*w and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n + 10. Let f be r(9). Let z = f + 53. Let l be (-1 + (z - -13))*(5 + 17). What is the highest common factor of l and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 minus 152?\nAnswer: -151.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*u - 43*u - 4 - 31*u - 46*u - 25*u - 1.\nAnswer: u - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -59, -197, -417, -719, -1103, -1569, -2117?\n\"Answer: -41*x**2 - 15*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 14*s + 11*s + 3541 = 0, 2*s + 4238 = 6*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429305 to the power of 1\/2, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3*-34 + (109 - (183 + -83))\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 105877 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, a: 1, k: 1, m: 1, w: 1, y: 1}. Give prob of sequence ayx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**4\/6 - p**3\/6 + 3*p**2\/2 - 3*p - 4. Give a(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20380 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 8*u**2 + 9*u - 10. Suppose 0 = 7*b - 2*b - 35. Let p be n(b). Let v(h) = 0*h + 3*h - 4 + p. Let z(g) = -2*g. Determine z(v(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 3:27 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 + 6. Let w(j) = -2*j**2 + 5. Let y(o) = 5*t(o) - 6*w(o). Let d(g) = 2*g. Give y(d(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 + 22*f**4 - 177*f**3 + 616*f**2 - 784*f.\nAnswer: -f*(f - 7)**2*(f - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108225*m + 0 + 0 - 108225*m - 3*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g + 190 = 5*g + 46 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53181 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4507895 + 0.00743?\nAnswer: -1.4433595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 0 + 1\/3*o**3 + 10*o**2 + 17*o. Let z be j(-5). Solve 0 = 4*b + z + 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-348)\/616 + 4\/42 and -73\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbpp when four letters picked without replacement from pbpzpbbp?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 3*d**2 - d. Let z be q(3). Let j be 10\/4 + (-10)\/20. Suppose 0 = 4*o + 2*w + 4, -j*w + 1 = -3*o - 4*w. Is o bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (146 - (129 - -42)) + (-2 - -7 - 0).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9931 - -1271121\/128. Find the common denominator of i and -67\/12.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262304 and 5572.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4403.45*2.515.\nAnswer: -11074.67675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from {d: 1, i: 5, a: 3, v: 2, y: 8, u: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8835, -0.3, 2\/3, 43\/38, -3\/4, 3, -1?\nAnswer: 8835","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(12\/(-4)))\/((762\/1778)\/((-6)\/(-7)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1106 and 9954.\nAnswer: 9954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -45c?\nAnswer: -45a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**6\/360 + 2*x**5\/45 + 7*x**4\/24 + x**3 + 35*x**2 + 10*x + 1. Let d(v) be the first derivative of o(v). Solve d(c) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -26, -6, -3\/5, 3, 12, -0.4, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98*i*m**2 + 27*i*m - 65*i - 68*m**2 wrt m?\nAnswer: -196*i - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 34*p + 93. Give u(-11).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from {e: 5, u: 3, q: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -606*o + 0*o**2 - 2*o**2 + 54 + 639*o. Let f be u(18). Solve f*v + 5*v = -10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1744304414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -104 + 104. Let d be 1\/5*(s - -30)\/6. Is -2\/379 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-64)\/(-312))\/(-4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**5\/60 + 7*d**2 + 5*d. Let w(l) = 10*l**2 + 4*l. Let x(f) = -f**2 + f. Let v(p) = -w(p) + 4*x(p). Determine r(v(t)).\nAnswer: 196*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 + 1866130*s - 1741220588450.\nAnswer: -(s - 1866130)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176433 is divided by 3207.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*a = 2*g - 18, 9 = -2*g - 5*a. Let j be (g\/1)\/(1\/3). Suppose -7*h**3 + j*h**2 - 7*h**4 - 2 + 2*h**3 - 4*h + 4*h + 5*h = 0. Calculate h.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -25*l**2. Let g(w) = 390736*w. Calculate g(s(a)).\nAnswer: -9768400*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 673, 0.02, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4168*a + 77. Let b(i) = 17*i. Determine b(u(m)).\nAnswer: -70856*m + 1309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.084 + -0.014. Let k = w - -0.13. What is the third biggest value in 3, -0.2, -3\/4, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 s when three letters picked without replacement from skkkkkkkskskkskksk?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6510*d**2 - 664016*d - 413. What is c(102)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -29*r**2 + 8*r - 17. Let v(i) = i**3 - 5*i**2 + 3*i - 11. Let s be v(5). Let f(k) = -10*k**2 + 3*k - 6. What is s*y(j) - 11*f(j)?\nAnswer: -6*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -554 (b) 6 (c) 33 (d) 34\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q**3 - 43*q**2 + 35*q - 192. Let i be w(7). Let o(f) = -1 - 2*f - 2 - f - 2*f**2. Let u(k) = 4*k**2 + 7*k + 7. What is i*u(n) + 9*o(n)?\nAnswer: -2*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6085*u + 1903*u + 54054*u.\nAnswer: 62042*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*d - y, 37*d = 36*d - 5*y + 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + 29. Let i = 42 - f. Let v = i + 60.4. What is v rounded to 0 dps?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u**3 + 8*u**2 - 8*u + 8. Let y(h) = 7*h**3 + 5*h**2 - 5*h + 5. What is -5*f(t) + 8*y(t)?\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*u - 6 = 0, d + 1 - 23 = -5*u. Let 27*y**d - 2*y**2 - 8*y**4 - 10*y - 20*y**3 - y**4 + 14*y**4 = 0. Calculate y.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-7) - 506\/770. Let y = -1 + -2. What is the biggest value in y, t, 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3917752169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*a = 0, 0 = -v - 37*a + 42*a. Suppose v = 8*w + 7*w - 390. What is the remainder when 518 is divided by w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20754, -41481, -62160, -82767, -103278?\n\"Answer: 4*n**3 - 20755*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 8. Let o be a(-10). Suppose z - o = 41. List the prime factors of z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*m + 2*c = -50*m + 5, -2*c - 30 = -6*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 + -4.92. Let c = j + -0.05. Let i = -4.6 - c. Sort -1, i, -5 in descending order.\nAnswer: i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888 a factor of 491229280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 1\/6*k**3 + 0*k**2 + 4*k + 0. Let m(n) = n. What is d(m(a))?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12421\/9 - -1380. What is the nearest to 0 in 0.1, -8, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 12.7.\nAnswer: 38.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*t = 10 - 0, -t = -1. What is the highest common factor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1687 + 68 = 13*f. Calculate the least common multiple of f and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v - v)*(-634*v + 68*v - 865*v).\nAnswer: -1431*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y + 0*y)*(-5 + 2 + 1) - 1 + 1 + y + 3*y - 5*y + 4*y + 0*y - y - y + 739*y - 340*y + 636*y.\nAnswer: 1034*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/5 + 1834*n + 101112\/5 = 0. What is n?\nAnswer: -11, 4596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y + 3. Let t(l) = 7*l - 6. Let n(f) = 10*a(f) + 6*t(f). Let k = -2 - -6. Suppose 12 = -2*o + k*o. Give n(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(624\/36)*(-8)\/(-2))\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 182016821 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1423422 and 59724.\nAnswer: 8540532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**2 + 15*n - 256. Determine j(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13723 + 13723.3. Which is the biggest value? (a) l (b) -3\/8 (c) 1\/4 (d) -0.0029\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45571805*k**4 - 38690371875*k**3 - 76893885*k**2 - 38205*k.\nAnswer: 5*k*(k - 849)*(3019*k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 25, 23, 23, 25?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - h + 1. Let o(g) = -930*g**4 - 4*g**2 + 993*g - 7. Let k(w) = 5*d(w) + o(w). What is the third derivative of k(r) wrt r?\nAnswer: -22320*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/4 (b) 5 (c) -5 (d) 2\/1743845\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 18 + 239*m**2 + m - 20.\nAnswer: 239*m**2 + m - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1560853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + s - 10 = -2*h, -s - 2 = h. Suppose 5*r - 43 = -8. Calculate the smallest common multiple of 2\/(-4) - (153\/(-18) - h) and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -0.5, -5, -0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/14)\/t**(-11))**(2\/85) assuming t is positive.\nAnswer: t**(9\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 25008830?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -5) + (-45 - -39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10}. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*h + 10 = 0, -2*j - h = -1 - 3. Factor 5*r**4 - j*r + 4*r**2 - 5*r**4 + 2*r**3 - 5*r**4 + r**4.\nAnswer: -2*r*(r - 1)*(r + 1)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, -2, -5 in ascending order.\nAnswer: -5, -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 21*y**2 + 68*y - 33. What is n(18)?\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 15. Let v(j) = 3*j - 29. Let l(x) = 7*o(x) - 4*v(x). Let p(y) = y - 2. Give 6*l(n) + 33*p(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 - 49. Let t be ((-8)\/x)\/(3\/(-42)). Solve 0*b = 5*i - 4*b - 21, -4*i + 24 = t*b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(48)*-4).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10415074764 and 247.15?\nAnswer: 10415075011.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)*l*l*l*l*l\/l**0*l**(-3)\/l**4*((l**(-4)\/l)\/(l\/l**(-2\/3)))**(-48) assuming l is positive.\nAnswer: l**317","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 84296.31 grams in milligrams?\nAnswer: 84296310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = q, 3*r + 3*q = 31 - 25. Let o be (14 + -6)\/(-8) + r + 1. Solve -12 = -4*a, o*a + 2*a = 4*s + 27 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-23)\/(230\/(-24))*35\/4*2\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 h, and 1 r when three letters picked without replacement from rhhmhshhhhhhsm.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*(p\/(p**8\/p))\/p*p*p*p))\/(p*p**(-4\/11)))\/((p**9\/p)\/(p\/((p\/(((p\/(p*p**(-12\/11)))\/p*p)\/p*p)*p)\/p))))**(-1\/6) assuming p is positive.\nAnswer: p**(13\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 75\/(-12) - (-1)\/4. Let f = u - -9. Find the third derivative of 2*i**2 - f*i**2 - i**2 + i**3 wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16796161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -3*c - 324. Suppose 0 = 4*p + 3*l - 51, -c = -5*p - 4*l - 18. What is the lowest common multiple of 39 and p?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 4019414.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 590 divided by -6.\nAnswer: -295\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2 - 14*x + 8. What is z(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oieiiiaa. Give prob of sequence eio.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 69745553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(78)*2 + sqrt(78))*2*-6)\/(sqrt(216) + (sqrt(216) - (sqrt(216) + -2*sqrt(216))*-3 - sqrt(216)) + (sqrt(216) - sqrt(216)*1)*3 + sqrt(216)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - -2 - (10 - 18 - -194). Let u = 187 + k. Solve -4 = 7*p - u*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-2 + (-12 - -7)))\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 2030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3248 is divided by 88.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*z - 13, -5*k = -2 + 7. Suppose 4*y + y = 0. Let u be (5\/(-2))\/((-1)\/2). Solve -o = -z*l + 3*l - u, y = 5*o - l - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4) + (sqrt(64) - 2*sqrt(64)) + sqrt(64)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -14*l**2 - 102370*l + 307248. Determine v(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*sqrt(1539)*2)**2.\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 - (-3 + -5 - -4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/478 and -79\/18.\nAnswer: 4302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 + 9 - 6) + (1 + -17 - (29 - 38))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3652319.7ms?\nAnswer: 0.04227221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1631527 is divided by 1021?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(2\/13))\/a)\/a)\/(a*a\/a**6)*a\/(a\/a**1)*a**(2\/3) assuming a is positive.\nAnswer: a**(176\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 28*a - 170. Let v be k(6). Let g be v - (-78)\/12 - (-9)\/(-6). Solve 5*w + 4*f - 25 = 0, -g*w - f = -2*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -39. Let d(n) = 107*n**2 - 2012*n - 129. Let r be d(19). What is the greatest common divisor of r and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 348.\nAnswer: 7\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/12*1\/3 + 195\/60?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmlqqyl. What is prob of sequence yq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. Suppose -11 = -4*g + l, 24*g + 4*l = 27*g - 18. Solve 2*d = -u - 10, g*u - 15 = m*d - 3*u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 16*z - 19*z. Suppose -2*w - 4*a + 5778 = 0, 2 - z = a. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 + 18 + 29685*b - 29685*b + (-2 - 2*b + 2)*(3*b + b - 3*b).\nAnswer: 2*b**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4559\/21 + 217. Let s(n) = -n**3 - 5*n**2 - 1. Let r be s(-5). What is the third smallest value in r, i, 2\/23, 4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46046 - 95.9\nAnswer: -46141.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72.531 - -0.469. Is w at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56580.9835 to zero decimal places.\nAnswer: -56581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 148, -5, 622 in descending order.\nAnswer: 622, 148, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-54)\/(-7))\/((225\/(-600))\/(14\/(-8))). Solve 32*q - f + 196 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 9:34 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. What is the units digit of (4 - y)\/3*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 s when three letters picked without replacement from kckkakssskadkaadsk?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343402*m = -343399*m - 4*u + 9, 11 = 2*m + 3*u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 6\/13*k**2 + 0 + 14\/13*k**3 + 10\/13*k**4 + 0*k + 2\/13*k**5 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, p: 7, x: 5}. Give prob of picking 2 i and 2 p.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzz. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-33)\/12)*-20*(-3)\/(-6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 592 and 3902160.\nAnswer: 144379920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595319.\nAnswer: 595319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2 + 404*t + 1920 = 0. Calculate t.\nAnswer: -96, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 2263, 3.\nAnswer: 3, 83, 2263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*w = 181*w - 6, 74 = 4*v - 5*w for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22185129*q**2 - 8896362 wrt q.\nAnswer: 44370258*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (14\/(-2) + -126 + 125)) + 480\/15.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*g + 8 = 0, 3*g + 1 = -3*t - 5. Suppose 0 = -3*a - t*a + 72. What is the greatest common divisor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5787396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*a + 2. Let z(m) = m**2 + 8*m - 6. Let p(t) = 2*t**2 + 9*t - 5. Let f(b) = a*z(b) + 2*p(b). Suppose f(r) = 0. Calculate r.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 79051.2 and -18.5.\nAnswer: -1462447.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-20) + (-118)\/8. Let b = 4 - t. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 14*d**2 - 17*d - 46. Let f be y(-13). Calculate the highest common divisor of 4 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 + -3 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/27 (b) -2\/117 (c) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 2*p**2 + 16*p - 1. Give h(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 16*j**2 + 531*j + 2981. Calculate n(-26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjdjgjjjjjjjjjjj. What is prob of picking 4 j?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 69*x**3 + x**2 + 1. Let k(s) = s**3 + s**2. Let g(u) = 2*k(u) - r(u). Let d be g(1). Let n = -36 - d. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 12*q - 36. Let k be t(6). What are the prime factors of 1988\/k - (-1)\/(-9)*2?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -199, -289, -379?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7. Let t(k) = -k**2 - 29. Calculate 9*f(l) - 2*t(l).\nAnswer: 2*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244676 is divided by 15237.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4055 - 4058. Which is the closest to 0.2? (a) 4 (b) -0.4 (c) -1\/2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 1773*i - 1.\nAnswer: -1773*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -8. Let x = -582 - -594. Solve 0 = q*r + x - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 - 0.02. Let c = j - -0.29. Sort c, 2, 2\/9 in ascending order.\nAnswer: 2\/9, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 263, 611, 1283, 2435, 4223?\n\"Answer: 26*t**3 + 6*t**2 + 148*t + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 4. Let k = 11 - 6. What is the third smallest value in -0.4, k, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**2 - 14*b - 47. Let h(t) = -t**2 - 2*t - 10. Let f(m) = -6*h(m) + q(m). Give f(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2 - 11*u + 71. Let k be ((-7)\/2)\/((-20)\/40). Is y(k) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18371070 rounded to the nearest 100000?\nAnswer: -18400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -22 - 4)\/((-2)\/14) - 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4235*g = 2878*g + 135700 for g.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1 (b) 2105740 (c) 0.2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h + 450. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -69005, 2\/11, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 110\/(-5) + (-394941)\/(-47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51419115.1 minus -19.6?\nAnswer: -51419095.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-4 + 6 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*u + a, -5*a - 31 = -3*u - 3*a. Calculate the remainder when 13 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/2746 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4179495\/3555 + 8\/6)*(-1)\/(-11).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 2, m: 2, l: 1, s: 2, p: 1}. Give prob of picking 1 i and 1 s.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 363366*2.\nAnswer: 726732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -46500 divided by 3875\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13743, 27505, 41331, 55227, 69199, 83253?\nAnswer: 97395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzcszzzc. Give prob of picking 3 z and 1 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**4*v + 435*b**4 + b*v - v + 504 wrt b?\nAnswer: -36*b**2*v + 5220*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 311 - 55 = 0. Let q = r - 39. What is the remainder when 49 is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-20 + 8 + 17)*(3*n - 2*n + 0*n) + n + 2*n - n - 4*n + 4*n + n + (-1 - 4 + 3)*(2 - n - 2) + 0*n - 3*n + n)*(62 - 62 + 4*n).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -665 and 457.376.\nAnswer: -304155.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 - -55. Suppose 5*b - 2*r + 26 + 2 = 0, -4*r + 16 = 0. What is the units digit of (-1869)\/y + (-1)\/b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -151 + -7a7?\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 4*d + 2*m - 14, m = -3*d - 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21459860 divided by -6?\nAnswer: -10729930\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -480 - -437 - (-12 - 0) - 2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -10.1. Let k = u + -1.1. Let m = 0.3 + -0.2. Sort m, k, -5 in decreasing order.\nAnswer: m, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1044 - 593. What is the greatest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -25. Suppose 4*f - 2*n = 22, 0*f + n = -2*f + 1. Let d(z) = z**3 - 6*z**2 + 4*z + 7. Let q be d(5). Solve -h*u = -q*u - f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 360 = 2*t, -4*p - 84 = -4*t + 636. Let g = 299 - t. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113\/204 + 10\/51. Let f = 1831.7 - 1832. Put f, -2, 4, r in decreasing order.\nAnswer: 4, r, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -99*a - 977. Give i(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 13 = -7. Suppose -5*z + 50 = 2*k, -z = 2*z - 4*k - 56. What is the remainder when z is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 44, 59, 74, 89, 104?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - d**2. Let i(f) = -12*f**3 - 132*f**2 - 243*f - 123. Let v(t) = 15*c(t) - i(t). Find x such that v(x) = 0.\nAnswer: -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6025482 divided by 25002.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(162)*1*-1)\/(-3*5*-2*sqrt(576)).\nAnswer: sqrt(2)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 91063435\nAnswer: -91063435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458*b + 70 = -444*b. Solve 5*h - b*o = -5, -5*h + 0*o = -3*o + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-5)*(-20)\/12*132\/396\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10247 + 10241. Which is the closest to -0.1? (a) -4 (b) i (c) -3 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -58.3 and -1.16?\nAnswer: 67.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/3)\/a*a)\/a*a**(1\/5)*a)**(-44) assuming a is positive.\nAnswer: a**(-1012\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*x - 2*x**3 + 61*x - 5*x**3 wrt x?\nAnswer: -42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*h + 5*h - 492, h + 3*c - 486 = 0. What is the greatest common factor of 1692 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596113627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002737185918 rounded to 6 decimal places?\nAnswer: 0.002737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuu when three letters picked without replacement from wiiiuzwwiiuziwiwi.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 32.46905mg?\nAnswer: 0.00000003246905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-12))\/(7\/42)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 2*c - 1. Let r be n(2). Let h be (-32)\/(-14) + (-10)\/35. Suppose 0 = h*a - a - 5. Sort r, a, -6.\nAnswer: -6, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -9 (b) -16 (c) 0.1 (d) 37 (e) 63\/4 (f) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.41972 millimeters in kilometers?\nAnswer: 0.00005741972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -3, 9, -0.4, -1\/127, 0.4.\nAnswer: -3, -0.4, -1\/4, -1\/127, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 25 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/8*204\/(-102)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + k + 0 + 0 - k - 2*k - 2*k + 5*k + (1 - 1 - 1)*(2*k - 2*k - k) + 2*k - k + k + 7*k + 9*k + 3*k)*(2*k**3 - 3*k + 3*k).\nAnswer: 46*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1324 and -972954.47?\nAnswer: 974278.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/10)\/(((-40)\/(-5))\/2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**2 + 2*y**2 - 5*y**2 + 3*y**2.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 11:51 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 324532*m - 407725 wrt m?\nAnswer: 324532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 5*u + l + 65779, 2*u - 43861 = -l. Suppose -3*c = 5*c - u. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2202 = r - 7*r. Let d = r - 384. What is the common denominator of 101\/108 and d?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98 or 660?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3*f + 4*f + (1 + 1 + 0)*(-5 + 5 - f) - 1 + 1 + f - 9 - 6*f + 9)*(139*f - 108*f + 73*f).\nAnswer: -520*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381052797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1756 + -1752. Let v = 64 + -38. Solve l*d + v - 10 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -3*s. Let u(j) = 0*j**3 - j**3 + 2 + 19*j + 3 + 14*j**s - 2. Is u(15) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112204516 to the power of 1\/2, to the nearest integer?\nAnswer: 10593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 16*v + 15*v - 318, 0 = -3*v. Let d = -201 - -102. Let a = d - c. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmtb when four letters picked without replacement from ltlbbllmltlufultlll.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 469*m + 88163. What is o(-188)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 1482?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -69, -0.5, 3.1, 0.04?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 + -61. Suppose u = -3*f + 33. Solve 0 = 4*h, 5*h - h - f = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26466, 51294, 76122, 100950, 125778, 150606?\nAnswer: 175434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1028055992?\nAnswer: 2, 2339, 54941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96079 is divided by 247.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*n**2 - 5*n - 36*n**2 + 74*n**2 + 3*n + 3 in the form v*n**2 + t*n + j and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201100101201 + 1210?\nAnswer: 201100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -759429270 divided by 270.\nAnswer: -2812701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**(-7))\/v)\/v**(-8))\/((v\/(v\/(v**(2\/109)*v)*v))\/v**(-7)) assuming v is positive.\nAnswer: v**(-547\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/51 (b) 0.082 (c) -3 (d) 3\/2 (e) -2\/7 (f) -0.2 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-26)\/(-6))\/((-7)\/13860). Let m = t - -68555\/8. What is the common denominator of 58\/5 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*z = -64*z - 5*g - 81, -3*z + 369 = 3*g. Which is the smallest value? (a) 5 (b) -1.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 6:33 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 370 - 374. Which is the closest to 8? (a) s (b) 3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12990144?\nAnswer: 2, 3, 29, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 11*k**2. Let z be c(-11). Suppose -5*g + 3*s + 366 = z, 0 = 2*g - 3*s - 114 - 36. Calculate the highest common factor of 24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4046*x**3 + 409924*x**2 - 409924*x**2 + 2 to m*x**3 + d*x**2 + y + k*x and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -889*m + 367*m - 306*m - 58310 = 887*m for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/33)\/((-1)\/(-1)*2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 15, 8*i + w = 6*i + 245. Let q = -126 + i. Is (-8)\/(-16) - 5857\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9*t**2 - 6*t**2 - 2*t**2 + 7*t + 4. Suppose -4*w - 2*k - 16 = 0, 4*w + 3*k - 42 = 9*w. Calculate o(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + u = -3*f - 28, 20 = 4*u - f. Let k be 10\/6 + 2\/6. Suppose 0 = k*d + 2 - u. Is -1\/6 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*s**3 + 6812561*s + 1 - 6812561*s - 5.\nAnswer: 38*s**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 4:29 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16922751?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4*(-6 + 0). Let b be ((-4)\/42)\/(57\/9 - 7). Let m = 21 + -21. What is the smallest value in m, b, v, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*j - 2 = -0*z, -4*j - 89 = -3*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/371 (b) -4 (c) -1 (d) -3 (e) 60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24625581 divided by -1389.\nAnswer: -17729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*f = 78*f + 9*t + 74, -26 = 9*f - 11*f + 3*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 - 6. Let j(c) = -c**2 - 3. Let t = 197 - 204. What is t*j(q) + 4*n(q)?\nAnswer: -q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2645, -10558, -23713, -42110?\n\"Answer: -2621*v**2 - 50*v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -200 - -753. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, v: 3, k: 3, o: 2}. What is prob of sequence uo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 117957193501+-5\nAnswer: 117957193496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3438663535 to the nearest integer?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 510\/357*(-35)\/10. What is the fifth smallest value in -0.1, g, 3, -3\/79, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/16*64\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*i - 31*i + 43*i - 7018. Calculate the smallest common multiple of 209 and i.\nAnswer: 2299","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2\/3*m**4 + 0*m**3 + 2\/3*m**2 + 0 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -11 + (-1 - 4) + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*u + 0 + 38 = 0, u - 1 = 0. What is the highest common divisor of a and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 2*g - 3. Let v be q(-4). Suppose -v*b = -6*b + 11. Suppose f = b + 3. Calculate the least common multiple of f and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 0 + 9 + 18 + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z = -12*z + 74. What is d in 3\/4*d + 0 + 1\/4*d**z = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yymyyyyyyyyymmyymy. Give prob of picking 2 m and 1 y.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - -1. Suppose -4*s = -5*w + 8 + 23, 2*s = 2*w - 14. Sort 0, s, u.\nAnswer: s, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3177, 6369, 9569, 12777?\n\"Answer: 4*d**2 + 3180*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -13*q**2. Let c(k) = k. Let n(h) = 4*h. Let m(s) = 7*c(s) - 2*n(s). What is m(j(d))?\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjjn when four letters picked without replacement from pmjjpccnpncpnn?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1116)\/(-10))\/(2\/10). Suppose -2*n + a = -367, n - m = -2*n - a. Suppose 5*k - n = -5*v, -4*k + 62 + 49 = 3*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - r - 156. Let y = 681 + -578. Let b = y + r. What is the greatest common factor of 225 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**5 + 75*j**4\/4 - 5*j**3\/3 - 75*j**2\/2 - 289. What is i in t(i) = 0?\nAnswer: -15, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.252 less than -0.51?\nAnswer: -0.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((13\/((-1820)\/(-15)))\/((-42)\/(-98)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(-4*d + 17*d + 4*d)*(-1 + 1 + 2*d)*(123*d - 18*d - 13*d).\nAnswer: -6256*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13247, 16059, 18871, 21683, 24495, 27307?\nAnswer: 30119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1726840, 3453639, 5180440, 6907243, 8634048, 10360855, 12087664?\n\"Answer: t**2 + 1726796*t + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5062316411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 96a28?\nAnswer: 96a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 33883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22748, -22807, -22904, -23039, -23212, -23423?\n\"Answer: -19*s**2 - 2*s - 22727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -6\/208225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-27)\/(p\/(p*p\/(p\/(p**(15\/2)\/p)))))\/((p**(-2)*p*p)\/(p\/p**(-4))))**(-2\/37) assuming p is positive.\nAnswer: p**(31\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 1 + 16 = -83. Solve -5*z + 2*w = 3*w - 19, 8 = s*z - w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2723 - 11276971257.\nAnswer: -11276971255.7277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189.8 + -844.219.\nAnswer: -654.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -1)\/1 + 4. Suppose v - 10 - 3 = 2*i, 5*v - 3*i = 30. Suppose p - 2 = -0*p. Sort v, p, c in descending order.\nAnswer: c, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 10:48 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:04 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -22*i**2 - 17*i + 3570. Let j be x(0). Calculate the greatest common factor of j and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.81633 - 972.\nAnswer: -967.18367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1746*u - 3489*u + 1749*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 4*u - 2*u**3)*(-2 + 2 + u) + u**2 - u**2 + 8*u**4.\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1267 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 37, 44, 49, 52, 53, 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -763*f + 758*f = -4425. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**3 + y**3 + 2 - 27*y + 30*y + 2*y**2 - 2*y**4 as z*y**3 + d*y + t + s*y**2 + w*y**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633734.\nAnswer: 2, 43, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -405 - -411.02. Let t = -42.98 - r. Is -2 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 36 = -5*d + 2*d, -4*d + 46 = 2*p. Let k = 9 - 40. Let w = 7 - k. Calculate the remainder when w is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6 - 484\/(-6). Suppose -5*d - 5*b = -300, -5*d + 222 = 4*b - p. What is the smallest common multiple of 18 and d?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 10 = h, -2*r - 14 = -h + r. Suppose w + h = 2*u + 5*w, -3*w + 20 = 5*u. Sort -2, u, 5 in descending order.\nAnswer: 5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 35 - 119*j**2 - 9 - 164*j + 42. Let g(l) = 60*l**2 + 82*l + 1. Let k(c) = -5*g(c) - 2*t(c). Find the second derivative of k(r) wrt r.\nAnswer: 12*r - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1502999802.\nAnswer: 2, 3, 83499989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 11 + 28 - -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.88196 decades to centuries.\nAnswer: 0.788196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 3 + 253*s - 263*s.\nAnswer: -10*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5\/4 (b) -5 (c) 52 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (39 - 4)\/(-5)*1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/3 + 4)\/((-1)\/4). Suppose -28 = 5*a + 3*m, -i*m + 0*m = -3*a - 11. Put 4, -4, a, -6 in increasing order.\nAnswer: -6, a, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 4)*(1 + 2 - 4)*(1888*a - 668*a - 92*a).\nAnswer: 9024*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q**5 - 10874*q**4 + 58318*q**3 + 119002*q**2 + 19504*q - 30296 = 0. What is q?\nAnswer: -1, 2\/5, 7, 1082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53990 + -53990.2. Let m be (-4)\/14 + (-26)\/(-42). What is the closest to c in m, 3, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**2 - n + n**2 - 2*n)*(-6*n + 2*n - 2*n)*(n + 3*n + 0*n) as d*n + w*n**2 + u*n**3 + f*n**4 + t and give u.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 97, 122, 147, 172, 197?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2815*n**2 - 17 + 2819*n**2 + 17.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-5)\/(15\/2). Let i = 2.18 + -2.58. Sort -5, i, u in decreasing order.\nAnswer: i, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -9*j**4\/4 + 471*j + 7. Let w(c) be the first derivative of -3*c**2\/2 - 1. What is w(k(d))?\nAnswer: 81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**1*l))*l\/(l\/(l\/(l\/(l*l**6)))))\/((l*l**(-2\/15))\/l*(l**(3\/4)*l*l)\/l) assuming l is positive.\nAnswer: l**(443\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**10\/630 + y**6\/45 + y**3\/2 + 6*y. Let c(x) be the second derivative of l(x). What is the third derivative of c(j) wrt j?\nAnswer: -960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*i - 754 = -0*i, -5*c = 3*i + 1871. Let o = -368 - c. Solve 0 = 3*h - 14 + o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -4*o - 25. Solve -5*q + 4*d = -5 - 0, 0 = -o*q + 5*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 l, 1 w, and 1 f when four letters picked without replacement from {w: 3, l: 4, f: 3, c: 3}.\nAnswer: 108\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*u - 23 + 17 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)*f**(-1\/12)\/f*f*(f**(-4)\/f)\/f**6)\/((f\/(f\/(f*f*(f\/(f**2*f*f))\/f*f)))**26\/((f**(5\/6)*f)\/f*((f*f**(-3)*f*f)\/f*f)\/f)) assuming f is positive.\nAnswer: f**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*6*(sqrt(88) + sqrt(88) + 3*sqrt(88)*2)\/(sqrt(8) - (sqrt(8) + 4*((sqrt(32) - sqrt(8)) + sqrt(8)))) + 0)**2*-6.\nAnswer: -85590 - 1296*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2587338909 to the nearest integer?\nAnswer: 50866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**38*j*j**(1\/17)*j assuming j is positive.\nAnswer: j**(698\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101.0126 + 101. What is i rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/50)\/((-4)\/(-10)). Let x = 271.6 + -271.7. Which is smaller: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10418 (base 9) to base 3.\nAnswer: 100110122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 3:26 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*i + 176, 3*i - 27 = 2*k + 242. What are the prime factors of i?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 h when four letters picked without replacement from {n: 11, h: 1, w: 3}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 87 = 2*g - 5, 3*a - 2*g = 118. Calculate the greatest common divisor of a and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -19*q + 40. Which is the nearest to q? (a) 0.07 (b) -4 (c) -1 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3402 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2102 - -1?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -50*((3 - 4) + -1). Let y be (-6)\/2*(-6)\/(-2). Let v = 11 - y. What is the greatest common divisor of v and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2464 - -3534. List the prime factors of g.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/194346 and 95\/4815462?\nAnswer: 43339158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -96, -95?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (10 - (-8 + 7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, c: 3, s: 4, p: 2}. Give prob of picking 1 s and 2 p.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**5\/12 - 5*s**3\/6 + 9*s**2\/2 + 9*s. Let y(k) be the first derivative of n(k). Let y(v) = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55747745 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2410001 (base 5) in base 10?\nAnswer: -44376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 232702 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(17\/2)*a)\/a)\/a*a*a*a\/(a\/((a\/a**33)\/a))*a*(a**13*a)**32)**(-10\/13) assuming a is positive.\nAnswer: a**(-4255\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 + -2 - 38) + 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 5. Let x be a(6). Let p be (x + 0)\/((-2)\/2). Does 3 divide 16\/((-4)\/p) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115.071 + 0.929. Let v = -1044.63064 + 928.63. Let f = l + v. Round f to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -833*y + 830*y + 24 = 3*z, -3*y + 4*z = 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(50)\/sqrt(5)) + -4.\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -235 * -39\nAnswer: 9165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(1\/3))\/k)\/k)**(-4\/27)\/((k*k**(-1\/6))\/k**4)*(k\/(k\/(k*k**7))*k**(-2\/7)\/k*k)**12 assuming k is positive.\nAnswer: k**(108679\/1134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 4. Let i be y(-2). Suppose i*j - 3 = 3*j. Which is greater: -5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o + 10. Let q be x(-3). Suppose 5*a - q - 66 = 0. Let c = 20 - a. Solve c*g + 0*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126337 take away 2756?\nAnswer: -129093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -69158852 divided by 742?\nAnswer: -93206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -83279180 rounded to the nearest 100000?\nAnswer: -83300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 111930435 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(((sqrt(468) + 2)*-5 - sqrt(468)) + -2) + -1)**2.\nAnswer: 281232*sqrt(13) + 5505841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u + 3. Suppose -l + 0 - u = 0. Let p(v) = 4*v**3 + 3*v + 2*v**3 - 2*v. What is p(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -9.8. Let t = p + 1.1. Let w = -1.099988 - t. What is w rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m - 3*d = 108, 3*d - 108 = 5*m. Suppose 47*k - 72 = 50*k. Let v = m - k. Solve v*b = b - 1, 4*b = 5*u - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101763.\nAnswer: 3, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5 - 3*y**4 + 42*y**3 - 100*y**2 + 72*y.\nAnswer: -y*(y - 2)**3*(y + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(6)*2 + sqrt(6))\/sqrt(2).\nAnswer: 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1214333101 (base 5) to base 11.\nAnswer: -16a1869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9491 + -9479. Let o be (-3 - -1)\/((-29)\/58). Let h = -2 - -6. Solve -h*w = -j, 10 = -g + w + o*w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 147 = -3*m, -24*m + 25*m + 3 = 0. Let v = 299 + -46. What is the greatest common divisor of o and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276167.2 nanoseconds in milliseconds?\nAnswer: 0.2761672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 461031862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1575*q + 35988 - 7996 = 7143 - 27976 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -65. What is the nearest to -2\/7 in -2\/3, a, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 44\/21, -1.\nAnswer: -1, 0.2, 44\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -4)*((-581)\/210*-6 - 13).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -1088, -3669, -8698, -16991?\nAnswer: -29364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*w + 10 = 0, 3*o + 5*w = -2*o - 5. Suppose -2*j = 2*v - 10, -4*j + v + 22 = 4*v. Calculate the remainder when j is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 9*m - 2*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 293837496 greater than or equal to 293837494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 i when three letters picked without replacement from {c: 7, f: 7, i: 5}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 + 36 = 0. Differentiate -1 - 74*m - 139*m + 50 + d*m with respect to m.\nAnswer: -183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i - 6*i - 7*i. Let m(q) = 12*q**2 - 5*q. Let t(a) = 38*a**2 - 16*a. Let d(b) = 16*m(b) - 5*t(b). What is d(u(g))?\nAnswer: 162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -825*h - 4942. Calculate l(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 8:15 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 87 (c) -2\/7 (d) 1\/2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 88*s + 2. Let a(q) = -2375*q - 55. What is -2*a(h) - 55*u(h)?\nAnswer: -90*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 - 371*c\/3 + 7332.\nAnswer: -(c - 52)*(c + 423)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45 - -341?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f*f**(2\/9)*f*f)*f))\/((f\/((f\/(f**(2\/7)*f)*f)\/f))\/f))\/((f\/(f**1\/f)*f)\/f)**12)**43 assuming f is positive.\nAnswer: f**(-27262\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35340 and 3968.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-19)\/((-95)\/150)*6\/5 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59\/4 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*5*32\/96?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4449 - -3?\nAnswer: -4446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 - -97. Let y(s) = s + 11. Let u be y(-8). Suppose u*o = 5*g - 260, 3*g - 70 = 2*g - 3*o. Calculate the greatest common factor of i and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 127. Let s(m) = -2*m. What is k(s(u))?\nAnswer: -2*u - 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 46?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) 4 (c) -52 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 360?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 39. Solve -3*r = h + 9, -h + 3*h = -f*r - 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 692.\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 11:14 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 2*g - 20*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.05332.\nAnswer: -0.15996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89639885, 89639882, 89639881, 89639882, 89639885, 89639890, 89639897?\nAnswer: 89639906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 66\/8 + 1\/(-4). Suppose 2*y - 39 = -4*j - 31, 2*j + 5*y + 4 = 0. Suppose z = -m + 4*n, -4*m - 2*n + 31 = j*n. Sort 0, -2, m.\nAnswer: -2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 48.9?\nAnswer: 24.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -1. Let j(o) = o**2 - 5 + 2*o + o**2 - o**2 - 4*o. Let z(w) = 5*g(w) - j(w). What is the second derivative of z(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1015304*q*w**3 - 5*q*w**2 + 1026052*q*w - 2*q - w**3 - 9 wrt w.\nAnswer: -6091824*q*w - 10*q - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -56\/42709 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4798 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*z**2 + 16\/5 + 12\/5*z = 0 for z.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 55*m + 18 = -56*m, 3*f + 4*m + 21 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b - 110. What is m(2)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5776588 and 552.\nAnswer: 34659528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47*1.6.\nAnswer: 75.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1445*c = -162*c - 84678 for c.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34865397 by -243.\nAnswer: 143479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -403 - -407. Factor -5*q**2 - 25 + 5*q**3 - 4*q**d + 25 - 5*q**5 + 9*q**4.\nAnswer: -5*q**2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 11 - 37 = 0. Let p be a\/(-8) - 1\/(-2). Find the third derivative of 14*h**4 - 11*h**4 - 2*h**p + 3*h**2 wrt h.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/7))\/(h\/(h\/(h\/(h*(h*h**1)\/h)*h)))*(h**4*h)**20 assuming h is positive.\nAnswer: h**(708\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.12 - 0.12. Which is greater: 10 or o?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447.003 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 5*i + 5. Let q be b(-5). Let f(t) = 28*t + 2380. Let w be f(-85). Let a = w - q. What is the remainder when a is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190223.\nAnswer: 11, 17293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 492013, 491899, 491785?\nAnswer: 491671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -207080 by -10.\nAnswer: 20708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 2:52 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -240620\/31, 0.1, -3\/7 in ascending order.\nAnswer: -240620\/31, -3\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 80849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -5. Let j be (8\/(-18))\/((-2)\/r). Suppose f + j*f = 0. Do f and 0 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526275, -526295, -526315, -526335?\nAnswer: -526355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 16641\/5, 1\/3, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5) + (-24)\/(-10). Suppose 12*j - 210 = 54. Suppose j = -14*g + 8. Sort g, -3, u in ascending order.\nAnswer: -3, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4\/3 - 3928*x**3\/3 + 1010869*x**2 - 662856980*x\/3 + 659828300\/3 = 0. Calculate x.\nAnswer: 1, 470, 2987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 13) to base 16.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 11:14 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12447 and -0.5?\nAnswer: 6223.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-168))\/((-13)\/(455\/10)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -19, -476.3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-1134913.\nAnswer: 5674565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -619899 and -0.054?\nAnswer: 33474.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 4*p + 3 + 7*p + 2 + 1.\nAnswer: 3*p + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 134.9 + -135. Which is the third smallest value? (a) p (b) -14\/9 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 1, b: 2, o: 2, z: 1, f: 1}. Give prob of picking 1 b, 1 t, and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 49 - 23. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t + 15 = 75 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(75) - 1*sqrt(75))**2*-5 + ((1 + sqrt(75))*1)**2 + (3 + sqrt(75)*-1)**2*-3)*5.\nAnswer: -905 + 500*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1942 and -29\/4.\nAnswer: 3884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718 is divided by 134.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24809636 to the power of 1\/3, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 13*h - 9*h - 5*h)*(5*h - 5*h + h).\nAnswer: -27*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 0 + 7 + -2. Let g(s) = -8*s**2 + 5*s + 1. Let h(i) = -7*i**2 + 4*i + 1. Let r = -21 - -23. Let w be (-26)\/6 + 5\/30*r. Calculate w*g(b) + x*h(b).\nAnswer: -3*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 75054569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3852c + -230?\nAnswer: 382fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 133*j - 527. Give i(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 + 7*u - 4. Let s(g) = 3*g**2 - 8*g + 4. Let p(t) = -3*s(t) - 4*z(t). Let n be p(-4). Let b be 204\/(-340) - (-43)\/5. Solve -n + b = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, y: 9}. What is prob of picking 4 h?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 0 - (4 + 10 + -13)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -211, -380, -549?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*s**3 - 1180*s**2 + 1225*s - 310.\nAnswer: -5*(2*s - 1)**2*(3*s + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2782)\/642 - 728\/(-6). Solve y = 75*q - 88*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 g when three letters picked without replacement from sgsvssaagvv?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 889 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3*z = 22, -4*c = 4*z - 21 - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9433695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -29, -3, -83, 4, 3 in increasing order.\nAnswer: -83, -29, -7, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267738 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -7 + 16. Suppose -4*s + 120 = 3*c, -v*s + 90 = c - 5*c. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 49 + 1 - (-2)\/(-1). Let w = -1\/631 - -11994\/3155. What is the common denominator of w and 748\/j + (-1)\/(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**5\/60 - l**2 - 16*l. Let c(v) be the second derivative of 0*v**3 + 0*v**2 + 0 - 4*v - 5\/6*v**4. What is c(h(a))?\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaayleyyillaa.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m + 1. Let g be s(3). Let j = 191 + -187. Let y be 235\/60 + j\/48. Put 1, y, g in descending order.\nAnswer: g, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2491 divided by -47\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.17233 and 0.5.\nAnswer: -4.086165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**3\/3 + 11*n**2\/2 + 8*n - 1. Suppose 4*v + 17 - 61 = 0. What is the units digit of o(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - (3 + -3))\/(-2). Suppose -5*v + 51 - 20 = 2*l, o*v - 12 = l. Suppose -14 = -4*t - l*t. Solve j + 12 = 3*h, 5*h - 11 = 4*j + t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*z = 1084 + 1376 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -39*y**2 - 35*y. Let w(f) = 2*f - 98. Calculate w(d(p)).\nAnswer: -78*p**2 - 70*p - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + 14\/6. Suppose 2*j + 5*d + 14 = -0*j, d - 4 = y*j. Let m = -2 + 3. Which is the closest to m? (a) 2 (b) j (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*t**3 - 29*t**3 + 17*t**3.\nAnswer: 287*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**2 + 118624*t - 1758956672 = 0.\nAnswer: 29656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1 (b) 3 (c) -28\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 19*b**2 - 39*b + 62. Calculate u(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 - 2*f - 1\/5*f**2.\nAnswer: -(f + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98*a**2 + 97*a**2 - 2 + 13 - 2*a)*(6*a - 6*a - 6*a**2).\nAnswer: 6*a**4 + 12*a**3 - 66*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 2, -11, -30, -55, -86?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 16) to base 12\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -2)\/6 - 77\/(-21). Suppose 0 = -5*a - 4 - 16, -o*n - 3*a + 356 = 0. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 - 871*x - 8886. What is m(300)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -2*g + 5, -m + 28 - 13 = -2*g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/15*4*(774\/72 + (-1)\/4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*l - 50*l - 360. Let f be (l\/15 - 1)*-5. Solve 0 = f*w - 21 - 34 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 23*m. Let h(w) = 9*w + 3919. What is h(p(c))?\nAnswer: 207*c + 3919","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 3, z: 1, f: 4, q: 1, g: 2}. What is prob of picking 2 g and 1 n?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 176 + -174. Solve 5*q + 2 = -f*t, -2*t = -3*q + 2*t + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**2 - 29928*k - 28586092 = 0.\nAnswer: -857, 8339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 5:31 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 9:53 AM?\nAnswer: 198","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -48193, -192456, -432893, -769504, -1202289, -1731248?\n\"Answer: -48087*d**2 - 2*d - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2432 - 3?\nAnswer: -2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6138375 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16910651 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -22\/5*g**2 - 6 - 5\/4*g**4 - 8\/5*g - 14\/3*g**3. Factor l(a).\nAnswer: -(a + 2)*(5*a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - (-357096)\/(-160)*2\/744. Does m = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(4)*-2))\/((sqrt(160) + sqrt(10))*-6 - sqrt(10)) + 2.\nAnswer: sqrt(2)\/62 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973313703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/60 and 39\/50.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 145*x**2 - 920*x + 1680.\nAnswer: -5*(x - 21)*(x - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 2 = 5*r. Suppose 0*s - 3*s = 9. Let n be 8\/12 + 11\/s. Is r <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 413 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 5*b**2 - 6*b - 6. Let i be q(-4). Suppose i*j = j - 3. Let n(h) = -h**3 - h**2 - 3. What is the remainder when n(j) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 285648 + 192035 = 1409977. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2 - 7 - 5*c**2 - 13*c - c - 1. Let f be m(-13). Let o(n) be the third derivative of -n**4\/24 - n**3\/2 + n**2. What is o(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 2:00 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, -15, -19, -25, -33, -43?\n\"Answer: -s**2 + s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2823949ml to litres.\nAnswer: 0.0002823949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*x**2 - 2*f**2*x - 7*f**2 + 5*f*x + 81*x**4 wrt x?\nAnswer: 2*f**2 + 972*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31956.41t?\nAnswer: 31956410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 58 = 50. Find the third derivative of -7*s**2 + 6*s**2 + 48*s**h - 34*s**4 wrt s.\nAnswer: 336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**7\/1260 + o**6\/90 - 7*o**5\/60 - 4*o**2. Let g(c) be the third derivative of a(c). What are the prime factors of g(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.9699 to two dps.\nAnswer: -7.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 72*h**2 + 2\/7*h**4 - 112*h + 0 - 60\/7*h**3 = 0.\nAnswer: 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3683\/208 - -179\/13. What is the common denominator of r and -7\/3314?\nAnswer: 26512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 258 divided by 2\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + 1514.3277324?\nAnswer: 1457.3277324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 24 = -129. Suppose 2*u - 11 = -w, -2*u + r = 5*w + 6. What are the prime factors of w*(-7 - -2)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214.13469405 minus 5?\nAnswer: -219.13469405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*w + 16870 - 75658, 98015 = 5*p - 5*w. Round p to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 51777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Let c(a) = a + 4. Let d be c(-4). What is the closest to d in y, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q + 1. Let f(c) = -258*c - 258. Calculate -2*f(j) - 516*g(j).\nAnswer: -2580*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -750465 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 235*l = 231*l - 3792, -2*j - 2*l = -1860. What is the highest common divisor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y = 32*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 2232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from gugggguuuuuug?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 488 and 6.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Factor r*j**4 - 4*j + 2*j**5 + j**2 - 3*j**2 - j**5 + 3*j.\nAnswer: j*(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j - 59. Give y(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13164054?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -225 + 446. Calculate the remainder when g is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 21, 91, 231, 465, 817, 1311, 1971?\nAnswer: 2821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10184 (base 10) in base 12?\nAnswer: -5a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.18 - 0.02. Let h(x) = -3*x**2 - 13*x - 12. Let n be h(-1). Which is the third smallest value? (a) 3 (b) u (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 2*s - 3. Let y be w(-5). Let c be y\/30 - 4\/10. Let f be 25 + c\/1 + 0. Solve -42 = 3*b + 4*q - 7, -q = 4*b + f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 32, 38, 38, 26?\n\"Answer: -t**3 + 6*t**2 - 5*t + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -694, -1391, -2088, -2785?\nAnswer: -3482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3324901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30910\/13207)\/(35\/1645).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -91923 + 1645?\nAnswer: -902ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(3 - -5) + 1. Let t be f*3*15\/(-3). Suppose 2*w = 16 - 6, 5*j + 2*w = t. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 13709440 and 32920.5.\nAnswer: 13742360.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -16*z**2 + 231*z + 325. What is k(16)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 118?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -316.\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(343)*2))**2 - (sqrt(35)\/(sqrt(14)\/sqrt(2)) + sqrt(20)\/sqrt(4)*5 + sqrt(5))**2.\nAnswer: -48015\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*g**5 + 45*g**4 + 440*g**3 - 270*g**2 - 430*g + 225 = 0. Calculate g.\nAnswer: -5, -1, 1\/2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 34 + 11. Let o = 137 - 106. Suppose 5*l = -h, -o + 169 = 3*f - l. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 9. Let n be y(-9). Let b(u) = -u**3 - u + 2. Let s be b(n). Solve -4*c = -s*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 11*p**2 - 2*p - 16. Let x be c(-11). Solve 4*k - l = -2, x = -0*k + 5*k + 3*l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o = c - 1507, -3*o + 3015 = 2*c. Suppose -10*n = 356 - c. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5. Let q(o) = -o**3 + 5*o**2 - 4*o + 1. Let r be q(2). Suppose -3*y + 4*m + 306 = i, r*m + 154 = -4*y + 562. Is y a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*b = -23, 3*s + 10 = s - 4*b. Suppose g = 5*v + 5, -s*v + 4 = 7. Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 5*w. Let j(i) = i + 4. Let y be j(-7). Let s be 2 - y\/(-6)*-4. What is t(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*((-27)\/(-6) - 2\/(-4)). Solve -4*d - 3*f - 9 = -0, -d - r*f = 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 8*j + 5. What is t(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -26 (c) 14 (d) 4 (e) -2 (f) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6921019\/138 - -50152. Let j = 13\/69 - n. Let k = -0.2 - -3.2. Put j, k, -0.4, -6\/7 in ascending order.\nAnswer: -6\/7, -0.4, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-4)*6\/14. Which is bigger: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s - 3*s + s**2 + 0*s. Let q be t(3). Solve 1 + q = 4*j + 2*u, 5*u - 22 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + 6*f**2 - 3*f**2 + 3*f**2. Let s(w) = -53*w. Calculate l(s(h)).\nAnswer: 11236*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 251\/96 (b) 0.5 (c) -4.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25 (b) 15 (c) 21 (d) 0.5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2. Let v be h(-1). Calculate the remainder when v*-1*(-6 - -2) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1327451*z - 1327451*z + 19*z**3.\nAnswer: 19*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 + -36. Let d(j) = -j**3 - 6*j**2 - 5*j + 5. Let k = -17 + 12. Let y be d(k). Calculate the greatest common factor of t and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 11*i - 11*i)*(i**2 - 3*i**2 + 3*i**2).\nAnswer: -17*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 366396a (base 11) to base 4\nAnswer: 120110021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -39, -2, 3 in decreasing order.\nAnswer: 4, 3, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(2736) - (-1 + sqrt(2736))) + -2)*3 - -2*(sqrt(2736) + 4*(1*sqrt(2736) - sqrt(2736)) + 3*(sqrt(2736) + 1)))**2.\nAnswer: 175104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - h - 1. Let m(a) = 2*a**3 + a**2 - 9*a + 2. Let f(i) = m(i) - 3*x(i). Is f(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1476389\/8810424 + 4\/203945. Find the common denominator of 74\/15 and y.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, w: 1, s: 8, j: 2, q: 1}. What is prob of picking 1 q and 1 j?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27171606 by 462.\nAnswer: -58813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -11*u + 35. Suppose 0 = 5*q - u*f, q - 5*q = 2*f. Solve j + q*j = -3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -146, -382, -750, -1250?\n\"Answer: -66*t**2 - 38*t - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 52, 57, 64, 73, 84, 97?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -221293\/377 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396.281234 + 2.\nAnswer: -394.281234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1148 and 492.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 18*i + 11. Let a be n(-18). Let d(l) = l**3 - 4*l**2 - 18*l + 4. Is d(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {w: 2, g: 4, c: 8, b: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -37. Let r(m) = 3*m**2 - 5*m + 1. Let i be r(l). Solve -14 = t - 4*p, -t + i*p - 17 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2))**(-5\/16)*g*g\/((((g*(g**(-5\/3)*g)\/g)\/g)\/g)\/g)*(g*g**(-5\/3))\/g assuming g is positive.\nAnswer: g**(133\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 43250 divided by 125\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 564 + 1525?\nAnswer: 2422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11200)\/175*(-162)\/(-144)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g + 2878 = 3*b + 32*g, -3*b + 2914 = -4*g. What is the least common multiple of 56 and b?\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9994 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040\/200*(-210)\/18?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 - 2*q**3 + 32*q**3.\nAnswer: 30*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -10. Let m be 0 + (-1 - (t - 0)). Solve -4*k = -m*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9658, 9541, 9318, 8995, 8578, 8073, 7486?\nAnswer: 6823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -56*i - 3. Let u(w) = w**3 - 12*w**2 + 11*w + 4. Let t be u(11). Suppose t - 2 = -c. Is h(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*r - 13 - 26 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1082046 and 59\/336?\nAnswer: 8656368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/4596451 or -1?\nAnswer: -2\/4596451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((35\/(-15))\/(-7))\/(968\/120 + -8). Solve -4*b + t*q - 36 = 0, b + 20 = 5*q - q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88307?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -14*u**3 - 83*u**2 - u - 12. What is y(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 8*x**4 - 38*x**3 + 12*x**2 + 90*x = 0.\nAnswer: -5\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-49) + (-2215)\/(-315). What is the second smallest value in f, -1\/9, 2.5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*i**3*k**2 - 6704*i**3*k - 1286*i**3 + i**2 - 50*i + 14*k**2 - 1 wrt k.\nAnswer: 32*i**3*k - 6704*i**3 + 28*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d. Let p be 6\/(-48)*2 + (-161)\/28 + -2. What is u(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119736 and 56.\nAnswer: 838152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3064*w**6 + 14*w**5 - 22*w**4 + 6639912*w**2.\nAnswer: 367680*w**3 + 840*w**2 - 528*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1764)\/(-22) + (-8)\/44. Let t = 25 + m. What are the prime factors of t?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 0*i + i + 2*i. Let a(y) = 5*y - 18. Let o(z) = 13*z - 48. Let l(d) = 8*a(d) - 3*o(d). What is l(g(s))?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270\/(-72)*(-118)\/(-354).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4\/4 + 135*r**3\/2 + 1269*r**2 + 4690*r - 15000 = 0. What is r?\nAnswer: -250, -12, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 33, 8, -3, 7 in ascending order.\nAnswer: -3, 0, 1, 7, 8, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3*(15 + (-399)\/12 - -13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*b + 5\/3*b**2 - 1\/3*b**3 - 5\/3.\nAnswer: -(b - 5)*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 6*d - 104*d + 56*d + 10*d + 1 + 13*d.\nAnswer: -13*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-95)\/(-10))*(-6)\/8.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*o - 165 = -472 + 241 + 328 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -12*h + 116. Calculate m(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 - 67*w**2 - 37*w - 212. Give n(23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 27*k + 14. Let t(c) = -40*c - 21. Let o(g) = 8*n(g) + 5*t(g). Calculate the least common multiple of o(2) and 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/26*(17 - (1 + (-5211)\/(-324)))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*p = -983612 - 1422946. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2\/2 + 341551*x - 116657085601\/2 = 0. Calculate x.