diff --git "a/data/dm_maths/full_data/10428_11255.jsonl" "b/data/dm_maths/full_data/10428_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10428_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -d - 4*g + 1 + 8 = 0, -22 = -5*d + 3*g. Let v be (3\/(-4))\/((-20)\/(-16)). Which is the nearest to 5? (a) d (b) 2\/13 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 12, 44, 108, 216, 380, 612, 924?\nAnswer: 1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2925 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3) - 0)\/(84\/(-126))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379628 is divided by 855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 9\/((-18)\/(-4)). Determine y so that -4*y - 4*y**3 - 9*y**2 - n*y - 3*y**2 - 4 - 3*y = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/19 + (119\/133)\/1. Solve 3*q + 5*t + 4 = -a, t - 2 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39*15\/(-45) - -17. Solve 0 = 2*t - 22*v + 20*v - g, t = -3*v - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*m - 5*r - 49, 3*m + 4*r = 27. Suppose -y + 4*y - m = 0. Let p(c) = 3*c - c**3 - c**2 - c**y - 5*c - c**2. Calculate p(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3 - 2*n**2 + 3*n - 2*n**3 + 8 - n**5 + 3*n**4 - 6 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1042, 8760, 29714, 70522, 137802, 238172, 378250?\n\"Answer: 1103*h**3 - 3*h - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*4*sqrt(1100)*-3)**2.\nAnswer: 4800*sqrt(11) + 3960016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*l + 32 - 20 - 162*l - 12 + 247*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 5:32 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6937 + 6937.1. What is the closest to 0 in 0, 3, -1\/68, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 255, 449, 719, 1089, 1583, 2225?\nAnswer: 3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 19 - 24)*(-v - 2 + 2)*(2 - 5 + 1).\nAnswer: -76*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13010434 - 224?\nAnswer: -13011213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605769909?\nAnswer: 3, 201923303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3145005 - 2?\nAnswer: -3145011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -20121282968.2 and -5110.\nAnswer: -20121288078.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4470557*6.3.\nAnswer: 2.81645091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**3 + q**3 + 0*q**3)*(-3 + 2 + 0)*(72 + 8*q - 72 + (-2*q - 4*q + 0*q)*(7 + 0 - 3)) in the form n*q**4 + b + p*q + i*q**3 + l*q**2 and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**2 - 4*b + 2. Let a be m(-6). Suppose -2*c + 2 + 2 = 0. Suppose -c*g + 0 + a = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2892*y = -2932*y - 120 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-451)\/8)\/11 + 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00202 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7207 (b) 0.3 (c) 1.1 (d) -1\/2 (e) -25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1574\/19 + 83. Is 1 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 32*z**2 - 42*z + 157. What are the prime factors of s(30)?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 81? (a) 8 (b) -37 (c) 39 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 + -5 + 5 + (1 - -4793)?\nAnswer: 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8077385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 480999392 to the power of 1\/3, to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -422 + 416. Let a be (v\/2)\/(72\/(-56)). Sort -1, a, 3 in ascending order.\nAnswer: -1, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/19)*q*q**(-9\/4)*q**0\/q**(2\/23))**11 assuming q is positive.\nAnswer: q**(-27731\/1748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161.0508*-4.\nAnswer: -644.2032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 4205925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 173*b**2 - 111*b**2 + b + 5*b to the form n + w*b + a*b**2 and give a.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 608450?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from {l: 5, n: 3, g: 5, j: 1, t: 1}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3298, 6796, 10390, 14080?\n\"Answer: 48*f**2 + 3354*f - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*-4 + sqrt(102))\/sqrt(6)*-2 + -4*(sqrt(17) + 0 - sqrt(17)) + (sqrt(425) - (sqrt(425) - 2*sqrt(425) - sqrt(425))).\nAnswer: 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -195 (b) 293.8 (c) -1\/49 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f. Suppose -2*z + f = -4. Solve 9 = -3*c - 4*x, -z*x - 3 - 6 = 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28186 (base 9) to base 4\nAnswer: -10222221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsbs when four letters picked without replacement from bbdddbssb?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**5\/160 + j**4\/64 + 41*j**2. Factor o(g).\nAnswer: -3*g*(g - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301896983 to the power of 1\/2, to the nearest integer?\nAnswer: 17375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21436453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, r: 1}. Give prob of picking 2 x and 1 r.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9797 - 9792. Solve -m*t - 8 = -43 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 48.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 13. Determine g(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -25, 13 = 18*j - 20*j + 5*g. Solve j*p + 50 = 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22181415850 + -7.\nAnswer: 22181415843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -631811618.844051 + 631811919. Let j = q + -301.056. Let p = j - -0.9. Round p to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*a**2\/6 + 46*a\/3 + 13\/6.\nAnswer: (a + 13)*(7*a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 7*i**3\/3 - 3*i**2\/2 - 2*i + 6. Let d be a(-3). Suppose -d - 158 = -4*u. Is u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42885 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2638885 is divided by 985.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2041 and 1256.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**23*b*b)\/b)\/b**(9\/2)*((b\/(b*b*b**(-5)))\/b)**(-1\/14))**(3\/5) assuming b is positive.\nAnswer: b**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -280458.\nAnswer: 1\/46743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyhv when four letters picked without replacement from {h: 8, v: 2, l: 2, d: 1, y: 2}.\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 4*d + 4*d)*(-1 + 3 - 1)*(-5 + 2 + 2)*(0 + 3 - 2)*(-5 - d + 5).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6777?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 1\/3, 0.2, -4.1, 57, -1\/4?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14028 and 2505.\nAnswer: 70140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2 + 156*x - 63507. Give h(-147).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 - 65. Let q = f - -2. Let j = 1.2 + -1. Which is the third biggest value? (a) q (b) j (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*x**3 + 10*x**3 - 9*x**3 + (-3 + 2*x + 3)*(3*x**2 - x**2 - 3*x**2) - 2*x**3 + 3*x**3 + 0*x**3.\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 94.1933\nAnswer: 282.5799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 23*d + 2520 = 0. What is the lowest common multiple of 42 and d?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1008*x - 1025 + 469 + 556.\nAnswer: -1008*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3, -3\/26, 0.22 in descending order.\nAnswer: 0.22, -3\/26, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 18*j**2 - 2*j + 41. What is o(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -6*l + 2*l. Let k(m) = m**3 + 11*m**2 - 25*m - 2. Let v be k(-13). Let n = v + l. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, 1\/2, -37?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19320780 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11810 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -71110 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1504676 or 2\/5?\nAnswer: 1504676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1395943, -2791888, -4187833, -5583778?\n\"Answer: -1395945*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 9:41 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/30 + (-64)\/(-60))\/((-18)\/9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**12\/h*h**(1\/7))\/(h**(-2\/17)\/(h\/(h\/(h\/(h*h**0))))) assuming h is positive.\nAnswer: h**(1340\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -427 (b) -3 (c) -1\/3 (d) 0.5 (e) 1 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 20 = x. Is 3 a factor of (-2)\/(-1*x\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*s - s + 11, -s - 3*l = 14. Suppose -f - x - 4 = -s, -f + 3*x + 17 = 0. Suppose d + 4*y = 103, -d - y - 93 = -f*d. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + sqrt(130)\/sqrt(5))\/sqrt(2) - (sqrt(13) + sqrt(104)\/(1*sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 5*i**3\/3 + 1913. Let v(x) = -x + 240. Give v(s(q)).\nAnswer: -5*q**2 + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - 1 + 1 + 0 + 0 + 2*c + (0 - 4 - 5)*(-3 + 3 + 2*c))*(-241*c + 64*c - 625*c) to a*c**2 + b*c + j and give a.\nAnswer: 12030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 20*c**2 + 25*c - 16. Let n(s) = s**3 - 20*s**2 + 24*s - 17. Let h(j) = -5*n(j) + 4*z(j). Let q be h(19). Solve -4*b + 4 = -q*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/7)*y\/(y*y*y\/(y*y\/(y*y**5*y))))**47 assuming y is positive.\nAnswer: y**(-2115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19825 is divided by 9903.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, -3, 5, 0 in decreasing order.\nAnswer: 5, 0, -0.13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 12. Let p be h(11). Let w(n) = -7*n**3 - n**2 + 1. What is w(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*w + 16. Suppose -2*g + 2 + 4 = -2*d, -g + 2*d + 4 = 0. Suppose n + 49 - w = 3*h, 0 = -h - 4*n + g. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 != -29619231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 21 = 2*z, -2*z = -w - 2*w + 15. Suppose -17 = -w*v - 4*j, -v - 1 = 2*j - 10. Which is greater: 0.24 or v?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1386*g + 363134. Determine p(-262).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2340 is divided by 148.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 33*d + 81. What is i(21)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d. Let m(v) = 11*v. Give r(m(t)).\nAnswer: -77*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -55655*t + 27825*t + 27828*t. Let r(s) = -158*s**2 + 2*s. Calculate z(r(o)).\nAnswer: 316*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13176659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000098 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*1*(822\/(-4))\/(-3). Suppose 5*t - a = 4*t. Suppose 7*f + 113 = t. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 16*l**2 + 3*l + 1. Let w be v(-1). Let c(d) = -d**2 + 10*d + 52. Let f be c(w). Suppose 10*a - 35 = 5*a. What is the closest to 0.1 in a, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121121 - -2213113?\nAnswer: 3000300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(8\/(-10))*-2. Let d(k) = -k**3 + 5*k**2 + 7. Calculate the lowest common multiple of 4 and d(c).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = k + 128, 2*h + k - 28 = 19. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 4:59 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*2 + -5 + -1)**2.\nAnswer: -288*sqrt(19) + 10980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f + 3*f)*(-f + 1 - 1) + 46*f**2 + 184*f**2 + 543*f**2.\nAnswer: 771*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 3*h + 0*h + (4*h + h - 3*h)*(-4 + 3 + 0).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2237 = -l, l + 4477 = 3*f + f. Let u = 1146 - f. Let w = -39 + 117. What is the remainder when w is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8377076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p + 10. Let z = 75.921 - -0.079. Let g = z + -75.8. Which is the third smallest value? (a) -0.5 (b) g (c) 2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 12467?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 78546, 314204, 706968, 1256838, 1963814, 2827896?\n\"Answer: 78553*q**2 - q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 137.8 and 7770208?\nAnswer: 7770070.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-9))\/(((-11440)\/78)\/(-44))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - z + 5, 3*s - z + 5*z + 8 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + 3 + ((sqrt(99) - sqrt(99)*-2) + sqrt(99))\/sqrt(9) + (sqrt(132)*2)\/sqrt(12))**2.\nAnswer: 12*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1736374?\nAnswer: 2, 103, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 44 (b) 0.14 (c) 0.3 (d) 1 (e) -0.2 (f) -0.033\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 533 and 128453?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*d - 8, -3*o + 0*o = -d + 4. Solve 0 = -3*z - 5*p + 15, o = -0*z - 4*z + 4*p + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -39*t**3 + 567*t**2 + 780*t - 1308. Let w(m) = 8*m**3 - 113*m**2 - 157*m + 262. Let u(q) = 5*a(q) + 24*w(q). Factor u(c).\nAnswer: -3*(c - 42)*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h - 21 = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3959, -3996, -4057, -4142, -4251?\n\"Answer: -12*w**2 - w - 3946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 30*n**2 - 44*n + 64. Let y be q(28). Calculate the highest common divisor of 80 and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + (-15)\/(-10))\/((-2)\/20). Let v be ((-15)\/s)\/(2\/(-8)). Suppose 0 = -2*b + v*b - 236. Does 22 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n**2 - 4*n - 3. Determine g(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 474 + -473.9. Which is the nearest to 2\/3? (a) 2\/9 (b) h (c) 1\/3 (d) 112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320117105 to the nearest integer?\nAnswer: 17892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 10*y**3 - 352126*y**2 - 1549532*y - 563472 = 0?\nAnswer: -4, -2\/5, 35217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1884150 and 41475?\nAnswer: 13189050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 313 and 108186259.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmng when four letters picked without replacement from ddnmnddggvvn?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**3*c*x + 21*b**3 - 2*b**2*x - 380*b*c*x + 4*x wrt c?\nAnswer: -b**3*x - 380*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8844 by -22.\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**5\/120 + 5*l**4\/24 - 73*l**3\/6 - 15*l**2. Let z(v) be the first derivative of p(v). Let a(q) = 1. Give -15*a(s) + 3*z(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1265*d**2 + 138*d + 138. Let n(j) = -46*j**2 + 5*j + 5. Calculate 5*l(m) - 138*n(m).\nAnswer: 23*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 5 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3207\/(-176385) - (-6598)\/(-110)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3371.645 + 3364. Let v = 7 + j. Round v to 2 dps.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -54. Let z = 72 - k. Let r = z - 11. What is the remainder when r is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -559 + 796. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 11*x - 25. Let n be p(7). Suppose -3*g = -6*g + 9. What is the second derivative of -9*r**3 + 8*r - 8*r**g - 10*r**5 + 17*r**n wrt r?\nAnswer: -200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**2\/3 - 1367024*k\/3 + 72463508\/3 = 0.\nAnswer: -341809, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**5 - 9*h**4 + 739*h**2 - 1754*h wrt h?\nAnswer: -20*h**3 - 108*h**2 + 1478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.434 and -1?\nAnswer: -0.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300933669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 13.14611?\nAnswer: -13.04611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141021 - -1012?\nAnswer: -140004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 13*u**2 + 8*u**2 + 4*u**2. Let n(p) = -p**3 + 11*p**2 - 11*p. Calculate 2*n(o) + 22*w(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h = -16638. Let d = h - -299389\/18. What is the common denominator of d and -11\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -15\/7. Let m = -0.44077 + 1.84077. Which is the smallest value? (a) m (b) 1 (c) q (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139420650 by 27884130.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 720420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/3 - 1127*g**2 - 117326*g\/3 - 240912.\nAnswer: -(g + 8)*(g + 27)*(g + 3346)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 12. Let b be 1 + -4 - (-3 - w). Solve 2*m = b*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1465521?\nAnswer: -5\/1465521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*m, -5*v + 3*m - 95 = -2*m. Calculate the remainder when 35 is divided by 30*(-1 + (-21)\/v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 976626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31788 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61860 by 12372.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2575.02985 rounded to one dp?\nAnswer: -2575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -19. Which is bigger: p or -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1366\/10 + (-33)\/55. Suppose w = -6*z - 56. Let o = -29 - z. Solve -j = 1 - o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42\/37 + -778\/555. Is h at least as big as -0.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hph when three letters picked without replacement from {e: 1, t: 2, p: 3, a: 1, h: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:02 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8844675 + 2?\nAnswer: 8844677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, i: 2}. What is prob of sequence zziz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 8:44 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/3*1\/(-3). Suppose -d = -6*d + 10. What is the second derivative of x**3 + d*x - 4*x**p + 4*x**2 wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 40*q**2 + 794*q + 36877. Determine t(-42).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 - -7.4. Let m = 6 - o. What is the second biggest value in -0.5, 0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*h = 12, h = 4*c + 10 - 6. Solve -10*s - 9*s + 17*s = c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -33*l**2 + 806*l - 31. Give s(24).\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 2 - -1*4\/4. Suppose z*m + 2*i = 598, -3*i - 578 = -5*m - 0*m. What are the prime factors of m?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4 - 3 - 2*s + 2. Let y be (-48)\/(-624) + (-66)\/13. Give m(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 757, 758, 759?\nAnswer: 760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39809270 and 50.\nAnswer: 199046350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/20 - (-4)\/(-10). Let y be (2 - 4\/2)\/(-1 + n). Solve -2*m + 0*m + 2 = y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2997420.\nAnswer: 2, 3, 5, 49957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -7.5. What is the biggest value in o, -4, 4\/3, -6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u = -3, 0 = 2*s + 2*u - 666. Suppose -3559 = -158*p + 2287. Calculate the remainder when s is divided by p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1152297?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 + 18\/12. Suppose -g + 2*z + 275 = -r*z, -2*g + 540 = 2*z. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 34. Let s = t + 48. What is the highest common divisor of 98 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - s + 1. Let k(w) = 10*w**2 + 12*w - 3. Let q(z) = 10*z**2 + 14*z - 2. Let c(m) = 4*k(m) - 3*q(m). What is -c(x) - 6*y(x)?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36 - 108.076?\nAnswer: -108.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 171844 to the power of 1\/2, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3 + 5*h**3 - 3*h**3 - 3*h**3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*j - 0. Let k(c) = c**3. Let g(v) = v**5 - 2*v**3 - v**2. Let h(r) = j*g(r) + 2*k(r). Find the third derivative of h(w) wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 332, 5, -1\/13, 0.2, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 117.2919 and 3123253.\nAnswer: 3123370.2919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63340146?\nAnswer: 2, 3, 79, 44543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + sqrt(132) + -2*sqrt(132))*-4*3)\/((sqrt(240) + sqrt(240) + (sqrt(240) - sqrt(240)*-4) + sqrt(240))\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 8*l**2 + l + 4. Let x be s(8). Let o = 28 - x. Find the second derivative of -6*n + o*n + 94*n**2 - 82*n**2 wrt n.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 445251?\nAnswer: 445251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -531\/4*c**2 + 0 - 66*c - 3\/4*c**4 - 135\/2*c**3.\nAnswer: -3*c*(c + 1)**2*(c + 88)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4663, 2\/2531, -2, -2\/13?\nAnswer: 2\/2531","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 84352, 84463, 84570, 84673, 84772, 84867, 84958?\n\"Answer: -2*u**2 + 117*u + 84237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 612\/5 + 1\/10*f**2 + 161\/10*f.\nAnswer: (f + 8)*(f + 153)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z + 360 + 114 = -483 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -51 (b) 1\/3 (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 185435\/44324 + -8\/1583. Calculate the common denominator of -143\/6 and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 87e - -3?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from {v: 2, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 538159961\/180 - 2989713. Let g = -7\/180 - m. Let z = g + 65. Put z, 2, 3\/4 in decreasing order.\nAnswer: 2, 3\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8003 or 8052?\nAnswer: 8052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000069 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30516 = 8*r + 4*b, -2*r + 9*b + 7633 = 6*b. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 2*i + 2. Suppose 1407 = 8*r - 3241. Suppose 0 = -10*y - 511 + r. Let q(k) = 2*k**3 - k**2 + 7*k - 7. What is y*o(w) + 2*q(w)?\nAnswer: -3*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 a, and 1 f when three letters picked without replacement from aaaaiufaaiayfv.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 45*d**3 - 168*d**2 + 164*d.\nAnswer: -d*(d - 41)*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/6)\/((-1)\/10). Suppose -2*x - 21 = l*k, 0 = 4*k + 5*x + 40 - 13. Is k*((-3)\/(-3) - (-916)\/(-3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/(-1 - 3\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*c + 10 - 153*c - 10.\nAnswer: 77*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -36\/35 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 4*p - 2. Let v be f(11). What is the greatest common divisor of v and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 + (4 - 16 - (-134 - -38 - -44)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124820, 249466, 374122, 498788, 623464, 748150?\nAnswer: 872846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2. Let f(q) = 2*q**2 - 9*q - 27. Let a(n) = f(n) + s(n). Let p be a(5). Put -10, 0, 5, p in descending order.\nAnswer: 5, p, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 19*a + 97. Suppose 0 = -14*l + 19*l - 150. Is q(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295765279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*f**3*l**3 + 4*f**3*l - 24*f**2*l**3 - 213*f*l + 2*l**2 wrt l.\nAnswer: -90*f**3*l - 144*f**2*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 + a - 1. Let z be h(1). Let c be ((-44)\/12 + 2)*z - 1. Suppose -4*w + 676 = 4*k, 5*k + 276 = c*w - 355. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3063783 is divided by 744?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 13*y = -15*y - 96000, -4*v - 4*y + 95988 = 0. Calculate the highest common factor of 103 and v.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 5*c + 1. Suppose 5*p = 213 + 7. Let r = p + -39. Let x(n) = n**2 + 5*n - 1. Let g(z) = r*b(z) + 6*x(z). Calculate g(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 + j**4 - 3*j**4 + 0*j**3 + 0*j**3 - j**4 - 18*j**3 - 10*j**4 + 18*j**3 + 2*j**4 - 3*j**4 + 3*j**4 + (1 + 1 - 3)*(j - 2*j**4 - j).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -134? (a) 11 (b) 9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 14 + (-8 - (-14 + 3)) + -30?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -6. Let x(s) = s. Let b(k) = k**2 - 4*k. Let y(q) = m*x(q) - b(q). Let p(n) be the third derivative of -n**5\/5 + 14*n**2. Give p(y(j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f - 23*f - 40*f + f.\nAnswer: -82*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.033 in 3\/13, -1, 345, -0.8?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*v = 82*v - 32. Let l be (113 + 8)*2\/v. Factor 12*o - 165\/4*o**2 - 1 + l*o**3.\nAnswer: (o - 1)*(11*o - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2931616 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 y = -69.4 + 69. Let w = -0.5 + 2.5. What is the biggest value in -0.5, y, w, -38?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 1:11 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 980 - 973. Let l = -13 - -21. Suppose -5*q = 4*w + l, q - 2 = -0*w - 2*w. Let p(s) = -5*s**2 + 7. Let m(i) = 2*i**2 - 3. What is w*p(d) + y*m(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhtmttthjhtttj. Give prob of sequence jt.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -618.59 take away 998470126?\nAnswer: -998470744.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 4*w + 8. Suppose -9 = -0*g - g. What is the lowest common multiple of w and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 1432088359.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2893981*-45.\nAnswer: -130229145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1149*p + 203*p + 235*p + 122*p + 207*p + 206*p + 235*p.\nAnswer: 59*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-44)*(-49 - -53).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2561183495 to the nearest integer?\nAnswer: 50608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1384)\/(-1038))\/(4\/(-21))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**3*w - 26942104*m**3 + 86091*m**2 - m*w + 11*m - w + 4 wrt m?\nAnswer: 24*w - 161652624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + d = 2*t - 2, -3*d - 9 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -598714*a**3*u + 197*a**3*v - 117*a**2*u*v - 2*a**2 + 5*a*v + 83*v wrt u.\nAnswer: -598714*a**3 - 117*a**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 4*j**3 + 9*j + 8*j + 5*j**2 - 14*j to the form l*j**3 + a*j**2 + c*j + m and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2781?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1847335 and 53\/14805.\nAnswer: 16626015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -40*o**2 + 65. Let f(v) = -4*v + 5. Let x be f(0). Let i(n) = -27*n**2 + 43. Let q(k) = x*j(k) - 7*i(k). What is the first derivative of q(y) wrt y?\nAnswer: -22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 3*f**2 + 2. Let u(s) = -s**2 + s + 3. Let g be u(0). Let x be y(g). Suppose -x*o = -o. Solve 0 = 2*q - 6 - o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.1 (b) -1701 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(2\/11))\/d*d**(2\/3))**(-6\/11))**(-41))**(-11) assuming d is positive.\nAnswer: d**(-2296\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*k**4*l - 17*c*k**3 + 10*c*k*l + 2*c*k - 3*k**4*l + k**2*l - 17 wrt k?\nAnswer: -48*c*k*l - 102*c - 72*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.77745 to 3 dps.\nAnswer: -0.777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 372 and 395436.\nAnswer: 395436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**3 + 4*c**3 + 29*c**3.\nAnswer: 22*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in 1, 0.3, 5, -0.3, -31?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j - 42*j + k + 95 = 0, j - 6*k - 39 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 359*x**2 + 19*x**3 - 359*x**2.\nAnswer: 19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z + 32. Let f be t(14). What is the common denominator of ((-10)\/4)\/(((-33)\/f)\/(-3)) and 21\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87*d**2*p**3 + 3923*d**2*p + d*p**3 - 20905*d*p**2 - d + 3*p - 1 wrt p?\nAnswer: -522*d**2*p + 6*d*p - 41810*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -8\/3639, 0.1, -2 in descending order.\nAnswer: 2, 0.1, -8\/3639, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25\/6*s**5 - 5\/6*s**2 + 0 + 5\/2*s**3 + 0*s + 15\/2*s**4 = 0. Calculate s.\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 6450128*r - 6450132.\nAnswer: 4*(r - 1612533)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8816*s + 17415*s - 8643*s.\nAnswer: -44*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -25*h**4 - 149 - 6\/5*h**5 - 62\/3*h**3 + 0*h + 16*h**2. Solve t(n) = 0.\nAnswer: -16, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -14100044?\nAnswer: -14100035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -156407 less than 0.056295?\nAnswer: 156407.056295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197577615 - 355*z**2 + 197577615.\nAnswer: -355*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -234 + 334. Let z be (-10 - -3)*1*(-8)\/28. Suppose -4*u + 68 = 3*j, z*u = 56*j - 52*j + 34. Calculate the remainder when m is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85 by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95.56037l?\nAnswer: 95560.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 11 + 10 = 0. Let h(q) = q**3 - 12*q**2 + 5*q - 4. Let v(l) = 2*l**3 - 35*l**2 + 15*l - 11. Let k(y) = -8*h(y) + 3*v(y). Does 30 divide k(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 3*n + 1. Let r be b(-3). Let h = 0.09 + 0.02. Let v = -4.89 - h. What is the closest to r in -3\/5, -2, v?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*f**4 + 6*f - 17*f**4 - 4*f**5 - 11*f**4 wrt f?\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 5:15 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34108746?\nAnswer: 2, 3, 7, 37, 47, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6245237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12975, 36210, 59445?\n\"Answer: 23235*t - 10260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (53\/795)\/((-2)\/(6*2)). What is the closest to 1 in 2\/5, 31\/4, -5, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**3 - 494*f**2 + 97*f - 14. What is m(-99)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7825487 bigger than 13\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/233755?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*p - 183*p - 147*p - 161*p - 15*p.\nAnswer: -187*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*b - 27, b + 15 = -n + 4*b. Let c(p) = -p - 5. Calculate c(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 8. Let n be w(-5). Suppose 0 = -n*a + 131 + 4. Calculate the greatest common factor of a and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/39 + -23 + (-2440)\/(-104)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -55. Let x(i) = i**2 - i - 1. Let c(v) = -8*v**2 + 8*v + 7. Calculate o*c(g) + 6*x(g).\nAnswer: -2*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j - 11. Let c be k(-7). Let y be ((-34)\/4)\/(c\/192). Let w be 2\/10 - y\/280. Is 3 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-120))\/((-66)\/62262). Let t = 259\/22 - a. Find the common denominator of t and -143\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(5*(-3)\/(-30))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 45 + 53 - 143 + 45.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 155 = 5*g, 7*g + 5*o - 142 = 3*g. Calculate the remainder when g is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26510, -33199, -39888, -46577, -53266?\n\"Answer: -6689*k - 19821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-253 - 23 - 7 - 261)*(-2*r**3 + 2*r**3 - 2*r**4 - 3*r**4 + 2*r**4 + 0*r**4 + (-2*r**2 - 2*r**3 + 2*r**2)*(4 + r - 4) - 2*r + 2*r + 2*r**4).\nAnswer: 1632*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -2. Let p(x) = x. Let k be p(q). Which is the closest to 1\/3? (a) k (b) -2\/7 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41601055?\nAnswer: 5, 8320211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 153706 + 2958\nAnswer: 156664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(192\/3132)*(1\/(-18))\/(8\/32)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2002 - 10?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 43*b**2 + 1. Let o = 2 + -1. Suppose -15*v - 109 + 289 = 0. What is the remainder when c(o) is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/((-120)\/16))\/((-12)\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -241.7 rounded to the nearest integer?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 18*a - 14. Give r(-17).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by (19\/38)\/((-2)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*i - 16 + 72 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34480551 rounded to the nearest one million?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 - (162 + -193 - (-4 + 15 + -3)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*h - 1. Let q be h - (4 - 3)*-2. Suppose -3*r + 7 = w, r - 4*w - 1 + 3 = 0. Calculate the greatest common divisor of r and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = -8. Let z be 9 + -10 - 0\/(-2). Sort -4, f, z in increasing order.\nAnswer: -4, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11242646 - -4?\nAnswer: 11242652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 4*s**2 + 2*s + 5. Let h be (-14)\/(-63) + (2 - 2\/9). Suppose -h*k - 9 + 17 = 2*t, 1 = -t + 4*k. What is x(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30969176 and 583590.\nAnswer: 464537640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-45)\/(-15) + (-50)\/14. Let r be (-3)\/1 + (-174)\/(-45) + -1. What is the nearest to 3 in w, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nxnnnxxnxxsnxxnnxxx?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 > -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvtc when four letters picked without replacement from zmmimccztvmc.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + sqrt(396)) + 4 + 1*sqrt(396) - (sqrt(396) + -4*(sqrt(396) + 3) + sqrt(396) + sqrt(396) - (-5 + sqrt(396) + 3)))**2.\nAnswer: 144*sqrt(11) + 3580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7679225 is divided by 190.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.32 + -0.82. Let b = -4.5 + i. Put -3\/7, -2, b in increasing order.\nAnswer: b, -2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 25*r**2 + 290*r + 440.\nAnswer: -5*(r - 11)*(r + 2)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*r**4 + 2*c**3 - 7122172*c**2*r**4 - c**2 - 1087*c*r**2 - 16*r + 5 wrt r?\nAnswer: -48*c**3*r - 170932128*c**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2541)*-1 + sqrt(2541) - sqrt(21))\/((sqrt(36)\/sqrt(4))\/sqrt(3)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -300\nAnswer: -23\/300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144346 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -455 - -613. What is the remainder when u is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-364)\/(-585) - 16\/40. Which is the third biggest value? (a) 60 (b) 2\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40020 is divided by 10004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 25. Factor -2*b**2 + l*b - 13*b - b**2 + 24 - 11*b.\nAnswer: -3*(b - 1)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219221653.\nAnswer: 13, 401, 233881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from {u: 3, z: 15}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/3)\/((-26)\/(-1404)). Suppose i*w + 334 = 37*w. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 98*u**2 - 3*u**4 - 249*u**2 - 112 + 12*u**3 - 41 - 366*u - 125*u**2 - 78*u**3 = 0.\nAnswer: -17, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111 + 72. List the prime factors of ((-169)\/b)\/(2\/42).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130836 is divided by 3189?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6799\/5807 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0007 - 50210789.52.\nAnswer: -50210789.5193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 501, -2, 6, -6, -4 in ascending order.\nAnswer: -6, -4, -2, 6, 74, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 2, h: 2}. What is prob of picking 2 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, -26, -62, -120, -206, -326?\n\"Answer: -p**3 - 2*p**2 - 7*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 632 (base 7) to base 3\nAnswer: 102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1394*m**2 - 49409*m + 49408*m - 848*m**2.\nAnswer: -2242*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183571 is divided by 2063.\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 11. Calculate a(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -18*l**3 - 3*l**2 + 2*l - 4. Is k(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -3*(sqrt(17) + 0) + sqrt(544)\/sqrt(2))**2 - (sqrt(68)*1 + 2)**2.\nAnswer: -8*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -148319432*f**4 + 2*f**3 - 11870475*f**2 - 11.