\nAnswer: 341551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/31 (b) -0.2 (c) -2436\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22545714929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-36)*92 - 20\/(-90). Suppose 32*l - 2*f - z = 28*l, -f + 31 = 5*l. Solve 2*c + i + l = 0, -3*c = i + 3*i + 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5628*m = -5641*m + 13. Which is the second smallest value? (a) 40 (b) -0.3 (c) -2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*s - 10, -5 = 3*u + 3*s + 13. Let r = 0 - -29. Let m = r + u. Calculate the remainder when 49 is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/3 - 2*m**3 - 8*m**2\/3 + 2*m + 7\/3 = 0. Calculate m.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 133 + 6*u + 765 + 88 wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01037348809 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1097535341.\nAnswer: 7, 149, 1052287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/15*10\/36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - r**2 + r - 6. Let j be l(0). Let h(g) = g**3 + 6*g**2 + 8. Let c be h(j). List the prime factors of 4\/(-5)*(-20)\/c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 235 by -1.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1255 - -400444?\nAnswer: 355145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 400, 991, 1586, 2185?\n\"Answer: 2*h**2 + 585*h - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 9:45 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 198485.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 221, 229, 251, 293, 361, 461, 599?\n\"Answer: o**3 + o**2 - 2*o + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 2*s + 3. Let r be w(-3). Let a(m) = m**2 - 6*m - 7. Let t be a(r). Let u = -2 - t. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31a + -1327?\nAnswer: -1641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*((sqrt(95) + -6*1*sqrt(95) + sqrt(95) - sqrt(95))*-2)\/((sqrt(720) - 4*(sqrt(720) - sqrt(720)*-1)) + sqrt(720)).\nAnswer: -5*sqrt(19)\/12 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -26, 0, -2, -1 in decreasing order.\nAnswer: 0, -1, -2, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 1:35 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -11\/735*p**7 - 1\/210*p**5 + p**2 + 0*p + 1\/294*p**8 + 0*p**3 - 1\/84*p**4 + 3\/140*p**6 + 0. Factor m(g).\nAnswer: 2*g*(g - 1)**3*(4*g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9004 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 24 + 17*k**2 + 31*k**2.\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1 + 506*q**2 + 506*q**2 + 2*q - 1009*q**2 - 14*q**3. Let p be -3 + 1\/(-1) + 2. What is the hundreds digit of d(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0, -2\/19, -1\/5, 0.318.\nAnswer: -1\/5, -2\/19, 0, 0.318, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 148879249517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 5:06 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u + 10. Let z be l(-6). Let r(d) = -2*d**3 - d**2 + 4*d + 3. Let y be r(z). Let n(s) = s + y*s + s - 3*s. Let o(g) = -2*g**2. Calculate n(o(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2006 by -26.\nAnswer: 1003\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5463.145 micrograms to grams.\nAnswer: 0.005463145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2748592543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) -0.3 (b) -2\/5 (c) -463\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.203018 millennia?\nAnswer: 820.3018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**2 + 5*n + 1. Let q(a) = 3*a**2 - 6*a - 1. Let g(t) = -4*q(t) - 5*r(t). Let h be g(1). What is the greatest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 112*i**2 - 2855*i - 1002. Calculate t(40).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**6\/120 + m**5\/15 + 5*m**4\/24 - m**3\/6 + 5*m**2 + 4*m + 9. Let q(i) = -i**2 + 7. Let z be q(0). Let a = 12 - z. Give o(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 18 = 4*f, 5*f = -2*x - 2 + 8. Let i be (75\/7 + -9)\/(x\/(-7)). Solve -5*y - i + 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*m - 25, -77*v - 19 = -75*v + m. Which is smaller: v or 678?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16409362*n**3 - 187165*n + 48 wrt n.\nAnswer: 98456172*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -16. Let t = a + 14. Calculate the least common multiple of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + -7 - -20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*h - 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5235*r - 5227*r + 20920*r + 2 - 5230*r - 5239*r.\nAnswer: -11*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-135)\/63)\/(6\/(-7))*(-8)\/100?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Let q(n) = 11*n**2 - n + n - 9*n**t. Let s(f) = -4*f**2 + 3*f - 3. Let i(z) = -3*z**2 + 2*z - 2. Let c(y) = -6*i(y) + 4*s(y). Give c(q(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*o**2 - 5*o - 16 - 119*o**2 + 5*o as p + b*o + s*o**2 and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 151*l**2 - 4*l. Let p be m(-3). Suppose u = -3*y - 279, 4*u + 3*y + p = -u. Calculate the common denominator of 1\/8 and ((-4)\/(-6))\/(12\/u).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13a0 (base 16) to base 9\nAnswer: 6802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -6*v + 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5116 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2501.\nAnswer: 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100001 (base 2) in base 16?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, 65, -6, -3 in decreasing order.\nAnswer: 65, 7, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 8*v - 5*v. Let b = 40 - 28. Calculate the greatest common factor of v and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (2 + 1915\/(-639)). Let w = -3820\/4473 + p. What is the smallest value in 1, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48.1 - -8.1. Let k = -40.2 - t. Let o = 5 - 7. What is the nearest to k in 0.3, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 143*z**2 + 3*z**3 + 91*z**3 - 28*z**2 wrt z?\nAnswer: 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**4\/24 - 3*r**3\/2 + 2*r**2. What is s(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 918*p**2 + 905*p**2 - 71*p**2 - 204*p**2 - 2*p**3 = 0.\nAnswer: 0, 774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5 = -17. Suppose m*o - 416 = -o. Let l = -12 + o. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 3140?\nAnswer: -3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a + 4*a + 32*a**3 - 28*a**3 + 2*a**4 - 9*a to the form o + r*a**2 + z*a**4 + n*a + v*a**3 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 935*k - 121557. What is t(130)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 16.062, -1\/1022, -2\/5 in decreasing order.\nAnswer: 16.062, -1\/1022, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474 + 174 = -4*f. Let p = -113 - f. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/72935 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.825901319 rounded to two dps?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000228636 to six dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 9\/2*q**3 + 23*q + 0 - 5*q**2 + 0*q**4 - 1\/20*q**5. Let s(u) be the first derivative of m(u). Factor s(h).\nAnswer: -3*(h - 3)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**7\/840 + s**6\/45 - 3*s**5\/40 + s**4\/4 + 5*s**3\/3 + 3. Let a(f) be the third derivative of p(f). Is a(6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1747869, 6991462, 15730791, 27965862, 43696681?\n\"Answer: a**3 + 1747862*a**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 - 3*w. Let j be t(-2). What is the units digit of 2\/j*-6 + 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3600 and 630?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**6\/270 - c**5\/90 + c**4\/54 + 14*c**2. Determine p, given that j(p) = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2. Let p(c) be the first derivative of 0*c + 3\/2*c**2 - 1. Calculate p(b(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(-22 - 27 - 101 + f).\nAnswer: f - 150","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 27962*p + 3 - 1.\nAnswer: -27962*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -18*t - 572. Let r be 8*(-6)\/8 + -24 + -2. Let h be x(r). Suppose -5*v + 36 + 4 = 0. Solve h*j + v = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, 0.05, -21.\nAnswer: -21, -0.1, 0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 9*c = 2*k - 2330, 0 = -5*c + 2*k + 11590. Suppose -2*g - 2*g + c = 4*l, -5*l + 3*g + 2860 = 0. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t - 320. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + -36. Let h be (-5)\/(-20) - a\/8. Calculate the greatest common divisor of h and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*((-1 - -2) + 1). Suppose v*z - 74 + 26 = 0. What is the highest common factor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 132.9806?\nAnswer: 664.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26c314 (base 14) to base 9\nAnswer: 2461621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -639674131.\nAnswer: 639674131.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 105\/63*6*(9 + 2). What is the greatest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 121*s**2 - 22*s - 175. Is o(-7) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-36))\/(-1))\/(-2 - -1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3 + 0*f + 1 + f. Let u(x) be the first derivative of 3*x**2\/2 + 11*x - 55380. What is 6*u(k) - 17*v(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s**2. Let z = 6508 - 6506. Let m(f) be the first derivative of -18 + 0*f + 1\/2*f**z. Calculate m(b(p)).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*u = -3*u - 9, -v = -2*u - 4. Suppose -2*q = -4*q + 5*r + 82, -2*r + 8 = 0. Suppose q + 9 = v*m. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40662 divided by 6777?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21298372, -21298371, -21298370, -21298369?\nAnswer: -21298368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 453*b - 451*b + 28, -3*b + 218 = 124*k for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1\/4, -0.4, 4, 12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1600 and 8400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-14)*84\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**2*l))**(-32)*(l\/(l**(-2\/9)*l)*l)**(-4\/3) assuming l is positive.\nAnswer: l**(1684\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77\/99 + 4\/18)*(-12)\/120?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 177658926, 177658927, 177658928, 177658929, 177658930?\n\"Answer: v + 177658925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 2541.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-51)\/33 - -1)\/((-84)\/616). What is the greatest common factor of s and 1468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j + 34*j - 35 = 70*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9985*f - 5106*f - 4983*f = -8840 for f.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29392 - 29392 - 236*f.\nAnswer: -236*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 794717446?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 5520?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16673548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w - w + 7*w)*(0 + 0 + 2) + (2*w + 0*w + 0*w)*(0 + 0 - 1) + 2*w - 6*w - 3*w + 5*w - w - 2*w.\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-28)*1666\/119?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 2*k**2 + k**2. Let z(l) be the third derivative of l**5\/15 - 180*l**2. Calculate z(m(t)).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/44 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(39))\/sqrt(3) - sqrt(13) - sqrt(13))**2 - ((sqrt(13) - sqrt(13)*-2) + sqrt(13))*-4.\nAnswer: 16*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -1e9c497?\nAnswer: -1e9c495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 7:08 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 147 + -145. Suppose 0 = -w*n + 568 + 110. List the prime factors of n.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2163*f + 8778 = 2289 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -412*h**5 - 370*h wrt h?\nAnswer: -8240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55869650.\nAnswer: 2, 5, 17, 65729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:32 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**5 - 6*t**4 - 21*t**3 - 12*t**2 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 174786198.3us?\nAnswer: 0.00028899834375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1614 = 1710*p - 1589*p + 5767 for p.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3236238016.\nAnswer: 2, 11, 47, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154.85 + 154.83. What is the smallest value in 22, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(650)*2 - sqrt(650)) + (sqrt(26) - (sqrt(286)*-1 - sqrt(286))\/sqrt(11)))\/(-3*(sqrt(242) - 2*sqrt(242))).\nAnswer: 8*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 9*d**2 + 6*d - 23. Let j be s(-10). Find the third derivative of -57*f**2 + j*f**5 + 2 + 14*f**4 + 16*f**4 - 29*f**4 wrt f.\nAnswer: 1020*f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -217, -871, -1973, -3535, -5569, -8087, -11101, -14623?\n\"Answer: -2*o**3 - 212*o**2 - 4*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3943284660 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143\/((-42)\/24 + (2 - 0)).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*44\/2002*14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101000110001101 + -101?\nAnswer: 10101000110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*t + 7. Which is the smallest value? (a) t (b) 0.5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 453153779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - -0.8997796. What is x rounded to 5 dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-3*(-3)\/(-48))\/((-10440)\/(-3480)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*f**2 + 39*f**2 - 88*f**2.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -114023140 (base 5) to base 3\nAnswer: -1000002000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 305 = -2*b - 24, -b + 63 = a. Suppose 2*k + t = 1055, -t - a = -k + 458. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 46*b + 48. Let v be k(11). Suppose q + v = 6*q - f, -q + 2*f = -118. Suppose -i = -63 - q. What are the prime factors of i?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 5:03 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11159 - 245439\/22. Let w = -8 + -2. Find the common denominator of ((-10)\/16)\/(1\/w) and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 3. Let v(w) = 2*w - 5. Let g(i) = -10*t(i) + 6*v(i). Let m(z) be the first derivative of 6*z - 3*z**2 - 7*z + z + 12. Give g(m(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by -4\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*r + 23 = 0, 4*r = p - 0*p - 15. Which is the second biggest value? (a) -0.4 (b) 3 (c) p (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, -7, -2.\nAnswer: -7, -2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -54*o - 12514. Calculate v(-234).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 117 = -7*k. Calculate the greatest common divisor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**4\/12 + r**3\/3 - 3*r**2\/2 + 5*r. Let c(h) be the first derivative of t(h). Determine c(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 39*q**2\/2 - 30*q - 42. Differentiate f(j) wrt j.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a - 2*a**2 + a**2 + 88 - 77 - 2*a. Determine d(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**6*m*m**5)\/(m**(-1\/3)*m)**(2\/27)*(m**(-1)*m\/m**(-1)*m)\/(m**0)**(38\/5) assuming m is positive.\nAnswer: m**(1211\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -104052.37 rounded to the nearest 100?\nAnswer: -104100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4\/2 - 41014917*x**3 + 328119303*x**2\/2 - 205074558*x + 82029822 = 0 for x.\nAnswer: 1, 2, 27343274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 3438?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 7 + 3. Suppose -5*g + 82 = u*r, 5*g + 17 = -r + 103. Suppose n + n = g. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 62*m - 177. Calculate w(33).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 723303079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (363*a - 255*a - 233*a)*(-5*a - 9*a + 5*a) + (-2*a + 2*a + a**2)*(-3 + 0 + 2).\nAnswer: 1124*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -51, 14051, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10056461 (base 8) in base 11?\nAnswer: -1219600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -x - 1, -5*h = -6*h + 5*x + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 16*y**2 + 17*y + 12. Let a be j(15). Suppose -40*u - 2518 = -a*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k = 30*k - 1498. Suppose -18 = -r + 5*g, -r - 4*g = 3*r. Find the common denominator of 37\/8 and (k\/(-14))\/(r\/((-3)\/(-11))).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 l when three letters picked without replacement from hthrhhlhhlrrl.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (116 + 96 + 700)*(-j - 4*j + 4*j) to the form l*j + k and give l.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*m**2 + 143*m**2 - 611*m**2.\nAnswer: -864*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -49*n - 1. Let d(l) = -98*l - 3. Let z(u) = -4*d(u) + 9*r(u). Is z(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1019254, 2038509, 3057764, 4077019, 5096274?\n\"Answer: 1019255*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -16. Let q(x) = 141*x - 128*x - 21 + 6 - 10*x. Let s(l) = l - 7. Let y = 5 - 8. Calculate d*s(f) + y*q(f).\nAnswer: -2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 smaller than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13044078 by 6618.\nAnswer: -1971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2316 + 0.014032896?\nAnswer: 2316.014032896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32738 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: Let x = -50 - -36. Let b = -11 - x. Suppose 364 = g + b*y, -g = 4*y - 2*y - 369. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -150585, -301299, -452011, -602721, -753429?\n\"Answer: t**2 - 150717*t + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 3.81\nAnswer: -15.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 - (2 + (0 - 1) + 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-675168)\/1440 + (-6)\/45. Is o not equal to -462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41\/(-328) + (-82)\/(-16)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.03, -13721\/5, -91?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -u - 2*w - 20 - 9, 0 = 16*u - 13*u - 2*w + 62 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y - 4. Suppose -y*x - 14 = -2*d, -x - 4 = 2*d + 4*x. Is 51*(10\/3 - d) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**2 - 5*h**2 + 2*h**2 + (-4*h - 4*h - 13*h)*(8*h - 3 + 3).\nAnswer: -167*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*s - 25. Suppose 9*k - 4*k = c + s, -3*k + 6 = 3*c. Suppose k*h - 212 = -2*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-741)\/(-57)*(-2)\/(-2)*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 941 times -3\nAnswer: -2823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 884223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19593 minus -0.07?\nAnswer: -19592.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17*109)\/(-4 + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 13*b - 56. Let v be t(5). Differentiate 181 + 32*u**2 + 80*u**2 - v*u**2 with respect to u.\nAnswer: 206*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -270864738\/11 at least as big as -24624067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 3, 11*m - 16*m + i = 25724. What is m rounded to the nearest one hundred?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 0.11, 0, -9\/13, 289?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 22 = 4*h, -2*h + 0*l + 3*l = -21. Suppose 2*m = -3*i + 20, -5*i + 4 = -7*m + 3*m. Let t(r) = 1 + r - m + 0 + 2. Determine t(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -85, -1, 3, 2.011, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 361.6562l to millilitres.\nAnswer: 361656.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(-1*-2*sqrt(2)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67636?\nAnswer: 2, 37, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -10206*d**3 + 5*d + 20419*d**3 - 4 - 10213*d**3 - 11*d**4 in the form v*d**3 + r*d**4 + t + i*d**2 + x*d and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3521, -3534, -3547?\n\"Answer: -13*u - 3508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7569 and -12.\nAnswer: -12.7569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbw when three letters picked without replacement from {k: 2, b: 6, d: 1, w: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d + 11*d - 46*d - 34*d.\nAnswer: -59*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1023 = -360*k + 524*k + 5943 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20048820 by -37.\nAnswer: -541860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (77 - (77 + 1)) + (-4)\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -796789, -796795, -796801, -796807, -796813?\nAnswer: -796819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((((l*l**6)\/l*l)\/l)\/l))\/l**(-1\/2))\/(l**(-7)\/(l\/l**2*l)))\/(((l\/(l*(l*l**(-4))\/l))\/l)\/(l\/((l\/(l*l*l*l**(-4)*l))\/l)))**(17\/4) assuming l is positive.\nAnswer: l**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2488 = -5*f + 3*k, 8*k = -3*f + 13*k + 1496. What is the lowest common multiple of f and 142?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n + 3. Let f be i(2). Let q(x) = 3*x + 4 + f - 9. Let h(r) = 6*r + 9. Let w(b) = -4*h(b) + 9*q(b). Let g(m) = 6*m**2. Give w(g(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 702 + -335. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 8:04 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 0*t + 0*t)*(-t - 3 + 5 - 3 + (-t + 3*t - 4*t)*(0 - 1 - 1) - 5*t + 0*t + 4*t).\nAnswer: 6*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*l + (2*l - 3 - 1 + 6)*(-1 - 2 + 7).\nAnswer: 10*l + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1922 by 262255.\nAnswer: -1922\/262255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 55*(-36)\/20*-2 + 2. Calculate the greatest common factor of a and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1440*d - 1440*d - 660*d**3 - d**3 - d**3 + d**3 + (2*d**2 - 2 + 2)*(3*d - 2*d + 0*d).\nAnswer: -659*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**3 + 28*g**2 - 9*g + 19. Determine c(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10591 - 10588. Let d(t) be the first derivative of -39 + 0*t - 1\/3*t**b + 0*t**2. Let y(g) = 2*g**2 - 7*g. Give y(d(w)).\nAnswer: 2*w**4 + 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317700320?\nAnswer: 2, 5, 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/9 (b) 7\/4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-563 + 559)*(-1)\/2*(-1 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 116*a**2 + 25*a + 261. What is the remainder when k(-6) is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1256, -2\/9, -0.5, 0 in ascending order.\nAnswer: -1256, -0.5, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 42*m - 54. Let a be v(31). Suppose 0*w - w - 3*j + a = 0, j + 3 = 0. What is the greatest common divisor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.2? (a) -0.1 (b) -3 (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 16*k - 23. Let a be r(12). Let q = a + -101. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 6 = -5*p + 9, 0 = 5*x + p - 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37962 a multiple of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 3*b - 8 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -324*s + 1. Let v be (-3 - -1) + (6 - 5). Let k be i(v). Suppose 2*f + 3*f - k = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/3)*r\/r**(-8))\/((r**(-18)\/r)\/(r**(-1\/38)*r)))**17 assuming r is positive.\nAnswer: r**(56797\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (-53)\/(-2))*(-8)\/(-330).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16 times -13.3\nAnswer: -212.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 4)*(278*j + 2049 - 2049)*(-7*j - 3 + 3)*(-112*j - 2 + 2 + 81*j) to the form b + d*j**3 + n*j**2 + h*j and give d.\nAnswer: -120652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a*a\/a**(-4\/19))\/a*a)*a*a*a*a\/((a*a**(-5\/2))\/a)*a assuming a is positive.\nAnswer: a**(239\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(7\/2)*m)\/m)\/(m\/(m*m\/(m\/(m\/((m**(1\/64)\/m)\/m))*m))))\/(m*m**(-7))**(-45) assuming m is positive.\nAnswer: m**(-16865\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52\/1723 - -14589\/601327. Calculate the common denominator of 103\/6 and z.\nAnswer: 2094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 58*s - 98. Let g be b(10). Suppose 34 = 12*j - g. What is the remainder when 243 is divided by j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 + 523. What are the prime factors of u?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -11. What is the units digit of (-11)\/((-44)\/(-16)) - (c - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + l**2 + 2 - 1 + (2*l**2 - 4*l**2 + 4*l**2)*(-2 + 5 - 4) - 2*l + 2*l - l**2.\nAnswer: -2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 17. Calculate x(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 6765?\nAnswer: 67650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1885*a**2 + 2887*a**2 + 5122*a**2 + 6532*a**2.\nAnswer: 12656*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-26)\/p**21)\/(p**(-28)\/p**(-28)))**(1\/25) assuming p is positive.\nAnswer: p**(-47\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-21) + (-36)\/(-21). Suppose -v*r - 12 = -18. Suppose 8*c - r*c = 885. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.34 + -4. Let x = 2.2 + i. Let k = x - 0.04. Which is the nearest to 2\/3? (a) -0.3 (b) k (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnqwn. Give prob of sequence wq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*o**3 + 1595*o**3 + 2307*o**3.\nAnswer: 4197*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*o**5 - 39*o**3 - 1651*o.\nAnswer: 580*o**3 - 234*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -142\/15819 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 131 = -5*s, 0*s - 270 = -5*i - 2*s. Suppose u - i = -2*u - 4*o, u - 30 = 5*o. Solve 3*a + u = -4*q, -6 = -q + 4*q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/2 - 105*w**4\/2 - 2339*w**3\/2 + 29945*w**2\/2 + 198000*w - 211750 = 0. What is w?\nAnswer: -55, -10, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yynl when four letters picked without replacement from yyylyyyynyyylyyl.\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -509528 divided by -254764.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 5*g**2 - 2*g - 7. Let n be o(4). Solve -7*s + 6*s = -n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/17 + 160*m\/17 - 462\/17.\nAnswer: -2*(m - 77)*(m - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.3 + -10.94. Let z = 2.47 - f. Round z to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 4. Let s = -20 - -65. Suppose 0 = -5*h - 5*u - 0*u - s, -u = 3. Let y be x(h). Which is the smallest value? (a) y (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17*37\/814*-22 + -86\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s - 2*s)*(-655 - 217*s**4 + 216*s**4 + 1449 - 2*s).\nAnswer: 2*s**5 + 4*s**2 - 1588*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*w**3 + 24*w**3 - w - 2*w - w - w in the form v*w**2 + u*w**3 + g + o*w and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000051574 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6697468856458 and 1.\nAnswer: -6697468856457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 2, s: 3, u: 6}. What is prob of sequence ms?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(242) + 5 + -5 + sqrt(242) + (sqrt(242) - (2*sqrt(242) + sqrt(242))) + sqrt(242) + -2)**2.\nAnswer: 110*sqrt(2) + 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2824 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a - 69244*w + 24 = -69242*w, 0 = 4*a + w + 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*r + 42*r**3 + 2*r**4 + 24*r**2 + 33*r**2 + 6 + 7*r**4 - 3*r**3.\nAnswer: 3*(r + 1)**2*(r + 2)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125 + -128. Is u greater than or equal to -27\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 2*k + 8. Let p be b(3). Suppose -a = -p*g + 1359, -5*g + 1357 = -3*a - 0*a. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 3*j + 2. Let g be d(-2). Suppose -4*k + 112 = -g*p, -3*k - 5*p = -0*p - 108. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153 divided by -1153?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 5*v - 3, i - 5*i - 12 = -v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 141?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.7, -14.8, -175, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 9*t + 7. Let u be i(8). Let q = -389 + 392. Put 9, u, q in increasing order.\nAnswer: u, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32254545.5000006 - -32254540. Let r = j + 5.5. What is r rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 327736\nAnswer: 3\/327736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -789 + 396 + 2*l**2 + 393. Let t(n) = -133*n. What is k(t(u))?\nAnswer: 35378*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5\/8)\/f*f**(-4\/15) assuming f is positive.\nAnswer: f**(-227\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 8*j**2 + 3*j + 6 - 13*j**2 - j**3 + 0*j. Calculate r(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 10*w. Calculate x(5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t. Suppose 0 = 6*c - 647 - 115. Let g = 365 - 238. Let m(o) = c + o - g. Calculate d(m(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*s - 15 = 0, -2*s = 3*s. Let a(z) = -z**2 - z + 4. Let v be a(0). Sort q, v, -4 in ascending order.\nAnswer: -4, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npp when three letters picked without replacement from {n: 1, p: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -5.\nAnswer: -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8640)*1 + 1*sqrt(60)*-5)\/(2*sqrt(12)*3 - sqrt(48)\/sqrt(4)*-3).\nAnswer: 7*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -162 + (60\/4)\/(-5). Let l = 37 - r. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1730845 is divided by 432699?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12107 (base 9) to base 6.\nAnswer: -101311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -13*m**4 + 56*m**3 + 4*m**2 + 4. Let r(q) = 28*q**4 - 111*q**3 - 9*q**2 - 9. Let i(y) = 9*l(y) + 4*r(y). Suppose i(w) = 0. Calculate w.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -10*t**2 - 6*t + 1. Differentiate r(l) wrt l.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(-4))\/((-2679)\/7144) - 2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (5 - -84) + (-50 - -19)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1324932832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 - 87. Let c(q) = q**2 - 11*q + 17. What is the smallest common multiple of c(0) and g?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31144260 by 4.\nAnswer: -7786065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + -6 + 0 + 3 + -85 + 41?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(306)\/sqrt(225) - sqrt(34))\/(sqrt(2)*2*6))**2.\nAnswer: 1142\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232448 is divided by 232427.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106.78 - 107. Let g = j - -0.219985. What is g rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1576322 to 4 dps.\nAnswer: 0.1576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1432)\/60 + (-2)\/15. Let k be (-126)\/v + 6\/8. Let a be (8\/6)\/(2\/9). Are a and k equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -132301?\nAnswer: -132300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -8.\nAnswer: -8, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millennium in decades?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 = -2214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0.2. Let x = -616.1 + 625. Let r = x + -8.7. What is the third biggest value in -7, a, 3\/7, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -14*w**2 - 20*w - 20. Let k(i) = i**2 - 13*i + 17. Let r be k(13). Let y(s) = 5*s**2 + 7*s + 7. Give r*y(v) + 6*x(v).\nAnswer: v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 + -147. Find the common denominator of (350\/(-12))\/7 - 1 and x\/(-12)*155\/(-50).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -5. Sort -1\/20, d, 3 in descending order.\nAnswer: 3, -1\/20, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/9 and 25\/55674?\nAnswer: 55674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 64\/5 of a centimeter?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - -0.4. Let w = 3.6 - o. Put w, 0, -2 in descending order.\nAnswer: w, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9601 is divided by 636.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**4\/8 + 2*l**2. Let j(o) = -o - 1. Let i(d) = -d**2 - 6*d - 6. Let b(t) = -i(t) + 6*j(t). What is y(b(g))?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145352 by -8.\nAnswer: -18169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 376*p - 426*p + 6950. What is the remainder when p is divided by 95?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.77 + -114.23. Let a = o - -118.34. Suppose -4*u = 3*s - 1, -3*s + 2 - 3 = 2*u. Which is smaller: a or u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4*r - 3)*(-438 + 624 - 507 + r) to the form j*r**2 + n*r + k and give n.\nAnswer: -1284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3354 - -5?\nAnswer: 3403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 0.5, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6632740 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106463.\nAnswer: 7, 67, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 21\/5, 0.3, 0.2 in decreasing order.\nAnswer: 21\/5, 0.3, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -461, 1 in increasing order.\nAnswer: -461, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-12) + (-683)\/(-3). Find the third derivative of -j*x**4 - 3*x**6 + 227*x**4 + 20*x**2 wrt x.\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 868.7872 + 0.2128. Let i = h + -869. Which is the second biggest value? (a) i (b) -4 (c) -2.17 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 0 - (167 - 153)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69028416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from gfgfgggffggfffgyggf?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455010387.\nAnswer: 3, 13, 71, 73, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 17*f**4\/12 + 11*f**3\/6 + 13*f**2 + 63*f. Let k(b) = 6*b**2 + 4*b + 9. Determine -4*g(a) + 11*k(a).\nAnswer: -2*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 246\/(-24) - (432\/(-36) - -1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4846 + -3.5154. Let l = 0.3 + -0.6. Which is the biggest value? (a) 0.8 (b) -1\/3 (c) j (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*o - 2, 4*o - 16 = -2*j - 0*j. Suppose 3*g - 881 = -14*l + 16*l, j*g = 4*l + 590. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*b - 17 + 248 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22518 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5273661 * -0.3\nAnswer: -1582098.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92 - -94. What is the second smallest value in q, -0.03, -6?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2608168210.\nAnswer: 2, 5, 499, 522679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, i: 3, f: 4, h: 1, l: 1}. What is prob of picking 1 h, 2 i, and 1 q?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**4\/6 - 10*w**3\/3 + 14*w**2. Does 11 divide s(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 1691*l**3\/6 - 3319*l**2\/2 - 241*l + 1. What is the derivative of j(i) wrt i?\nAnswer: 1691","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 0 + 1\/12*u**4 - 3*u - 1\/20*u**5 - 2\/3*u**3 - 3\/2*u**2. Does 20 divide k(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -654\nAnswer: 1\/654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.03271.\nAnswer: 0.006542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, n: 2, o: 3, p: 7, b: 4}. Give prob of picking 3 b and 1 p.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -138876 and -0.3.\nAnswer: -138876.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 1\/4, -5, 231652?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o - 601 = -857 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2328408 divided by 1329?\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.147, -0.3, -6\/77, -1078 in descending order.\nAnswer: 0.147, -6\/77, -0.3, -1078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4419428\/3661 - -1356\/523. Let g = n - -1206. Solve -g*b**2 - 22\/7*b - 4\/7 = 0 for b.\nAnswer: -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -35*o + 48. Let d(a) = 2065*a - 2856. Let s(p) = 6*d(p) + 357*r(p). Let u(b) = -10*b. What is s(u(q))?\nAnswer: 1050*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 3*t + 7. Let x be i(-5). Let m be 8\/x + (-46)\/(-112). Which is the smallest value? (a) -1 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.793 + -0.793409. What is k rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/1519 - (-136780)\/7595?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8714970791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - z**2 + 9. Let y be (2 - (0 + 3))*0. What is the units digit of x(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5*10\/(-6). Let y be 2\/(-1)*((-15)\/10 - -1). Which is the closest to y? (a) r (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 3:35 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -7, 10, 7011?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 8 - (75 - (38 + (14 - 38)))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 729*i + 22875. Determine p(-31).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -3, -0.2, -30 in descending order.\nAnswer: -0.2, -3\/5, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-272895 - 352377 + 702382)*(-1 + 4 + 0)*(-2*q - 3 + 3)*(-4 + 3 + 3)*(1 + 0 + 1) in the form h*q + t and give h.\nAnswer: -1850640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(7)*2) + (-2 + (sqrt(63) + sqrt(7) + sqrt(7))*4)**2 - (-1*sqrt(112)*1 + -2 + sqrt(112) + sqrt(112)*2)**2.\nAnswer: -36*sqrt(7) + 2364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*v + 96, -4*v + 179 = c + 2*c. Let p be (-6)\/(-4) - 3\/(-6). Suppose c = p*u - 15. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*z + 26 = 4*t - 64, 10*t = z + 11*t + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 4*b + 2*b + (b + 0*b + b)*(0 - 2 + 0) - 3*b + b + b - 4 + 4 + b)*(5 + 6 - 3).\nAnswer: -48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 5*q**2 - 4*q - 5. What is n(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 22. Let n be 0*(5\/2 + s). Suppose -10 = -6*y + y. Solve n = b - 5*m - y - 4, 4*m + 8 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1580.4559 to the nearest integer.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6668036*n**2 - 8*n**3 - 37*n**3 - 6668036*n**2.\nAnswer: -45*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 36, 66, 98, 132, 168, 206?\n\"Answer: h**2 + 27*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50817 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5803573 tonnes in grams?\nAnswer: 580357.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28, -42, -62, -88, -120, -158, -202?\n\"Answer: -3*m**2 - 5*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*l + 3*l - 5*l)*(3 + 1 - 1) - 7*l + 7*l - 5*l)*(l - l + l) in the form b*l + v*l**2 + d and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19805, 79265, 178367, 317111, 495497, 713525?\nAnswer: 971195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4070469457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 525?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 5 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a. Let v be j(-1). Let s = -542 - -548. Let i be ((-51)\/12 - -5)*(-16)\/s. Put 1, i, -5, v in ascending order.\nAnswer: -5, i, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 - 199*m - 3236. Calculate y(-15).\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 - 82.203. Let i = 0.797 - q. Are 10 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bxxbxbbb.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011857 rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 553 or 11402?\nAnswer: 11402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/252)\/((-84)\/(-24))*-16?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020857?\nAnswer: 271, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.79 to the nearest integer.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 4:17 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-11)\/44)\/(3\/(-12)). Suppose 3 = 3*h - 5*f - w, 2*f = -2*h - 8. Which is the nearest to -1\/3? (a) -0.3 (b) h (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -35*(-2)\/5*-1. What is the smallest common multiple of 10 and 65\/7 + z\/49?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*g + 12. Suppose 2*w - g*y - 2 = 0, -3*w + 0 + 3 = -y. Let c(i) = 5*i + 1. Let n be c(w). What is the highest common factor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 176 - 163. Suppose -1117 = -5*p - 3*k, -z*p = -9*p + k - 895. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -1\/6*c**3 - 1\/14*c**7 - 1\/15*c**5 - 1\/3*c**6 + 7\/18*c**4 + 0*c**2 + 0 + 37*c. Let f(o) = 0. Calculate o.\nAnswer: -3, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44832 by -5604.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6432.2908458 and -4.05?\nAnswer: 6428.2408458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 359296181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - 0)*15\/25. Let b(s) = -5*s - 2. Let w be b(k). Calculate the greatest common factor of w and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 - -103. Calculate the lowest common multiple of c and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3.622 days?\nAnswer: 312940800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 0*u**3 - 3 + 5 - 2*u**3 to o*u**3 + q + w*u + l*u**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.394779l?\nAnswer: 9394.779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16786 divided by -16786.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 38\/9, -1\/6 in decreasing order.\nAnswer: 38\/9, -1\/6, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -910897*m + 1. Let g(x) = -2*x. What is z(g(v))?\nAnswer: 1821794*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -261 + 282. Suppose 0 = 2*n + 3*z - h, 2*z - 3*z = 3. Calculate the remainder when -3 - (-5)\/1 - -52 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + k + 194 = 0, 0 = 6*b - b - 4*k - 248. Suppose -b = 21*z - 24*z. Sort z, -5, 1, 4.\nAnswer: -5, 1, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n = -3*n - 64 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 130*p**3 + 251*p**2 - p + 3064 wrt p.\nAnswer: 390*p**2 + 502*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y + 4. Suppose m - y = -r, 2*r = m + 2*m + 9. Let g = -4 - -8. Which is the nearest to -0.1? (a) 0.5 (b) m (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-315)\/70*2\/3. What is the closest to 0.007 in c, 5, 9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130620374?\nAnswer: 2, 271, 240997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 37*g - 17*g - 21*g. Let l be (-86)\/(-4) - (55\/10 - 5). Let t(p) = -l*p**2 + 2*p + p + 19*p**2 - p. Calculate t(j(c)).\nAnswer: -2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - 1\/((-3)\/678) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 16*g + 442. Let a be u(-28). Let l(i) = -i**3 - 8*i**2 - 13*i - 3. Give l(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 9) to base 2\nAnswer: -1100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 1958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 3141?\nAnswer: -3134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 - 7*j**2\/2 + 4*j + 8.\nAnswer: (j - 4)**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 - -8.99. Let n = l + -9.1. Suppose -4*z + 0*z = -8. Which is the nearest to n? (a) 2\/3 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37770285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 355*f*n**5 + 2*f*n**4 - 13*f*n**2 + 2*f + 5 wrt n.\nAnswer: 21300*f*n**2 + 48*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 263, 495, 739, 1001, 1287, 1603?\n\"Answer: u**3 + 225*u + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, 13, 1794, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 215 = 4*d, 0*d + 3*d - 12 = 0. Is 37 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 35 (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-2*sqrt(343) + sqrt(343) - sqrt(343)) - (sqrt(343) + 1 + -1 + sqrt(343))) + -4 - ((-5 + sqrt(343)*-2)*6 + 1))**2.\nAnswer: 1400*sqrt(7) + 6113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -78*g**3 + 7*g**2 - 21*g - 184. Let m(i) = 23*i**3 - 2*i**2 + 7*i + 61. Give 7*m(j) + 2*u(j).\nAnswer: 5*j**3 + 7*j + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**3 - l**2 + l. Let i(j) = 4643*j**3 + 9*j**2 - 9*j. What is -i(g) - 9*x(g)?\nAnswer: -4607*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n. Let i = 24992\/3 + -8312. Let w(x) be the first derivative of 0*x + 0*x**2 + i*x**3 + 9. Determine s(w(z)).\nAnswer: 112*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 1:22 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by ((-500)\/(-175))\/((-2)\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 z, and 1 r when three letters picked without replacement from rgrrgzrblbrrgrrrz.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -27.568. Let z = 0.032 + j. Let g = -9 + 14. Which is the nearest to 1\/2? (a) -1 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142 + -100116\nAnswer: -99974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 186? (a) 1 (b) -0.5 (c) -2\/15 (d) -15 (e) 5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/15)\/(4\/(-10)). Let u(q) = q**2 + 3*q + 3. What is the units digit of u(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/18 + 398\/12. Does 16 divide i\/(-44) + (-207)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 16324 = 2*x, x - 393*a + 394*a - 8165 = 0. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b + 48. Let n be s(-12). Suppose n = -2*w + 7*w - 475. Let i = 10 + 9. What is the greatest common factor of i and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418*p + 402*p = -210608. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 466 + -514. What is the second smallest value in g, -0.4, -1\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + x + 5. Let g(i) = -i**3 + i**2 + 5. Let y(j) = 3*g(j) - 4*v(j). Suppose -5*d = -3*n + 8, 5*d + 2*n = 25 - 53. Let s be y(d). Sort s, -2, 3.\nAnswer: s, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-97)\/(-9) - ((-968)\/(-99) + -10)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-11) + 13\/11. Let g be (2\/(0 + -2))\/i. Is 205 - g\/(-2)*4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3, -1.06, -4 in increasing order.\nAnswer: -4, -3, -1.06, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -594.\nAnswer: -4158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.4071226 to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 5*y**2 - 3. Let s be i(5). Let f be (4 + s - -2) + -1. Solve f*n = -3*n - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -47071, -94155, -141239, -188323, -235407, -282491?\n\"Answer: -47084*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.81757 - -508?\nAnswer: 579.81757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 + 54 + 46 + 31*f - 36*f - 146.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -99, -156, -201, -228, -231, -204, -141?\n\"Answer: i**3 - 64*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -864 or 39?\nAnswer: -864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b + 4 + 0 - 6. Suppose -2*k + 14 = 4*y, -3*y = -5*k + y - 35. Determine o(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.55 and 424.\nAnswer: 424.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cck when three letters picked without replacement from {c: 8, k: 5}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*x - 52*x - 46*x - 50*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -130*w**2 - 28*w - 30. Calculate z(-1).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 4*w = -35 - 42 - 15, 89*j - 5*w - 126 = 88*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**5 - 4*q**3 - 5*q**2. Let h(j) = 6*j**5 - 5*j**3 - 4*j**2. Let w(n) = 5*c(n) - 4*h(n). What is the third derivative of w(x) wrt x?\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5708162 (base 9) to base 5\nAnswer: -1241422032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -209 * 0.78\nAnswer: -163.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9)\/(-18)*56\/(-116)*(-11)\/(-15) and -101\/24.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-618 + 95 - 894 - 33)*(16 - 16 - q**2).\nAnswer: 1450*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 5 - 17*k + 7*k.\nAnswer: -10*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.27376 in 0, -15, 2\/5, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -239?\nAnswer: 3\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 656 (b) 1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**6\/15 - v**5\/10 + v**4\/6 + v**3\/3 - 2*v. Solve h(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 6*o**2 - 6*o + 6. Let h be u(-5). Let r = 10 + h. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - -34) + (-57 - -21)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + s + 1. Let l be r(4). Let d = l + 32. Suppose b - 6*m + m - d = 0, -5*b - 5*m + 45 = 0. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 + 7*c**2 - 7*c - 9. Suppose 0 = l + 3*l - x + 5, -3 = 4*l + x. Let v(i) = -i**3 - i**2. Let r(n) = l*g(n) - v(n). Calculate r(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 + 20247*y**3 + 60723*y**2 + 60717*y + 20238.\nAnswer: 3*(y + 1)**3*(y + 6746)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 26. Suppose 3*z = -l - 0*z + 2, 18 = -l + 2*z. Let i be 4\/l + (-68)\/g. Solve -12 = i*n + n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 218 = -15*b. Is 24 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/174 and 85\/1728?\nAnswer: 50112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -46. Let t be (-5 - -2)*h\/(-3). Let s = t - -49. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 514679824?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/27 of a day in seconds?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (3 - 2)) + 2. Let q be -4 - (-357 + (-20)\/(-5)). Let k = 3493\/10 - q. Which is bigger: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 401, 1, -1, -3, 0, 4 in ascending order.\nAnswer: -52, -3, -1, 0, 1, 4, 401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 640, 230, -914, -3158, -6868, -12410?\n\"Answer: -61*h**3 - h**2 + 20*h + 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 9*m = -18. Let j(o) = 33*o + 15 + 2*o**2 - o**m - 43*o. Calculate j(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/(-10))\/((-10)\/(-150)). Solve 7 - c = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 * -1671607\nAnswer: 2005928.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -3*c**5\/80 - c**4\/4 - 5*c**3\/8 - 3*c**2\/4 + 3*c. Factor q(d).\nAnswer: -3*(d + 1)**2*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 - 10*u + 26. Let c = 1221 - 1226. Let z(l) = -2*l**2 - 7*l + 17. Determine c*i(k) + 7*z(k).\nAnswer: k**2 + k - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 14*u**2 + 34*u - 10. Let p be g(16). Let m(x) = p*x**2 + 127*x - 248*x + 123*x. Let q(v) = -3*v. Determine q(m(y)).\nAnswer: -66*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*p + 71*p - 35 = 0. Let a be 10\/45 + 392\/18. Sort a, 4, p in decreasing order.\nAnswer: a, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 1. Let x be d(-1). Suppose -n + 3*n = x. Is (-4)\/(n - 4\/14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6564*j**3 + 7*j**2 + 3*j - 4. Suppose -c + 17 - 16 = 0. Let r be 3*c*40\/(-30). Let b be m(r). What is b rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 12318*n + 12321.\nAnswer: -3*(n - 4107)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 7:52 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/11 and -5\/247?\nAnswer: 2717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*s = -233*s + 54 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmauumbumuuhhxh. What is prob of picking 1 x and 1 b?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 6:46 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 - 68. Let l(b) be the first derivative of -b**3 - 3\/2*b**2 + 3\/4*b**d + 3 + 3*b. Determine w, given that l(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1323a - -1?\nAnswer: -13239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2. Suppose 69 = -226*c + 225*c. Let t = c - -71. Let j(s) = 0*s**2 + 0*s**2 + 0*s**2 - t*s**2. Calculate w(j(z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 95675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2023, 2061, 2235, 2617, 3279, 4293, 5731?\nAnswer: 7665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2)*(-7 - 2 + 3)*(1 - 1 + 2*y) to the form r + o*y and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o - 5*z + 2, 0 = o - 25*z + 22*z + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y = -2*o + 322, -2*y + 191 = -5*o. Let m = y + -74. Suppose -7340 = m*a - 13*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671781439 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 14*h - 15*h + 8 = 0, -40 = -2*u - 5*h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36052 - 72101 + 36049 + 156*t.\nAnswer: 156*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 137, 18676, 1, -3 in increasing order.\nAnswer: -3, 1, 137, 18676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*g - 2320 = -461*g - 20056 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-6)*15\/((-270)\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23*-29.6.\nAnswer: -6.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6164 - -6184.345. Let h = d - 0.345. Sort -1\/13, h, -1\/2 in ascending order.\nAnswer: -1\/2, -1\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-9)*(-96)\/(-64)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -12. Find the third derivative of -2*z**4 - 2*z**q + 26*z**2 - 22*z**2 wrt z.\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5791 - 5757. Solve -5*l + u = -22, 36*l = h*l - 5*u - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 50531, 50529, 50525, 50519, 50511, 50501?\n\"Answer: -l**2 + l + 50531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 3:47 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -33.4 - -0.16\nAnswer: -33.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (7 + -8 + 0)) + 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 6*l + 4. Let n(o) = 2*o**2 + 6*o + 4. Let u be ((-2 + 3)*-10)\/2. Let a(c) = u*n(c) + 4*v(c). Factor a(p).\nAnswer: -2*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.075\nAnswer: 0.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1505 and 7783.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2427 or -2139?\nAnswer: -2139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80198 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16 + (-1 - 1))\/1. Suppose n = -4*x + 37 + g, -4*x = -5*n - 33. Suppose 0 = -4*o - x + 4. Put o, 1, -5 in increasing order.\nAnswer: -5, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 24*r + 26. Let v be d(-23). Suppose z + 2*z = v. Calculate the least common multiple of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19, -10, -5, -10, -31, -74?\n\"Answer: -a**3 + 4*a**2 + 4*a - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**4 - 255*v**3 - 2*v**2 - 759*v - 7.\nAnswer: 12*v**2 - 1530*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**3 + 40*w**2 + 16*w + 58. Give y(-5).\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.5 - -5. Let z = 1 - h. Which is the biggest value? (a) z (b) 5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -8 - y + 39 - 15. Let i be p(14). Suppose -7 = -i*b + 3. What is the greatest common factor of b and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g**2 + 4982*g - 1245009. Let z(n) = -36*n**2 + 24906*n - 6225047. Let v(t) = -11*b(t) + 2*z(t). Factor v(d).\nAnswer: 5*(d - 499)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333*u - 569 = 15748. What is the lowest common multiple of u and 4116?\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -35*p + 45*p + 87 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73854526 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q + 2. Let x(m) = 1099*m. Calculate x(t(i)).\nAnswer: -5495*i + 2198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20131352 (base 7) to base 15\nAnswer: -230468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*h + k, 31 = 2*h + 3*h - 2*k. Let r be 4 + ((-90)\/h)\/5. Let -8\/7*y**3 - 16\/7*y**2 - 2\/7 - r*y = 0. What is y?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -11, -2, -1 in decreasing order.\nAnswer: 2, -1, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a + 4. Let g(j) = 13*j + 8. Suppose p = -1 + 10. Let v(t) = p*c(t) - 4*g(t). Determine v(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 648 and 235548.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*h**6 + 66*h**3 + 12312*h**2?\nAnswer: -1560*h**3 + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gucc. Give prob of picking 1 c and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012814545 rounded to 7 dps?\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/5 + 996*k\/5 - 20007\/5.\nAnswer: 3*(k - 19)*(k + 351)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19191544.2739 - 3869.2739. Let u = q + -19187663.09999812. Let p = 11.9 - u. Round p to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -20. Suppose 5*i - 186 + 61 = 0. Suppose -14*g - 33 = -i*g. Solve 2*w - g + x = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -682*h**4 + 392*h**2 + 2834157*h + 2 wrt h?\nAnswer: -8184*h**2 + 784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 + 34 = -15*b. Suppose -9*z - 2241 = -b*z. What is z rounded to the nearest 10?\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -75? (a) -52 (b) 0.6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6958*z + 34. Let o be y(-23). What is o rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by -36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-549)\/(-27)*(-3)\/3 - 1. Let k be (-1)\/2*-43*-1. Let y = w - k. Which is the closest to -2\/3? (a) y (b) -0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 702\/(-4)*84\/(-18). Let o = w - 469. List the prime factors of o.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + 2*p + 1. Let n be y(-1). Let j be (-8840)\/n*7\/((-70)\/75). What is j rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 - (1 + 1) - (12 + (-16 - (7 + -7)))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 73133\/51198 + 1\/7314. Put -0.4, t, 0.03, -1, 1 in descending order.\nAnswer: t, 1, 0.03, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46962, 46974, 46986?\nAnswer: 46998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -8119, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.2 - -7.4. Which is the closest to 6? (a) 0.1 (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10979 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 1:03 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 42, -83, -11, 17?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/30 and -91\/24855.\nAnswer: 49710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 828093641 to the power of 1\/3, to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-6 - (-5 + -14) - 24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2876b - b?\nAnswer: 28760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 6*z**3 - 4*z**3 + 0 + 3*z to the form w*z + d*z**2 + b*z**3 + r and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3\/8, 23209.18 in descending order.\nAnswer: 23209.18, 0.4, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1917.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7150 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.9598, 3, -0.3, -1\/3, 1, -4, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 35094752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aajagaaaaaiggajaaaa?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 3:53 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 68079497.\nAnswer: -10\/68079497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13068199 times -0.3\nAnswer: -3920459.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (245*t + 17*t**2 - 245*t)*(0*t**2 - 4*t**2 + t**2) + (-1 - 1 + 0)*(-28*t + 28*t - 5*t**4) - 4*t**4 + 6*t**4 + t**4.\nAnswer: -38*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-207)\/6)\/(2*(-12)\/32). Let q = 43 - j. Let f be (-1)\/(-3) + 18\/(-4). Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, -9, 20130\/17, -3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 97364\nAnswer: 1\/97364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9843, -22919, -35993, -49065, -62135?\n\"Answer: f**2 - 13079*f + 3235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494158265 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(0*w**4 + 0*w**4 - w**4).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*m**2\/11 - 1069106*m\/11 + 305460\/11.\nAnswer: -2*(m + 76365)*(7*m - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6729528 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -80995 divided by -37\nAnswer: 80995\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11 + 4)\/(1 - 0). Suppose 3*f = 4*i + 15, i - 2*i + l = 3*f. Suppose i = 12*w - 7*w. Solve 0 = -2*z - w*z + 8, 0 = 2*h - 2*z + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-7 + (-60)\/18))\/(1\/1)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -10)*1*4\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4217 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -35. Let y = -11 - v. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -6 (c) 1\/2 (d) -1\/3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/20)\/((-2)\/(-5)). Sort h, 3, 23, -5 in decreasing order.\nAnswer: 23, 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - (5 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/9 and (-102)\/(-5)*(6 - (-385)\/(-63))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5. Suppose p = 3*q - 0*q. What is the smallest common multiple of 5 and (-9 + 8)\/(-1 - q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -28*q**5 - 4*q**3 - q**2 - 4. Let b(f) = f**5 + f**3 + 1. Let i(l) = 4*b(l) + z(l). Find the third derivative of i(p) wrt p.\nAnswer: -1440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a + 167. Let u be y(33). Solve 11 = p - 3*q + 5, -3 = -u*p + 3*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 divide 25371643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97227349?\nAnswer: 47, 2068667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xexlxxe. What is prob of picking 2 x and 2 e?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 2\/7, -1, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-7) - (2 + -3). Let d be o\/(-4)*-2*-134. Is (2*d\/6)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*d + 40 = 0, -4*a + 2*d + d + 205 = 0. Calculate the highest common divisor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 39\/2*b + 69\/4*b**2 - 36 - 3\/4*b**3 = 0?\nAnswer: -2, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 8*o = -576. What is the greatest common factor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**4\/4 + 4*d**3\/3 + d**2\/2 + 11*d - 842. Give r(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46487, -372067, -1255757, -2976611, -5813683, -10046027?\nAnswer: -15952697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3769303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3245, -2827, -2407, -1985?\n\"Answer: t**2 + 415*t - 3661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -14323.\nAnswer: 13\/14323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -16, -42, -78, -124, -180?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -14 - 3\/2*h**2 - 38*h. Does 9 divide n(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0)*(4 - v - 4) - 47 + 11*v + 47 + (2*v - 2*v - 2*v)*(-5 + 5 - 29).\nAnswer: 66*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1899260 divided by 11\nAnswer: 172660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**5 + 2*a**4 + 30*a**3 - 32*a**2 - 29*a + 30 = 0.\nAnswer: -5, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -3\/5 (c) -9.8 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 274 = -2*l - 24, 615 = 5*l + 5*u. Which is greater: 1388\/11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8305 + 1637. What are the prime factors of c?\nAnswer: 2, 3, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-19)\/(-19))\/(1\/5). Suppose -24 = -h*r + 3*r. Solve d - r = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -47*x. What is f(-3)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-12))\/((-2)\/8). Suppose 6*c = 4*c + 4*f - 8, -2 = -4*c + 2*f. Let i be -2 + c\/8*5. Is a < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (4\/10)\/(6\/(-1830)). Sort 0.1, 5, 0.5, n in decreasing order.\nAnswer: n, 5, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**6\/20 + m**5\/60 + m**4\/6 - m**3\/3 + 12*m**2. Calculate the remainder when x(-2) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -6, -3, -1, 3\/95, 1\/4 in descending order.\nAnswer: 0.3, 1\/4, 3\/95, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47070\/(-120)*(-3584)\/21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 - v**3 - 3*v**3.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5932 + -5920. Calculate the least common multiple of m and 6322.\nAnswer: 37932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 7*m - 13. Let r be c(6). What is the hundreds digit of 1*(r - (-2 - (-5 - -3)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*g + 569*g + 38475 = -419*g for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29457 and 891347?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-40)\/(-16)*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 25*(16\/(-20))\/1. Let j = -26 + 61. Let q = j + u. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374 = -22*j + 5*j. Calculate the remainder when 217 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -521 + 519. Let i(a) = -a - 6. Let r be i(-6). What is the biggest value in r, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 - 4*a + 4*a)*(38 + 4 + 4)*(-2 + 4 - 4).\nAnswer: -92*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41803, -83606, -125409, -167212, -209015?\nAnswer: -250818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23 and -50\/47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11824 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 12*u - u = 60. Suppose -6 = -m - o, -4*m = 3*o - 4*o - 9. Put 4, m, u in descending order.\nAnswer: 4, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)\/(sqrt(343) - -2*sqrt(343) - sqrt(7)) - (sqrt(11) + sqrt(396) + 0 + sqrt(44)\/sqrt(100)))**2.\nAnswer: 55451\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 163679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r**4 + 2175*r**3 - 27015*r**2 + 47645*r - 22770 = 0. Calculate r.\nAnswer: 1, 99\/7, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ththhmhkht. What is prob of picking 1 h and 1 k?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-one halves of a decade?\nAnswer: 3660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-84)\/24)*7\/3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 537834*a**3*l + 2*a**3 - a**2*l + a**2 - 19*a*l + 1117685*l wrt a.\nAnswer: 3227004*a*l + 12*a - 2*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74652 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41186.\nAnswer: 2, 20593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*h - 38. Suppose 3*z + 5*v + 34 = 0, -2*z - 3*v - 5 = h. Let t(j) = j**2 - j - 5. Let q(i) = i + 1. Let d(n) = -2*q(n) - t(n). What is d(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170534, 341072, 511612, 682154?\nAnswer: 852698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11169 divided by 73.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2. Let k(t) be the third derivative of 0*t - 19*t**2 + 0*t**4 - 1 - 7\/60*t**5 + 23\/6*t**3. Determine x(k(d)).\nAnswer: 49*d**4 - 322*d**2 + 529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -3*i**6\/70 - 33*i**5\/70 + 50*i**4\/7 - 141*i**3\/7 - 351*i**2\/14 + 448*i - 1. Suppose d(a) = 0. Calculate a.\nAnswer: -13, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158375444*j - 4086670*j - 241596415*j.\nAnswer: -404058529*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 39*w**2 - 44*w + 163. Let y be d(40). Suppose -2*r = -y*r - a + 5, 0 = -3*a. Solve -r = -f - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 2:18 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + 5*sqrt(1584)*-4)**2*-5.\nAnswer: -3168080 + 9600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934303 a multiple of 486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25081 + 26295.9. Round i to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 949 = 4*v + 2*b, 0 = -4*v + b + 1269. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*17\/(-119)*-21*1*3\/(-3)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 44. Let s = -6 - -4. Calculate the least common multiple of 16 and (4\/u)\/(s\/(-4)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250683071.\nAnswer: 17, 14746063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-1)\/((-2)\/40). What is the common denominator of 1\/r*(0 - 33) and 39\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 76\/112 - 1\/4. Let t be 1 + -2*1 - -7. Let q be 0 + (t\/(-21) - 0). Sort -2\/9, q, n in ascending order.\nAnswer: q, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 15 = 0, k = 2*b - 1429 - 208. What is the least common multiple of 528 and b?\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.5521735 millimeters?\nAnswer: 0.0005521735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -136647 - 136650 + 273296. Let y(z) = -5*z - 5. Calculate -10*j(l) + 2*y(l).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and (-57532)\/(-532) + 1\/(-7).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01854 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -447, -1322, -2891, -5352, -8903?\nAnswer: -13742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 + -25. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 262\nAnswer: 5.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q - 20. Let x(t) be the third derivative of -t**4\/6 + 1223*t**2 + t. Determine x(m(b)).\nAnswer: 20*b + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, p: 1, w: 1}. What is prob of sequence pu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/((-12)\/(-75)) + 1*-4 and -77\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456644659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4, 2*n + 3 = f - 11. Let k = -16 + f. Solve k*o = 2*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57.319 - 0.619. Let b = -57 + v. What is the third biggest value in -0.24, 6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -22. Suppose -j - 10 = 3*c - 37, -j = v*c - 30. Let x be j\/8*(-8)\/6. Sort -5, 1\/2, x in decreasing order.\nAnswer: 1\/2, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**4 - 1180*r**3 + 2387*r**3 + 1 - 1192*r**3 + 2*r**2 - 2*r as k*r**3 + a*r + p*r**2 + u + z*r**4 and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 261901 divided by -193\nAnswer: -1357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = -20. Suppose d = -2*u - d + 12, 4 = 2*u - 2*d. Suppose -2*b = -r, 58 = u*w - 2*b + 3*b. Is 14 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2605, 5301, 7967, 10603?\nAnswer: 13209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -12*u - 10. Let n be i(-1). Let v(a) be the first derivative of 0*a + 0*a**3 + 2*a**n + 4 + 1\/2*a**4. Find the second derivative of v(l) wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 35 = 3*b + 220, 5*i - 2*b = 886. What is the greatest common factor of i and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133.7 + -134.2. Sort 71, 1, z, 2 in increasing order.\nAnswer: z, 1, 2, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 2 - (-7 + 3). Suppose 4*x - 63 = -r*h + 21, -3*x = 4*h - 68. Solve -v - 4*v - h = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 1. Let u(y) = -8*y - 5. Let s(r) = 14*j(r) - 2*u(r). What is the units digit of s(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162930 rounded to the nearest 1000?\nAnswer: 163000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 5. Let m(q) = 2 - z + q**2. Let n(b) = -4*b**2 + b**2 + 4*b**2. Give n(m(j)).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105107.8146 - -7265.8198. Let t = -97822 - y. Let n = 20 - t. Round n to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 + 2*r**2 + r + 1. Suppose -2*m - 9 = m - 5*z, -2*z - 14 = m. Let i = -6 - m. Determine j(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3400 - 1041533?\nAnswer: -1045333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*g + 15*g - 9*g - 3*g**2 to the form y*g**2 + v + u*g and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4512033.\nAnswer: 3, 43, 89, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 10) to base 2\nAnswer: 110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/8 of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*q - 11 = 10, -28 = -4*t + 4*q. Let s(x) = -6*x**2 - 6*x - 6. Let w(h) = -5*h**2 - 5*h - 5. Let c be (15\/9)\/(30\/(-108)). Give c*s(u) + t*w(u).\nAnswer: u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, 8, -4.\nAnswer: -4, 3, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 221372.\nAnswer: 1\/221372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 12*y - 14. What is m(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*k + 57*k + 2175 + 205 = -238 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 323 + 104. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + -151. Let a = s - -80. Let x be (-16)\/a*(-15)\/10. Solve x*z - q + 8 = 3*z, -6 = -2*q for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/26 + (-8)\/(-52). Is 1\/3 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3979 and 1.76.\nAnswer: 7003.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.96667 + 0.03333. Which is the closest to 0.1? (a) p (b) -5 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 2*c + 3. Let y be f(-3). Suppose -q + 3*j + 5 = y, 2*q + j - 15 = -5. Let t be ((-1)\/q)\/(36\/(-150)). Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -24*s - 480. What is c(-15)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 2, m: 4, r: 2, o: 3}. Give prob of picking 1 r and 1 l.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 252.93327 months?\nAnswer: 0.210777725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**3 - 3*i. Let d(c) = -7*c**3 - 5*c. Determine 6*d(u) - 10*s(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*c**4 + 2242379*c**3 + 172806774*c**2 wrt c.\nAnswer: 2016*c + 13454274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 7\/53, -3, 0.5?\nAnswer: 7\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzflx. Give prob of picking 1 x and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -133*f + 287. Let u(n) = 7*n - 15. Determine 4*a(k) + 77*u(k).\nAnswer: 7*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2110 (base 4) to base 13\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p + 18 = 3*r, 0 = -3*r - 2*p + 12. Let z be -7 + 6 + 0 + (5 - 2). Find the second derivative of -4*x**2 + 0*x**r - x**2 + z*x wrt x.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 + 5*b**2 + 19*b**2 + 10*b**2.\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -7*u**3 - 3*u**2 + u. Let n(m) = -29*m**3 - 13*m**2 + 5*m + 1. Suppose 185*s - z - 17 = 181*s, -4*z = 3*s + 30. Give s*n(t) - 9*o(t).\nAnswer: 5*t**3 + t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccvvcvcvccccccc. Give prob of picking 1 c and 1 v.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 3, -1, -3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**3 - 7*l**2 + 3*l. Let d(a) = 5*a**3 - 6*a**2 + 4*a - 1. Let z(h) = -3*d(h) + 4*f(h). Let u be z(10). Sort u, -4, 1.\nAnswer: -4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -18, 0, 3, 17, 4, 16 in decreasing order.\nAnswer: 17, 16, 4, 3, 1, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 4 = 92. Solve -9*j + 30 = -o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 11*t**6\/5 + 32*t**5\/5 + 29*t**4\/6 - 2*t**3\/3 - 114*t + 6. Let f(p) be the first derivative of w(p). Factor f(k).\nAnswer: 2*k*(k + 1)**2*(33*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -343*t**6 - t**5 + t**4 + t**2 + 11795 wrt t?\nAnswer: -41160*t**3 - 60*t**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -21194401.8 to the nearest one hundred thousand.\nAnswer: -21200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72*s**3 + 2*s**2 - 40*s - 13100172 wrt s?\nAnswer: 216*s**2 + 4*s - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1\/((-8)\/(-34)) - (-5)\/(-20) and 125.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6b6 (base 16) to base 7\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2802*o**5 + 15729*o**4 + 98921776*o**2 wrt o.\nAnswer: -168120*o**2 + 377496*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, n: 3, h: 2, d: 3, e: 3, f: 5}. What is prob of sequence nhn?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.195 in 4, -4, -3, -1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 300*n**3 + 5*n - 98*n**3 + 4*n**2 - 3*n - 138*n**3.\nAnswer: 64*n**3 + 4*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310\/186*(-99)\/(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + h - 47 = -36, -5*i - h = 21 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3))**(2\/23)*r**(-2)\/r**(-4) assuming r is positive.\nAnswer: r**(140\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2. Let g(o) be the first derivative of -1\/3*o**3 - 3 + 0*o**2 + 0*o. Calculate d(g(i)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 621803987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7507953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -48944 (base 14) in base 10?\nAnswer: -177440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 33*o - 189. Let x be t(-14). Is x smaller than 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 12 + 56*b - 4)*(-20 - 5*b + 20) - 5*b**2 + 4*b - 4*b as q*b**2 + v + f*b and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 6293*m**2 - 37731*m - 56583.\nAnswer: -(m + 3)**2*(m + 6287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2 + a + 6. Let p(b) = 21*b**2 + 6*b + 31. Let m be (-2)\/(-8) + (-301)\/(-28). Give m*x(l) - 2*p(l).\nAnswer: 2*l**2 - l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -15*x**4\/8 + 37*x**3\/18 + x**2 - 2*x\/3 + 39. Factor p(r).\nAnswer: -(r - 1)*(5*r + 2)*(9*r - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -28*s + 133. Let z(k) = k**2 - 3*k - 24. Let a be z(s). Solve 5 = -a*p - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 4594 - 34226 = 0. What is the closest to -2\/3 in -0.2, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15026400 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 - 955 = -87*t - 196 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 30 and 1.4?\nAnswer: 28.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45203 divided by 17?\nAnswer: 2659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 3. Suppose 16 = 71*u - 69*u. What is the smallest common multiple of f(-7) and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 10. Let v be w - (-255)\/(-35) - (-38)\/35. Which is the second smallest value? (a) 0 (b) 4 (c) v (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783.0531 minutes to milliseconds.\nAnswer: 46983186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - -2 - (476 - 504)) + -54.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4)\/(-40) - 278443\/(-170)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 2*f**2 - f**4)*(-1 + 3 + 0) + 4 - 2*f**4 - 10 + 10 - 2*f**3.\nAnswer: -4*f**4 - 2*f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -678, -1371, -2068, -2769, -3474, -4183, -4896?\nAnswer: -5613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*u + 4054000 = -83*u. Round u to the nearest 100000.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/69, 1\/2, 0.4, -2\/11, -50?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -860*p**2 - 880*p + 110. Let u(z) = z**2 - 8*z + 1. Calculate 4*n(s) - 440*u(s).\nAnswer: -3880*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 27447 in increasing order.\nAnswer: -2, 4, 27447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*d = 66373 + 70687. Which is smaller: d or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3754*u**2 + 12 - 51594*u - 12 + 53659*u wrt u?\nAnswer: 7508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-54)\/63)\/((-4)\/14). Suppose b + 8 = -2*a - a, a - v*b - 14 = 0. Let l(u) = -3*u + 2. What is the units digit of l(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:47 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 17*n + l = 15, -14*n = -4*l - 76 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*q**2 - 68*q**2 + 19*q**2 - 281*q**2 - 4582*q + 4582*q + (-3*q + q + 3*q)*(-q + 2*q + q) - 4*q**2 + 7*q**2 - 4*q**2 as g + x*q + j*q**2 and give j.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from {j: 2, x: 1, u: 2, h: 4, y: 1, p: 5}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -17, 1\/5.\nAnswer: -17, -1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 3*i**2 + 2*i + 3. Calculate z(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25812.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -222*t**5 - 149*t**5 + 886*t**2 - 964*t**2 wrt t?\nAnswer: -22260*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 + 3*d**2 - 227*d - 33 + 225*d + 27 + 105 in the form j*d**2 + n*d + b and give b.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -33*b**4 + 5*b + 9 - 3*b**2 + 0*b**2 + 0*b - 8*b. Let s(w) = -w**4 - w**2 - w + 1. Let f(q) = 6*s(q) - 2*v(q). What is the derivative of f(g) wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143364370*g + 243 + 143364370*g + 20*g**4)*(1 + 0 + 0).\nAnswer: 20*g**4 + 243","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 363 - 9575?\nAnswer: -9212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 4 + 2 + -15 + 2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 35*a**2. Let v(d) = -58*d**2 - 43. Give v(k(p)).\nAnswer: -71050*p**4 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -491888, -1967579, -4427070, -7870361?\n\"Answer: -491900*j**2 + 9*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126 by 5703.\nAnswer: 42\/1901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 5*w**2 - 7*w - 8. Let q be t(-6). Calculate the remainder when 3 + 1 - (q + 2) is divided by 1 + -1 + (26 - 23).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 9*t = 4*t + 14425, -3*n - t = -8649. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1456766 is divided by 2477?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/3 - 13082165*k**2\/3 - 104657272*k\/3 - 69771504.\nAnswer: -(k + 4)**2*(k + 13082157)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.13378 centuries in decades?\nAnswer: 371.3378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vavvabvvbvbav. What is prob of picking 3 b and 1 v?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -14*z - 5. Let p(g) = 2*g**2 - 523*g. Give p(h(a)).\nAnswer: 392*a**2 + 7602*a + 2665","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5836, 4650, 3454, 2242, 1008, -254, -1550, -2886?\n\"Answer: -k**3 + k**2 - 1182*k + 7018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -406*r. Let y(p) = -205*p**2. Give y(o(b)).\nAnswer: -33791380*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58213 + 81501. What are the prime factors of j?\nAnswer: 2, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6592323908.\nAnswer: 2, 41, 980417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -7061734.\nAnswer: 3\/7061734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 538, 536, 524, 496, 446, 368?\n\"Answer: -v**3 + v**2 + 2*v + 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 less than -1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 8:57 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 3.5\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741886 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14694 (b) -1 (c) -0.4 (d) 0.1 (e) -2 (f) 9\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 2700*p**2 + 49856*p.\nAnswer: 4*p*(p + 19)*(p + 656)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - b**3 - 45*b - 68*b - 54*b - 57*b + 224*b.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2687 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: (-2 - (-6 - (-4 - 4))) + 15 + -18 - -100\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + sqrt(320) + 1 - (sqrt(320) - (sqrt(320) - (sqrt(320) + 1*sqrt(320)*-4))))**2*-5.\nAnswer: -960*sqrt(5) + 76815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4445\/8 - -174905\/296. Let k = -28189\/666 + t. Find the common denominator of k and -91\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Let m(f) be the second derivative of 0*f**3 - 4*f + 1\/4*f**4 + 0 + 0*f**2. What is w(m(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -5 - 22 - -18?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*l**3 - 145*l**3 + 74*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**4)\/(u**15\/u) assuming u is positive.\nAnswer: u**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 51. Suppose -202 = -4*m + d. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*((1*sqrt(1088) + -5 + (0 + sqrt(1088) + sqrt(1088) - sqrt(1088)) + -1)**2 - (sqrt(1088)*1 + 3)**2*-4).\nAnswer: -52658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by (2*(-6)\/8)\/(20\/(-520)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9626 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1168915044973\/257 - -4548317081. Let b = 9513 - j. Let r = b + 5409\/1028. Calculate the common denominator of r and 81\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2875 - 394*y + 2875)*(-2 + 2 + 1) to h*y + p and give h.\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -12 + 46. Calculate the greatest common factor of 170 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27417 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -24*p + 16. Calculate w(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3853 - -155415.\nAnswer: 151562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20013336118 + 1856.4.\nAnswer: -20013334261.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1215670932.\nAnswer: 2, 3, 7, 4824091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 13*j + 5. Let d(g) = 32*g + 12. Let c(f) = 2*d(f) - 5*y(f). Let p(r) = 28*r - 3. Give -3*c(h) + p(h).\nAnswer: 31*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4 + 2. Suppose 0 = d - l - 3, 5*d + w*l = 4*d - 1. What is the third derivative of -3*i**d - 31*i**4 + i**4 + 32*i**2 wrt i?\nAnswer: -720*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 7*o**2 + 10*o + 8. Give b(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74310160 and 11010.\nAnswer: 3670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2706 times -4082?\nAnswer: 11045892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1333633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*j = -1, -j = -4*z + 2*z + 21. Calculate the remainder when z is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5 - 3*u + u - 5 + 0*u. Let j be f(-7). Let k = j - -4. Solve -2*c - k = -5*b, 4*b + 5*c - 10 = 3*c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 3:42 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*4\/2 - 0. Let c be (0 + p)\/(2\/2). Let l = 8 - 11. Is c greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -0.5 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(176) + 4 + sqrt(176))*4.\nAnswer: -192*sqrt(11) - 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 33*h**4 + 19*h**2 - 7*h - 7. Let u(z) = 16*z**4 + 9*z**2 - 4*z - 4. Let y(v) = -4*n(v) + 7*u(v). Find the third derivative of y(i) wrt i.\nAnswer: -480*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 28 = -3*g - g, -68*h + 28*g = -79*h + 190 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1189\/(-203) - 3\/21?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -12.8 (b) 22 (c) -2\/5 (d) -34\/49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ccba6a (base 14) to base 16\nAnswer: 6a012e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 43, 46, 59, 88, 139, 218, 331, 484?\n\"Answer: d**3 - d**2 - d + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14462.\nAnswer: 2, 7, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/21 + 13382*u**2\/21 - 146180*u\/21 - 1736800\/7 = 0.\nAnswer: -15, 26, 6680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 14. Suppose -5*f - 3 = -k + 1, 0 = b*k - 4*f - 12. What is the first derivative of -1 - 3*x**2 + k - 7 wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + d - 39 = -140, x + 3*d - 9 = 0. Suppose -2*p - 5*b = -355, -4*p + 3*b = 4*b - 719. Suppose -x*n = -21*n - p. Is n a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cceecceeeee. Give prob of sequence cccc.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3064*k + 371837 = -34495*k + 1607*k - 2700035 for k.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 200059477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 7:11 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 + 1. Let x be n(1). Suppose x*g - 3*m = 756, 3*m + 37 - 331 = -2*g. Calculate the remainder when g is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*x**3 + 17*x**3 + 75*x**3 + 51*x**3 - 230*x**3.\nAnswer: -30*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -656.5 less than -0.05?\nAnswer: 656.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-306)\/(-54) + (-5)\/3. Let m(z) = 2*z**3 - z**2 + 7*z + 9. What is the tens digit of m(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3568 (base 13) in base 8?\nAnswer: 16542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -467\/5663428154575 + 11313981074041689337\/29812433054814818950. Let t = x - -2\/158555. What is the common denominator of 21\/20 and t?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 216697503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -583*q**3 - 36*q**3 - 1557*q**3 + 201*q**3 - 522*q**3.\nAnswer: -2497*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -861545122*g**4 - 2498637*g - 17?\nAnswer: -10338541464*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from gcmltjcj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**3 + 6*v**2 + 6*v. Let q(c) = 6*c - 14*c + 13*c + 4*c**3 + 3*c**2 + 2*c**2 + 0*c**2. Give 6*q(o) - 5*x(o).\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/11)*f**(-1\/4)*f)\/(f\/(f\/(f\/(f\/f**1))))**(13\/3) assuming f is positive.\nAnswer: f**(-425\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d - 7. Let b(q) = 2*q + 4. Let n(m) = -5*b(m) - 3*u(m). Give n(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -2. Suppose 1011 = -o + n*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10247 is divided by 283?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.214314 tonnes?\nAnswer: 4214314000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, d: 7}. Give prob of sequence dcd.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -40*v**2 - v + 1. Let g be w(1). Let z = -27 - g. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74595 * 67\nAnswer: 4997865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 480 * 1854.\nAnswer: 889920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -252*g - 46*g**3 + 252*g. What is the tens digit of k(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - (sqrt(252) + (sqrt(252) + 2*sqrt(252))*3))\/sqrt(12))\/(sqrt(12)\/(sqrt(4) - sqrt(700)\/sqrt(7))))**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 + y - 9*y + y**3 + 15 + 2*y - 2*y**2. Let n be o(7). Let j = 221 - n. 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: Let d(g) = g**3 - g**2 + 9. Let f be d(0). Find the first derivative of -2*k - 4*k + k + 0*k + f wrt k.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318 = -11*t - 42*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 0)\/(-4 + 53\/14). What is the common denominator of s\/96*78\/(3\/1) and -17\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 + 3*c**2 - 5*c**2 + 20 - 14*c**2 with respect to c.\nAnswer: -32*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrxx when four letters picked without replacement from {r: 2, x: 17}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**4*v**3 - 7*m**3*v**3 - 6*m + 161*v**3 wrt m.\nAnswer: 4*m**3*v**3 - 21*m**2*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 281505 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**4 - 6*c - 62*c**2 - c**3 - 50*c**2 + 2 + 109*c**2 to g*c**4 + m*c**3 + t + n*c + j*c**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.8 + 0.8. Let o = 7000 + -7002.999. Let a = o - k. What is a rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2306227, -2306226, -2306225, -2306224, -2306223?\nAnswer: -2306222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**4 + 131636*y**3 + 45351640*y**2 + 45220000*y = 0.\nAnswer: -340, -1, 0, 33250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**3 - 1119*n**2 + 1116*n = 0. Calculate n.\nAnswer: 0, 1, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a decade in years?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**5\/20 - u**4\/3 - 3*u**3\/2 + u**2\/2 - 3*u. Is f(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5)*(-115)\/(-46)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58807, 117638, 176469, 235300?\nAnswer: 294131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 3:01 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1181, 2362, 3543, 4724?\n\"Answer: 1181*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - y - 2)*(0*y + 2*y**2 + 0*y) + 3*y**3 - 3*y**3 - 3*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13168, -52740, -118702, -211060, -329820, -474988?\nAnswer: -646570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140253 (base 6) to base 8.\nAnswer: 31411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 12. Let a be v(15). Find the first derivative of -118*c + 238*c - 125*c - 2*c**a + 52 wrt c.\nAnswer: -6*c**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 159, -7, 1172 in descending order.\nAnswer: 1172, 159, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-1 + (-803)\/4). Let q be (9073\/(-22))\/(9 - 11). Let b = v - q. Calculate the common denominator of -9 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7770.\nAnswer: 2, 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 146431 (base 8) to base 9\nAnswer: 80018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 315495 = 3*m, 0 = -3*m - 4*g - 14298 + 329791. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.56, 58\/7, -0.4 in descending order.\nAnswer: 58\/7, -0.4, -0.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -111 + 520 + 115 - 2*d + 97 + (2 + 0 - 1)*(-d + 0*d - d) as h*d + t and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -414, -415, -416, -417, -418?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22673448 is divided by 65720?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 14*d - 84. Let u(k) = -27*k + 157. Let a(m) = 7*u(m) + 13*y(m). Give a(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 203284226 to the nearest 100000.\nAnswer: 203300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1297 - 436. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 less than -27110\/631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*d + 283*d - 3531*d.\nAnswer: -3630*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*u - n, -4*n = -5*u - 9*n + 45. Suppose -5*o = -3*r - 32, 2*o + u*r = -4 - 4. What is the remainder when 5 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -495, -496, -497?\n\"Answer: -o - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n = -3*n + 35 - 94 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) + (-7)\/14. Suppose -496 = -4*m - n*m. Suppose -4*k + l + m = -3*l, 0 = 4*l - 4. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34281 + -33644. Calculate the highest common factor of 2184 and g.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 16*d = 4014. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + a - 1. Let w be g(0). Let t be w\/8 - (-272)\/128. Solve -5*i + 8 = 3*d, 0 = 2*i + t*i - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cba when three letters picked without replacement from ciacaab.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -385\/12?\nAnswer: -385\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 103788 and 24687.279.\nAnswer: 128475.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 20*d + 17. Let b(r) = 7*r + 6. Let m(a) = -17*b(a) + 6*t(a). Let u(h) = 3*h**2. Give u(m(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*j + 9*j - 5 + 1 - 18*j + 14*j + 1 + 7*j.\nAnswer: -8*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 24*l**2 + 20*l + 32. Let k be (-10)\/2*(2 - (3 + 0)). Suppose -5*m = -4*x + 113, -9*m = -4*m - k*x + 110. What is the hundreds digit of g(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285 + 33867*m**2 + 28985*m**2 - 285.\nAnswer: 62852*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(-5 + 4 + 467*j - 441*j).\nAnswer: 52*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123*i*n + i*x**2 - 2*n**2*x**2 + 3*n*x**3 + 155*x**3 with respect to n.\nAnswer: 123*i - 4*n*x**2 + 3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365400 greater than 2365400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**3 - 3*w**3 + 14245281*w - 14245298*w.\nAnswer: 7*w**3 - 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f - f)*(13 - 46 - 62).\nAnswer: -95*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-one thirds of a hour?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 3*o = 5*i + 25, 4*i = 3*o - 17. Suppose -u + 6 = 2*r, -r - o*r - 28 = -3*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2946.9995011 + -2947. Round k to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (952\/21 - 47)\/25?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1121440 (base 5) to base 15\nAnswer: 5eea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 902759 and 1716?\nAnswer: 10833108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68450683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 3 - 2)*(-710*p**4 + 4*p**5 - 1497 + 1564*p**4 - 854*p**4).\nAnswer: 24*p**5 - 8982","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m - 3. Let n be q(-1). Let x(j) = 3*j**2 - j - 1. Let h be x(n). Suppose -13*y = -16*y + h. Calculate the remainder when y is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5376 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + d - 3*d - 12 = 0, 0 = d + 1. What is the units digit of 5*w*(-16)\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*x + 1472979 + 4107041 = 0, -k - 3*x - 1859988 = 0. Round k to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d + 5. Let n(h) = 15*h - 17. Let q(k) = -10*m(k) - 3*n(k). Let u(c) = 11*c**2. Calculate u(q(l)).\nAnswer: 275*l**2 + 110*l + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2020 (base 3) to base 5\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m = 0. Suppose -3*g - 9 = -m*g. What is the units digit of (3\/g)\/4*-20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -4507 (b) -0.36 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 9:35 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*b + 10*b - 6*b as n + s*b and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3714562*z**3 + 2*z - 105487?\nAnswer: -22287372*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1062311624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -524814 divided by -3803.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhkk when four letters picked without replacement from hhkeeehlkhkkkk?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(5) + 1 + 3)*-5 - (-4 + sqrt(245) + 1)**2*6.\nAnswer: -1529 + 247*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 474913.6m?\nAnswer: 47491360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 738408?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3074900 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000033210377 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 7) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxqh when four letters picked without replacement from {z: 5, x: 2, h: 1, q: 3, w: 1, c: 1}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46.83 * 4.578.\nAnswer: 214.38774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(450) + -2*(sqrt(450) - sqrt(450)*4))\/(sqrt(576)*-1 - sqrt(576)).\nAnswer: -175*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(300) + (sqrt(5) - (-5*sqrt(5) - sqrt(5))**2) + sqrt(5) + 2.\nAnswer: -178 + 21*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*l = o + 21, 2*l = 5*o - 43. Let j be 223\/17 + 1 + (-57)\/51. Suppose 8*z**2 - 40*z - j*z**2 + o*z**2 + 100 = 0. Calculate z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1809758 divided by 3.\nAnswer: 1809758\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -21*h**2. Let l(c) = 396452*c. What is q(l(i))?\nAnswer: -3300657954384*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-825)\/110*(-4)\/175.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11073475, -22146841, -33220207, -44293573, -55366939?\n\"Answer: -11073366*h - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s - 39*s = 4. Let o = 0.3 - 0.2. Which is the fourth biggest value? (a) o (b) s (c) -1 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.05 + -4. Let j = s - -0.45. What is the smallest value in j, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**2 - 1. Suppose 5*f - 4 = -19. Let k be (f - -3) + -1 + -9. Let n be (k\/15)\/(2\/3). What is q(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10789411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -385580 divided by 29660\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t - 57*t + 24*t.\nAnswer: -68*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17883367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.616 and 0.3112696475.\nAnswer: 9.9272696475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -283223 and 1.25?\nAnswer: 283224.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 15) in base 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*(sqrt(171) - -4*sqrt(171)*-2 - sqrt(171)))\/(sqrt(1089) - -2*sqrt(1089)*5)*5 + 3.\nAnswer: -160*sqrt(19)\/121 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-27)\/81 + 16\/(-6))\/5. Sort 2\/5, z, 6 in ascending order.\nAnswer: z, 2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aggc when four letters picked without replacement from acfaagaagfwcccacacg.\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 3*k**2 - 6*k + 5. Let g(m) = -m**3 - 11*m**2 - m - 7. Let b be g(-11). Calculate o(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 66 (b) 164 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -34 + 8*f + 34. Suppose 7*x - 10*x = 0. Let u(z) = -2*z + x*z + z. What is u(a(o))?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1018?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 7*j + 5. Let d = -12 + 19. Let p be c(d). What is the second derivative of 2 - 2 + a - 2*a**p wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 r, and 1 a when four letters picked without replacement from ajvvvaavjrvjaajvaaj.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 189 = -3*c, -5*a + 134 + 52 = -2*c. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-3 - (-3 + 8)) + 8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 z when four letters picked without replacement from zzzzztzttz?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7467 != -512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-175)\/15)\/7*-3 - 2. Suppose 4*h + d = i*h - 3, 2*h = 4*d + 24. Solve 0 = -h*t - 4*o - 0*o + 22, -t + 5*o = 24 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2. Let d(z) = z. Suppose 1 = g - 1. Let p(v) = 6*v. Let x(b) = g*p(b) - 14*d(b). Determine x(u(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -28\/5, 2\/9, 5 in ascending order.\nAnswer: -28\/5, -0.06, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28786814*z**4 - 2*z**3 - 3*z**2 - z - 30048409.\nAnswer: 690883536*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -10*u - 7. Let g be -2*1 + (-4)\/4. List the prime factors of b(g).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 9 + 2 - 2*v**2 as m*v**2 + h*v + w and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1502 + 12237. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**5\/60 + p**4\/12 + p**3\/2 - p**2. Let t be s(-2). Let x(r) = -t + 5*r**2 - 2*r - 4*r - 6*r**2. What is x(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 243822045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/x**(-2\/5))))**(-2\/3))**(-2\/93) assuming x is positive.\nAnswer: x**(28\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-34)*y\/y**(2\/45) assuming y is positive.\nAnswer: y**(1618\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 23 (b) -0.5 (c) -19\/50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6760 and 5004090.\nAnswer: 20016360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2*z = -28, 1257*p - 3*z + 8 = 1258*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11397689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3*w = -8, -2*r - 3*r = 4*w - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/5)\/(h**(-2)*h)*(h\/h**(-1))**7 assuming h is positive.\nAnswer: h**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 223. Let k(c) = c. Let s(x) = -6*k(x) + y(x). List the prime factors of s(0).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 4*s**2 + 2*s + 19540076 - 19540071 + 4*s**3 + (-4*s + 4*s - s)*(-4*s**2 - 2*s**2 + 5*s**2) as t*s**3 + l*s**2 + o + y*s and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-4 + (-136)\/(-32)). Let z be 16\/o + (1 - 2\/(-6)). Put 5, z, 2\/11 in descending order.\nAnswer: 5, 2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 1980*u**2 + 12095*u - 14070.\nAnswer: -5*(u - 402)*(u - 1)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*o**4 - 44759*o**3 - 227*o**2 - 8*o - 136 wrt o?\nAnswer: -648*o - 268554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10507564 = 296*o - 1163420. What is the thousands digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4366, 8724, 13086, 17452?\nAnswer: 21822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - 74?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -984 - 1034 + 2*r**2 + 2020. Let h(u) = 1. Determine b(f) + 4*h(f).\nAnswer: 2*f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 627.15247 days?\nAnswer: 89.59321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 + -0.1. Let i = 6 - 5. Let k = -1.2 + i. What is the closest to 2\/7 in 5, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/26 - (62 + (-102123)\/1638)*(-4)\/(-9).\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-126)\/(-4))\/((-6)\/(-16)). Suppose 0 = 5*o + q - 85, -2*o + 5*q + n = 23. Suppose -2*w + 97 = 21. Calculate the lowest common multiple of o and w.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**3 + 32993*l**2 - 90706005*l - 30239001 = 0.\nAnswer: -1\/3, 5499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5772 and 1327782?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - 581*j - 4755. Give p(-282).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + (-4 + -4)\/4 + 3. Sort 3, 1, -1, v in decreasing order.\nAnswer: 3, 1, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3726, 4821, 5914, 7005, 8094, 9181?\nAnswer: 10266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -535348, -1070670, -1605962, -2141218, -2676432, -3211598, -3746710?\n\"Answer: h**3 + 9*h**2 - 535356*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**6\/15 + d**5\/5 + 5*d**4\/24 + d**3\/12 - 19*d + 18. Let j(a) be the first derivative of l(a). Factor j(f).\nAnswer: f*(f + 1)*(2*f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14\/1261 - -3480206\/13871. Let d = 37332\/143 - t. Is 10 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1240, 1195, 1136, 1057, 952, 815, 640, 421?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 5, 31, -157, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3856 is divided by 382?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 4*s**2 - 5*s - 37. Let i be k(-6). Let p be ((-10)\/4)\/(i\/(-52)). Solve 3*n = 4*m + 1, -p*n - 3*m = -3*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -2329*w**6\/120 + 1486*w**3\/3 - 421*w**2 + 6*w - 2. What is the first derivative of g(i) wrt i?\nAnswer: -6987*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j - 87. Let b(g) = 3985*g**2 + 4035*g**2 - 8019*g**2. What is b(k(x))?\nAnswer: 4*x**2 - 348*x + 7569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 6:36 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -6 + (-162)\/48*2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - 40 - (2 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2488654.\nAnswer: 2, 7, 177761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 748 and 2822?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -17, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 322*w - 54. Is v(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-12\/11)\/p*p**20)\/(p**(-2\/23)\/(p**7*p)) assuming p is positive.\nAnswer: p**(6577\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*u - 410 = -378*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000059215 rounded to seven decimal places?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a (base 12) to base 16.\nAnswer: -d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r + 1. Let k(u) = 1. Let s(m) = -2*k(m) - p(m). Let y be s(6). Suppose 4*g - 3 = y. What is the lowest common multiple of g and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -1\/4, -48\/41, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -64. Let r = 10 - n. Does -12 = r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/74))**(-1\/22) assuming d is positive.\nAnswer: d**(-1\/1628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*n - 7 = 0, 7*n - 109 = 3*l - 81. Let a(c) be the second derivative of -7\/12*c**4 + 1\/20*c**5 + c + 0*c**3 - 3*c**2 + 0. What is a(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107898*y**3 + 107896*y**3 - 4*y**2 + 6*y**2.\nAnswer: -2*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Let j be 3 - -1 - c*1. Calculate the highest common divisor of j and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 8*t + 5. Let p be k(9). Sort -1, p, 2 in decreasing order.\nAnswer: 2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 9:44 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 17. Let i be l\/(-12)*3\/(-5). Put -0.3, 1, i in decreasing order.\nAnswer: 1, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 234 - 139. Is 38 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 101, 25, -47, -103, -131, -119, -55?\n\"Answer: 2*h**3 - 10*h**2 - 60*h + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356544471 is divided by 6685.\nAnswer: 6681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*v**2 - 8*v + 8*v)*(-3*v**3 - 3 + 3)*(6 + 2 + 0).\nAnswer: 288*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 295.65 - 295.308. What is the biggest value in 4, f, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/6, 1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from gggmgmmggmgmgg.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 1, 150 in decreasing order.\nAnswer: 150, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -1) + (-18)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76.83 + -80.1. Let v = g - -0.27. What is the closest to 2 in -1\/6, -3\/7, v?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 51*l**2. Let o(h) = 1851*h - 1. Determine o(s(i)).\nAnswer: 94401*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 - -87. Suppose -22*f + 36 = -b*f. Suppose 8*q = -39*q + 5*q. Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -6. Suppose 2*i = 3*y - 0*y + 7, -1 = -2*i - 3*y. Suppose q - f = -i. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5004 bigger than -21.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 54*h**2 - 99 + 8 - 47*h**2 - 10*h. What is the units digit of f(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 16. Solve -v*p + a - 12 = -a, 5*a - 25 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 41, -4 in ascending order.\nAnswer: -4, 1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 20*l**3 - 14*l**2 + 12*l - 183. Is 75 a factor of r(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9209568 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*t - 38*t + 29*t + 845 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12426 - 12426. Which is smaller: -1\/4364 or r?\nAnswer: -1\/4364","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 - ((-2 - -2) + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3668 + 3596. Which is bigger: -58 or n?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*s + 1531*s**2 - 1529*s**2 + 9*s.\nAnswer: 2*s**2 - 61*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 10 + 49 + (-6 - -2)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from seesserreesjesmsljs. What is prob of picking 2 r and 1 m?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 151*p**2 - 30*p - 6. Let k(l) = -455*l**2 + 85*l + 17. Let t(y) = 6*k(y) + 17*n(y). Let a(j) = 2*j. Give a(t(x)).\nAnswer: -326*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 26*m - 3800. Let h(i) = -31*i + 3799. Determine -6*d(a) - 5*h(a).\nAnswer: -a + 3805","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7188, 28747, 64680, 114987?\nAnswer: 179668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 979 = 5*s - 0*s, 5*b = -3*s + 593. Suppose 15*u + 387 = 4*g + 12*u, -2*g + 4*u = -s. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(13) - (2*sqrt(52))\/sqrt(4)) - (sqrt(1573) + 0 + sqrt(1573))*3.\nAnswer: -67*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.5 - 14. Let k = -6.4 - w. Let o = -2 - k. Which is smaller: -0.2 or o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8319138349.99945 + -8319390638. Let h = -252299 - c. Let o = h - -11. What is o rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*u - 50*u + 40 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = -76*h + 77. Let r(f) = -3*f + 0*f + 2*f. Let i(v) = v + 2. Let z(d) = 2*d + 2. Let s(l) = 3*i(l) - 2*z(l). Determine h*s(j) + 2*r(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1856*q = 1845*q. Are -8\/223 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 0*q**2 + 20 - 4*q + 34*q**3 + 11*q**2 + 0*q**2 - 32*q**3. Calculate the remainder when 101 is divided by k(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/19 + 896*h\/19 + 100352\/19 = 0. What is h?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**2 + 80*y - 8. Let g be k(20). What is the nearest to g in 3, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - 7)*(-1)\/2. Suppose -3*b + d + 16 = u, -b = d - 3*d - 2. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 45 + 16*k.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 653235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*o**2*q - 743601*o**2 - 500*q wrt q?\nAnswer: -9*o**2 - 500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(931))**2 + (sqrt(342)\/sqrt(6))\/sqrt(3).\nAnswer: sqrt(19) + 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 432*w - 606. Let s(d) = -144*d + 203. Let u(j) = -8*s(j) - 3*x(j). What are the prime factors of u(-11)?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -8 + 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 171552 and 85776.\nAnswer: 171552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 125*z**2 - 60*z - 5940.\nAnswer: -5*(z - 22)*(z - 9)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -278, 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 5*a + 22, n + 2*n - a = 1. Let z(f) = -9*f + 3. What is z(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 + 304021*c**2\/3 + 23067466279*c\/3 - 2013778897647.\nAnswer: (c - 261)*(c + 152141)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 31*l + 1 - 1.\nAnswer: -31*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -180 - 5828?\nAnswer: -6118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70.5 - 66.41. Let a = i - 0.09. Let g = -1 - a. What is the closest to 1\/3 in -1\/5, 3, g?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 40, 68, 102, 142, 188, 240?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 2848?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19241739 to the power of 1\/2, to the nearest integer?\nAnswer: 4387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/90432 and -75\/22.\nAnswer: 994752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-3) - 0\/2. Let j = 1 - 2. Let i be j*(2 - 3\/1). What is the nearest to f in -0.4, 0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5283950 divided by 105679?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-1 + -1)) + -9 + 7 + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 139 = -5*k + 301, 3*k - 260 = 4*m. Let y = k - 7. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 277cb4 (base 13) to base 16\nAnswer: ea643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 + 2. Let o(x) = 4*x**3 - 15*x**2 + 52*x + 1111. Let c(w) = -3*n(w) + o(w). Find the first derivative of c(h) wrt h.\nAnswer: 12*h**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -304, -276, -250, -226?\n\"Answer: -q**2 + 31*q - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*k + 2*k - 30, 0 = -3*p - 4*k - 8. Let f(q) = -q**3 - 5*q**2 + 4. Let v be f(-5). Find n such that -n**3 + 2*n**4 + 2*n**v - 5*n**p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 27) + (4 - (6 + -4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from cgtetsstmtgc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1276, -2556, -3836?\nAnswer: -5116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6912508926 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/5 and -5\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5)**(-18)*(b**(-9\/7)*b)\/(b*b\/(b\/(b\/b**(-13)))) assuming b is positive.\nAnswer: b**(-737\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(56) + sqrt(560)\/(sqrt(10)*2))\/sqrt(8).\nAnswer: -2 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgd when three letters picked without replacement from qsqdgeddsq.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1982944 is divided by 6377.\nAnswer: 6074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.2785 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4*sqrt(88)*-1*6)\/(sqrt(72)\/(2*sqrt(9)) + 2*sqrt(8)*-3))*1.\nAnswer: -48*sqrt(11)\/11 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 166012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 284 - 279. Let b(u) = -u**3 + 4*u**2 - 2*u + 5. Give b(x).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3 = d + 12, 2*f - 18 = 4*d. Suppose 4*o = -5*x - 10, 2*x = o + 3*o - 32. Let n be (4 + x)\/(-6)*-5. Is d equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + sqrt(1100) + (sqrt(1100) + 2)**2 + -5 + 4*sqrt(1100).\nAnswer: 90*sqrt(11) + 1106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31970646 to the power of 1\/3, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 27*f - 71. What is m(5)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 0*z + z - 6*z - z + 3*z + (-23 + 23 + 58*z)*(-1 + 3 - 4))*(-8*z**2 + 3*z**2 + 3*z**2) to k*z + c + r*z**3 + i*z**2 and give r.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 11, u: 2}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(-9 - 9 + 8)*(-w - 2 + 2 + 2).\nAnswer: 10*w - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - ((-216)\/(-3))\/(-3). Let z = -15 + m. Suppose -2*c = c + 3*v, -5*v = -2*c + z. Let s(q) = -12*q + 1. Calculate s(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25308, -25306, -25304, -25302?\nAnswer: -25300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -43*p**4 - 57 + 29*p + 14*p**4 - 54. Differentiate u(v) with respect to v.\nAnswer: -348*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2760481*f**4 + 6385084*f wrt f.\nAnswer: -33125772*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 19*l - 20*l + 6 = 0, -4*f + 4*l - 8 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6 - 6 - 3*f. Let t be n(2). Let o = 6 + -1. Let j(g) = -4*g**3 - 8*g - 8. Let b(d) = -3*d**3 - 7*d - 7. Determine o*j(u) + t*b(u).\nAnswer: -2*u**3 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 6*o = 610. Suppose o - 73 = 2*g. Let i(z) = z**3 + 5*z**2 - 7*z - 4. Calculate i(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14754409687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 8. Let z = p + -7. What is the second smallest value in -0.5, z, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(((-260)\/30)\/26)*1\/(-1)*2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 4*x**2. Let p be i(-4). Let v be (-12)\/(-10)*15\/24*4. Suppose -t - 4*n = -12, -5*t + p*n + v*n - 9 = 0. Solve t*r = 5*r + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -205.5 + 206. Let t = -14.47 + -0.53. What is the second smallest value in k, t, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/3)\/((-212)\/21306). Solve -68*v + 5 = -w*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9720*l - 456 + 9720*l + 177*l**4 wrt l?\nAnswer: 708*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/10)\/(((1176\/(-35))\/21)\/(-8))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/16 and 35\/(-12) + -1 + 5.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 7) in base 11?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*w - 88 = 0, -2*w = -2*a - 0*a + 116. List the prime factors of ((-20)\/(-8))\/((15\/a)\/5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33563580 rounded to the nearest 100000?\nAnswer: -33600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 139783.5 milligrams in micrograms?\nAnswer: 139783500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1216) + -4 + 3*sqrt(1216)*2 + (sqrt(1539)*-3*-6 - (sqrt(1539)*-4 + 2)).\nAnswer: -6 + 254*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 5:50 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -82674*s + 330558. Determine c(4).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -252784 divided by -592?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4163.666 hours to milliseconds.\nAnswer: 14989197600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1844238 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -73, -91, -99, -97, -85, -63, -31?\n\"Answer: 5*s**2 - 33*s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1001, -999, -989, -965, -921?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 69 = p - 66, 6 = -2*p. Solve -j - 7 + 9 = h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 458 + -140. Let f = h + -160. Suppose 230 = 3*s + 2*z, -2*s = -0*s - z - f. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - f**2 + f**2)*(-f**2 + 2*f**2 + 0*f**2) + 2*f**4 - f**4 + 0*f**4 + 0*f**4 - 5*f**4 - f**4 + (-4*f**3 + 6*f**3 - 3*f**3)*(3*f + 60 - 60).\nAnswer: -7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 + 176. Let x = 52 + z. Let t = -158.00000117 + x. What is t rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.38 + 0.08. Let q = 34923 + -34920. What is the third smallest value in -2, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1010289 or 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -19818.644 to the nearest 10.\nAnswer: -19820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 30*b - 183. Let t be x(-23). Which is smaller: t or 924\/5?\nAnswer: 924\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-9)*s))**(-1\/80) assuming s is positive.\nAnswer: s**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98756 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.93 - -0.07. Let p = 5 - f. Which is the second smallest value? (a) -5 (b) p (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1115 - -32?\nAnswer: -1083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 6. Let y = b - 1. Suppose 0*f = -2*k - 2*f - 4, 2*k = -5*f - 13. What is the closest to k in 2, 1\/4, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.544772 decades in years?\nAnswer: 5.44772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 72*p**3 - 2*p**2 + 23*p - 39. Let m be u(2). Calculate the highest common divisor of m and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**2 - 3*b - 1. Let w(t) = -4*t**2 - 4*t - 2. Give -3*w(l) + 2*z(l).\nAnswer: 2*l**2 + 6*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*o = -102090, -8*r - 40836 = -10*r + o. What are the prime factors of r?\nAnswer: 2, 3, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3*l = 2*q - 12, q = -4*l + 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 2*g + g + (-2 + 8 + 4)*(1 - g - 1) + 3*g + 12 - 12.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6 + 16 - 9 + 8*f - 2*f. What is b(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -144*w**2 + 2*w**4 - 3*w**3 - 2*w**3 + 2 + 146*w**2 as z + n*w**4 + r*w**3 + q*w + i*w**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w - 46. Let l be b(8). Let s(u) = -3*u**2 + 12*u - 1. Let m(a) = 2*a**2 - 6*a. Let t(r) = 5*m(r) + 3*s(r). Give t(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h + 8*h. Suppose z + 11 = -h*f + 3*f, 3*f = 4*z - 1. Suppose 110 = f*s - 590. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-5)\/(-6)*(-54)\/(-1890)*-3.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 260*y - 226 + 168*y + 456 - 230 as a*y + n and give a.\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 3:01 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27\/5 (b) -54 (c) 2\/9 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (259\/(-1110)*-5)\/14.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1060308 (base 9) to base 10\nAnswer: 571058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 10:16 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**4\/4 + 7*f**3\/6 - 9*f**2 - 1. Determine u(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 84 = -3*g, -3*h - 3*g + 132 = 2*h. Let b = -6 - -14. What is the greatest common divisor of b and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t - 130. Let o be g(17). Let i = 1.97 - -0.03. Let q = -6 + 1. Which is the fourth smallest value? (a) o (b) q (c) i (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -37.534 and 24.\nAnswer: -13.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2753, -2863, -3159, -3737, -4693, -6123?\n\"Answer: -16*f**3 + 3*f**2 - 7*f - 2733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*o - 25, -o - 3 = 4*r. Let n be r\/10 - (-1)\/5. Let l(a) = 21*a + 105. Let v be l(-5). Is n >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2078 + -6239\/3. Which is smaller: q or 2\/1299?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = w, 0 = 3*a + 4*w - 27. Let j(b) be the third derivative of b**6\/120 - 3*b**5\/20 + b**4\/8 + 2*b**3\/3 + b**2 + 45. List the prime factors of j(a).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3670 or 1?\nAnswer: 1\/3670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1779260 divided by -355852?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 203\/4 - 50. Suppose -q + 8 = -5*q - 2*n, -4*q + 4*n + 16 = 0. Let l = 0.3 - 0.1. Which is the nearest to -0.1? (a) f (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(285)*-1 - sqrt(285))\/sqrt(5))\/sqrt(3) + (1*(sqrt(19) + 0) - 6*(0 + sqrt(19))) + -4.\nAnswer: -11*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 + 6 = 0, 3 = f - t. Let u(p) = -p + 7. Let v be u(f). Let l be (2\/(-12))\/(v\/(-6)). Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*i = 2, 5*v = 29*i - 25*i - 41 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**3 - 53*r**2 + 26*r + 6. Let p be k(26). What is the third derivative of -12*c**2 - 26*c**5 + 4*c**2 + 3*c**2 + p - 17*c**5 wrt c?\nAnswer: -2580*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7496815 or 7496820?\nAnswer: 7496820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -4 + 28 + -22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(2 + 0) + -3. Suppose -2*y - r = 3*q, -q + 3*y + 9 = y. Is q > -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7*p**2 + 3*p + 6. Let t(h) = h**2 - 1. Let f(z) = -5*t(z) - y(z). What are the prime factors of f(-9)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + ((sqrt(39)*1*-4)\/sqrt(3)*6)**2.\nAnswer: 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*x = 342*x + 11015 + 9478 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1284*c + 143 = -1295*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 9:58 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1873 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -215, -168, -91, 16?\n\"Answer: 15*n**2 + 2*n - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4)*i\/i**(-1\/59)*i assuming i is positive.\nAnswer: i**(-117\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/14 + 18\/4. Let u(x) = -x + 2. Give u(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*r**3 - 28*r**3 + r + 54*r**3 wrt r?\nAnswer: 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwww when four letters picked without replacement from bwwwbbw?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 346349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 3. Suppose -4*u + b = 2*i, -2*i - 24 = -3*u - u. Is i\/(-14) + (-330)\/(-21) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 718 = 1466. What is the greatest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 4, -2\/8601?\nAnswer: -2\/8601","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -154 or -42?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 32*c - 4050 = -31*c, 4*d - 2*c - 4052 = 0. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 + 22*r - 65. Let a be t(4). Suppose -80 = -b - w + 64, -5*b = -5*w - 680. What is the common denominator of (-218)\/b + a\/(-9) and -1\/8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884129?\nAnswer: 884129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 3) + -10 + -234 + 222\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 19*h - 3. Suppose 3 = -l + h. Suppose 0 = -0*o - 2*o + 6. Sort o, 5, l.\nAnswer: l, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x + 3*x - 3*x - 2. Let t be ((-4)\/24*8)\/((-2)\/3). Let n be -6*(t + (-21)\/9). What is y(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 179.8 to zero decimal places.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13.5 * -0.13\nAnswer: -1.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -485, -2105, -4805, -8585?\n\"Answer: -540*f**2 + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14417 + 69601 + 47296 = 1387*x + 748*x for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -3227 - -6783. What are the prime factors of l?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1011619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 498610953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 + 7 + 11)*(2*b**3 + b - b).\nAnswer: 156*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 24.507967 (b) 1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 1ed9d5?\nAnswer: -1ed9d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1280\/3831 + 1\/1277. What is the closest to 1 in l, 1, 0, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*n + 216. Calculate the smallest common multiple of 21 and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 5*p**2 + 2*p + 2. Let j be (-4)\/4*-5 - 1. Give m(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f = 316. Let q = f + -41. Suppose -z - 2 = -q. What is the highest common factor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, v: 2, a: 2}. What is prob of picking 1 v and 1 a?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c**2 - 4*c**2 + 10*c**2 + (3*c + 2*c - c)*(8*c + 32 - 32) to the form g*c**2 + z*c + k and give g.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/2873 and -62\/85.\nAnswer: 14365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -6.2. Let m = 361.4 + -401. Let r = -40 - m. Put r, g, -1\/4 in decreasing order.\nAnswer: g, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -87 + 4?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/15 (b) -3 (c) 6\/11 (d) 3403 (e) 40\/9 (f) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 495 + -495. Let c(x) be the second derivative of u + 1\/9*x**3 - 2\/9*x**2 - 9*x - 1\/54*x**4. Suppose c(i) = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in 4, -0.0291, -3\/2, -143?\nAnswer: -0.0291","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*i - 265*i + 126 = -46 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23\/67 - 2331\/7571. Let c = f + -613\/1356. What is the common denominator of 2\/24*(-314)\/5 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 433010012?\nAnswer: -433010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 15*y**2 + 44*y - 3853. Calculate i(-14).\nAnswer: -1529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26994 is divided by 588?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**3 - 138907 - 3*v**2 - 9*v**2 + 2*v**3 + 138925 + 15*v. What is l(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330028921?\nAnswer: 330028921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2609664 divided by -3.\nAnswer: -869888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/2134 - 523899\/4268. Let z = c + 122. Suppose 3*l + 2*l + 5 = 0. Is l >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/2)\/u*u**5)\/(u**(-2\/7)\/(u*u\/(u\/(u**3\/u)))))\/((u**(-1\/3))**30*(u*u**(1\/3))**(-21)) assuming u is positive.\nAnswer: u**(613\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Suppose 0 = 4*r + 5*j + 80, 7*r - 4*r - j = -41. Let n be 10\/r*(5 + 51\/(-12)). Which is the nearest to n? (a) 2\/11 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-462)\/(-28)*((-17)\/(-7) - (-81)\/(-189))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.57746 times 310?\nAnswer: 7929.0126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 1:45 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5314 and 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)*1)\/(sqrt(128)*-1).\nAnswer: -3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnd when three letters picked without replacement from dxnxddxxdxnxddxnndxn.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593 - 14573 = 60*n + 156*n + 4164 for n.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-6) + 9 - (2 + 1). Solve 2 = 5*s + 3*d - n, 2*s + 3*d - 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b3001 (base 12) in base 16?\nAnswer: 38f41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away 3.08?\nAnswer: -3.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 9) + 18 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 209 and 5662.\nAnswer: 62282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 - -121. Solve 0 = -4*u + f - c, u - 13 = -4*f - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 10*i - 20 = 8*i, -2 = -2*d + 4*i + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.3381 and 1231?\nAnswer: 1229.6619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -24?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 4:18 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a meter in millimeters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 7*j**2 - 9. Let y be (-4)\/(4\/1)*2. Let u(h) = h**2 - 1. Let c(w) = y*n(w) + 18*u(w). Find o such that c(o) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 - 47*q**2 + 78*q - 1323. Calculate the remainder when h(32) is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 383 or 15890?\nAnswer: 383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12064.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 350439 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106806 by 15258.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*k**3 - 65*k**3 - 70*k**3 + 272*k**3 - 66*k**3 + 2.\nAnswer: k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - r - 1. Let l(x) = -7*x + 2. Let p(n) = -2*a(n) + l(n). Let b(s) = -s. Let y be b(2). Let m(j) = -2*j**2 + 4*j - 3. What is y*p(h) - 3*m(h)?\nAnswer: 2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 16 - (1076 + -1104)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405.492 meters to kilometers.\nAnswer: 0.405492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69672 and 123.\nAnswer: 2856552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**10\/(h**3\/h))\/(((h**13\/h)\/h)\/(h\/(h**(-11)\/h))))**(6\/13) assuming h is positive.\nAnswer: h**(60\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 154 and -22200.\nAnswer: -3418800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 13*n**2 - 11*n + 13. Let x be 756\/(-60) + 3\/5. Let o be g(x). Which is the closest to -6? (a) -4 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 4*w + 8. Let b be (17\/(833\/56))\/((-28)\/(-98)). Suppose -13 = -s + b*z + 13, -3*s = w*z - 8. Let p(j) = -j - 1. Give p(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 2 - 2)*(45*f - 16*f - 13*f)*(-6 + 2 + 1).\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-980)\/(-25))\/7*(135\/(-18))\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 + -50. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(6\/19)\/q**20)\/((q*q**13)\/((q**(-19)\/q)\/q)) assuming q is positive.\nAnswer: q**(-1039\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 141226 (base 13) in base 12?\nAnswer: 1b6574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(2) - (sqrt(2) - (1 + sqrt(2))*2))*-3 - (sqrt(4)\/(-2*sqrt(128) - sqrt(128)) + -3)) + 2)**2.\nAnswer: 2009*sqrt(2)\/12 + 96481\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**3*h**3*t - 8*a**3*h**2*t + 3*a**3*h + 1321*a**2*h**3*t - 2*a**2*h**2*t + 16*a*h*t - 183*a wrt h?\nAnswer: -30*a**3*t + 7926*a**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6896)\/20688*411*3\/(-3)?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 305 - -37. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 27 - 16 + x**2 - 1 to the form y*x**2 + k + v*x and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5456, -10912, -16370, -21830?\nAnswer: -27292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 961*w**6 + 30*w**5 - 6*w**3 - 5343740*w**2 wrt w.\nAnswer: 115320*w**3 + 1800*w**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 15*v - 54. Let r be b(-18). Suppose -147 = 9*p + 276. Sort p, 4, r in increasing order.