\nAnswer: -3559666368*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 13*o. Let z(l) = 5*l + 4. Let n be (-40)\/16*(-1 - 1). Let s(x) = -9*x + 10 + 14*x + n + 13*x. Let w(c) = -4*s(c) + 15*z(c). What is w(b(p))?\nAnswer: 39*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -8. Let n be w\/1 + (3 - 6). Let u be -9*1\/9*n. Is -1 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -9. Suppose -d - f = -c*d - 5, 0 = 4*d - 4*f - 36. What is the derivative of 0*s**4 - 3*s**4 + d - 10 wrt s?\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6543.38 and -0.93.\nAnswer: 6542.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**4\/4 - 4*r**3\/3 - 3*r**2\/2 + 5*r + 1641. Let g be 10*(1 - (-2)\/(-4)). Suppose -g*c = -17 - 8. Give s(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/18)\/(1\/(-9)). Suppose 3*w = -b*c + 45, 5*w + 3 = 2*w. Calculate the remainder when c is divided by (-2)\/(-7) - (-183)\/21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -4 + -14 + 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8760)\/(-219)*(-15)\/50.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - s**5 + 2*s**5 + (-s**2 + 2*s**2 - 2*s**2)*(35*s**3 + 16*s**3 - 84*s**3).\nAnswer: 35*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**5\/90 - 109*q**4\/36 - 20*q**2 + 25*q. What is r in c(r) = 0?\nAnswer: -109, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - o. Let y(t) = -5*t**2 + 4*t. Let z(j) = -12*g(j) - 3*y(j). Let m(h) be the second derivative of -h**4\/12 + h. Determine z(m(l)).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -781 + 4801. Suppose 0 = 3*h - 3*y - x, -5*h + 2668 = -3*h - 5*y. Suppose -3*g = -4*c + 2*g + h, -3*c + 5*g = -1008. Is c a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -64?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4270, 8553, 12832, 17107, 21378, 25645?\nAnswer: 29908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -825 + 823. Let w = 2.03 + -0.03. Let y be (1\/2)\/(5 - 2). Which is the nearest to z? (a) y (b) w (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 2961?\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-524480)\/35760*21\/(-4).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*2\/(-4)*-1. Let s = -24 + 27. Suppose v*x - k - 30 = 0, s*k = -k. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 5*l - 6. Calculate s(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 122361 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-28)*924\/(-88).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3 - 25920*z**2 + 56013111*z - 111922566 = 0. Calculate z.\nAnswer: 2, 4319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10*g**3 - 136*g**2 - 4*g - 41. What is t(14)?\nAnswer: 687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401 + 1135 = 8*n. Suppose -207*x = -211*x + n. Let w be (0 - 2 - -5)*40. What is the highest common divisor of w and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 + 65.44.\nAnswer: 64.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -48*o + 2. Let b = -102 - -107. What is the remainder when v(-2) is divided by (-102)\/(-5) - 2\/b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2 - 32028*m = 0 for m.\nAnswer: 0, 10676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 25*s - 2 = 0. Put s, 2, 4 in increasing order.\nAnswer: s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6858158 * -0.01.\nAnswer: 0.006858158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112 - 2?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -6141?\nAnswer: 6136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-44)\/(-55))\/((-4)\/10). Let z be -1*((-3)\/(-3) - 13). What is the units digit of 1 - ((-4)\/s - z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 60*z - 58*z - 25 = 0, -5*z + 31 = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 222 - 222. Suppose 6*c - 2*c = 0. Suppose -3*z + t*z = c. Solve -n = -z + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4547\/12 + -379. Which is the closest to -2\/3? (a) y (b) -10.8 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-2)\/54)\/(28\/(-63))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*i + 33, 7*f - 3*f - 3 = -i. Sort f, -5, -7, 5 in increasing order.\nAnswer: -7, -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 364*c**4 - 1526*c**3 - 8412106 wrt c.\nAnswer: 1456*c**3 - 4578*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 29 (b) 11 (c) 2\/17 (d) -0.39 (e) 2\/5 (f) 0.3 (g) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2887*j**2 + 6760?\nAnswer: 5774*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 2*t + 2. Let o be k(5). Suppose 1 = -2*b - 1. Does 4 divide (b - 1) + o\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 21 - 43)*(15*a - 374 + 374)*(0 + 2 - 1) to the form w + m*a and give m.\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/76*448\/42?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -9*d + 16. What is the third derivative of -f**d - 46*f**5 + 12*f**2 + 13*f**5 wrt f?\nAnswer: -2040*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.061037 rounded to three dps?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/49 and 48\/49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2394 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 0*n + 0*n**3 + 1\/336*n**8 + 4*n**2 + 0 - 1\/12*n**4 + 1\/120*n**6 + 1\/20*n**5 - 1\/70*n**7. Let b(v) = 0. What is v?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1854 + 3814 - 1960 - 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3060.99991093 + 3061. Round z to 6 dps.\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 - -313\/4. Let f(j) be the first derivative of -1\/16*j**4 + c*j**2 + 0*j + 1\/12*j**3 + 2. Solve f(z) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 747 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14902*d**3 - 7294*d**3 - 7595*d**3.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2408 - -177?\nAnswer: 2580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 9. Let u(l) = 5*l**2 - 5 + 0*l**2 + g*l - 4*l + l**3. Suppose -30*i - 160 = 10*i. Calculate u(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131373*m**3 + 136456*m**2 wrt m.\nAnswer: -788238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -19.6*12388\nAnswer: -242804.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3258036 by 543006.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20645 + -20644.999969328. What is s rounded to 7 dps?\nAnswer: 0.0000307","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - x - 1. Let f(o) = 3*o**3 - 4*o**2 - 4*o. Let k(r) = f(r) + 2*n(r). Let p be (5 + (-10 - 0))*3*1\/(-3). Give k(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v*v**(-4)*v)\/v*v*v*(v\/((v\/((((v\/(v*v**(-2\/49)))\/v)\/v*v)\/v))\/v))\/v*v*v\/v**9*v*v\/(v\/((v\/((v**(1\/7)\/v*v*v)\/v))\/v*v)) assuming v is positive.\nAnswer: v**(-348\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -50. Let r be g\/2*-6 + 33. Suppose -15*z = -5*z - r. Which is greater: 8 or z?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235, -306, -397, -520, -687?\nAnswer: -910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -112, -224, -336, -448, -560?\n\"Answer: -112*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**2 + 101 + 17*v**2 + 5*v**2 - 24*v**2 + 16*v**2 - 101.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/20860715 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03846635 rounded to 4 decimal places?\nAnswer: -0.0385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 551*v**2. Let o(m) = -m**2 + 11103. Determine o(n(c)).\nAnswer: -303601*c**4 + 11103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -569 + 594. Solve 0 = -5*v - 5*r - q, -v - 57 = -2*r - 55 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -5 (c) 2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114445 is divided by 2600?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*j - 86*j - 86*j - 79*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**4\/8 + 20*w**3 + 79*w**2. Let c be d(40). What is the biggest value in 5, c, -4, -63?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/4 + 9\/12. Let t be ((-4)\/(-8))\/(p\/40). What is the second derivative of -2*c**5 - 2*c**t + 19*c + c**5 wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 43 = 6*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (113 - (-6 + 4))\/((-2)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6826, 6822, 6818, 6814, 6810?\n\"Answer: -4*j + 6830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*b + 29*b - 31*b + 47*b in the form l + y*b and give y.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (304593\/9)\/((-2)\/108). Let p be x\/48220 - (-2)\/5. Let j = p + 1\/2411. What is the common denominator of -62\/9 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 322*o - 162*o = 156*o + 32, 2*y - o = 82 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**3\/6 + 17*m. Let o(x) be the first derivative of 5*x**2\/2 - 2. Give w(o(g)).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + 18*i**2 - 28*i - 75. Determine u(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015315 rounded to 6 decimal places?\nAnswer: 0.000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141811 + -28469. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0325 + -44.8325. What is o rounded to 0 dps?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, 2, 1\/4, -1.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-56)\/(-8))\/(-42)*-40)\/((-7)\/((-63)\/102)).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.05 to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q**2 + 537*q + 2829. Give d(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11901 + -11789. Solve -142*j - o = -156*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Let k = -219 - -222. Calculate the lowest common multiple of k and (-3)\/(-3)*(p + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -15.01. Let o be (-1 - 0)*(5 - 10). What is the nearest to 2\/7 in o, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1, 2.46?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10 + 7*j**3 - 6 - 3 - j - j**2. Calculate l(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-5\/6)*y*y**(2\/3)*(y**(1\/4))**(23\/2) assuming y is positive.\nAnswer: y**(113\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 655500825 by 26220033.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217.22031 months to decades.\nAnswer: 1.81016925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 1217 - 36*q - 1213 + (-4 + 3 - 1)*(3*q + q - 2*q).\nAnswer: -41*q + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 62*m**2 - 43*m + 132. Calculate the smallest common multiple of 18 and q(3).\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 + -11 + -3 + 8 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/28 - -5*10\/175. Let u be (-4)\/(-10) + (-80)\/150. What is the closest to u in 4, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) + (-6062)\/(-56). Suppose -107*p = -113*p + j. Which is bigger: p or 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 482273 by 11.\nAnswer: 43843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 49 = -0*y. Suppose y*q = 2*q + 10. Suppose -37 = -v - 4*w + 7, 3*v = -q*w + 162. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 2. Let c(v) = -v**3 + 3*v**2 - 2. Let z be c(3). Let f be z\/10 + (-78)\/(-15). What is the closest to -1 in f, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 196818895*j**3 - 1 + 196818756*j**3.\nAnswer: -139*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12\/13*(-6747)\/(-1384)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7210 and 2242310.\nAnswer: 2242310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q - 25. Suppose q*g - 25 = -0*g. What is the remainder when 9 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -132*k + 90. List the prime factors of l(-4).\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (312 - 316) + (-1 + -36 - (4 - 3)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 7*r + 8. Calculate c(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 46299424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21419461 to the power of 1\/2, to the nearest integer?\nAnswer: 4628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59747\/18 - 3319. Let a = 0 - -1. Is a bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 3, s: 4}. What is prob of sequence sf?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from hwrvhhpvwww.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**2 + 16*m**2 - 26*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 29. Suppose 0 = m + m - v. What is the lowest common multiple of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*r + 6*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 8*t + 1. Let r be x(-8). Find the third derivative of 2*w**2 + 3*w**3 + 4 + r + 4*w**3 - 4*w**2 + 5*w**4 wrt w.\nAnswer: 120*w + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(425) + 2) + (sqrt(136)\/(sqrt(8)*-2) + 1)**2.\nAnswer: 69\/4 + 29*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156230.\nAnswer: 2, 3, 5, 29, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 16. Suppose 3*d = -r - 7, -6*d + 2*d - 8 = c*r. Solve 0 = p - 5*x + r, 1 = -3*p - 4*x + 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 13*p**2 - p - 7. Suppose 0 = -6*b - 13 - 23. Let m(f) = -12*f**2 + f + 8. Let j(o) = b*m(o) - 7*n(o). Determine j(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12 + -23 - -40) + -16 - -41) + (0 - 1).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 788 - 698. Calculate the greatest common factor of 1962 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -398401\/152 - -45936\/19. Let s = f - -203. Which is the closest to -1\/5? (a) -0.05 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, j: 3, d: 2}. Give prob of picking 1 d, 1 f, and 2 j.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*r = 4*v, -3*v + 26 = 5*r. Let s(l) = 27 - 3*l**v - l**2 + 3*l**2 - 7*l - 17. Suppose -8*i - 28 - 28 = 0. Determine s(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14448 and 384?\nAnswer: 115584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cii when three letters picked without replacement from iciicciciicciicicic?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/28 - (2 + -1)*1. Let m = -9 - -16. Let p = -5 + m. Is p != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -498, -994, -1474, -1932, -2362?\n\"Answer: r**3 + 2*r**2 - 509*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16 = -2*t - 0, 2*k - 4 = 2*t. Suppose 0 = 3*p - t*z - 2*z, 4*p - 29 = -3*z. Is p at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4188*k + 22 - 22 - 87*k)*(9 - 5 + 3).\nAnswer: -29925*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*g + 2, -12 = -2*g - 698*p + 700*p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**2 + 0*q**2 + 3*q**2 + (1 - 4 + 4)*(-4*q - q**2 + 4*q) - q**2 + 1 - 1 - 16663*q**2 + 10427*q**2 + 11408*q**2 + (-q + 2 - 2)*(-q - 3*q + 3*q).\nAnswer: 5169*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 a, and 1 x when four letters picked without replacement from rraarrrxrrjraxrra.\nAnswer: 18\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*c - 1579 - 317 = 4240. What is the remainder when 360 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -17\/10122830?\nAnswer: -17\/10122830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 27 - 3 = 0. Solve y + y = -t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11*t**3 - 11*t**2 + 4*t + 2. Let k(j) = 20*j**3 - 21*j**2 + 7*j + 5. Suppose 52*d = 16*d - 216. Let v(x) = d*k(x) + 11*w(x). Factor v(z).\nAnswer: (z - 1)*(z + 2)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -9 + 13. Suppose -4*s = w*l - 8, 5*s = -4*l + 37 - 12. Calculate the remainder when 29 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 17*s**2 + 47*s + 429. Determine z(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -2. Factor 704*y + 256 + 64*y**3 + 228*y**3 - 2*y**5 + 56*y**4 + 6*y**v + 688*y**2.\nAnswer: 4*(y + 1)**2*(y + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1020 and 1848?\nAnswer: 157080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 161, 655, 1479, 2633, 4117, 5931, 8075?\n\"Answer: 165*d**2 - d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 10*w**2 - 12*w - 13. Let h be l(-9). Let p be (0\/(-2))\/(h\/(-7)). Suppose -k + 2*k = p. Solve k = -3*j + 10 - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/8)\/((-2)\/(-24)). Let b = c + -4. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (sqrt(147) - 1*sqrt(147)))**2 - (-1 + 0 + sqrt(3) - sqrt(3))) + ((sqrt(162)*-2)\/sqrt(9))\/sqrt(6).\nAnswer: -2*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0989084 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -218 and 13316715342.65.\nAnswer: 13316715124.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333313223 + -2?\nAnswer: -333313231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsqqssdmdddqddmsss. Give prob of picking 2 s.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2. Let g(r) be the third derivative of 5*r**5\/12 - r**4\/2 + r**2 + 190*r. Determine g(m(p)).\nAnswer: 25*p**4 + 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3726 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(756) + (sqrt(756) - (sqrt(756) - -6*sqrt(756)*1)))*3)\/(sqrt(1200) - 2*(2*sqrt(1200) - sqrt(1200)))*2.\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 3 + 55*a**2 - 4 - 29*a**2 - 38*a - 5 in the form y*a + d*a**2 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 5*i**2 - 4*i. Suppose -5*l + 5 = 4*g, 0 = 5*l - 17 - 8. What are the prime factors of a(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*b**3\/11 - 178900*b**2\/11 - 1333610048*b\/11 - 888993856\/11 = 0. Calculate b.\nAnswer: -14908, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*p**3 - 15*p**3 + 33*p**3.\nAnswer: -31*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 3 - 5*j**2 + j - 2 in the form d*j + t*j**2 + o and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.791 + 0.009. Let w = 2.8 - x. What is the closest to -2\/7 in 2\/17, w, -4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6854044859?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 2995.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4\/3 (b) 68.1 (c) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 561655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30472?\nAnswer: 2, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-802)\/(-26) + (-532)\/91 + 6. Suppose -3*a + 3*b + 112 = v, 5*b = 4*a - 103. What is the highest common divisor of 32 and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, 16, 58, 106, 154, 196, 226, 238?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8976766307 to the power of 1\/6, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26*32\/14560)\/(4 + (-108)\/21)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43999*j - 22015*j - 21901*j - 3154 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 - 1.2. Let o = 0 + 0. Let u = k + o. Which is bigger: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 - -11)\/(10\/(-21)). Let b = f + 53\/15. Let k = 15 + -11. What is the second smallest value in 5, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o + 4 - 2*o)*(80411 - 160857 + 80230 + 2*o**4).\nAnswer: -4*o**5 + 8*o**4 + 432*o - 864","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -5*j**4\/12 - j**3 - 53*j**2\/2 - 58*j + 73. Let x(m) be the first derivative of y(m). Differentiate x(q) wrt q.\nAnswer: -10*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 294 and 4.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 257 and 248 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4365 + 4.4365. Let i = 4 - 7. What is the third smallest value in -0.5, i, 17, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrr when three letters picked without replacement from {r: 2, h: 1, p: 1, j: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-188)\/705*(-10)\/4)\/(20\/30).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -46 + 22?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + 12*n + 7*n**3 - 10*n**3.\nAnswer: -6*n**3 + 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 33 - 59 + 25*q**2 - 6*q - q**3 + 47 - 13*q**2. What is the hundreds digit of u(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((100\/3)\/(-5))\/((-250)\/375)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q**2 - 10*q + 37. Let k be b(-14). Let g = -958 - k. Calculate the remainder when 51 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - 9. Let p = -43 - r. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 995478829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2*w - 17 = -3*w, 5*w - 19 = -2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 12*d**2 - 32*d + 7. Let k be x(8). Solve -k + 2 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23153 or 23154?\nAnswer: 23153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*t + 13 - 28 = 0, 0 = -3*s - 3*t - 9. Suppose s = -16*w + 12*w + 60. Let m = 10 + -7. What is the least common multiple of w and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -g, -4*g = -5*l - g. Suppose 21 = l*p - 2*p. What is the remainder when 38 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*n - 78 = -344*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16162 (base 9) in base 12?\nAnswer: -64a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, -4, 520\/493?\nAnswer: 520\/493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**5\/4 - 3273*k**4\/4 - 26257*k**3\/4 + 29421*k**2\/4 + 88614*k - 88587 = 0?\nAnswer: -6, 1, 3, 3281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9*l - 4. Let w(d) = 17190*d. What is w(x(j))?\nAnswer: 154710*j - 68760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11040 rounded to the nearest one hundred?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3\/k)\/(k\/(k\/(k*k**(-1\/6)\/k)*k)))**(1\/19)\/(((k*k\/k**0*k)\/k)**2)**(1\/4) assuming k is positive.\nAnswer: k**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2070210, 8280845, 18631910, 33123405, 51755330, 74527685?\nAnswer: 101440470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8*t**2 + 6 - t**3 + 178*t - 350*t + 178*t. Give c(-8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8274000 to the nearest one hundred thousand.\nAnswer: -8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 10*d**2 + d + 12. Let f be y(-10). Suppose -k = 4, -5*k - 19 = 2*r - 3. Determine i so that -i**2 - i**f + 3*i + 6*i**r - i**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34234 + -1252043?\nAnswer: -1213405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(7)*-2)**2.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 11*w + 1. Let h be z(-12). Let i = h - 16. What is the common denominator of (i\/(-36))\/((-10)\/(-306)) and -7\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.1. Let x = -20.76 + 23.76. Let o = 0 - -0.1. What is the nearest to o in x, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/(8\/32).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*a - 358 = 0, 308 = 4*o - o + 5*a. Calculate the greatest common divisor of 74 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/56 and 3\/1372.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -5*q**4 + 3700*q**3 + 60175*q**2 + 230250*q + 249480 = 0.\nAnswer: -11, -3, -2, 756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 26. Suppose 3*r + 11 = -2*n + 49, -2*r + 36 = m*n. Find the first derivative of s**4 - 10 + r*s - 10*s wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 17. Let t(g) be the second derivative of -23*g + 0 + 0*g**2 + 1\/6*g**3. Calculate b(t(r)).\nAnswer: r + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -180\/869 + 2\/79. What is the nearest to -1\/3 in -4, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**2 - 5*a - 4. Let f(l) = -6*l. Let x(q) = -5*q**2 + 5. Let d(o) = f(o) - x(o). Calculate -3*d(h) + 4*v(h).\nAnswer: 9*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 283*u**2 - 17 + 35 - 275*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4660545 and 942.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 1.3. Let l(b) = -b**2 - 16. Let f be l(0). Let a be 56\/(-195) + f\/(-120). Is i < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10614655, -21229475, -31844293, -42459109, -53073923, -63688735?\n\"Answer: s**2 - 10614823*s + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + -199*((-18)\/6 + -5).\nAnswer: 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 720661053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13420497 is divided by 45.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 10. Suppose -2 = -f - 1. Which is the third smallest value? (a) k (b) f (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 + 47*c - 9. Suppose 0 = -4*b - 4*g - 48, -7*g - 75 = 6*b - 2*g. Give p(b).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118 + 120. Suppose -2 = -4*z + 6. Solve -o*y + 5 = 3*a, 0*y + z*y = 5*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**2 + 2*t**2 - t + t**2 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 382881658, 382881659, 382881660?\nAnswer: 382881661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(11\/(330\/36) - 693\/(-35)). Let r = -1 - 0. Is r >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 3*l**2 + 5*l - 6. Let b be q(3). Solve 0 = -4*i + b*i + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1525 + 0.5.\nAnswer: -1524.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -39.\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-2)\/4 - (-3042)\/6108). Let g = f + 836. Does 33 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49 - 271760*t - 30*t**2 + 48 - t**3 + 271764*t)*(0*t + t - 2*t)*(4 - 1 + 1) as a + d*t**2 + x*t + q*t**3 + m*t**4 and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1500 and 57\/4.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -193?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 4) in base 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-16))\/((18\/(-4))\/3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2131597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 4*w - 28 = 4*f, -3*w = 2*f + 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**6*f))**(-25) assuming f is positive.\nAnswer: f**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -485\/9. Which is the nearest to 1? (a) -0.1 (b) 0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b - 2 + 2*b**4 + 0*b**4 + 4*b**4 - 8*b**4 - b**3 as p*b + f*b**4 + k + h*b**3 + n*b**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 289959 and 11001?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*q + 3*n + 36, 0 = -5*q - 3*n + 60. Let z = 6 + -4. Calculate the lowest common multiple of z and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + (-1*sqrt(65) + sqrt(65))\/sqrt(5) - (1*sqrt(1300) + 4)**2).\nAnswer: -1315 - 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**4 + 4*c**2 + c + 1. Let l(i) = -i**3 + i. What is b(x) - 6*l(x)?\nAnswer: 2*x**3 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiyy when four letters picked without replacement from {i: 1, y: 19}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -838 - 99158\nAnswer: -99996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -13*k + 14*k**2 + 0*k**2 + 21*k - 5*k. What is the units digit of m(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11491092 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -9685?\nAnswer: 9685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*g - 47. Suppose 3*k + 12*q - 299 = 5*q, 4*k - 499 = 5*q. What is the highest common factor of g and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -10. Suppose 0 = -d*j + 7*j. Let g be (-4)\/2*(3 - (-21)\/(-6)). Put -1, g, j in descending order.\nAnswer: g, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-3)*3\/((-24)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -8.99. What is j rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010000011111000 (base 2) to base 12\nAnswer: -1ba20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -0.4. Let f = o + 2. Let w = f - 1.2. Sort 0.3, 0, w.\nAnswer: 0, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-126 - -139) + -31 + -4\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 3:13 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t**(2\/3)\/t))**(-9\/7)\/(t**3*t*t*t\/(t*(t*t\/t**(-2\/3)*t)\/t)))\/(((t**(-2\/25)*t*t)\/t**(-4\/3))\/(t*t\/t**(-3\/7)*t**(-4\/7))) assuming t is positive.\nAnswer: t**(-3533\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2530 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8118*m - m**3 - 4029*m - 4089*m + 2*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j + 16 = 0. Let b be 2\/j + (-302)\/(-8) + -2. Let n = b + -12. Calculate the remainder when 93 is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-2 - 4 - -3) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17 (b) -0.13 (c) 0.0329 (d) -2\/13 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 730.6449 litres in millilitres?\nAnswer: 730644.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + 2*((-1*(0 + sqrt(833)) - sqrt(833)) + sqrt(833)))*5*2)**2.\nAnswer: 89600*sqrt(17) + 5337600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -12*j + 36. Suppose 0 = -4*d - 3*t - 28, -2*t - 3*t = 0. Is 15 a factor of c(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (419\/1257)\/((-12)\/720)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a microsecond in nanoseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5784060647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -2*m**3\/3 - 3*m**2 + 48. Suppose y(s) = 0. Calculate s.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.36 and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4678591mg in grams?\nAnswer: 0.0004678591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15, 17, 19, 21, 23?\n\"Answer: 2*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-34)\/(-12) + 49\/294. Suppose 3*a = j*v - 4*v + 377, -5*a = 3*v - 1135. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127378*1.\nAnswer: -127378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 + 3*a - 2. Let w = 4 - 0. Calculate the remainder when k(w) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -96188 smaller than -480946\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 6, 5*g - 5*o - 2 = 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, -22, -78, -178, -334, -558?\n\"Answer: -2*u**3 - 4*u**2 + 2*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38905.42mg to nanograms.\nAnswer: 38905420000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -18*a**2 - 5*a + 5. Let o(z) be the first derivative of -253*z**3\/3 - 69*z**2\/2 + 69*z + 686. What is 5*o(j) - 69*w(j)?\nAnswer: -23*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0 + 52 = 0. Let r = o + -14. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c**2. Let r(d) = 3*d**2 - 76. Determine r(a(j)).\nAnswer: 243*j**4 - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6911 + 6925. Let c(z) = 2*z**2 + 5*z - 3. Let n be c(-3). Solve 9*i - d*i - 10 = n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3210 = 10*s - 23600. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-69123\nAnswer: -345615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25090 and 6562?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -0.12. Suppose a - 5*l = 7, 2*l + 27 = -5*a + 89. Suppose -a = 4*y + 2*z, 12*z - 10*z - 23 = 3*y. What is the nearest to k in -1\/5, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9545\/568 - 1060\/71. What is the closest to 0.2 in -0.01, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) -3\/4 (b) 9\/10 (c) -83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1057233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 - 155 - ((22 - 2) + (-7 - -1)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + z**2 + 7*z. Let a = -4 - -7. Let c(m) = m**2 + 2*m**3 - m**a + 13*m + 0*m**2. Let l(v) = -3*c(v) + 5*d(v). Factor l(u).\nAnswer: 2*u*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5128135086.\nAnswer: 2, 3, 149, 5736169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/2 + 6*r**2 - 45*r\/2 + 27.\nAnswer: -(r - 6)*(r - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 7)*(-1942)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 299 + -486. Let t(a) = 3*a**3 + 19*a**2 + 4*a + 99. Let b be t(-7). Let c = b - x. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48355*j**3 + 22432*j**2 wrt j.\nAnswer: -290130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, -18, 4 in descending order.\nAnswer: 14, 4, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7 (b) -5 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -6) + -48 + 30 + -10\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 22. Suppose -1 = 5*t + 4. Let z = t - r. Is z >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17174, 34364, 51554?\n\"Answer: 17190*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6359860763 take away 1.2?\nAnswer: 6359860761.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysipytsnpssiispippi. What is prob of sequence pip?\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b + 10. Let v(u) = -7*u + 9. Let o(f) = 6*f - 8. Let k(l) = 6*o(l) + 5*v(l). Give -2*d(c) - 7*k(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -44200000 rounded to the nearest one million?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**15*f**(-10)*f**(2\/29)\/f*f**14 assuming f is positive.\nAnswer: f**(524\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3505.\nAnswer: 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 10101862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 307369 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3130980 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-2) + 4)*108\/3564?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 - c**2 - 2*c**2 - 3*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149890067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3 + 18*g**2 + 48*g + 40 = 0 for g.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7920) - 4*-1*sqrt(7920))\/(sqrt(245) + (sqrt(245) - (-1*(sqrt(245) - (4*sqrt(245) - sqrt(245))) - sqrt(245)))).\nAnswer: 60*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24995433*l**5 + 253857*l**2 - 31 wrt l?\nAnswer: 1499725980*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 169\/4, -0.1, 3, 4\/7.\nAnswer: -3, -0.1, 4\/7, 3, 169\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 887654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15797016 to the power of 1\/2, to the nearest integer?\nAnswer: 3975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a. Let n(l) = -2627476*l. Give r(n(b)).\nAnswer: 7882428*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1899987447 to the nearest integer?\nAnswer: 43589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00094345857 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/650 and 29\/6110?\nAnswer: 30550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 221*x**2 + 178*x**2 + 11*x**3 - 50*x**2 + 121*x**3 + 17*x**4 wrt x.\nAnswer: 408*x + 792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.17 - -0.18. Let j = c - 0.9. What is j rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 8*s - 4 = -3*r, 0 = 4*r - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 31119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*u - 23, 4*u + 2*g - 35 = -3*g. Let v(n) = n**2 - 5*n + 2. Let y be v(u). Let t = y - -1. Solve -4*h = -2*d, -2*d + 3 = -t*h + 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2125*a + 2742. Is n(-29) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.056\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 933543, 933530, 933517, 933504, 933491, 933478?\n\"Answer: -13*s + 933556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 0. Differentiate a - 3*i + 0 + 3 wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2058, -4, -2\/9, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 0*b**2 + 0*b + 22 + 11\/5*b**5 + 0*b**4 + 4*b**3. What is the third derivative of o(d) wrt d?\nAnswer: 264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x + x, -w - 180 = 4*x. Let a = w - -198. Factor a*b + 3*b**2 + 25\/3.\nAnswer: (3*b + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88.37 - -88.37000076176. What is g rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139645.4l to millilitres.\nAnswer: 139645400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*i - 39. Let m = 19 + -24. Let w = m - i. What is the lowest common multiple of w and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/51844266 and -31\/28802370?\nAnswer: 259221330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72045765 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*u**4 + u**2 - 2509 wrt u.\nAnswer: 236*u**3 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 + 45*s**2 - 648*s + 1134. Give u(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2166781.\nAnswer: 61, 35521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*k + 288*k - 5 = 0. Suppose 5*p - 15 = k, 0 = -5*y + p + 26. Let h = -5 - -11. What is the least common multiple of y and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*u - 0 + 45, -u = 3*d - 20. Which is the nearest to 1? (a) 0.3 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 470. Calculate the greatest common factor of r and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 0*r + r)*(-4 + 1 + 2)*(-553*r**2 + 271*r**2 - r**3 + 281*r**2) in the form g*r**2 + b*r**3 + c + x*r + i*r**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 9a897c?\nAnswer: -9a8975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*o - 13, 5*o - t = 2*o + 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d - 40. Let m be w(6). Put 11, 0, m, -5 in descending order.\nAnswer: 11, 0, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**3 + u**2 + 4*u. Determine b(-2).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*b - 169 = 429*b - 218*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*o = 94*o - 25214. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 93, 227, 961, 2595, 5429, 9763?\n\"Answer: 50*c**3 - 216*c + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 3*u - 4. Suppose -9*b = -7 - 29. Let a be 2\/(b\/10) - -1. Determine n(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15, 39, 69, 105, 147?