\nAnswer: p, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q - 8 - 7 + 4. Let y(p) = 3*p + 10. Let d(o) = o**3 - 7*o**2 + 4*o + 5. Let n be d(6). Let t(s) = n*y(s) - 6*x(s). Determine t(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + l - 35*l**4 - 376358*l**3 + 9*l**4 + 376365*l**3 in the form q*l**3 + g*l**2 + b*l + n + y*l**4 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 83*s - 86*s - 12, 7*s + 2*v + 28 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 72? (a) 3 (b) 0.1 (c) 102\/11 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*-2)\/4*(-3149 + 7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14713614 by 69078.\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/39 + 210\/9. Solve -7 = -4*h - i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)\/h)**(1\/6) assuming h is positive.\nAnswer: h**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1085*h*k**3 + 2*h + 4 wrt k.\nAnswer: 3255*h*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/sqrt(4)*5 - (sqrt(5100) + 4*sqrt(5100) + sqrt(5100)))\/(4*(-2*sqrt(192) + sqrt(192)) - 6*(sqrt(192)*2 + sqrt(192))).\nAnswer: 5*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 3\/908, 2\/23, 41.04?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6249497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 10926285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrkrkrrmrrrrrkrm. Give prob of sequence rmrm.\nAnswer: 11\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - g + 414 - 222)*(6*g**4 - g**4 + 6*g**4).\nAnswer: 22*g**5 + 2112*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 288092191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**2 - 29*u - 4. Let n be s(-7). What is the second derivative of 13*h - 12*h - 39*h**n + 8*h wrt h?\nAnswer: -234*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**14*g**(-1\/18) assuming g is positive.\nAnswer: g**(251\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6702 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhmgvlmmmm. What is prob of picking 2 m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5 (b) 0.5 (c) -2 (d) -0.16 (e) -1 (f) -3\/61222\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**2*z**3 - 2*h**2*z**2 + h**2*z - 3*h*z**3 - 5*z**4 + 163*z**2 wrt z.\nAnswer: 6*h**2 - 18*h - 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7301 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-13) - (-480)\/(-260).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -1. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*g + 9*g + 150. Suppose 0 = w + 4*i - g - 3, -3*i - 12 = -2*w. Suppose 90 = -9*j + w*j. Solve 0 = 4*p + 2*l + 26, -3*p - 5*l = -0*p + j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2\/428415, 1\/8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/15))**(-42)*b*b**24\/b*b*b*(b**(10\/3)\/b)\/b assuming b is positive.\nAnswer: b**(326\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176189697?\nAnswer: 3, 19576633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 9*i**2 - 8*i + 20. Let k be r(-10). Suppose k = -m + 2*c - 73400, -52962 = m + 3*c + 20438. What is m rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3037\/688 and 0.03 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/5))**(-2\/87)\/((j*j**(-5)*j)\/j**(-6)))\/(j\/(j*j\/(j*j**4\/j))*j**0)**(-22\/5) assuming j is positive.\nAnswer: j**(4423\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008182 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -44*f**2 + 61*f**2 - 4 - 29*f**2 - f - f**3 - 3 + 3. What is y(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2062, -4231, -6508, -8893, -11386?\nAnswer: -13987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59852246?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -82921 + 6?\nAnswer: -82918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2380.99446 rounded to 1 decimal place?\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*t + 1 + 82*t + 3*t**4 - 2*t**2 + 2 to the form g + v*t**4 + k*t**2 + r*t**3 + s*t and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 20. Let g be (-105)\/(-25) - 1\/5. Let z be 18\/(-22) - (g - 5). Which is the closest to 2? (a) v (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 13*c + 38. Give x(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852924 smaller than 2852912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (44\/(-6))\/((182\/21)\/13). Suppose 4*j - 433 = 239. Let s = j + h. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130065621?\nAnswer: 3, 7, 19, 23, 14173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 12 = -4*a. Let b(r) = r**2 + 12*r + 14. Let o be b(-11). Suppose 4*q - 2*w - a + o = 0, 5*q + w - 19 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -182, -10\/3, -4, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**4\/6 + 404*l**3\/3 - 2662*l**2\/3 + 4360*l\/3 - 448 = 0. What is l?\nAnswer: -168, 2\/5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -187, -169, -133, -73, 17?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**4 - 3*b**4 + b**4 + 4*b**4 - 2*b**4 - 7*b**4 + (-2*b + 4*b - 3*b)*(2*b - b**3 - 2*b) - 53*b**4 - 2*b**4 - 94*b**4.\nAnswer: -151*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3121568292 to the power of 1\/2, to the nearest integer?\nAnswer: 55871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47303 is divided by 3213?\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -179672 divided by 1214\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -36 = -453\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 120159, 4, 14\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u - 5. Let w(s) = s - 1. Let z(v) = p(v) + 5*w(v). Let n be z(-11). What is the remainder when -2*n\/(-4) - 642\/(-12) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*4\/(16\/2). Let t = 0.04 + -0.34. Sort 0.1, g, t in decreasing order.\nAnswer: g, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62540.\nAnswer: 2, 5, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (540\/24300)\/(1\/(-5))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6*(-21)\/(-14). Put 0.3, d, 2 in ascending order.\nAnswer: d, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 492773.3 - 0.13\nAnswer: 492773.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*q + 1025605 = 1024795 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(6*(-6)\/27)\/2. Solve 23 = -t*r + 13 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkzutkvzuukvqv. Give prob of picking 1 z and 1 t.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6750*o**4 + o**3 + 19*o + 3914348?\nAnswer: 27000*o**3 + 3*o**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 3\/3*4\/12*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 215764120 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3387972 divided by -3?\nAnswer: 1129324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2327102*b - 2327090*b + 1421 + 31 for b.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -20*g**2 - 22*g - 61. Determine v(6).\nAnswer: -913","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 3. Let v(q) = 1. Let r = -2 - -6. Give r*v(t) + b(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v**2 + 143*v + 41. What is a(17)?\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*y + 139*y - 67*y.\nAnswer: 236*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1181057069 to five decimal places.\nAnswer: 0.11811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8*(-10)\/(-320) + 14\/40)*5. Factor -8\/7*y**2 - 20\/7*y + 8\/7 + 20\/7*y**m.\nAnswer: 4*(y - 1)*(y + 1)*(5*y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = f - 1. Let r be (-2)\/f*(-1)\/(6\/51). Which is smaller: -18 or r?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.18956, -2, -3, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10 and 2.38.\nAnswer: 12.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q**6 + 0 + 0*q**4 - 1\/14*q**7 + 31*q**2 + 0*q**5 + 14\/3*q**3 + 0*q. What is the first derivative of d(n) wrt n?\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 14*x**2 + 47*x - 19. Let j(t) = 5*t**2 + 16*t - 6. Let u(r) = 6*h(r) - 17*j(r). Let q be u(8). Suppose -s = -4 + 3. Solve q = -d - s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82238*x = -41154*x - 41200*x + 1392 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00097296132 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1068863 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -1\/3, 2\/5, -2\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -41*z**2. Let l(d) be the first derivative of 37*d**2\/2 + 116. Give l(n(f)).\nAnswer: -1517*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -26328.6.\nAnswer: -26328.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b - 13. Let d(k) = -k - 1. Determine -6*d(f) + l(f).\nAnswer: -f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 0*m + 5 + 0*m**2 + m**3 + 1\/4*m**4. Determine k(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624481841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -14*o + 480. 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: Determine u, given that 24*u**3 - 3*u**5 - 4*u - 268 + 18*u**2 + 250 - 17*u = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-11)\/10)*286\/104)\/(2\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126204861.\nAnswer: 3, 1283, 32789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 450632 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 8:37 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2665 > -7611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 759674852 divided by 189918713?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.7395688 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 - 4 - (-1 + 1). Suppose g*n = -2*f + 1 - 4, 0 = 5*n - 3*f - 17. Let y = 4.989 + 0.011. Which is the closest to -2? (a) n (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w - 24. Let v be z(-5). Let k be v\/(0 - (-7 - -5)). Is k\/(0 + -2) + 1400\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j - 83 + 543 = 0. Suppose 3*d + 5*a = -2*d + 370, 4*d + a = 311. What is the remainder when d is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/(80\/(-60)). Let q be 3 + (-48)\/15 - 0. Let b = -27.7 + 28. Sort k, 3\/16, q, b.\nAnswer: k, q, 3\/16, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16256 = 114*v - 200116. Is 80 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136481731?\nAnswer: 19, 53, 135533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 281222 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2568.997602 + 2569. Round c to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m*m\/(m**(-2)\/m))\/m)\/m)\/m)**41)**(-34) assuming m is positive.\nAnswer: m**(-2788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*m**3 + 142*m**3 - 18*m**3 + (2*m - 11*m**2 - 2*m)*(-7 + 3 + 1)*(0 - 2*m + 0) to the form n + d*m**2 + a*m**3 + q*m and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, -3, -4 in decreasing order.\nAnswer: -3, -4, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - f = -10 - 2, 0 = -t - f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 20 = -4*b, -4*z + 9*b - 25 = 4*b. Let h(o) be the second derivative of z*o**2 + 0 + 3*o + 0*o**3 - 1\/3*o**4. Let f(g) = -g. Calculate f(h(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 7:01 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 4, -7, -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnczzzzczzczbbcnnzzz. Give prob of picking 1 n, 2 b, and 1 c.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 113*m + 497. Let k be t(-5). Is -206\/3 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 86*j**5 - 16*j**2 - j + 3. Let w(f) = -87*f**5 + 16*f**2 + f - 4. Let c(k) = -4*a(k) - 3*w(k). What is the third derivative of c(b) wrt b?\nAnswer: -4980*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u*u**(2\/45)\/u*u*u)\/u*u*u)\/u))\/u*u*(u\/u**(1\/12))\/u assuming u is positive.\nAnswer: u**(-203\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 2. Let y be u(0). Let -2\/5*q + 2\/5*q**y + 2\/5*q**3 + 0 - 2\/5*q**4 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*v**3 - 2*v**4 - 38*v**3 + 10 + 21 + 12*v**2 + 3 - 10*v**2 in the form z*v**4 + o + j*v**2 + k*v**3 + h*v and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**(-1)*c)))\/((c**5*c)\/c)*c**(-7\/4)\/(c\/(c\/(c\/c**5)*c)) assuming c is positive.\nAnswer: c**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from ufsnusswwdndsnn.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2115936 by -5688.\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -499412\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -161359*m**5 + 10*m**4 + 2*m + 10323900 wrt m?\nAnswer: -3227180*m**3 + 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 17231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a factor of 2897236419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25586.\nAnswer: 2, 11, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 9. Let s(z) = -34*z - 136. Let i be s(-4). What is f in 1\/3*f**b + 0*f + i = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*o = -73*o + 18*o - 1512 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 92 = -0*g. Let u(d) = 4*d - 4. Let a be 4\/(-22) - (-105)\/33. Calculate the remainder when g is divided by u(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2 - 1940865*b + 1940865*b + 4418*b**4 + b**2 + 857 wrt b.\nAnswer: 17672*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2. Let l(g) = -162*g**2 + 591904. What is l(c(n))?\nAnswer: -162*n**4 + 591904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257, 1031, 2319, 4121, 6437, 9267, 12611?\nAnswer: 16469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202220020 + 1?\nAnswer: -202220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 27*s**2 - 17*s - 31. Is r(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5 + 262*w**4 - 1796*w**3 + 2810*w**2 - 1275*w = 0. Calculate w.\nAnswer: 0, 1, 5, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((((-2)\/5)\/(-1))\/(-2))\/(36\/15)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2. Let d(f) = 182*f**2 - 7*f - 5. Let b(h) = -90*h**2 + 4*h + 3. Let x(t) = -7*b(t) - 4*d(t). Give x(r(a)).\nAnswer: -392*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 - 67*d - 47. What is b(23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 310\/18 + ((-8)\/36 - 0). Let m = z - 15. Suppose w = -o, 2*o + 0 - m = 0. Sort -3, 4, w, 0.\nAnswer: -3, w, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:45 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1043537036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/30, -4\/3, -12, 2\/3 in decreasing order.\nAnswer: 2\/3, -1\/30, -4\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.7852, -5\/234, 1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i**0\/i)))*i)**(-2\/29)\/(i*i\/i**(3\/5))**(-1) assuming i is positive.\nAnswer: i**(173\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59069 is divided by 488?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + y**2 - y**2. Let o(v) be the first derivative of -2*v**3\/3 + 3. What is o(f(m))?\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -28. Let g be -2 - 21\/(-77)*8. Which is smaller: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2234213 (base 5) to base 14\nAnswer: 107a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 473611, 947199, 1420773, 1894327, 2367855, 2841351, 3314809, 3788223?\nAnswer: 4261587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 20 = -3*q + 4*j, -9 = -2*q - j. Suppose -q*h + 27 + 53 = 0. Calculate the remainder when ((-6)\/(-12))\/(2\/244) is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 - 5389871*s\/2 + 29050709396641\/4.\nAnswer: (s - 5389871)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Let t = -2 + d. List the prime factors of 3*2*(-1 + t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t = -16*t - 2895. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-52)\/(-39) - 26\/(-3). Suppose 0 = -z*b + 7*b + 93. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-4)*(-6)\/18*1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**4\/24 + 73*c**3\/2 - 21*c**2 - 5*c. Let m be v(51). Do 270 and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l. Let c(a) be the first derivative of -3*a**5\/40 - a**3\/3 - 4*a + 13. Let x(y) be the third derivative of c(y). What is x(t(o))?\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -5*q**3\/3 + 518*q. Let o(l) = l. Calculate z(o(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + 4*y)*(-1 + 4*y + 1) + 3 - 3 - y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 9*z - 10*z)*(3*z + 1 - z - 4*z).\nAnswer: 28*z**2 - 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 460 = -5*j, -p - 269 = -3*j + p. Let z = j + -91. Solve 4*k + z*g + 14 = 0, 2 = 2*k + 5*g + 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 11:09 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*p + 3*r + 11, 5*p + 4*r + 10 = 0. Let d = 12 - 9. What is the third derivative of d*v**p - 2*v**3 + v**2 - 2*v**3 wrt v?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2227 - 90 - 122)*(-g - 3*g + 2*g + (4 - 3 + 0)*(-2*g + 2*g - 2*g)) to f + o*g and give o.\nAnswer: 9756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, y: 8, b: 2, r: 1, g: 1, h: 1}. Give prob of sequence ghb.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a milligram in micrograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + ((-429)\/(-20))\/(-11). Is k <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -s + 2. Suppose 5*h = -s*h + 20. Find c, given that -5*c**5 + 4 + 20*c**3 - 2*c**2 - 15*c + 0*c**h - 14 + 12*c**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/10)\/(10\/(-25)). List the prime factors of 106\/c - (-16)\/24.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k + 3*k)*(-5*k - 4*k + 3*k) + (2 + 2*k - 2)*(-2*k - 2*k + 6*k).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7181427.\nAnswer: 3, 11, 217619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -3. Let u = m + 4. What is the third derivative of -2*w**4 + 2*w**4 + u*w**2 - 2*w**4 wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(22)\/sqrt(2)*-6 + 5 + 1.\nAnswer: -6*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 714 = -216. Let b = 255 - u. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 1\/(4\/(-12)). Let k = z + 2. Suppose 4 + 4 = k*b + 2*c, 3 = 3*b + 3*c. Is -2\/5 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115520\/49 greater than 38\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1440) - 3*(sqrt(1440) - sqrt(1440)*1))\/((sqrt(2) - sqrt(2)*-2*6) + (1*sqrt(4))\/sqrt(2))*3)**2.\nAnswer: 1620\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d = 133498. Let f = d + 2803267\/42. Let g = f - -1\/462. What is the common denominator of g and 9\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 35\/21 + (-740)\/450. Put -4, n, 4 in decreasing order.\nAnswer: 4, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1204 and 91?\nAnswer: 15652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 6*f - 8. Suppose -21 - 9 = 5*u. Determine x(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -4856037.\nAnswer: -4856032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16197*x + 5225*x - 1152060 for x.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9136395 to the nearest integer?\nAnswer: 3023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36253689 = -5*a + 118764181. Let z be (36 + -15 + 6142)\/(0 + 2\/18596). Let n = z - a. What is n rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1125*h**5 - 1492575*h**4 - 480376295*h**3 + 9809537335*h**2 - 2590242400*h + 172113020 = 0.\nAnswer: -673, 2\/15, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 8 = -0*u. Let p be u\/(-10)*3\/(-4). Let a(g) = g**3 + 3*g**2 - 3*g. Let r be a(-4). What is the nearest to 2\/7 in r, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3 + 2*z**2 + 2*z + 2. Let g(k) = -12*k**3 - 9*k**2 - 9*k - 9. What is -2*g(r) - 9*i(r)?\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 244, 362, 478, 592, 704?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {g: 2, m: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -8913641\/2 and -4456822 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 8*j**3\/9 + 1978652*j**2\/9 + 2967964*j\/9 + 989320\/9 = 0.\nAnswer: -247330, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -6. Let b = v + 4. Let d = 4 - b. Solve -3*q - 3*o = -0 + 21, 4*o + 18 = -d*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/2550)\/((-6)\/(-10)*20\/(-90))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.804ng in milligrams?\nAnswer: 0.000205804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -83a5 - 2?\nAnswer: -83a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.017 - -0.017. Let t = -14.6433 + 14.4433. Which is the nearest to -1? (a) 5 (b) p (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5678066 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 - 26662027*r\/4 - 26662029\/2.\nAnswer: (r - 26662029)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 1 - 5. Let w = 63.9 - 64. What is the closest to 0.1 in h, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c + 2*c)*(-c**2 + 2*c**2 - 6*c**2) + (-3*c**2 - c**2 + 6*c**2)*(27*c - 22*c - 35*c).\nAnswer: -65*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-11361)\/(-541) + (231\/(-15) - 0)\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -230433 - 3?\nAnswer: -230441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 - 15*u + 6. Let x(r) = -4*r**2 + 14*r - 7. Determine -6*q(z) - 5*x(z).\nAnswer: 2*z**2 + 20*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -35. Let t(p) be the first derivative of -2*p**4 + p**3 - p**2\/2 + 3584. Let v(i) = -17*i**3 + 7*i**2 - 2*i. Calculate l*t(f) + 3*v(f).\nAnswer: 5*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -534 by 1263786.\nAnswer: -89\/210631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/13 - (55 - 2 - 37)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m - 180. Let o be v(-45). Sort 7, 5, o in increasing order.\nAnswer: o, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 6, p: 4}. Give prob of sequence pll.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 547430 divided by -5\nAnswer: -109486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 38. Suppose 11 = 2*z + 35. Let u be (20\/(-6))\/(8\/z). Sort l, u, 3 in decreasing order.\nAnswer: u, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 61 + -45 + (-55 - -42)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 780*a**3 + 3*a**2 - 5*a + 3. Let j(x) = 779*x**3 + 2*x**2 - 4*x + 2. Calculate -4*f(d) + 5*j(d).\nAnswer: 775*d**3 - 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1763578 millennia in decades?\nAnswer: 17.63578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57.5 - -57. Let b = 18.2 + -10.9. Let z = 7 - b. What is the closest to -1\/3 in z, i, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2245 - 2245 - 71*r**3 - 167*r**3 - 20*r**3.\nAnswer: -258*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 3. Let i = c + 6. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130258397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.015, -0.1, 0.03 in increasing order.\nAnswer: -10.015, -0.1, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 9. What is the second derivative of -3*c - u*c**5 - c**2 + c**2 wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t - 62. What is the remainder when 90 is divided by j(27)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32790543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11184023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q = -4*u - 20, 0 = -5*q - 10. Let w(t) = t**3 + 6*t**2 - 9*t + 5. Is w(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(117) - sqrt(117)*1) + sqrt(117))*-2)\/(6*(sqrt(1089) + 1*sqrt(1089) + sqrt(1089) - sqrt(1089)))*-6.\nAnswer: sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 8*a**3 - 15*a**2 + 3*a + 3. Is r(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from kdjpkj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*z - 351, 26*z - 21*z = 5*d - 345. Let g = 90 + z. Solve -g = 18*f - 23*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205025330 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 the units digit of 2204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + -5 + (-6 - -12). Let x be 0 + p + (-144)\/(-36). Solve -c + 2 + 1 = x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**2*n**(-6\/11)*(n*n\/((n*n*n\/(n*n**(-2\/5)*n)*n)\/n*n)*n)**(-34)*((n**(-1)*n)**(-2\/59))**10 assuming n is positive.\nAnswer: n**(-1042\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/2)\/((-18)\/30). Suppose 4*a = 4*w + 12, 3 = -4*w + l*a - 6. Let m be w\/27 + 40\/18. Solve -y - 2*y + 2*d = 19, m*y + 3*d = -4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5 - 3*p**4 + 4*p**2 = 0. Calculate p.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*c + c = 27, -4*c - 16 = 0. What are the prime factors of 3*x\/9*-3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 160*j**2 + 2 + 1.\nAnswer: 160*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**3\/2 - m**2\/2 - m. Let n = 15 + -11. Calculate the remainder when p(n) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:57 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.8 + 15.8. What is the fourth biggest value in c, -0.147, 0, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 4*b + 3. Let j = -13 + 19. Is 5 a factor of t(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002063806 to six decimal places.\nAnswer: -0.000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 17597*a + 0*a**2 + 17597*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235341693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 1, q: 1}. What is prob of picking 1 z and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in 0, -6, 81.04, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + -3*sqrt(1053) + 5 - (sqrt(1053) + -3*sqrt(1053) + sqrt(1053))*2)*3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q*q\/(q\/q**(2\/3))*q)\/q**(-4\/7))\/(q**6*q**(3\/7)) assuming q is positive.\nAnswer: q**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130.6 - 130.583032. Round s to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 4*s + 3. List the prime factors of h(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t**2 - 4*t + 1. Let a(x) = 18*x**2 + 8*x - 2. Calculate -4*a(c) - 9*p(c).\nAnswer: 9*c**2 + 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 8 = -0. Let o(q) = -2*q + 3*q**2 + 2 + 7*q - 2*q**2. Give o(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/7)\/(-5)*-1*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q. Suppose 4*u - 9 = 7*u. Let s be j(u). Suppose 0*g + s*g + 17700 = 0. Round g to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 13 = z - 43, 14 = o + 2*z. Suppose 5*t + 6*d = 3*d + 12459, 0 = 4*t - 5*d - 9945. Suppose s + o*s = t. List the prime factors of s.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 906, 908, 910?\n\"Answer: 2*c + 904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15, 65, 149, 267, 419, 605, 825?\n\"Answer: 17*a**2 - a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 4*f - 2*g, 295*f - 300*f + 4*g = -23 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16160588.\nAnswer: 2, 97, 41651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*d + 2*r + 4, 3*r = -4*d + 4. Let k(w) = -w**3 + 5*w**2 + 5*w + 8. Let u be k(6). Which is the nearest to 0.2? (a) d (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 1 - 1)*((-19895)\/368 + 54).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 10*s - 8. Let n be x(9). What is the highest common divisor of n and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262823, -262805, -262787, -262769, -262751?\nAnswer: -262733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 19. Suppose -2*s - 4*k + 126 = -162, -4*s + v*k = -543. Suppose 3*w = -g - 2*g + 402, w + 5*g = s. What is the remainder when w is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-20 + 1 - (-55 + 78))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -287559\nAnswer: 1725354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - 2*w + 5. Let z be k(0). Suppose -z*f + 8*f = -y + 243, y = 4*f + 250. What are the prime factors of y?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 - 13 - 4*w**2 + 2*w**2 + 3*w**2.\nAnswer: -4*w**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -181 + 208 - (0 - 4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*q - 2229194 - 1585462. Suppose 18*b - q = -30*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1956719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*s - 12, -19 = -0*x - 4*x - 3*s. Suppose 2*o + o + x*j = 28, 5*o - j = 16. Solve -n - o*n - 10 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 38*b**2 + 72*b + 1. Let w be f(36). What is the common denominator of ((-83)\/(-390))\/(w\/20*8) and 125\/6?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1190 + 65 = 5*s. Suppose 105 = 4*y - s. What is the units digit of y\/3 + (-14)\/(-42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 645 + -154. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 2*h. Let v(c) = 227*c**2 - 12*c. Let z(o) = -6*d(o) + v(o). Let r(j) = -j. Calculate z(r(g)).\nAnswer: 221*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 91*v**2 - 11*v + 2*v + 7*v.\nAnswer: -91*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2) + (-727803)\/(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -0.02435125?\nAnswer: -0.37564875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - ((-17 - 1) + -6) - -41?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 7*c**2 - 5*c - 3. Let n be s(6). Suppose -n*g + 17 = 2, i - g = -3. Suppose -20 = 7*j - 2*j + i*p, 4*j - 2*p = 2. Is -3 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.2 * 603\nAnswer: -3738.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + l**2)*(-687*l**2 + 42*l**2 - 94*l**2).\nAnswer: -739*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -13*p**3 + 2*p**2 + 32*p + 76. Is y(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(19) - sqrt(19)) + sqrt(152)\/(2*sqrt(8)).\nAnswer: -11*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1331566.\nAnswer: 2, 665783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -3*a + 6, 2*a = -5 + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 + -128. What is the second derivative of -5*z + 3*z + 45*z**2 + 0*z + 28*z**n + 36 wrt z?\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-3192)\/(-285)*-10*(-8)\/(-96)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -240 - -237.86. Let k = p + 2.24. Let d be (-1)\/(-4) - 26\/40. Which is the third smallest value? (a) d (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*m + 7, -4*u + 4*m = 3*m + 19. Let f = 2.4 + 244.6. Let l = f - 251. What is the nearest to -0.06 in -2\/21, l, u?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8*s + 22. Let c(y) = y. What is c(r(v))?\nAnswer: 8*v + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2416 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009121934 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**4\/2 + 10*v**3\/3 + 6*v**2 + 35. Determine x, given that j(x) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213122203 (base 5) to base 2\nAnswer: 11011110011001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269, -461, -565, -581, -509?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 11:06 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/97, 3, 556, -5, -0.2?\nAnswer: 556","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 384131328 divided by -112\nAnswer: -3429744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 37 = -c + 4*v, -c - 3 = 2*v for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 2*q + 1. Let y be h(-2). Suppose y*w = w + 2*u - 14, -4*u = -2*w - 22. Is ((-27)\/(-6) + w)*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/63)\/((2*-1)\/(-2)). Let g = 151 - 106. Let r = 44 - g. Which is the third biggest value? (a) r (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 times 0.16?\nAnswer: -5.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*h = -107*h - 2*i + 8, 0 = h - 2*i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + 0 + 3 + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263171584?\nAnswer: 2, 13, 19, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, -2, -2\/19, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 11) to base 9\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -5. Let w = j - -9. Does 7 divide (3\/2)\/(1\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12345603?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76758726353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4431 (base 8) to base 9\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 215536889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-21)\/4))\/6\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*k = -6*k - 584, 15 = 3*k. What is the lowest common multiple of 243 and n?\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 7*i + 8. Let f be g(-6). Suppose -26 = -j + 5*q, q + f*q = 2*j - 17. Does 4 divide (-882)\/(-72) - (j - (-3)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-10)*5050\/(-3030).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4*n + n - 22, -15 = -12*n + 9*n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0207 + 17.0207. Which is the third biggest value? (a) 2\/7 (b) 0.4 (c) 2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4*a + 2*a - 43, -2*a + 6 = 2*q. Suppose q*v = v + 24. Solve 4*c = 5*c - v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 21201110212210010?\nAnswer: -21201110212202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017273 rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133075506 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*g - 2*g. Let u be 1\/(-12) - (-18)\/54. Sort u, g, 2\/3 in increasing order.\nAnswer: u, 2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 11*g + 5. Determine z(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 7:53 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 76254.791 and -0.7.\nAnswer: -53378.3537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 + 409*d**2 + 543*d**2 - 1.\nAnswer: 952*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/6)\/(5\/120). Suppose -x = -6*j + j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 187524, 750131, 1687810, 3000561, 4688384?\n\"Answer: 187536*c**2 - c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 124, -3, -1, -22, -11 in increasing order.\nAnswer: -22, -11, -4, -3, -1, 4, 124","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 3785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1550 divide 108636710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {a: 1, w: 1, g: 3, d: 4, h: 1, b: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 777, 1555, 2333, 3111, 3889, 4667?\n\"Answer: 778*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 0*p**3 + 0*p**2 + 0*p + 1\/14*p**4 + 1 - 2\/35*p**5. Find j, given that n(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-10)*-53*-5. Let i = -30 + b. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -76\/5, -0.03114, 0.5 in increasing order.\nAnswer: -76\/5, -0.03114, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 744*v**2 - 407*v**2 + 4*v - 303*v**2.\nAnswer: 34*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 + 49. Let l = -186 + i. Solve d - 2*a + 6 = 4, -5*d - l = 3*a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1180508.25 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7585814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c + 2843 = 2303 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 8204?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = h + 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -980.287 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -9. Let o be (-5)\/(k\/4*-2). Let v(y) = -y**2 + 8*y - 7. Let p be v(2). Calculate the highest common factor of o and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 796029 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309984450.\nAnswer: 2, 3, 5, 2066563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 723250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 6354.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3329 - 3327. Let m be 4\/(-6) + (-7)\/(-2). Is m less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 4*t + 3. Let d(a) = 4*a**2 + 20*a + 193. What is d(o) + 5*z(o)?\nAnswer: -o**2 + 208","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/5*u**2 - 1\/5*u**3 + 2\/5 - u = 0. Calculate u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 9*g + 5542. Determine l(70).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4543241 is divided by 113580?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 9 = -14*s. Suppose -13672 = -5*y - t + 36493, 3*y - 30099 = -s*t. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) - (224485\/20)\/(-17). Suppose 19*d - f = 7*d. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (936\/(-1638))\/(20\/(-735))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 - 10114*g - 40452.\nAnswer: -(g + 4)*(g + 40452)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*w - 168*w + 333 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -10*i**5 + 36*i**4 - 8*i**3 - 36*i**2 + 18*i = 0?\nAnswer: -1, 0, 3\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-one halves of a millimeter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30438, -121841, -274208, -487563, -761930, -1097333, -1493796, -1951343?\n\"Answer: -4*m**3 - 30458*m**2 - m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15293599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23388125 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1349, 1112, 719, 170, -535, -1396, -2413?\nAnswer: -3586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -29. Let l be 13 + -9 + (-192)\/4. Let i = q - l. What is the least common multiple of i and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 2:33 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 3:00 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -23*u**2\/9 - 446*u\/9 - 665\/3 = 0.\nAnswer: -285\/23, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**8\/1008 - q**7\/210 + q**6\/120 - q**5\/180 + 8*q**2. Find w such that r(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 30 = -5*i, 0*t + 4*i - 2 = 2*t. Suppose 3*c + 33 = -2*o + t*o, 0 = 2*o + 4*c - 22. Calculate the remainder when 30 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/(-2))\/7 + 9\/6. Calculate the common denominator of q\/3 - 3850\/264 and -31\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1)*(y**2 - 3*y**2 + y**2)*(2834*y + 3 + 1882*y - 3) as t*y**2 + u + s*y + h*y**3 and give h.\nAnswer: 4716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13290081.\nAnswer: 3, 7, 131, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 158670 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 6, -2, -222, -4 in increasing order.\nAnswer: -222, -9, -4, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/13, 1, -0.443 in decreasing order.\nAnswer: 1, 4\/13, -0.443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 297964328 to the nearest integer?\nAnswer: 17262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*h - 33532 - 2141 = 0 for h.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -j + 7, -j - 3*s - 1 + 10 = 0. Solve 2*t + 6 = 0, -2*l - 11 = -0*l + j*t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 48\/(-10)*2 + 123\/205.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61703219437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -149 - -151. Let p = 1 + -1. What is the closest to p in -4\/5, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3671 = -31*n + 10243. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2619 is divided by 805.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211 + 59. Round g to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*m**2 - 27*m**3 + 6*m**2 - 62*m - 496*m - 16*m**2 - 29*m**3 wrt m.\nAnswer: -336*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/((12240\/35700)\/(18\/(-21))).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1137*g + 2. Let d(u) = -2275*u + 5. Let y(i) = 6*d(i) - 13*k(i). Is y(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -2*o**5\/15 - o**2. Let v(w) = -w. What is s(v(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -381921\nAnswer: 763842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(0*l**2 + 2*l**2 + 0*l**2)*(-20 + 20 + 10*l**2).\nAnswer: -60*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39317 + -39312. What is the closest to 2\/5 in -0.5, m, 2, -1.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -434 divided by 284?\nAnswer: -217\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*b - 311701 + 312211 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104381 divided by -141?\nAnswer: -104381\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)*b*b\/(b**(-5)\/b)*b)**26*(b\/(b\/(b*b**0*b*b)))**(-9\/8)*(b\/b**(2\/21))\/b**(-1\/8) assuming b is positive.\nAnswer: b**(6355\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97933, 97934, 97935, 97936?\nAnswer: 97937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*f**4 + 37*f**2*h + 291*h wrt f.\nAnswer: -24*f**3 + 74*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 4 - q - 2 + 3.\nAnswer: -q + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -63*h + 123. Calculate n(4).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 13978 (b) -0.3 (c) -46 (d) -2\/13 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajudjdjajudy. Give prob of sequence yu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 131 = -c - 115, 3 = -2*c + u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1978047 and 172935?\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*j = -6, 4*j = 2*t + 3*j + 3. Suppose 3*h = -t*h + 45. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59338206 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 287 divided by 19960\nAnswer: 287\/19960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5949 and 15864.\nAnswer: 47592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.12518 from -0.08.\nAnswer: -6.20518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 3.7. Let a = 3 + d. What is the third biggest value in a, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**4 + 10859*d**3 + 17381 wrt d.\nAnswer: 4*d**3 + 32577*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*i = -468 + 693 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 219 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -694, -1389, -2084?\n\"Answer: -695*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68719 + -68716. Let v(o) be the second derivative of -1\/2*o**2 + 0 - 5\/6*o**3 + o + 1\/12*o**4. Determine v(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 15629.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*j + 1267598 = -1357306, 2*w + 6*j = 2624884. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4760 or -0.059?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from ssssssoousssssszg.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - (3*sqrt(250)\/sqrt(5) + sqrt(50)))\/(-2*sqrt(1000)) - (2 + sqrt(20)*3)*-5.\nAnswer: 10 + 603*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 527922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scb when three letters picked without replacement from rfcffcosfssboobcs?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = c - 15, -4*c - x = -2*x + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1181052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*l + 17. Let d be (-3)\/(-2)*l\/(-6). Calculate the highest common factor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -121 + 221 + 73*l**2 + 162*l**2 wrt l?\nAnswer: 470*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/567314 and -49\/12893500?\nAnswer: 141828500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*n + 0*n**2 - 38*n - 4*n**2 + 0*n**2 wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 258579?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(-4*s + 2*s - 2*s)*(1 - 3 + 0).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11192830 divided by -97.\nAnswer: 115390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -13 + 13 - 4*f**2 + 0. Let v(h) = -46*h**2 - h. What is v(c(z))?\nAnswer: -736*z**4 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 17*g - 15. Let u be k(-5). What is the greatest common divisor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 0, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 58*q**2 + 84*q**2 - 38*q**2.\nAnswer: -12*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 12*u - 13*u + 4, -3*o + 12 = 3*u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-3\/2)\/c*c)*c**(-6))\/((c\/(c*c*c*c*c*(c*c**2*c*c*c*c)\/c*c))\/c**(-4)) assuming c is positive.\nAnswer: c**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8))\/(21\/14)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 less than 0.036?\nAnswer: -0.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.426 - 16.674. Let y = 17 + g. Let x = 0.2 + -3.2. Put x, y, -1 in decreasing order.\nAnswer: y, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, b: 3}. What is prob of sequence bp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-72)*((-125685)\/114)\/(-245)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/195 or -1?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164 and 410?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3209 + 3528. Solve 0 = -9*t + 292 - u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*2*2\/(-12). What is the common denominator of 65\/16 and 309\/18 + -3 + t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, h: 1, j: 3, r: 1}. What is prob of picking 1 r and 1 h?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/27)*y**(2\/7))**27*(y**(-1))**(-2\/111)*(y**(-1\/2))**(-7\/6) assuming y is positive.\nAnswer: y**(10687\/1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 4*h + 27910 - 4*h - 27910 + 3*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**2 + 37*m - 36 = 0?\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-5 + 5 + (2 - 15 - -5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1404 (base 7) to base 6\nAnswer: -2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/85 (b) -15 (c) -0.5 (d) 17\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2. Let h(c) = 2*c**2 - 9716*c + 156. Determine h(w(s)).\nAnswer: 18*s**4 + 29148*s**2 + 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/33)*j**(-27\/5)\/j*(j**34*j)\/(((j*j*(j\/(j*j**(-5)))\/j*j)\/j*j)\/j) assuming j is positive.\nAnswer: j**(3739\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34950094919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-6*-4*(1 + (sqrt(98)*3 - sqrt(98)) + -5 + (sqrt(98) - (sqrt(98) + -4))) + 2))**2.\nAnswer: 12096*sqrt(2) + 2032164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(114)*3 - sqrt(114) - sqrt(114))*-6*-5)\/((sqrt(150) + (-1*(sqrt(150) + -5*sqrt(150)) - sqrt(150)) + sqrt(150) - sqrt(150))*-6).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrrl when four letters picked without replacement from rlrlrrrrrrrrr.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/6 and 73\/12364?\nAnswer: 37092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16118a (base 14) to base 16.\nAnswer: -bc536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2583530632?\nAnswer: 2, 521, 619849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4 + (-1188)\/120 + 11.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 + -146. Let k be (-250)\/p + (-4)\/(-18). Let -4*b - b**2 + 0*b + 3*b + k*b = 0. Calculate b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 10:53 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7862013941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 - -79. Which is greater: 2\/5 or k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 0.05 (c) 1.8 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -2*d**2 + 0 - 7\/6*d**4 + 0*d**3 - 5*d. Differentiate r(k) wrt k.\nAnswer: -28*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 2)*(-1679*h + 3471*h - 1595*h) + (-3 - 2 + 4)*(h + 3*h - 6*h))*(0 - 1 + 5) - 2*h - 3*h + 4*h.\nAnswer: 795*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 13*d**2 - 16*d - 33. What is the tens digit of y(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -307\/34 + 7943\/136. Let n = -49 + d. Let f be 1 + 2*(-1)\/5. Which is the closest to -1? (a) f (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -34*y + 9. Let v be a(-4). Let p = v - 97. Suppose 0 = -2*r - 0*g - g + p, -4*r + 3*g + 86 = 0. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 866 + 212 = 0. Let u = k - -102. Solve 3*c - u*f = 29, 4*c - 28 + 6 = 2*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/110 and -5 - 3642\/(-480) - (-8)\/(-4).\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*o + o + 9 = 0, -14 = 3*x - 5*o. Let k be 2*3\/((-6)\/5). Let v = x - k. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/13, 0.1, 0?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -5.34286.\nAnswer: -5.84286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50.9 - 51. Let a be (-6)\/3*(-2)\/(-26). What is the second smallest value in -1.9, a, 0.5, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-126)\/77 + 2)\/(2\/11). Let k(w) be the second derivative of 0*w**4 - 9\/20*w**5 + 0*w**3 - 7\/2*w**p + 0 - w. Differentiate k(t) with respect to t.\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*(sqrt(144) + sqrt(144)*-3))\/(sqrt(96)\/(sqrt(24)\/sqrt(2))).\nAnswer: -90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -77*i - 79*i - 84*i + 242*i. Let x(z) = -3 + 3 + 7*z. Calculate x(b(h)).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-134)\/26 - 70\/(-455)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23830727*a**2 + 56615*a + 223 wrt a?\nAnswer: -47661454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1872) + 0 - (1*sqrt(1872) + 5))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 70 = 17*t. Let s be (5\/(20\/t))\/((-5)\/(-1180)). Calculate the greatest common divisor of 59 and s.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*y + 281*y = 292*y + 71*y - 10557 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbnbbnbbbbbbbbbnbbn?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4801 + 4801.5. What is the fourth biggest value in 36, p, 5, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5593*n - 5592*n = 3*a, 0 = -5*n + 5*a - 20 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 6*n = -3*t + t + 26, 90*n - 87*n = 9 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 0*z**5 + 2*z**3 + 0*z**6 - 1\/21*z**7 + 3*z**2 + 0*z + 0*z**4 + 0. Differentiate y(u) with respect to u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1011 or -1030?\nAnswer: -1030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 255*s + 95. Let d(q) = -255*q - 77. Give 5*d(t) + 4*r(t).\nAnswer: -255*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from {p: 8, e: 5, h: 2}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -15. Solve 0 = 4*c + y*o, -5*c + 3 + 6 = -2*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 3*b + 4. Let m be p(4). Suppose -19 = -2*r - 3. Suppose 0 = s + 3*s - 8. Solve -r = 2*c - m*c - 2*a, -2*a = s*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 150275, -1.2, 0.008 in decreasing order.\nAnswer: 150275, 0.008, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 590 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 513 - 0?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -357\/22 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1197 and 33.\nAnswer: 13167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2467\/5740 + 1\/820. Let z = 5 - 6. Does n = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*m**4 - 6*m**4 - m**4 + (-3 + 3 - 2*m**4)*(3 + 2 - 3) to the form n + b*m**2 + o*m + s*m**3 + y*m**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 0.5, 0.1010769.\nAnswer: 0.1010769, 0.5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 8:20 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(30\/(-132))*-1 - ((1 - -5) + -15).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1)*k)**42*k**3\/k*k\/(k*k\/(k**(-1\/2)*k)))\/(((k*(k*(k**7*k)\/k)\/k*k)\/k**(1\/7))\/(k**(-6)\/(k*k**2\/k*k))) assuming k is positive.\nAnswer: k**(359\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 7*w - 81. Suppose 12*t = w*t - 2. Which is the smallest value? (a) t (b) -2\/3 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 5 + 5*g - 1 + 8 - 2. Let x be q(-5). Solve -3*u = -k - 6, 5*u - k = -2*k + x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -3, 1305, 3, 1, -33 in decreasing order.\nAnswer: 1305, 3, 1, -1, -3, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 10. Let p be ((-1)\/(-6))\/((-20)\/45). Sort i, -0.1, p in decreasing order.\nAnswer: i, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 13\/2 (c) -3\/5 (d) -1\/142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -21150000 to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34267 (base 9) to base 13.\nAnswer: a507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**7\/30 - 7*i**4\/24 - 13*i**2. What is the second derivative of y(r) wrt r?\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -817*s**4\/12 + 217*s**2 - 381*s + 2. Differentiate o(t) wrt t.\nAnswer: -1634*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*o - 1)*(1 + 14 + 12) + 49 + 8*o - 49 - 2*o + 2 - 1 + o to the form r + c*o and give c.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 - 27 = -25*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 1)*(-1 + 0 + 0) + 4 - 5 + 0)*(0*v**3 + 3*v**3 - 2*v**3).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2\/2 + 1089177*r\/2 - 544587 = 0. Calculate r.\nAnswer: 1, 363058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2329 is divided by 329.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3810000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 20*d - 8*d - 23*d + 66*d = 13*d - 18, 3*q = -6*d for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5*3 - (-164)\/(-5740)) + 5980\/(-4095)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 11*g + 16. Suppose -u = 2 - g. Let c(i) = 2*i**2 + 2. Let t be c(u). Is 11 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1622912 divided by 25358\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6176? (a) 3 (b) -2\/19 (c) -0.1 (d) -5 (e) -6 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1253*q + 620*q + 634*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/384 and 21\/321368?\nAnswer: 15425664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -157, -15\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196 divided by 49.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*t + 122, 0 = 3*f - 2*f - 5*t - 76. Suppose -8*l + f - 2 = 0. Suppose -5*p**5 - 4*p + l*p**3 + 3*p**5 + 0*p - 2*p**5 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -376277*k - 652946?\nAnswer: -376277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 73?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -177839218987244?\nAnswer: 177839218987244.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/5302 and (-23)\/3036*12*(-202)\/4?\nAnswer: 5302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 - 5*p**3 + 1 + 5*p + 2*p**2 - p**2 + 7*p**3 + 4*p**4 in the form l + t*p**4 + u*p + v*p**3 + x*p**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18411?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 241 + -237. Suppose -p*r = -5*t - 893, -t - 1111 = -3*r - 2*r. Does 37 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 20 + 2 + 24 + 5*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v. Let f(h) = 4*h. Let w(y) = -13*a(y) - 6*f(y). Let p(n) = -n**2 - 4*n**2 + 3*n**2. Calculate w(p(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-24)*(-1 - 1 - -5). Is 2\/1913 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k**2 - 50*k - 19. Let y be l(-8). What are the prime factors of (1\/(y\/(-6)))\/((-4)\/(-422))?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -5. Suppose 0 = -o*r - 0 - 8. Let m = -0.7 + 0.4. What is the third smallest value in 2, m, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -574625, -1149254, -1723885, -2298518, -2873153?\nAnswer: -3447790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2696624 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.42 - 4.8. Let q = h + -0.02. Let n = q + 0.5. Which is the closest to n? (a) -5 (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 73*b**2 - 6*b + 18. Let u be a(3). Let o = 497603\/4 + -125063. Let z = o + u. What is the common denominator of z and -33\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 1. Let n be 4\/(2\/(-4)*-4). Let b be (n\/1)\/2 + -2. Let r(z) = -3*z - 4. Determine b*r(q) + 4*g(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-1)*z*z)\/z)**(4\/3))**(-4) assuming z is positive.\nAnswer: z**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65 or 2\/241751?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f5 + 16?\nAnswer: 20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from aararmaadma.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131 - -307. Suppose -g = -p - 17. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 19. What is the remainder when 9 is divided by l(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 7 = -3*j - 2, j = -5*x + 35 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/3)\/t*t*((t*t**(-1)*t)\/t*t)\/t*t**(2\/3)*t*t\/(t*t**(-3)) assuming t is positive.\nAnswer: t**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6163762 litres?\nAnswer: 616.3762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 1. Let u(p) = -5*p**2 - 3*p + 8. Let l(f) = -2*f**2 - f + 3. Let c(r) = 8*l(r) - 3*u(r). Calculate c(a) + n(a).\nAnswer: -a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l - 72 = 0. Let x be (-4)\/24 + (-57)\/l. Suppose x*i - 92 = i. Calculate the remainder when i is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/4 - 9*c**3\/2 + 31*c**2\/4 + 9*c\/2 - 8 = 0 for c.\nAnswer: -1, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 plus 2833217757?\nAnswer: 2833217944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(156)\/(sqrt(24)\/(sqrt(14)\/sqrt(7))))**2 - (sqrt(143)\/(sqrt(121)\/sqrt(539)) + 2))*3.\nAnswer: -21*sqrt(13) + 969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*i = 93*i. Let d(y) = y - 2. Determine d(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 7:49 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336873.\nAnswer: 3, 112291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10465 is divided by 1743.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(((-1998)\/72)\/37)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggw when three letters picked without replacement from wfffmgmafgg.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 209, 214, 219, 224, 229?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/3819 - -150212\/3819. Let x be 62\/(-10) + (-2)\/(-10) - -45. Let y = x - o. Which is the second smallest value? (a) -5 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (20 - 10) + -16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f**2 + f + 2. Let n be j(-1). Let z be (1 + -3)*(-17 - n). Let v be ((-30)\/2)\/((-4)\/((-9856)\/z)). Round v to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 6 = -4*k. Suppose 0 = -4*c - 2*q + k, -3*q - 6 - 11 = -4*c. Suppose 4*w + 0*w - c*r - 298 = 0, -w = 4*r - 61. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5653.52 + -5898.229. Let c = -0.291 + y. Let n = 245.00396 + c. Round n to 4 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453478 is divided by 35.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159\/1571, 0.4, 3, -6 in ascending order.\nAnswer: -6, -159\/1571, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -6, -9, -22, -51, -102?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/(i\/(i\/((i\/(i*i**(-2)))\/i))))**(4\/7)*(i**(-4)*i\/(i\/(i**1\/i)))\/(i*i**(1\/4))**(1\/6) assuming i is positive.\nAnswer: i**(-899\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4877, -9757, -14639, -19523, -24409?\n\"Answer: -r**2 - 4877*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2\/7 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s - 3*s - 4*s)*(1 + 0 - 2 - 2 - 1 + 1 + (0 + 1 - 3)*(5 - 3 - 3)) in the form z + c*s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7 - 18 + 2*u**3.\nAnswer: 2*u**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + -6. What is the common denominator of -9\/10 and (-2)\/(-10) + 267\/n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 220342*c**3*h**3 + 13696*c**3*h**2 - 6*h**2 wrt h?\nAnswer: 1322052*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16535646.\nAnswer: 2, 3, 918647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 16*a - 11. Let v(m) = 2*m**3 - 59*m**2 + 85*m - 12. Let c be v(28). Calculate k(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/2496 and -115\/244608?\nAnswer: 244608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*sqrt(1008) + -1 - (-3 + -1 + sqrt(1008))) + 1)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-10))\/((-3)\/15). Let c be g*(-1013)\/(-18) + -3. Let b = c - -116. Does -1 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/144 or 1?\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025832 divided by 6?\nAnswer: 170972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2. Let c(s) = 12. Let u(b) = 1658*b**2 + 36. Let n(z) = 3*c(z) - u(z). Determine t(n(a)).\nAnswer: -8246892*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-45)*9*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/12 - 2*1\/(-6). Suppose 0 = 5*r - 0*r - 25. Suppose r*c - 8 - 12 = m. Solve 10 = -c*a - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osbbtgbstt. What is prob of picking 1 t, 1 b, and 1 o?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 4*w + 1, -m - 1 = 6*w - 8*w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-2)\/l))**(12\/7)\/(l**(-1)*l**7\/l) assuming l is positive.\nAnswer: l**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1181, 2364, 3547?\n\"Answer: 1183*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16197995102 less than 0.64?\nAnswer: -16197995101.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 22*a - 1. Let r be d(-2). Let o be (1 + 2)\/(6\/128). Let s = o + r. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)*x)\/(x\/(x**(-3\/7)*x)*x)*x\/(x*x**(-5)*x)*x**(2\/19)*(x\/x**(-5\/3))\/x*x**(-5)*x**(-2)*x**(-5)\/x assuming x is positive.\nAnswer: x**(-6509\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 11. Let w be y(-9). Suppose 0 = b + w*b - 33. What is the highest common factor of b and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(891) + (sqrt(891) - (sqrt(891) + 2) - sqrt(891)) + sqrt(891))**2 + -1*(-2 + sqrt(891) + sqrt(891)) + 5.\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 + -1.1. Let k = 30 + -13. Let w = k - 21. Which is the smallest value? (a) f (b) -1\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 11*i**2 + 9*i - 3. Give u(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.1 - -3.2. Let c = g + -0.1. Let s be 4\/(-10) - (-6)\/(-10). Is c != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 4*c + 4*c)*(0 - 9 - 1)*(43 + 39 - 4).\nAnswer: 780*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 + 1)*(-10)\/80*-18. Suppose -f*z + 6*z = -105. Let n be 4\/((-32)\/(-9)) + -1. Which is the closest to n? (a) 4 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, f: 7, e: 4}. Give prob of sequence cf.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 2 (c) 24 (d) -0.02 (e) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 41072*j**2 + 74718720*j - 37828684800.\nAnswer: 4*(j - 8108)*(j - 1080)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6172136, -4 in descending order.\nAnswer: 6172136, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 96, 114?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11757768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6086 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/18*-3*(-18)\/(-12). Solve -r*i + 18 - 22 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least 1643\/323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*b + 15 = 3, -5*f - b = -9. Solve -t = -2*s - 2, -4 = 2*s + 3*t - f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -8. Suppose 2*t - 159 = -h, -3*t - n*h - 3*h = -235. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-6) - 2)*6. Suppose 5*r - w*z - 114 = 0, -4*z - 26 = -4*r + 3*r. Suppose 5*g - 13 = r. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1625 + 1946 + 947 = -502*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-3))\/((-2)\/(-6)). Let c(t) = -3*t - 3. What is the remainder when 34 is divided by c(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*m**3 + 2 - 2 - 404*m**3 - 175*m**3.\nAnswer: -798*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10770.6 and -0.0065?\nAnswer: -70.0089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((45 + 1)\/2)\/((-182)\/273*18\/24)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.201 - -0.201. What is the closest to 0.1 in -0.3, -21, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbb. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*w - 2. Suppose 0*f + 3*f = w. Suppose 5*k - 2*g = 2*g + 39, f = -5*g + 20. What is the remainder when k is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*y + 4*y = -7, -j = -3*y - 17. Let r = -2 + j. Suppose -2*l - l + 72 = r. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from {j: 1, d: 2, e: 2, o: 1, l: 1, w: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38099 and 992.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 22. Let l(v) be the first derivative of v**3\/3 + 5*v**2\/2 - 3*v - 2. What is the tens digit of l(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2923574289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54520 - 54525 - 307*g**3 + 109045 + 310*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7716 + -7714. Sort x, -267, 0.1, 5.\nAnswer: -267, 0.1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, v: 5, h: 1}. What is prob of sequence vh?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*b**2 + 105*b**2 - 62*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 2*h**2 + 18*h + 14. Is i(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206635043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 3*m = 3*w + 56, -2*w - 4*m + 14 = 0. Let h(x) = -w*x + 5*x + 9*x. Let i(s) = s**2. Give h(i(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/165303?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.088 (b) 0.296 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5\/2, 2\/7, 0.5 in decreasing order.\nAnswer: 5\/2, 2, 0.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 - 23?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -145.59 - -145. Let j = l + -25.41. Let g = -26.00011 - j. Round g to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -48, -21, 16, 69, 144, 247, 384?\n\"Answer: q**3 - q**2 + 23*q - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69167, -69168, -69167, -69164, -69159, -69152, -69143?\nAnswer: -69132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 - o**2 + 114 - 2*o**2.\nAnswer: -3*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 + 1. Let q be p(1). Let x be (-7)\/3 - (-5)\/15. Is x\/q*77*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4641 and 20347572?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 - -1518016?\nAnswer: 1518017.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**2\/z*z*z\/z**5*(z\/z**3)\/(z*z\/(z*z*z\/(z**2*z))*z) assuming z is positive.\nAnswer: z**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 + 2351.\nAnswer: 2337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23888 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 1\/3*x**3 + 0*x - 27*x**2 + 9\/8*x**4 + 0. Differentiate j(k) with respect to k.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37, -591, -1639, -3107, -4995?\n\"Answer: -210*m**2 + 2*m + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10407677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 - 21*a - 42. Let g be l(-8). Let h be g*(7 - (-9 + 22)). Solve -6*y - h = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - w + 3. Let f(o) = o**3 + o - 2. Let y be f(0). What is the units digit of w\/y + (-30)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 412275920 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**6\/120 + 11*l**5\/60 - 5*l**4\/24 + l**3\/6 - 7*l**2 + 3*l. Is 13 a factor of y(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {k: 6, s: 9, o: 2}.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 2*v + 203*v**3 + 210*v**3 - 402*v**3.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1581848*p**2 - 1581848*p**2 + 24*p**3.\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119 - 107. Suppose 2*g + 20 = p*g. Suppose 0 = -g*x + 24 + 44. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 104610?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (624\/(-64))\/(3\/8). Let h = -26 - o. Suppose h = 5*f + 5*k - 1590, k = -3*f - k + 957. What is f rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 3*z - 4*y, 37*z - 40*z - 2*y = -4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 240497295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21870 - -21870. Solve 35*c + 130 - 410 = l for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*m + 5 = 0, 5*f - m - 2 = 2*m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -132053 divided by 132053\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 147730888 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 131, 76, 21, -34, -89?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160403915?\nAnswer: 5, 7, 139, 32971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5532656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/5)\/(1157\/1157).\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -126367.5 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 2 + 0\/3. Suppose b = -2*v - 0*v + 4*t + 34, 2*t - 21 = -v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -513 + 402. What is the common denominator of m\/((-49)\/(-14)*(-80)\/28) and 99\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 6077731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 24576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 10:34 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 2 + (9 - 19)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 79 - 140)*(8*d**3 + 0*d**3 - 2*d**3).\nAnswer: -1038*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b06d - 21?\nAnswer: -1b08e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -132, -203, -278, -357, -440?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-497 - 356 + 146)*(-u - 3 - 5 + 9)*(-1 + 3*u + 2 - u) to w*u + p*u**2 + y and give y.\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*24\/294*((-525)\/(-360))\/(55\/(-44)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-8 - 28) - 18) + 5 + -36 + 2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4728481547.\nAnswer: 4728481547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g + 2. Let d be f(-1). Let l = 142 - 142. Let k = 71 + -51. Solve d = -l*i - 5*i + k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2\/4*1016\/381.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10717 is divided by 1530?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -5.1. Let n = 0.4 + -0.4. Let s = n - -1. Which is the nearest to s? (a) -4 (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -772*-1.\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8026 + 12628. Let o = c + -13411. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 84 and -3790.\nAnswer: -3706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 9. Let z be x(0). Let u be (-15)\/(-2)*48\/z. Let r = 63 + u. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 28 = -5*x, 2 = -4*p - 3*x + 6. Let y be ((-2)\/(-4))\/((-1)\/(-2)). Let w(t) = -3 + 4 + y - 2*t. Calculate w(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 15*u**2 - 18*u - 16. Let q be f(-16). Let z = q - -19. Let v = -34 + z. Is v bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 10*c + 51608. Suppose 5*p - 30866 = c. Suppose 3*d + p = 9*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 11*i + 11. Give q(12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 116.34 * -2\nAnswer: -232.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*f + 2*n - 308, -401 = -4*f + 3*n. Suppose -14*z - f + 45 = 0. Which is the second biggest value? (a) -3\/4 (b) -3 (c) 3\/8 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -3*a**5\/20 + 4*a**4 + 1368*a**3 - 108864*a**2 + 4084*a + 2. Find v, given that j(v) = 0.\nAnswer: -56, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 5*f**2 - 3*f + 14. Calculate z(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8*y + 15 = 0, 2*y - 131 = 5*b. Let i = -20 - b. Suppose i*v + 85 = r - 39, 5*r + 5*v = 530. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c + 7136 = -8*c. Let s = 450 - c. Put s, 28, -4 in decreasing order.\nAnswer: 28, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 9:20 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/27 and -29\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 0*h**2 - 1\/189*h**7 + 0*h**3 + 1\/90*h**5 + 0 - 1\/135*h**6 + 29*h + 1\/54*h**4. Factor r(y).\nAnswer: -2*y**2*(y - 1)*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 5, 32, 81, 158, 269, 420?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 10*q - 18. What is the third derivative of 27*x**q - 42*x**2 - 85*x**6 - 28*x**2 wrt x?\nAnswer: -10200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -39. Let q = r + 10. Suppose -q*w = -8*w + 291000. Round w to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-95)\/3990)\/(76\/(-399)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75306120 divided by 76.\nAnswer: 990870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(475) + 0)*6 + 2 + 5.\nAnswer: 97 + 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 17*t - 10. Let r be s(16). Suppose j - 3 + 0 = 4*k, -j + r = -k. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8 = 0, -592*b = -591*b - 4*i - 56741. What is the thousands digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72499697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -135638, -271272, -406904, -542534, -678162?\n\"Answer: h**2 - 135637*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.45866kg in grams?\nAnswer: 10458.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 5:20 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*s - 104. Suppose 9*p = 14*p - s. What is the lowest common multiple of p and ((-1)\/(-2))\/(648\/128 + -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4623?\nAnswer: 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -82? (a) 5 (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or 4\/707955?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -364*r - 1456. Let h be y(-4). Which is the smallest value? (a) 6 (b) 74 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(38) - sqrt(76)\/sqrt(2)))\/(sqrt(24)\/(sqrt(12) - sqrt(108))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v - 8 = -78. Suppose 2 = -t + 6. Sort t, -2, 1, v in decreasing order.\nAnswer: v, t, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 2*c + 2*z, 0 = -3*c - 3*z + 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 151854 and -2?\nAnswer: 151856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 34296592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 127.3 - 127.4. Let f be 5\/2*-2*-1. Is w at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000084885146 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 10515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 17*x**2 - 20*x - 10. Let q be w(-18). Suppose -3*k - g = -38, -5*g - 4 = k - q. Calculate the remainder when 35 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.3, -2\/5, 21, -8, 6\/29?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - (9\/3)\/3. Let i(u) = 10*u - 3*u + 2*u - 6*u - 2*u - 1. Let o(k) = -5*k**2 + 5*k - 5. Give d*i(t) + o(t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53783363 to the power of 1\/3, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3642442241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3 - 484*i + 0 - 17 + 33. Is t(-32) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 4*s + 20. Suppose 2*h - 9 = 3*h + 3*d, -3*h - d - 19 = 0. Let t be (-10)\/(-1)*h\/(-4). Solve -s*m = -3*m - 5*z + 13, -3*m = 4*z - t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -55 + 35 + 20 + m**2. Let s(n) be the first derivative of n**5\/20 - n**2\/2 - 1. Let q(g) be the second derivative of s(g). Calculate q(x(i)).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 23. Calculate the smallest common multiple of z and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i - 34 - 38 + 105 - 3*i**2 + i**2 - 32. Let u(f) be the first derivative of -2*f**3\/3 + 5*f**2\/2 + 2*f + 1. Determine -4*g(a) + 3*u(a).\nAnswer: 2*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**5 - 37*u**4 + 45*u**3 + 187*u**2 + 71*u - 30 = 0. Calculate u.\nAnswer: -1, 1\/4, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 4 = 12*o. Suppose -3*w + 5 = -2*s, -o*s = -3*w - 7 + 2. What is the second derivative of 0*d**5 - 5*d**2 - s*d + 5*d**2 + 7*d**5 wrt d?\nAnswer: 140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6181.911ng to grams.\nAnswer: 0.000006181911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14137\/11 - 1285. Factor 0 + 0*c + b*c**2.\nAnswer: 2*c**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130.8 + -131.2. Which is the fourth biggest value? (a) 2 (b) 0.441 (c) 2\/15 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(18) + -3)**2.\nAnswer: -6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 17*x**2 - 14*x - 18. Let b be n(14). Let t = 544 - b. Is t a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36*g*s + 11*g - 142*s - 5 wrt g.\nAnswer: 36*s + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -7. Suppose -3*p = 3*c + 5 + 19, -x*c - 36 = 3*p. Let y(g) = -4*g**2 + 15*g + 8. Let d(t) = t**2 - t. Let n(o) = 5*d(o) + y(o). Determine n(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115\/87 - 10\/29. Put p, 1\/4, -2 in descending order.\nAnswer: 1\/4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1433 + -4298\/3. Which is the closest to 3\/4? (a) m (b) 3 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65485646459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 114, 2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15680, 2\/59, -1\/6, 2\/13?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.694 to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 71\/2*x**2 - 165*x - 1\/2*x**3 + 0 = 0.\nAnswer: 0, 5, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-42))\/(1\/78*36\/(-9))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -187 divided by 1\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 1524 = -1518 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 0*h + 4*h + (-4 + 1 + 4 + 4 - 1 - 2 + (5 - 2 - 2)*(1 + 1 - 1) + 0 - 1 + 0 - 1 + 0 - 1 + 14 - 17 - 15)*(h - 3*h + h).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 + 36*y**3 + 184*y**2 + 348*y + 198.\nAnswer: 2*(y + 1)*(y + 3)**2*(y + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*k**2 - 27 + 42 + 5 - 20.\nAnswer: -91*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tahm when four letters picked without replacement from {l: 2, h: 3, a: 8, m: 1, t: 2, i: 1}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/540 and -1\/123714.\nAnswer: 1237140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 i when three letters picked without replacement from irriirii?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - ((sqrt(187) - sqrt(187)*1)*5 + sqrt(187))) + 2*sqrt(187)*-2)\/(-3*(-6*sqrt(44)\/sqrt(4) - sqrt(33)\/(sqrt(6)\/sqrt(2)))).\nAnswer: -4*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*o, z = -o - 0*o + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95516 is divided by 163?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 3*u + 3. Suppose -4*a + 24 = 2*a. Let j(f) = 2 - 3 + 4*f - f**2 - 3. Let c(r) = a*s(r) + 3*j(r). Let i(p) = -5*p. Calculate c(i(o)).\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 450174007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, h: 8, r: 7}. Give prob of picking 1 h, 1 r, and 1 t.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 119*v. Let o(b) = -814982*b. Give o(a(w)).\nAnswer: -96982858*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -9*i**2 - 122619*i - 17510520 = 0.\nAnswer: -13480, -433\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -f. Suppose -24 = 2*a + k, -f*a + 44 = -16*a - 4*k. Are -10 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*o + 4*o + 69. Suppose 2*d + 0*d - 408 = o*f, 4*f = -2*d + 380. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - d - 39, -4*d - 4 = -2*n - 10. Let w be (0 - 3)*(-14)\/3. Let b = w + n. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-28*m - 6*m**2 + 12*m**2 - 4*m**2).\nAnswer: 2*m**2 - 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98445.\nAnswer: 3, 5, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21\/5 of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 360c2 - -23?\nAnswer: 360e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -3. What is the second smallest value in 2\/7, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20333 (base 5) in base 16?\nAnswer: 53f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14812 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27883907609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-288)\/4680)\/((-26)\/(-65))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2. Let t(x) = 7*x + 5. Let o(l) = -10*l + 3. Let b(w) = -19*w + 5. Let m(k) = -6*b(k) + 11*o(k). Let a(q) = -5*m(q) + 3*t(q). What is a(r(y))?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.003268 * 4.\nAnswer: -0.013072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33958349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 3*f - 17 = 4*f, 4*f = -5*k + 37 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - -21722?\nAnswer: 21731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-42)\/8 - 2\/(-8). Put -4, -0.3, y in increasing order.\nAnswer: y, -4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11503510 and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a micrometer in nanometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - -280911?\nAnswer: 280938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in -0.32, -5, -1.5, 0.2542?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11193\/(-8190) + 2\/(-12)*-1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (11 - 7) + (5 - 35)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7128 by 3564.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*k + 47 = -53 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**5\/20 + p**4\/4 + 7*p**3\/6 - 5*p**2\/2 - 2*p. Let b be (-5)\/2*(-1976)\/1235. Give h(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 6) + 0 + 26 - -5\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 5*v**2 - 53*v + 75. Determine p(4).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(49)\/sqrt(63) + (sqrt(252)*-2)**2 + -4.\nAnswer: sqrt(7)\/3 + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1667*h - 2798*h + 3966*h + 3984*h.\nAnswer: 6819*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16921363\/90 - -188017. What is the common denominator of 2403\/36*4\/(-18) and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536349*z**3 - 12 + 12 - 536256*z**3.\nAnswer: 93*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 5, d: 2, a: 1, j: 1, e: 3}. Give prob of sequence jec.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.3 - -11.3. Suppose -u = -0 + 1. Which is the second biggest value? (a) u (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3 = 3*y, 2*a + y = -2*y + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10189 divided by -1?\nAnswer: -10189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4376027?\nAnswer: 37, 101, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -543*s**3 - 2335*s**2\/2 - 2. Find the second derivative of z(t) wrt t.\nAnswer: -3258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 917038 and 986?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 210 - 207. Solve u*b + 2*b = 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 246*j. Let h(b) = -b**2 + 10*b + 32. Let d be h(13). Let y(w) = -w + 48. Let g(x) = -x + 56. Let p(r) = d*y(r) + 6*g(r). Give c(p(f)).\nAnswer: 246*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 15*d - 23. Suppose 3*k + 2*t + 7 = 4*k, k = -t + 16. Let w be q(k). Solve 0 = -u - 4, -2*c + w*u + 18 = -4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1708 + -341. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 172110*q**4 - 14363 with respect to q.\nAnswer: 688440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71656\/2756*(-474)\/156?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 14151*n**2 - 12*n + 36. Let l be x(5). Let o be 160*((-3)\/6 - l\/(-2)). Round o to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**5\/60 + 953*v**4\/36 + 113764*v**3\/9 + 113288*v**2\/3 - 4244*v. Suppose p(a) = 0. Calculate a.\nAnswer: -476, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -213, -442, -673, -906, -1141, -1378, -1617?\n\"Answer: -j**2 - 226*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 16*z + 64 = 0, 107*z + 20 = l + 102*z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 3*m + 12, 4*m + 20 = -f + 3*f. Let r(t) = -4*t + 7. Let o be r(f). Let v = o - -30. Calculate the remainder when 23 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2 + 2017*u - 1219448 = 0.\nAnswer: -2504, 487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**4\/12 + 13*c**3\/6 + c**2\/2 + 8*c. Let f be m(13). Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*i + 123*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide -282*(5*2\/50)\/((-4)\/130)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 15 = 0, 3*j = p + 5 + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -170, -221, -272, -323, -374, -425?\n\"Answer: -51*m - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -5)\/((-54)\/(-17 + -10)). Put 4\/7, 1, -274, p in ascending order.\nAnswer: -274, p, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3*r**3 - 54 - 3*r**3 + 48.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-4) - 1\/2. Let l be (-82)\/(-6) + (-4)\/6. Differentiate 0*o**i - l + o**2 + 10 with respect to o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, x: 6, h: 3, q: 1}. What is prob of sequence hx?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -106742\/13 - 742*g - 2\/13*g**3 - 250\/13*g**2.\nAnswer: -2*(g + 19)*(g + 53)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100574.1898048 - 0.7401952. Let o = -100502.92959 - r. Let n = 72 - o. Round n to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8\/7, 1\/239, -2, 2\/5.\nAnswer: -2, 1\/239, 2\/5, 8\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 777*q + 139096. What is j(-179)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - 471283.\nAnswer: -471299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*v - 350*v = 5, -3*v = -6*a + 165483. Is 35 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 11, -3661 in ascending order.\nAnswer: -3661, -11, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1246.4253 - -1247. Let p = o + -26.5847. Let k = p - -26. Put 1, k, -1 in decreasing order.\nAnswer: 1, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -1238.\nAnswer: -1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3049 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 248*l**2 - 30 - 246*l**2 + 16*l - 36 = 0.\nAnswer: -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 25 = -5*q, -1 + 16 = -4*u + 3*q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*a - 4*l, 4*a - 3*l + 14 = 26 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -478*z. Let m(u) = -5*u + 8. Let g(y) = -8*y + 12. Let f(o) = -2*g(o) + 3*m(o). What is n(f(a))?\nAnswer: -478*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g = 2*n + 32*g - 5140, -4*n + 10273 = 3*g. List the prime factors of n.\nAnswer: 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -17408471 less than -17408471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*l + 116, -4*i + 3 = 2*l + 113. Let o = -5 - i. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/4 - 2\/8. Suppose 0 = -5*m - 0*q - 4*q - 20, -m - 5*q = 4. Let z(p) = p**2 + 5*p + 4. Let s be z(m). Solve -10 = -2*n + 2*y, -n = y + u - s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 2. Calculate the remainder when x is divided by 4\/(((-4)\/2)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2*u - 672, -4*a = -0*a + 2*u - 894. What is the remainder when 29 is divided by a\/27 + (-4)\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108 - 41 - 29 - -1\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14589863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 9137*q**2\/2 - 8995*q + 6765. Find the first derivative of p(a) wrt a.\nAnswer: 9137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750347.8 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-2)*2\/3. Let n(z) = 2*z - 3 + 0 + s*z. Does 12 divide n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*(sqrt(88) + sqrt(88)*-1)\/sqrt(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -350\/33 and -34 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1765 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -50*p. Let z(o) = -173*o. Calculate g(z(q)).\nAnswer: 8650*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.5 (b) 75 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24456 - 24444. Sort -0.5, -4\/3, 9, f.\nAnswer: -4\/3, -0.5, 9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3542\/3 != -1181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptjpttptt. Give prob of sequence jpp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - 2) + 118304\/(-39435). Let h = x + -27517\/5258. Let l = 60385\/18 + -3356. What is the common denominator of h and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 12*d**2 - 10*d - 6. Let u(a) = -a - 4. Let c be u(-15). Let w be s(c). Solve -5*l - 9 = -r, 2*r - w*l - 11 = 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*w**4 + 3*w**3 - 46626*w**2 + 151312932.\nAnswer: 208*w**3 + 9*w**2 - 93252*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (245\/50 + -2 + -3)\/1\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 - 878*q + 27814. Give r(36).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 2*l + 21 = 0. Let h be ((-2)\/(-1))\/(l\/((-15)\/2)). Sort -3, 0, 2, h in ascending order.\nAnswer: h, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*a - 2 = 0, -5*a - 77 = 5*g - 27. Is ((-2)\/(-4))\/(g\/(-966)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 2*v - 3. Let o be y(4). Let g(w) = -2*w**3 + w**2 + w - 4. Let k be g(o). Is (1\/(-1))\/(16\/k) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1362900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 - -94 - (-1 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198\/(-44)*2\/(-12).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 - 60. Let y(o) = 5*o - 7 - m*o + 0 + 2. Calculate y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3769*s**2 - 2930*s**2 + 2815*s**2.\nAnswer: 3654*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 358031115 divided by 42699.\nAnswer: 8385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5996 - 5996 - 5*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**4 - 133407*y**3 + 5021*y**2 + 12.\nAnswer: 24*y - 800442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -162, -304, -496, -744, -1054, -1432, -1884?\nAnswer: -2416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5695, -5723, -5751, -5779, -5807?\n\"Answer: -28*c - 5667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-f + f + 3*f)*(1 - 2*f**3 - 1).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/20))\/(((f\/f**(1\/34))\/f)\/f) assuming f is positive.\nAnswer: f**(673\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/40*239 + 48 + -53 + 50 + -33.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -91.71.\nAnswer: 366.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 4. Suppose 0 = -r + 3 - t. Suppose -i = -r*i. Which is greater: 2\/13 or i?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 251, 464, 735, 1070?\nAnswer: 1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*z**2 + 7*z**2 + 28*z**2)*(-22*z + 16*z + 40*z).\nAnswer: 3026*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiqiifiiifiq?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*b = -6002 - 4002, 0 = 5*g + 2*b - 12477. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*s + 5, -p + 8*s + 13 = 13*s. Solve -4*f + 12 = 0, -h - p*f + 15 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 3*h**3 + h**3)*(0*h**2 - 4*h**2 + 2*h**2) + (-2 - 2 + 5)*(-h**5 + 3*h**5 + 0*h**5).\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 n when three letters picked without replacement from oonoqcoocon?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*y + 39*y - 173*y - 554*y**3 + 312*y.\nAnswer: -554*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 474\/(-474) + (-3 + 2 - (1 - 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -227, -458, -691, -926, -1163, -1402, -1643?\n\"Answer: -w**2 - 228*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 11\/6 (b) -1\/46 (c) -19\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-17 + 35 - 1 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**3*p**3 - 41*d**3*p**2 - d**3*p - 2366*d*p**3 - 22*d*p**2 - 2*p**2 wrt p?\nAnswer: 24*d**3 - 14196*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -10\/11, -0.23, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u. Let m(k) be the third derivative of -1\/6*k**3 + 1\/60*k**5 + 0 + 0*k + 0*k**4 - 2*k**2. Let c(b) be the first derivative of m(b). Give i(c(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-6)*3740\/385*21\/(-18).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25327438*r**4 - 22849898.\nAnswer: -101309752*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 29 = -2. Let q(y) = -2*y - 2. Let x(h) = -3*h - 4. Determine j*x(v) + 5*q(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 1 - 3. Solve d*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2511 - 2541. Is 76 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/10748157 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3522 + -3?\nAnswer: 3515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x. Let r(g) = g**2 + 11*g + 13. Let d be r(-10). Let k(f) be the second derivative of -8*f + 5*f**3 - f**3 - d*f**3. Give q(k(p)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9086972 less than -3.946?\nAnswer: 9086968.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1532\/379 = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmb when four letters picked without replacement from mmmmmmmmmmbmm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*r = 1013, 0*p + 517 = 2*p - 5*r. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 216 - 656 = 0. Let c = 23 + -15. Suppose -x = 3*u - c*u. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/13950 and -53\/6975.\nAnswer: 13950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5870)\/(-60)*-2*(-2)\/(-10) - 94\/(-705)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -50\/51?\nAnswer: -50\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 145358257692 + 4?\nAnswer: 145358257696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -85.8, -9\/5, 0.3, -13.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 - 66 - (-2 + 0)) + (34 - 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.034 in 0.2, 4, 8, 4\/7, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -g - 0. Let w = -31216 - -31215.5. What is the fourth smallest value in 3, 0.5, g, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 9*t - 7*t = 3681, -14721 = -4*i - 7*t. What is the remainder when i is divided by 160?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3840 and 35220?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 283, 43, -2, -56, 3?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8109?\nAnswer: 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 1167 and 1162 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/20 and -49\/782.\nAnswer: 7820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8853.06 + 8853. Which is the third biggest value? (a) u (b) -4 (c) 0.001 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5886499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*f)*(-5 + 0 + 1) + f + 3*f - 6*f + (-3 + 3 + 2)*(-f + 0 + 0) in the form d*f + r and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 161\/8. Suppose -5*x + 3*x - 2 = 0. Do r and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571996 + -9?\nAnswer: 1571987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 48*o - 279. Give j(44).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1659*p + 981 + 981 - 5202*p + 983 - 2944 to w*p + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -95, -88, -79, -68, -55?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 8:45 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 2:31 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*o + 297 = 0, 0 = 3*a + o - 3*o - 398. Suppose -q + 3*q + a = 0. Let y = -18 - q. What is the remainder when y is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 3*i - 2. Suppose -2*b - 17 = 5*a, a + 23 = 4*b + 2. What is the units digit of v(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**3\/2 + 9*o**2\/2 - 5*o. What are the prime factors of n(-7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 9. Let i = -2 + b. Put 4, -1, i in decreasing order.\nAnswer: 4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14707, -29404, -44101, -58798, -73495?\n\"Answer: -14697*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2)**(2\/75) assuming m is positive.\nAnswer: m**(4\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 + 65*p**2\/2 + 1407*p + 20286.\nAnswer: (p + 42)**2*(p + 46)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 736504 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Let g(b) = -11*b + 126 - 126. Determine g(n(m)).\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*a - 7. Let z be 4\/(-10) - (-54)\/10. Suppose -z*y = -4*r + 45, 0 = -y - 0*y - 1. Solve -5*x = -r*x - a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**2. Let f(t) = -5851*t**2 - 5860*t**2 + 11560*t**2. Determine f(m(q)).\nAnswer: -2416*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7946867ml in litres?\nAnswer: 0.0007946867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11313*w + 127251 + 47424 = 332*w for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3969225 a multiple of 1725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h - 7. Let f(p) = 4*p - 6. Let l(a) = -a**2 + 14*a - 7. Let z be l(13). What is z*f(n) - 5*j(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/8, 1\/4, 4, -2 in decreasing order.\nAnswer: 4, 15\/8, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6 - (-7 + 11 + -65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*w = 3, -3*w = 66*g - 65*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -181.1.\nAnswer: -180.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 3*m + 5. Let s(l) = l**2 + 3*l + 6. Let k(q) = 4*g(q) - 3*s(q). Give k(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*k - 94 - 115. Calculate the highest common factor of k and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 8*r + 19. Let s be i(7). Calculate the highest common factor of s and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 3*b**2 - b + 24. What is m(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -96152, -192329, -288508, -384689, -480872?\n\"Answer: -a**2 - 96174*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 3*k**3 + 2*k**3 + 24279*k**2 - 12379*k**2 - 11900*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.250478 centimeters?\nAnswer: 0.00000250478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4530)\/(-21) - (-2)\/7. Suppose -3*b = -4*i + 216, -4*i = 3*b + i + x. Let y = b - -109. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**2 - 5*n. Let u(q) = 3*q**2 - 2*q. Let a(j) = 6*o(j) - 15*u(j). Let s(f) = -2*f. Let p(z) = 4*z. Let i(w) = -4*p(w) - 7*s(w). Give i(a(b)).\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 - -130043?\nAnswer: 130075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 185426374 divided by -329?\nAnswer: -563606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 2 - 3)*(-176*w + 73*w - 483*w) + (w + 1 - 1)*(-3 + 0 + 2) + 2*w + 2*w - 2*w in the form o + y*w and give y.\nAnswer: 7619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-424)\/20*-655 + -13 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 8:35 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16401 - 16378. Which is the fifth smallest value? (a) -2 (b) -3 (c) s (d) 2\/3 (e) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/325 + -7178\/2275. What is the common denominator of w and (-24660)\/3490 - (5 - (17 - 5))?\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n + n - n + (-4 - 1 + 0)*(2*n - 2*n + 2*n))*(-5 + 5 + n) to k*n + z*n**2 + g and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 0 = -6*d. Suppose 0 = 9*o - d*o. Let b(m) = m**2 + 3*m + 4. Let w be b(-3). Solve o = -w*t - 1 + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/29 and 13\/3?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ioom when four letters picked without replacement from mormmmmoomiio.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhdt when four letters picked without replacement from nnhdhttozdttdhndhthz.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, -3\/2, -0.30707, 2, -8, 0.4, 2\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + c = -2*c + 42, -39 = -3*w - 2*c. Let a(z) = z**3 + 4 - 4*z**2 - 7*z + 4 - 8*z**2 + 17*z. Let n be a(w). Sort n, 1, 4 in decreasing order.\nAnswer: 4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*k**2*t - 53306*k**2 + 1874677*t wrt k?\nAnswer: 24*k*t - 106612*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*-1.6.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1370\/15070)\/((-5)\/4455).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -275.4? (a) 0.11 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -475.1 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-178)\/88 - -2)\/((-52098)\/456). Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111001.\nAnswer: 11, 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d**2 + 5*d - 377. Calculate f(0).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhphshvjjtpshpp. What is prob of picking 1 j, 1 s, and 1 v?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 210 - 162. What are the prime factors of ((-36)\/8)\/(-3)*3520\/p?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-434))\/(18\/(-21)). Let d = -101\/372 + t. Which is the second biggest value? (a) -4 (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259357467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -83\/2. Let p = -0.05 + 0.05. What is the nearest to p in 0.1, -1\/4, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4851141 to four dps.\nAnswer: 0.4851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 14\/15*q**3 - 1\/15*q**6 + 2\/5*q**5 + 0*q - 9\/10*q**4 - 6 - 2\/5*q**2. Suppose c(u) = 0. Calculate u.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73630 by -7363.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134 - 223. Let f = o - -90. Let r be ((-2)\/(-10))\/((5\/15)\/(-1)). Which is smaller: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 216*z + 1264. Give v(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 62?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4488*i - 2784. List the prime factors of h(3).\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcwhhvccwcvzz. What is prob of sequence hh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 - 60.4. Let p = 2.6 - b. Let c = 7 - p. Do 0.1 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 260*u**2 + 4744*u + 10512.\nAnswer: -2*(u - 18)*(u + 2)*(u + 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*f - 247 = 257 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 85, -44, -4856.\nAnswer: -4856, -44, -5, -1, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 277896.788879 - 277896. Let i = d - -24.2111146. Let u = i - 25. What is u rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptpcctpbpbcqqc. Give prob of picking 1 t, 2 c, and 1 q.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 832 = 4*h + 3*y, 3*y = 2*h + 400. Suppose 11*q - 315 = -r + 6*q, 5*r - 4*q = 1517. Let g = r + h. Calculate the greatest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 0*s + 2*s)*(-1 + 6 - 1)*(-19*s - 12*s + 49*s)*(3*s - 3*s - 2*s)*(-4 - 1 + 2) in the form h*s**2 + t*s + c + u*s**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-74))\/(1176\/21756)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 + n + 8*n**3 - 2*n**4 - n**4 + 4*n**3 - 2 - 10*n**3 to j*n + g + t*n**4 + i*n**2 + w*n**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*w = -3*t, -2*t + 4*w = -30. Suppose l - 3*m = -3*l + 9, -m + 17 = 2*l. Let s = t - l. What is the nearest to s in -2\/11, -5, 2\/15?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1. Let g(k) = 2*k - 1. Let a(j) = g(j) + 3*o(j). Suppose 2*c + c = 21. Is 8 a factor of a(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Suppose i - r = -0. Suppose -b + i*b = 6. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 0 + -1 + sqrt(7) + (((sqrt(7) - sqrt(28)\/sqrt(4))*-3)**2 + sqrt(7) - sqrt(7)))*5.\nAnswer: -5 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90756?\nAnswer: 2, 3, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, l: 3}. Give prob of picking 2 l.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7264 and -2?\nAnswer: 7262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(180\/(-1)))\/(2\/(-36))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-11 - 0 - 444\/(-75)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -433, -441, -453, -469?\n\"Answer: -2*m**2 - 2*m - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 51. Suppose z*u = 2*k + 6, k + 3 = -11*u + 12*u. Solve 5*d + 5 = 0, -4*j + 3*d - 5 = -u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 6:28 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-27) - (-6394)\/2502. Let l(a) be the third derivative of 1\/6*a**s + 1\/8*a**4 + 0*a + 3*a**2 + 0. What is l(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k**(-2\/7)*(k**(-1\/3))**(-4\/35))**(-3\/7) assuming k is positive.\nAnswer: k**(131\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2. Suppose -2*i = 14 + 10. Let t be ((-3)\/(-9))\/((-1)\/i). Let l(r) = -r - r + 0*r + t*r. Determine l(x(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, o: 1, m: 2, d: 1, l: 5, k: 4}. Give prob of picking 1 o and 1 k.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z**5 + 4254370*z**4 - 181006851109*z**3 + 868749161296*z**2 - 608117129620*z + 115831315600 = 0.\nAnswer: 2\/5, 4, 85085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 60750 = 53*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 - -115. Let w be (g\/(-44) - -1)\/1. What is the second biggest value in 5, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/5068740 and 41\/15.\nAnswer: 5068740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1059557*i**3 + 1749515 wrt i?\nAnswer: 3178671*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 4*a**2 - a + 8. Let l be k(-4). Let s(w) = 9*w - l*w + 6*w. Let t(v) = 4*v**2. Calculate t(s(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - -108. What is the greatest common factor of 48 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1208 - -20b2?\nAnswer: 32ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 29\/19, 2, 5\/6, -2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-60))\/(6\/16).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2. Let x = -2 + 3. Let p be (x + -4)*1\/3. Let y(z) = z**2 - 6*z + 5*z + 1 - 8*z + 10*z + 0*z. Give p*y(v) - b(v).\nAnswer: -2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -30. Which is the third smallest value? (a) 12 (b) 0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1585 divided by -5.\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**2 - 20*s**2 + 11*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4972761615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (2 - (2 - (4 + -3))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1402 (base 7) in base 6?\nAnswer: -2301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 0*q - 3 + 0*q**4 - 1\/2*q**3 - 1\/60*q**5 - 38*q**2. Give o(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/720 + (-2 - 581\/(-336))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 3*i - 24. Let l be n(0). Let c = 24 + l. Solve 5*u = h - 9, 0 = -4*h - c*h + 3*u + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*87\/24*222. Let h = 7918 + l. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7))**(32\/5)*(v\/(v\/(v\/v**(-1\/10))))\/(v\/v**(-5)) assuming v is positive.\nAnswer: v**(-43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -214*c**2*v*y**3 + 255*c**2*v*y**2 + 115*c**2*y**2 - 6*c*y**3 - 4*y wrt v?\nAnswer: -214*c**2*y**3 + 255*c**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57984 and 28416?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*a - n + 102, 2*n - 73 = 3*a. Let i = a + 29. Solve -i*g - 1 = -2*g - p, -4*g = -4*p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 - 38*t - 5. Let l be a(-15). Let d = l - -1182. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 1021322023223?\nAnswer: -1021322023231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -194 + 218. What is the remainder when (-1)\/(((-3)\/(-279))\/(-1)) is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/9 - 16510*t**3\/3 + 11006*t**2 - 49526*t\/9.\nAnswer: 2*t*(t - 24763)*(t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.85693*5.\nAnswer: 79.28465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 41.72. Let j = 0.18 + v. Is -0.1 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/13 - 2466*f\/13 + 2464\/13 = 0. Calculate f.\nAnswer: 1, 1232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 41 - 63. Let f = 11 - d. Is (f + 1 + -1)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 5*o + 2. Calculate c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 139572*-1.97\nAnswer: -274956.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -0.059 (b) 0.5 (c) 122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-15) + 576\/30. Let w = p - 0. Is 20 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20212100211 + 201?\nAnswer: -20212100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let g(i) = 3*i - 12. Determine -g(k) + 2*m(k).\nAnswer: -k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99 - (-16 + -33 - -20)) + 29?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(104)\/sqrt(2) + sqrt(26)\/(sqrt(2)*1) + (sqrt(832) + 1 - sqrt(13)).\nAnswer: 1 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4412113 - -1113?\nAnswer: 4413230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 2*t**4 - 3*t**4 + t**4 - 5*t**4 + 3*t**4 + (4 - 2 - 1)*(2 - 2*t**4 - 2) - 286*t**3 - t + 286*t**3 - 3*t**4 + t**4 + t**4 + 0*t**4.\nAnswer: -6*t**4 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + j + 2. Let q(o) = -2*o**2 + 2*o + 3. What is -5*q(v) + 6*w(v)?\nAnswer: -2*v**2 - 4*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*o + 20*o - 810 = 0 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3614 and -4.\nAnswer: 14456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41.6720408 from -20.758.\nAnswer: 20.9140408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*2 - (13 + -16). What is the second derivative of 3*k - 19*k**3 + u*k - 7*k wrt k?\nAnswer: -114*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 737760*h**4 + 9 + h**3 - 2*h**2 + 2*h**2 + 9 - 2*h - 737753*h**4 to z*h**3 + s*h + o*h**4 + p*h**2 + t and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 17*j**2 - 4*j + 23. Let q be m(17). Let k = q - -47. Solve 0 = f - k + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -7*r + 354. Suppose -7*n + r + 106 = 0. Calculate the least common multiple of 6 and n.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -2.12.\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1459295 divided by 95\nAnswer: -15361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -862, -882, -930, -1018, -1158, -1362, -1642, -2010?\n\"Answer: -2*w**3 - 2*w**2 - 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 25 + (3 - -2 - (14 + -1 + -9))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 268638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 91 or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4916366 and 586.\nAnswer: 4916952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 422042 and 7480.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*v**3 - 18*v**2 - v + 18*v**2.\nAnswer: 112*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 6*j**2 + 6*j + 2. Let f(b) = 4*b**3 - 12*b**2 + 13*b + 5. Let t(x) = -2*f(x) + 5*i(x). Factor t(a).\nAnswer: 2*a*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 5*j + 325 - 96 - 229.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/39 - 190\/2847. Let h = 225\/146 + a. Put h, -3, -4 in decreasing order.\nAnswer: h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 52\/3, 2, -0.1, 0.1209?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101201 + 20?\nAnswer: 101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4)*(-60 - -32)*-3. Let i be -3*(-98)\/n*-1. What is the highest common divisor of 756 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 14. Let j be 102\/r + 3\/6. Let x = j + -14. Calculate the greatest common divisor of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -679, -1537, -2739, -4285?\nAnswer: -6175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide (-12)\/(216\/(-33861)) - 5\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 832*y - 525*y = -4575 + 2646 - 14342 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + 4*s**3 + 2*s**3)*(s + s - 4*s + (3*s + 0*s - s)*(-2 + 2 - 2) - 2*s + 3 - 3 + s - 4*s + 5*s).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10303?\nAnswer: 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390 and 31278.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpqqpqpqqq. Give prob of sequence qpqq.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 459, 1870, 4211, 7464, 11611, 16634?\n\"Answer: -3*h**3 + 483*h**2 - 17*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24850 and 1668143225?\nAnswer: 12425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Suppose 3*m = -5*q - 7, m + 2 = -s*q - 0. Are 2 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 3.3 (c) 5\/8 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 2052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -260*z - 1. Let p(v) = -2330*v - 9. What is 19*n(c) - 2*p(c)?\nAnswer: -280*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -20\/29 (c) -3 (d) 1\/6 (e) -1\/3 (f) -0.3 (g) 1\/300\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8\/m**(-1\/28))**12 assuming m is positive.\nAnswer: m**(675\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40442366 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10*x**2. Suppose 136 = 4*j + 24. Let h = j - 27. Is r(h) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from {a: 17, k: 3}?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1553, 1552, 1537, 1496, 1417, 1288?\n\"Answer: -2*f**3 + 5*f**2 - 2*f + 1552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-88))\/(-3)*-32*(-3)\/12.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.048843\nAnswer: 0.195372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.8 - 4. Let y = 0.0737 + 0.0363. Which is the biggest value? (a) l (b) -8 (c) 4\/5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 + 135.5. Let o = g - 65. Let z be -1 - (2\/(-2) + 3). Which is the nearest to o? (a) -2 (b) -4\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 31.27772 millilitres?\nAnswer: 0.03127772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31390.\nAnswer: 2, 5, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 2*h**2 - 3*h**2)*(-2*h + 0*h + 4*h)*(-2 + 1 - 2)*(-28*h + 28*h + 9*h**2).\nAnswer: 108*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 106?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.5 (b) 9 (c) 0.41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0983 and -4.\nAnswer: -3.9017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/9 - 708\/27. Let d = h + 28. Suppose -o + d*l - 3 + 1 = 0, 2*o - 20 = -4*l. Solve -2 - 2 = o*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-4)*(-8)\/(-3). Suppose 0 = -0*g - 6*g + n. Suppose 0 = -4*b + 3*f + 15, 7 = 3*b - f + 3*f. Calculate the smallest common multiple of b and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.64 - 34.64. Which is the closest to 1? (a) -0.4 (b) -10.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -7, -16 in decreasing order.\nAnswer: 2, 0, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -16 + 8 - v - 244*v**2 + 7. Let i be w(1). Calculate the remainder when 47 is divided by (-2)\/(-7) + i\/(-21).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -69*n - 12. Determine b(-3).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2032)\/(-64) - 36)\/((-1)\/4)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 4*s**2 + 9*s**2 + s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q**4\/3 - 16*q**3 + 3124*q**2\/3 - 1304*q + 288 = 0. What is q?\nAnswer: -12, 2\/7, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 74c?\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3497 - 3526. Suppose -3*z = -8*z - 135. Let r = j - z. Let s(b) = b**3 + 2*b**2. Give s(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + p + 1. Suppose 5*n + 14 + 1 = -2*k, -5*n - 15 = k. Let x be 1 + k + (1 - 4). Calculate y(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 14. Give u(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -4*u - 56, -u - 1217 + 1210 = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/(((n*(n*n\/n**2)\/n)\/n)\/n*n*n))\/((n**(2\/13)*n)\/n*n*n**(-2\/5)) assuming n is positive.\nAnswer: n**(276\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/((-24)\/9) - 51\/15. Let j = 2.7 + -9.2. Let l = 6 + j. Which is the closest to r? (a) l (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 25, -2539, -6, -5.\nAnswer: -2539, -6, -5, -3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -233*o - 2. Let l be j(-1). Let s be 2\/15 - l\/45. Let h be (0 - s)*(1 - 2). Sort h, -2, 5 in descending order.\nAnswer: 5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 73 = -5*h, 3*h - 38 = -2*r + h. Let n = 37 - r. Suppose -18*f = -n*f - 39. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = b + 43. Let r be b\/2*20\/(-15)*1. Let o = -7 - -8. Solve -r*a + 3 = -o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1019\/2 - -32631\/64. What is the common denominator of x and 3\/(-48)*44\/308?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159*b - 448 + 448)*(20*b + 1 - b**3 + 4 - 7).\nAnswer: -159*b**4 + 3180*b**2 - 318*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2796385960 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 4)*(-3)\/(-3). Suppose o + 2*r - 15 = c, -6*o + 80 = -3*o - r. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 + 357. Suppose -n*m = -241*m - 120. Calculate the smallest common multiple of m and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.39 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 599.5506m to micrometers.\nAnswer: 599550600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 4*s + 0*s)*(7812*s**2 - 3902*s**2 - 3 + 1435*s - 3912*s**2).\nAnswer: -2*s**3 + 1435*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -14. Let r = 0 + 0.5. Which is the closest to 1? (a) r (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = i - 11758, -4*y = -6*i + 8*i - 15674. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 3:43 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2358 - 7033 + 2319 + 2356 - 25*d.\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 34 = 2*h, -5*h - 166*m - 40 + 147 = -165*m for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 + 0 = 0. Let p be (2\/(-6))\/((-12)\/9). Is t greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 4874.8514\nAnswer: -4872.8514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13038193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*b + 11*b - 8*b + (-1 + 6 - 3)*(b + b - 4*b))*(2 - 3 + 3).\nAnswer: -34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 - 11*r + 8. Let i be v(12). List the prime factors of 4 + -8 + i\/2.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32518742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/((t*t\/t**(-2\/9))\/t*t))\/t)**(3\/29))**45\/(t\/((t**(1\/6)\/t)\/t*t)*t*t*t**(-3\/2)\/t*t*(t*t**9)\/(t\/t**6)) assuming t is positive.\nAnswer: t**(-2003\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 38 and 24.8.\nAnswer: 62.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121, 0.2, 2, 5, -0.2 in descending order.\nAnswer: 121, 5, 2, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(5 + sqrt(17) + 1 + -3)**2)*-1.\nAnswer: 22 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*b + 2 - b**3 - 3*b**2 + 4*b in the form d + l*b + m*b**2 + t*b**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 6. Suppose -2*k - 4*s = w*k - 96, 0 = -4*k + s + 60. Calculate the smallest common multiple of k and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 39475*s - 118426. Determine o(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, x: 2, k: 1, i: 1, t: 2, y: 2}. What is prob of sequence xy?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*n**3 - n**2 - 112.\nAnswer: 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l - 25 = -5*d, -4*l = 3*d + 14. Suppose t - 4 = -d. Let p(u) = -2*u**2 - u**2 + 5*u**t. Let o(q) = 3*q**2. Determine p(o(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 7:09 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*z**3 + 1 - z**2 + 4 + 58*z**3 - z in the form x*z + b*z**2 + f*z**3 + a and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1102415 divided by 3737\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 185228322 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1177*y + 9373. Give j(-8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -345 + 347. Let l(i) be the third derivative of 0*i + f*i**3 - 5\/12*i**4 + 7*i**2 + 0. Differentiate l(w) wrt w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2760\/4320*((-3)\/8)\/1. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1750137 (base 8) in base 6?\nAnswer: -14550451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 78*r**3 + 13888*r**2 + 618550*r + 31684.\nAnswer: 2*(r + 89)**2*(39*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 13*j + 4. Let v(a) = -4*a**2 + 20*a - 3. Let s be v(4). What is q(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 23. Let k = 19 - x. What is the second biggest value in -1\/11, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i + 1372 - 3534 = 0. Calculate the highest common divisor of i and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 9*a + 34 = -8*a, 4*r - a - 146 = 0. Suppose 35*b - r*b = -3. Solve -2*q = -q - j, b*j = -9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 1:41 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.16 and 0.2.\nAnswer: -0.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-3 - -12)) + (-12 - (-2 - 4))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33b857 (base 12) to base 16\nAnswer: -ca603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1041 - 1045. What is the biggest value in g, -64, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 5*t + 56. Let n = 0 - t. What is the least common multiple of 48 and n?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**3 + 3*t**2 + 3*t + 3. Let j(c) = -2*c**3 + 70*c + 0 - 3 - 26*c**3 - 20*c**2 - 17 - 90*c. Let v = 2 - -18. Determine v*p(r) + 3*j(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + 0)*((-26)\/(-4) - 6). Solve g + 1 = k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 50*g**2 + 3*g + 7. Let y(l) = 52*l**2 + 2*l + 6. Give -2*b(q) + 3*y(q).\nAnswer: 56*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 292 - 102. Let f = x + -182. Solve 5*j + f - 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208 + 1 - 7\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1970\/81 (b) -0.5 (c) 13\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + 9*j**2 + 8305 + 6*j**2 - 8306 + 4*j**2 + 64*j.\nAnswer: 18*j**2 + 64*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9199, 9075, 8951, 8827?\n\"Answer: -124*g + 9323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 3*u - 2. Let h(t) = -3*t**2 + 9*t + 7. Calculate -4*h(y) - 14*w(y).\nAnswer: -2*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.39 * 603.7479.\nAnswer: 839.209581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -3*r**8\/7 + 205*r**4\/24 - 6*r**2 - 6. Find the second derivative of c(y) wrt y.\nAnswer: -2880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = 2*d, 4*d - 2*d + 2 = -5*g. Suppose d*s - 2*i = 2*s + 78, -s = -4*i - 42. What is the least common multiple of 10 and s?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -435 divided by 31?\nAnswer: -435\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 - 50. Suppose -3*f = 4*v + p, 5*v + 7 = -f - 17. Let b be 60\/27 + 4\/(-18). Sort f, b, 0.\nAnswer: f, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**2\/3 - 662774650*l - 65890535502393375 = 0. Calculate l.\nAnswer: -198832395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(96)\/(sqrt(21)\/sqrt(7)) - (sqrt(32) + ((sqrt(352)*1)\/sqrt(11))**2)*4).\nAnswer: -128 - 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + 2*n + 3084 - 149*n**2 - 3084 as u*n**2 + p + s*n and give u.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1675999983?\nAnswer: 3, 7, 131, 609233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.2. Let u = 0.202 - 0.102. Let v = 107\/170 - 1\/34. Which is the closest to u? (a) n (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (sqrt(228) - (sqrt(228) + sqrt(228)*1)) - sqrt(228))*-1)\/((2*sqrt(72))\/sqrt(6)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 1428.\nAnswer: -11\/714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.382 - 0.218. Let g = -28 - k. Let b = 27 - 24. Sort 2, b, -2\/11, g in descending order.\nAnswer: b, 2, g, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/7)*z**(-2)*(z*z**(1\/2)\/z*z)**(-21))\/(((z*(z**(-2)\/z)\/z)\/z)**(-15\/2)\/((z*z**2)\/(z\/(z\/z**(-1\/8)*z)))) assuming z is positive.\nAnswer: z**(-3317\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 261\/51 + (-4)\/34. Sort -5, b, 9 in decreasing order.\nAnswer: 9, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 - 21*u**4 + 22*u**4 + 3*u**2 + 0*u**3 + u**2 as h*u**4 + j*u + f*u**3 + b + l*u**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdmue. Give prob of picking 1 d, 1 u, and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y. Let v be h(1). Suppose -v*w + 5*w = 0. What is the closest to w in -2\/9, -3, 1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 26*a**3 + a - 1. Let x be u(1). Let k be (-59)\/(-1) - (5 + -11). What is the greatest common factor of k and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/14261770 and -109\/1060.\nAnswer: 28523540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13480 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 34*j - 200 + 43*j + 203 + 25*j + 89*j. Let c(k) = 2*k**2. What is v(c(q))?\nAnswer: 382*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + h**2 + 4*h - 55. Give y(0).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001101011110 - 100?\nAnswer: 101001101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 67\/5 of a gram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -44125000 to the nearest one hundred thousand.\nAnswer: -44100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 8484600?\nAnswer: 8484600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 7*l**2 + 2*l - 7. Let p be t(7). Let m = p - 3. Which is the second smallest value? (a) 4\/9 (b) -0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5395 + -21579\/4. Is y at most as big as -82.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 21, 19, 15, 9, 1, -9?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/12 and -69\/38.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*c**2 + 155*c**2 - 36*c**2 - 35*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 plus 3969844.804057?\nAnswer: 3969822.804057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**1)**(-30)\/(d**(2\/15)*d*(d*d**(-2))\/d) assuming d is positive.\nAnswer: d**(-887\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 63.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/5 - 38*y**4\/5 - 48*y**3 - 504*y**2\/5 = 0.\nAnswer: -7, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 560 and 22624.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 10*a**3 + 5*a**2. Let o(q) = -5*q**3 - 3*q**2. What is 10*o(d) + 6*x(d)?\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 18 = -3*m. Let c = m + 9. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 168*k - 167*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 5, 3, -6, 4 in increasing order.\nAnswer: -6, 3, 4, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8852 + -6310. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 35\/11 + 10\/(-55). What is the third derivative of -9 + 0*x**2 + 9 - 3*x**2 - x**y wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4082118 (base 11) to base 4.\nAnswer: -123133110132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4251 equal to 4252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 3*g + 4*g)*(-g + 0*g - g + (-g + 2*g + g)*(1 - 8 - 1) + g - 2*g + 5*g)*(-6*g**3 + g**3 + 4*g**3) + g**5 - g**5 - g**5.\nAnswer: -29*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -17*v**2. Let j(y) = -84*y**2. Let r = 598 - 601. Determine r*j(g) + 14*k(g).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.41 + -3.61. Which is the nearest to 1? (a) 0.3 (b) t (c) -0.4 (d) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 7. Let i be y(-4). Suppose 18*n = -2*n + 102 - 22. Solve n*l = i*a - 11 + 27, 5*l - 20 = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1100) + -4*sqrt(11)*-1.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 253*d**2*o**3 - d**2*o - 7475*d*o**4 + 67096626*d*o - o**2 wrt o.\nAnswer: 1518*d**2*o - 89700*d*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3515313 (base 6) in base 4?\nAnswer: -230101131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.17968549 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/2 - 6\/(-12). Suppose 2*z = -h + 10, 0 = -d*h + z + z - 4. Suppose 3*q + h*q - 25 = 0. Solve -q*g = -g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 c, and 1 p when three letters picked without replacement from {c: 2, x: 4, z: 1, i: 3, b: 1, p: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 86340 to the nearest 1000.\nAnswer: 86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*a + 38 + 1, -3*h = 5*a - 15. Suppose -5*f = -p - 17, -5*p - 9 = 5*f - 44. Let j = 4 - f. Solve 0 = -j*d - 2*d - h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*u**2 - 1194*a + 556*u**2 + u wrt u?\nAnswer: 2*a*u + 1112*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -209*b - 830. Give k(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 10, 4\/75, -0.734, 7?\nAnswer: -0.734","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 - 3*y**3 - 2*y**4 + (3*y**3 - y**3 + y**3)*(-3*y - 3*y + 71 - 72).\nAnswer: -20*y**4 - 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 5)\/(8 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -69.17.\nAnswer: -69.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 13*d**3 + 197*d**2 + 471*d - 445. Give c(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 225\/(-72) - (-1)\/8. Let v(s) = -2*s**3 - 3*s - 7. Let o(g) = -g**3 - 3*g - 6. Give l*v(b) + 4*o(b).\nAnswer: 2*b**3 - 3*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8278578*j*y**2 + 47*j*y - 159773*j wrt y?\nAnswer: 16557156*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = n - 0. Calculate the remainder when 38 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 7\/36*d**3 - 1\/24*d**4 - d - 7\/120*d**5 - 1\/6*d**2 + 0 + 1\/36*d**6. Solve k(h) = 0 for h.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 13 = -t, -2*y - 3*t + t = -6. Let h(l) = l**2 - 8*l + 7. What is the smallest common multiple of 1 and h(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**3 - 125*l**2 - 2045*l - 6475 = 0.\nAnswer: -7, -5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22\/55*15\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.03 - -5.1356. Let v = -14.1 - -13. Let d = y + v. Round d to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/640 and -71\/2688?\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635676 bigger than 1635765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h\/(h\/(h*h\/(h**(-3\/5)*h))))\/h*h*h*h**(-9)*(h*h\/h**8)**33 assuming h is positive.\nAnswer: h**(-1017\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2725792 - 10954*d**3 - 2725792.\nAnswer: -10954*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 - 68. Is a > 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5201 (base 6) to base 3.\nAnswer: -1120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/432205424 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 11*i - 2*i + 11*i**2 - 4 - 8*i**2 + 21. Determine z(-7).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + -3*((-2*(-2 + 0 + sqrt(17) - (1 + 1 + sqrt(17) + sqrt(17))))**2 + 1))*-3.\nAnswer: 288*sqrt(17) + 1203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttt. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 4. Let r = 17 - 25. Let o = t - r. Solve o*i + i - 4*f = -16, -2*f = 3*i - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arxaaaxarr. Give prob of sequence araa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2656299683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -186 + 245. Calculate the greatest common divisor of g and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 6*k**2 - 4*k + 13. What is a(-6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -104646696 divided by -24\nAnswer: 4360279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than or equal to -756\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(3 + (-44)\/12). Let z be f\/(-14) + 2530\/70. What is the highest common factor of z and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47742, 47652, 47582, 47544, 47550, 47612?\nAnswer: 47742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16787, 33576, 50237, 66770, 83175, 99452?\n\"Answer: -64*g**2 + 16981*g - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8190)\/2184 - 1974\/(-8). Solve 0 = -l*p + 238*p + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zczv when four letters picked without replacement from xzeacxvaezaxazzazxaa.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7099, 7599, 8097, 8593, 9087, 9579?\nAnswer: 10069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*f + 20 - 20)*(-2 - 3 + 6 + (-1 + 6 - 3)*(-2 + 0 + 1) + 1 + 0 + 1).\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 129882 and 3?\nAnswer: 129882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(112) - (sqrt(112) + (sqrt(112) - -4*sqrt(112)) - sqrt(112)))*3 + 4))**2.\nAnswer: -13824*sqrt(7) + 581184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - -4*((-4*sqrt(1377) - sqrt(1377))**2 - sqrt(1377)))*6 - (1 + 2*sqrt(1377) + 0)) + 0.\nAnswer: -180*sqrt(17) + 826199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aamaaamamum.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*t = -230, -6*x - 4*t + 380 = -x. What is the remainder when x is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74181 divided by -3\nAnswer: 24727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2617.1 + -2760. Let x = -150 - d. Let a = 7.139 + x. What is a rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3192260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 230\nAnswer: 1\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*l**5\/5 + 1159521*l**4\/5 - 42016511644*l**3\/5 + 89281300718*l**2\/5 - 52517704548*l\/5 + 5251755961\/5 = 0. What is l?\nAnswer: 1\/8, 1, 72469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 10 - 4. Suppose -i = -19*g + 20*g. Which is the third smallest value? (a) g (b) -0.1 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * 3462855.\nAnswer: 484799.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13231941 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 81132.14 millilitres?\nAnswer: 81.13214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, -245, -1066, -2723, -5492, -9649, -15470?\n\"Answer: -46*c**3 - 4*c**2 + 73*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67939, 135849, 203727, 271567, 339363?\nAnswer: 407109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*c + 4*n - 7*n, 5*c = -3*n - 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 11*k**3 + 54*k**2 + 21*k - 12. Let v(a) = -14*a**3 - 71*a**2 - 28*a + 16. Let n(l) = -9*j(l) - 7*v(l). Calculate n(12).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*t + 4*z - 27 = -76*t, -12 = -4*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 + 2*s**4 - s**4 + (2 + 3 - 3)*(5*s**3 - 5*s**3 + s**4).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4704192, 37633498, 127013038, 301067928, 588023284, 1016104222, 1613535858?\nAnswer: 2408543308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6928 and 138560?\nAnswer: 138560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 205533 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10302964.\nAnswer: 2, 7, 47, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anar when four letters picked without replacement from {a: 2, l: 3, r: 1, q: 4, n: 1}?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/32, 4, 5\/3, 3, -1.086 in increasing order.\nAnswer: -1.086, -5\/32, 5\/3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 31085322?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(2\/5))*h\/(h*h**4*h)*h)\/((h**0*h)\/h)**(8\/7) assuming h is positive.\nAnswer: h**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*((-68839)\/(-574))\/(-73).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11 + (-3)\/(-6)*2. Suppose -j = 3*u - 27 + 9, 4*j - z = 3*u. Suppose 0 = -2*v + 6. Solve v*l - j = -21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -4, 3\/4, 4, -11\/59 in decreasing order.\nAnswer: 4, 3\/4, 2\/3, -11\/59, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - 110 + 45*j**2 + 46*j**2 + 3*j - 92*j**2 as d*j**2 + r + a*j and give r.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-1))\/2*0)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 2:09 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 12. Let v be (1*t)\/(21\/14). Let d(a) = a**3 - 5*a**2 - 4*a + 1. Calculate d(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3509*t**6 - 2711*t**2.\nAnswer: -421080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -92.6 times 3\nAnswer: -277.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**5\/f)\/f)\/(f**(-3)*f)*((f\/(f**(2\/3)\/f))\/f)**(-19) assuming f is positive.\nAnswer: f**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1 + 15*u**2 - 1 - u. Let a be 1*3\/2*(-44)\/(-66). Does 14 divide m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b = 0. Suppose 3*l - 21 = -a, l - 9 = 11*a - 12*a. Suppose b = -4*n + 211 - a. What is the highest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 366, 374, 396, 438, 506, 606?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2054*18921.\nAnswer: -38863734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-40) - 19\/(-15). Are a and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -12596*k**2 - 32*k - 12. Let z be p(-9). Round z to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-90)\/215)\/3)\/(36\/(-12)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 313992 and 20328?