\n\"Answer: 3*z**2 + 15*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-1\/23)))\/(n*n\/(n\/n**(3\/4))))\/(n*n**(-2\/13)*((n\/(n*n**(-3\/10))*n*n)\/n)\/n*n) assuming n is positive.\nAnswer: n**(-23559\/5980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/5866531 and -55\/3733247.\nAnswer: 41065717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289 = -3*p - 265, 4*u - 4626332 = -3*p. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6256?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -4. Let f = 2.06 + -0.06. Let d = f - 7. Which is the closest to 0.2? (a) d (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3353001183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(18)\/sqrt(3)) + (sqrt(612)*1 - sqrt(17))**2.\nAnswer: sqrt(17) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 7*f - 4*i = -76, 4 = 2*i. Let l = -13 - f. Suppose -9 = -10*n + 7*n. Solve n*g = l*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*o - 1 = 0, -2*o + 1 + 1 = 0. Suppose 0 = -f + 8*f + 3*f. Let v(x) = f + x + 0*x - 4*x - 3. Let u(y) = 6*y + 7. What is w*v(l) - 2*u(l)?\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1525\/125 - 11)\/(63\/(-60) - -1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times -0.0221?\nAnswer: 0.3536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8)*-3)\/((-8)\/32).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**4\/12 + o**3\/3 - o**2 - 2*o. Let b be g(-4). Solve -b*s = -s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/20 and -109\/170.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2178721 and 3883807.\nAnswer: 89327561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431 = -38*b - 127. Suppose 6*o - 4*o - b = 0. Solve 0 = r - 1 - o, r = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwwwwwwwwwwb. Give prob of sequence bww.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 750*n**2 + 63307875*n - 89949807500.\nAnswer: -5*(n - 2105)**2*(n + 4060)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5344 is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/f**(-6\/13))\/f))\/(f*f\/(f\/(f*((f\/(f*f*f**(-24\/11)))\/f)\/f)*f))*(f*f\/(f\/(f*f\/f**(2\/19))))**(6\/23) assuming f is positive.\nAnswer: f**(69477\/62491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 8:06 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/3*(-3)\/(-2). Suppose -3*w + v = y, -2*w + w + 3*v + 8 = 0. Let o = w + 20. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71483034 - 2*p - 6*p - 71483034.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 12699?\nAnswer: 12699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 3*a + 14, -a + 5*a = 5*s - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 377, -46, -1193, -3316, -6667, -11498, -18061?\nAnswer: -26608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*r + 85 = -488*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 23*w**5\/60 - w**4\/6 - 2*w**3\/3 - 89*w**2. Let p(v) = 23*v**2 - 3*v - 3. What is 4*p(r) - 3*s(r)?\nAnswer: 23*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 52*k = -54*k, -3*s + 6 = -5*k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -4*p + 12. Suppose p*a - 2 = 4. Suppose -a*m = 6 - 10. Solve -5 = 3*v + 4*g, -6*v - 1 = -3*v + m*g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 38*s + 132 + 59. Let j(u) = 5*u + 4. Let g(x) = -x + 8. Let z(k) = -k + 1. Let n(m) = -g(m) + 5*z(m). Let r = -10 - -4. Calculate r*n(v) + s*j(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jojkjiijj. Give prob of sequence ko.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 14 (c) 62\/15 (d) 1\/2 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 9*n + 12. Suppose -n = -4*q + 6. Let h = 3 - 4. Sort q, -2, h in increasing order.\nAnswer: -2, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36389.9 rounded to the nearest ten?\nAnswer: 36390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-20))**(-22)\/(q**11\/(q\/(q**(1\/12)\/q))) assuming q is positive.\nAnswer: q**(5171\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zczzccz. Give prob of picking 2 z.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11263570 (base 8) to base 15.\nAnswer: -3364b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -3 + -17 + (43 + 20 - 44).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 13, 0, -4185, -54?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -67*h - 1. Let a = 8 - 11. Let l be k(a). Suppose -2*o = -0*o - l. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*h + 2746 + 5*h**2 + 0*h - 2746 to the form a*h**2 + x*h + n and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410, -807, -1220, -1655, -2118?\nAnswer: -2615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -138, -285, -428, -567?\n\"Answer: 2*r**2 - 153*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 - 1. Let m = -92\/513 - -2\/27. Which is the smallest value? (a) 1 (b) j (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -14*w + 423. Let m(o) = -264*o**2. Determine b(m(a)).\nAnswer: 3696*a**2 + 423","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33934 + 55234. Round c to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30100050 and 6?\nAnswer: 30100050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-33)\/(-5))\/((-4)\/(-20)). Calculate the greatest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14 - 5)\/((-6)\/18872*3\/(-975)). Round c to the nearest 100000.\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 8) to base 13\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23245 - 371919\/16. Put 1\/26, 3, -1\/4, m in ascending order.\nAnswer: -1\/4, 1\/26, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4223 + 4443. What is the greatest common divisor of 44 and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l - 29. Let g be i(7). Which is bigger: 19 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(112)*-3).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1)*u**(1\/3))\/(u\/u**(-1)*u)**(-9\/14) assuming u is positive.\nAnswer: u**(95\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2932\/21 - -418\/3. Put 2\/7, 5, 0.08, j in decreasing order.\nAnswer: 5, 2\/7, 0.08, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 33691*c + 196. Let q(j) = 3743*j + 21. What is -3*i(s) + 28*q(s)?\nAnswer: 3731*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2760)\/(-210) + (-2 - -1)*11?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 3*x = 190. Suppose 291 = -8*a + x. Which is greater: -35 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 434656797353 + -0.485.\nAnswer: 434656797352.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 16. Suppose 3*i - 34 - 86 = 0. Suppose -n = -t*n + i. Calculate the remainder when 15 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162 - 88. Let q = p + -104. Let c = -24 - q. What is the greatest common divisor of 42 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 30*m + 4. Let s be c(2). Suppose -o + s = -15. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 0*c**2 - 1\/30*c**3 + 2*c - 1\/15*c**4 + 0. Factor g(b).\nAnswer: -b*(4*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1500 is divided by 49.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asaa when four letters picked without replacement from sssaaasaassss.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22052750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 9*c**2 + 9*c + 9. Suppose 0 = 77*j - j + 532. What is v(j)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**2*t**2 + 11*o**2*y + 8*t**3*y + 8*t**2*y + 8*y with respect to t.\nAnswer: 4*o**2*t + 24*t**2*y + 16*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.18 - -0.32. What is the third biggest value in 1, t, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 28*a + 111. What is y(-14)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1 - 1 + 5 + s. Let y be q(-4). Let j(v) = 4*v**3 + 2*v - 1. What is the units digit of j(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -6*z + z + 4*n, 3*z - 2*n + 15 = 0. Let i(h) = -7*h**2 + 6*h + 8. Let q(m) = m**2 - m - 1. Give z*q(s) - i(s).\nAnswer: 2*s**2 - s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 123*l - 84*l - 66*l. Is -132\/109 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1863b + -553?\nAnswer: 180b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/5 + 1398*x**2\/5 - 181812*x\/5 + 855432.\nAnswer: -3*(x - 218)**2*(x - 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*t + 3013 = 4*y + 157*t, -y - t = -748. Sort -3, y, 4, -7 in ascending order.\nAnswer: -7, -3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 20 = -0*h. Let p = h + 9. Suppose -p*x + 5*v = -0*x - 131, 6 = -2*v. What are the prime factors of x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370860 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: In base 7, what is 0 - 615353212?\nAnswer: -615353212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -483 divided by -32.\nAnswer: 483\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 7*q. Let s(l) = 11*l - 256. Let w be s(23). Let u(n) = -4*n**2 - 34*n. Give w*u(o) - 14*g(o).\nAnswer: -2*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d + 1. Let s be z(-1). Let g(t) = -22 - 16 + 49 - 15. Let u(b) = -b - 5. Calculate s*g(h) - 2*u(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 33*c**2 - 1. Let s be g(-1). Calculate the greatest common divisor of s and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416 + 9*x**3 + 416.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284 and 1207.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -209*w**3 + 10*w**2 + 12*w + 6. What is f(-2)?\nAnswer: 1694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = t. Let u be 0\/(t\/(6\/(-4))). Suppose 3*x - 6*x + 69 = u. What is the remainder when x is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**3\/3 - x**2\/2 + 14*x + 1. Let v be 1 - 4 - (11 - 14). Determine y(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 138.54 or -24563?\nAnswer: -24563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 9:04 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111110012 + 210?\nAnswer: -111102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 m, and 1 l when three letters picked without replacement from mgmmpmlmmlglg?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + 59. Let a = y + -41. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**3 + j**2 - j - 1. Let m be t(-1). Let o(u) = -4*u**2 + 2*u + 1. Let q be o(-3). Let k = 61 + q. Solve 3*a + k = m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 6272\/280)\/((-1)\/(-35)*-8).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-50)*680\/(-16)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-one halves of a microgram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 - 28 - 33 + 145 + 45*x.\nAnswer: 45*x - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37.8212 + 0.0788. Let q = 38 - v. Which is the closest to -1\/2? (a) -4 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -4*c - 8, 171*i = -2*c + 168*i - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*d - 10 = -3*d, -2*p - 5*d = 6. Suppose -10 - 10 = -j + 3*h, -3*j = p*h - 5. Solve -19 = j*s - 2*f + f, -s + 5*f + 1 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(90))\/sqrt(5) - sqrt(18) - sqrt(18) - -4*sqrt(162))\/(5*(sqrt(48)\/sqrt(4)*6)\/sqrt(2)).\nAnswer: 3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + (1*-1*sqrt(102) - sqrt(102)) + 5*((sqrt(102) + sqrt(102)*-1 - sqrt(102)) + sqrt(102) - sqrt(102)))\/((-2*sqrt(384) + sqrt(384))*3))**2*-4.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 66*z**2 + 485*z + 59. Calculate a(58).\nAnswer: 1277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-84)\/70*(35\/(-10) + -4). Solve 4*a = c*n - 7*n - 6, 3*n = 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-5)*((-49)\/6 + -1). Which is smaller: 2\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 smaller than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 22*g - 168 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**6\/160 - 51*j**5\/80 - 73*j**4\/16 - 12*j**3 + 10*j**2 - 41. What is i in x(i) = 0?\nAnswer: -48, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 233562 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.3 + 7. Let j = -7 - -3. Let x = j - -9. What is the nearest to 2\/7 in i, 4, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -284697568 > -284697571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1681 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14074?\nAnswer: 2, 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 18. Let j be g(-25). Suppose 0 = -s - 2 + 1. Sort s, j, -2, 1 in descending order.\nAnswer: 1, s, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 + 2. Let m(l) = 281*l - 1683. Let p be m(6). Let t(j) = -2*j**2 - 1. Calculate p*f(o) + 4*t(o).\nAnswer: -2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2704)\/(-208)*192\/(-39).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14740803 by -15057.\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/91)\/(2\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79152.\nAnswer: 2, 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 19*z - 2 = 0. Suppose 7*q - z*q = 50. Suppose q = 5*w - 30. Calculate the greatest common divisor of 40 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i - 4. Let c be y(-4). Let z(g) = g + 4. Let k be z(-4). Suppose k = c*l - 2*l. Do l and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 11:12 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11285 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21b730 (base 12) to base 14.\nAnswer: -10032c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nck when three letters picked without replacement from {n: 2, h: 6, k: 1, c: 1, w: 4, y: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4, -5*v - 438*t + 442*t + 160012 = 0. What are the prime factors of v?\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.933 - -0.067. Let g = -0.0058 - -2.0058. What is the fourth biggest value in -0.1, p, g, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-18) - (-1)\/2. Which is the smallest value? (a) 3\/5 (b) v (c) 4 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from rldkm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c + 547. Let y(z) = -7*z - 546. What is 3*q(i) + 4*y(i)?\nAnswer: -i - 543","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 0*n - 3*n + (-12 - 18 - 10)*(5*n - 3*n - 3*n) + 2 - 2 - 2*n to the form j + h*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*h**2 - 1773*h**2 + 414*h**2.\nAnswer: -1650*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -408907, -408923, -408943, -408967, -408995, -409027?\nAnswer: -409063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 129271105 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*((x\/((x*(x*x**(-1\/21)*x)\/x*x)\/x))\/x)\/x)\/x**(-1))\/(x*x**(-1\/8)*x**(3\/7)))**(-3\/8) assuming x is positive.\nAnswer: x**(379\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 15 = -3*s, 218*s - 217*s - 5*a = 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 0*b + 2\/15*b**5 - 7\/12*b**4 - 19*b**2 + 0 + 0*b**3. Find the second derivative of d(a) wrt a.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 410243440 - -20?\nAnswer: 410244010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/8 + (-90)\/(-336). What is the smallest value in i, 0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2167 - 190*k**3 - 1451 - 1663 + 674*k**3 wrt k.\nAnswer: 1452*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from {h: 2, z: 5, g: 1, w: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 64704 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 5*c + 15. Let i be b(-7). Solve 3*s - 10 = f, -5*f + i = 3*s - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484*i**3 - 936*i**3 + 451*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 246 - -1208. List the prime factors of u.\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/44523 and -89\/342108.\nAnswer: 99553428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 2) + (2 - 9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3. Let j = -2 - z. What is the closest to -0.1 in 5, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -5 + 3\/2*x**4 - 7*x - 4*x**2 + 5\/3*x**3. Let t(a) = -5*a**3 - 4*a**2 + 7*a + 6. Calculate 6*r(l) + 7*t(l).\nAnswer: l**3 + 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (-9)\/((-18)\/(-8)). Let c be (2 + q)\/(2\/(-108)*-2). What is the highest common factor of 135 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-183)\/(-305))\/(6\/40)*2\/(2\/(-5)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -19099 less than or equal to -76401\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2. Let i(c) = -2*c**2 + 15*c**3 + 11 + 11*c - 20 + 9. Let m(h) = i(h) + 2*v(h). Find the second derivative of m(r) wrt r.\nAnswer: 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 27*s - 77. Let a be i(-33). Suppose 4*p - 6*p + a = 5*g, 2*g = -p + 49. Calculate the greatest common factor of g and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111100111111100 (base 2) to base 6.\nAnswer: 1212140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, i: 3}. Give prob of sequence yy.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 3 - 15 = 0. Let t(m) be the third derivative of m**4\/24 + m**3\/6 - m**2. Let b be t(d). Solve q = p, 3*p + 2*q = -b*q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 - (-5 + 7 + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (54 + -33) - (0 + -31)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 15*d - 780. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 3*g + 3. Suppose 11 - 7 = 2*l. Suppose 0*y - l*w - 6 = -5*y, 6 = 3*w. Give j(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -103, -161, -225, -295, -371, -453?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.558 + 0.092. Round j to 1 dp.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 9:35 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1596608 - 12608 = -8*v. Round v to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 109 = -7*s + 4*s, -2*s - 7*c - 1 + 102 = s for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knwnkwnwnfnf. Give prob of picking 1 k and 1 w.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (0 - 15 - 45) + -2 + 2 + 4.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = 7*t - v - 18, 17*t - 23*t - 77 = -11*t - 3*v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b8 (base 16) in base 4?\nAnswer: -122320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 7*r - 1. Let c = -1 + -1. Let k(y) = 2*y**2 + y - 1. Let m be k(c). Is 4 a factor of z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-54)*(-3924)\/(-27). Let m = j + 20\/81. Calculate the common denominator of 11\/6 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(6 - -2) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1525716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 145045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -950*l**2 + 320*l**2 + 318*l**2 + 315*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**9\/(h**(8\/3)\/h))**(13\/4))**(10\/11))**50 assuming h is positive.\nAnswer: h**(3250\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 40 + 2 = 0. Let x = 114 + -72. Let w = h + x. Calculate the remainder when w is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19, -19, -5, 23, 65?\n\"Answer: 7*j**2 - 21*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -638247 (base 12) in base 14?\nAnswer: -2cbcd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538 - 678 = -4*w + 3*v, v + 907 = 3*w. Calculate the remainder when w is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 7711.\nAnswer: -5\/7711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 10 + 5. Suppose -14*l + h = -11*l. Suppose l*j + 48 = 7*j. What is the remainder when j is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008208832 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = 6. Which is the closest to 0? (a) y (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-112)\/40)\/((-4)\/10). Let i be m*(0 + 30\/(-7)). What is the units digit of (8\/6)\/((-2)\/i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*q = 15, -b = 4*b + 2*q - 12. Let g(m) = 6*m - b*m**2 + 10 + 3*m + m**2. Let c be g(9). What is the highest common factor of 20 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(30)\/sqrt(6) - (sqrt(720) + 3*sqrt(720)))**2.\nAnswer: 11045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -5, -234335, -1, 16 in increasing order.\nAnswer: -234335, -5, -2, -1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:07 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - -29. What is the remainder when q is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 82, 295, 706, 1381, 2386, 3787, 5650?\nAnswer: 8041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v - 2*v + 35*v - 40*v - 24. Calculate a(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/24*12\/3. What are the prime factors of (-3 - y)\/(4\/(-102))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(10\/(-4)) + (-1394)\/(-10).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x - 2*x - x)*(4 - 4 + 7) + 160*x + 23321 - 23323 + 355*x in the form m*x + h and give m.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/2)\/1*65*(-96)\/1040.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34.3 - -32.3. Put -5, o, 4, 17 in descending order.\nAnswer: 17, 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3881, -4251, -4637, -5039, -5457, -5891?\nAnswer: -6341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 242729914 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10 - 7\/(-2)*(-1452)\/(-847). Put 8, 0, b, 3, -44 in ascending order.\nAnswer: -44, b, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4))**(12\/11)\/(h*h\/h**1)**(-3\/16))**30 assuming h is positive.\nAnswer: h**(-225\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 4*i - a - 3*a, -i - 3*a = 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.1 + -9.09877. Round t to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v - 5. Let g be b(3). Suppose 5*z = w + 19, 5*w + 10 = -3*z - g. Solve 0 = -l - 1 + z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46557*0.4.\nAnswer: -18622.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 16*n + 10978 = n. Do n and 1000 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t - 1. Let l(d) = 2*d + 1. Calculate -7*l(b) - 4*o(b).\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 = 65. What is the common denominator of p and -50?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p + 4877 + 6921 = 0. Let m = p - -697. Solve -h - f = -2*h - m, 2*h = -f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.08 - 1.122. What is the smallest value in -1\/3, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*y + 11*y + 13732 - 13733 + 297*y**3 in the form f*y**2 + r*y + c + z*y**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from ttidtgv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2914108.\nAnswer: 2, 728527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from {w: 1, b: 4, f: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2206629 divided by 50.\nAnswer: -2206629\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250942 is divided by 55?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -1) + 4 + -1. Let g be -1 - -18 - (l + -1). Calculate the greatest common factor of g and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and -41.\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, 23, 8 in descending order.\nAnswer: 23, 13, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 13 = 7, 0 = 2*t - k - 161. Suppose -r + 215 = -t. Does 29 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 5 (b) 1\/15 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 444667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 123 = 7*c + 29*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)*1*-3)\/sqrt(3) + -4 - sqrt(38)\/(-4*1*sqrt(2))*2.\nAnswer: -5*sqrt(19)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 77?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0071056g?\nAnswer: 7.1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-260)\/12)\/(-5) - 4) + -1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 361, -210, -0.3, 0.5 in decreasing order.\nAnswer: 361, 0.5, -0.3, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**2*z + 3556*m**2 + 599*z wrt z.\nAnswer: 2*m**2 + 599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4287832 + 3?\nAnswer: -4287829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 2*v - 4*v)*(3*v - v + 0*v)*(-3 + 3 + 8*v).\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 + 96. Suppose 4 = g + j*d, -d + 3*d = 4*g - 16. Calculate the greatest common divisor of 28 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6357, -3, 0.131, -1, -0.2?\nAnswer: 0.131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7081480?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 318 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 1249906.\nAnswer: 6249530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1765 + -1735. What is the greatest common factor of 795 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.2 (b) 0.5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o + 138. Let i be z(22). Let d = 110 + -74. Let j = d - i. Calculate the remainder when j is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98823 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 35*n + 2049 = -38*n, 5132 = 5*t + 2*n. Calculate the greatest common divisor of 38 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-12))\/(6\/(-6))*1080\/(-27)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z + 32. Suppose z*n - 2*n = -198. Let y be (-1 - -2)*n\/(-11). Solve -2 = y*q + 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 93*l - 377. What is y(50)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 9358190*a - 56149212.\nAnswer: 2*(a - 4679101)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 207738.\nAnswer: 623214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 - 66 - 60 + 8*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 772927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 2065 = m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/7169736 and -125\/48.\nAnswer: 14339472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (5632\/(-1024))\/((-55)\/1240)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 0)*(-42)\/105*8. Which is smaller: u or -12?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-3\/7)\/y*y)\/y)\/y**3*y**(2\/5)\/y*(y*y\/(y*y\/((y**(1\/4)\/y)\/y))*y)\/y)\/(y**(3\/7)\/y*y\/(y\/(y\/(y\/((y\/y**3)\/y*y))))*y**(2\/41)) assuming y is positive.\nAnswer: y**(-24429\/5740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238 and 1092742.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 129.7 and 3?\nAnswer: 126.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4208 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 13*i**2 + 171*i**2 + 19*i**2 + 48*i**2 - 23*i**2 to the form l + g*i + d*i**2 and give d.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 8*f + 6. Let c be d(-9). Let t(l) = -6*l**3 + 4*l**2 - 2 + l**3 + 6*l**3. Determine t(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 338, 16, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51776.1 nanometers to meters.\nAnswer: 0.0000517761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 4*m**2 - 4*m + 36. Let l(s) = -3*s**3 - 11*s**2 + 11*s - 108. What is 4*l(z) + 11*t(z)?\nAnswer: -z**3 - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/260 and -53\/390.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*3)\/(3*sqrt(20)\/sqrt(5)) - -5*(sqrt(11) - (sqrt(11) + 0)*5)*4.\nAnswer: -76*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 7*l**2 - 1. Let f be c(7). Which is bigger: f or -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -828*s = -3271*s + 73290 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1128212 - 0.5.\nAnswer: -1128212.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 798*q**3 - 1600*q**3 - 43792 + 43792 + 793*q**3.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -216*h + 219*h. Solve 0*j = -j + h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 155*w**4\/12 - w**3\/6 + 2*w. Let d be p(-1). Let j be d\/15 - (-4)\/(-10). Solve -3*f - 2*f = j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3047 - 3003. Let b be 56\/12*(-4 - n\/(-8)). Solve l = 3*y - b*y + 3, -y = 2*l - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7414822?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.86 + -14.86. What is the closest to -0.28 in -1\/3, x, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6355291499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1277, 4930, 11019, 19544, 30505?\n\"Answer: 1218*a**2 - a + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkwqkwaqqpqkd. Give prob of sequence dw.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000074454 to 7 decimal places.\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-565)\/226*2\/180?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838*a + 296*a - 53*a + 145*a = 18000 for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22343?\nAnswer: 22343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815 is divided by 271.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1180 divided by -5?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/8*26*28\/(-31850).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 372395\nAnswer: 4\/372395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211 - 207. Suppose 0 = 5*m + 2*d + 21, -f*m + 2*d - 18 = 3*d. Let x(w) = w**2 + 4*w - 2. What is x(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 58. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1145 and -3.\nAnswer: -3435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 30004413?\nAnswer: 30004430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n**2 + 7*n**2 + 5*n**2)*(7*n - 5*n - 4*n + (-2*n - 4*n + 4*n)*(5 + 0 - 2)) to p + g*n**3 + o*n + f*n**2 and give g.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60185309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2. Let h(n) = -2*n - 4. Let a(f) = 3*f + 5. Let v(z) = 4*a(z) + 5*h(z). Determine u(v(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 312674321 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: Four letters picked without replacement from ffjplfjjjlfjjjjjjlj. Give prob of picking 1 l, 2 f, and 1 j.\nAnswer: 33\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 22*b**2 - 2*b + 0*b - 4 to f*b + j*b**2 + u and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.39 times -102031?\nAnswer: -1366195.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2677361689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1044 and 11405410?\nAnswer: 205297380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - ((-15)\/24)\/(-1). Let j = -1349.8 - -1350. Which is the fourth biggest value? (a) o (b) j (c) -0.5 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from gbbbpbwbbpbpp.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 2*i. Let x be h(-2). Suppose x = 18*d - 7*d - 55. Let w be (-1)\/(((-5)\/4)\/d). Solve 5*m = 0, -20 = -w*n + m - 3*m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 4 (c) 0 (d) -11 (e) 22780\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -41, -89, -181, -323, -521, -781?\n\"Answer: -x**3 - 16*x**2 + 7*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15590504 is divided by 15590471.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(132) - sqrt(132)*-1) - sqrt(132)*-2*4)\/(sqrt(72)\/sqrt(6)*1*-2))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, z: 2, a: 2}. What is prob of sequence zfa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*g - 336 = 130*g. Which is the fourth smallest value? (a) -0.5 (b) -6 (c) g (d) 2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89670348 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -191*m**2 + 30*m.\nAnswer: -382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1.3357 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 5522 - 7960 + 3*c**3 + 3*c**2 + c**3.\nAnswer: 4*c**3 + 3*c**2 - c - 13482","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 975 = -9*r. Let q = -101 - r. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2130231120 (base 4) in base 15?\nAnswer: ca2c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19\/6? (a) -4 (b) -1 (c) 1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2127*d - 25548. Give i(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -859.864 - -843.9. Let p = m + 16.7213. Let g = p + -0.72. Round g to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -49, 14, 2\/5, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 2511905*i**2 + 315479568560*i + 946461312960.\nAnswer: 5*(i - 251192)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 h when three letters picked without replacement from pchphhqqvqh.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.46939 rounded to two dps?\nAnswer: 128.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68776899481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3237108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14\/(-21) + 1240\/15 is divided by 2 + 12 - (-2 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - j + 2*j - 3 = 0, 5*j = -4*n + 7. Let o(h) = h**2 - 8*h - 5. Let v be o(n). Let i(l) = l + 7. Let b be i(v). Solve b*s = -s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from eeteeeeeetteeeee?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -104.4 and 0.9.\nAnswer: -93.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*(2 + (sqrt(832) - (sqrt(832)*3 + sqrt(832)))*-6))**2.\nAnswer: 18720*sqrt(13) + 6739369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10857?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 5. Let p(m) be the first derivative of m - 34. Calculate o(u) - 4*p(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**6\/8 - b**5\/5 - 23*b**4\/48 + 3*b**3\/2 - 3*b**2\/2 + 2*b\/3 + 24. Solve h(v) = 0 for v.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = 5*z - 9*z, -4*z + 20 = 2*p. Suppose -2 = -n - 2*q, -4*q + p = n - 0*n. Is n <= -16\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 3\/5, 1\/14, -2, 69, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-8))\/(14\/(-56)). Which is the nearest to -2? (a) x (b) 2\/15 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.81 - -4. Let w = 0.01 + o. Which is greater: w or -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**4\/4 + y**3\/2 + 5*y**2. What is a(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-812)\/(-77) - (-24)\/(-44) - (-6)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5265871 - 16601571. Round a to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.29*-6.4\nAnswer: -1.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjfj. What is prob of picking 2 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -48. Let m be 25\/(-2)*w\/(-20). Let n(x) = -13*x**2 + 4*x + 8. Let t(l) = 7*l**2 - 2*l - 4. Let z(c) = 6*n(c) + 11*t(c). What is z(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 11. Let w(m) = m**3 - 2*m - 1. Let g be w(i). Suppose 3*o + g*j = 4*j + 32, -4*o + 72 = 2*j. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 + 1 = 0. Let k = 7 + a. Solve 15 = k*i - 4*t, -i - 6*t = -t - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162462*h**5 - 9*h**4 - 3538*h**2 + 67*h?\nAnswer: -9747720*h**2 - 216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*h - 15, 3*g - 5*h = -2*h - 18. Let k be (-12)\/g - 12\/(-20). Suppose -4*w + 6*w = 0. Solve m = 2*r + 1, -k*r + m + w*m - 1 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 divided by -85?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2575*m**2 + 17*m**3 + 166*m**2 - 2741*m**2.\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -713543*p**3 - 1036*p**2 + 453*p.\nAnswer: -4281258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, 30646, -1 in ascending order.\nAnswer: -1, 3, 8, 30646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 533 + 115. Let x = g - 627. What is the remainder when 27 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(45) - (1*(sqrt(180) + sqrt(45)))**2).\nAnswer: -400 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -18. Let t be 3291\/m*(-10)\/(-5). Suppose 3*k + 10209 = -t. Round k to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96323\/(-5)*((-1935)\/(-45) - 48) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 + -45. Let v = p - 25. Is v\/(4\/34) + 0 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8600 + 26363. Calculate the highest common factor of 93 and t.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -2836415?\nAnswer: 2836412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4.9. Let v = d - 3. Let n = 0 - -0.4. What is the closest to v in -3, n, 4\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 + 3*f + 1. Let m(a) = -a**2 + a - 1. Let y(k) = -3*m(k) + s(k). Let d(x) be the first derivative of -2*x - 2. What is -4*d(o) - 2*y(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -43*p**3 + p**2 + p. Let g be h(-1). Let w = g + -46. Sort w, 4, -5, 1 in descending order.\nAnswer: 4, 1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153071 - -153071.2. Let k be (8\/(-14))\/(-2) - 0. Put k, 2, n, -0.4 in ascending order.\nAnswer: -0.4, n, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195598*r + 195592*r - 391190*r - 29*r**2.\nAnswer: -29*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -4, -0.6, -0.01, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 30*r + 2877. Let m be c(-96). Put m, 2, -196 in increasing order.\nAnswer: -196, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -2*s**5\/15 + 4*s**3\/3 + 17*s**2. Differentiate x(t) with respect to t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**7)\/t**(-5))\/(t**(-3\/2)\/t**0) assuming t is positive.\nAnswer: sqrt(t)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166874910 by 8782890.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 38*f - 20 = -41*f, -4*f = 2*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 - (-4 - 45\/(-10)). Suppose y*f + 192 = 2*f. Let n = 33 + f. What are the prime factors of n?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 3*q**2 - q + 5. Let p be f(6). Let y = p + 31. What is y rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1611430724?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152 + 134. Let u = d + -285.781. What is u rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18537438 divided by -6179146?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 11*z + 34. Let n(q) = -42*q - 75. Let f be n(-2). What is the remainder when t(f) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = -10*n - 7. Let t = -4 + n. Let d be (-5)\/(-2) - (5 - 3). Sort d, 2\/17, t in increasing order.\nAnswer: 2\/17, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 309, 515, 721, 927?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 9*z**2 - 8*z + 2. Let i be o(8). Suppose -i*q - 3*g = -g - 30, 5*g = -3*q + 35. What is the smallest common multiple of q and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510\/3762 + ((-120)\/(-1026) - 86\/387)?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -9*j + 384. Put j, -1, 0 in descending order.\nAnswer: j, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27935\/11 or -2539?\nAnswer: -27935\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t + 13. Let s be z(4). What is the greatest common divisor of 2 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6347 divided by 488?\nAnswer: -6347\/488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvbv when four letters picked without replacement from {v: 11, b: 5}?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 87461.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 388876, 777841, 1166810, 1555783, 1944760, 2333741?\n\"Answer: 2*x**2 + 388959*x - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2 - 2*g - 1. Calculate q(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3983*f**5 + 508*f**3 - 171710*f**2 + 9 wrt f?\nAnswer: -238980*f**2 + 3048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102012221102 - -2022110?\nAnswer: -102010121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.347 + -0.025. Let g = 0.38474 + r. What is g rounded to four decimal places?\nAnswer: 0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/4 - (-28)\/(-16). Let r be -1 + o + 23\/7. What is the biggest value in -4, r, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*x + 6*x = -121*x - 8617 - 1078 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1054 - 155. Let y be (-5 + 6)\/(-2*1 - -1). Does 27 divide (-3)\/((-13)\/(m\/90) + y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2887348 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 805 = 254*u - 93*u. What is the second smallest value in 3, 11\/8, -0.2, -0.4, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t. Let f be -6*(-1)\/2 + 41. Let c(j) = -j**2 + 44 - f. Determine i(c(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, t: 4, g: 2, p: 3}. What is prob of sequence cggt?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8861830*a - 4607021.\nAnswer: 8861830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3\/5)\/(((-3)\/(-102))\/(570\/684))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*f = 3*f + 267, 4*p + 2*f - 362 = 0. Calculate the common denominator of -39\/10 and (1524\/320 + -3)*12\/p.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -154. Let o = u - 148. Which is the second smallest value? (a) o (b) -2\/9 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136 + 78.2. Let t = 214 - v. Which is the biggest value? (a) t (b) 2\/11 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**2\/5 + 94468*f\/5 + 2231050756\/5 = 0?\nAnswer: -47234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - y - 41 + 12, 3*i + 5*y = 23. Let f be 6\/9*i - 3. Suppose -4*c - 17 = -7*c + 5*x, c - 3*x + f = 0. Solve 6 = -2*b, -2*l - 4*b + 2*b = c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11773.\nAnswer: 61, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/549 and 149\/143154?\nAnswer: 8732394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -210*n - 2823*n**2 + 3078*n**2 - 405*n wrt n?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u + 6. Let w = 0 + -3. Let l = 3589 - 14351\/4. Which is the nearest to u? (a) w (b) l (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 1:58 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 533, 1146, 2789, 5978, 11229, 19058, 29981, 44514?\nAnswer: 63173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 485809 and 51731.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3807139 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153996?\nAnswer: 2, 3, 41, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f - t = 26*f - 9, -4*f = t + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 0*f**4 + f**3 + 5 + 0*f**2 - 1\/5*f**5 + 0*f. What is the third derivative of r(x) wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/4)\/(3\/2 - 2). Solve -4*i - f*y + 4 = -y, -3*i + 3 = y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22b - 152762?\nAnswer: -152534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -4, -3.1, 1\/6 in decreasing order.\nAnswer: 1\/6, -1\/5, -3.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*65.\nAnswer: -2145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 21 + -45 + (8 - 32)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*c**2 + 233*c**2 + 179*c**2 - 150*c**2 + 91*c**2.\nAnswer: 505*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233 = -310*w + 5260 + 1793 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249131?\nAnswer: 3, 13, 32029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 d, 1 h, and 1 g when four letters picked without replacement from fhgddggrgedgddfdh.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4722402, -4722409, -4722420, -4722435, -4722454, -4722477?\n\"Answer: -2*l**2 - l - 4722399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 39859 to the nearest one thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*w**3 - 11416*w**2 - 1161984*w + 332928 = 0 for w.\nAnswer: -204, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/7899 and 11\/1338.\nAnswer: 3522954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 4. Let m be b(2). Solve 0*a = -2*l + 3*a + 10, 0 = -3*l - m*a - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 3:14 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -59*a + 183. Let g be v(3). Find the third derivative of 9*x - 2*x**6 - 2*x**2 - 24*x - 74*x - 7*x**6 - x**3 - 2*x**g wrt x.\nAnswer: -1320*x**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -31*f**5\/120 + f**4\/8 + 124*f**3\/3 + 105. Let q(v) be the third derivative of o(v). Let p(n) = -n**2. Determine q(p(h)).\nAnswer: 31*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -636*z**5 - 2375*z**4 + 78111*z**2 - 4*z + 1 wrt z?\nAnswer: -38160*z**2 - 57000*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m = x + 228 - 281, 4*x + 5*m - 6 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*u - 11707 = -6*u - 1166 + 8366 for u.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 19. Let x be (1\/t)\/((-1)\/4). Solve -2*h + x*u = 22, -5*h = u - 5*u + 25 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7584 divided by 12954\nAnswer: 1264\/2159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + d + 19 - 1, -3*d = -3*i + 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(175) + sqrt(175) + sqrt(175) + 4*sqrt(7) + -4 + -5 + 2)**2.\nAnswer: -228*sqrt(7) + 2563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -20*y**2. Let v(w) = -6*w - 5*w + 106 - 102 + 4*w. Calculate f(v(u)).\nAnswer: -980*u**2 + 1120*u - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, b: 1, h: 1}. Give prob of picking 1 h and 1 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + (sqrt(2299)*1)**2)*-3 + -3 + (sqrt(2299) - (-1 + sqrt(2299))) + sqrt(2299) + (sqrt(2299)*2 + 1 - sqrt(2299)) + -1*(sqrt(2299)*1)**2 + -3.\nAnswer: -9200 - 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 3*o + 5. Is i(5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1 + sqrt(72) + 3)*-2)**2.\nAnswer: 240*sqrt(2) + 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (195\/(-13))\/((-6858)\/508)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.054 - -128378.\nAnswer: 128378.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58248*a + 464 = -116505*a + 58228*a for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 + 110490*v**3 + 381907560*v**2 + 413409279200*v + 147010176812160 = 0. Calculate v.\nAnswer: -1052, 25254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.025 bigger than -81039\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 7:50 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42*-3)\/(-6) + (-38241)\/1827.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/19915 and 45\/483469.\nAnswer: 1375469305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7047823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 14*q + 14. Let h(b) = -7*b - 7. Determine -7*h(z) - 3*j(z).\nAnswer: 7*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((1 - -2) + (3 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -6881.\nAnswer: 6\/6881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -9. What is the closest to y in 0.3, 3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3048d0 (base 14) to base 2\nAnswer: 110001101000001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*p**2 + 87666 - 175277 + 87611 + 132*p**2.\nAnswer: 44*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10567*y**2 + 604*y**2 - 472*y**2.\nAnswer: 10699*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 5:44 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -1 + (-15488 - -15397).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from ggyoo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 2 + l**2 - 3 - 3*l - l. Let a(s) be the first derivative of 4\/3*s**3 - 8*s**2 - 16*s + 23. Calculate 5*a(q) - 16*v(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.091 - 0.061. Let t = f - 0.03. Are -1 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-795)\/2673 - 126\/(-462))*-9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1253 - 0.1747. What is the nearest to -1\/6 in g, 0.5, 9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/20 and -31\/72263130?\nAnswer: 144526260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*d = 3*d - 101, 5*d = -5*p + 535. What is the greatest common factor of 42 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 63530523, 63530537, 63530561, 63530595, 63530639, 63530693, 63530757?\n\"Answer: 5*s**2 - s + 63530519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**8)\/v**(-2\/45) assuming v is positive.\nAnswer: v**(-268\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 1. Let k(b) = 0 - 4*b**2 - m + 0*b**2. Let z(j) = j + 2. Let x be z(-1). Give k(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/433851 (b) -2\/9 (c) 30\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Suppose a - 9 - 3 = x. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 3*h**2 + 2*h + 4. Let r(q) = q**3 + q**2 + 1. Let o(i) = 2*i**3 - i**2 - 3*i - 2. Let v(f) = -o(f) + 3*r(f). Determine -5*t(c) + 4*v(c).\nAnswer: -c**3 + c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 246 - 3200\/13. Let t = -0.1 - -2.1. Let a = -2.1 + t. Sort 2, a, y in ascending order.\nAnswer: y, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 12*(-2)\/20. Let x = k + 11\/20. Which is the smallest value? (a) -1 (b) 3 (c) -0.3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (1*4344\/(-60) - 2\/(-5))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -y - 50. Which is the third smallest value? (a) 22 (b) y (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2233, -4465, -6697, -8929?\nAnswer: -11161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48752 (base 9) to base 4.\nAnswer: 13332302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/(-12)*-3*(-12)\/84\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*(10792\/1064 + (-2)\/14). Suppose 0 = -0*g + g. Put h, 5, g, -1 in ascending order.\nAnswer: h, -1, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45624 and 42715470?\nAnswer: 170861880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 2 + 2)*(6 - 3 - 4) + 1 - 4 + 1)*(1 - 4*k**2 - 1).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(147) - 4*sqrt(147)) - (4*sqrt(1920))\/sqrt(10))**2.\nAnswer: 26508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3773 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.29, 3, 2\/3, -0.05?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -9. Let s(y) = y - 6. Let k(w) = 7*w - 13. Let g(a) = 8*a - 12. Let r(x) = -4*g(x) + 5*k(x). What is n*s(h) + 4*r(h)?\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 14) in base 11?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q + 54. Let u be i(8). Suppose u*l + 7*l = 20592. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 3) in base 6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276479 (base 10) to base 6.\nAnswer: 5531555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.21, 4, -2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 - 0.185. Let c = 0.036 + j. What is c rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -17, 386, 0.04, 0.7?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5971\/3 + -1994. Let h = -27.8 + 30.8. What is the biggest value in 3\/4, f, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6*(-10)\/(-60)*-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 0.1, -4\/5, -0.3, 0.5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 3 - 2) + 7. Let b = 7 - u. Solve 5*p + 32 = -b*i, -3*p = -3*i - 0*p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1468687 to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 334170 by -423.\nAnswer: -790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13375\/8 - -1660. Calculate the common denominator of j and ((-292)\/80)\/((-4)\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 21272894*p + 106364445.\nAnswer: (p + 5)*(p + 21272889)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*g = -3, -g + 0*g = 5*d - 15. Suppose -j - 23 = -6. Let m = j - -28. What is the remainder when m is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60 + -273336?\nAnswer: -273406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (-5*((sqrt(931) - (-1 + sqrt(931)))*4 - sqrt(931)) - 1*4*sqrt(931)*-1))*6.\nAnswer: -120 + 378*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/70*1005*1. Suppose 9*s = 6*s + l. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c446 + -38c?\nAnswer: c087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**2 - 67*v + 11. Let c(j) = -9*j**2 + 156*j - 26. Let y(q) = -3*c(q) - 7*n(q). Let z(r) = 5*r**2 - 16*r - 5. Give -4*y(i) - z(i).\nAnswer: -i**2 + 12*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 2025?\nAnswer: -2028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 - 21. Let v = -0.297982003 - -63.297964703. Let y = v - l. Round y to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 11:38 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -644*f**2 + 10*f - 474. Let r(o) = -645*o**2 + 8*o - 475. Let y(z) = 5*r(z) - 4*v(z). Find the first derivative of y(u) wrt u.\nAnswer: -1298*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 11*g + 106. Give x(-11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b8a0 - -111a?\nAnswer: -2a783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*k - 8*k + 38*k - 13*k - 3737 + 926 to h*k + m and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.5932376 minus -11.36558?\nAnswer: -22.2276576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5058021318.00336 - 5058796542. Let v = r + 775339. Let k = v + -115. What is k rounded to four dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4656)\/(-15714))\/((-140)\/9).\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-one halves of a litre?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25606 by -62.\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170197, 340406, 510625, 680854, 851093?\nAnswer: 1021342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -2*p**2 + 42*p - 9589. Let k(v) = 12*v. What is k(o(a))?\nAnswer: -48*a + 504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 12, 75, 5, -11 in descending order.\nAnswer: 75, 12, 5, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000116873 to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26290, 26386, 26638, 27124, 27922, 29110, 30766?\n\"Answer: 13*u**3 + 5*u + 26272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 43\/3)\/(6\/9). Solve -v - 23 = 3*q - 8, -4*v = 2*q + h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 1\/2*f**2 + 0*f + 0*f**3 - 2 - 13\/4*f**4. Calculate the smallest common multiple of 14 and a(-1).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -88 - -13?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - g - 8, 0*l = -l + 5*g + 14. Sort 1, 5, l in increasing order.\nAnswer: l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-8\/7))**43*((m\/(m\/(m**(-1\/4)*m*m*m)*m))\/m)\/(m\/(m\/m**10)))**(5\/4) assuming m is positive.\nAnswer: m**(-8175\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -297, -293, -289, -285, -281?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 1, 4, -5, 20, 12, 690 in ascending order.\nAnswer: -5, -2\/5, 1, 4, 12, 20, 690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6998 divided by 2\nAnswer: 3499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q - 79*q + 43*q + 0*q**3 - 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532269454.\nAnswer: 2, 47, 109, 51949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2. Let a(g) be the first derivative of 29*g**5\/60 + 5*g**2 + 102. Let j(n) be the second derivative of a(n). Give j(l(v)).\nAnswer: 261*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*v - 3*c, 3*v + 2*c - 12 - 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43546218, -43546187, -43546156, -43546125, -43546094, -43546063?\n\"Answer: 31*g - 43546249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650006*o + 50*o**3 + 650006*o + 249*o**3.\nAnswer: 299*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 19 - (-6 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 784 - 1591 + 4*q + 526*q**2 + 799.\nAnswer: 526*q**2 + 4*q - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, t: 2, u: 8, e: 1, g: 2}. What is prob of picking 2 q and 1 u?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4334 divided by 197?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**5\/15 - w**2 - 60. Let l be (-2)\/(-9) - (-68)\/18. Let t(r) = 3*r**2 - l*r**2 - r**2. Determine t(x(j)).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -10 + 1)\/((-4)\/6). Let m(q) = 6*q + 21*q**2 - 14 + 3*q - o*q**2 + 6*q. Is m(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v - 2*v**2 - 7*v - 2*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 181170 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(143\/(-286))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + 4)\/(48\/18). Which is the biggest value? (a) -2 (b) -2\/13 (c) 2 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/64 and -58\/5.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**6\/120 - i**5\/30 - i**4\/12 + i**3\/3 + 3*i**2. Suppose -3*z = 5*v + 10, 0 = 6*z - 2*z. What is the units digit of u(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023517 rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.5 + -3. Let n be (-95)\/(-14) + (-2)\/7. Let m = 115\/18 - n. Which is the third smallest value? (a) 1 (b) f (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjjjjjjqjfjjfqjjqj. What is prob of picking 2 j?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662 is divided by 174?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*10970.6\nAnswer: 1097.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 103804*a + 1346908802.\nAnswer: 2*(a - 25951)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(108) + -1*sqrt(108))*6)\/(1*(sqrt(9) - sqrt(18)\/sqrt(2)) - sqrt(9)) + 0)**2 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -396*l**3 + 6*l**2 + 6*l - 1. Let d(y) = -1194*y**3 + 16*y**2 + 16*y - 2. Calculate -3*d(k) + 8*f(k).\nAnswer: 414*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.4 (c) 0.03 (d) -0.12 (e) 5 (f) 13719\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 10 - 20*s**3 + (3*s - 2*s - 3*s)*(-2*s + 2*s + s**2) to b*s**3 + x*s + a*s**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 - 2304?\nAnswer: -2350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 5*k - 23, -17*k + 10*k + 9*k - 8 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -605*b - 4018221 = -3984341 for b.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*g + 37*g = 9*g + 3360. Suppose 3*v + 6*s = s + 480, s = v - 160. Calculate the highest common factor of v and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**8\/80640 + f**7\/20160 + 2*f**5\/5 - 25*f**2. Let a(n) be the third derivative of d(n). Factor a(k).\nAnswer: -k*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2. Suppose 3*t = 5*d + 5, -5*d + t - 347 + 342 = 0. Let m(s) = -5*s**2 - 4. Determine d*m(c) - 2*n(c).\nAnswer: 3*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.432 - 0.068. Which is the second smallest value? (a) 0.2 (b) -8 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383, -497, -667, -893?\nAnswer: -1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2150 is divided by 71 + (-1 - 2) - (-194 - -185)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in centimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -2\/381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -13, 2, 0.9 in ascending order.\nAnswer: -13, -1, 0.9, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 220, 404, 590, 778, 968, 1160, 1354?\n\"Answer: c**2 + 181*c + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -q + 13, 2*k + 0*q - 2*q + 2 = 0. Solve 3*v + 29 = k*i, 4*v + i = 3*v + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3128619.\nAnswer: 3, 13, 80221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18*0.14\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(3*3\/(-54)*-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6b9235 - -1?\nAnswer: -6b9234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rraaroaorao. Give prob of picking 2 r.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5824 + -5824.5. Which is the smallest value? (a) l (b) 3\/4 (c) 2 (d) 7 (e) -7\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**7\/70 + 5*c**4\/8 - 5*c**2. Find the second derivative of m(w) wrt w.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(12\/(-4))*3962\/(-1415).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23362103981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 - 3*g**3 + 3*g**3 + (-3 + 2 + 3)*(-g**5 + 4*g**2 - 4*g**2) + 9*g**5 - 2*g**5 + 9*g**5 + (2*g**2 + 0*g**2 - 3*g**2)*(-4 - 3*g**3 + 4).\nAnswer: 19*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24163508513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 420*-1*((-2)\/3 - 0). Suppose -16*p = -11*p - s. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b9734e (base 16) in base 11?\nAnswer: 6951269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -71*i**3\/6 + 3*i**2 - 11*i. Let z be g(-3). Let v be z\/13 + 22\/143. Solve -3*j = y - 2*y + 11, -y = 4*j + v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/60 - 11\/10. What is the third biggest value in 4\/9, -2, l, 3\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/15 - (678\/(-2945) - 120\/1860).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(7) + sqrt(112))*-6 - sqrt(12)\/(sqrt(576)*-1 - sqrt(576)).\nAnswer: -139*sqrt(3)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -303 - -71. Let g = 238 + h. Solve -7*r + 3 = -g*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218987478?\nAnswer: 2, 3, 41, 296731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**5\/9 - 100*x**4\/9 - 34*x**3\/3 = 0.\nAnswer: -1, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q - 10*q**3 + 4*q**3 + 6*q**3 + 3*q**2 - 2 + 11*q**3 - 2*q. Let r(d) = d**3 + d**2 + d. Calculate -c(t) + 3*r(t).\nAnswer: -8*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -976*g - 6 - 3 + 5 - 4 + 3.\nAnswer: -976*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1404880672 to the nearest integer?\nAnswer: 37482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1289, 2\/3, -5, 2\/11, -0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 254385982\/7 or 36340854?\nAnswer: 254385982\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53\/(-477)*-81 + (-1 - 18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, p: 2}. What is prob of picking 1 p and 1 c?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, -3, 0, 5, 12?\n\"Answer: v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*m*r*u**2 + m*r*u + 6*m - r*u**2 - u**2 + 4*u wrt u.\nAnswer: -128*m*r - 2*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/10)\/((-12)\/(-105805)). Let i = 3514 + y. Find the common denominator of i and (850\/(-60))\/((-22)\/(-6)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 2\/4*-4. Solve -o*j = 3*r + 9, 21 = -2*j - 0*r - 5*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 8 = 5*i + 3*n, 4*n = 2*i - 4. Suppose 3 = -b, -2*b = -i*s + 503 + 959. List the prime factors of s.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**5 + 1946912*f**4 - 11681616*f**3.\nAnswer: 4*f**3*(f - 6)*(f + 486734)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15609, -31198, -46799, -62418, -78061?\nAnswer: -93734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(1 - 6\/4). Let m be (-2 - (-10 + 3)) + (-1 - 1). Which is the third smallest value? (a) 0 (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwmv when four letters picked without replacement from cmwwvv?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (12 - (6 + 22)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u - 12 = 4*v, -v + 3 = -5*u. Let d be 6\/(-4) - 11\/v. Solve -x - 2 = 3*o, 5*o - d*x - 4 = -2*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55132, -220472, -496034, -881812, -1377800, -1983992?\nAnswer: -2700382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -364 - -365. Is m at least as big as 1\/262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(36\/(-27))*(-82)\/(-123).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 + -0.21. What is the closest to d in 1\/3, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 12*l + 8*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3 - 5 = -4*a, 0 = 3*t - 2*a - 5. Suppose -2*z + j + j = -16, 5*z + t*j - 8 = 0. Solve y = 1 - z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/7, -2\/9, 1, -1\/49, -24?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16028*v**3 - 3*v**2 + 7711*v.\nAnswer: -96168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 144*q**3 - q**2 - 2*q. Let n be x(2). Let -n - 5*p - 5*p**2 + 1144 = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 480 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 16*o**2 - 29*o - 6. Let m be u(-14). Suppose 18 = n + n. Let d = n - -23. Calculate the highest common divisor of m and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0106453ml in litres?\nAnswer: 0.0000106453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**3\/3 + 2*h**2 + 10. Let u = -26 - -29. Determine j(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12790 and 1.47.\nAnswer: 18801.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 401256.9 to the nearest one thousand.\nAnswer: 401000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*k + 79352 = -658*k + 19938 for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 34606554?\nAnswer: 34606554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u - 1107 = 629 for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(55\/10) - -58. Suppose 60*d = o*d + 60. Let r(j) = -j**3 + 16*j**2 - 15*j - 1. Determine r(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -i - 17, 17*w + 11414 - 11269 = -5*i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 plus 30335?\nAnswer: 30351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59.49 - -50.1. Round k to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.0802 to one dp.\nAnswer: 27.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82980 is divided by 336?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 1. Let b(y) = 7*y + 7. Let k(l) = -b(l) + 6*i(l). Let p be 1\/((-42)\/30)*-7. What is k(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17738?\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -2*a + 10, -16*a = -18*a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*k - 20 = -73, 3*p - 2*k = 61. Calculate the remainder when 33 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j - 118944 + 409993. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4298 and -0.4.\nAnswer: -0.17192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1067\/3, 6, 0.2, 2, -3, 2\/9 in descending order.\nAnswer: 6, 2, 2\/9, 0.2, -3, -1067\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - -2. Let g be (-303)\/(-27) - 12\/f. Let u = 15 - g. Solve a + 15 = u*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p + 13. Let i(j) = -2*j**2 + 6*j**2 - j**2. Give d(i(w)).\nAnswer: -6*w**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -669.999784 + 670. Round h to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2*a - 2*a + 29 = 0, -4*y - 3*a = -23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*w - 0*g - 1737, -3*w - 1047 = 3*g. Let f = w - -462. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 11 + -1 + 7 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 1, a: 2}. Give prob of sequence pn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*86.27.\nAnswer: -34.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 17, 2\/11, -1, -2\/7, 0.2, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00051437556 to five dps.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*j**3*u - 5*b*j**3 - 25*b*u + 6*j**3*u + 3*j**2*u wrt b.\nAnswer: j**3*u - 5*j**3 - 25*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 445*x - 439*x. What is the nearest to x in 2\/7, 5, 13\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41, -148, -325, -572, -889, -1276, -1733?\n\"Answer: -35*t**2 - 2*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 282, 564, 846, 1128?\n\"Answer: 282*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5388 = -3*d, 28*d + 2*g = 33*d + 8961. Let c = d + 3183. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -2014514?\nAnswer: -2014513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1071*a - 3527. Is l(66) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 5*b**2 - b + 7. Let v be o(-5). Let x be -1 + -1 + (-3)\/(-3). Let t be -1 + -1 + x + 9. What is the greatest common divisor of t and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.4 - -8.9. Let o = -0.732 - g. Round o to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111111001 + 101011011000110?\nAnswer: 101001011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.66 in -1\/4, -0.06, 0.082?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o + 4*v = 19*o + 10, 4*o - 3*v + 15 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 1 - (-3 + 2). Suppose 2*x - 100 = -q*x. Suppose 14 = 2*c + 2*u, 8*c - 3*c = -3*u + x. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568287519 to the power of 1\/3, to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11118*r + 0 - 11119*r - 4. Let v(a) = -2*a - 3 - 6 + 4. Let f(j) = -2*j**3 + 67*j**2 - 155*j - 6. Let x be f(31). Determine x*v(s) + 7*p(s).\nAnswer: 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0 (c) -0.097 (d) -17.5 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 77\/2*(-36)\/(-546)*13. Solve 4*n - 15*n - v = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(-52 - 56*x + 58*x - 70)*(x + 0*x + x).\nAnswer: -4*x**2 + 244*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 192326857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6835, 13697, 20559, 27421, 34283?\nAnswer: 41145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46609.\nAnswer: 127, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 3*c**2 + 21*c - 142. Suppose o - z = 12 + 106, -4*o + 2*z = -464. Suppose 4*g = -38 + o. Calculate the remainder when q(6) is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxhm when four letters picked without replacement from {s: 9, a: 1, h: 1, m: 1, x: 5}.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 + -35. Suppose -4*v - 2*y - 3 = -19, -5*v + j = -2*y. Find the second derivative of -5*r + v - r**3 - 6 + 3*r wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*i - 15*i - 22*i**2)*(-123 + 74 + 121)*(-1 + 3*i + 1).\nAnswer: -4752*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 5.3, 1?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239, 276, 303, 314, 303?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 38) + 2 - (-428 + 281).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-971 + 971 - 235*f**2)*(-f**2 + f**2 - f**2 + (0 - 2*f + 0)*(0*f - 2*f + 0*f) - 2*f**2 + 2*f**2 + f**2 + 2*f**2 - 2*f**2 - f**2 - 3*f - f**2 + 3*f).\nAnswer: -470*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16911 - -37008. Let g(l) = l**2 - 20097*l - 4 + f*l. Give g(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8498882 - 93*k**2 + 2*k - 8498868 - 2*k as i*k**2 + b*k + m and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21.6775 and 0.1.\nAnswer: -21.5775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(3420\/(-8) - 3). Suppose -3*m = -3*t - w, 4*m - 1439 = -m + t. Suppose -4*n + 135 - 7 = 0. Calculate the greatest common factor of m and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**3\/3 - 2*i**2 - 3*i + 2. Suppose 2*u + 15 = -3*u. Determine c(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/8))**17*d*d*d**(1\/34)*d\/d**(4\/7)*d*d)**(-26) assuming d is positive.\nAnswer: d**(-28873\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1029 - 9463118\nAnswer: -9462089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3076164 and 364?\nAnswer: 3076164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/10 less than or equal to 2224608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 6, 0.2, 0.026, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561280622?\nAnswer: 2, 7, 79, 191, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -175, -5, 4 in increasing order.\nAnswer: -175, -5, -2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 + 1 + 2*f**4 + 27*f - 20*f + 57*f**3 - 57*f**3 to the form m*f**2 + q*f**4 + l*f + z*f**3 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31864510 to the nearest integer?\nAnswer: 5645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (14\/6 - 0).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -9609614.\nAnswer: -4804807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 345 - 3?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/37 - 103\/148. Which is the second smallest value? (a) 2\/11 (b) 23 (c) w (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 - 2.93. Put -1, u, 4\/7 in descending order.\nAnswer: 4\/7, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204523791 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1.8, 1\/5, -18.58 in decreasing order.\nAnswer: 1\/5, -1.8, -5, -18.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227244 is divided by 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008203 rounded to 5 dps?\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + 4 + -23 + 12?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1145 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2826064 and 8776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 57 = p, -4*k - p + 144 = 39. Suppose -2*b + 7*f = 6*f - 13, -k = -4*b + 3*f. Solve 0 = -7*l + b + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, s: 8}. Give prob of picking 3 s.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -2.22293.\nAnswer: 2.77707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(-1\/59)*(l\/l**0)**(-31))\/((l**3\/l)\/(l*l**(-1)))**41 assuming l is positive.\nAnswer: l**(-113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 2*z**2 - 10*z - 12. Let b be f(5). What is the highest common divisor of b and 832?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (321\/(-963))\/((-2)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:10 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-9) - (-2)\/6. Let t(l) = l - 5. Let z be t(8). Let r(h) = -z + 2 - 5*h + 0*h + 2*h. What is r(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 7 + 3)*(4*l + 7*l - 9*l)*(2*l - 2*l + 2*l + (-3 + 3 - 1)*(-l + 0*l + 2*l))*(1 + 2 - 1) in the form h*l**2 + n*l + t and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tllllltllllltllttll. What is prob of picking 1 t and 3 l?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.861744ml in litres?\nAnswer: 0.005861744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-162)\/(-7))\/(8\/56). Suppose 4*m = 2 + s. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 8:26 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1379594.\nAnswer: 2, 689797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((-2)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -220937271*b**5 + 1960*b**2 - 11645*b wrt b.\nAnswer: -13256236260*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -10 + 7*i + 5*i - 5*i. Let s(m) = 3*m - 5. Let h(w) = -6*p(w) + 11*s(w). Is h(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1.1 (c) -8 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 9*r**2 - 4*r - 28. What is the smallest common multiple of 3 + -4 + 1*3 and d(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a tonne in kilograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**2 - k + 3. Let x(i) = -6*i**2 - 2*i + 3. Let b(o) = -4*t(o) + 3*x(o). Let v be b(4). Let f = -13 + v. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/624 and 29\/582.\nAnswer: 60528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-2*(-8)\/(32\/(-4))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 668687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -118088?\nAnswer: 118083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 185 = 7*l + 5*p, 2*l - 49*p - 141 = -54*p + 41 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4 + -6 + (-174)\/(-36). Do 27 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -2261434?