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 280283687 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*j - 54 = 6*v, 6 = -2*j. Which is the closest to -0.1? (a) 0.2 (b) -1\/8 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.003 - -2.997. Let k = 2.8 - 5. Let r = k - -2.6. What is the third biggest value in p, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 + 748106?\nAnswer: 748120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.4 (c) 0.07 (d) 1\/5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319178 + 64271 = 75*r + 54049. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5240.424 and -49052.8.\nAnswer: -54293.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3540 divided by -59.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3210072 is divided by 976.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 + 9*z**3 - 19*z**3 - 11*z**3 - 49*z**3.\nAnswer: -69*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2a46140 (base 13) to base 8\nAnswer: 63363663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v. Let i be p(-5). Let g be 80\/6*(-6)\/i. Find the second derivative of -15*y - g*y - y**2 + 36*y wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 11 + 28)*(-c**3 + 6*c**3 - c**3).\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**2 + 4*w + 1. Let b(v) = 4*v**2 - 3*v - 1. Suppose 25*t - 20*t - 30 = 0. Calculate t*b(l) + 5*g(l).\nAnswer: -l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 h when three letters picked without replacement from {y: 2, k: 6, h: 3, r: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 g when four letters picked without replacement from llgllglllf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g - 8 = 0. Suppose 5*z = z - 16, -2*p - g*z + 72 = 0. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 438\/8 + -6*6\/(-144). What is the greatest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12015\/14 - -1709\/2. What is the common denominator of y and 103\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 21.4. Let j = v + 4. Which is the second biggest value? (a) 0.3 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(153)*-4 + 3 - sqrt(153) - sqrt(153) - sqrt(153))**2 - sqrt(153)) + (sqrt(153) - ((0 + sqrt(153))**2 - sqrt(153)))*5.\nAnswer: -99*sqrt(17) + 6745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 3*q + 3. Suppose 3*c - 1 = -f, 2*f + 6 + 0 = -2*c. Suppose 6 = c*v - g + 3*g, 15 = 5*v - 5*g. Does 2 divide n(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47192228.999958 - -47192178. Let d = 21 - 72. Let f = d - u. Round f to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 22 = 5*v, v - 8 = -6*q + 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -366328267 less than or equal to -366328267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -690*o**2 + 2009*o**2 - 663*o**2 - 655*o**2 - 21*o + 20*o.\nAnswer: o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = o - 15, -4*i - 5 = -4*o + 7. Suppose -6*v + v = -0*v. Solve v = 3*a + o, -3 = y + 4*a + 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + ((-2)\/6)\/(13\/351). Let a = -10745 - -214813\/20. What is the common denominator of a and (t\/(-110))\/((-2)\/31)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + -4 + sqrt(320) + 1 + -1 + sqrt(320)).\nAnswer: -48*sqrt(5) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -21*j**2 - 4*j - 7. Let l(q) = -11*q**2 - 2*q - 4. Let y(t) = 5*l(t) - 3*s(t). Determine y(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*i = 416, -t - 2*i = -29 - 108. Suppose 0 = 3*l + 2*y - t, 2*l = 4*l + 5*y - 98. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1340 is divided by 268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125007676?\nAnswer: 2, 31251919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2930419093 to the nearest one hundred thousand.\nAnswer: 2930400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-75)*-15*10\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*4 - (0 + sqrt(153))) + (sqrt(612) + 3 - sqrt(17))*1.\nAnswer: 3 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13770288123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -745, -1477, -2205, -2929, -3649?\nAnswer: -4365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511993.5 bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 364077227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4734 divided by 789\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 300 - 505. Let g = 378 + f. Let k = g + -173.0097. Round k to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 2*o - 20. Let c be s(0). Which is smaller: -21 or c?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (153\/(-9))\/(24\/(-24)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 664626?\nAnswer: -664621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 4*t + 0 + 0*t**3 + t**2 + 1\/6*t**4. Find the first derivative of a(x) wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 939 < -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a**3 - 9*a**2 + 9. Let j(g) be the second derivative of -13*g**5\/10 + 13*g**4\/6 - 13*g**2 - 3957*g. Calculate 17*c(b) + 6*j(b).\nAnswer: -3*b**3 + 3*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224457266 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u - u**2 + 1711364*u**3 - 25*u + 5*u**2 - 1712798*u**3 - 5*u wrt u.\nAnswer: -8604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -710.\nAnswer: -13\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*m + 70 + 570 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*(-9)\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 t, and 2 y when four letters picked without replacement from nyuyennnenyneet.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2794*k**3 + 2528*k**2 wrt k.\nAnswer: 16764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -10 + (15 - -8) + -36.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**1*k**(-2\/15)*k*k)\/(((k*k**(-2))\/k)\/(k\/(k\/(k**(2\/17)*k)*k))) assuming k is positive.\nAnswer: k**(1016\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 2:06 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -3*z - 13, -2*z + 5*h + 1 = 19 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4617677 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4\/50*(-420)\/252\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513*p + 580*p + 589*p + 407*p + 506*p - 2852*p.\nAnswer: -257*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 65 = 4*u + 3*f, 3*u = -2*f - 46. Let q be 3 + u + 0\/(-5). Does 11 divide (-225)\/6*18\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 100*n**2 - 38 wrt n?\nAnswer: 200*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 797.3314cm?\nAnswer: 7.973314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 442, 623, 776, 895, 974, 1007, 988?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q. Let s be l(0). Let o be 2\/(s + (-5)\/(-10)). Solve d = -o, d - 6 + 4 = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9276052*m**4 + 12457864*m wrt m?\nAnswer: -111312624*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/10 - -1\/5. Let k be (-2)\/(-21) - 288\/672. Which is the third smallest value? (a) -2\/3 (b) -3 (c) k (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/15*30\/144.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 2, -2\/389?\nAnswer: -2\/389","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -207*m - 3614. What is o(-18)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15181791.\nAnswer: 3, 5060597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 6. Let o be (-2)\/t - 5\/(-15). Suppose -d = -o*d - 13. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 93*j - 80*j + 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14\/(-56)*-28 + 5 and 410.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*u**2 + 6*u - 6*u + (-2 + 2*u + 2)*(0*u - u - 3*u).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1724051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -170, -245, -190, 43, 502, 1235?\n\"Answer: 8*m**3 + 17*m**2 - 182*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 6. Give v(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v*v\/(v*(v*v\/(v*v*v\/((v\/(v*v\/(v\/(v*(v*v**(5\/3))\/v*v))*v*v))\/v)*v)*v)\/v))))\/v)\/(v\/(v*v**(-5))))**(-2\/17) assuming v is positive.\nAnswer: v**(-22\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 30. Let x(j) = 2*j. Give x(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 119?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43927 = -2*s - 5*r, r + 43969 = -22*s + 24*s. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*c + 63*c + 735 = -95*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1225 - a75?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*d**4\/2 + 1683*d**3 + 42963*d**2\/2 + 18612*d - 1134 = 0. What is d?\nAnswer: -9, -1, 2\/35, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 3*o**3 + 3*o**3 + 0*o**2 - o**3 + 0*o**2 + (2*o - 1 + 1)*(0*o + 0*o + o**2) + o**3 - 5*o + 5*o)*(0*o**2 + 0*o**2 + o**2).\nAnswer: 5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 659092970 to the power of 1\/2, to the nearest integer?\nAnswer: 25673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -464.14 - -463. Round t to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*i**2 - 280 + 283*i**2 + 83 - 17*i**2 + 197.\nAnswer: 453*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/4 - 21\/(-4). Calculate the highest common factor of l and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynvnqqqzynyqq. Give prob of picking 1 v, 1 n, and 1 q.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -350, -1199, -2538, -4361, -6662, -9435, -12674?\n\"Answer: z**3 - 251*z**2 - 103*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522ba7 (base 13) to base 7.\nAnswer: 22214413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 413834 times -0.1014\nAnswer: -41962.7676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*b - 5*h, 128 - 133 = -5*b - 2*h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44623 - 2?\nAnswer: -44625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4096*d**5\/11 + 424960*d**4\/11 - 536752*d**3\/11 + 8110*d**2 + 17856*d\/11 + 630\/11 = 0.\nAnswer: -105, -1\/16, 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/(-75))\/((-2)\/(-10)). Differentiate 8 + 3 - 3*q**k + 4*q**2 wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/170 or 1?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 111201 (base 3) in base 13?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.42, -2\/7, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -679, -2684, -6011, -10660, -16631, -23924, -32539?\nAnswer: -42476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n + 2*n + 4*n + (-2*n + 0*n - n)*(-2 + 1 + 0))*(-6*n + 6*n**3 + 6*n) as t*n**2 + x*n + q*n**4 + g + j*n**3 and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 0) + (-2)\/(-2). Let t(r) be the first derivative of r**4\/4 - r**3 - 3*r**2\/2 - r - 1. Let v be t(4). Sort v, j, -5.\nAnswer: -5, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6103155906?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -217 - 1\/(-2)*-4. Calculate the common denominator of (-2)\/(-1) + v\/66 and 55\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 + -54. Suppose -4*d + 5 - 25 = 0. Let n(u) = -6*u - 4. Calculate the least common multiple of n(d) and k.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 - h**2 + 5*h**2 + (-4*h + 3*h + 0*h)*(3*h + 0*h - 5*h) + (2*h + 8 - 2 + 17)*(33 - 60 - 2*h + 35).\nAnswer: -h**2 - 30*h + 184","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41\/2 - -283\/14. Let y be ((-10)\/6 + 1)*(-6)\/7. What is the nearest to j in 2\/5, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2 + 40*a - 168 = 0.\nAnswer: 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 167*i + 1608. Give j(-10).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21899441969343.14600022 - -21899441384381. Let t = -584941.146 - p. Let f = t + -21. What is f rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Suppose 0 + 3 = s. Let r(p) = 3*p**2 + s*p + 2*p**2 + 3*p**2 + 3 - p**3 - 5*p**2. What is r(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = -5*w + 7, 1 = -4*r + w. Let q be -1 + (r - -1)*1086. Suppose -5*j = -0*j - q. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 m when three letters picked without replacement from {r: 5, m: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010110011010111001010 (base 2) in base 11?\nAnswer: 6374088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36561, -36560, -36559, -36558, -36557?\n\"Answer: y - 36562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4023136 - 2?\nAnswer: 4023134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**2 - 6*v + 6. Let w(o) = -14*o**2 + 17*o - 17. Let z(y) = -17*s(y) - 6*w(y). Let x(h) = -11*h + 2. Determine x(z(q)).\nAnswer: 11*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*b = 668 + 427. Suppose 0 = -2*q + 183 + 109. Calculate the remainder when q is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/4)\/(2\/12). What is the third smallest value in -0.5, n, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/4 - 2677*r**2\/2 - 26709*r\/4 + 48141.\nAnswer: -(r - 4)*(r + 9)*(r + 5349)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18458 and -540.\nAnswer: 9967320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 20. Let u be a(-10). Suppose -22 + 2 = -5*g, u = -4*f + 3*g. Let z(o) = 2*o**2 + o**3 + 9 + 2*o - 11 - 5*o**2 - o**2. Calculate z(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/83458 and -143\/750.\nAnswer: 31296750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*x - 351*x + 73*x to l + g*x and give g.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = 9. Suppose j + 0 = c. What is the greatest common divisor of 12 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.180477 decades to months.\nAnswer: 861.65724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 61, 59, 57?\n\"Answer: -2*l + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -22\/3*m**4 + 0 + 16*m**2 + 8\/3*m + 6*m**3 = 0. What is m?\nAnswer: -1, -2\/11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**5 + 17*n**4 + 134*n**3 - 532*n**2 + 56*n + 704 = 0.\nAnswer: -8, -1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/260077 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) -7 (c) 0 (d) -15 (e) 0.4 (f) 3 (g) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.10674 + 0.07674. Sort -3\/4, p, 78.\nAnswer: -3\/4, p, 78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 185 = 221. What is the second biggest value in -1\/11, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -109*o - 341. Let z(j) = -144*j - 342. Give -4*p(l) + 3*z(l).\nAnswer: 4*l + 338","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108700.\nAnswer: 2, 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2523*t = -8017*t - 32964 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -234*x**4 - 262*x**4 - 332*x**4 + 2*x**4 - 2*x**4 - 2*x**4 + (0*x**3 + 3*x**3 - 2*x**3)*(1 - 1 + x).\nAnswer: -829*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 less than 340349231?\nAnswer: 340349248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119534 + -100096.4. Round t to the nearest one hundred.\nAnswer: 19400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, q: 7, m: 2, r: 2}. Give prob of picking 2 q and 1 r.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 156\/1014 + (-98)\/(-260)*-2. What is the closest to t in -5, -8\/9, 0?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + a. Let i(o) = 3431 - 3431 + 2*o**2 + o. Give -3*g(h) + 2*i(h).\nAnswer: h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1277023\/153163 + -809\/97. Is 0 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4870255227.\nAnswer: 3, 1623418409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w. Let a(v) = 1047*v. What is s(a(d))?\nAnswer: 1047*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -61, 1\/5, -0.1, 1932, 25?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -146, -199, -290, -419, -586?\n\"Answer: -19*w**2 + 4*w - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15632, -62569, -140796, -250313?\nAnswer: -391120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 33*y**2 - 2*y - 2 + 5*y. Let l be x(3). Suppose j - l = -3*s - j, 3*j - 6 = 0. What is the greatest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -3243938?\nAnswer: 3243938.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 230608267 to the power of 1\/3, to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 68*p**2 - 5 - 47*p**2 + 5. Let w(g) = 9*g - 10. Let o(k) = 5*k - 6. Let r(x) = 5*o(x) - 3*w(x). What is r(m(z))?\nAnswer: 228*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240754\/(-67014)*(-54)\/(-2).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 554.0601mm?\nAnswer: 0.5540601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b41 (base 12) to base 2.\nAnswer: -1101010100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/5 + 4726608*u - 23633036\/5.\nAnswer: -4*(u - 5908259)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/10 - 242\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2900\/383 + 54540132\/4979. Let i = w - 10964. Is i at most as big as -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -212*x**3 + 2*x**2 - 6*x - 18826?\nAnswer: -636*x**2 + 4*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 29. Let s = 26 - u. Calculate the remainder when 16 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -154*h. Let l(o) = -14*o. Let r(z) = 5*c(z) - 56*l(z). Calculate r(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 33, 1 in decreasing order.\nAnswer: 33, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-2) - (-4)\/(-3)*-231?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5584697018 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**2 - 2*n. Let m be l(4). Let c = -206 + 217. Suppose 0 = -2*i - 3*z + 42, -4*z = -c*i + 7*i + 64. What is the highest common divisor of i and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 0*d**3 - 5 + 29\/24*d**6 + 0*d - 65\/4*d**5 - 1\/42*d**7 - 375\/8*d**4 - 3*d**2. What is p in z(p) = 0?\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1710490 is divided by 767?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, l: 5}. What is prob of sequence slll?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010621895 rounded to 5 dps?\nAnswer: 0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1127 divided by 11\nAnswer: -1127\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6*r = -3*g + 16, -2 = -2*r - 3*g. Suppose 5*t = l + 27 - 2, 25 = -5*l. Let v be (-1)\/((-20)\/(-8) - 3). Sort -7, v, t, r.\nAnswer: -7, r, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.107079533 to 4 decimal places.\nAnswer: 0.1071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*l - 2 = 0, -1 + 6 = o + 5*l. Suppose 0 = -2*p - 3 + 5, y - p + 1 = o. Which is bigger: y or -7\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -21. Solve 2*k**5 - l*k**2 + 12*k**2 - 2*k**4 + 6*k + 10*k**4 - 4*k + 12*k**3 = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648586847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1. Let n(t) = 9*t + 14. Let q(y) = n(y) - 3*x(y). Let z(a) be the first derivative of -5*a**2\/2 - 9*a + 1252. Determine 6*q(p) + 11*z(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1320 and 1540.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 55 + -1f8246?\nAnswer: -1f81f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-189)*7*(-1)\/(-36)*-1. Let j(k) be the third derivative of -24*k**2 + 0*k**3 + 0*k - p*k**4 + 0 - 1\/270*k**5. Factor j(s).\nAnswer: -2*s*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-217*k + 217*k - 21*k**3)*(-97*k - 38*k + 25*k - 49*k).\nAnswer: 3339*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15701072159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2475*u = 9*k + 2477*u + 42, -16*u + 18*u = -6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 13023448*n - 13023452*n - 0*x + 16, -2*x = -8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 8*v**2 + 3*v - 9*v**2 - 3*v - 2. Let f(r) be the third derivative of r**4\/2 + 58*r**2. Calculate k(f(p)).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 41. Let v(d) = z*d**3 + 4*d**3 - 17*d**2 - 18*d**3 + 2*d - 8. Calculate the remainder when 129 is divided by v(17).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 - 47 + 14*x in the form t*x + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**5 - 48*u**4 + 104*u**3 + 640*u**2 - 2700*u + 2000.\nAnswer: 4*(u - 5)**3*(u - 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - i + 8, -4*z + 6598*i = 6601*i - 166 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = t - 1. Suppose 1386 = 10*q - 3*q. Let v = -196 + q. Solve v*a + 3*l + 15 = 0, -a - 19 = t*l + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179838, 359720, 539602, 719484, 899366, 1079248?\nAnswer: 1259130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 9)*1\/3 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8 + 2*i + 2*i + 4*i + 10*i - 14*i. What is h(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.044 + -34.956. Let p = f - -35.2. Let w = -2.5 - -3. Which is the biggest value? (a) p (b) w (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*n - 388 - 1362, -5*k - 4*n = -8895. Let d be k\/20 + -3 - 4\/(-16). What is the greatest common divisor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**3 + 30*n**2 + 155*n - 1336. Give w(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/8)\/(3\/8). Put -5, -3, l in decreasing order.\nAnswer: -3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/3 + (-20)\/30. Let x = 0.035 - 2.035. Which is the second biggest value? (a) x (b) j (c) -0.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - 7*f**2 - 5*f**2 - 8*f.\nAnswer: -12*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**7\/840 + b**6\/720 - b**4\/12 + 3*b. Let c(a) be the third derivative of x(a). Find the second derivative of c(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3. Suppose 0 = 3*j - 5*q + 25, -2*q + 4*q - 10 = -5*j. Suppose j = 3*s - 2*s - 4. What is the nearest to c in s, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 563\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14) - (-208)\/56. Suppose -3*i - l + 50 = -9, -5*i = o*l - 96. Calculate the highest common factor of 8 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328 - 428 = -42*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - (-1 + -1 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2738 is divided by 43.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518 - 160 = -113*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008382854 to 7 dps.\nAnswer: -0.0000838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -13 + 3. Let f(b) = 18*b**3 + 664*b**2 - 76*b - 66. Let v be f(-37). Calculate the greatest common divisor of g and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20938 rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 259 + -248. Suppose -l - 14494 = -14*g + n*g, 0 = 5*g - 3*l - 24158. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 665 and 466242.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22222551 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78099 + 119366. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3 - l**2 - 3. Let h(a) = 6*a**2. Give p(h(q)).\nAnswer: -36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 4*c**2 - 4*c. Determine g(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from {i: 1, w: 1, u: 1, r: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11237?\nAnswer: 17, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 1. Let l = -2\/89 + -81\/356. Which is the smallest value? (a) -2 (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -19*n**6\/360 - 5*n**5\/24 - 5*n**4\/8 - 17*n**2. Let k(x) be the second derivative of l(x). What is the units digit of k(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-33)\/(9\/(-3)) - 1. Let x = k - 4. Let v be (x - 1)*11\/(-44). Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 56 - 106 + g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3275 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0293091428 rounded to five dps?\nAnswer: -0.02931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1, 66, 5, 190 in decreasing order.\nAnswer: 190, 66, 5, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*(2 - (-36)\/(-16)). Suppose j*x = -5*y + 1800004, 2*y + 393473 = 4*x + 1113465. What is y rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*r = -219*r + 2*v, -r = -3*v - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4861.8 rounded to the nearest one hundred?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 p, and 1 s when three letters picked without replacement from {s: 2, b: 1, p: 6, o: 1, v: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 29. Let s = 7 + -4. Suppose j - 3*l - 19 = 0, -2*l - z + 76 = s*j. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 994 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 10522558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -502103 (base 6) in base 3?\nAnswer: -1222222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -352, -1384, -3096, -5482, -8536, -12252, -16624?\n\"Answer: h**3 - 346*h**2 - h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 11)\/((-6)\/30). Calculate the highest common divisor of w and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h*l**3 + 50*h*l**2 - 160*h*l - h*o**3 + 2*h*o**2 + l**2*o**3 - l*o**3 wrt l.\nAnswer: -6*h*l + 100*h + 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5900*p**3 - 8 - 2960*p**3 - 2964*p**3 + 11 - 3.\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 2:30 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 461 = 6*a + g, -a = 5*g - 97. Calculate the lowest common multiple of 7 and a.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 218, -5, -20, -2, 14 in decreasing order.\nAnswer: 218, 14, -2, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1738*j**3 + 7*j**2 + 708*j + 42. Let b(z) = -869*z**3 - 3*z**2 - 354*z - 18. Let d(k) = -7*b(k) - 3*f(k). Find the second derivative of d(w) wrt w.\nAnswer: 5214*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33464.2 to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4777 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 127348900 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (546*y**4 - 194*y**4 + 490*y**4)*(2*y - 1 + 1) + 3*y**2 - 3*y**2 + 6*y**5.\nAnswer: 1690*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.063 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**5\/60 + 3*b**4\/8 + 11*b**3\/6 - 2*b**2. Let q be i(-8). Suppose -g = -q*g. Solve g = -c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/14085 and 36\/295?\nAnswer: 831015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/5 of a week?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2820)\/(-188)*2\/(-35)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*j - 34 = 0, -2*f + 5*f - 36 = 4*j. What is the remainder when 13 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n = 52*n + 78 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/14*(-122)\/4514*-518.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.168554 to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*n - 20 = 0, 2*s - 4*n - 2 = 26. Let h(t) = 4 + 5 + t - 4. Calculate the lowest common multiple of s and h(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o + 10. Let f(s) = 7*s + 64. Let h(g) = -2*g - 22. Let d(n) = 6*f(n) + 17*h(n). What is 6*a(j) - 5*d(j)?\nAnswer: 2*j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -2*x - 20. Solve 0 = 5*b - 3*o - 15 + 45, x*o = 5*b + 40 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**5 + 3*j**3 - 10407*j.\nAnswer: 40*j**3 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 386756520 a multiple of 1273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -14. Let w be (-299)\/(-52) + 6\/f. Let i(r) = 2 - w*r - 3*r**3 + 2*r**3 + 7*r**2 - 2*r. Give i(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*p - 53 + 53)*(4*p**2 + 0*p + 0*p) to the form a*p**2 + y*p + c + l*p**3 and give l.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 7268*r + 41040792.\nAnswer: -4*(r - 4238)*(r + 2421)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114*x**6 + 252*x**2 wrt x?\nAnswer: 13680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 11*h + 28. Let t be (13\/2)\/((-4)\/(-8)). Let n be z(t). Suppose 10*q - 12*q = -n. Solve i - 5 + q = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872)*-2 + sqrt(1872))*5 + sqrt(1872) - sqrt(1872))**2*2.\nAnswer: 93600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/574277 (b) 1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 + -11)\/(-1 + -2 + 2). Suppose -t*i + 540 = 12*i. What is the remainder when 71 is divided by i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(80)*4 - (sqrt(10) + -2*sqrt(10)*2)\/sqrt(2))**2.\nAnswer: 6125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 - 6*y + 5. What is the remainder when r(6) is divided by 8\/(-3 + 1) + (31 - 15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127364 + 5659 = 33*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**5\/60 - h**4\/24 - h**3\/6 - 2*h**2. Let s(u) = 0*u**2 - 331 + 332 - 4*u + 0*u**2 - 2*u**2. Determine -4*i(t) + s(t).\nAnswer: 2*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 0*f - 9*t = -7*t - 18, -5*t = -7*f + 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 153632 and 112?\nAnswer: 1075424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198 - 100 - 98 + 25*n**3.\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002702 to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270)\/(-40)*16\/(-24)*2\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 17*g**3 + 4*g**3 + 7*g**3 - 4.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7956388272?\nAnswer: 2, 3, 7, 23679727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 4:15 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 19. Suppose u - 160 = -4*r + 3, k*u = 12. What is the highest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(80\/(-60))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -804*s**3 + 40*s - 779*s**3 + 2388*s**3 - 803*s**3.\nAnswer: 2*s**3 + 40*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 4 + 3*c**3 + 10*c**4 - 9*c**4 - 2*c**3 to the form t*c + i + w*c**3 + q*c**4 + m*c**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 25, -x - 3*i = 2*x - 4212. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-102)\/(-24)*3 + -13. What is the second smallest value in -4, -2\/9, -0.15, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 162, -41, 5 in descending order.\nAnswer: 162, 5, 4, -3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -20. Let g be (-4)\/(-6)*11\/((-110)\/30). Sort h, 5, g in decreasing order.\nAnswer: 5, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -3 - (-24)\/(-3). Let r = q + 7. Let t(f) = 8*f**2 + f - 1. Calculate t(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -43. Let t be (-2)\/(-6) + (-290)\/15. Let z = t + p. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 13 (b) 0.5 (c) 2\/11 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -l - a + 3*a, 0 = 5*a - 15. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 20 + (-18 - -61).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) - (sqrt(24)\/sqrt(4))\/sqrt(3)) - sqrt(24)\/((sqrt(960) + sqrt(60))\/sqrt(5)).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/40832 and 67\/10?\nAnswer: 204160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*m - 288, -m + 146 = m - 2*a. Suppose 66 = 2*h + 8. Let t = m - h. Is t a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n - 2. Let v(m) = m. Let k(b) = u(b) + 4*v(b). Determine k(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37341718?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 5*s**2 - 7. Let d be q(5). Let p be (3\/(-27))\/(d\/6). Suppose 5*c = j + 20 + 3, 0 = 5*j - 10. What is the second smallest value in p, c, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 7*m**2 - m + 6. Let p be t(7). Let y(x) = 2*x + 4. Let k be y(-3). Let f = p - k. Let q(v) = 7*v. Calculate q(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 517 = 17*q - 10*q + 40*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.9 + -4.9. Which is the second biggest value? (a) r (b) 15 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19855*a*v**3 + a*v**2 + 143762*a + 3*v**3 + 4*v wrt v.\nAnswer: 119130*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from vvvvlvdvllvvdvvvv.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**3\/2 + 17*l. Let v(z) be the third derivative of z**5\/60 - 2*z**2. Calculate o(v(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 40*n + 6. Let y be w(0). Solve 2*p + 2*g - y = 5*g, 0 = 4*p - g - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -591 in 8, 5, -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 736*f - 155. Let s(h) = 184*h - 38. Determine 3*p(w) - 13*s(w).\nAnswer: -184*w + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + p - 4*p - 15 = 0, -4*f + 5*p + 21 = 0. Suppose 5*v + f*l = 493 + 899, 0 = -5*v - 5*l + 1390. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60 or 8840\/151?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**2 + 1680*b + 5013 = 0.\nAnswer: -557, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgqqqggbbqbqqg. Give prob of picking 2 q and 1 g.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -314, -1260, -2818, -4976, -7722?\nAnswer: -11044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, -317, -907, -1753, -2867, -4261?\nAnswer: -5947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10361742 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190 and 11733070.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.1 - 12.5. Which is the nearest to 1? (a) -37 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-42)\/27 - (-1)\/(-3) and (-477)\/12*(-4)\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 44 and 15.\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.67213 micrograms in milligrams?\nAnswer: 0.09167213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330 and 105765.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5444\/(-36) - -4 - (-6)\/27. Let l(b) = -296*b**3. Let z be l(-1). Let v = i + z. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, q: 1, x: 5, t: 1}. Give prob of picking 1 t and 1 x.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27956 less than -8.4?\nAnswer: -27964.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (26\/(-2) - -2). Let z be (3*(-40)\/l + 0)*-1. Solve 0 + z = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.007 times -6?\nAnswer: 12.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, -47, -2, 25, 4 in decreasing order.\nAnswer: 25, 9, 4, 0, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*t + 18. Let i be (54 - 0\/1)*48\/72. Let j = i + t. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 784*a - 33021 = -439*a for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (83 - 6*x**2 + 7*x**2 - 187)*(5*x**2 - 4*x**2 - 2*x**2 - 2*x) in the form n*x**2 + i*x**3 + t*x + f*x**4 + r and give n.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 - -147. Suppose -m + 22*w - 20*w + 640 = 0, 1279 = 2*m - 3*w. What is the remainder when m is divided by r?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 i, and 2 v when four letters picked without replacement from ikvibikizbviz?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29029.3 rounded to the nearest ten?\nAnswer: 29030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 399060851 to the power of 1\/2, to the nearest integer?\nAnswer: 19977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 6:49 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7ea47f + 10?\nAnswer: 7ea48f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 10*q**2 + 51*q + 40. What is the remainder when y(-14) is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 12) to base 4.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + 69*d**2 + 34*d + 4. Calculate b(-34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 4*t + 5. Let m be x(-5). Solve m = -0*n + n - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 13*w**2 + 11*w + 38. Let h be n(14). Which is the second biggest value? (a) -0.2 (b) h (c) 0.3 (d) 102 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(5\/4))**25*b**(5\/11)*b\/b**23)**(-3\/5) assuming b is positive.\nAnswer: b**(-1281\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 2*n**3 - 5*n**3)*(-3 - 4 + 5) + 80*n**3 + 402*n**3 - 937*n**3 + 99 + 407*n**3.\nAnswer: -44*n**3 + 99","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2 + j + 55. Let w be y(0). Let k = 29 + w. Let s = k - 70. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2 - 1822*y + 3636 = 0. Calculate y.\nAnswer: 2, 909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -0*i + 20856. Suppose i + 10428 = -4*l. Let t = l - -5835. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-8))\/1 - 7152\/(-2112). Is 4 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -r + 3*s + 4, 15 = 3*s. Let q = 181 + r. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -143956391.00000003 - -143956392. Let v = -1 + u. What is v rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 - 4*m. Let l(b) = -b. Let x(o) = 4*l(o) - s(o). Let k(d) be the third derivative of -d**5\/15 + 2*d**2. Calculate k(x(g)).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3910327?\nAnswer: 613, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3532 + 0.3532. Sort f, -3\/20, -2\/3, 0.02.\nAnswer: f, -2\/3, -3\/20, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -58 + 5?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/8 - 2135243*j\/4 - 4559262669049\/8.\nAnswer: -(j + 2135243)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*w + 186 = 0, w = -2*t - 28 + 230. Calculate the least common multiple of (-45)\/((-2)\/6*t\/22) and (-22)\/(-6)*(-3 - -12).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 divided by 3?\nAnswer: -263\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -50*r - 2. Suppose 5*u + 6 = 2*d - 18, 2*u = 2*d - 12. Let o be j(d). Let z = o + 167. What is the remainder when z is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-40)*-3)\/((-9)\/(-30)*2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((3390\/12)\/(-1 - -3))\/((-1)\/(-60)).\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + k + 215. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*d + 23*d - 25*d + 11*d**3 + 3*d**3 + 1 + 23*d in the form t*d**3 + b + p*d + q*d**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*k + 5*k**2 + 22*k - 13*k - k**4 + k**3 to r*k + t*k**3 + j*k**4 + a + c*k**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -23a631 (base 12) to base 10\nAnswer: -578053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-94)\/(-1081) - (-80)\/97704*-120)\/(3\/9).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 5:45 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 15*s - 17. Let q be h(-12). Let p = 24 - q. Suppose -d - 27 = -2*m, 3*m + p*d + 14 = 2*m. Solve a - 5*f - m = 0, 2*f + 3 + 3 = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42, -66, -76, -66, -30, 38, 144?\n\"Answer: t**3 + t**2 - 34*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*v**2 + 3*v + 2306057 + 186*v**2 - 2306057 - 3*v - 372*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*o - 2. Let w = o + 0. Solve 0 = -2*i + l - 12, -5*i - 20 - 16 = -w*l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/7 + 8\/(-21). Let d = -275 - -258. Which is smaller: d or p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40*6\/960*-56?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -27 (b) 4 (c) -141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + r**2)*((10 - 27 + 13)*(-2 + 2 + 2*r) + (3*r - 5*r + r)*(5 + 1 + 0)).\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 4. Suppose 2*i - 9 = -3*u - 1, 2*u + 3*i - 12 = 0. Solve 2*t = 8, u = d + 3*t - 4*t + o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-324)\/(-28) + (3 - 7) and (4\/30)\/((-3)\/18)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -617 + 617. Factor 1\/5*i - 3\/5*i**3 + 2\/5*i**4 + 0 + f*i**2.\nAnswer: i*(i - 1)**2*(2*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a gram in milligrams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -4, 42 in increasing order.\nAnswer: -4, -3, -1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 3*j - 54, -5*a - 21*j + 1 = -20*j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 + 153*j + 96. What is v(40)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Let d(g) = 6*g + 4. Let v(h) = 2*d(h) - 10*s(h). Let l(u) = -19*u**2 + 1. Let a be l(1). Let i be (a\/(-4))\/((-3)\/4). Give v(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*f = 0. Suppose d = -f*d - 4. Let p(k) = 3*k**2 + 2*k**2 + 3*k + k**3 + 1 - 3. Determine p(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -0.8. What is the second smallest value in -1, p, 0.4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjevozeoz. Give prob of sequence vj.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43\/28 + -9\/7. Let l be 3\/((-80)\/(-26) + (-2)\/26). Which is smaller: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 9. Suppose -10*v = -6*v - f. Let y = 2.061 + -0.061. Which is the nearest to v? (a) y (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v**2 + 2*v - 2. Let r(h) = 35*h**2 - 5*h + 3. Let k(y) = 7706*y + 17*y**2 + 0 + 2 - 7709*y. Let d(l) = 5*k(l) - 2*r(l). Determine 2*d(g) + 5*w(g).\nAnswer: -5*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -101010000001111?\nAnswer: 101010000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(2 - 4\/1). Let y(s) = -6*s**3 + 2*s**2 - 2*s + 1. Let o be y(1). Let v(c) = c**3 + 5*c**2 + 3. Let d be v(o). Solve 0 = -w - m + d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 417915824 divided by -104478956\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 33.7632, -2\/37.\nAnswer: -2\/37, 4\/7, 33.7632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/(-4))\/(5\/(-10)). Let d be (-2)\/b - 63\/(-49). Is -1\/5 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -1054?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkwlckxw. What is prob of sequence kw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 - 1 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1430892 and 158988?\nAnswer: 1430892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) + -1)*-3) + -3 + sqrt(17) + 1 - (5*(0 + sqrt(153)))**2 - (-3*(0 + sqrt(153)) + (sqrt(153) - (-3*sqrt(153) + 4)))**2.\nAnswer: -3999 + 29*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 50*w - 25. Does 12 divide x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33852, 127297, 280350, 493017, 765304?\nAnswer: 1097217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) - ((sqrt(80)\/sqrt(4))**2 + -3).\nAnswer: -17 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 + 2. Let a = 24 + -20. Does 18 divide q(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 10*j - 10. Let b be p(-7). Let g = b - 6. What is the third derivative of -m - m**2 + 6*m - g*m + 7*m**5 wrt m?\nAnswer: 420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4657*g. Let s(j) = 12*j - 19. Give z(s(b)).\nAnswer: 55884*b - 88483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*z, 2*w - z + 302 = 983. Let n = w - 5718\/17. Calculate the common denominator of 63\/2 and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-9)*(-324)\/36.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1288.\nAnswer: 1\/1288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdtr when four letters picked without replacement from odtardttdttrt.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1138400906 to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 417 + 10?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*f**2 - 222*f + 193 + 558 - 390*f**2 + 196*f**2 + 434 = 0 for f.\nAnswer: -79, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -7237\/80, -0.06 in decreasing order.\nAnswer: -0.06, -1\/4, -7237\/80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25932.7 - -28372. Let k = b - 2300. Round k to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8431.999992186 + -8432. What is i rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269, -1152, -2827, -5468, -9249?\nAnswer: -14344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 187298, 187315, 187342, 187379, 187426, 187483?\n\"Answer: 5*q**2 + 2*q + 187291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {u: 3, p: 2, x: 2, e: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 207.7 + -217. Let h = -9 - k. Which is the smallest value? (a) -4 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9229*k - 2895. Is j(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*b = -42, 4*p - 4 = 5*b + 3. Suppose 5*d = -4*i + 112, -3*i - 25 = 4*d - 110. Let g = i + p. Calculate the remainder when 60 is divided by g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3557 is divided by 1180?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 10:01 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c - 336. Let w be y(42). Suppose 12 = n + 3*n. Let t be (-42)\/4*90\/(-135). Solve n*a + 2 + t = w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -83*f**3 - 11*f**2 + 17*f - 18. Is 25 a factor of j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -182\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let x(j) be the third derivative of j**5\/6 + 7*j**2. What is v(x(t))?\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2336 and 2263?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423253 a multiple of 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -4. Let b(d) = 2 - j - 1 + 3*d. Let m = -13 + 12. Let p(c) = -c + 1. Determine m*b(g) - p(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + k = -5, 0*j - 4*j + 20 = -4*k. Suppose -25*l + 2*w - 5 = -24*l, 0 = 2*w - 10. Let h = 16 + -16. Solve n - 3*z + 4 = 0, h*z - l*z = j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -14 - -9) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 4:51 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 75644460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - -531503013?\nAnswer: 531503033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, 416, 650, 896, 1154?\nAnswer: 1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 1 - (5 + 4). Let s(y) = y**3 + 7*y**2 - y - 8. Let t be s(g). What is the remainder when (-2 + -1)\/t + 14 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*b - b. Let i be (b - (3 + 2))*-2. Let g = 33 - i. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 583410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -814 + 820. Solve -40 = 2*j + p*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*s = -102*s + 2. Suppose s*z = 6*z - 3*n - 373, -z = 5*n - 99. List the prime factors of z.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27113401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*z**2 - 11*z**3 + 4*z**2 + 4*z + z**4 - 13*z**3 + 23*z**3 + 1 - 3*z to the form o*z**2 + u + f*z**4 + v*z**3 + d*z and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 10 = 0, 0*z = -n + 2*z + 4. Let l = 2 - 1. Suppose -2*y + 4*j + 10 = n, -2*j = -3*y + 22 + l. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22335*r = 22338*r + 2 - 5, -5*k = -5*r + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 - -731\/10. Let f = -7\/10 + t. Which is the biggest value? (a) f (b) 5 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16049 - 222901 - 205614 - 27465 = 6841*g for g.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 21 = 3*a - 0*a, -5*u - 23 = a. Let p(k) = -1262499*k**2 + k - 6. Let m be p(a). What is m rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6153?\nAnswer: 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260704 is divided by 46?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**4 - 7*l**3 + 7*l**2 + 29*l. Let k(r) = r**4 + 4*r**3 - 4*r**2 - 15*r. Let a(h) = 7*k(h) + 4*v(h). Find the second derivative of a(j) wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**3*s**3 + 353*n**3*s + 1891*s**3 wrt n?\nAnswer: -3*n**2*s**3 + 1059*n**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = -9*s - 31*s + 402 - 3402 for s.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 344 = 348. What is the second derivative of -3*d**3 - d**3 - 13*d**3 + i*d**2 - 134*d - 2*d**2 wrt d?\nAnswer: -102*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 920104992 to the nearest integer?\nAnswer: 30333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 16) to base 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 9924 + 48*n - 9924.\nAnswer: 45*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*l**5 - 188*l**3 + 3108*l wrt l?\nAnswer: 100*l**3 - 1128*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23488351 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, -3, -9 in increasing order.\nAnswer: -19, -9, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 822 and -16.\nAnswer: -13152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 6*s + 8*s - 3 - 2*s - s to the form p*s + v and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -69*k + 1. Let n be w(-1). Let u = n - 74. Which is the closest to 3.2? (a) u (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {s: 2, t: 4, b: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 283, -5, 5, 4.\nAnswer: -5, 4, 5, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = f, 0 = -2*f - 2*r + 5*r + 21. Let x be (-12)\/f*(-6)\/8. Let c be 4 - -6 - -3 - 0. Solve 2*y + x*k = 7*k, -5*y - 3*k = -c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 441*u - 4413. What is h(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.14 + 61.14. Let j = m - 59.999998. Round j to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**3 - 150*u**2 + 929*u + 16. Calculate o(13).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181929237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 8*y**2 - y - 3. Let u be v(-8). Suppose -5*t + u = -0*t. Suppose -2*a - 13 + t = 0. Let s(w) = w**3 + 6*w**2 - w - 2. What is s(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -1 - 4 - (-21 + 27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, m: 3, n: 2, r: 4, k: 2, v: 2}. What is prob of picking 1 n and 1 v?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3879 + -0.1?\nAnswer: -3879.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.257 at most 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 5941 - 2*u - 12454.\nAnswer: -4*u - 18395","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.48, -805.93, -1, 0.3?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -9*v - 2. Suppose -w = q - 1, 5*w - 2*q + 15 = 6. Let y be f(w). Suppose -b = -y - 1. Calculate the lowest common multiple of b and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 39384?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n = -19*n - y - 17, -4*y - 24 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.353535457 rounded to 3 decimal places?\nAnswer: 2.354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 34 = -66. Let c = 374 + -348. Let w be ((-6)\/(-9) + 0)\/(c\/195). Solve 2*f = w*v - i, 0 = 3*v + v + 3*f + 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 59. Let u(f) = 0 + 3*f + f + 7*f + 15 + f**2. Is 2 a factor of u(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (8 - (-2 - -15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + -1)\/(6\/(-33))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0.3. Let x = 0.068 - -0.032. Which is bigger: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 3*x - 8 = n, 2*x + 8 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 187*u - 5472. What is c(-38)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -444481710*c**3*j**2 - 1393*c**3*j - 1069*c**3 - 2*c**2 wrt j?\nAnswer: -888963420*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5742 + 5742. Let u(c) be the third derivative of 1\/12*c**4 - 21*c**2 + 0 + s*c + 1\/2*c**3 - 1\/20*c**5. Calculate u(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 50 = -21*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6146721 millimeters?\nAnswer: 614672.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 8. Let x be s(6). Suppose -x*b + 0*b + 118 = 0. Let w = -5 + b. Calculate the highest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 9*k - 4*k + 20, 0 = 2*n + 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -4, -5, 1 in descending order.\nAnswer: 1, -4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 13. Let p be (-1)\/(-4) - 58\/104. Which is smaller: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194 - 186. Solve 3*z = m*z - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.17, 0.5, -2, 0.1, 33?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + 37. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143884 is divided by 272?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -727400 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 772 or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46, -20, 42, 158, 346, 624, 1010, 1522?\n\"Answer: 3*o**3 + 5*o - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, 75, 287, 719, 1449, 2555, 4115, 6207?\n\"Answer: 13*a**3 - 7*a**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -120*s**2 + 1142*s - 125377 wrt s?\nAnswer: -240*s + 1142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*k**4 + 43*k**3 - 10*k - 42*k**3 + 8*k + (9*k**3 - 17*k**3 - 15*k**3)*(-6*k + 2*k - k) as g*k**4 + n + r*k + s*k**3 + x*k**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3307172720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3316)\/(-24) - 12\/72 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -125, -122, -119, -116?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61494 is divided by 976.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*l - 65*l - 4*f = -5, -5*f = -3*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + (sqrt(1700) + 0)*-6))**2 + 1.\nAnswer: 979201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 22*m = 116593 + 109941. List the prime factors of m.\nAnswer: 2, 7, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*k**5 - 11*k**4 + 11*k**4 + 22*k wrt k?\nAnswer: 520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 332960267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 244*p - 369. Determine k(3).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 = -3. Suppose 21*n - 25*n + 8 = 0. Find the first derivative of -8*y**a + 11 - 8*y**n + 2*y**2 wrt y.\nAnswer: -28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 666.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:11 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3, -0.3, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1. Let r be -18*((-2)\/4 - u). Suppose -4*l + l = -r. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = -2*m + 1, -59 = -3*m - 4*n. Let l = m + -12. Let h(s) = 4*s**2 + 6*s. Let t(r) = r**2 + r. Determine l*h(x) - 6*t(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 385847614 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 3:27 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k = -22*k - 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 0.3788118\nAnswer: -0.026516826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 8724981*f - 61074720.\nAnswer: -3*(f - 2908320)*(f - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-2)\/5 + 1). Suppose z*j - 2*j - 360 = 0. Suppose 9*x - 3*x = 120. What is the greatest common factor of j and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**9*s*s**20)\/(s*s*s\/(s**(5\/11)*s)*(s**19\/s)\/s))**(-3\/37) assuming s is positive.\nAnswer: s**(-378\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 157394 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**4 - 5*h**2 + 20*h**2 + 2*h**3 - 2 + h**3 - 9*h - 16*h**2 as y*h + i*h**3 + f*h**4 + q + d*h**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -245 in -2\/9, 14, 0.08, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -m - 2 - 6, 5*m - 8 = -4*b. Let h(y) = -2*y + 2. Let p be h(-1). Suppose 44 = p*u - 8. Solve -g + 2*t = -2*g - u, -b*t - 25 = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.32 + 0.02. Let s = 0.12 - -6.88. Let j = s - 8. What is the nearest to j in -5\/3, n, 0?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -31 (c) -5 (d) 472\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12018, 52272, 120762, 217488, 342450?\nAnswer: 495648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, m: 4, b: 7}. Give prob of picking 1 b, 2 m, and 1 g.\nAnswer: 49\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1013 (base 5) to base 15\nAnswer: 8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4007.374 and -0.08.\nAnswer: -4007.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1786 - 914?\nAnswer: -259a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 170175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 31*t**2 + 2*t - 49. Let g(q) = -22*q - 13. Let o be g(-2). Let d be k(o). Solve -1 + d = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/4, 0.2909, -1, 1, -3, 0?\nAnswer: 0.2909","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 6221984*z + 18665934.\nAnswer: 2*(z - 3110989)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7347361 + 63802\nAnswer: 7411163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/10*(2 - 0))\/(2\/(-20)). Solve -48 = -10*d - f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1999653 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-27)*6\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 = 0, 2*a + 2*g + 5 = g. Let n(o) = o - 4. Let f(x) = -1. Give a*f(i) + n(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19555 or -12892?\nAnswer: -12892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -828 (b) -4 (c) 92\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**3 - 76232*d**2 + 10895036*d - 10818808 = 0.\nAnswer: 1, 143, 18914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 9*m**2 - 11*m**2 - 8 + 3*m**2. Determine i(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 672\/(-18)*18\/(-8). Let o be (-2)\/(-11) - d\/(-22). Suppose o*q = 6*q - 16. Solve -3*a = -4*c - 2*a + q, -2*c - 5*a + 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 416024.\nAnswer: -41602.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9948*q - 25. Let l(n) = 9950*n + 30. Determine -5*l(w) - 6*z(w).\nAnswer: 9938*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 493211167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207710 - 233677 = -243*m + 755278. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -143, -496, -1053, -1820, -2803?\n\"Answer: -o**3 - 96*o**2 - 58*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/2)\/(15\/270) - 4. Let j(p) = p + 1. Let a be j(4). Put w, a, 4 in ascending order.\nAnswer: w, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b - 6. Let x(u) = -2*u + 4. Calculate -5*o(g) - 8*x(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -141, -147, -161, -189, -237, -311?\n\"Answer: -r**3 + 2*r**2 - 5*r - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97600.0042 + 97549. Let m = 54 - 3. Let u = a + m. Round u to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 27*r + 15. Let y(v) = -7*v - 4. Let d be (1\/2)\/((-12)\/96). Let z(k) = d*a(k) - 15*y(k). Let n(m) = -13*m**2. Give z(n(i)).\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -26) + 0 + 4 + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*b = -92*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126790418?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27272 - 27285. Which is the second biggest value? (a) 5 (b) -3 (c) -1\/4 (d) t (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217442634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5852 and 33908?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213730 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10435732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8653 is divided by 576?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44957841301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5192 - 845 = 21*p. Suppose 281 = 4*o - d, 3*o + 0*d = 2*d + p. Calculate the greatest common divisor of 1349 and o.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 4. Let y(w) = -w - 2. Let t(r) = -s(r) + 2*y(r). Let v(o) = -34*o**2. Calculate t(v(u)).\nAnswer: 34*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*a**3 + 20*a + 118*a**3 + 0*a - 2*a - 18*a.\nAnswer: 335*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 257661486.7 and -0.172.\nAnswer: 257661486.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 17*a**2 + 24*a + 30. Suppose -3*i - 30 = 2*h, -3*i = -5*h - 81 + 6. List the prime factors of b(h).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*i + 15, -3*i - c = -6*c + 15. Let p(m) = i*m - 3*m - 4*m + 5*m. Let v(r) = -9 + 8 + 5*r**2 + 1. Give v(p(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yupu when four letters picked without replacement from {u: 4, p: 5, m: 2, v: 4, y: 1}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81 or 10?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19287 or 19288?\nAnswer: 19288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -229111, 1\/3, -4\/3, 22, 0.4, -5?\nAnswer: -229111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11769)\/(-7) - 3\/63*6.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j = -2*p - 20, -5*p = -3*j + 22. Calculate the least common multiple of 38 and (j\/(-14))\/((-7)\/98).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34474?\nAnswer: 2, 11, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/9 - 62*m**4\/9 + 226*m**3\/9 - 274*m**2\/9 + 12*m = 0. What is m?\nAnswer: 0, 1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -13*g**6\/120 + 13*g**5\/60 + 19*g**4\/24 - g**3\/2 + g**2. Let o be c(-17). Round o to the nearest one thousand.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21761.24 and 0.35?\nAnswer: 7616.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2))**(1\/55)\/(k**1)**31)\/(((k\/(k\/((k*k**(-2))\/k)*k)*k)\/(k*k**(-3\/4)))\/((k\/((k**(4\/7)\/k)\/k*k))\/(k**(-1\/12)*k))) assuming k is positive.\nAnswer: k**(-65209\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121835\/73 + -1669. Let t = 65969 + -65967. What is the third smallest value in -2\/11, t, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/39)\/b)\/(b*b*b*b\/(b\/(b\/(b\/(((b\/(b\/(b\/(b\/b**(-6\/7))))*b)\/b*b)\/b))*b*b)*b)*b*b) assuming b is positive.\nAnswer: b**(-1663\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 4 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*w - 109*w + 3554*w**2 - 1037*w**2.\nAnswer: 2517*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 h when four letters picked without replacement from shbbhrhhr.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3971963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -167130000 to the nearest one million.\nAnswer: -167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180*h**4 + h**3 - 25*h**2 + 10109*h.\nAnswer: -2160*h**2 + 6*h - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) 1 (c) -0.3 (d) 5 (e) 249\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**3 - 5*w**2 + 46*w - 394. What is the remainder when x(7) is divided by 125?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-32))\/((-12)\/(-1104)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*261\/(-5916)*1\/(69\/(-12)).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31.7499 kilometers?\nAnswer: 31749900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -564449\/759 + 2231\/3. Are 0 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110429535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005833900 rounded to the nearest 1000000?\nAnswer: 2006000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**2 + 12. Let p(i) = -i**2 + 2. Let k = 22 - 16. Let g(w) = k*o(w) - 34*p(w). What is the first derivative of g(q) wrt q?\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3817, -7632, -11445, -15256?\nAnswer: -19065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 541572609 to the power of 1\/2, to the nearest integer?\nAnswer: 23272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2 + 8*k - 6 + 4 - 4*k + 6. Let c be v(-2). Let r = c - -67. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40966781.\nAnswer: 40966781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 69\/2 of a gram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 33*g**2 + 99*g - 33. Let q(i) = i**2. What is d(q(y))?\nAnswer: 33*y**4 + 99*y**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12652371?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/11 + (-26)\/(-143). Sort -0.09, -2, s in descending order.\nAnswer: s, -0.09, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/34524 and 34\/94941.\nAnswer: 379764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -13. Let m = -9.13 + 0.53. Let s = m + c. What is s rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**4\/12 + 2*r + 303. Let f(p) = 7*p**2 + 3. Determine -f(g) - 5*s(g).\nAnswer: -2*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 11. Let a = 7 - q. Suppose 5*m = -5*g - 0*m + 5, -m = a. Calculate the greatest common divisor of g and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64080\/(-124600)*1*15.\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.2312601 and 111.97594.\nAnswer: 114.2072001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001853343 to the power of 1\/2, to the nearest integer?\nAnswer: 31652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5342382 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**4 + 28*s**3 - 468*s**2 + 1620*s - 1728 = 0. What is s?\nAnswer: -16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/464735 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 2514091.\nAnswer: -4, 0, 2514091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -1\/31, -3, 3\/4?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11558220787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/2 - 19*w**2 + 361*w\/2.\nAnswer: w*(w - 19)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1015776 = 58*j + 14*j. Is (-1)\/((-12)\/j)*(-2 + -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 69833.5ml?\nAnswer: 69.8335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/5 - 3088*h\/5 - 40320.\nAnswer: -4*(h + 72)*(h + 700)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -16. Let c be (-5)\/(t\/9) + 2. Suppose c*g + 2*j - 15 = 5*j, 0 = -4*g - 4*j + 12. Solve 4*b - b = -g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1081257?\nAnswer: 3, 439, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7904 + -424.2096. Is 0.4 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 167, 679, 1531, 2723?\n\"Answer: 170*w**2 + 2*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 b when four letters picked without replacement from kwbuiuwkibwikukw?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1349286628 and 32?\nAnswer: 10794293024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172772279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 336.2946km?\nAnswer: 336294600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 6 + 12 - 18.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/212?\nAnswer: -1\/212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from {t: 8, n: 1, c: 10}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/9 + 1 + (-4 - -2). Let v = 4.8 + -9.2. Let o = v + 5.4. What is the second smallest value in o, 4, c, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 828614.6 days to minutes.\nAnswer: 1193205024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 0, 2*s + 6 = 3*d + s. Let c be -1 - -1 - d - 0. Is 19*(c - (-2 - 1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50058 (base 13) to base 11\nAnswer: -9838a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8789953 days in hours?\nAnswer: 21.0958872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 + -94. Let b be -34 + 32 - (-4 + 1). Solve -8 = -s*c + 2*z, -6 + b = -2*c - z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/11))**(12\/11)*(t\/(t*t*t**(1\/10)*t))\/(t\/(t**(2\/11)*t)) assuming t is positive.\nAnswer: t**(-2201\/1210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 26*c**2 + 33*c + 13. Let p be r(-30). Let s = 8250 - p. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -9*u**5\/20 - 5*u**4\/12 + 3*u**3\/2 + u**2\/2 - 217*u. What is the hundreds digit of p(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + 1 + 0 + 1056*o in the form d*o + b and give d.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**7\/21 - a**5\/5 - 7*a**4\/12 + 342*a**3 - 80*a + 3. What is the second derivative of f(c) wrt c?\nAnswer: -40*c**3 - 24*c - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*5\/56)\/((-70)\/(-147))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*sqrt(28) + -3.\nAnswer: -3 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/4 - -3. Let q = 5.3 + -4.8. What is the nearest to -2\/7 in 1\/32, m, q?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -1630.6\nAnswer: 4891.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 6*a = -36, -50*y = -52*y + a - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1132*z + 4255 - 30291 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 + 6*j - 6. Let o be w(2). Let z be -3*6\/(36\/o). Solve z*x = -10, -2*x + 11 = -3*f - 0*x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 17042868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**9\/u)**19\/(u**(1\/5)*u*u*u**(-11)) assuming u is positive.\nAnswer: u**(804\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.10092 + -0.1. Round x to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/15 or -547?\nAnswer: -547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 6*o - 18. Let i = 5979 - 5971. Calculate the least common multiple of i and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.44 to 1 dp.\nAnswer: 27.