\nAnswer: 2261433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 9:31 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*u, -5*h = -3*u - u - 28. Suppose h*r - 76 = 80. What is the remainder when r is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400.490089 - 0.2\nAnswer: -400.690089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/8 - 2\/4. Let b = 0.096 + -1.116. Let p = b + 0.02. What is the closest to p in d, -4\/5, 1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 4:29 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 4\/(-5)*(-56 + 31). Suppose -130 = -g*d - 7*d. Solve 0 = -d*u + n + 12, 2*n + 10 = -3*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1296)\/864)\/((-8)\/6*165\/(-40))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*x**3 + 1 - 29*x**4 + 3*x**2 + 51*x**4 + 57*x - 56*x - 15*x**4 as u*x**3 + y + m*x**4 + p*x + w*x**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 35. Let j be 906\/1963 - (-222)\/26. What is the greatest common factor of j and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181467807 + -12\nAnswer: 181467795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -30. Solve -5*h - u = -4*r + r, h + 13 = 5*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 4d325?\nAnswer: 4d325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -4 (c) -0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74383125.\nAnswer: 3, 5, 39671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/10)\/((-8620)\/(-1725) - 5). What is s rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 200 + -124. Let i = q + -51. Let c = i + -20. What is the second biggest value in 0, c, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*l = -351*l + 24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15644 + 15643.8. Which is the fourth smallest value? (a) t (b) 1 (c) 19 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31439, 251463, 848689, 2011721, 3929163?\nAnswer: 6789619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**3*w**3 + h**3*w - 46*h**2*w**2 + 43429*h*w**3 + 4*h*w**2 + 2*w**3 - 6*w**2 wrt w.\nAnswer: -18*h**3 + 260574*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 9. Suppose -t = -2*t - 7. What is the lowest common multiple of i(t) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 3*l - 4. What is o(-8)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o**2 + 18*o**2 - 10*o**3 + 70*o**2 - 2*o**2.\nAnswer: -10*o**3 + 106*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - v + 1. Let i(u) = u**2 - 5. Let p(n) = -i(n) - 2*m(n). Let g(h) = h**3 - h**2 + h - 2. Let c be g(0). What is the units digit of p(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 2:04 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15bd (base 15) in base 14?\nAnswer: -19c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 2*a**2 - 7*a + 55343. Is c(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 2*u - 10, -47*m + u - 7 = -44*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 52?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50800487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -68466*g - 108534*g - 65 + 65. Let w be r(-2). Suppose 3*t = -3*t - w. What is t rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a + 4. Suppose -4*p - 4*z + 7*z + 20 = 0, 4*z = 5*p - 26. Let f(j) = -7*j - 16. Let w(m) = p*f(m) + 9*g(m). Differentiate w(t) with respect to t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -30*o**2 - 5*o. Let l(c) = -16*c**2 - 3*c. Let j(g) = 5*l(g) - 3*u(g). Let s(i) = i. Determine j(s(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.97 + -3. Let f = r + 1.03. Let y be 1 - (-2 + 4 + 0). Which is the smallest value? (a) 0.5 (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5\/2 + 223*f**4\/2 + 14178*f**3 + 136096*f**2 - 11986048*f + 23312520 = 0. What is f?\nAnswer: -58, 2, 22, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -14*h**3\/3 + 6*h**2 + 10. Find the second derivative of t(m) wrt m.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12303523217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(12\/4) - -8. Suppose -5*r + s + 12 = 0. Solve -p = -3*p + r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from geeeemmmmnem?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**6\/120 + g**5\/60 - g**3\/2 + g**2. Let d(l) be the first derivative of u(l). What is the second derivative of d(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680\/(-29070)*54\/(-12)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Product of 6.2192 and -1675.\nAnswer: -10417.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2097383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 15*n + 1157. Let c be j(-59). Put -5, -2, c in decreasing order.\nAnswer: c, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.048 - -24.952. Let z = c + -20. Let f = 0.6 + -1. Sort z, f, -2 in ascending order.\nAnswer: -2, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 48*x + 290. Let q be m(-41). Which is the third biggest value? (a) 0.1 (b) q (c) 5 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43772400 to the nearest 1000000.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -119, 5, -9, 7 in ascending order.\nAnswer: -119, -9, 1\/3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*s - 82*s + 51*s.\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 53. Let d(s) = 6*s**3 + s**2 + 5*s + 5. Let m(f) = 3*f**3 + 2*f + 2. Calculate l*m(o) + 2*d(o).\nAnswer: -3*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzhh when four letters picked without replacement from zhzhzcvzzezvvhe.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -58387.096 rounded to the nearest one thousand?\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + t = 120, -11*d + 3*t = -7*d + 96. Let n be -4*21\/d*(-2)\/(-7). Solve -3*f + 10 = n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150.633 - -319.78\nAnswer: 470.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 6 = -f, -21*f - 2 = -16*f + 3*o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 f, and 1 j when four letters picked without replacement from {i: 2, f: 1, q: 1, j: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 39*y - 37*y - 3*o, -5*y = -2*o - 39. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 1. Let j(l) = 22*l**3 + 2*l**2 - 3. Let h(x) = -j(x) - 2*t(x). Let k = 9481 - 9482. Give h(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1 = 9. Let z = 6 - u. Suppose 4 = z*d - 8. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -1\/3*t**3 + 1\/6*t**6 + 0*t**4 + 2 + 0*t + 0*t**5 + 0*t**2. Find the third derivative of j(q) wrt q.\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**5\/5 - o**4\/4 - 43*o**3\/3 + 85. Find the third derivative of s(d) wrt d.\nAnswer: -24*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a millennium?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(26)*1)\/sqrt(2) + sqrt(13) + -6*sqrt(52)\/sqrt(4))**2*-6.\nAnswer: -6240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**2\/2 - u + 23. Let d be n(-6). Suppose d*l - 384 = l. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - 2. Calculate the remainder when 71 is divided by (-642)\/(-27) - r\/36.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4114644981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -12, 18282 = 4*a - 2*y - 0*y. Is 127 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-135)\/((-1*4)\/4). Find the common denominator of 15\/8 and 0 + -1 + q\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200 - -1?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 423 and 282.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**1\/(d\/d**(4\/23)) assuming d is positive.\nAnswer: d**(4\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -26*s - 8. Let m(q) = -9*q - 3. Let d(h) = 5*a(h) - 14*m(h). What is d(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.806992*2\nAnswer: 7.613984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/40 and -17\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times -265082?\nAnswer: 7157214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 10*a + 4. Let w(d) = -72*d + 12. Let b be w(3). Let f = -72 - b. Calculate the remainder when f is divided by s(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 16 + 9 + -5 + 9.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148 and 3034?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5589571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 59. Let p(h) = -263*h + 92*h + 82*h + 88*h. Determine y(p(t)).\nAnswer: t + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 19*f**2 + 19*f + 25. Let g be w(-18). Suppose n - g*n = -240. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 61*k**3 - 5*k**2 - 12*k + 12. Let m(o) = 53*o**3 - 5*o**2 - 11*o + 11. Let x(w) = -6*f(w) + 7*m(w). Suppose x(n) = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 5*j**2 + 5*j - 2. Let q be h(4). What is the third derivative of -13*r**q + 24*r**6 - 2*r**6 + 32*r**2 wrt r?\nAnswer: 2640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54.40142 * 0.07.\nAnswer: -3.8080994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/13 and (-1 + 10)*32\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1729199680 to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9, 24, 39?\n\"Answer: 15*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*r + 1, 0*r + 9 = 3*n + 3*r. Suppose -2*p + 20 = 5*i, -n*i - 34 = -3*p - 4. What is the units digit of (8\/p)\/(1\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 12. Let t be f(-6). Suppose t = 14*u - 5*u - 164367. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*g**3 + 28*g**3 + 1783*g**4 - 54*g + 190*g**2 - 194*g**2 wrt g?\nAnswer: 42792*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100 - 94. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3300)*-2)\/sqrt(3).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/73 in 3\/5, 2.51, -8?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, n: 16}. What is prob of sequence nnff?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjll. Give prob of picking 1 m and 1 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 134*x - 220. Let l be y(8). Let m = l + -440. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 6:54 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -40?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103473.\nAnswer: 3, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 5668734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9865.99993394 + 9866. Round j to six dps.\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (-23 + -15)) + (-22 - -50).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.85 + 0.8. Let a = -0.95 + l. Let y be (0\/(2*1))\/1. What is the third biggest value in -5, a, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d + 5. Let j(a) = a + 1. Let v be j(-1). Let x(s) = 3*s - 2 - s + v*s + s. Give -3*p(q) - 7*x(q).\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/144 + -1*(-26)\/6. Factor -28 + 5*v**5 + 33 + 5*v**n + 3*v**2 - 13*v**2 - 10*v**3 + 5*v.\nAnswer: 5*(v - 1)**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83 and 4610401.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, 0.1, 0 in ascending order.\nAnswer: -12, 0, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 89419 to the power of 1\/2, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16201, -15571, -14529, -13081, -11233, -8991?\n\"Answer: -c**3 + 212*c**2 + c - 16413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*(-2 + -5 + 2*sqrt(180) + ((sqrt(180) + sqrt(180) + 0)*3 + sqrt(180) - sqrt(180) - sqrt(180) - sqrt(180))) + -4)**2.\nAnswer: -16416*sqrt(5) + 234724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 11:17 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 132 - 132 + 5*v. Let o(p) = 5*p**2. Determine o(f(i)).\nAnswer: 125*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1453178700 divided by -64175?\nAnswer: 22644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 15*m**2. Let p(x) = 3*x + 21930. What is p(a(k))?\nAnswer: 45*k**2 + 21930","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1899768653.\nAnswer: 269, 7062337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 28 - 7. What is the second derivative of 8*d - d - d - x*d**3 + 0*d wrt d?\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b - 12*b + 16907 = 0. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -14*v**5\/5 + 5*v**4 + 26*v**3 - 18*v**2 - 748. Suppose d(a) = 0. Calculate a.\nAnswer: -2, 0, 3\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c - 38. Let m be i(36). Round m to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/12*(10\/(-6) + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18142 is divided by 474.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1075, -2162, -3251, -4342, -5435, -6530?\n\"Answer: -l**2 - 1084*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-12 + -1)) + (1513 - 1522)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2\/3*r**3 + 0 + 2\/3*r**4 - 2\/3*r**5 - 2\/3*r**2 + 0*r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.606 take away -1?\nAnswer: -0.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -10*a**5\/11 - 1354*a**4\/11 + 2206*a**3\/11 + 1906*a**2\/11 - 1644*a\/11 = 0?\nAnswer: -137, -1, 0, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752371.\nAnswer: 43, 17497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10 - 7 - 2*w - w. Determine p(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**6\/210 - p**5\/15 - 2*p**2 + 56. Factor r(h).\nAnswer: -4*h**2*(h + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/6*(-15)\/((-90)\/66576). Is (f\/228)\/(1\/(-3)) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-7)*o)\/o)\/(o\/o**(-2\/5)*o*o))\/(o**(-4)\/(o*o*o*(o*o*o**(-2\/3))\/o)) assuming o is positive.\nAnswer: o**(-31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -6*j + 5*j. Suppose -25*k + 29*k - 100 = j. Solve f = 4*g + 14, 5*g - 4*f + k = f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**5\/5 - 5*r**4\/24 + r**3\/2 + 3*r**2. Let h(m) = -3*m**2 + m - 1. Let n(j) = -2*a(j) - 9*h(j). Is n(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 334 - 318. Calculate the lowest common multiple of h and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 - -17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**3 + 2*o**2 - 7*o + 8*o - o**2 - 22 - 5*o**3. Calculate y(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4126 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 21083352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 67*a**8\/84 + a**5\/4 + a**4\/8 - a**2 + 41*a. What is the third derivative of q(g) wrt g?\nAnswer: 16080*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/14 - (-1 - (-9)\/21). Let w be o\/(-3*(-4)\/12). Solve -y + 0*y - w = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o - o + 6*o. Let z(c) = -18*c**2 - 5*c - 10*c**2 + 27*c**2. Calculate 5*x(a) + z(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 25*z**3\/3 - z**2 + 10*z. Let l be r(4). Calculate the highest common divisor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17600 = 4*a - 17*c + 16*c, -3*a + 5*c + 13217 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.034 + -26.4. Let k = l - 2.134. Round k to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137863 divided by 919\nAnswer: 137863\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/(1\/(-12)). Let y be -44*(g\/8)\/3. Calculate the greatest common divisor of y and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/7)*t**(4\/5)*(t*t\/t**0)\/t**(-3))**(2\/117) assuming t is positive.\nAnswer: t**(496\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 180*h**4 - 130*h**3 - 755*h**2 + 240*h. Let j(v) = 15*v**4 - 11*v**3 - 63*v**2 + 20*v. Let w(r) = 35*j(r) - 3*y(r). Factor w(t).\nAnswer: -5*t*(t - 2)*(t + 2)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39054137897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 30*r**2 + 146*r + 50. Give f(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000041857 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3350*u + 3371*u - 223 - 134 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + y - 4*y)*(-3 - 1 + 2)*((-1 + 0 + 0)*(-1 + 1 - 1) - 277 - 11 - 157).\nAnswer: 888*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -428 + 430. What is the smallest value in z, 6\/43, 0.4?\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 345 = -h. Let x = -18 - h. Let k = -34 + x. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 8:37 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2597 - -3127. Which is smaller: a or 529?\nAnswer: 529","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5955 and 14689?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/3731892 and -61\/217356.\nAnswer: 220181628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 0. Let r be (i\/30)\/((-2)\/(-1)). Let h = 4 - 4.1. What is the biggest value in h, r, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4211046397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 76\/1215?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(-5 + sqrt(343) + sqrt(343)) + -2)**2 + 3.\nAnswer: -1428*sqrt(7) + 12636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -155*i + 150*i. Suppose i = -g + 4 - 2. Solve -y - 3*y = -g*w + 8, 0 = w + 2*y + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4722*v - 4791*v - 345 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 2715*v**2 - 4*v + 4*v - 2714*v**2.\nAnswer: v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1900655 + 4550155. What is o rounded to the nearest ten thousand?\nAnswer: 2650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 7*t - 2. Let l(j) = -j - 2. Suppose 4*s + 765 = 21*s. Let o(q) = -42*q - s*q + 88*q. What is t*o(c) + l(c)?\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 265067, 264956, 264845?\n\"Answer: -111*w + 265178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*i + 510 = -41*i. Suppose d - 55 = i. Let v(x) = d*x + 2*x**2 - 157*x + 1. Give v(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) - (-34)\/(-4). Let p = m - -15. Find the third derivative of 2*r**2 - p*r**2 + r**2 - r**6 + r**2 wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -2. Let r be 15*5\/(75\/(-6)). List the prime factors of (r\/y)\/((-2)\/10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -231, -598, -1111, -1770, -2575, -3526?\nAnswer: -4623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 3. Let t = -99 - -43. Let w = t + 53. Which is the closest to 2\/5? (a) -1 (b) o (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-228)*(-1047)\/(-4886)?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 1. Let b be z(-4). Suppose -b*n - 45 = 2*c, 3*n + 2*c = 4*c - 11. Let s(h) = -3*h + 2. What is the tens digit of s(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.72904 and 0.5?\nAnswer: 4.22904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1420)\/1775*(-1)\/2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*k + 36*k = 21 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjmemjjsmjsyyymj. Give prob of picking 2 s.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 161 = -3*k, -4*k = k + 2*p - 275. Let i be (-3 + k\/21)*-7. Let m(c) = 3*c**2 + 0*c**2 - c**i + 12*c**2. Let w(o) = o**2. Determine w(m(g)).\nAnswer: 196*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/210*20*6\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-409 - 277 - 22 - 133 + 1)*(-11*x**2 - 8*x**2 + 12*x**2) in the form j*x**2 + k + q*x and give j.\nAnswer: 5880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (-3*(sqrt(288) + 0))**2) + -1 + sqrt(288) + 3 + (-2*sqrt(288)*1 + sqrt(288) + -1 + -3)**2.\nAnswer: -2286 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*r + 6*l + 2800, -4*r + 2240 = -5*l. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m*v**2 + m*v + 843*m - 4*v**4 + 4*v**2 - 2*v wrt v.\nAnswer: -2*m - 48*v**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.8002 (b) -10\/7 (c) -3\/2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-62)\/(-12) + (41\/6 - 7). Find the second derivative of 18*t**z + 11*t - 20*t + 3*t**5 wrt t.\nAnswer: 420*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.3 - 32.299902. What is i rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 440\/242 + 2\/11. Suppose -3*q + 44 = 2*f, x*q + 0*f = -4*f + 24. Let r = q + -13. Solve -8 = -2*i + 3*j, i + 4*j = 2*j - r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Suppose 0*z = -j*z. Suppose 0*s - 10 = -5*s, 4*a - s - 278 = z. What is the greatest common factor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14\/69 + 3\/23. Which is smaller: d or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - y = -0 - 1, 0 = c - 2*y - 1. Let j be (c*(-2 + 2))\/(-1). Solve 0 = 4*f - 3*k + 15 + 17, j = -4*k + 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935718663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 14*a + 2. What are the prime factors of i(2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 101, 129, 91, -13, -183?\n\"Answer: -33*h**2 + 127*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b232 (base 15) to base 5\nAnswer: 2200442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 324 + 12. Suppose 396 = 5*v - 3*m, -4*v - 4*m + 0*m + w = 0. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7651781.\nAnswer: 1627, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, l: 13}. Give prob of picking 1 p and 3 l.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12.55133 tonnes?\nAnswer: 12551.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 262 = -38. Calculate the highest common factor of 45 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 - 1 = 0. What is the closest to -1 in j, -9\/2, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 0)*1 - 31\/(-1). Suppose -125 = 26*v - s*v. Calculate the highest common divisor of v and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 z when three letters picked without replacement from {l: 4, p: 3, z: 3, c: 4}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 52 - 10. Suppose 14640000 = -l*u - 17*u. Round u to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 + 9 - 71)*(-u + 8*u - 1 - 6*u)*(u - 3*u - u).\nAnswer: 435*u**2 - 435*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 32.9 times 5\nAnswer: 164.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.12, 0.7, -2, -2711, 2\/7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 11*y**2 - 21*y + 31. Let j be r(9). What is the units digit of (-8 + j)*-29 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 6:22 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1653*x**2 + 2*x + 1. Let a(h) = -828*h**2 - h. Determine -5*a(f) - 2*n(f).\nAnswer: 834*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n - 40. Calculate t(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1158009 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 3)*(-5*a + a + 3*a) + 4*a + 5*a - 2*a)*(a + 2*a + 3*a).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8408 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2155779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678 is divided by (-18 - 0) + (-6233)\/(-271).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1338, 1306, 1274?\n\"Answer: -32*o + 1370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 188217555821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4102, -5255, -6348, -7351, -8234, -8967?\nAnswer: -9520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 9. Let l(o) = o - 6. Calculate -5*j(y) + 7*l(y).\nAnswer: 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34223?\nAnswer: 7, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + 2 + -2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1432592 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1209 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 28*v + 4 - 1160*v**2 + v**3 + 1158*v**2 in the form k*v**2 + d + o*v**3 + t*v and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8 + r + r + 6. Suppose -4*q - 2*p = -p - 24, 2*p = 4*q - 12. What is l(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 2*u**3 + 0*u**2 + (-12*u + 61 - 61)*(-761*u**2 + 394*u**2 - 515*u**2 - 962*u**2).\nAnswer: 22130*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -19*u**4 + 8*u**2 + 84*u - 8. Let k(j) = -j**2 + j + 2. Let t = -385 + 386. Let d(y) = t*r(y) + 4*k(y). What is the second derivative of d(i) wrt i?\nAnswer: -228*i**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115b2b (base 14) to base 13\nAnswer: 1796b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14 - (-310)\/15)\/4. Let j(c) be the first derivative of 15 - 15\/2*c**2 + 20*c - l*c**3. Factor j(y).\nAnswer: -5*(y - 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 369 + 5616. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -452*y - 3340. Determine v(-7).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 23004?\nAnswer: 22443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62807 is divided by 757?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 0*v**6 - 4*v + 0*v**5 + 0 - 1\/6*v**7 + 0*v**4 + 5\/6*v**3 + 0*v**2. What is the second derivative of m(i) wrt i?\nAnswer: -140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 - 5*m**3 - 2*m**3 - 5*m**3.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -102100220 (base 3) in base 5?\nAnswer: -231121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1863*m - 2189*m - 3570*m + 351*m - 4031*m to the form z*m + v and give z.\nAnswer: -11302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**5\/60 + j**4\/8 - 3*j**3\/2 + 286*j**2. Give i(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*r**4 + 3*r**3 + 47*r**2 wrt r.\nAnswer: 240*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, -4\/459659, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**4\/5 + 11*i**3 + 491*i**2\/5 + 161*i\/5 - 6468\/5 = 0?\nAnswer: -44, -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-7)*(-2)\/165*-5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + -68 + 34 + 28?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, x: 4, w: 2}. What is prob of picking 2 k and 1 x?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2422*w - 2426*w + g - 7 = 0, -4*g - 5 = -5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96217062 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -298, -0.5, 2 in decreasing order.\nAnswer: 2, -0.5, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38469299 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -179781 + 898931\/5. Determine g so that -2*g + 0 - s*g**3 - 8\/5*g**4 - 28\/5*g**2 = 0.\nAnswer: -5\/4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(4\/7)\/g)\/g)\/g**(-13)*(g\/(g*g\/g**(-2\/3)))**(-48) assuming g is positive.\nAnswer: g**(641\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0 + (-2 + 1 - 1)*(-2 + 4 + 0) - 3 + 3 + 2 + 1 - 1 - 3)*(0*j - 4*j - 3*j)*(-2*j**4 - j**4 + 4*j**4).\nAnswer: 49*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2901040932?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (279\/(-5022) - ((-6)\/(-4) + 33\/(-108)))\/5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8*b = -15. Solve 0 = -5*m - f + b, 5*m + 2*f - 1 = -0*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7214*l**4 + 39257*l**2 - 359827988*l?\nAnswer: 86568*l**2 + 78514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 489 - 153. Suppose -2*x = -q + 28. Solve l - 3*y = -3*l + x, 2*y + 2 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 10:20 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9)\/d**(2\/3))**35*((d**(-1\/2)*d)\/d**(-2\/15))\/(d*d**(-1)*d**(-3\/5)*d) assuming d is positive.\nAnswer: d**(-1379\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 1:01 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(576))\/((sqrt(3) - sqrt(3)*-1)*-2))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/114 - (7\/24 + -1).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.5, 4\/13, -2\/17?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/2, 9, 4.4, 5, 1\/3, 3742, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 9.8585?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*r - 82 = 0, -3*k - 2*r + 107 + 104 = 0. Let h = k + -41. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 19*o = -12. Calculate the remainder when (-6)\/(-9)*846\/4 is divided by 4\/o*3*-18.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s - 6. Let y be h(11). Suppose 106 = 7*o - y. Calculate the greatest common divisor of o and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 274.\nAnswer: -2740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 23*q**2 + q + 23. Let l be t(-23). Let n = 46.4 - 59. Let w = n - -13. What is the second biggest value in -5, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(32))*-1 - (sqrt(512))**2*-3.\nAnswer: -4*sqrt(2) + 1535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98145280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -72. What is l rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 2:11 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llxl when four letters picked without replacement from lffllnlrrxrfffllfffr.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1660 and 7470.\nAnswer: 14940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -152 + 156. Which is the nearest to 0? (a) -6\/11 (b) 1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**0)**(1\/13)\/(w\/(w*w*((w\/((w*w**(1\/3))\/w))\/w)\/w))**(-3\/20))**(-5\/7))**(-15) assuming w is positive.\nAnswer: w**(495\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from {o: 6, e: 1, z: 10}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i + 3*r - 24 = 0, 55 = 5*i + 2*r. Let b be i\/12 - (-1)\/(-3). Let l = 4 + -6. What is the smallest value in b, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z**2 - 50*z + 851. Is t(-47) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, f: 6, b: 2, y: 1, k: 7}. What is prob of sequence fr?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 - 1600*i - 2. Let q(n) = 2*n. Give y(q(h)).\nAnswer: -8*h**2 - 3200*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**2 + y. Let q be v(-1). Suppose 2*n - q - 10 = -f, -4*f = -5*n + 40. Suppose -254*r - 263*r = -751*r + 254*r - 100. Solve n*d - r*d = 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from etpetnnennttetlnep?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m. Let n be (-75 + 74)\/((-1)\/(-13)). Let f(s) = -11*s. Calculate n*l(k) - 6*f(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 2 (c) 5 (d) 99 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*q - 2915*q + 21024 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Let m be (-7 - (2 - 4))\/(16\/16). Let a be p(m). Solve 1 = 2*s + r - a, 37 = 5*s - 3*r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7379 and 3008?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) 2\/5 (b) -3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 290. Suppose -h - w = -3*h. Suppose -341 = -42*t + 31*t. Calculate the highest common divisor of t and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4499721?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 14*3\/(-54). Let j = -7178849518\/1629 - -4406906. Let x = j - -2\/543. Which is the closest to -2\/3? (a) m (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + sqrt(7) + sqrt(7)*1 + sqrt(7).\nAnswer: 2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*j + 3403 = -j, j + 1133 = h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*o**6 + 119*o**3 + 169*o**2 - o wrt o?\nAnswer: -600*o**3 + 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*11\/(-132) + ((-936)\/(-378) - 1).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-18))\/(7\/(-3))*-8\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 21*a - 44*a + 22*a. Let s(m) = 17*m**2. Give s(n(g)).\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -654, -1310, -1978, -2664, -3374?\n\"Answer: -u**3 - 649*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -705 + 705 - 82*g.\nAnswer: -82*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -5. Let u(t) = 2*t. Let r(l) = l**2 - l - 1. Let n(f) = z*r(f) - u(f). What is v in n(v) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2299) + -2)*-4)**2 + 3.\nAnswer: -184237 + 3520*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -28 (b) -2 (c) 1\/4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5512, 21977, 49418, 87835, 137228?\n\"Answer: 5488*s**2 + s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1276, 2, -20 in decreasing order.\nAnswer: 2, -20, -1276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 446512993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 364\/351*234\/(-156)\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17212\/(-38646) + -34*(-16)\/1224. Which is the second smallest value? (a) z (b) 0.1 (c) 2\/11 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 1067 = -211. Let k = 122 - r. Suppose 5*x - q - q = k, q + 271 = 4*x. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, -1, 3 in ascending order.\nAnswer: -8, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**7\/5040 + q**4\/12 + 3*q. Let l(t) be the third derivative of i(t). Find y, given that l(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -544, -816, -1088?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 13992*c**5 + 13987*c**5 - 8*c)*(-2 - 3 + 4) + (-c**3 + c**5 + c**3)*(-4 + 3 - 3).\nAnswer: c**5 + 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1544.5 - 994. Let v = -550 + o. Let u = -23 - -70\/3. Which is the third biggest value? (a) v (b) 2\/13 (c) u (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24641\/24 - 3079\/3. Let x = 0.3 - 0.1. What is the nearest to x in z, 0.02, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 12*o - 6. Calculate p(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1159655 and 2380?\nAnswer: 4638620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119 + 55. Let q = 33 + j. Let y = q - -56. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20008, 40096, 60172, 80230, 100264, 120268?\n\"Answer: -z**3 + 20095*z - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 220.12 and 1.5.\nAnswer: 221.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**5 + 8648*g**4 + 904164*g**3 + 2634752*g**2 - 34544*g - 3513024 = 0.\nAnswer: -2052, -107, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -9*v**3 + 15*v**2 - 3*v - 3. Let h(t) = 1 + 31*t**2 - 7 - 1 - 19*t**3 - 5*t. Let d(w) = 4*h(w) - 9*r(w). Find s, given that d(s) = 0.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k - 65 + 32 + 26 as l + g*k and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, m: 6, l: 2, p: 1, c: 3, e: 2}. What is prob of sequence ce?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 15 = -6*j. Let g be 1\/(60\/52 + 6\/(-39)). Solve -2*l + g = -b, 3*b - 5*l + j = -l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 + v. Let j be q(1). Let x = j - 4. Suppose -4*b + 2*z + 852 = 0, x = -4*b - 2*z + 166 + 670. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84\/63*2\/(28*1)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-1))\/((15620\/(-8))\/55 + 34).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8468975 less than -8468971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zik when three letters picked without replacement from kjeizae.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from sssooyposooopmmqyoo?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7272423 * -13.\nAnswer: 94541499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 50 = 25 + 57 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -107 + -1 + (620 - 565)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = -2*o, 0*o - 2*o + 4*i = 10. Let a be ((-100)\/(-5))\/(o\/(-1)). Let j = -317 - -417. What is the highest common factor of j and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 35*k + 16)*(-114*k**2 - 28*k + 28*k) as f*k**3 + x*k**2 + w + n*k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwf when three letters picked without replacement from hmmmhwfhhfhmw.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 31*q - 29*q - 2, -4*o - 5 = -3*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2317 is divided by 166.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 327 from 118.430525.\nAnswer: -208.569475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -1\/6*j**3 + 0 + 87\/4*j**4 + 7*j**2 - 36*j. Find the second derivative of x(m) wrt m.\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -1, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/48*(-2338288)\/(-2477)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8577 - 6594*a + 17153 - 8576 + 1 - 1 - 2*a + (-a - a + 0*a)*(1 - 3 + 0) + 2*a + 1 - 1.\nAnswer: -6590*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/(-6) + -26 + 39 - 138\/99.\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318236916 divided by -3.\nAnswer: 106078972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1581 + 1585. Let w = 9 + 20. Suppose -f*h + 8*h + 3*s - 121 = 0, w = h + s. What is the remainder when h is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154 + 132. Suppose 8*a - 90 = m. Which is greater: a or 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1 + 2*a + 4*a - 3 - 7*a. Let n be x(-8). Suppose -5*k + 5 = 3*l - 11, -l - n = -3*k. Solve -1 + 11 = -l*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2608)\/144 + 18 - 15\/(-297).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 17*o - 8. Let d be g(8). Let l = d - 42. Suppose 5*v - 36 = -h + 3, 4*h = -4. What is the remainder when l is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.739925 milligrams to kilograms.\nAnswer: 0.000000739925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 25*k - 6. Let u be m(-10). Suppose -28 - u = -8*z. Let j = z + -7. Solve j*s + 2*s = 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.48 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 7:29 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4096255.8 - 4096247.5999959. Let q = x + -8.2. Round q to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-651)\/161 + 0 + 2 and -62\/5.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 + -202. Let d be ((-6)\/(-7))\/((-18)\/x). Solve 4*a - w = -0*a + 13, -4*w + 28 = d*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, 3012, 4 in increasing order.