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from {z: 10, j: 8, w: 1}?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266 and 30210.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54 - (-67 + 177)) + 55?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-7)\/686)\/(2\/14)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154)\/33 - (462\/(-11))\/(-7).\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10628.7 and 63.\nAnswer: 10691.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1414418 and 1468.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.7939982 years?\nAnswer: 0.007939982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + -4*(sqrt(228)*4 + sqrt(228) - sqrt(228)) + -2*(sqrt(228) + sqrt(228)*-3) + sqrt(228))\/((sqrt(72) + -1*sqrt(72)*-5)\/sqrt(6)*-6).\nAnswer: 5*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -61a09?\nAnswer: 61a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 1 = -3*r + 5*r, 5*r + 5*m - 5 = 0. Sort 3, 0, r in ascending order.\nAnswer: 0, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**4 + l**2 + 11234420*l - 5267207 wrt l?\nAnswer: 4*l**3 + 2*l + 11234420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 239*382\/6 + 138\/207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5, 13, 25, 41, 61, 85?\n\"Answer: 2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526*i - 103 = 525*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/3, -1\/6, 4, 13, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.46 - -0.54. Let m = r - 42. Let u = -10 - m. Is u smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1033685.3107 - 254.3107. Let w = y - 1033488.00162. Let k = w - -57. What is k rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2513741*b**4 + 17068375*b**2 wrt b.\nAnswer: -60329784*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -111011101000 (base 2) to base 10\nAnswer: -3816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 1.47, -0.5, 5\/2, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(30\/12) + 196\/(-10). Let g = -46 + 111. Let b = g - i. What are the prime factors of b?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30946.928 - -30938.9564852. Let k = s + 5.67151521. Let r = 2.3 + k. Round r to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4.778 (b) -1 (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222110121 (base 3) to base 4.\nAnswer: 21201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.403243 weeks in seconds?\nAnswer: 5082281.3664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6086 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -223323341 (base 5) to base 9\nAnswer: -1776468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4\/t)\/(t*t**1*t))\/(t\/t**2)**(-6\/7) assuming t is positive.\nAnswer: t**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/15 + 206*b**3\/15 - 508*b**2\/5 + 1792*b\/15 + 704\/3 = 0. What is b?\nAnswer: -110, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 6 - 7 + 25)*(-2*z + 2*z + z)*(0 - 3 - 1 + (-5 + 2 + 4)*(3 + 1 - 3) + 1 + 1 - 3).\nAnswer: 12*z**2 - 48*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2018*q**2 + 4. Let y(x) = 28250*x**2 - 55. Give 55*h(d) + 4*y(d).\nAnswer: 2010*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17887, -35642, -53395, -71146, -88895, -106642?\nAnswer: -124387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*sqrt(171)*2)\/(-4*(sqrt(9) + sqrt(144))).\nAnswer: -3*sqrt(19)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 14655034.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 21 - 2 - 33*j in the form m + w*j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 22*s**2 - 8*s**2.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 7:10 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -103 - 653. Suppose -559 = -3*m + 2*u, 0 = 6*m - 9*m - 3*u + 579. What is the greatest common factor of g and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -9, -2*l + 15 = 29*w - 28*w. What is the remainder when 198 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.01 - -1.01. Which is the third smallest value? (a) -2 (b) -3\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/((-60)\/(-399)) + 3\/4. Let p = a + -31. Let r = 108 + -76. Solve 7 = 2*x - 4*j + p, -4*j - r = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 5:39 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2248156 divided by 118324.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3)*60\/(-8) - (3 + 4). Is b at least -47\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 - -24. Suppose 4*q - h - 227 = 0, h - 2*h = -q + 59. Let j = n - q. Round j to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 20*o - 11. Let t be c(0). Sort 11, 2, t.\nAnswer: t, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 740 and 29339380.\nAnswer: 1085557060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -953 and 0.082 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14700 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167889 is divided by 100?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.4 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 58 (c) -2 (d) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/14 and 67\/5138.\nAnswer: 5138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 5703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*w - 60 = 0, -3*v - 5*w + 29 + 63 = 0. Let y = v - 14. Let r = 4 - 3. Solve -3*o = -r + y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 5 - 19 = -16*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(1\/6)\/s*s\/(s*s**(1\/3)) assuming s is positive.\nAnswer: s**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 16*r**2 + 17*r - 29. Let h be s(15). Suppose -b + h = l - 3, -b + 5*l = -16. Suppose 0 = -0*n - b*n + 90. Solve f = 6*f + n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.8 + 682.8. Let c = j - 682.1. Let z = c - -34. Round z to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*(-116)\/20*-5*-1. Let v = 266 + m. Let o be 0 + 3 + (14 - 17). Solve -v*k - 5 = -o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29913.\nAnswer: 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 313, 624, 1043, 1564, 2181, 2888, 3679?\nAnswer: 4548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddhdxxxdddhdd. Give prob of picking 1 x, 1 d, and 1 h.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 2*b - 2*b)*(-2 + 4 - 1)*(-2*b**2 + b**2 - 2*b**2) + 185*b**3 + 73*b**2 - 73*b**2 + 4*b to the form l*b**2 + n + p*b**3 + h*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3, -3*n = -4*c + 5*c - 49. What is the remainder when 4\/14 - c\/(-14) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -12050?\nAnswer: 12049.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11801*d = 4947*d + 5493*d - 91187 for d.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 3*t)*(2 - 1 - 2)*(0*t + t**2 - 3*t + 2*t) to the form y*t**3 + f*t**2 + q + r*t and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**3 - 2*x + 6*x**3 - 1368 + 1352.\nAnswer: 11*x**3 - 2*x - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 46*q + 467. List the prime factors of r(14).\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 649.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 1, z: 1, n: 2, y: 2, v: 1}. What is prob of picking 1 y, 1 z, and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 2243?\nAnswer: 2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*n**3 - 3*n**2 + 0 + 9*n**2 + n**4 + 0*n**3 to the form h*n**2 + y*n**3 + d*n + c*n**4 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvvccvcnnntnnct. What is prob of picking 1 v and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*l = 117, -3*r - l + 118 = 3*l. Let a = r - 32. What is the lowest common multiple of a and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -41968, -41801, -41634?\n\"Answer: 167*n - 42135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 4 + (3 + -2*sqrt(2057) + sqrt(2057))*2 + (-3 + 2*sqrt(2057) - (sqrt(2057) + sqrt(2057) + 2 + 2 + sqrt(2057)))**2).\nAnswer: -8468 - 528*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -93. Let z = x - 43. Suppose d = 5*b - 2408, -b - z*b = -5*d - 1458. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268, 634, 1244, 2098, 3196, 4538, 6124?\nAnswer: 7954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 98*t - 5174. Let z be g(53). Solve 2*u + 4 = -4*r + 6, 4*r - z = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11810\/72)\/(-5) - 1. Let k = f + 157\/4. Find the common denominator of 1*228\/(-18) - (-12)\/(-6) and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48639177?\nAnswer: 3, 29, 62119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -424203 - -424232.00017. Let v = 29 - z. Round v to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.122 - 0.122. Let o(i) = 3*i**2 + 2*i + 1. Let d be o(-2). Suppose r - 4*u = -12, 3*u + d = -5*r + 6*u. Which is bigger: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/5 + 18177*d\/5 + 36294.\nAnswer: 3*(d + 10)*(d + 6049)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 126*w - 837 + 459 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -3. Suppose h*r - 17 - 35 = 0. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 11:59 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237024?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (37\/1)\/((-2)\/4 + 0). Let x = -33 - n. Suppose -106 = -3*y + x. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3385 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: Let t be (-304)\/(-684) + 46\/18. Let v be 6\/9*48 - -1. Suppose -v = -6*i + t. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 + -5 - 3) + 2. Suppose -4*t - 8*y + 9*y = -3580, -r*y + 3592 = 4*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**2 + 2*i**2 - 5*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 + 10 = 4*g, -3*g + 4*v = -28. Suppose 0 = -3*j - g*f + 19 - 4, 2*j = f - 1. Let x = -34 - -104\/3. Which is smaller: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/93, -0.4, 0.5.\nAnswer: -0.4, -4\/93, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnog when four letters picked without replacement from oobogooxxgxnooxoggo.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 r when three letters picked without replacement from {m: 1, i: 1, h: 11, r: 4}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + h + 1. Let o(r) = 3*r**2 - 8*r + 16. Let n(k) = 5*k**2 - 15*k + 30. Let i(q) = 6*n(q) - 11*o(q). Give -2*f(m) - i(m).\nAnswer: m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 442*a - 36. Let t(p) = -213*p + 18. Give 2*n(b) + 5*t(b).\nAnswer: -181*b + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 1, 0*o - 7 = -3*o - 5*x. Let s(t) = 2*t**3 + 7*t**2 - 5*t - 2. Let u be s(-6). What is the common denominator of 11\/18 and (-3)\/(o*(-44)\/u)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*s + 24, -d - 3*s + 6 = -4*d. Suppose 4*n = -v + d*n, -3*v + n - 7 = 0. Is 2 - (27*-3 + v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156952 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-9) + (40\/30 - 417\/27).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fofftnofooo. What is prob of sequence nft?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60776 + 1331. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -h + 31 - 35, -4*h - 5*p = -6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 + 216*l**2 + 22*l + 6. Let u(i) = i**3 + 109*i**2 + 12*i + 3. Calculate -6*b(h) + 11*u(h).\nAnswer: -h**3 - 97*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -171 - -1195\/7. What is the nearest to 1 in i, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 841 in -1\/6, 0.5, -1\/3, -6\/5, -0.16, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 33334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12800 and 371575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*l = -168*l + 42 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - -0.3. Let v be 16\/20*(-2)\/(-4). Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-24)*(-24780)\/(-1475)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v - 3*v - v - 274*v + 588*v + 34*v + (-2*v - 1 + 1)*(3 - 3 - 1).\nAnswer: 352*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 120 + -1 + (3\/(-4))\/((-153)\/(-1020)). Let y(o) = -16*o. Let g be y(4). Let u = g + j. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/9*(-1190 + -13)?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 55 = 9. Let m = f + 26. Suppose m*k - 4 = 14. Solve 0 = -k*v + v + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 23 = -4*d. Calculate the remainder when 112 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v**4 - v. Let b(k) be the first derivative of 6*k**5\/5 + 7. Let i(q) = -4*b(q) + 3*u(q). What is the second derivative of i(d) wrt d?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74334152.52 to the nearest 100000.\nAnswer: -74300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -139889\/9 - -15470. Let a = b + 73. What is the nearest to 0.1 in -4, 1\/3, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(468) + -2*(sqrt(13)*-1 - sqrt(13))**2)*-2*3 + -2.\nAnswer: -36*sqrt(13) + 622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63388 is divided by 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -3*z**4\/8 - 7*z**3\/12 + z**2\/2 - 7*z + 7. Let v(a) be the first derivative of d(a). Let v(m) = 0. Calculate m.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-588)\/(-147))\/(1\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -95226818 greater than -95226817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -160*q. Let m(k) = 159*k. What is -5*m(w) - 6*x(w)?\nAnswer: 165*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 c, and 1 s when four letters picked without replacement from cqjyycsyyyssjycjjy?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + 0*c**2 - 4*c**2)*(3*c - 6*c + 2*c + (0 - 3 + 2)*(2*c - c + c) + 0 + 0 - 2*c - 1 - 2*c + 1 + 4 + c - 4 + (-c + c + 2*c)*(1 + 3 - 3)).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 1:13 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 39*y**2 - 354*y - 100. Is g(17) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.271 + -2.271. Sort -0.044, -0.4, s in descending order.\nAnswer: s, -0.044, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 29*v - 58. Let h be t(-27). Let d be (h - -1) + -18 + 2. Which is smaller: -20 or d?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/(-10))\/((-5)\/25). Suppose -4*w - 40 = -5*s, 3*s - 6*s + 4*w + j = 0. Suppose 3*k = -4*v - 4 + 11, -4*k - s = 0. Solve -a + 15 = v*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 12*a**2 + 8*a + 2. Suppose 0 = 2*j - 4*p - 34, 2*j - p - 25 = -0*j. Determine u(j).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 36, 66, 90, 102, 96?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -256\/45 - -44\/9. Suppose 0 = 3*d - l - 38, 6*d - 2*d - 38 = -5*l. Let k be (-44)\/d - 4\/(-6). Put f, -0.1, k in descending order.\nAnswer: -0.1, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 551373520*o**5 + 3*o + 28471036?\nAnswer: 11027470400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 427*k**3 + 189*k**2 - 17. Let l(x) = -107*x**3 - 47*x**2 + 4. Let n(g) = -2*j(g) - 9*l(g). Find the third derivative of n(o) wrt o.\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p - p + 3 - 4*p**4 + 3*p + 2*p + p**2 in the form m + z*p + y*p**2 + o*p**4 + q*p**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b**3*d**2 + 3*b**3*d + 4487*b**2*d**2 - 892*b**2*d - 5*b*d**2 + 116*d wrt d?\nAnswer: -14*b**3 + 8974*b**2 - 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 5*g**2 + 5*g - 7. Calculate i(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a hour in minutes?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 510 and 425?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 54*w**2 - 2*w - 1. Let a be x(-1). Let v be -1 - a - 5*(-7)\/(-35). Is v less than -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97 - 98 - (1 - 2 - (2 + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i + i + 6*i - 5*i - 15*i**2.\nAnswer: -3*i*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31657\/10 - 3170. What is the common denominator of o and 14\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1236*j**3 - 1189*j**3 - 336*j**3.\nAnswer: -2761*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -275*d**2 - 7895*d + 15990. Let m(s) = 37*s**2 + 1128*s - 2284. Let z(w) = -2*j(w) - 15*m(w). Factor z(g).\nAnswer: -5*(g - 2)*(g + 228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(360)*-2*5)\/(-2*(4*(sqrt(128) - (sqrt(128) + sqrt(128)*-2)) - sqrt(128))).\nAnswer: 15*sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - 4*(sqrt(150)\/sqrt(3) + sqrt(50)))\/(sqrt(30)\/sqrt(3)*-2).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -12 - 4*f**2 + 4 + 9*f + f**2 + 2*f**2. Let x be d(8). Let k = 1 - 0.6. Which is the nearest to x? (a) 1\/7 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 6*a**2 + 3*a - 1. Give g(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 538 + -5920\/11. Is c smaller than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417875671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:59 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -241 - -2670\/11. Suppose 2 = s, 4*s - 114 = 3*x + s. Find the common denominator of (-8)\/x - (-101)\/18 and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2434201344 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-770)*(-418)\/8?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (46*3)\/(42\/1708)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563*a**2 - 452*a**2 + 1027*a**2.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 + -67. Let x = 66 - v. What is the least common multiple of 309 and x?\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35312, -72727, -110142, -147557, -184972?\nAnswer: -222387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -5\/2, 11697, -0.5, 0.01?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6234 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 2 = -17*a - 363. Let f(h) be the first derivative of -h**4\/4 - 17*h**3\/3 + 19*h**2\/2 + 20*h - 2. Determine f(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n - 6. Let y(t) = -14*t + 19. Let p(m) = 8*a(m) + 3*y(m). Determine p(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/(h*h*(h*h**(-5))\/h*h))\/h*h*h\/(h\/(h*h**(4\/9))))\/(h**(-2\/7)\/h*h)**(-34))**(-4\/3) assuming h is positive.\nAnswer: h**(1076\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-7) - 0\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.4 and 0.3.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 8*w + 4*o = -5, 0 = 2*o + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29621606 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16348, 32679, 49006, 65329, 81648, 97963, 114274?\n\"Answer: -2*y**2 + 16337*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -238131, -238129, -238117, -238089, -238039?\n\"Answer: g**3 - g**2 - 2*g - 238129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2)*3*(-24)\/(-80). Is c at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7887.\nAnswer: 3, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618962 is divided by 3079.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -0.3, 297644.\nAnswer: -0.3, -2\/17, 297644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1090 and 545?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a**3 + 11*a**2 - 11*a + 6. Let r(n) = 2*n**3 - 4*n**2 + 4*n - 2. Let b(j) = -3*j - 58. Let f be b(-23). Give f*r(v) + 4*p(v).\nAnswer: -6*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 1, l: 3}. Give prob of picking 1 l and 1 t.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -112521*h + 337567. Determine w(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53254 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10343044 - 78.\nAnswer: -10343122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 100769054 to the power of 1\/3, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/3))**(-9\/7)*(x*x**(-7))\/x**(-16) assuming x is positive.\nAnswer: x**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 - 43. Let j = t + -30.9999605. What is j rounded to six dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*c - 143*c + 24 = 3*n, -76 = 4*c - 5*n. Let v = 21 + 0. Sort v, 3, 0, c.\nAnswer: c, 0, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -82\/5, -15\/2?\nAnswer: -82\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14219 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + m + 4*v + 14040, 0 = -4*m - 5*v + 18720. Suppose -10*j = -6*j - m. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 77*x + 3229. Give j(-42).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2048 and 2049 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-9)*3)\/(3\/(36\/(-80)))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.909 - -1.909. Which is the biggest value? (a) x (b) 1 (c) 0.2 (d) 38\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (2 - (-88)\/90). Let p(c) be the second derivative of 0*c**3 + 0*c**2 - 1\/15*c**5 + 2*c + 0 + y*c**6 + 1\/18*c**4. Factor p(a).\nAnswer: 2*a**2*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 4*s + 0*s)*(-3 + 0 + 1) + 3362 - 3362 - 179*s.\nAnswer: -181*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -11. Suppose o = -g - 2*o + 11, l*o - 15 = -g. Solve -g*q + 2 = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 0)*(-54)\/(-180). Let j = 0 - 0.1. Let l = 2 - 5. Which is the smallest value? (a) j (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/(-2) - 1 - (-24717)\/6996 and 59\/22.\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(931) - (3*2*sqrt(931) - sqrt(931)) - -4*sqrt(1539)*2)**2.\nAnswer: 147136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 + 33 = -15*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 5\/2)*8\/12. Let a(x) = -x**2 + 5*x - 5. Let m(t) = -3*t + 3. Let d(p) = 10*p - 10. Let c(l) = -2*d(l) - 7*m(l). Give g*a(i) + 5*c(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 112*x - 1326*x + 46170 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*m = -5742, -2*l - m + 4*m = -5766. Let c = -244 + l. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 29. Suppose 0 = -5*u + 78 - i. Let p(f) = 23*f - 1. Calculate the least common multiple of u and p(1).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/56*7\/2. Suppose -4*a + r*x + 11 + 7 = 0, 28 = 5*a + 3*x. Let s(b) = -2 - a*b + 0*b + 1 + 3. Let k(y) = -y + 1. What is -3*k(d) + s(d)?\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 7:35 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -203 + 656. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 3*b**2 + 3*b**2)*(89 - 89 - 5*b**3) - 4*b**5 + 619*b**2 + 0*b**5 - 618*b**2.\nAnswer: -14*b**5 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 8 - (-169 + 184 - (-4 + 11))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -869331 divided by -2967?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 50 = -2*v, -5*n - 8*v + 43 = -5*v - 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 9) to base 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0387 and 0.9.\nAnswer: 0.03483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -54870 rounded to the nearest one thousand?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 7*a - 8. Let x be c(-10). Suppose 12 = 5*i - f - 13, 4*f + 4 = -4*i. Suppose -3*m + i*m = 2. What is the highest common factor of x and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -685 in 4, 1\/10, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 3, w: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 65 + 218 - 153.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1040164.\nAnswer: 2, 443, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 1. Let x(i) = -3*i**3 - 5*i - 5. Let w(b) = -8*b + 6. Let t be w(2). Calculate t*o(h) - 2*x(h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6235880619455 + 1.\nAnswer: 6235880619456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/40 and 79\/1764.\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 13 = 3*x, 0 = 2*n + 28 - 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2554*v - 22935. Calculate p(9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**1*g*((g*g*g*g\/g**(-18\/5)*g*g)\/g)\/g)\/(g\/(g*g*g\/g**(-2\/23))*g*g\/((g*g**(3\/14)*g)\/g)))**(-9) assuming g is positive.\nAnswer: g**(-172449\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103*b**3*t**3 + 2*b**3*t**2 + 269*b**3*t + 7*b**2*t**3 - b*t**3 - 2*b wrt t.\nAnswer: 618*b**3 + 42*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**4 - q**4 + 15*q**3 + 6*q**3 - 5*q**3 + 30*q**2 = 0. What is q?\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8)*16*(-1)\/18*90\/(-3)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1366)\/(-3415) + (-137)\/355.\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - -0.3. Let v = -1.2 + -0.2. Let t = 1.1 + v. Which is the third smallest value? (a) t (b) u (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 11:13 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2 + 8*i + 120 = 0. Calculate i.\nAnswer: -6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -h + 3*j, 5*h + 4*j - 21 = 403. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + b + 610 = 0, -4*h = -0*b + b - 1208. Calculate the lowest common multiple of 6 and h.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 2\/7, -13, 49, 0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b**3 + 2263*b**2*w**2 - b + 246*w**2 + w - 14 wrt b.\nAnswer: -9*b**2 + 4526*b*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3487.\nAnswer: 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v + 4*v - 6*v)*(0 + 4 - 2) + 2*v - 2*v - v + 25 + 39 + 2 + 2*v to the form g*v + u and give u.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/12016 and 57\/3755?\nAnswer: 60080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10069, 80014, 269583, 638500, 1246489?\n\"Answer: 9954*w**3 + 88*w**2 + 3*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/5)*i*i**(-29)\/i*i)\/(i\/(i\/(i\/((i\/i**(3\/8))\/i)))*i*(i**(-24)*i)\/i))**(3\/14) assuming i is positive.\nAnswer: i**(-741\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u = -5*g + 35, 20 = -4*u. Suppose -5 = -5*y - 0*y. Let n = g - y. Solve -5 - 3 = -n*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 60, -868, 3.21.\nAnswer: -868, -4, 1, 3.21, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - o + 8. Let z be 3\/(-9)*-1 - 22\/(-6). Suppose z*r + 0*r = 2*q, -3*r - 4*q = 0. Give w(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1272398, 1272396, 1272394?\n\"Answer: -2*m + 1272400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnqh when four letters picked without replacement from nquhqujpjnjnqp?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 44.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1934772 is divided by 1549.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/165*((-42)\/(-6) + -12). What is the second biggest value in -3, -22, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/1553 and 57\/5.\nAnswer: 7765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1282.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -254, -373, -436, -449, -418, -349, -248, -121?\n\"Answer: -o**3 + 34*o**2 - 214*o - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**5\/3 + 8*h**4\/3 - 28*h**3\/3 + 16*h**2\/3.\nAnswer: 4*h**2*(h - 1)**2*(h + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 22251*t**2 + 21*t + 20. Let w be z(-20). What is w rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:31 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/27 - ((-17846)\/3)\/((-396)\/(-1914)).\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1872) - sqrt(1872))**2 + (sqrt(13) - ((1*sqrt(52)\/sqrt(4) - sqrt(13)) + sqrt(13)))**2)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120291560 to the nearest integer?\nAnswer: 10968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 0*j**2 + 0*j**3 + 0*j**4 + 2 - 2*j + 2\/5*j**5. What is the first derivative of b(d) wrt d?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1536 - -2155. Let n be (h - (-3 - -8))*(498 - -2). Round n to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2119663 or 2119675?\nAnswer: 2119675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3323 + 124?\nAnswer: -3144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zqzzffkqfzqqfqkk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 11 + 29 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 736 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: What is 11.39 rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -5, 2.4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y - 1. Let o be v(-1). Factor 5*t**2 + o*t - 4*t**2 + 2*t**2.\nAnswer: 3*t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, 4, -16, 9 in increasing order.\nAnswer: -162, -16, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412880753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -15*q - 16. Let d(o) = 8*o + 8. Let m(c) = -5*d(c) - 2*t(c). Let s be (42\/63)\/((-2)\/15). List the prime factors of m(s).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -12) + (5 - 14) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42df + 2d?\nAnswer: 430c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000250827441 to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from gajwgfjbwajwg.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*c + 3*a, 0 = -3*a - 2*a - 15. Let i = 7 - c. Let s be (-10 + 0)*(-2)\/4. Solve -s*l = -i*l + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**4\/12 + 5*h**3\/3 - 28774*h - 2. Let r(q) be the third derivative of 5*q**4\/24 + q**2. Give 2*n(j) - 5*r(j).\nAnswer: 2*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 1. Let m(n) be the first derivative of -n**3\/3 - 2*n**2 - n + 55. Give m(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*p - 138961*u + 138956*u - 3, 3*p - 19 = 4*u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 12*b**2 - 11*b + 6. Let t be w(11). Suppose 0 = -l + x + 80, l + 4*x = t*l - 400. What is the remainder when l is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 1*106\/(-34)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19, 17, 15, 13, 11, 9?\n\"Answer: -2*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 - -3.02. Let x = 1 - 0. Let o = 1.4 - x. Which is the second biggest value? (a) i (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 d, 1 k, and 1 t when four letters picked without replacement from qkkdkkbkkdkktkkbbkkk.\nAnswer: 26\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 1:33 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -570*s**3 - 24*s**2 - 33*s + 47. Suppose 0*a - 2*a = -42. Let g be p(a). Round g to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/11*j**2 - 2\/11*j**5 + 0 + 6\/11*j**3 + 4\/11*j + 2\/11*j**4.\nAnswer: -2*j*(j - 1)**3*(j + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h + 3*h + 2*h**2 - 3 + 3*h. Let t = 363 - 359. Let x(c) = -c**2 - c + 2. What is t*x(q) + 3*p(q)?\nAnswer: 2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (279\/(-18) - -4)\/((-11)\/110). What is the highest common factor of l and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135503 - -10?\nAnswer: -135453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 5*d**2 + 4*d + 3. Let m be b(-3). Let c be (-4)\/m - (-37)\/13. Do c and 3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*y + 7*y. Let i be y\/9 + 22\/(-6). What is the tens digit of 114\/8 - i\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -y - 2656. Let v = 614 - y. Let z = -197 + v. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52285208 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*z + 6*c - 134, -259435*z - 4*c + 95 = -259434*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53865, 42136, 22589, -4776?\nAnswer: -39959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 5*k - 18*k.\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89336 by 2.\nAnswer: -44668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2858\/17 + (-40)\/340. What is the highest common factor of 1456 and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 33600*t + 3\/4*t**4 + 3240*t**2 + 87*t**3 - 192000 = 0.\nAnswer: -40, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 245*i + 9449. Let v be a(48). Let b(l) be the second derivative of -l**5\/20 - 2*l**4\/3 - 3*l**3\/2 - 4*l**2 - 4*l. Calculate b(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1944)\/(-32))\/9 + 3\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13301 - 221?\nAnswer: 13020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 4*r**2 - 4*r + 3. Let i be n(-3). Suppose 0 = 5*a + o - 914, i*o = 3*a + 9*o - 558. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22608911 to the power of 1\/2, to the nearest integer?\nAnswer: 4755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1538 + 7975 = 63*x. Suppose -4*w + 69*n - 126 = 74*n, -5*w - x = 3*n. Is w smaller than -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**2 - 6610*r - 19875 = 0. Calculate r.\nAnswer: -3, 1325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 + 17*y - 4. Give g(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 2 (c) -0.012 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*d**3 + 64*d**3 - 115*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175 - 175.1. Let u = 15.3 - 15. Which is the nearest to y? (a) -8 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 86466a + 0?\nAnswer: 86466a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/96)\/(3\/(-6)*-6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 10, 6*m - 4*f = 3*m + 31. Suppose m*q - 216 = 512. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 10*a**3 - 5*a**2 + 3*a + 196. Does 14 divide h(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480339 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 8160?\nAnswer: 815b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 4\/3, 407, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**5\/80 + n**3\/24 - n - 3. Let t(m) be the first derivative of u(m). Determine d, given that t(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 5*i - 2*i)*(-2 - 1 - 1)*(-1 - 4 + 1)*(-14*i - 17 + 17)*(-1 + 1 + 1) to o + t*i + n*i**2 and give n.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13390 - -13395. Put 4, o, 0.11, -9, 0 in descending order.\nAnswer: o, 4, 0.11, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m + 1. Let o(n) = 2*n**2. Determine o(i(d)).\nAnswer: 18*d**2 - 12*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 - 112. Let r(p) = -4*p**3 - p**2 - 3*p - 2. Let x(c) = 3*c**3 + c**2 + 2*c + 2. What is b*x(t) + 2*r(t)?\nAnswer: t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9 + -0.1. Let v = 1 - m. Put v, -0.1, 3\/2 in descending order.\nAnswer: v, 3\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2949 is divided by 1368.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4107684652.\nAnswer: 2, 53, 19375871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**3 + t**2\/2 + 2*t + 1315. Let m(j) = -2*j**2 - j - 1. Calculate -3*h(b) - 4*m(b).\nAnswer: -b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27848, -113985, -257546, -458531?\n\"Answer: -28712*i**2 - i + 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22*-0.1.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 2)*4\/4. Suppose -t*i = -8*i + 6. Solve 4*h + 3*k - 18 = -2, -i*k = -5*h - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -727, -374, -17, 344, 709?\n\"Answer: 2*q**2 + 347*q - 1076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 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: What is the units digit of 285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 7753.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62447 divided by 77?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 0*p**3 + p**3 - 3 + 10*p - 11*p**2. Let x be s(9). Solve -2*n + 4*n + j + 7 = 0, x = -n - j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -42 + 19 + 65*u + 23. Let p(r) = -2*r**2. Determine v(p(f)).\nAnswer: -130*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-13)\/(-39) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 0*z + 2*z - 6*z**2 - 3*z - z**3 - 1. Let u be q(-6). Suppose 1966432 = u*a + 216432. What is a rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.2 (b) -2 (c) 2 (d) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 - c**2 - 5*c + 12.\nAnswer: (c - 6)*(c - 2)*(c + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 941775.7 millimeters to centimeters.\nAnswer: 94177.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/(2208\/(-1380)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (((-4960)\/24)\/10)\/((-2)\/3) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 928404 and 1547340?\nAnswer: 4642020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p + 25*p**3 - 7*p + 17*p.\nAnswer: 25*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 4152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*y = -15*y + 89 - 1094 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 169902589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + -27. Let c = 41 + p. What is the biggest value in 1\/6, c, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122011002 + 0?\nAnswer: 122011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3)*d**3)\/(d*d**8)**9 assuming d is positive.\nAnswer: d**(-235\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) - (sqrt(98) + 4*(-2 + sqrt(98)) + sqrt(98))) + sqrt(98) - -2*-3*sqrt(98)) + -5)**2.\nAnswer: -420*sqrt(2) + 9809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 4:09 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c = 24. Let h be 2\/6 - (-1772)\/c. Let v = -88 + h. Calculate the greatest common divisor of v and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3767854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.071 (b) 0 (c) -0.3 (d) 0.3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -22*i**3 - 2*i**2 - 2*i + 2. Let j be r(-2). Suppose -4*q + j + 278 = -4*b, 0 = -4*q + 5*b + 450. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -5.\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 678084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 2*x**5\/3 + x**4\/3 - 23*x**3\/6 - 10*x**2. Is c(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + z + 0*z + 174800000 = 0, 4*z + 43700000 = w. What is w rounded to the nearest 1000000?\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 8. Let q(c) = -c**3 + 15*c**2 + 3*c - 35. Let j be q(15). Let o = j + -19. What is m(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 47*b - 1086. Let g be x(17). Let p(m) be the second derivative of 3*m**2 - 1\/12*m**4 + g*m + 0 + 1\/6*m**3. Determine p(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, t: 1, q: 4, l: 2}. What is prob of picking 2 q and 2 y?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.54 + -21.46. Let o = -25.2 - q. Which is the second smallest value? (a) o (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57329 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - 3*p**2 - 7*p**2 + ((-2 - 4 + 5)*(0 - 2 + 1) + 3 - 6 + 4)*(-2*p**2 + 4*p**2 + 0*p**2).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12791 = 195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2156, -6521, -13094, -21869, -32840, -46001, -61346, -78869?\n\"Answer: s**3 - 1110*s**2 - 1042*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**5\/7 - 1479*t**4\/7 - 2817*t**3\/7 + 63723*t**2\/7 + 188796*t\/7 + 17676 = 0. Calculate t.\nAnswer: -491, -6, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**5 + 400*i**4 - 1160*i**3 + 370*i**2 + 1165*i - 770 = 0.\nAnswer: -1, 1, 2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o - 2\/3*o**2 + 0.\nAnswer: -2*o**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1986*t**2 - 19*t + 78. Let d(a) = 330*a**2 - 3*a + 12. Let z(w) = -13*d(w) + 2*j(w). Let i(x) = 8*x. Determine i(z(u)).\nAnswer: -2544*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (1 - -24) - 70 - -3 - -6?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -255\/76 in 1, -0.4, 1\/4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/80 + 4\/(-5) + (34952\/(-40))\/(-17)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2 - 5298*s**4 - s + 5239*s**4 + (2*s**3 - 4 + 4)*(s + 3 - 3) to o*s**4 + k*s**3 + l*s + m + g*s**2 and give o.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -12. Let f = 5982 - 5958. Calculate the remainder when f is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1023 + 2?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 = -241*q + 240*q + 24*a, 0 = -4*q + 4*a + 20 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.1 + -1.1. Let s be (1 + 0)*9\/24. Let l be ((-6)\/3 + 3)*(-1)\/3. Which is the second smallest value? (a) l (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*s - 157338, 250 = s + 256. What is the thousands digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/5, -0.2, -0.197?\nAnswer: -0.197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*w - 229, -5*m - 4*w + 127 + 120 = 0. Let h be m\/75 - 4\/6. Suppose 12*g + 6*g = 0. Is g > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 10:48 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 11 + 1. Suppose 2\/7*p - 2\/7*p**r + 0 + 2\/7*p**2 - 2\/7*p**4 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4051982, 8104239, 12156496, 16208753, 20261010?\nAnswer: 24313267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:41 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from jsdssjjdsssjd?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(475) + sqrt(475)*5*3 + 1)**2 + -3 + sqrt(475)*-2*3 + 0).\nAnswer: -729588 - 780*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6786 is divided by 2258?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60307412 <= 60307411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 101, -1\/3, -1.4, -2\/11, 3\/4, 0?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*l - 5 = 0, 2*h - l - l - 6 = 0. Let f = -3949\/6 - -664. Let m = 11\/2 - f. Which is the closest to m? (a) h (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 41*h**2 + 13*h - 3207. What is f(-43)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -9 (b) -0.2 (c) -3.6 (d) -1 (e) -0.818\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -32631 smaller than -32625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12663380 rounded to the nearest 10000?\nAnswer: 12660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.26 - 0.06. Suppose -1 = 2*i + 1. What is the closest to i in -3, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 + -57. Let o(y) = y**2 - 5*y + 10. Let h be o(t). What is the derivative of -3*n + 10*n + 20 - 3*n + h*n wrt n?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -222, 88, 604, 1326, 2254?\n\"Answer: 103*b**2 + b - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.143 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 16 + -31 - 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 622926104 to the nearest integer?\nAnswer: 24958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76284362 and 462.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvj. What is prob of sequence vj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 14) to base 3.\nAnswer: 22212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from {l: 2, o: 1, e: 8, s: 2, z: 1, b: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 129 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**6\/15 - 174*n**5\/35 - 1199*n**4\/42 - 352*n**3\/7 - 212*n**2\/7 - 70*n. Suppose k(l) = 0. Calculate l.\nAnswer: -2, -1, -2\/7, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 8. Let i = -7 + 2. Let s = i - r. Calculate the remainder when 6 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 + x**2 + 0*x + x + 3*x**2 + 2 - 2 + (-5 - 2 + 5)*(3 + 2*x**2 - 3) - 2*x**2 - 3*x**2 + 4*x**2 + x**2 - 2*x**2 + 0*x**2.\nAnswer: -6*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (25 + (-6 - -1) + -4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9937784 + -5?\nAnswer: 993777a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i = -2*j + 2, 4*j + 4*i = -4. Let u(p) = 0*p + j*p + 5*p. Let o(c) = c + 6. Let t(f) = -f - 3. Let b(d) = -o(d) - 2*t(d). Calculate b(u(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u - 4. Suppose 0 = 4*h - 16, 4*h = 5*k + 5*h + 16. Calculate the remainder when v(k) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 186\/(-27) - 9\/81. Let x(p) = -3*p + 7. Let v be 2 + 3\/(1 + -4). Let w(k) = -2 + 3*k + v - k - 5. Give i*w(l) - 6*x(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1 + 11 = 0. Suppose 3*x + 84 = o*b, 6*b + 5*x = b + 70. What is the remainder when 250 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7))**(-36)\/(u**(-4\/7))**(-6\/23) assuming u is positive.\nAnswer: u**(-240\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 64, 130, 216, 328, 472, 654, 880?\nAnswer: 1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -14, -44, -86?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*p = 1 + 21, o - 4*p - 53 = 0. What is the remainder when 4773 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368549 is divided by 184252?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-6)\/(-24)*4*(-535)\/(-60990).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 285973?\nAnswer: -285971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**4 + 5*f**3 - f**2 - f + 2. Let a(i) = -3*i**4 - 6*i**3 - 3. Let q(x) = 2*a(x) + 3*y(x). Factor q(z).\nAnswer: 3*z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.10693 litres in millilitres?\nAnswer: 93106.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 203 + -184. Suppose 0 = -21*o + z*o + 10, 72 = 4*l + 4*o. Calculate the greatest common divisor of 1469 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 18. Let t be l(-9). Suppose 4*r - 516 + 72 = t. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 16*q**2 - 14*q - 21. Calculate k(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v - 66 = 3*k + 22*v - 49*v, k = 10*v + 9 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16011949 to three dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 8*o = i - 8, 5*o + 5*i = 10. Is o equal to 7\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u = 80 + 28 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47341615631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 6:52 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9227, 18467, 27729, 37025, 46367?\n\"Answer: 2*r**3 - r**2 + 9229*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 4:52 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 793\/3 - 265. Put -0.036, o, -2, 3\/5 in increasing order.\nAnswer: -2, o, -0.036, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2242449 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1 + (-3 + 2 + 0)*(4 + 2 - 5) + 0 + 3 - 5)*(-v - 20*v**2 - 1208 + 1208).\nAnswer: 100*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943025599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjbjvbjvvqbvqbjq. What is prob of picking 1 q and 1 v?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(3*30\/(-9)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49059800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2135*y**3 - 13931*y**3 + 4377*y**3.\nAnswer: -11689*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37690141?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + p + 3*p + 42 = 0, 3*a + 3*p = 27. Solve 4*z - 2*j - j + a = 0, 0 = 4*z - 4*j + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - 2*sqrt(500)) + -4.\nAnswer: -10*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 9*f + 2. Let x = -3 - -7. Suppose -x*i + 0*i - 3*c = -79, 0 = 3*i + 2*c - 60. What is the smallest common multiple of l(-10) and i?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 101 = -8*u - 99, -5*u - 2*x = -24. Solve -k + 3*s = 2 - 9, 2 = -2*k - u*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294334.552 rounded to the nearest 10?\nAnswer: 294330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 - -1063\/14. Is o bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11*k - 7. Let l(c) = -c**3 - 23*c**2 - 24*c - 46. Let f be l(-22). Let x be f\/11 + -316*(-4)\/176. List the prime factors of i(x).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -1)\/(2\/(-3)). Suppose 0 = -c*a - 2*a. Solve a = f - v + 2, -31 = 5*f - v - 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*(0 + sqrt(637)))**2 - 6*sqrt(130)\/((sqrt(10)*-2 + sqrt(10))*1).\nAnswer: 6*sqrt(13) + 366912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 6. Let l(w) be the first derivative of 8*w**3\/3 - 1499. What is l(t(o))?\nAnswer: 32*o**4 - 192*o**2 + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -16. Which is the closest to 0.1? (a) z (b) 1\/4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 470\/(-1645) + (-92)\/70.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -212, -177, -142, -107, -72?\n\"Answer: 35*m - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3149393?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 2*d**2 + 5*d. Let b(p) = 3*p**2 + 6*p. Determine -3*b(s) + 4*i(s).\nAnswer: -4*s**3 - s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*a = -386*a + 75. Solve 1 = -2*s + a, -2*s + 8 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 939166 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41056822?\nAnswer: 2, 20528411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.56 + 5.63. Let k = h - 0.07. Let g = 2.5 + k. Which is the third biggest value? (a) 3 (b) -2\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398558657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6606 and 3648?\nAnswer: 4016448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3569, 7, -0.3, 8\/9, 0, 0.1 in decreasing order.\nAnswer: 7, 8\/9, 0.3569, 0.1, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 11) + (2 - 2) + (64 + -94 - 6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -24. Let q(b) be the second derivative of -1\/20*b**5 + t*b**3 + 0 - 1\/2*b**2 + b + 0*b**4. What is the first derivative of q(k) wrt k?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -27. Which is smaller: 1\/2 or p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*q + 43. Suppose 11 = 4*a - t, -2*a - 9 = -4*a - 3*t. What is the remainder when q is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (0 - 20 - (16 - 13) - (-64 - -62)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/21 + 48434*h\/21 - 1062644\/7.\nAnswer: -2*(h - 24151)*(h - 66)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 209213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(35)\/(-2*sqrt(5)) - sqrt(7)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 1:02 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*a + 3*q - 335, -675 = -4*a - 3*q. What are the prime factors of a?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3*(-4)\/(8\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 16*l + 1 + 0*l**2 + 105*l + 5*l**2.\nAnswer: 2*l**2 + 89*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240 + 334*w - 235 - w**2 - 242 + 717.\nAnswer: -w**2 + 334*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**3 + 5*a**2 + a. Let l(b) = -5*b**3 - 6*b**2 - b. Let n(h) = 5*l(h) + 6*m(h). Determine n(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -2 (c) 1\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o + 3*o. What is the first derivative of -5 - 44*r**2 + 40*r**2 - o wrt r?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 8 = 2*b - 12, 0 = -2*b - 2*m - 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -18 + 14 + 3 + (-3 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f - 28*f = -2*h + 14, -5*h + f - 19 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3457129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 1515?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r + 1. Calculate v(7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1037652 and 726.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2 - 0) + (-12865)\/166. Let v be 4*2 - (83 + t). Solve -u = v*u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 13 = 3*n, -5 = -4*s - n + 91. Suppose -s + 90 = 5*q. Suppose 2*m - 23 - q = 0. Solve -3*p - z + 0*z + 19 = 0, 2*z = -2*p + m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - 5*h + 3*h + 5*h + 0*h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 1:29 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -16. Let c(j) = j - 2 + n - 2 - 2 - 8. Let l(i) = -1. What is -c(o) + 2*l(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 0*t**2 - 3*t + 0*t**4 + 0 + 1\/30*t**5 + 0*t**3. Suppose v(p) = 0. Calculate p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 760 divide 601920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 3*l**5\/20 - 2*l**3\/3 - 2*l**2 + l. Let s(c) = 4*c**3 - 5*c - 5. Determine 5*d(i) - 4*s(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 167 + 33. Suppose -62 = 4*y + o. Let n = y + 54. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5891957 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: What is 3 + 34\/(-38) + (-66)\/627?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -10 + 7 + 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 - -323. What are the prime factors of 1 - (-6 - -5 - h)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-41)\/(-2) - (-5)\/(-10). Let u be (3 + 3)\/(6\/g). What is the highest common divisor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 155, 150, 133, 98, 39, -50, -175, -342?\n\"Answer: -m**3 + 2*m + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 12) to base 15\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 43*v**2 - 3*v**3.\nAnswer: -3*v**3 - 43*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -992*f = -991*f + 2, 4*n + f = 3*n + 6*f + 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 546.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((465\/21)\/5 + -3)*-9. Let f = k - -93\/7. Which is the nearest to -3? (a) -0.3 (b) f (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 17. Suppose -r*n - 4 = -3*n. Let h = n - -3. Is h > -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-35))\/(((-16)\/8)\/10). What is the closest to 3 in 5, 3\/7, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phphfhphpffppp. Give prob of picking 3 f.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1804753 and 2489?\nAnswer: 236422643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2651 + -918. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -321281\nAnswer: 3\/321281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 1:33 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 2*q + 2*q)*(-4 + 0 + 3 + (3 - 4 - 1)*(5 - 2 - 2) + 0 + 1 - 3) - 12*q + 31*q - 10*q to the form w + r*q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 19*k + 3. Let t(l) = 6*l + 1. Let g(x) = -2*a(x) + 7*t(x). Let d be g(2). Let i = d + -2. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1111, -2194, -3255, -4294?\nAnswer: -5311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(1100) + 1)**2 - sqrt(1100)) + -1 - (5 + sqrt(1100)*-1)).\nAnswer: 20*sqrt(11) + 1096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 825389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 1:19 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3623861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 355211027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -118, -205, -290, -373, -454, -533, -610?\n\"Answer: l**2 - 90*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 3*q + 7. Let f be b(-3). What is the least common multiple of ((-50)\/(-175))\/(2*f\/(-56)) and (-2)\/4 + 17\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 7:39 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - o - 9 = -2, -2*q + 10 = 2*o. Suppose -3*a - 7965 = -q*a. Let f = a + -4065. Round f to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 2, g: 1}. Give prob of picking 1 g and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 2*x. Let p(j) = 2*j**3 - 4*j**2 - 7*j - 4. Let k(d) = g(d) - p(d). Let f = 17 + -12. Let r be f\/(-3*3\/(-9)). Give k(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1022 and 92126?\nAnswer: 644882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -625, 3, -5, 4.5, -0.5 in increasing order.\nAnswer: -625, -5, -0.5, 3\/5, 3, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 30865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8551678 and 3297618.\nAnswer: 11849296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (2 - 0))\/(-2). Suppose 20 = k*l + 3*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 7361.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4807b (base 12) to base 14.\nAnswer: 2742b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 12. Let y(k) be the second derivative of k**4\/12 + 2*k**3\/3 - 5*k**2 - 3*k. Let x be y(p). Calculate the highest common factor of 77 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkck when four letters picked without replacement from {k: 8, f: 3, c: 6, g: 1}.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229531*z**3 + 4526 - 4526.\nAnswer: -229531*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*w - 3*w + 11441, 3*w = 4*t - 45764. Let v(b) = -b**3 - 44*b**2 + 102*b - 36. Let l be v(-42). Let k = l + t. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 22, -50930 in ascending order.\nAnswer: -50930, -7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from keaccain. What is prob of sequence kcc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17509 <= 17513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2. Let x(l) = -2190*l**2 - 14. Determine x(t(v)).\nAnswer: -8760*v**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4*v + 115, 6*v - 22 = -u + 5*v. Calculate the remainder when (-1611)\/(-12) - 2\/8 is divided by u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.33 (b) 4\/25 (c) 57\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmptmlmmpnm. What is prob of picking 1 n, 1 p, and 1 t?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22277 is divided by 5563.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (72\/(-15))\/((-2)\/75)*23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence see when three letters picked without replacement from yeslsyssslefeese?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, v: 7, j: 4}. What is prob of picking 2 y?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 10:44 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-44)\/(-242) - 4\/22. Let b(p) = p**2 + 88. Is 26 a factor of b(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + p**2 - 3*p + 6. Let k be a(0). Suppose -1055 = -k*t + 139. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -131410043, -131410041, -131410037, -131410031, -131410023, -131410013, -131410001?\n\"Answer: c**2 - c - 131410043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1043101 (base 5) to base 11.\nAnswer: 12a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/20)\/(6\/(-20)))\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146670 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 2*y + 77*n - 78*n, -15*y = -0*y - 5*n - 595 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 - 414*h - 13854. Calculate p(-42).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 7:07 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*35\/10*(0 + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*k + 25 = 122*k - 258*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*((-18)\/(-5) + -4) + 6. Let g = 47.67 - 47.7. Sort -1, g, w, -0.5 in increasing order.\nAnswer: -1, -0.5, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**2\/5 - 16865532*b\/5 + 35555771205378\/5 = 0.\nAnswer: 4216383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 - 140 - w**2 - 3*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1488 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = t - 4*t. Let c be (10\/(-8))\/((-3)\/192). Suppose 5*f - 3*r - c = 0, 3*f = 4*f + 3*r + t. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 7*b = -0*l + l + 23, 7*b + 34 - 6 = -0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8920.\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -3391*w**5\/5 + 457*w**4\/6 + 5*w**2\/2 - 42*w + 5. What is the third derivative of k(c) wrt c?\nAnswer: -81384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1401988692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4708.364 centimeters in nanometers?\nAnswer: 47083640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*w - 13, l + 4*w + 8 = -0*l. Let n = -1797 - -1890. What is the remainder when n is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)*s)\/s**(-10\/7))\/(s**3)**18 assuming s is positive.\nAnswer: s**(-375\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -10 + 1. Find the common denominator of (987\/54)\/7 - c and 211\/(-24) + 6\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19, -27, -37, -49, -63, -79?\n\"Answer: -c**2 - 5*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 3*w + 2*b + 3, -3*b = -2*w + 45. Solve 4*h = -f + 15, 4*h + h = f + w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/2021 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 719389, -1 in descending order.\nAnswer: 719389, 30, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-4 - -1)) + (4 - -12 - 22 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118348 is divided by 150.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1831\/90 + -249\/10. Let b(v) = v**3 + 116*v**2 + v - 106*v**2 - 2 + 14*v - 8. Find the common denominator of q and b(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 883*y**6 + 3*y**2 - 24*y.\nAnswer: 105960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 42*v - 223. What is c(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4126 and 10.\nAnswer: 20630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 309144826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5082, -10165, -15250, -20337, -25426, -30517?\nAnswer: -35610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(35\/(-2212)) + 17 + -25)\/(-2)?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306748157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11517287.8999876 + 11517342.9. Let w = -42.4 + -12.6. Let y = w + s. What is y rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2.42, 4, -2?\nAnswer: -2.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njfjnnffqnnhjj. What is prob of sequence hq?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 12) in base 2?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25459157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1439 to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -682, -2656, -5918, -10468?\nAnswer: -16306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 3*x + 3. What is h(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 48 = -38 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-9)*(-8 - 710\/(-88))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = g - 3*d + 2*d, -2*g + 50 = -3*d. Let w(a) be the second derivative of -a**3\/6 + 25*a**2\/2 + 22*a. What is the least common multiple of g and w(9)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 3 + 3)*(-13*y + 52 - 52) + 2*y**2 + 4*y - 4*y + (-3 - y + 3)*(-9*y - y + 5*y) to the form x*y**2 + n*y + z and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45247*r**5 + 5*r**4 + 14*r**2 + 22*r - 7 wrt r?\nAnswer: 2714820*r**2 + 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2, 5 in decreasing order.\nAnswer: 5, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.22 - 0.08. Let c = n - 1.5. Let s = c + -0.2. What is the smallest value in -0.4, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 3 + 10 = 0. Let m be i + (2 - 2) - -1. Suppose 3*j = -m*j + 387. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 373, 0.094, -4\/3, -4 in descending order.\nAnswer: 373, 0.094, -2\/11, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 125 - 311 = 2*s, 0 = 4*o + 3*s - 893. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -211*t - 4640. Let x be h(-22). Let y(o) be the second derivative of 0 - x*o + 4\/5*o**2 + 1\/5*o**3 - 1\/30*o**4. Let y(w) = 0. What is w?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -680 + 1274. Suppose -3*b - 466 = 4*n, 5*n - 2*b = -0*b - o. Let u = 170 + n. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 16*q = 85. Suppose m - 108 = -3*a, -2*a = -4*m - q*a + 423. Calculate the remainder when m is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 5\/12 (c) 0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 4 = 12*v. Sort 1, v, 5.\nAnswer: 1, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -5*w + 369. Is w a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -19.5. Let s = 1.753 - 6.953. Let k = c + s. Round k to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -3. Let d(w) = -w**3 - w + 49. Let i be d(0). Suppose 3*f = i + o. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 30 = 3836*i - 3837*i, 2*i = 4*u + 40 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5958617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1699053, 1699055, 1699057, 1699059?\n\"Answer: 2*z + 1699051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -168*t - 17. Let l be q(4). Let r = l + 1013. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*x = 2. Suppose -2*r = x*r. Let t(q) = -q**3 - 5*q**2 + q + 4. Let n(u) = u**3 + 6*u**2 - u - 4. Let j(v) = -5*n(v) - 6*t(v). Calculate j(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5060 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + f - 3*f + 0*f)*(1 + 5 + 7)*(-12 - 10 + 33) to s + d*f and give s.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -578*g**3 + 1462*g**2 + 784*g + 96 = 0. What is g?\nAnswer: -4\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -5*r**2 + 0*r + 0*r**3 + 0 - 3\/8*r**4. Let h(y) be the second derivative of -y**4\/6 - 68*y. Determine h(x(o)).\nAnswer: -162*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -2 - 6 - (-5 + 7 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 5:05 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -17 + 18 + -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 24*g.\nAnswer: 3*g*(g - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 156*t - 633. Calculate m(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 0*c - c)*(2 - 1 - 2).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 3. Calculate b(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amgg when four letters picked without replacement from aamgg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -929*m - 17999 = 32167 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -691, -5385, -18141, -42991, -83967?\nAnswer: -145101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/6*76\/(-6). Let n = 36 - r. Calculate the highest common divisor of 187 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3860 + -508?\nAnswer: -4468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13158 and 1548?\nAnswer: 26316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 114071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1224, -2444, -3664?\n\"Answer: -1220*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 837 - 837.000004522. What is n rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1350*q**2 + 1350*q**2 - 32*q**3.\nAnswer: -32*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -745, -3025, -6843, -12205, -19117, -27585?\n\"Answer: -v**3 - 763*v**2 + 16*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -15. Suppose 155 = i + 5*t, 6*t - 692 = -b*i + 4*t. What is the highest common factor of 35 and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 7*x + 5. Let v(h) = -6*h - 2. Calculate the remainder when v(-6) is divided by f(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s, o - 3 = 4*s - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 2. Calculate k(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86642241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3236 - -3236.2. What is the third biggest value in s, -3, -2\/1181?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1512008, 1511959, 1511910, 1511861, 1511812, 1511763?\n\"Answer: -49*o + 1512057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*n + 1169 = -1342 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1299, 1622, 2151, 2880, 3803, 4914, 6207, 7676?\nAnswer: 9315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 363, 2066, 3795, 5562, 7379, 9258, 11211?\nAnswer: 13250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -78. Calculate the highest common factor of f and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -102. Let u(g) = 10*g**3 - 3*g**2 - 3*g. Let f be u(-2). Let h = k - f. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 6*i + 22*i + (2 + 3 - 3)*(3*i + 2*i - 7*i))*(2 + 0 - 5).\nAnswer: -48*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -97*v**3\/3 - 86. Let w(j) = -2*j**2. What is f(w(y))?\nAnswer: -388*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 - -49. Let g = 20.3727 - -0.4573. Let z = r + g. Which is the biggest value? (a) z (b) 0.2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/65)*h\/(h*h\/(h**(-17)\/h))*h*h*h**(-13)*h*h*h**18*h*h assuming h is positive.\nAnswer: h**(-522\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -340.26875 to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -16, -20, -14, 8?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d**2 + 33*d**2 - 10*d**2.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q = -3*v - 21, 4*v - 5*q - 7 = 0. Let s be 1\/(1\/(-4)*v). Suppose -s*j + 4*j - 28 = 0. What is the remainder when 27 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*q + f - 18, -q = -3*f - 20. Solve q*a - 7*a = -2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -174151\/29502 + 790\/149. Find the common denominator of d and 41\/30.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 * 754462\nAnswer: -49040030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -123 (b) 0.3 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 9:32 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 180131430*x - 8111833018461225.