\nAnswer: 0, 4, 13, 3012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 4:09 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q = -8*q + 12, 12 = 2*n - 4*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12222111013 + -10?\nAnswer: -12222111023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/(p*p*p**(-1\/7)*p)))\/p**(-13))\/((p*p\/p**(-2))\/p**(5\/4)) assuming p is positive.\nAnswer: p**(395\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*v**5*w + 20*v**3*w + v**2*w + 20989*v*w wrt v?\nAnswer: 680*v**3*w + 120*v*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvsvksskksvskvkk. What is prob of picking 1 v and 1 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/7 - 48074*c**2\/7 + 48072*c\/7 = 0. Calculate c.\nAnswer: 0, 1, 24036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.93789 years in months?\nAnswer: 887.25468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -126 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 29, 24, 17, 8, -3, -16?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/140)\/((-46)\/(-2898)))\/(((-14)\/(-10))\/7)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 6. Suppose -3*y - 2*y + f = 2*t, 3 = -3*y. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 634*f - 55150. Determine k(87).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/16 - 0)\/(6\/417656). Let n = 85078 + p. Suppose -6*c - 188508 = n. What is c rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.35 to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7294, -29187, -65676, -116761, -182442?\nAnswer: -262719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**3 + 2 - 3*u + u**3 + 3*u + 1.\nAnswer: -8*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + 6*sqrt(192) + 3 + (sqrt(396)\/((sqrt(12) - sqrt(84)\/sqrt(7)) + sqrt(12) + sqrt(12)))\/sqrt(11)).\nAnswer: -97*sqrt(3)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 9*g**2 - g - 11. Suppose -20 - 25 = 5*a. Let b be w(a). What is the remainder when (-11)\/(b*1\/6) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102268 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.255878441 to four decimal places.\nAnswer: -2.2559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*x**3 - 36*x**3 + 94*x**3.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + sqrt(156) + 3*sqrt(156))\/sqrt(12) + sqrt(91)\/sqrt(7) + -4 + 4.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.23, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1957 - -2074. Calculate the remainder when 692 is divided by n.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 + 19.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1190 by -238.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p**2 - 2*p + 7. Let r(u) = -6*u**2 + 2*u - 7. What is 4*c(j) + 5*r(j)?\nAnswer: -2*j**2 + 2*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**2 + 8. Suppose -3*p = -5*n, -3*n - 2747*p + 2745*p = -19. Give w(n).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 371?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 6*i + 2. Let f be o(-9). Let l be f\/203 + ((-1)\/7)\/1. Solve y + 3 + 3 = -3*c, -4*y + 4*c - 8 = l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 57. Let t(j) = 15*j**2 - 4*j - 5. What is o(t(q))?\nAnswer: -30*q**2 + 8*q - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94)\/1034 + 86\/(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -218.8 + 219. Which is the second biggest value? (a) 19 (b) 4 (c) 0.5 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 393*p**2 + 4*p + 12 wrt p.\nAnswer: 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*o*w**2*x**3 + 16794*o*w**2*x - 153*o*w*x**3 + 2*o*w - w*x**2 - 35*w wrt w.\nAnswer: 16*o*x**3 + 33588*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106650 is divided by 1025?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129042487?\nAnswer: 7, 18434641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -1. Let c be 5\/(-1)*(-2)\/w. Solve 1\/2*r**2 + c - 2*r = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 4. Suppose -6*o + 6 = -w*o. What is the remainder when (1\/3)\/((-2)\/(-30)) is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.18 * -9.2\nAnswer: 75.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1326332796?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -6, 84023, 1 in descending order.\nAnswer: 84023, 3, 1, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 4:25 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/(-100))\/(4\/(-15)*36\/12).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199296653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2, -378, -5, 3\/8, 3\/5, -0.9, 1?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5047404 to the nearest integer?\nAnswer: 2247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9737\/45 (b) -5\/6 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, i: 3, p: 5, k: 6}. What is prob of sequence ik?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-573)\/12 + 2\/(-8). Let w(t) = -t**3 - 14*t**2 - 49*t + 3. Let x be w(-3). Let n = j + x. Calculate the remainder when 4 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 1\/6, -62, 2\/9, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 39 + 36 - 41\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*i + 0*i = -16, -s + 28 = -8*i. What is the greatest common factor of 1080 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -397063 - -198.3.\nAnswer: -396864.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133216)\/3620 - (2 + 42\/(-15))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, u: 3, v: 2}. Give prob of sequence vvu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12162 + 31078?\nAnswer: 17816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**3\/3 + 7*s**2 + 16*s + 7. Let k be p(-16). Suppose 5*c = -c + k. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a**3*h*q + 77*a**3*h + 8*a**3 - 14*a**2*q wrt h?\nAnswer: -3*a**3*q + 77*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*b - 83*b - 75 = -5*u, 5*b = 3*u - 46 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 4*n + 20, 2*s - 6 = 10*n - 8*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*r - 31*r**2 - 8*r + 56*r**2 + (-3*r - r + 3*r)*(4*r - 4*r + 2*r) - 2*r**2 + 0 + 0.\nAnswer: 21*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8018, -15999, -23948, -31871, -39774, -47663, -55544, -63423?\n\"Answer: -o**3 + 22*o**2 - 8040*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1935 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104.83988 + 109.239899. Let y = 6.4 - 10.8. Let f = y + a. Round f to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11976562.\nAnswer: 2, 13, 460637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40.3 + 474.3. Let x = j + -433.592. What is x rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 33 = s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7 = -0*n - o, -5*n - 5*o + 15 = 0. Suppose 4*z - 3*z - 10 = 2*a, -3*z + n*a + 30 = 0. Let b(m) = m - 6. Let c be b(z). Is c at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303 - 24592 = -51396*o + 51779*o for o.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*b*z - 15*b - 76941*z wrt b.\nAnswer: 49*z - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7464612, 7464611, 7464610, 7464609, 7464608?\n\"Answer: -o + 7464613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 2\/1025, -144, -0.58?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 3*w**2 - w + 3. Let t be z(-3). Suppose -5*x - 5 = -t*x. Solve -2 = 2*o + x*n, 0 = -o - 4*o + 4*n + 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, q: 10, b: 3, l: 3}. Give prob of sequence bllw.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*u + 2*u + 220, -5*o + 288 = 4*u. Calculate the least common multiple of o and 84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1315 is divided by 188?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 352156056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/154 and 85\/209332?\nAnswer: 16118564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5519 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.13 + -0.07. Let v = 3.2 + t. Let j = 662 + -662.5. Which is the closest to -1? (a) v (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1184.3 * 1.12\nAnswer: 1326.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 2:15 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-31)\/o)\/o**(-2\/3))\/(o*(o\/o**(5\/9))\/o*o*o)**(27\/4) assuming o is positive.\nAnswer: o**(-275\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27671895 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1079030, 4316101, 9711214, 17264369, 26975566?\nAnswer: 38844805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -186, -1\/3, 0.03, 1, 1.067?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 17*s**3 - 7*s**2 - 6*s + 7. Let k be y(3). Let o = k + -389. What is the closest to -1\/4 in o, 0, -2, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1304 - -210302144?\nAnswer: 210304003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**5 - 33935*q**4 + 9754030*q**3 + 50058370*q**2 - 129243065*q + 69464605 = 0. Calculate q.\nAnswer: -7063, -7, 1, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64750)\/1120 - (-210)\/(-448)*(-10)\/(-25)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.086 - -0.186. Which is the nearest to -8? (a) q (b) -1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(363)) - (sqrt(363) + 0)*5)**2*-5.\nAnswer: -88955 + 1540*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 + 5.7. Let r = 25 - 13. Suppose 21 = 3*u + 4*b, -b = -5*b + r. What is the second smallest value in -2\/3, n, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -252546, -252555, -252564, -252573, -252582, -252591?\n\"Answer: -9*q - 252537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 4. Let s = f + 6. Calculate the remainder when 19 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 448.1 + -427. Let v = -21 + j. Let z = 4 - 7. Which is the smallest value? (a) -0.2 (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 877*m**3 - m. Let a be g(1). Suppose 5137 = 7*u - a. Suppose 0 = -4*f + s + u, -4*f + 1079 = f + 4*s. Is 43 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1933 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398*a - 580*a - 436254 = 0. Which is smaller: a or -2396?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372040*p + 744069*p - 372005*p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/8550 and -21\/194300.\nAnswer: 33225300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -165135.\nAnswer: 1\/165135","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by 4.\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 - 119*l - 87. Let y(v) = v**2 - 4*v - 146. Let f be y(13). Let x be h(f). Factor 2\/7*k**2 - 2\/7 + x*k.\nAnswer: 2*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 2*f + 3. Let r be m(-3). Let x(u) = u + 1. Let n(b) = -b**2 - 10*b - 12. Let w(l) = n(l) + x(l). Let c be w(-9). Is r smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 9*y**2 - 14*y - 3. Let q be k(-8). Let g = -177 + q. Let z(o) = o**2 - o. Let p(b) = -6*b**2 + 4*b. What is g*z(f) - p(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2445 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1384 divided by 4\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.0059, 281\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 1\/85, 5?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b3c0 - 2?\nAnswer: -4b3c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90520268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 x when four letters picked without replacement from ttppiipoxoxxxoip.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -183\/7 + 26. Which is the closest to v? (a) 2 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**2 - x - 7. Let q(u) = -4*u**2 - 6. Let t(y) = -6*m(y) + 7*q(y). What is the second derivative of t(z) wrt z?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r = -g + 24*r - 54*r - 4, 8*r + 32 = 0 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -5*t - 2*l + 10, -5*t = -2*l - 62. Let d be 160\/6*(2 - -1). What is the greatest common divisor of t and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75947, 75981, 76045, 76145, 76287, 76477, 76721?\nAnswer: 77025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a + 90. Let l be x(-22). Let i = l + 183. What is the remainder when i is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269, -1095, -2463, -4379, -6849, -9879?\nAnswer: -13475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z + 39*z - 96 = 0. Calculate the remainder when 64 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20201221210212122 + 2?\nAnswer: 20201221210212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/11 and 22\/1887?\nAnswer: 20757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -721949*b**2 - 30*b - 32767050?\nAnswer: -1443898*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 1\/9, -120, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, h: 10, c: 1}. Give prob of sequence hhtc.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(400)*-3 - sqrt(400))*-4)\/((sqrt(80)\/sqrt(2))\/(sqrt(128)*-2 + sqrt(128))).\nAnswer: 1024*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.009 - 19.991. Let i = 20.038 + p. Let l = i - 0.129. What is l rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.29 - -0.49. Let i = 0.07 - -2.73. Let f = i + g. Put -0.2, -4, f in ascending order.\nAnswer: -4, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 14620*n + 87765. Calculate v(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + 4*sqrt(832) - (-1 + -4 + sqrt(832) - sqrt(832)))*-3 + 4)*1)**2.\nAnswer: -768*sqrt(13) + 119824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -643 greater than or equal to 1077.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 19 + 3 + -2 - 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -14\/51097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13958, 14122, 14288, 14456, 14626?\n\"Answer: h**2 + 161*h + 13796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 49 = 2*x - 17, 3*x = 4*g - 286. Suppose -4*o - 5*a + 55 = 0, -5*a + 6 = -4*o + 31. Calculate the highest common factor of g and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6 = 0, -6*n + 3*n = -4*l + 5. Calculate the remainder when 70 is divided by 2\/1*l - (3 + -41).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1786368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k - k + 126. Suppose 21*c = k*c + 84. Suppose 6*s - 282 = 3*s. What is the remainder when s is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-13) + 0 + 2282*(19 + (-7920)\/416).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924 - 10870 = 674*u + 13818 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/254 and 113\/319022?\nAnswer: 40515794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.378565122 less than -590?\nAnswer: -590.378565122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - q - 8. Let o(b) = -3 - 4*b + 2*b + b. Let w(k) = -2*k - 4. What is q*o(a) + 3*w(a)?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.325 and 15.8141.\nAnswer: 5.1395825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17100053053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 4108.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**4 + 3700*u**3 + 2*u**2 + 31*u + 23 wrt u?\nAnswer: -24*u + 22200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -691, -2340, -5095, -8962, -13947, -20056, -27295?\n\"Answer: -r**3 - 547*r**2 - r - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c*v**2 - 10*c*v + 5*c + 4612*v**2 + 821*v wrt v?\nAnswer: -10*c + 9224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 50557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35064 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4118083 <= 4118103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10753487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*(sqrt(570)\/(-4*sqrt(360)))\/(sqrt(3) + -3*(sqrt(3) - sqrt(75) - sqrt(3)) - (sqrt(3) + sqrt(18)\/(sqrt(6)*2))))**2.\nAnswer: 475\/13456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -62*a - 6. Let c be u(-4). Suppose 2*d = -8, -2*d = -2*x + 2*d + c. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g**2 - 4*g + 2. Let l(o) = -7 - 11*o + 30*o**2 + 12 + 0. Let n(h) = -3*l(h) + 8*y(h). What is n(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvvvlvlvvavlvkvvkkk. What is prob of sequence al?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4322726.\nAnswer: 2, 17, 127139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1951, -3950, -5945, -7936, -9923, -11906?\n\"Answer: 2*o**2 - 2005*o + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4188.602 millilitres?\nAnswer: 4.188602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-13)\/(182\/(-189)))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 9*u - 9. Calculate q(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = -8. Solve f = 2*r - 0*r - u, -21 = -r - 4*u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**3 + 56*h**2 - 196*h = 0 for h.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2000 + -2001. Put -29, n, -4, 0 in decreasing order.\nAnswer: 0, n, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(2 - -2)*30\/600?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - 2*h + 2*h)*(73 + 0*h + 8*h - 74).\nAnswer: -8*h**4 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 540 - 546 = -2*b, -5*d + 12 = 4*b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/13)\/p)\/p**(1\/3))**(4\/41)*p*p**(-1\/9)\/p*p**(2\/13)*(p\/(p\/(p\/(p*p**(-2\/9)\/p))))\/(p*p*p\/p**(-3\/5)*p) assuming p is positive.\nAnswer: p**(-83471\/23985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*l - 14*l - 6523 = -10551 for l.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5787516 millilitres to litres.\nAnswer: 0.0005787516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/12 in -0.5, 4, 2\/7, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 684.6 + -684.3. Let v be -1 + -2 - (-1 - -5). Let r = 2 - 1.5. Which is the nearest to 1? (a) v (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/28)\/(2\/7)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -q + 7396, -7*q = 2*u - 12*q - 7384. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u = 5783 - 2363. Calculate the remainder when 1778 is divided by u.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 11:38 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1733895, 3467870, 5201923, 6936054, 8670263?\nAnswer: 10404550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 2\/3, -3, 3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -33\/8. Calculate the common denominator of -49\/10 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3 + 543*f**2*g + 6*f + 12*g + 2 wrt f.\nAnswer: -12*f + 1086*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0751 take away 216279371?\nAnswer: -216279370.9249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8781146 and 20?\nAnswer: 87811460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 36 - 36 + 41*f.\nAnswer: 41*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.3, 5\/7, -4 in descending order.\nAnswer: 5\/7, 2\/5, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/3)\/(2*-1*(-11)\/88)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 149*a**2 - 3*a + 18. Let b be l(3). Suppose 0 = -f + 211 - b. Let x = 4968 + f. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-12)\/3)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oookokokork. Give prob of picking 2 k and 2 o.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*o - 5. Suppose -3*b = f - 22, f - 2*f - o*b = -28. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221122 (base 6) to base 5.\nAnswer: 1042120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 30 + (-1 + -2 - 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**4\/24 + m**3\/3 - m**2. Suppose 0 = 4*c - w + 8, -3*w + 5*w - w = 0. Give l(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 20 = 0, 2*q - 4*z - 178 = -196 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 607856.7 millimeters?\nAnswer: 607856700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 71*j**3\/3 + j**2 + 80*j. Let a(c) = 2*c. Give a(i(p)).\nAnswer: 284*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-6)*180\/(-1350).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*z - 17*z + 21*z**2 as o + t*z**2 + s*z and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/66*-21 - (-73)\/(-10).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 30126.\nAnswer: 120504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17706646643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**6\/12 + 3*w**5\/10 - w**4\/8 - w**3\/2 + w**2\/2 + 5. Find k, given that t(k) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 4363893432933?\nAnswer: 4363893432936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 5. Let j be v(5). Let i(p) = -32*p + 64. Let c be i(2). Solve 0 = 2*t + 4*y + 9 - 3, c = -2*t + j*y + 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 - (-2 - (-1 + -4)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264 = 284*x - 153*x - 155*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*q - 121*q + 14 - 103*q + 431*q - 148*q to r*q + s and give r.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -30, 68, 25 in ascending order.\nAnswer: -30, -2\/17, 25, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 13) in base 14?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -164, -4 in decreasing order.\nAnswer: -3, -4, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 533656566 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3947*m*x**4 + 173*m*x + 2*m - 180445 with respect to x.\nAnswer: -15788*m*x**3 + 173*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -11) + 1 - (-3 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1319*d**2 - d - 2670*d**2 + d + 1181*d**2.\nAnswer: -170*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*j**3*q**2 + 36*j**3*q - 21*j**3 - 5*j wrt q.\nAnswer: 8*j**3*q + 36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -5*a + 4. Let w = a + 20. Suppose 2*v = -o + 12, 7*o + 12 = w*v + 3*o. Solve s + s - 20 = v*l, s + 3*l + 1 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**2 + 30591*m + 335978. What is b(-11)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -0.3, 4.\nAnswer: -0.3, -0.09, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102.9 + -102.9. Which is the nearest to i? (a) -2 (b) -4 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -6031.\nAnswer: -4\/6031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1103010 is divided by 2991.\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2830 is divided by 81.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - -6*-2*sqrt(363)) + sqrt(363) + sqrt(363) + (-4 + 1*sqrt(363) - sqrt(363) - sqrt(363)))**2 - (-5 + (-3*sqrt(18)*-2)\/sqrt(6)).\nAnswer: 874*sqrt(3) + 36321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 708 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -41341 (base 7) in base 9?\nAnswer: -14787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 16 = -y, 17*y = 22*y + 3*d - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*x - 374, -23*c = -22*c + 4*x - 128. Find the second derivative of c*d - 10*d + 155*d**5 - 15*d**5 - 24*d wrt d.\nAnswer: 2800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1094235?\nAnswer: 3, 5, 72949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 4*s**2 + 5*s**2)*(2*s**3 - 4*s**3 + s**3) + 1303*s**3 - 1303*s**3 - 81*s**5.\nAnswer: -80*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14236 - -20150. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 4*u - 54 + 29 + 6.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 822 + -792. What are the prime factors of (468\/a)\/((-1)\/(-90))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.006 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -31?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 7*m + 21. Let n be d(-9). Suppose -18 = 2*j + 4*p, 6*j - n*j + 7 = -2*p. Let t = 137\/3 + -45. What is the nearest to t in 4, -2\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 9:49 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + 0*p**2 - 5*p**2)*(0 + 1 + 2)*(0 - 5*p + 0).\nAnswer: 30*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1592, 0, 4, -4, -2, -47 in decreasing order.\nAnswer: 4, 3, 0, -2, -4, -47, -1592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**6)**(-7\/10))**(-14) assuming p is positive.\nAnswer: p**(343\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -247 + 245. Let j(u) = -3*u**3 - 8*u**2 - 9*u + 2. Let v be j(f). What is the greatest common divisor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9564484 or 9564485?\nAnswer: 9564485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 5:03 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16218723, 32437449, 48656175, 64874901?\nAnswer: 81093627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -11*w**2 - 11*w + 16. Let i(m) = 10*m**2 + 10*m - 15. Let o(l) = 6*i(l) + 5*p(l). Factor o(s).\nAnswer: 5*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/24 bigger than 84\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 5*x**2 + 94*x - 238. Determine g(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23, -0.05, -12, 0.2, 3, -0.5, -2\/7?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 6\/(30\/(-25)). What is the smallest value in 1, 1\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1210*x - 97999. Let k be r(-81). Let z = -1.5 + 1. Let n be -1 - 0 - (-46)\/42. Which is the smallest value? (a) z (b) k (c) n (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -361 - -798. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9032 - 9034. What is the fourth biggest value in d, -1\/24, -4, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3576 and 48.\nAnswer: 7152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9729 (b) -7\/8 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166 - 120 - 18\/(-9).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/540 and -1\/864?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - z**2 - 1. Let u be (4 + -8 - -2) + (-4)\/(-1). Let j(r) = 12*r**3 + 12*r**2 + 11. Determine u*j(v) + 22*y(v).\nAnswer: 2*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 2*h + 2*h)*(-h**2 + 0*h**2 + 0*h**2) - 22093611*h**2 + 31505*h**3 + 22093611*h**2 in the form q + k*h + t*h**2 + y*h**3 and give y.\nAnswer: 31503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 11*j + 14*j, -3*s = j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 536, 27 in descending order.\nAnswer: 536, 27, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 13. Suppose -w - 1365 = -l - 4*l, -3*l + 831 = -3*w. Suppose 21*x + l = 55*x. Calculate d(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 43 = 87. Let p(u) = 4*u**2 - 30*u - 5. Let q be p(v). Let y = -727 + q. Is y a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 24221a?\nAnswer: -242214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3133 (base 4) to base 2\nAnswer: 11011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 542175 and 1200.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 7*r**2 + 8*r + 3. Let k be i(-6). Let d = k - -16. Let n = 22 - d. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g - 6 + 6 + (g + 3*g - 2*g)*(-2 - 1 + 2) - g + 3*g + 0*g)*(4*g - g - 2*g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1104 - 4413 + 1111 + 1109 + 1110 + 89*r as d*r + o and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 - 129*l - 6882 = 0. Calculate l.\nAnswer: -31, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(54)\/sqrt(2))\/(sqrt(9) - sqrt(36)\/sqrt(4)*-4).\nAnswer: -3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 6*w**2 - 36*w + 216. Calculate n(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 3*t - 2. Calculate x(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2\/14 + (-2200)\/(-1260).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from joduuj. What is prob of picking 1 j, 1 u, and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -12*m + 41. What is p(11)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, -1, 200?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/v**(1\/2)))*v)**(9\/10)\/(v**(-8)*v)**(-25) assuming v is positive.\nAnswer: v**(-3473\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12838*g**5*t - 38*g**5 - 51*g*t + 49*t + 2774 wrt g?\nAnswer: 256760*g**3*t - 760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -47.000108. Round g to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/217 and 327\/(-18) - (12 + -4 + -3)?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from flyf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.46 in -2, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59303511 to the nearest integer?\nAnswer: 7701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 6. Let d be ((-1)\/3)\/(k\/(-18)). Find the third derivative of d*w**5 + w**2 + 1 - 1 wrt w.\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, -0.3, 2\/9, -8\/3, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06807 to three dps.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 11*k - 16. Let d be i(-13). Suppose 23 = d*f - 7. Solve 4*l - o - 2 = 0, -2*l - f*o + o = -6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*y - 80, 2*u = -4*y + 6*u - 64. What are the prime factors of (-5262)\/y - (1 - (-9)\/(-8))?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-640)\/18 - 330\/(-693)*(-406)\/435?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -1\/6*a**5 - 7\/6*a**4 + 6 - 34\/3*a + 19\/6*a**2 + 7\/2*a**3 = 0.\nAnswer: -9, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43624 to the power of 1\/2, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n. Let d(m) = 23*m. Let j(u) = -3969*u - 63. Let h(i) = 248*i + 4. Let r(p) = -63*h(p) - 4*j(p). Let s(v) = -54*d(v) + 5*r(v). Give s(l(q)).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -634*y**5 - 2542*y.\nAnswer: -12680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - c**2 + c. Let x be n(1). Suppose 0 = g - x - 3. Let z(u) = u**3 - 5*u**2 + 5*u - 5. What is z(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 1:18 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/810?\nAnswer: 1\/810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 2, x: 1, f: 4, g: 1}. What is prob of sequence yg?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57 or 34?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -143, -12, 0.29 in decreasing order.\nAnswer: 0.29, -12, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m = -k - 30*m - 4, -6*k - 3*m = -9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 2*n**2 - 2*n**2)*(0*n**2 + 2*n**2 + 0*n**2)*(2 - n - 2).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -294*p + 301*p - 56. Find the first derivative of -8 - 50 - 18*v - 15 + p*v wrt v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + w**2 + w + 1. Suppose 4*r - 7 - 5 = 0. Let z = r - 5. Calculate the least common multiple of 5 and s(z).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 544 = -176. Let d(r) = 2*r**2 - 74*r + 77. Let h be d(z). Solve 0 = h*u + 10 + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 231092411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, z: 5, s: 3, d: 1}. Give prob of sequence zzp.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, x: 6, k: 1, d: 1}. Give prob of sequence xk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24183524?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 87 = 4*y - 3*y, 0 = -4*y - 4. Solve 0 = -a - 3, 4*a = 4*n - g - 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1417.77 * 5.6\nAnswer: 7939.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -10 and 2179277 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 14*n**2 - 207*n + 23. Calculate v(-23).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 35 = 5*m, -237*q + 240*q + 15 = 0. Is m >= -104\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + 3*i + i)*(2*i - 2*i + 2*i**2)*(1 - 5 - 3)*(-369*i + 74*i - 296*i - 70*i) as c*i**2 + u*i**3 + x + k*i + o*i**4 and give o.\nAnswer: 27762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, p: 1, b: 1, m: 1, l: 3, d: 6}. Give prob of picking 1 p and 3 l.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*b + 171*b + 3*b**3 - b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1000110110110111 (base 2) to base 4\nAnswer: -20312313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10108 + -10109. Let i = -3.98 + -0.02. Which is the closest to s? (a) i (b) -2\/13 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 13*u**2 + 31*u + 10. Let q(m) = 6*m - 248. Let b be q(44). What is the tens digit of y(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-100912)\/(-21))\/(-34))\/((-4)\/6). What is the highest common divisor of t and 22684?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65 + 114 - 34) + 59?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p = 20*p - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272))**2 + -2 + -1.\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*sqrt(192) + sqrt(3).\nAnswer: 2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*d = -15, 3*v + d + 0*d = 9. Let r be 7 - (2 + -3 + v). Solve 0 = -z - 2*m + 6, 2*m - 30 = r*z - 3*m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-2))\/((-33)\/(2871\/(-29)))?\nAnswer: -75\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 2*i**2 - 3*i - 2. Let x = 22 + -37. Let r be ((-1)\/(-1))\/(x\/30). Give f(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7)*h)**29\/(h\/(h*h**0))**(3\/5)*((h**(-1\/2)*h)**(-48))**(-10\/9) assuming h is positive.\nAnswer: h**(1343\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4221.5 * 8\nAnswer: 33772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - (sqrt(21) - (sqrt(21) + -2*sqrt(21)*2) - sqrt(21)))\/(-4*(sqrt(7) + sqrt(28) + sqrt(7))).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2835, 11333, 25503, 45351, 70883, 102105?\nAnswer: 139023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13166 and 51302.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*(-34)\/(-357))\/((-2)\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -205*r**2 + 6*r - 2. Let a(o) = -2975*o. Determine a(p(l)).\nAnswer: 609875*l**2 - 17850*l + 5950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 7\/(21\/(-6)). Suppose -x*s + 4*y = -69, -s + 6*s - y - 115 = 0. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0501 - -4?\nAnswer: 3.9499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10951 and 1.4882.\nAnswer: -16297.2782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2980792.\nAnswer: 2, 409, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2689.026953 and 14?\nAnswer: 2675.026953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1325 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*n**3 + 33*n**3 - 64*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -754, -6215, -21038, -49903, -97490?\n\"Answer: -780*u**3 - u**2 + 2*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76340049.\nAnswer: 3, 25446683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1212316\/97398 - 12) + 8\/(-18). Are f and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 - (1 - (83 - 7)).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 22 + (-106 - -72).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1814.\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -26437*l - 105725. Determine p(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 185 by 5.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 12. Suppose -3*a + 6*a + k + 20 = t, -5*a - 4*k = 24. Let q(d) = -4*d - 5. What are the prime factors of q(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in minutes?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((1 - -2) + -2)*1. Let z be 1 - (-2 + (s - -9)). Let a = 12 + z. Solve 0*d - a = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 43192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x + 5*y + 20, 2*x = 3*y - 4. What is the smallest value in x, -1, -3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:32 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -0*q - 192. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-47027)\/(-123) - -1*(-2)\/(-3). Let k = b + -69. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d - 5. Let i(m) = m**3 - 8*m**2 + 8*m - 3. Suppose 5*j + 9 = 29. Suppose 3*t - t - j*n - 18 = 0, -6 = -t - n. Let p be i(t). Calculate l(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 5. Suppose -3*z = -6*z + 309. Let a = -103 + z. Solve a = -s - d - m, 5*s + d = s - 24 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1872) + (sqrt(1872) - (sqrt(1872)*1 - sqrt(1872) - sqrt(1872))) + -4)*-2*6 + -5)**2*2*-3 + 0.\nAnswer: -14565798 + 202176*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**24*z))**48\/((z**(4\/23)*z)\/(z**(15\/8)*z)) assuming z is positive.\nAnswer: z**(-211655\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 4*d**2 - 4*d + 3. Let j be r(-3). Solve 0 = f - 3*f + j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15286.\nAnswer: 2, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.107 + 14.507. Round h to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*z - 2*z**2 - 4*z - 9 + 6 as p*z**2 + r*z + x and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1398 - 1427.52. Let g = -0.48 + t. Let p = g + 30.019. Round p to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57583 is divided by 165?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2961029.637 plus -0.2?\nAnswer: -2961029.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/10024146 - 22034929231\/3341382. Let f = s - -6602. What is the common denominator of f and 65\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90761833 is divided by 5417?\nAnswer: 5415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 11*p**2 - 2*p + 1. Calculate the remainder when 39 is divided by r(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 696451 (base 12) to base 4\nAnswer: 12130233331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 172 - 160.89. Let y = 1.11 - o. Let w = -0.8 - -1. Is y less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-3*1\/8). Let p(t) = -t**3 + 4*t**2 + 7*t - 14. Let z be p(5). Which is the second biggest value? (a) -1 (b) z (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + l = -8. Suppose l*f = -0*f + 132. Let s(m) = 10*m + 2. Let t be s(2). Calculate the highest common factor of f and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 - 8) + 2\/3. Which is the closest to v? (a) 5 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -207, -195, -161, -93, 21, 193?\n\"Answer: 2*q**3 - q**2 + q - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tiujtrd. Give prob of sequence trdi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 3. Let f be b(-5). Let r = f + 48. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98\/205 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*m**2 + 36*m**2 + 24*m**2)*(0 + 0 + m).\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*v**3 + 120*v**2 + 532*v + 784 = 0. Calculate v.\nAnswer: -14\/3, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 97.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/2))**(13\/6)\/((l\/(l**12*l))\/(l\/(l**(2\/9)\/l)*l)))**(-32) assuming l is positive.\nAnswer: l**(-3320\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/14301 and 45\/5902?\nAnswer: 371826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*h**2*v**3 + 6*h**2*v**2 + 3825*h**2*v + 60*h**2 - 227272*h*v**6 wrt v?\nAnswer: -48*h**2 - 27272640*h*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**4 + x**2 + 3 - 7 + x**2 to the form b + j*x**3 + o*x + s*x**4 + f*x**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*g - 32 = 0, 3*h + 0*g = -2*g + 19. Solve 0 = -3*z - h, -3*s - 3*z = -14 + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -182 + 10073?\nAnswer: 9891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 0.5 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37881 is divided by 611.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667407 a multiple of 760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 - 4954*k\/5 + 600808.\nAnswer: 2*(k - 1417)*(k - 1060)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 2. Suppose 10*v - 28 - 22 = 0. What is w(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 8*x**2 - 2*x - 7. Determine h(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 - 78. Let i be (5 - 7)*(3\/s)\/(-3). Let x(p) = p - 1 + 0 + i. Let j(l) = 7*l. Calculate j(x(a)).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -507 - -509. Factor 10*i - 2*i**2 + 2*i**3 - 4*i**2 - 4 - 2*i**o.\nAnswer: 2*(i - 2)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**6\/60 - q**5\/40 - q**4\/12 + 4*q + 6. Let r(b) be the first derivative of h(b). Suppose r(u) = 0. What is u?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.682 + -0.318. Let n = 0.27 + -18.27. Let z = n - -23. Which is the closest to 1? (a) 22 (b) l (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - 5*w - 5. Let k be q(5). Calculate the highest common factor of 18 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*(197 + -8 + 1 + 1). Suppose -28*v + 33*v = w. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 22. Let y(h) be the first derivative of 0*h**3 + 37 + h**3 + 57. Determine i(y(t)).\nAnswer: 3*t**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 97169 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - 0.13. Is w at least as big as 2.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*d - 1, 14 = 2*d + 3*x + 1. Suppose -10 = -3*k - d*k. Suppose 18 = k*n - o, 39 + 6 = 5*n + 5*o. 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 the units digit of 46036072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/(-20))\/(15\/(-54) + (-4)\/18). Solve -g*u = -3*x + 15, 3*x - 7*x = u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {b: 2, h: 1, x: 4, s: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16, 3, -20, -59, -120?\n\"Answer: -w**3 + w**2 - 9*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 827354*c**3\/3 + 8825108*c**2 + 70600832*c - 1024\/3.\nAnswer: 2*(c + 16)**2*(413677*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(6 + -9) - 3. Let j be 132\/(-15)*(-3 - k). Which is bigger: j or -131\/3?\nAnswer: -131\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {e: 1, v: 11, u: 1}.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1\/8 (c) 114 (d) -3 (e) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 570*q - 104*q + 300*q + (-16 + 3 + 5 + (-2 + 0 + 0)*(-7 + 3 + 3)*(-4 + 1 + 1))*(5 - 5 - q) to the form d + f*q and give f.\nAnswer: 778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -401, -391, -381, -371, -361?\n\"Answer: 10*a - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + 18. Suppose -3*u + 5*b = -2*u - a, 5*u - 147 = 3*b. Suppose u - 111 = -4*x. What is the highest common divisor of 63 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3227585153.\nAnswer: 13, 2087, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2.9. Let g = 0.5 - 0.8. Let z = g + a. What is the smallest value in z, 0.2, -1\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/r)**(-19)*r**(2\/5)*r*r\/r**6)**(-1\/21) assuming r is positive.\nAnswer: r**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8894 (base 10) in base 11?\nAnswer: 6756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -10. Suppose -110 = -o*g - 5*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.776 * 682.\nAnswer: -1211.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -131\/2. Find the common denominator of m and -4\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 6. Let l(b) = -744*b**3 - 2604*b - 15624. Give 2*l(k) + 5208*r(k).\nAnswer: -1488*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 10 = -4*l, 2*l = -g + l - 2. Let q be -1 - 0\/g - -1954 - -1. Suppose -4*c + 178 = -q. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12787461?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039366 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Let n(q) = 4*q - 4*q + 2*q**p. Let c(x) be the second derivative of 2*x**3\/3 + 2*x. Calculate c(n(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + 2 - sqrt(1584))*1 + (sqrt(1584) - (2*sqrt(1584) + sqrt(1584)))*4 + sqrt(1584))**2 + 4.\nAnswer: -336*sqrt(11) + 77624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 3. Let z be m(-3). Let d(v) = -516*v + 27. Let u(n) = -1239*n + 68. Let p(j) = -12*d(j) + 5*u(j). Let s(h) = h - 5. Determine z*p(t) - 8*s(t).\nAnswer: t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*b**2*h + 5463782*b**2 - 26549*b*h + 2*b - 974 wrt b?\nAnswer: 46*h + 10927564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1863.874 - -2.084751\nAnswer: 1865.958751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -297 + 535. Calculate the remainder when b is divided by 120.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p**2 + 4*p + 4. Let n be 36\/27 - 16\/3. Let a(o) = -4*o**2 + 3*o + 3. What is n*a(r) + 3*t(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1085935927471 less than 3?\nAnswer: 1085935927474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -76, -81, -88?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or -0.108105232?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 1:38 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/3)\/((-8)\/35 - 20\/(-210)). Solve -3*c + 5*c - 3 = d*j, c = -5*j + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 86, 87, 80, 59, 18, -49, -148, -285?\n\"Answer: -u**3 + 2*u**2 + 2*u + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18609023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1493 divided by -1493\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 5 - 3*z**3 - 12 + 5*z**3 - 18 - z**2 - 3*z**3 to the form o + v*z**3 + c*z + s*z**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 12648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 12) to base 2.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-84)\/180*(399\/196)\/(1\/8).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8000 and 875.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 2. What are the prime factors of 10\/15*(-15)\/t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9*x**3 - 7*x**2 - 5*x - 40. Let y(b) = -5*b**3 - 4*b**2 - 3*b - 22. Let p(i) = -6*d(i) + 11*y(i). Determine p(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52800*w**2 - 52589 with respect to w.\nAnswer: 105600*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.632 - -0.148. Let m = z - 2.78149. Round m to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**3 + 2*x**3 - 25*x**3)*(3*x - 4*x + 0*x + (x - x + x)*(3 + 1 - 2) + 1 - 1 + 3*x) in the form t + s*x**3 + h*x + d*x**4 + a*x**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1696)\/(3*(-6)\/153). Suppose 3*f + 5*f = -g. Is f\/3*24\/(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-294)\/56)\/(15\/(-20)) - 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011010011001 (base 2) in base 16?\nAnswer: -4699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1255309, -1255320, -1255331, -1255342, -1255353, -1255364?\nAnswer: -1255375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t + 0 = 5*t - 210. Sort -2, 3, 4, t, -53 in ascending order.\nAnswer: -53, t, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llloupllp. What is prob of picking 1 l and 2 p?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 581318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 211 - 144. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 4:21 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**3\/5 + 84*g**2\/5 + 369*g + 3362\/5 = 0.\nAnswer: -41, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 11366000 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6218174 rounded to three dps?\nAnswer: -0.622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {t: 5, e: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5))**(-18)*(g*g\/(g*g*g*g**0*g*g*g)*g)**(-40) assuming g is positive.\nAnswer: g**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 6 - 4 - 140*l**2 + 26*l**3.\nAnswer: 26*l**3 - 140*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -5\/6 (c) 12 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -42. Let h = 0.033 - -29.967. Let t = x + h. Which is the smallest value? (a) t (b) 4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1166 (base 7) to base 2.\nAnswer: -110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*b + 16 = 156*b. Suppose -n - 5*w + 2*w + 319 = 0, 0 = b*n + 5*w - 639. What are the prime factors of n?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c + 2*j = -98, 2*j + 34 = c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230013443, -230013452, -230013475, -230013518, -230013587, -230013688?\nAnswer: -230013827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -703394 and 0.3.\nAnswer: -211018.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/6 and 5\/5282 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3347 * 6160\nAnswer: -20617520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = -7*w + 2101. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1473062255?\nAnswer: 5, 7, 23, 73, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*k - 17585 - 61*k + 11*k + 17586 to the form x*k + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36937*z - 55407.\nAnswer: -36937","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7792, 15599, 23406, 31213, 39020?\nAnswer: 46827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21780 divided by -165?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 + 11*p**2 + 20*p - 29. Let o be b(7). Is 1 + 15\/(-12) + (-37557)\/o a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14614*t - 8957. Is f(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 12. Let s(o) = -o + 5. Let v be s(m). Let c be 20*((-38)\/(-10) + v). Calculate the greatest common divisor of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 1. Let k(s) = 30 + 3*s**2 + 3*s**2 - 12*s**4 - 5*s**4 - 7*s**4. Let o(h) = -k(h) - 6*w(h). Find the first derivative of o(f) wrt f.\nAnswer: 96*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/798*(-5)\/(-20)*16\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1256, 5027, 11312, 20111, 31424?\n\"Answer: 1257*b**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 1203259?\nAnswer: -20\/1203259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. What is the second derivative of 4*t**2 + 2*t + 0*t - 5*t**g wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10739190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 2*x + 4, -4*r = -5*x - 0*x - 10. Suppose r*b = b - 40. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 208*l + 47 = -201*l, 2*o + 5*l - 37 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41824746?\nAnswer: 2, 3, 59, 39383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/2 - 14847\/(-49)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87.0057 + -87. Round c to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)\/(sqrt(55)\/sqrt(5)))\/((sqrt(165)\/sqrt(3))\/sqrt(5)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -21, -4, 0.1, 2, -155?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -8*h + 12*h + 8, -3*l - 11 = h. Put l, -28, 2, -2 in descending order.\nAnswer: 2, -2, l, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 350391444*q + 30693541007101284.\nAnswer: (q - 175195722)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/2 of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5\/2 - h**4 + h**3\/2 + h**2 = 0. Calculate h.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 149665628 to the power of 1\/3, to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4*x + 15 + 1, -3*k + 2*x + 14 = 0. Suppose 205 = k*y - y. Let n = -24 + y. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-2 + (-400)\/(-15)). Let k = x + 194. What is the highest common divisor of 24 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*a - 59 - 1 = 0, 0 = 2*z - a - 15. Calculate the remainder when 38 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-4 - (-2 + -4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 19*p**2 - 34*p - 387. Determine a(-10).\nAnswer: 1853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 80.7. Let c = -9494619.299919 - -9494627. Let o = f - c. What is o rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -2087*r**4\/2 + 2*r**3\/3 - 6111*r**2\/2 + 1623. Find the second derivative of j(w) wrt w.\nAnswer: -25044*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from oouppofoupuufoupupu?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4154, -8268, -12364, -16436, -20478?\n\"Answer: l**3 + 3*l**2 - 4130*l - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*t = -3*s + 6216 - 5390, -s + 3*t = -14 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 2*t**2 - 4*t - 1331. What is i(-6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 8 = 4*h, 2*h = -h - 2*f - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l + 105*l**2 + 2324679*l**4 - 4 - 5*l - 2324680*l**4 to k*l**4 + y*l + r*l**3 + j + i*l**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 7:17 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000062785 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -25\/3*v - 130\/3*v**2 - 1\/3*v**5 + 125\/3 + 5\/3*v**4 + 26\/3*v**3 = 0.\nAnswer: -5, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141932695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.919 + 10.99. What is b rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 7) in base 3?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 7, o: 2, e: 1, m: 3}. Give prob of sequence dq.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -5*l**6\/12 - 19*l**5\/10 + 9*l**4\/8 + 19*l**3\/6 - l**2 + 108. Let w(b) = 0. Calculate b.\nAnswer: -4, -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2354 (base 9) to base 12\nAnswer: 101a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (75 - 34 - 39)*(-1 + 2 - 2)*(-2*v**3 - v**2 + v**2) to l*v**2 + j*v**3 + t*v + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) 25.07 (b) 14\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 6*l - 5. Let f = 17 - 3. Calculate the smallest common multiple of k(-7) and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqgwqwqmq. What is prob of picking 1 w and 2 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 11) to base 9\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5767 is divided by 303?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 - 3*h. Let s be x(2). Does 14 = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -j - 2*w - 4, 0 = -j - 2*w - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35012360 to the nearest integer?\nAnswer: 5917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2533611 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 158503191 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**17*r*r)\/r*r**(-12\/11))\/((r\/(r\/(r**(3\/2)\/r)*r*r*r))\/r**(-7\/3)) assuming r is positive.\nAnswer: r**(1127\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 d when four letters picked without replacement from {p: 1, j: 3, d: 3, w: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**4 + 10*u**3 - 8*u**2 - 350. Let j(q) = q**2. Let t(n) = -5*j(n) - x(n). Find the third derivative of t(l) wrt l.\nAnswer: -96*l - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-21))\/(1\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15784\/13 + 1213. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3305 (base 8) to base 15\nAnswer: 7a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 831*h**3 - h**2 + 1. Let y be u(1). Suppose -4*p + y = 3*m, 5*p + 3*m = 1073 - 38. What are the prime factors of p?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*z + 60 = -38*z. Calculate the lowest common multiple of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23652 = -17*n - n. Let v(z) = -z**3 + 22*z**2 - 18*z - 45. Let a be v(21). Calculate the greatest common divisor of a and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1431986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 642\/22 + (-2)\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**6\/36 + b**5\/30 + b**3\/6 + 2*b. Let r(u) be the second derivative of s(u). Factor r(w).\nAnswer: 2*w*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273.689 rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10102112122 (base 3) to base 15\nAnswer: -14ec8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-202 - -200)*17\/2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3584, -32, -4 in descending order.\nAnswer: 3584, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 619715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-14))\/((-198)\/(-22))*((-1232)\/165)\/(-16).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 34*f**2 - 58*f - 187. Calculate the remainder when 150 is divided by q(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -110.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56836, 56753, 56618, 56431, 56192, 55901, 55558?\nAnswer: 55163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 301.33 and -3537.\nAnswer: -3235.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6589?\nAnswer: 11, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 1\/105*r**7 + 0*r**4 + 0*r + 0*r**3 + 1\/30*r**5 - r**2 + 0 + 1\/30*r**6. Factor k(o).\nAnswer: 2*o**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4867514 is divided by 3517?\nAnswer: 3503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*l - 7. Suppose -6*g + 10 = -g. What are the prime factors of (-2)\/(g\/(-15)) - l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 4:19 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/3 + -1. Let z = -1954\/5 + 21499\/55. What is the nearest to 1\/3 in d, 1.8, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3258 + 7.8073\nAnswer: 3265.8073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 21*m**2 + 4*m + 86. Let u be v(-21). Let b(h) be the first derivative of 0*h + 2\/9*h**u + 3 + 2\/27*h**3. Find f, given that b(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5461 and 8.\nAnswer: -43688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183036 = 2*f + 2*n, 25*n + 12 = 28*n. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 7*g - 2*d = 1342, 0 = -2*g - 3*d + 1327. Let x = g + -659. Solve -o = -3*r - 19, 4*o - 2*r + x = -7*r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 319*h + 1312*h**2 + 124*h**2 + 839*h**4 + 1677*h**2 - 319*h + 3*h**3 wrt h?\nAnswer: 20136*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2384238353.\nAnswer: 7, 4391, 77569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140.2 - 43.5. Let m = q + 184. Which is the third biggest value? (a) m (b) -0.4 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + 1)*(-8)\/((-192)\/402). Let h(t) = -x*t + 124*t - 66*t. Let w(y) = 17*y. What is w(h(a))?\nAnswer: -153*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*v + 349*v**2 - 634*v**2 + 6*v + 343*v**2 as o + y*v**2 + h*v and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -159*m**4 + 25*m**4 - 79*m**4 + (-m**3 - 2*m + 2*m)*(4*m - m - 5*m).\nAnswer: -211*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -53, -43, -11, 49, 143?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*z = -184*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -397435 + 0.1\nAnswer: -397434.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/55*1)\/((-582)\/(-1455))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/150*16\/2*8862\/(-844).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 = 4*k, 2*d + 5*k - 1 = -d. Suppose d*c + 4*b + 8 = -c, -4*c = -2*b - 26. Solve c*z - 27 = -11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 22*r - 2128. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 s when four letters picked without replacement from {s: 5, r: 4, g: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 1.2 (c) -40 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005904 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3001 and 5.\nAnswer: 15005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttn when three letters picked without replacement from nnnttntntttnrt?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + (-3 - -24 - 22) + -1 + -5 + 13.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -362.5 or -1?\nAnswer: -362.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -245*v**2 - 6. Let m be p(-3). Let w = m + 3711. What is w rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 8 - 113 + 97 = -v, 5*s = -4*v + 107 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-215728)\/388*(90\/(-40))\/(-9)\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**2 + 3. Let c(l) = 5*l**2 + 4. Let v = -18 - -27. Suppose -3*z + 0 + v = 0. Let i(x) = z*c(x) - 4*t(x). Let o(k) = 2*k. Calculate o(i(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -6 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -5 + (4 - -1) - (-5 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 - 19.2416.\nAnswer: 87.7584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(80) - sqrt(80)) + sqrt(80))\/sqrt(4))\/(-6*sqrt(36)).\nAnswer: sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -15*v - 212 + 118, 0 = 5*v - 2*i + 42 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 51*s + 8*s)*(4*s + 0*s - 3*s + 3).\nAnswer: -41*s**2 - 123*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -2, -3, 13.\nAnswer: -3, -2, 0, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 494 by 12.\nAnswer: 247\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one eighths of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - 7*c**2 - c**2 + 7*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 630*z**3 - 1148*z**2 - 112*z - 112. Let i(c) = -28*c**3 + 51*c**2 + 5*c + 5. Let h(y) = 112*i(y) + 5*l(y). Find the third derivative of h(k) wrt k.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/1*1\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, p: 8, c: 2, y: 7}. Give prob of sequence pcp.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:57 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*16\/(-8)*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1100010001011000000 (base 2) to base 10\nAnswer: -402112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4820230 is divided by 145?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -22 - (-28 + 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*((sqrt(396) - 6*(sqrt(396) + 1) - ((1 + sqrt(396) + -2)**2 + sqrt(396))) + -1))*2.\nAnswer: -4036 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -252045, -252009, -251973?\n\"Answer: 36*h - 252081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 12 + 6. Suppose y - 6 = 3*j. Is -20 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 608.755 days in milliseconds?\nAnswer: 52596432000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = n - 5, -5*n = -2*v - 1. Calculate the remainder when 48\/(-48) + (15 - (4 + -2)) is divided by (n*6)\/((-30)\/(-20)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28003\/(-24)*(-3)\/11. Let m = -3444\/11 + z. Calculate the common denominator of (-220)\/24 + 4 - 1 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(sqrt(98) + sqrt(98)*-1)*-2 + (-3*(sqrt(98) + 1 + -5))**2 + 0.\nAnswer: -504*sqrt(2) + 1021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 5. Let f be v(7). Suppose -f*z - 3 = 1. What is the units digit of z + 2 + (-20)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*v**3 + 3*v**4 + 54*v**3 + (6*v**2 - 7*v**2 - 6*v**2)*(12 - 12 - 16*v**2).\nAnswer: 115*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from {o: 15, a: 3}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 10:22 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**2 + 492*c + 968 = 0. What is c?\nAnswer: -121, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = d + 17, -5*y + 11 = -3*d - 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2) + (sqrt(2) - sqrt(20)\/sqrt(10)*2) + sqrt(2)))**2 - 4*sqrt(14)\/(sqrt(7) - 3*sqrt(7)).\nAnswer: 2*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (217\/196 + -1)\/((-9)\/(-12))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(6) + sqrt(6)*1)*-4.\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 3*z - 419 = 18*v, 4*v = -5*z + 1642. What are the prime factors of v?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27672 - 10824. Is 36 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7*u = -5. Let i(o) = 130001*o**2 + o. Let t be i(u). Round t to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.4 and -19919.1147931.\nAnswer: -19916.7147931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f - 28. Let t be z(-4). Let l(y) = y**2 + 1. Let q be l(2). Which is the biggest value? (a) 0.1 (b) q (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*p = -80727 - 18493, 79364 = 4*a + 2*p. List the prime factors of a.\nAnswer: 2, 7, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -61\/2541259?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arqcqzai. Give prob of picking 2 a and 1 r.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21044341 (base 5) in base 11?\nAnswer: 10a505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k - 16 = -34*k. Suppose k*q - 20 = 0, -6*q + 202 = 3*v - 4*q. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -41*q**2 + 10*q + 10. Let p(y) = 14*y**2 - 3*y - 3. Let n(v) = -10*p(v) - 3*s(v). Let h(d) = -2*d**2. Give n(h(j)).\nAnswer: -68*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-15)*d**(3\/4) assuming d is positive.\nAnswer: d**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -28429?\nAnswer: 22743.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = -0*z. Suppose z = -2*j + 5. Let b(r) = r + 2. Let c be b(-2). Solve c = -2*a + j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 335 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0, -4, -23\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4890*l - 18. Let s be f(-5). Let c = s + 880787\/36. Find the common denominator of 113\/12 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2083365082?\nAnswer: 2, 139, 7494119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 17. Calculate the least common multiple of (1 + 0 - (-212)\/(-53))\/(3\/(-19)) and j.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(57)\/sqrt(3)*1 + (-1 + sqrt(2299) + sqrt(2299) + -1 - sqrt(2299))**2.\nAnswer: -42*sqrt(19) + 2303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - 126ab?\nAnswer: -126c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 170036759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 942 = -2*y + 2*a, -5*a - 928 = -2*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 674723?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/5)*g**(7\/3)*g)**(-1\/49))**(-31))**(-36) assuming g is positive.\nAnswer: g**(-19716\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1052, 1093, 1134, 1175, 1216, 1257?\n\"Answer: 41*r + 1011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 20 - 8, 5*p - 343 = -2*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4. Suppose u = -6*j - 5 + 47. Sort -2, j, 2.\nAnswer: -2, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 22, 1, 6, -2, -17, -454 in ascending order.\nAnswer: -454, -17, -2, 1, 4, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1642, -5895, -12982, -22903, -35658?\nAnswer: -51247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/24*-10*3 - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from oxixibfbxwowxofw.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 6 + (-5 - (17 + -19)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 220 - 447 + 5*c**2 + 239. Let g(r) = -7*r**2. Calculate y(g(m)).\nAnswer: 147*m**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/13, -7\/3, 26756\/39, -4, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by 41\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b. Let q = -37 + 47. Let y(x) = q*x - 16*x - 10*x - 18*x. Determine y(j(p)).\nAnswer: 68*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -14. Let t = 12.8 + r. Which is the closest to -1? (a) t (b) 2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 22 + 23 = 0. Suppose 3*u = 2*i - 140, k*u - u + 70 = i. Calculate the least common multiple of i and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 5)*(1 + z - 1) + 2*z - 4*z + 4*z - 2*z - 2*z + 3*z)*(-56 + 56 - 109*z**2)*(-8*z**2 - 7*z**2 + 4*z**2).\nAnswer: 3597*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -44985520.493 + 0.3?\nAnswer: -44985520.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/20*-5*3. Suppose 11*q - 784 = z*q. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3399 * -3.\nAnswer: 10197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 525 and 1827.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1104 and 6164.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2389.\nAnswer: 2\/2389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(45\/(-6))*-35. Let f = 20 - z. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 217 = -3*w - 10, -u + 126 = 2*w. Let b be 1\/((-1)\/2)*w\/(-26). Let y(i) = 8*i**2 - 13*i + 7. Is y(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -123626, -58\/43?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36764 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w. Let i(v) = -371*v - 14842. What is k(i(n))?\nAnswer: -742*n - 29684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69985 + 69547 = 22*n - 4*o, 2*o - 10 = 0 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 31 = -3*u. Let x = -19 - u. Suppose 3*k + 90 = t, 7*t - 106 = 6*t - 5*k. What is the greatest common factor of t and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4192804 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 2. Suppose -2*t + 25 = 3*o, t = o + o - 5. Suppose 2 = -t*n + 4*n. Which is the smallest value? (a) n (b) 3\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208264 is divided by 621?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 0*l + 0*l**2 - 29\/3*l**3 + 0*l**4 + 12\/5*l**5 + 32. What is the third derivative of m(y) wrt y?\nAnswer: 288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 9*u. Let y be (-306)\/(-408)*(-4 - u)*-1. Let z(l) be the third derivative of -l**4\/12 - 2*l**3\/3 + 23*l**2. What is z(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from svnvccnscc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2591 - 259. List the prime factors of z.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12001100 - -21221100?\nAnswer: 2220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37094147\/62 - -598274. Let w = -6\/31 - x. Let g = -2682 + 53659\/20. Calculate the common denominator of g and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 161*f**2 - 69 + 69 - 79*f**5 wrt f?\nAnswer: -4740*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 9756692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 273\/143*(-154)\/(-42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1371*b + 2*b**4 - 1371*b + 1 + b**2 to o + r*b**2 + c*b**3 + f*b**4 + q*b and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*h**2 + 19*h**2 - 16*h**2 + 15*h**2 - 29*h**2.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 16369, -7 in increasing order.\nAnswer: -7, 3, 16369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 8*t**2 - 11*t + 14. Let k be x(10). Is -3 - k*2*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 44*z = 13*z + 7172. Sort 1, z, 12 in descending order.\nAnswer: 12, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7429 + 7436. Calculate the highest common divisor of 581 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o**2. Let p(z) be the third derivative of 0 + 0*z - 1\/8*z**4 + 0*z**3 + 14*z**2. What is w(p(l))?\nAnswer: -54*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2804 - 2769. What is the smallest common multiple of i and 126?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**1*u)**(4\/7)*u**2*u**(-2)*u assuming u is positive.\nAnswer: u**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*a = 43*a - 105. Suppose -4 + 7 = -q. Calculate the remainder when 86 is divided by q - 6\/a - (1 - 46).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-34)\/(-4))\/((-5)\/(-10)). Let f be (g + 0)*(4 - 2). Let p(b) = -b**2 - 10*b - 11. Let j be p(-8). Solve -3*d - 3 = 4*n, -3*n + j*d + f = -0*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189199 is divided by 1590.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/3 = 820824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 3*s**2 + 2*s + 3. Let m(b) = -b**3 + 4*b**2 + 1. Let c be m(2). Let h be (-2)\/c - 16\/9. List the prime factors of i(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190, 5, -2, -19, -4, 2, 46.\nAnswer: -190, -19, -4, -2, 2, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -12*x + 13. Is a(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 = -21*y + 125 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 21. Let p(y) = 1. Let s(v) = -3*p(v) + t(v). Let d be s(-23). Let c = 2.6 - 16.6. Is c < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 76.2. What is the nearest to -1 in 4, -5\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4250, 4248, 4246, 4244, 4242, 4240?\nAnswer: 4238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 12*p**2 - 7*p + 33. Let f be w(-11). What is the biggest value in -3, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = 2. Let t = -3.4 + 3. Put t, z, -1\/8 in increasing order.\nAnswer: z, t, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 0*z**2 - 4*z**2)*(0*z**2 - 5*z**2 - 24*z**2)*((3 + 2 - 6)*(z + 0*z + 0*z) - 1 + 1 - z - 4*z + 4*z - 2*z + (4 + 1 - 6)*(z + z + 0*z)).\nAnswer: -348*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in -2, 1\/2, -0.9, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*l*z**2 - 87*l*z + 3*l + 488207*z**3 - 10*z + 23 wrt z?\nAnswer: 12*l + 2929242*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 8 + 1 + -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117049440 divided by -3440?\nAnswer: -34026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 + 24 = 11*w. Suppose -6 = -2*q + 3*q. Do w and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 u, and 1 b when three letters picked without replacement from {b: 2, u: 2, t: 6, s: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 13 + -6 - (21 - (27 - -5))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 21 - 4 + 48*s - 12*s**2 + 11*s**2 - 32*s = 0. What is s?\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1344 and 112103264.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1327\/140 + 243\/28. Put w, 175, 2\/9, -0.1, -4 in decreasing order.\nAnswer: 175, 2\/9, -0.1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.07157 grams in tonnes?\nAnswer: 0.00001207157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10599 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q + 4. Let j(a) = a**2 - a + 1. Let p(z) = -h(z) + 5*j(z). List the prime factors of p(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -1 - 3*y + 20 - 10*y - 7 + 28 + y**2 = 0.\nAnswer: 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 + 2.03. Let v = -0.01826 + 0.21826. What is the second smallest value in v, -0.7, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3387 is divided by 339.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13 + 0.63. Let o = -0.8 - -1.1. What is the nearest to o in -0.3, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 - 1.43. What is u rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**3 - 491*l - 1451. What is m(-3)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - ((-388)\/84 + 4\/(-6)). What is the closest to 1 in 0.4, -5, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1507420927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5.2. Let q = 2 - v. Sort -4, -5, q.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 - 1)\/(-4 + 10\/2). Suppose o*k - 385 - 101 = 0. What is the highest common factor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-96)\/30)\/((-4)\/10))\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9a - 65604?\nAnswer: -65548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*x + x = 0, 0 = -t - 2*x. Let j(o) = -5 - 3*o**2 - 3*o + 15 - 9 - o**3. Let g be j(-2). Solve -5*l - 25 = -5*u, t = g*l + 19 - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33613*x**3 - 4681*x**2 + 1 + 9352*x**2 - 4671*x**2 as u*x**2 + p*x + m*x**3 + h and give m.