\nAnswer: -(x + 90065715)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 14746226*o. Let k(a) = 8*a. Give r(k(x)).\nAnswer: 117969808*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -525 - -38?\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23157898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66800464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**3 + r**2 + 11*r - 11. Let p(b) = -4*b**3 - b**2 - 6*b + 6. Let l(m) = 6*h(m) + 11*p(m). Find the third derivative of l(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 12:55 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/3, -3, 14\/29, 1, -168, 1\/7, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -724 (base 14) to base 2.\nAnswer: -10101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 2056405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 4*a**2 + 6*a - 1. Let q be s(3). Suppose -q = 7*i - 11*i. Factor 8*v**2 - 18*v**2 + 1 + 9*v**i.\nAnswer: -(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009162952 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(k\/(k**0\/k))\/k)*k*k*k*k**(-5)\/k*k)\/(k\/k**(2\/9))**(1\/45) assuming k is positive.\nAnswer: k**(-1222\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*q - c + 7, q - 6*c + 5 + 4 = -q + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 203, 258, 315, 374, 435, 498?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 261 = -4*r. Let v = 212\/3 + r. Let l be (-4)\/(-9)*(-9)\/6. Sort 2\/5, l, v.\nAnswer: l, 2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 31*k**2\/2 + 1. Let f(r) be the third derivative of -2*r**2 + 0*r**4 + 19 + 1\/30*r**5 + 0*r + 0*r**3. What is f(u(p))?\nAnswer: 1922*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**5\/240 + 185*c**4\/48 + 4*c**2 + 242*c - 2. Suppose r(u) = 0. What is u?\nAnswer: 0, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -0*k - 4*k - 5*j, -5*k = 3*j - 14. Let w be (k + 0)\/(1*(-4)\/16). Let n(a) = -5*a**2 - 4*a - 4. Let q(y) = -y**2 - y - 1. What is w*q(s) + n(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -29. Suppose 5*l + d = 228. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.1. Let k = -348 - -375.8. Let j = k - 28.8. What is the nearest to w in 2\/13, -5, j?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1034.5 and -540313?\nAnswer: 541347.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 628 (b) -0.4 (c) 0.1 (d) -1 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5944, 11775, 17554, 23281, 28956, 34579, 40150?\nAnswer: 45669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 22*z**2 - 102*z + 52. Is 18 a factor of l(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5907 or 5908?\nAnswer: 5907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 17*k**2 + 12*k - 39. Let i be c(-16). Differentiate -104*n**2 - 5*n - i*n**2 + 5*n + 0*n + 173 with respect to n.\nAnswer: -258*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 38*k + 28. What is the tens digit of n(27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1800 divided by -300\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -87196943, -87196945, -87196949, -87196955?\n\"Answer: -y**2 + y - 87196943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g + 4*g - 2*g + 4*g. Let a(m) = -5*m. Determine a(j(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 950 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244558629?\nAnswer: 3, 7, 1293961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -59*s**2 - 13325*s + 1975. Give l(-226).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.202 - 0.002. Let k = -5 - -6. What is the closest to -1 in 5\/2, k, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 4*w - 12. Let g be c(10). Suppose -5*f + 3*j - 1442 = 0, -5*j = -4*f - 0*f - 1164. Let d = g - f. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 4*l - 9 + 1, 20 = 5*l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, -2\/9, 4430.6, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -37*p - 2. Determine y(-2).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 3015.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172.3589 millilitres to litres.\nAnswer: 0.1723589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 4:56 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (11151\/(-14))\/(-27) + ((-210)\/(-28) - 6)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 14 = -4*b. Put b, 1, 7 in descending order.\nAnswer: 7, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 - 4*o**4 - o**4 + (-2*o**3 + 4*o**3 - o**3)*(18*o - 7*o - 27*o) + 2*o**4 - 4*o**4 - 6*o**4.\nAnswer: -28*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*((-1222)\/(-195) + -6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/(3\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + u. Let g(y) = 0 + 0 - 2*y. Suppose -12 = 20*j - 26*j. Determine j*x(b) + g(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*l - 30 - 5 = -4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 543770911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 28*b - 1980 = -34*b + 9*b for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1292205864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/((-453)\/(-755)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.18 - 0.18. What is the closest to -1 in 0.2, u, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 18*j - m + 13 = 0, -4*j + 18 = 2*m. Suppose 3*d - 16 = -2*h - d, 29 = -2*h + 5*d. Let t(n) = n**2 + 4*n + 3. Let c be t(-2). Sort h, -3, j, c.\nAnswer: -3, h, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - s + 0*s - 2)*(-85*s**2 + 130*s - 130*s) to h + x*s**3 + k*s**2 + m*s and give k.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 373 divided by 162500\nAnswer: 373\/162500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.65 or -12.9?\nAnswer: -12.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - q**3 + 5*q.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 - 2*r - 5 + 1 - 3 - r**2 + (r - 3*r + r)*(-r - 3*r**2 + r).\nAnswer: 5*r**3 - r**2 - 2*r - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p + 0*p + 2*p)*(4*p - 2*p + p) + 3*p**2 - 2*p**2 - 3*p**2)*(76*p**3 + 15*p - 32*p + 17*p).\nAnswer: 76*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5623 - 42*j - 148*j + 11*j**4 + 2*j**2 + 193*j wrt j?\nAnswer: 44*j**3 + 4*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 2*r + 2. Give l(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.4 and 4.\nAnswer: 81.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5\/7*(-368)\/920\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.5 - -0.5. Let j be 155\/(-330) + 1\/4. Let y = -1\/33 + j. Sort l, -0.4, y.\nAnswer: l, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102105 (base 9) in base 11?\nAnswer: -41585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 773*k + 407*k + 678*k**2 + 1529*k**2 - 772*k**2 wrt k?\nAnswer: 2870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 747 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27260774.99 rounded to the nearest one thousand?\nAnswer: -27261000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Suppose -2*z + 2 = 2*o, 0*z - 2*z - 16 = -o. Calculate the remainder when o is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 5*k + 1. Let a be p(-3). Let u = 8408 + a. Suppose z - 5*d + 4215 = 0, -5*d = -z - z - u. Round z to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 43 - 3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*y - 132, -5*k = -4*y - 259 - 71. Suppose -g = -4*o + 42, 2*o - g - 20 = -0*g. Suppose -k = -z + o. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*i - 10 = 0, 3*s - 37*i + 42*i - 20 = 0. Let x(z) = z - 2 - 2*z + 0*z. What is x(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 9:24 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**5\/9 + 34*r**4 - 1318*r**3\/9 - 24322*r**2\/9 + 17128*r\/3 - 26048\/9 = 0?\nAnswer: -8, 1, 11, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 8*b - 12*b. Suppose 2*m - 3*o - 6 = -4, 5*m - b*o = 5. Let r(j) = -7 + 1 - m + 2*j. What is r(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 12. Let z be h(9). Suppose 1 = z*b + 4. Let k = b + -2. What is the closest to -1 in -2, 0.2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123\/10 - -314\/5. What is the common denominator of -7\/1252 and v?\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*x + 5 = -5*w, -x = -w + 5. Let s = w + 5. Suppose s = 5*o - 15. Solve -2*r + 4*a - 8 = 0, 0*a = -5*r - 2*a + o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 302, 508, 678, 800?\nAnswer: 862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8708170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -n - 3. Let u(r) = -n*r + 6*r - 7*r. Let x(h) = 0*h - h - h. What is x(u(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 52 (b) 2\/5 (c) -4 (d) 276 (e) -3.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxss. Give prob of sequence sx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**4\/24 + w**3\/2 - 6*w**2. Suppose 0 = -a - 0*a. Calculate c(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-25) - 36\/(-10). Suppose y*s = -0*s + 8. What is the first derivative of -s*n + n**4 - 3 - 1 + 2*n wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -3, -5, 0, -12 in decreasing order.\nAnswer: 54, 0, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.4, -1\/5, 3, 7.9?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 17. Suppose -52 = k + 3*k + 4*i, -4*i = -2*k - 26. Let v(j) = j + 8. Determine k*v(p) + 6*m(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -109444*k**2. Let r(n) = -2*n**2. Calculate h(r(t)).\nAnswer: -437776*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -j - 48. Suppose -j*v = -56*v + 125. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 3*b - 4. Let k be r(3). Suppose -14*q = 5683 - 5711. Solve 0 = k*t - 15, -2*t + 3*t = -q*n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 4*n**2 - 227*n + 1049. Determine v(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1216, 1508, 2008, 2722, 3656, 4816?\n\"Answer: m**3 + 98*m**2 - 9*m + 1126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 56.2353 millennia?\nAnswer: 674823.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7789.79 - 7789.4500196. Let q = -174.46 - -174.8. Let m = p - q. What is m rounded to six decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 15*x - 5. Give a(5).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34\/1265 or -2076\/5?\nAnswer: -2076\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + 11 + -8 + (10 + (2 - -5) - 11)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124282973?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*d - 7 = 0, 3*d + 21 = 3*t + d. Let o = t + -5. Suppose 5 = o*f - 3. Solve -3*a + 21 = 3*v, f*a = 2*v + v + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 11. Let u(q) = 2*q + 22. Calculate -5*g(a) + 2*u(a).\nAnswer: -6*a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3444*b**3 - 2*b**2 - 14189*b wrt b.\nAnswer: 20664*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*j - 27*j - 144 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -6. Let m = a + 10. What is the remainder when 7152\/168 + 8\/(-14) is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d03 - -524?\nAnswer: 2427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 686\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.7, -69?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109760072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011401031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + 207. What is the remainder when k is divided by (12\/(-8))\/((-2)\/(-64)*-1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*i + 133 - 1289. Let v be 336\/13 + i\/(-442). Which is smaller: 0.3 or v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 - 5. Suppose i = -2*d - 0*d + 15, -35 = -5*d - 2*i. Let c(b) = 2*b**2 + 4. Calculate d*c(u) + 4*m(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*l + 368 + 277 - 193 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528175.1 months in years?\nAnswer: 127347.925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 2, -28, -3, -6423, -4 in descending order.\nAnswer: 2, 0, -3, -4, -5, -28, -6423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o + 2*o**4 + 203 + 206 - 410 - 2*o**3 - o**2 to the form a + p*o**2 + g*o**4 + m*o**3 + k*o and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcccllccclc. Give prob of sequence ll.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 26 = -5*n, n - 3*n + 8 = 0. Suppose 0*z = -z - i - 1046, v*z = 3*i - 3132. Let g = z - -503. What is g rounded to the nearest ten?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**4 + 12*z**3 + z**2 + z - 2. Let y(s) = 2*s**4 - 1784*s**3 - 580802*s**2 - 85184002*s - 4685119996. Let g(n) = -4*d(n) - 2*y(n). Factor g(b).\nAnswer: 4*(b + 220)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6771113 centuries in months?\nAnswer: 812.53356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 3*i - i)*(-4 + 5 + 0)*(-128 + 54 - 49).\nAnswer: 246*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -18. Sort h, 2, 5, 0 in increasing order.\nAnswer: h, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -3. Let x(o) = -3*o**2 - 14*o. Let y(l) = 2*l**2 + 9*l. Let s(w) = p*y(w) + 5*x(w). Factor s(v).\nAnswer: v*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 - a**2. Let d be z(-1). Let n be (1\/d)\/((-5)\/30). Solve 15 = -n*g + 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30415 and 13825?\nAnswer: 152075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 193156.6mm?\nAnswer: 0.1931566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + 0*p**2 + 0*p**2 - 6*p - p**2. Let x(o) = -9*o**2 - 8*o - 3. Let s(m) = m**2 - m + 1. Let n(j) = 3*s(j) + x(j). Determine -6*n(t) + 11*y(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 224131748 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f - 2*f**2 + 0*f + (0*f + 3*f - f)*(-2 + 2*f + 2) + 1055 + 146*f**2 - 1055.\nAnswer: 148*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v + 2*v - 20*v - 4 + v + 8*v to p*v + a and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -487, -1673, -3641, -6391?\nAnswer: -9923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1588.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1941 < -1718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 204796600392.\nAnswer: -204796600387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*m**2 - 65*m**2 - 66*m**2 - 67*m**2 + 266*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**4\/2 - 4*y**3\/3 - y**2\/2 + 2*y + 4. What is the units digit of z(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + -6*1*sqrt(65))\/(sqrt(80)*-2).\nAnswer: 5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 - y**2 + y + 1. Let x be j(-1). Suppose 4*w - 5*w = -3, -14*o - w = -31. Which is the third smallest value? (a) x (b) o (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1010, 8408, 28482, 67568, 132002, 228120, 362258?\nAnswer: 540752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 763 + 35*n + 50*n**3 - 763 + n**2 as t*n**3 + s*n**2 + h + w*n and give t.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -75, 3\/4, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5751)\/(-135)*85\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -589007 divided by -3?\nAnswer: 589007\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 28*p + 29. Let a be m(-13). Let g be (a - -2)\/20*0. Solve -2*q + 1 - 3 = g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and -0.03.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373507539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {y: 1, w: 6, l: 6, d: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 + (-658)\/4. Let p = -121 - y. Let -2535*w - 44*w**3 + 195*w**2 + 117*w**3 - 35*w**3 - p*w**3 + 10985 = 0. What is w?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, j: 9}. Give prob of sequence wj.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2*3\/30)\/1)\/((446148\/(-680))\/243).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71547682 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 3*m - 24, 0 = 2*c - 719*m + 720*m + 16 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 3*y**2 - 4*y - 3. Let q be a(-3). Let p = q + -9. Is p less than -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(208)\/(sqrt(800) - (sqrt(800) - -2*sqrt(800))))\/((3*sqrt(490) + sqrt(10))\/sqrt(5)).\nAnswer: -sqrt(13)\/440 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -0.2, 74988 in decreasing order.\nAnswer: 74988, 3\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) 119\/25 (c) -0.4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sysy when four letters picked without replacement from {y: 2, s: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5438 + 3*j**2 + 5*j**2 - 4857.\nAnswer: 8*j**2 + 581","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 20 = 8*r. Suppose 14 = 4*y - t, 3*t + 0 + 10 = r*y. What is the remainder when (34\/y - -2)\/((-3)\/(-6)) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 157 and 6.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*q + 3*q - 3772 = 0, -5024 = -4*p - 4*q. Suppose -25*i + 27*i - p = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0312 (b) -2\/23 (c) 3 (d) 4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -80 - (17 + -13 - 4)) + -91 + 85?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*y - 10. Suppose x = -y*u + 70, u = -x + 2*u + 64. Does 23 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*z + 5. Suppose -g - 2*s + 344 = -0*s, -2*s = z*g - 1024. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9 = 3*x, -3 = 3*z - 7*z + 5*x. Factor 3*a**2 - 11*a**2 - 3*a + 7*a**2 - z.\nAnswer: -(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(405)))**2.\nAnswer: -72*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, -54, -1\/6, 249, 1?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 93. Let w = h + -100. Which is the closest to -2\/7? (a) 3 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**2. Let h(s) = -s**2 + 69301*s. Give h(m(y)).\nAnswer: -25*y**4 + 346505*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 0.4.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 - 57. What is the lowest common multiple of s\/3 - 4\/(-6) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 6. Suppose 0 = -2*c + 6 + 4. Give t(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18977\/11 + 1725. Sort 3, m, 127.\nAnswer: m, 3, 127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b**3 + 88*b**2 + 5*b - 3. Let v(x) = x**3 - x**2 + 4*x - 1. Calculate -j(g) + 3*v(g).\nAnswer: -4*g**3 - 91*g**2 + 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 317*z**4 + 784*z - 639*z**4 + 326*z**4 + 116*z**3 + 896*z**2.\nAnswer: 4*z*(z + 1)*(z + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 12.8. Suppose 3*t - 17 + 5 = 0. Put d, -0.4, t in increasing order.\nAnswer: -0.4, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/20)\/((-3)\/(-6)). Let f(i) = 0 - 1 - i**3 - 3*i**2 + 0*i**2 + 0. Let z be f(-3). Sort 1, z, s.\nAnswer: z, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 6. Let h(s) = -s**2 - 7*s - 8. Let g be h(-7). Let n be i(g). Suppose 110*k = 114*k - 64. What is the highest common factor of k and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 908*t - 27228. Calculate j(30).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485*x - 542590 + 103363 = 3472*x for x.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*p**2 + 0*p - 108\/5*p**3 + 0.\nAnswer: -3*p**2*(36*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4144 and 11914?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.91211ml in litres?\nAnswer: 0.03691211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5.8 (b) -1 (c) -7 (d) 0.3 (e) 33 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 497551264.\nAnswer: 2, 7, 179, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 25*x**2 + 46*x + 53. What is the remainder when i(-27) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 14 = -2*q, -o + 58 = 4*q + q. Let a = q - 6. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = 3*m. Let k(s) = -6 + m + 0 + 2*s. Let l(r) = -2*r + 1. Let a(f) = -4*k(f) - 6*l(f). Calculate a(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p + 4*p = -7*p + 68 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i**3 + 42*i**3 + 0 + 12 + 2.\nAnswer: 64*i**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**4\/4 + 2*s**3 + 3*s**2 + 3*s - 1. Let y be k(-4). Suppose y + 4 = 3*w. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*-3*-1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3968*s - 1988*s + 4 - 1984*s - 4.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 12:11 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022 (base 3) in base 14?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7430)\/(-4)*(-4)\/120 - 1023\/12276?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 2 + -5 + -1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*j - 46*j + 5*j**3 - 47*j.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -123223311 (base 4) to base 7\nAnswer: -651414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y. Suppose 0 = -4*c - 5*l + 32, 6*l - 4*l - 17 = -3*c. Suppose c = -4*p + 11. Let b(m) = -2*m**2 - 2*m**2 + p*m**2 - 6*m**2. Determine n(b(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7541993 is divided by 1299?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1999839 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 6*r**2 - 3*r + 8. Let p(u) = 6*u**2 + u + 2. Let s be p(-1). Is 12 a factor of c(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/4378 and -101\/3756324.\nAnswer: 3756324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iui when three letters picked without replacement from {e: 3, i: 5, f: 9, u: 2}?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 397 by -325693.\nAnswer: -397\/325693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 16*v**2 - 25*v - 4. Let q be p(18). Let z = -53 + q. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -138*g**3 + 5*g**2 + 4*g + 7. Let d be f(-3). What are the prime factors of d\/21 + (-4)\/3?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (188\/2585)\/((-260)\/286)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*i - 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2146096 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 (base 11) in base 2?\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9254371\/146 less than -63386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3978819 and 145359.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8961 is divided by 4416?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*c - 16*c**2 + 28*c**2 + 76*c - 38*c.\nAnswer: 12*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + k**2 - k + 1. Let z(v) = 50*v**3 - 50*v**2 + 55*v - 55. Let m(n) = -220*o(n) - 4*z(n). What is the third derivative of m(x) wrt x?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-42)\/70 - (-362)\/(-30))*-24. Let t(m) = n + 0*m - 306 - 4*m. Let u(w) = -3*w + 0*w + 2*w. Calculate u(t(b)).\nAnswer: 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22256 and 231976.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 9:23 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 242 and 10?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.13 - -0.87. Which is the closest to n? (a) 1\/4 (b) -0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from {y: 1, k: 14}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1 + 7 = 0. Suppose -184 = -q*v + 6*v. Let o = v + 66. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-6) - -1) + -1. Let c = 5 + -1. Suppose 0 = c*d + 3 + 1. What is the third biggest value in 1, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v\/(v\/v**(-13\/5))*v**(-3\/5)*(v\/((v*(v\/(v\/(v*v\/(v**(-2\/5)\/v))))\/v)\/v))\/((v*v\/(v**(-19)*v)*v)\/v*v) assuming v is positive.\nAnswer: v**(-118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 609096.1mm in centimeters?\nAnswer: 60909.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.539 - 0.739. Put z, 287\/5, 0, -1 in increasing order.\nAnswer: -1, z, 0, 287\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 12:08 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1063 - 341?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.0123 + 0.0123. Which is the closest to u? (a) 0.02 (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -98*x + 15879. Let n be i(162). Sort 0, -13, n, -1 in descending order.\nAnswer: n, 0, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40976 = 5*y + 3*p, -3*y = -2*p - 24707 + 148. Is y a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823725329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -8. Suppose -p = t - 3. Let v(z) = -3*z - 3. What is the remainder when 22 is divided by v(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11388 and 312.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26459, 105591, 237485, 422147, 659583?\nAnswer: 949799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 138004, 137630, 137256, 136882, 136508?\n\"Answer: -374*u + 138378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n - 152. Suppose -5*c + n = -22. Suppose 0 = 2*m - m + l, -2*m + l + c = 0. Let s(z) = -z**3 + 3*z**2 + 5*z + 2. Calculate s(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26243, 52496, 78761, 105044, 131351?\nAnswer: 157688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 4*w**2 - 2*w - 1. Let x be v(-5). Find the common denominator of ((-101)\/(-24))\/(x\/(-48)) and 53\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610793499.\nAnswer: 3, 203597833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - v + 2*v)*(3 + 1 - 1) + 25 - 11*v - 25 - 2 - 17*v + 11*v - 24*v.\nAnswer: -47*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, s: 1, y: 1, b: 5, k: 1, h: 4}. What is prob of sequence bmkh?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1391\/24 (c) 1\/266\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -193.\nAnswer: 13\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/42 + (252\/(-27) - -9). What is the nearest to -9\/5 in 3, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1263203.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 512810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 3, 1 in descending order.\nAnswer: 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 233 + 27. Let r be (t\/6)\/(1\/(-3)). Calculate the highest common divisor of 39 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 732, 721, 704, 681, 652, 617?\n\"Answer: -3*v**2 - 2*v + 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + 10 + -5)*-1. Solve -3*p = z + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 3)*(-3 + 100). Let m = w + -100. Let o = 0 - 1. Sort m, -4, o in increasing order.\nAnswer: -4, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18553234 and 3905944.\nAnswer: 74212936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v - 29 = 2*a, 23*v + 25*v - 48*v + 3*a = -9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -13*n + 23 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/10 and 77\/7262614.\nAnswer: 36313070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -67*m - 15. Let j(t) = 94*t + 21. Let o(x) = 7*h(x) + 5*j(x). Let k(r) = 1014*r**2 - 1. Calculate k(o(z)).\nAnswer: 1014*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 12:25 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 875 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - (-18 - (-1 - 30))) + -99?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w + 2. Let o(b) = -b. Suppose 4*h - h + 12 = 2*i, 3*i - 4*h - 18 = 0. Give i*o(l) + s(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 7*r**3\/9 - 2203*r**2\/6 - 210*r - 6085. Determine u so that w(u) = 0.\nAnswer: -2\/7, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 181, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 2. Let q(s) = 8*s + 1. Let a be q(-2). Let l = 21 + a. What is the remainder when 28 is divided by h(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b + 12*b + 5*b + (-146 + 146 + 13*b)*(3 + 0 - 2) - b - 10 + 3*b + 9.\nAnswer: 37*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6*p = 12. Is p smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 6, 2220 in descending order.\nAnswer: 2220, 6, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 682.0918 litres in millilitres?\nAnswer: 682091.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wiwowoiowoiwwwiw.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w - 216. Give z(29).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -412374 divided by 68729?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 8, 2\/9, 0, 2\/15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) -4 (c) 17119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477 + 248 + 229 - 138*m**3.\nAnswer: -138*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by -62?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1854837?\nAnswer: 3, 19, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 27*w**3 + 72 - 72 + 2*w**3 - 9*w**3.\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 212498 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 27669*b + 165993. Give f(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 - 6*p + 6. Let q be u(1). What is the common denominator of 89\/90 and -4 + ((-81)\/(-4) - 4 - q)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003530697 to 7 decimal places.\nAnswer: 0.0000353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16317442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1075623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14413708 - 386253708 = -4*t. Suppose 0*i + 14*i + t = 0. Round i to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 441 and 2016?\nAnswer: 14112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 8*g - 19. What is i(-8)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 0*k + 20. Suppose -11 - 9 = -k*t. Let c = t - 1. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 87085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -676 or -675?\nAnswer: -675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 24. Let c(w) = -2*w**2 - 41. What is s(c(d))?\nAnswer: -4*d**4 - 164*d**2 - 1657","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 670.107 + -0.1374\nAnswer: 669.9696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2117667 and -5?\nAnswer: 10588335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*v - 112, 5*b + 5*v = 4*v - 128. Suppose 29*n - 15*n + 23*n - 3663 = 0. Let o = b + n. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117*v**4 - 4121*v**2 wrt v?\nAnswer: 2808*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Let f be 35\/(-28)*(-2)\/275. Let h = 1\/10 - f. Which is the closest to p? (a) 4 (b) 2\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634*b**3 + 33 + 0 - 4 + 2245*b**3.\nAnswer: 1611*b**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 q, and 2 z when four letters picked without replacement from {q: 2, c: 2, f: 1, h: 1, s: 2, z: 4}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34540, 34528, 34512, 34492, 34468, 34440?\n\"Answer: -2*q**2 - 6*q + 34548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {v: 1, h: 1, d: 1, e: 5, o: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 7 = 2*j, j - 5 = -4*m - 21. Determine d so that -3\/2*d**j + 0*d + 3*d**3 + 0 + 0*d**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84.783*0.5.\nAnswer: 42.3915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*h + 37 = 40, -5*h = 4*w - 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 319216752*l - 8491611229785792.\nAnswer: -3*(l - 53202792)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-184)\/40 + (-3)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1)\/(8\/40). Suppose g*c = c + 2*d + 344, 0 = 4*c - 4*d - 352. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9803 less than 0?\nAnswer: 9803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 11*p - 9*p - d, 2*d = 10. What is the greatest common factor of 182 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i*i**(-1)\/i))*i)**(-31)*i*i*(i*i**(-6\/7))\/i*i*i*i*i**(-4\/3)\/i assuming i is positive.\nAnswer: i**(689\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -96, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576.224 times 3?\nAnswer: 1728.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -27.1. Which is bigger: b or -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + b4227?\nAnswer: b4224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*m - 2*q + 10, 2*m + 16 = -3*q. Let p be (9\/(-4))\/(m\/20). Solve -6*w - 9 = p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z. Let m = -92 + 94. Let f = -8 + 5. Sort z, m, f in increasing order.\nAnswer: f, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/33 and -44\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3413*p = -261886 + 647555 for p.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1930, -15954, -54016, -128134, -250326?\n\"Answer: -2003*k**3 - k**2 + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 94*j - 1. Let w(v) = -v**2 + 793. Determine o(w(l)).\nAnswer: -94*l**2 + 74541","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16404*b - 19 + 10 - 29 + 38 to x*b + l and give x.\nAnswer: -16404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2. Let v = -49 + 57. Let f(s) = v*s + 2*s + s - 9*s. Determine f(i(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8730\/2749 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 243080.\nAnswer: -23\/243080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126603, 253015, 379427?\nAnswer: 505839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > -860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 - 4*s**2 + 2*s**2)*(0*s - 4*s + 3*s) + (-16*s - 5 - 28*s + 52*s)*(2*s**2 - 2*s + 2*s) as c + k*s + v*s**2 + d*s**3 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-1 + -1 + 1). Sort -5, h, 3.\nAnswer: -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*-2)\/sqrt(8))\/(sqrt(245)*-2).\nAnswer: sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -904*n**4 - 2030*n**2 wrt n.\nAnswer: -21696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033 - -0.453?\nAnswer: 0.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 192102063 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, o: 10}. Give prob of picking 3 y.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 12*l + 40*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 + k + 4. Let t(s) = 6 + 21*s**2 + 16*s**2 + s - 32*s**2. Determine -5*t(r) + 7*y(r).\nAnswer: -4*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2964*j - 284758. What is z(-96)?\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -2 - 1\/2*j**2 - 3*j. Suppose 0 = -2*i - 2 - 4. What is q(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 7*t - g = -21, 3*g = 3*t + 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 14*r = -229527. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 11. Suppose -12*w = -i*w - 15. Do w and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62, 118, 166, 200, 214, 202?\n\"Answer: -a**3 + 2*a**2 + 57*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507*k - 4149 = -6480 - 7809 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g + 2052315 - 9268845 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0906 + -10.9906. What is the nearest to 1 in 1\/2, 3, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 divided by -182?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1385 - 1384.6. Which is the nearest to z? (a) -1\/2 (b) -1\/6 (c) 1 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676686 is divided by 100.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106465905 by -1689935.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(6\/5))**(-2) assuming w is positive.\nAnswer: w**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -157 divided by -252897\nAnswer: 157\/252897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -14*y**2 + 5*y. Let h(d) = -209*d**2 + 76*d. Determine -5*h(j) + 76*t(j).\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*n = -19, -4*m + 6*m = n - 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.2 - -10.2. Sort 1\/5, g, -0.6, 0.3 in descending order.\nAnswer: g, 0.3, 1\/5, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10503, 42039, 94599, 168183, 262791, 378423?\n\"Answer: 10512*t**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 507*i**3 + 537*i**3 - 2206*i**3 + 526*i**3 + 546*i**3.\nAnswer: -90*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 388319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*s + v - 53, 4*s - 4*v - 76 = 0. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + ((161\/21)\/(-1) - (-1)\/(-3)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {b: 14, g: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -8*c + 49, 2*c + 5*x - 14 = -c + x for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20240152 (base 6) to base 15.\nAnswer: b70bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*w - 4*w + 10 = 0, -2*w = -3*f - 6. Let x(j) = -j**2 + 1. Let h be x(-1). Let d(b) = 4 + b**2 + h*b + b + 3*b + 0*b. Calculate d(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 28. Calculate m(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 110, 5\/2, -1\/6, 6 in ascending order.\nAnswer: -0.5, -1\/6, 5\/2, 6, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1139*n + 1145*n - 2274*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -6. Suppose 2*s - j = -s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -14, 1.1, -0.5 in ascending order.\nAnswer: -14, -0.5, 1, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least -66\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 19 = -4*x + 4*n, -2*n + 1513 = 1505 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1 + (-2 + 0 + 3)*(1 + 3 - 5) - 2 + 1 - 2)*(q + 2*q - q) + 2*q + 3*q - 6*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182035 is divided by 26003.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -323?\nAnswer: -5\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 8, -300, -0.5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 < -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 9:11 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(1088)*-1 + 3 + 2 + (sqrt(17) + 3)**2.\nAnswer: -42*sqrt(17) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 11. Let i be b(8). Let t = i - -55. Suppose -3*m = -5*a - 2 - 117, 92 = t*m + 3*a. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 21*d - 22 = -20*d, -19933*d = 8*b - 19937*d + 32 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 5*c**2 - 2*c - 10. Let n be f(3). Let v = -8 + 8. Suppose w + 2 = v, -61 = -5*y - n*w + 350. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2*(488 + -4). Round l to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x + x**2 + 0*x - 4*x. Let m(f) = -4*f**2 - 5*f. What is -m(g) - 6*q(g)?\nAnswer: -2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x - 5. Let y be r(-4). Suppose -5*f - 2*h + 11 - 4 = 0, 3*f = 4*h + 25. What is the units digit of ((-1)\/y)\/(f\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 n, and 1 h when four letters picked without replacement from bnphhbbbbpbp?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2650*m**4 - 5*m**3 - 2*m**2 - 686*m - 48?\nAnswer: -31800*m**2 - 30*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12366132 (base 8) to base 13.\nAnswer: 75273a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.55 - 2. Let i = j + 1.25. Let t = -1.2 + i. Which is the biggest value? (a) t (b) 1\/7 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 267070 + -267069.9600034. Let h = -0.04 + x. Round h to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16666407)\/(-57) - 30 - 2\/19 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 591, 590, 589?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 397429999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 10.\nAnswer: -33\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((27\/(-36))\/(6\/4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Suppose -33 + 13 = -5*q. Suppose -t + 8 - q = 0. What is the nearest to z in -0.4, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 5184?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 129240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -90, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w - 392 = 0. Let d = w - 100. Sort -5, d, 4, -4.\nAnswer: -5, -4, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/7 and 33\/17?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3 (b) 2\/5 (c) 6 (d) 2\/273\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0161696943 rounded to 4 dps?\nAnswer: 0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/((-4)\/(-19)) - 3. Let y be v\/(-20)*5\/(-2). Suppose -42 = y*j - 8*j. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmxxo. What is prob of sequence xomd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 63. Suppose u*z = -20 + 52. Solve 2*d - n = -z, d = 5*d + 2*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137 - 114. Suppose j*h + 35 = 30*h. Suppose w - h = i + 3*i, 4*w = -4*i + 120. Calculate the remainder when 199 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -18 + 68. Let t(u) = -3*u**2 - u - 1. Let q be t(-1). Let z = q - g. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**3\/6 - b**2\/2 + 29*b. Let r(g) = -g**2 - 11*g - 11. Let a(n) = -2*r(n) + 22*x(n). Let c(q) = -20*q. Determine c(a(p)).\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*f + 18 = 0, 3*q + 4 = -3*f + f. Solve 0 = -5*s + q - 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 236 + -233. Calculate the remainder when 124 is divided by (z\/5)\/(3*6\/540).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4 + 44*f**3 - 186*f**2 - 2196*f - 3807 = 0. Calculate f.\nAnswer: -47, -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 101. Let q(f) = 6*f - 45. Let j be q(10). Let y = l + j. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(126) - sqrt(126))*-4 - sqrt(126) - sqrt(126))\/(sqrt(7)*-2*-3))\/((2*sqrt(1323))\/(sqrt(36)\/(1*sqrt(12)))))**2.\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3*581\/(-210) + -1 and 1096\/120 - (-2)\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 - q**2 + q. Suppose 4*b + 4 = -4*t, -1 = b + 1. Give z(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.77 + 0.13. Let j = 3.02 - i. What is j rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/33401659 and -23\/1067.\nAnswer: 367418249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-404)\/36 + (-2 - -13).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 99 (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6*o**2 + 251*o - 110*o**2 + 107*o**2 to the form q*o**2 + r + p*o and give p.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72480 and 2536800.\nAnswer: 2536800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15777\/31 + -509. Let p = 83\/155 - o. Let m = -14 + 20. Are m and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-18\/11)*z*z*z**(-3\/20)*z*z assuming z is positive.\nAnswer: z**(487\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 465.9, 5, 2\/79 in decreasing order.\nAnswer: 465.9, 5, 2\/79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28.5 in -1\/3, 10, 2\/9, 8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*p**2 + 9*p**4 + 75*p**2 - 29*p**2 - 7*p**4 - 7 to the form d + i*p**4 + y*p**3 + h*p**2 + b*p and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 - -106.9. Let v = -1.7 + 0.3. Let n = x + v. What is the biggest value in n, -3\/4, -5\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330 divided by 1.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w**2 - 55*w - 105. Give o(-6).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + n + 4 + 0)*(-28 + 26 + 10)*(3*n - 2*n + n + (3 - 7 + 3)*(-1 + n + 1) - 1 + 1 - 2*n + 4*n - 3*n - 2*n).\nAnswer: -16*n**2 - 64*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 3*a - 1. Let m be f(-3). Let b be (-155)\/(-20) - (-2)\/m. Let h = 2 + 1. Solve -b*r + 15 = -h*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-8.99.\nAnswer: -8.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.45 + -0.67. Let y = 0.45 - 1.67. Let n = a - y. What is the nearest to 1 in 4, 2\/11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z = 7997 + 4791. Let b = 723 + z. What are the prime factors of b?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - j + 6222 - 34030, 13922 = 2*o - 5*j. Is 171 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -2. Let z(o) = 699*o**3 - 4*o**2 + 7*o**2 - 698*o**3. Let b(r) = 2*r**3 + 4*r**2 + 1. Give a*b(t) + 3*z(t).\nAnswer: -t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + 201172?\nAnswer: 201164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.2897505 + 7.1102789. Let k = -0.4 - 20. Let w = k + u. What is w rounded to 6 decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 23*y. Let p(w) be the second derivative of -2*w**3\/3 + w**2 + 280*w. Calculate p(x(b)).\nAnswer: -92*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102082348354 - -102083587501.99998. Let f = w - 1239135. Let z = -13 + f. Round z to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*v - 6, -4*v - 2*m + 7*m = 27. Let a be v*(0 - 2)\/(-10). Let d be 1 + 1*2\/(-4). What is the third biggest value in d, -1\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2304, -2317, -2338, -2367, -2404?\nAnswer: -2449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.3, -5, -4, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 15 = -7*w + 2*k, 4*w = 4*k + 20. Let s = w + -2. Let t(m) = -m**2 + 4*m - 4. Give t(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2331 - 320*y**2 - 2331)*(-3*y**3 - y + y).\nAnswer: 960*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/2*(-74)\/148?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6.59 and -910.2.\nAnswer: -916.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 313, 1501, 2689, 3877, 5065?\nAnswer: 6253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/2 + 5619*x**2 + 11235*x\/2 - 11237 = 0. What is x?\nAnswer: -11237, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r = 43*c - 38*c - 235, -4*r - 95 = -0*r - 3*c for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 27 - 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1082*m + 1084*m + 4 + 1 - 2*m**2)*(-m**2 - 2*m + 2*m) to the form h*m**3 + n*m + i*m**4 + t*m**2 + d and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -2. Suppose k + 2*v + 3 = 0, -k = a*k + 3*v + 2. Is (-638)\/(-6) + k\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 52, 110, 184, 274, 380, 502, 640?\n\"Answer: 8*j**2 + 34*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**2 - 18261*m - 54810 = 0.\nAnswer: -3, 6090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2072207.\nAnswer: 2072207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -105131 (base 6) to base 12\nAnswer: -51a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5548)\/16 - 2 - (-3)\/(-12). Let z = 492 + u. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/((((u**0\/u*u)\/u)\/u)\/u)*u)\/u*u)**(-2\/37))**(2\/3) assuming u is positive.\nAnswer: u**(-8\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 1542798*l - 1542800.\nAnswer: 2*(l - 1)*(l + 771400)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -15. Let h(l) = -l**2 - 3*l - 2. Let j be h(r). Let m = 0.96 + -0.06. Is j < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 15 = t, -7*t + 9*t = 3*r - 14. Let u(w) be the second derivative of 0*w**2 + 1\/36*w**r + 0 + 1\/18*w**3 + 2*w. Factor u(h).\nAnswer: h*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 44*m**2 + 11*m**2 + 11954*m - 5975*m - 5980*m. Determine f(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37288087*l**4 - 34*l + 81883 wrt l.\nAnswer: 447457044*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -3)\/(-2) - (-13)\/(-1). Let h(r) = r**2 + 12*r + 1. Let z be h(f). Put -10, -2, 5, z in descending order.\nAnswer: 5, z, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2024?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**3 + 73*i**2 + 14*i - 77. Calculate q(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u + 285. Let h(t) = 9*t. What is b(h(z))?\nAnswer: 54*z + 285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 18*a = -188, -4*l = -21*a - 0*a + 19*a + 28 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 100, 223, 430, 763, 1264, 1975, 2938, 4195?\n\"Answer: 7*r**3 + 74*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1 = -5*w + 8, -4 = -4*w + 2*u. Let x(r) = 0 + 2*r**2 + 0*r**2 + 1. Determine x(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60\/45*(-1 + (-5)\/(-2)). Solve 0 = -5*h - 13 - u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -462929*w**2 - 102722*w - 2.\nAnswer: -925858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 414 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14566.\nAnswer: 2, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 279, 1117, 2511, 4461, 6967, 10029?\n\"Answer: 278*n**2 + 4*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.16 and 4457481.88?\nAnswer: 4457482.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 3*p**2 + 0*p**2 - p**3 + 3*p**2 + 8 - 9*p + 4. Give w(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2954 - -3014. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110 - 117. Let k = 16 - 5. Let s = k + m. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -195, -408, -703, -1080?\nAnswer: -1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from xydewdddedtxx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -5, 0, 1, -4 in descending order.\nAnswer: 50, 1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 5:20 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/1752 and -77\/60?\nAnswer: 8760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (2*sqrt(114) + sqrt(114))*-4)\/((sqrt(216) - (-1*sqrt(216) - sqrt(216))) + sqrt(216)) + -3)**2.\nAnswer: -13*sqrt(19)\/4 + 8395\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 74986da?\nAnswer: -74986e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 u when three letters picked without replacement from {f: 2, u: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + f - 2 = 0, -2*m = -0*m + 3*f - 11. Let l(k) be the second derivative of 53*k**5\/5 - k**4\/6 + k**3\/3 - k**2\/2 - k. Is l(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3948.1547 to the nearest one hundred.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-2))\/((-4)\/(-2)). Let d = -251 - -251. Suppose 5*u = -d*u - 10, 2 = 2*r + 3*u. Solve 4*t + t - 33 = -2*k, w = 5*k - r*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 75 - (14 + (32 - (15 + 35))).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -10) + (0 - 2). Let w be (-16)\/24 - 4\/(-6). Sort w, -3, u in increasing order.\nAnswer: -3, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1902 - 1850. Calculate the greatest common factor of r and 650.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s. Let f(l) = -6453 - 8*l + 6453. Calculate o(f(t)).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*p - 0*p - 586, 4*h + 222 = p. Let v = p + -83. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 371 = 5*m - 0*q, 0 = m - 4*q - 91. Suppose 3*h - 102 = m. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x = 60*y - 97*y + 36*y - 33, -2*y - 3*x - 9 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 34*h**2 - 2414*h - 5. Let t be j(71). Let c(m) = -m**2 - 13*m - 39. Determine c(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 - -0.25. Sort 3, -5, t in increasing order.\nAnswer: -5, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -10*q - 12*q. Let a be -28*3\/21*q. Suppose f = 5*j - 4*f - 180, 0 = 4*j - f - 132. Calculate the highest common divisor of a and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.68 - -0.28. What is u rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**3 - 41995677*k**2 + 83991345*k - 41995671 = 0.\nAnswer: 1, 13998557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1345, 892, 0.22, 0 in decreasing order.\nAnswer: 892, 0.22, 0, -1345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aacaaaaaaaaa. Give prob of picking 1 a and 1 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 0. Let d(b) = -b**2 - b - 12. Let p be d(0). Let m be 0 - (p\/9)\/(-4). What is the second smallest value in m, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5148 + -1.5148. Let w = -1 - -1.5. Put -19\/4, v, w in increasing order.\nAnswer: -19\/4, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2500 (b) -1\/7 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*x. Suppose -9*z + z + 24 = x. Solve -2*g - 5 = z*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 10*k + 3*g - 24 = 0, -6*k - 2*g + 24 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105933 is divided by 52308.\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -151183495*b**2*f**3 - b**2 - 2*b*f**2 + 8*b*f + b - 1256*f**2 + 4*f wrt f?\nAnswer: -907100970*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*((-1)\/4 + (-21)\/12). Suppose 4*g + 13*p - 48 = 9*p, -g = 2*p - 9. Suppose 0 = -5*c + 8*c - g. Solve -q = 2*x - c*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 1, e: 4, d: 3, i: 1, f: 2}. Give prob of sequence of.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 20154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 4*s + 3952 - 3846, 4*s - 7*y + 8*y + 103 = 0 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 72368*m + 2243437. Calculate h(-31).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 7:11 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6704040 is divided by 1427.\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50082835?\nAnswer: 5, 11, 67, 13591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x**3 - 39*x**3 + 5426 - 5526.\nAnswer: -12*x**3 - 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 25 = 0, -7*u = -5*u + 3*o - 2293. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-16))\/(-1)*32\/84.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-6)*8\/6. Let y be ((-1)\/(-5))\/((-39)\/(-65)). Is x smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4303*g - 152*s - 607 + 878 = 4306*g, 0 = -3*g + 2*s - 37 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k + 7 = 0. Let o = k + -5. Suppose 2*a = 4*a - o. Which is greater: a or -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 3*k**2 - k**4)*(-240*k + 1198*k - 553*k + 1126*k).\nAnswer: -1531*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 less than 23.12?\nAnswer: -234.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 334461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*g**2*k**2 + 2*g**2 - 31709*g*k - 69*k**2 wrt k?\nAnswer: 190*g**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*k - 482*k + 2 + 138*k + 122*k as q + s*k and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -21*n - 3. Let w be h(-3). Suppose -4*k - w = k. Let b = k - -22. What is the greatest common divisor of 15 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11352 (base 7) to base 13\nAnswer: -1443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5192 + -2627. Suppose -b = -5*n + 4*j + 893, -4*j = -12. Suppose 826 = -2*a + 5*x - n, -5*a = 3*x + 3862. Round a to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 8*u + 12*u to the form d + h*u and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - (0 + (-17 - -12) + -4 + 3)) + 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 13*v + 12. Let b(p) = -p**2 + 14*p + 13. Let i(l) = 6*b(l) - 7*s(l). Let q be i(6). Round q to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107634107*z - 107634149*z + 215268359*z.\nAnswer: 103*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1238321?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 252296 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(0\/2 - 292). Suppose 3*b - b - 3*l - h = 0, -5*b - 3*l + 751 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 72618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9464*r**3 + 22383*r**3 - 12916*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9025 is divided by 1000?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101 + 320. Let t = d - 132. Is t <= 290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-646)\/(-57)*(-59)\/((-7021)\/210)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28966263*y**3 - 3*y**2 - 138210754*y?\nAnswer: 173797578*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*s - 42 + 42 as h*s + p and give h.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 128\/(-370) - 624\/11544\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 660598?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -66868, -66876, -66880, -66880, -66876?\n\"Answer: 2*j**2 - 14*j - 66856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 98 + -15 + (31 - (8 + 0)) - (-6 - 2)\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3 - 0.65075.\nAnswer: 0.64925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2794 by -4.\nAnswer: 1397\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 3*f - 17. Suppose 2*b + 14 = 16. Suppose 5*d = -15, -5*d + b = -3*h - 5. List the prime factors of o(h).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 (base 6) in base 15?\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - (22 - 49)) + -16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 24 = -s, -3 = -2*s - 5*t + 6. Let u = s - 0. What is the remainder when 45 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {w: 1, p: 5, v: 10, h: 4}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -7)\/((-2)\/72). Suppose -4*b - 5*t + m = -3, -4*b + 4*t + 228 = 0. Suppose -7*d = -102 - b. What is the least common multiple of 2 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**6\/300 + z**5\/150 - z**4\/30 + 8*z**2. Let b(g) = 0. Calculate g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (254 - 53 + 41)*(0*c**3 + 4*c**3 + 0*c**3) + c**3 - 3*c**3 + 4*c**3 - 5*c**2 + 5*c**2 + c**3.\nAnswer: 971*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 18 (b) -21 (c) 4\/5 (d) 4 (e) 45 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 224428624 a multiple of 586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/12 - 122\/183?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1458945120 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d + 7. Let v(k) = -k + 1. Let p(s) = 2*v(s) - z(s). Let h(l) = -l**3 - 6*l**2 - 2*l - 7. Let c be h(-6). Give p(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2641 (base 12) to base 9\nAnswer: 5884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 115405307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1228\/7 + 175. Suppose 7*y = 2*y - 45. Let w be 1\/(-3)*y\/(-24). Sort w, -1, t in increasing order.\nAnswer: -1, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q + 2*q - 4*q)*(q - 2*q + 2*q)*(-9 - 6 + 2) in the form t*q**2 + j + o*q and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1216*q + 610*q + 9*q**2 + 606*q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/18)\/(-13)*7\/(7\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4301140101 + 0?\nAnswer: 4301140101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 673 + 649 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + -2 - 1355*(-17 + 10).\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11372483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562 = -4*p + 110*a, 16*p - 10 = 11*p - a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.03117124.\nAnswer: -0.006234248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-36) + (-4975)\/(-9). Suppose 7*t + 0*t - v = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -626*l**2 - 11802*l + 1737. What is m(-19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.1 + -2.1. Which is the third smallest value? (a) v (b) 26\/9 (c) 2 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 11 = -3*d, 2*d - 52 = -3*t - 46 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1307215170 to the nearest 100000.\nAnswer: -1307200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.45? (a) 5 (b) -0.4 (c) -2\/9 (d) -2 (e) -7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(5\/30*3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621946878 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 214388 and -0.2?\nAnswer: -42877.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zijx when four letters picked without replacement from {j: 1, m: 1, i: 1, x: 1, z: 1, o: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 504.08 and 5.6?\nAnswer: 2822.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 708*r - 809*r + 808 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*y**3 - 139560*y**2 - 61898805*y - 897351075 = 0. Calculate y.\nAnswer: -3459\/4, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 89127 (b) 2\/61 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3177280028 to 2 decimal places.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*b - 139*b - 1250 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 2 = -2*f - 5*i, -2*i = 3*f + 1. Differentiate -2 + 4*d + f - 2 with respect to d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 8 = 0, 106*d - 110*d + 23*p - 190 = 0 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310 = 113*y - 175*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*((sqrt(228) - 2*sqrt(228)*-2) + sqrt(228) - sqrt(228)))\/(-3*(sqrt(120)\/sqrt(72))\/sqrt(5)).\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/2626 and -70\/16182321.\nAnswer: 420740346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23 - -16)*6\/(-14). Let b(f) = -f**3 - 4*f**2 + 5. Let r be b(-4). Suppose -d*v - 8 = -r*v. What is the closest to 1 in v, 0, 5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 3*s**2 + 2*s + 1. What is z(2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 515808519 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v + 1 - 2 + 5 + 4 + v**2. Calculate the remainder when 69 is divided by j(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**4 + 36*b**3 + 201*b**2 + 239*b + 104. Let h(t) = -t**4 + 9*t**3 + 50*t**2 + 60*t + 26. Let j(g) = -6*d(g) + 26*h(g). Factor j(y).\nAnswer: -2*(y - 13)*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000166509 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9564?\nAnswer: 2, 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 11. Let p be g(8). Suppose -2*j - 7 = -j + 3*z, -5*z = p*j + 17. Let m = 7 - 2. Sort m, j, -0.2 in descending order.\nAnswer: m, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6287*a + 50285. Give b(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 + -0.3. Let v = 1.1 - w. Let g = -8 - -6. Sort v, 2\/5, g in decreasing order.\nAnswer: 2\/5, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*n - 40 = -3*r - 1292, -3*n + 2512 = -4*r + 2403 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1212.3 + -1212. What is the closest to -5\/4 in f, 0.05, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_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: Let i(q) be the second derivative of -q**5\/20 - 5*q**4\/12 - 5*q**3\/6 + 8*q. Let b be i(-4). Solve 3*r = 6*r + 9, 0 = 3*y - b*r + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - r + (2 - 1 - 3)*(-5*r + 3*r + 4*r) + 159 - 6*r - 159)*(r**3 + 0*r**3 + r**3).\nAnswer: -22*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2. Let u be (-58)\/580 - 3\/(-5). Let c(q) be the first derivative of 0*q + u*q**2 - 8. What is n(c(j))?\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 35. Solve 0*t - p = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.1193614 nanometers?\nAnswer: 0.0000000001193614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**3 + 2*a**3 - a**3 + (3*a**2 - 3*a**2 + a**2)*(-8*a + 37*a - 12*a) as i + s*a + z*a**3 + v*a**2 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/((-1)\/3 + (-25)\/(-30)). Let l be (2925\/s)\/(-9) - -4. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374031058?\nAnswer: 2, 31, 1487, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 9. Let z = -52 + 57. Suppose 0 = -z*x - y - 3*y + 116, 4*x + y - 84 = v. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + q. Let g(x) = -x**3 + 4*x**2 + x - 2. Let n be g(4). Suppose -3 = -3*y + n*y. What are the prime factors of u(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 330 = -90. Let b be 68\/(-12) - -5 - 44\/d. What is the fourth smallest value in 0, -1\/17, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3455671?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 552\/8*2\/6. Suppose -p = -v - 2*v - 15, 0 = p - 5*v - w. Solve -2*j + 5*k - 2*k + 7 = 0, -3*j - p*k = 27 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 569*x + 43 - 43 + 1222*x + 2035*x in the form s*x + k and give s.\nAnswer: 3826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) + 2*(2*sqrt(77) + sqrt(77))))\/(sqrt(11)*-2*4 + sqrt(11)) - (sqrt(7) - sqrt(252)*-4 - (sqrt(21)\/(-3*sqrt(3) + sqrt(3)))**2).\nAnswer: -169*sqrt(7)\/7 + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - (-22 + -2 + -9)) + 0 + 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2588 divided by -7\nAnswer: -2588\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 9*a**2 - 5*a + 3. Let d be p(8). Let l = 25 + d. Suppose 0 = -l*i + 54*i - 86. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d + 0*d - 4*d)*(-3*d**4 + 20872*d + 16*d**4 - 20873*d).\nAnswer: 26*d**5 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2 + -9)*-35 + 3 + -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 6. Let k be m(-11). Suppose 0 = -s + k*s - 4, 0 = 3*j + 4*s - 52. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6733683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/13)*s**(-6))\/(s**(-3\/11)*s*s*s\/s**(1\/7)))\/(s**(-2\/15)\/s*s**(5\/6))**27 assuming s is positive.\nAnswer: s**(3621\/10010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2 = -2*z, -5*z - 54*m + 50*m = 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11070 or -0.1?\nAnswer: 11070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 601056555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 130. Let v be 4 - 102\/24 - 595\/4. Let o = z - v. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 4*f - 18, 3*b = -5*f + 2*f + 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 2260627725083?\nAnswer: 2260627725084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 18*c**2 + c + 53*c**2 - 27*c**2 in the form s*c**2 + j + m*c and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/1148 in -2\/5, 9, -1\/7, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125 + -176. Let o = 30 + l. Let y be (-22053)\/21 + (-3)\/o. What is y rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 111?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - 11)*28\/(-10). Let g = -30 + b. Let d = g - -6. Calculate the smallest common multiple of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3 - 27*c**2\/2 + 37*c\/2 - 6 = 0. Calculate c.\nAnswer: 1\/2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1940495, 1940477, 1940459, 1940441, 1940423?\nAnswer: 1940405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -4*w + 76 - 27, -c - 3*w = -52 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -3, -2, 8, 0 in descending order.\nAnswer: 15, 8, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 4*z**2 - 12*z - 3. What are the prime factors of b(-6)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21039.\nAnswer: 3, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 100\/14 + (-8)\/4. Let k = -3.1 + 3. What is the closest to k in 3, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -16\/15, 0.1 in increasing order.\nAnswer: -16\/15, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 5 = -2*l + 9*v, 0 = -l - v. Solve 1\/5*h**4 - 1\/5*h**l + 2\/5*h**3 - 1\/5*h - 2\/5*h**2 + 1\/5 = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - -9 - (1 - 1). Let o = -2 + c. Calculate the remainder when 14 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2))**(-5\/2)\/(z**1*z\/(z\/z**(-1))) assuming z is positive.\nAnswer: z**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 4. Suppose t - 12 = -2*t. Let z be t\/(4\/3)*-1. Let c be p(z). Solve -c*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612759 = -3*r + 114*f - 115*f, 5*f = -2*r + 408506. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 5*d**2 - 3*d - 1. Let c be w(-4). Let v be 0\/(c\/4 + (-2)\/(-8)). Suppose -14*n + 13*n + 1 = v. Solve u = 3 - n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540\/8 - (-1)\/2.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**8\/1120 - 3*d**7\/560 + 5*d**3\/6 + 39*d**2 - 2*d. Let i(v) be the first derivative of j(v). Let i(f) = 0. What is f?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2205 divide 2159354295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*v = 57, -2*k + v + 66 = -3*v. Solve -l + 2*g - 5 - 4 = 0, -3*g + k = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*c - 27 + 99 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 10 = 5*i - b, 5*i + 2*b + 19 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyzpbxtybxbbbzxpbb. Give prob of picking 1 t, 2 p, and 1 x.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 679.0715s?\nAnswer: 679071500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-3) - 2\/12*-2. Solve -p = 3*m + 2*m + 20, -3*p = m + a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 2*s - 22 = -15*n, -5*s + 10 = 2*n. Solve 6*g = 3*g - n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 0*q + 4*q + 2*q**3 - 20*q**2 - 49 - 54 + 64. What is v(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 1) + (-3)\/1. Let c be ((-2)\/(-4))\/((-6)\/8). Let u = 6 + -5.5. What is the nearest to l in 2\/3, c, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 188 + -341. Let v = y + 162.3. Let b = -10 + v. Is b greater than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, e: 2, n: 2}. Give prob of sequence knnk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13729672 a multiple of 1428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}