\nAnswer: -33613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 75, 142, 211, 282?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, b: 3, g: 6}. Give prob of picking 1 o and 2 g.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3)*n)\/n**(-3\/8)*((n*n**(-2))\/n)\/n**4*(n**1\/n**(-1\/8))\/(n**4\/(n**3\/n)) assuming n is positive.\nAnswer: n**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 1\/4, 1\/5, 643802?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34\/5 of a centimeter?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1874, 3842, 5840, 7874, 9950?\nAnswer: 12074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1984914 divided by 19\nAnswer: -1984914\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/99 and -45\/2000482?\nAnswer: 18004338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1080.8451 rounded to the nearest 10?\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsqqsqqssq. Give prob of sequence qqs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 5*i**8\/336 + 3*i**7\/28 + i**6\/6 - i**5\/3 + 43*i**3\/3 + 86*i**2. Let l(h) be the first derivative of g(h). Factor l(o).\nAnswer: 5*o*(o + 2)**2*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 253 and 9361.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.5 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 27, -0.4, 114, 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c - 5*i + 24, 2*i = -c + 12. Let r(j) = -j**2 + 9*j - 3. Let p be r(8). Solve p*l = 3*l - d, 0 = -c*l + 2*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 4*a + o + 54, -18 = a + 4*o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 34 = -4*o - 2, -3*o + 4*a = -3. Suppose -5*d - 2 = 2*b + 6, -20 = o*b. Let h(u) = 3*u**3 + 2 + u**3 + 5*u - 3*u**3 + 7*u**2 + d. Give h(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 - 1000?\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03245498 + 2141587.\nAnswer: 2141586.96754502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-15)*u**(-1\/11))**(29\/2) assuming u is positive.\nAnswer: u**(-4495\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.25 + 20.3. Let f = 11 + w. Let k = f + 0.95071. What is k rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 5*s - 7*s)*(-4 - 10 - 16).\nAnswer: 240*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 24 = -2*m, 0*i - 51*m + 23*m = -i - 12*m + 162 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0.7. Let i = 0.7 + -0.4. Let w be 4 + 38\/(-9) + 0. Sort w, q, i in decreasing order.\nAnswer: q, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*2*(6 - (7 - 2)). Suppose -10 = h*f - 13*f. Let x(n) = -n**3 + n**2 + 3*n + 3. Let d be x(-1). Solve 0 = -f*z - d*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -29700*h + 14030*h**2 - 2882 + 540*h**3 + 5*h**4 + 540 + 5404 + 12063 = 0?\nAnswer: -55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -784083.\nAnswer: -3920415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.175 + 10798350494.\nAnswer: 10798350495.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 268 - 269. Sort s, 8, 3, -5 in descending order.\nAnswer: 8, 3, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yffffffyfy. Give prob of sequence yy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3934?\nAnswer: 2, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n**2 - 7*n + 1. Let b = -7 + 10. Let d be r(b). Let h = 294 + d. What are the prime factors of h?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 21*c**2 + 3. Let o be g(21). Suppose 4*f - 168089 = -5*w, 2*f = -o*f + 5*w + 210055. Let l = 462016 - f. Round l to the nearest 10000.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2221*j**6 - 120*j**2 - 5.\nAnswer: 266520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -145.6 + 169.6. Let m = 0.022 + -20.022. Let k = m + c. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1838 + 3403. List the prime factors of v.\nAnswer: 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 11*p + 1644 - 1689 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930541415?\nAnswer: 5, 29, 31, 207017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 0, 0.5, -2.8, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 7:31 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 16. Let z(r) be the third derivative of 0 + 0*r - r**3 - 1\/24*r**v - 2*r**2. Calculate z(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 884.1293l?\nAnswer: 884129.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 9:26 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49988789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 77426417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(88)*-2 - sqrt(88)) - sqrt(88))\/sqrt(8).\nAnswer: 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -53. Sort 2, 0, k, 9 in decreasing order.\nAnswer: 9, k, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/5)\/d*d)\/d)**0\/(d**2*d\/((d*d**(-2\/7)*d*d)\/d*d)))\/((d**4*d)\/(d**4*d)*(d\/d**(-1\/5))**(-2\/163)) assuming d is positive.\nAnswer: d**(-1546\/5705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -548, -0.5, 1\/4, 1\/3?\nAnswer: -548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 281?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33015 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 43 + 5 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 960 and 52560?\nAnswer: 210240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 4*u + 26. Let y = u + -9. What is the first derivative of -m**4 - 2 - 2 + 5*m**y wrt m?\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4 + 138*v**3 + 2129*v**2 - 138*v - 2128 = 0. Calculate v.\nAnswer: -14, -1, 1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*i - 132, 2*b + 134 = -5*i + 6*b. Suppose 27*x = 21*x + 276. Let l = x + i. Calculate the remainder when 78 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1517*d - 25520 - 6337 = 0 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 13216*o - 13221*o - 65, 33 = -o - 4*m for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10793171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-4 - (-765)\/155). Suppose -2*p - 3*p + 15 = 3*k, 2*p = -6. Let s be 24\/k - 2 - (-38)\/(-20). What is the closest to l in -2\/7, s, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 + 11*j**2 + 12*j - 6. Let g be z(6). Solve -g = -2*a + 8*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136890\/273 + 4\/7?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42385 or 42382?\nAnswer: 42382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -4, 1\/658?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b + 35. Let c(l) = l - 6. Let n(w) = -35*c(w) - 6*u(w). Let f be -3 + (2 + 4 - 0). Calculate the remainder when n(f) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = z + 3. Let d(k) = k**3 + 5*k**2 - k - 6. What is d(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bubbbebbbbbbubbbb. What is prob of sequence eb?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23 and 2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0 + 0)*(114 - 191 - 369).\nAnswer: 892*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 909 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 20) + -6 + 22 - (0 + -10)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 1. Let l = 48\/7 + -185\/28. What is the third biggest value in d, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, g: 19}. What is prob of sequence ggg?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g + 6 = 0. Let m(a) = 3*a**2 + 7*a + 8. Let f be m(g). Does 5 divide (-6)\/(-8) + f\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/5)\/((-6)\/20). Suppose -3*u + 396 = -3*n, -130 - 398 = -h*u + 2*n. List the prime factors of u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 4893*j**2 + 19536*j - 19524.\nAnswer: 3*(j - 1627)*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s - 7405975 = -2573335. Let i = s - 572360. Round i to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slk when three letters picked without replacement from {x: 2, k: 1, l: 1, s: 1, u: 1, g: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-1 - 2\/(-3))*-2. Is (1340 + -1 + f)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 11 in decreasing order.\nAnswer: 11, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/17, 5, 0.1, 22\/5 in descending order.\nAnswer: 5, 22\/5, 0.1, -4\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21644 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 255*w**3 + 6*w - 6. Let h(i) = 254*i**3 + 5*i - 5. Calculate -6*h(x) + 5*y(x).\nAnswer: -249*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/91464 and 131\/19365648?\nAnswer: 716528976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 t, and 1 m when four letters picked without replacement from {t: 1, b: 2, i: 8, m: 1, n: 6}.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/6 + (-6 - -14). Suppose -14*n + s*i = -18*n + 56, i - 37 = -3*n. Calculate the smallest common multiple of 66 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.421 and 4.\nAnswer: 2.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 417472.\nAnswer: 417472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = a + 4*y - 3*y, 3*y + 40 = -4*a. Let h be 2 - 4 - (-17)\/1. Let g = a + h. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/(5*58\/(-10) + 15 + 12).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31262659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**4)\/y**(-1\/3))\/(y*y\/y**3*y**0)*((y\/(y*y**(1\/5)\/y))\/(y*y**6))\/(y**0\/y*y**1\/y) assuming y is positive.\nAnswer: y**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 161753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2694538 or -1\/2?\nAnswer: -2694538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, -0.286, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124 + -44. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.191, -5, -777.8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 942420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24, -55, -114, -207, -340, -519?\n\"Answer: -u**3 - 8*u**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248124620.\nAnswer: 2, 5, 31, 41, 43, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7 + 3*m - 2*m - 2*m. Let o be 6 - ((-64)\/(-56) + (-2 - 91\/(-49))). What is g(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4328437 is divided by 6105.\nAnswer: 6097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 22*s - 1935. Let k(a) = -62*a + 5805. Calculate -17*c(v) - 6*k(v).\nAnswer: -2*v - 1935","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v + 12. Let w = v + 4. Calculate the remainder when (105\/25)\/(w\/5) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/639 - -221\/2556. Let w(o) be the second derivative of -s*o**4 + 0*o**3 + 0 + 0*o**2 + o + 1\/10*o**5. What is the third derivative of w(q) wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**3 - 3*n + 4. Let p(a) = 4*a**3 + 4*a - 5. What is -2*p(d) - 3*r(d)?\nAnswer: d**3 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -9. Let h = m - -10. Suppose -h = -x - 2*x. What is the highest common divisor of 64 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 475\/171 + (-12)\/(-54). Solve -5*w + l*j - 9 = -2, -20 = -5*j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Let f(n) be the second derivative of -5*n**4\/12 + 157*n**3\/6 - 1869*n. What is f(h(x))?\nAnswer: -5*x**2 - 157*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 85 = -3*d. Calculate the greatest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-6 - -9) - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 292, 546, 800, 1054, 1308?\n\"Answer: 254*m + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -29*w**3 - 3*w**2 - 3*w - 3. Let f be ((-2)\/4)\/((-67)\/536). Let l(u) = 30*u**3 + 2*u**2 + 2*u + 2. Give f*k(n) + 6*l(n).\nAnswer: 64*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -5*l + 1\/6*l**3 + 0*l**2 + 3\/10*l**5 + 0*l**4 + 0. What is the second derivative of f(z) wrt z?\nAnswer: 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -63*m + 1770. Let j be n(28). Solve -a + a = -j*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -120*m - 45. Let t(x) = -11*x - 4. What is 4*p(u) - 45*t(u)?\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*z - 8, 3 = f - 1. Put -0.5, z, -1 in ascending order.\nAnswer: -1, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*y = 2739 + 110 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42.68 - -15.72. Let b = p + 27. Put 5, b, -3 in increasing order.\nAnswer: -3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -7 (b) 3 (c) -2 (d) 4\/9 (e) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1721.\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29, -538, -1951, -4718, -9289, -16114, -25643?\n\"Answer: -75*b**3 - 2*b**2 + 22*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 6 - 22 = 2*f, 0 = 4*f + 3*k - 20. Solve -2*q = -f*i - 0 - 4, -q = -4*i - 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-21)*z)**(-7))**(3\/14) assuming z is positive.\nAnswer: z**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*o = -88*o - 3883. What is the remainder when o is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 7:44 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**10*v**12*v*v*v**3*v**3\/v assuming v is positive.\nAnswer: v**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 666583649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 542844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -5 - (-13 - -11)) + (33 - 5818031). What is c rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**5\/3 - z**4\/4 + z**3\/3 + 2*z**2. Let x(t) = 10*t**2 - 3*t + 1. Let r(c) = -2*w(c) + 5*x(c). Is r(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3, 0.5, -17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1966774 is divided by 117.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 12 = 9. Suppose 27491 = s + y*o, -s + 137509 = 4*s - 3*o. What is s rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/3)*f\/((f*(f\/(f\/(f*f**(11\/5))*f))\/f*f)\/f*f)*(f*f**5)**(11\/2))**14 assuming f is positive.\nAnswer: f**(6538\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -4 + 12 + (12 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-169546)\/39)\/((-17)\/51). What is t rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Let j = 54 - 55. Which is the nearest to j? (a) -5 (b) 2\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6 - 13) + -39 - -9) + 6 + 5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (70 - 67) + -1 + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/z**1)))**(-3)\/(z\/z**(-1\/3))**(-12\/7))\/(z**0*z*z**(-1\/5)*z*z*(z**4\/z)\/z*z*z*z**(-2)*z) assuming z is positive.\nAnswer: z**(-123\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -27. Let z = a + -32. What is the smallest value in z, -4, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131276 is divided by 43740?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.641 - 3.764861. Round p to three decimal places.\nAnswer: -0.124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*t + 33*t + 2*t**2 - 4*t**2 to the form g*t + z*t**2 + s and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3))**(-2\/145)\/((y*y**1*y)\/(y\/(y**(-1\/4)\/y)))*(y\/(y**(-1\/15)\/y)*(y*y**9)\/y)**(-1\/84) assuming y is positive.\nAnswer: y**(-6511\/7308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, -0.1, 392, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 2*j**3 + 0*j - j.\nAnswer: -j**3 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 3*k + 9. Let u be l(4). Which is smaller: u or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1402252.\nAnswer: 2, 350563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 22340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 107244.46 to the nearest one hundred.\nAnswer: 107200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 12.74. Let q = -0.16 + t. Which is smaller: q or 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 3 + 4*l**3 + 2*l**3 + 3*l**3.\nAnswer: 9*l**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3492870, -1, 1 in increasing order.\nAnswer: -3492870, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**5\/40 + u**4\/4 + 3*u**3\/4 - 6*u**2. Factor v(i).\nAnswer: 3*(i + 1)*(i + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 3, 2\/11, -0.2, 31?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4769 divided by 516?\nAnswer: -4769\/516","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12866, -8019, -3172, 1675?\nAnswer: 6522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -15*g**2 + 7*g - 11. Let f(u) = 30*u**2 - 12*u + 21. Calculate -4*f(p) - 7*h(p).\nAnswer: -15*p**2 - p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-110*1)\/(((-8037)\/47)\/(-57)))\/(5\/(-6))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 11 = -5*r + 66, 3*z - 3*r = -57 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578852?\nAnswer: 2, 47, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 40 = 3*s, 51*s - 15*t - 704 = 5*t - 25*t for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/17)*h*h)**26 assuming h is positive.\nAnswer: h**(936\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2530 is divided by 312.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/621 and -197\/875610?\nAnswer: 875610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47640.1 + -25535.\nAnswer: 22105.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1231 + -1226. Are h and 11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 4*b)*(-6*b**3 + 2*b**3 + 5*b**3).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - 5 - 2)*(-3*k**2 + 3 - 3).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26865550 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 - (-1102)\/114. Let w = 5 + -1. Let b be 1 + 0 + 0 + 1. Solve -w*n + q = -b*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -13*a - 27, -13*a - 4 = 14*a - 23*a for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 5, -69605.\nAnswer: -69605, -17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3\/3 + 957*b**2 + 28619*b\/3 + 8583 = 0.\nAnswer: -2861, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2356 - 2368. Let p(a) = a**3 + 11*a**2 - 15*a - 34. Give p(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -794781*x**3 + 11319*x - 15 wrt x.\nAnswer: -4768686*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 254 - 475. Let k be -392 + 10 + 1 + -5. Let w = t - k. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 239 = 5*o, -h + 8 = 12. Let d = o - 49. Let p(x) = -2*x - 6. Let l be p(-6). Solve -4*u - l = d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62784.335 to the nearest 1000.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 8*u**2 + 7*u - 6. Let f be g(-7). Let i be (-1)\/f + (-4)\/6. Let j = 0.01 + -0.21. Which is the second biggest value? (a) i (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/9 of a hour in seconds?\nAnswer: 13600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 125*k**5 - 35525*k**4 + 2527520*k**3 - 481400*k**2 - 1607440*k - 403280 = 0.\nAnswer: -2\/5, 1, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 6121\/117702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, 0, 202463, -3, 5 in descending order.\nAnswer: 202463, 5, 1, 0, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*j = m - 16, -18 = -4*m - j. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e35 + -3?\nAnswer: -e38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 46, 30 in descending order.\nAnswer: 46, 30, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753148111?\nAnswer: 4493, 167627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -146926707.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 319939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/4*16\/6. Let q = -11 + 21. Calculate the remainder when ((-27)\/2)\/(3\/j) is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-18)*3*(-5)\/(-25)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/8 of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 17. Suppose 12*i = 41 - n. What is the nearest to 1\/6 in -4, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8031 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2028934 (b) 1\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 20*s + 25. Let p(z) = -2*z - 1. Give 6*p(d) + q(d).\nAnswer: 8*d + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**2 - 1\/5*m**5 + 0*m + 0*m**4 - 1 + 0*m**3. What is the second derivative of k(r) wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -1605, -3799, -6871?\nAnswer: -10821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91632970\/1719 + 53306. Find the common denominator of 133\/132 and h.\nAnswer: 75636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269449, 1077887, 2425311, 4311721, 6737117?\nAnswer: 9701499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -26, -2, -175 in increasing order.\nAnswer: -175, -26, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 6*y + 0*y + 2 - y**2. Calculate z(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j - 15. Let q be z(6). Suppose 0 = 2*b - 9 - q. Calculate the remainder when 33 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.5. Let u = d + 0.3. Let g = -2 + 2.4. Which is the nearest to u? (a) 1\/4 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21735910.\nAnswer: 2, 5, 7, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (9 + (-1 - 0))) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61468935?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obapopboobb. Give prob of picking 2 o and 1 a.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11631 = -3*s - 4*c, -15508 = 19*s - 23*s + 5*c. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10074 less than -6.695531?\nAnswer: -6.796271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -8, -0.1, -20\/9, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -113473 divided by 11?\nAnswer: -113473\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 561 divided by -51\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -293592 divided by 146796\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 + -9 - (1 - -175). Let m = q - -459. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(228) - -1*sqrt(228)) + sqrt(228)) + (sqrt(228) - -6*-2*sqrt(228)))\/((sqrt(48) - (sqrt(48)*-2*-5 - sqrt(48))) + sqrt(48)).\nAnswer: sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 - z + 1. Calculate l(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/6677 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114\/5 + -23. Let l = -1\/20 + z. Let y = 16.27 + -15.77. Put y, l, -0.06 in descending order.\nAnswer: y, -0.06, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 1:26 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(432)*-1 + -2)*-2 + 4 + (sqrt(432)*-2 + sqrt(432) - sqrt(432)) + -2 + sqrt(432))**2.\nAnswer: -1872 - 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/83 and 13\/9.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1862 by 931.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14, -18, -8, 22, 78, 166, 292, 462?\n\"Answer: a**3 + a**2 - 14*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 676*t**2 - 2014*t + 1340.\nAnswer: -2*(t - 335)*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -0.9 (c) -0.2 (d) -0.4 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 9:58 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(45) + -1 + sqrt(45))*-1)**2*-2.\nAnswer: -144*sqrt(5) + 2172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53627 is divided by 327.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -13784 less than -13784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1373274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i**3 + 9*i**2 + 17*i + 17. Let k(q) = 12 + 3*q**2 - 6 + 6*q + 0*q**2 + 3*q**3. Let o(g) = -17*k(g) + 6*s(g). Factor o(y).\nAnswer: -3*y**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4988376 is divided by 1662777.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 10:39 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2041115384?\nAnswer: 2, 7, 11, 59, 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*k*y**4 - 2*k*y**2 - 21*k - 40*y**3 + 10*y wrt y?\nAnswer: 96*k*y**2 - 4*k - 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 - (-9)\/(27\/33))*5\/(-10). Sort -1, 14, 4, -3, k.\nAnswer: -3, k, -1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 800, 0, 7, -29, -3, 1 in decreasing order.\nAnswer: 800, 7, 1, 0, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*(9 + -17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b - 94. Let c be v(16). Let w(x) = 8*x**2 - c*x**2 - 17*x**2. Let u(r) = -r. Calculate u(w(a)).\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222740.\nAnswer: 2, 5, 7, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2340492.54 rounded to the nearest ten thousand?\nAnswer: -2340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*q + 14 = 0. Suppose f - 4 = q. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + 29*a + 18*a - a**2 as u*a**2 + j*a + g and give j.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 6150.\nAnswer: 7\/1025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 44154*l + 16. Let x be g(6). Suppose -5*t + o + 405954 = -1898749, 0 = t - 2*o - 460946. Let b = t - x. Round b to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/36*-15)\/(1\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 - 85. Suppose -n*f + 356 = -79. What are the prime factors of f?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36516 (base 8) to base 3.\nAnswer: -210112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (2 - -38 - (24 - 32)) + 17?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 2*j - 4*o - 35, 2*j + 4*o + 2 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3.8. Let o = -0.3 - p. What is the closest to -2 in o, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + (sqrt(2448)*-2 + 5)**2*-6.\nAnswer: -58898 + 1440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**4 + 14945767*d**3 + 42493521*d - 5 wrt d?\nAnswer: 12*d**2 + 89674602*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/28 and 49\/624.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -1323a?\nAnswer: 13238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 3*m**5\/10 + 37*m**4\/72 - m**3\/36 - m**2\/6 + 9*m - 3. Let n(k) be the first derivative of u(k). Find s such that n(s) = 0.\nAnswer: -1, -1\/4, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/3 - 245512*s**2\/3 - 3767258884*s\/3.\nAnswer: -4*s*(s + 30689)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a7 - 3?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-119)\/(-68))*-8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9\/2)\/(q\/(q\/q**(2\/3))))**26 assuming q is positive.\nAnswer: q**(-403\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3323, 6117, 8919, 11729?\n\"Answer: 4*q**2 + 2782*q + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 38*h**2 + 39*h + 25. Does 3 divide v(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.44 - 0.56. Let x = t - -27.74. Let y = 0.25999991 + x. What is y rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1827*n = -1825*n - 3*s - 67, -s + 5*s - 7574 = -199*n for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -8. Let u = -11 + b. Let w = 3 + -2. What is the smallest value in w, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11513, 11520, 11523, 11516, 11493, 11448, 11375, 11268?\n\"Answer: -a**3 + 4*a**2 + 2*a + 11508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oooojwwjwjwowowllwz?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.067927ng to milligrams.\nAnswer: 0.000003067927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12564, 12600, 12628, 12642, 12636?\nAnswer: 12604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 23*j**2 + 82*j - 1317. Determine h(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1)\/(42*(-8)\/(-72)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2772.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 2*o + 46. Calculate the remainder when 35 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1827 divided by -266?\nAnswer: 261\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + z**3 - 2*z**3 + 3*z**3)*((-17*z - 5*z - 41*z)*(-2 - 1 + 5) + (0 - 2 + 4)*(2*z - 3 + 3)).\nAnswer: -244*z**4 - 244*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29804, 29560, 29298, 29018, 28720?\nAnswer: 28404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/108)\/((-1)\/(-3)). Let i = t + 5\/9. Let h = -330212 - -330207. What is the biggest value in h, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, v: 1, i: 1, a: 2, e: 1}. What is prob of sequence im?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 5*l**2 + 5*l + 26. Let t(b) = -b**3 - 3*b**2 + 6*b + 22. Let g(w) = 4*o(w) - 5*t(w). Calculate g(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 10*m**2 + 20. What is the hundreds digit of x(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46455*s**3*t**2 - 104*s**3 - 180*s**2 + 58*s*t**2 - 5 wrt t.\nAnswer: 92910*s**3*t + 116*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 15 - 621. Let h = -202 + x. Sort 3, 2, 1, h in ascending order.\nAnswer: h, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -11110000100?\nAnswer: -11110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - 2\/(-1)*-1. Let y = 3\/4 + -1\/2. Sort y, o, -0.1 in increasing order.\nAnswer: -0.1, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 + 3*p**3 + p**4 + p**2 + 0*p**2 + p**4 - 2*p as y*p**3 + h*p**4 + n + u*p + j*p**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n. Let m(p) be the third derivative of 0*p**4 + 0*p**3 + 0 + 0*p + 1\/60*p**5 + 4*p**2. Give f(m(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4119, 4921, 5729, 6549, 7387, 8249, 9141?\nAnswer: 10069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -989*a - 1791*a - 13872 = -468*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b**2. Let y(c) = -c + 1. Let s(w) = -2*w - 162 + 79 + 81. Let d(a) = 3*s(a) + 6*y(a). What is d(o(g))?\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 1, -2, -7\/22?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29956 + 29939. Let p(w) = -w**3 - 19*w**2 - 24*w + 17. Calculate p(n).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731915565?\nAnswer: 3, 5, 149, 327479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37750 is divided by 286?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 679116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 798*y - 436*y**5 - 331*y**5 + 63*y**5 wrt y.\nAnswer: -14080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuuuttuuuuu?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -54163 * 0.8\nAnswer: -43330.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 1\/30*u**5 + 0*u - 20*u**2 + 5\/24*u**4 - 1\/6*u**3 + 0. What is h(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 459*d + 4354 + 2107 + 883 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 21. Let y be f(-12). Factor 199*d + 113*d + 48 + 155*d**4 + 723*d**2 - 70*d**3 + 88*d**4 + 772*d**y.\nAnswer: 3*(d + 1)**2*(9*d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2268) + -2) + (sqrt(2268) + (2 + sqrt(2268))**2)*2.\nAnswer: 216*sqrt(7) + 4540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (119 - (10 - 8)) + (-9 + 18 - 18) + 0\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -939 - -941. Let a be ((-2)\/(-4))\/(15\/(-420)). Let v be (-60)\/a + 8\/(-28). What is the greatest common factor of v and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 498589 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -59, -85, -111?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127487\/4 + 31694. Let x = y - -180. What is the common denominator of x and 71\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -548633\/756300 + 375\/2521. Let q = f - 9\/100. Put -2\/5, -5, 6, q in ascending order.\nAnswer: -5, q, -2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**6\/72 - 13*r**5\/6 - 845*r**4\/6 - 43940*r**3\/9 - 7*r**2. Factor u(l).\nAnswer: -5*(l + 26)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 528 and 288?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from yjulgii?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3*4\/(-3) - (-271)\/(-40) and -21\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {d: 4, a: 3, c: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-2)\/82) - 6669\/4446?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -36, 55 in ascending order.\nAnswer: -36, 10, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -533489524 divided by 289468\nAnswer: -1843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (408\/36)\/((6\/(-333))\/(-2)).\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/4 + 91*f**3\/2 - 8461*f**2\/4 + 4095*f - 2025.\nAnswer: -(f - 90)**2*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 449200 rounded to the nearest 10000?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, m: 3, j: 1, i: 3, y: 1, q: 5}. Give prob of picking 1 j and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 899 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3) + 1 + ((sqrt(216)\/sqrt(8) + sqrt(27))\/sqrt(9))**2.\nAnswer: sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1544859 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: Suppose 7 = 4*u - 5. Let i(n) = -7*n + 5. Let c be i(u). Let m be (-28)\/c - 1\/(-4). Solve m*d - x - 3*x = 0, -5*d = -3*x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3303434 - 2?\nAnswer: 3303432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2552 and 154629827?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - ((-2 - 1) + 7)) + (25 - 24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1396790.4250848?\nAnswer: -1396792.4250848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5 (b) 2\/7 (c) 1 (d) -1\/7 (e) 1\/8 (f) -7\/156 (g) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -296 + 331. Solve 2*u - 43 + o = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 1. Let d(j) = -2*j - 4. Let p(h) = -d(h) - 4*y(h). Let k be p(-2). List the prime factors of ((-8)\/12)\/(k\/(-66)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**4 - 1 + 2246*a - 4486*a - 8*a**3 + 2238*a as b*a**4 + c*a**3 + s*a + u + t*a**2 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 - 11*f**2 + 11*f**2)*(-2 + 5 - 1)*(4*f - 3*f + 9*f).\nAnswer: 20*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 85 + 1. Suppose 4*b - 11*b = -q. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from {h: 1, w: 1, x: 1, f: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31713)\/(-62))\/(2480\/480).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5017*-507\nAnswer: 2543619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41017320 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 3*q + 3. Let s be l(6). Suppose 3 + s = 5*n. What is the lowest common multiple of 16 and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6002 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4 = -3*d, -4*k = 3*d - d + 2. Solve 0 = i + k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m + 2*m**3 + m**2 - m**2 - 3*m**2 - 2*m**2 - 5. Let k(y) = -y**2 - y - 1. What is -5*k(w) + o(w)?\nAnswer: 2*w**3 - 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0*m**4 - m**4 + 0*m**4 - m**3 - 2*m in the form t*m**4 + d*m**3 + c*m + q*m**2 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 16*r. Let b(m) = -16*m. Suppose -3*k = -2*n - 4, -5*k - 14*n = -17*n - 8. Calculate k*b(x) + 5*f(x).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 + -66. Suppose 26*n + q = 29*n. Solve 0 = 4*y - k - 3, -4*y = -2*y + n*k - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1585 divided by -2366\nAnswer: -1585\/2366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**4\/24 + 2*z**2. Let k(q) = -6*q - 1. Determine 2*k(p) - 10*y(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3*2)\/((-4)\/(-20)). Let f = 120 - 107. Let i(s) = -s**3 + 15*s**2 - 28*s + 30. Let k be i(f). Solve 5*w + h = k*j, 0*j + 4*w - 2 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 6*u**2 + 8*u + 3. Let q be j(4). Suppose -2*d - q*w + 876 = 0, 36*d - 35*d + 5*w = 424. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-one fifths of a microgram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*m**2*s**2 - 1128564*h*m**2*s - 496*m**2*s**2 - 2*m**2*s + m**2 - 2*m*s**2 + 2*m + 76*s wrt h.\nAnswer: 2*m**2*s**2 - 1128564*m**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 4. Let m(t) = t + 11. Let z be m(o). What is the units digit of z\/(-4)*(-32)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.98 - 10. Let m = -0.22 - s. Suppose -2*y = -4*k - 3 + 11, -4*y - 5*k = -10. Put m, y, 2\/15 in increasing order.\nAnswer: m, y, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -332, -751, -1338, -2093, -3016, -4107?\nAnswer: -5366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -5. Suppose -f = -2*i, -i + 0*i + 1 = 0. Suppose -f + 6 = m*s. Solve -c + s + 2 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 6*t - 6. What is the smallest common multiple of u(-3) and 2\/(-17) - (-70)\/17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u. Let h(j) be the first derivative of -j**6\/72 - 4*j**3 - 5. Let r(t) be the third derivative of h(t). Give r(n(i)).\nAnswer: -245*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -57, -1 in decreasing order.\nAnswer: -1, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27699305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j = -3*l - 20*j + 1, 12 = -4*l - 4*j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6654\/49 at most as big as -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 g when three letters picked without replacement from {g: 7, i: 4}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 982 divided by 39?\nAnswer: 982\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 2. Let l be n(10). Find u, given that l*u**4 - 14*u**4 + 4*u**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*j = -26, -2*h - j + 12 = 2. Solve -p - 6 = -3*l, 5*p + 13 = l - h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 + 1 = 0. Let j = n - 23. Is 18 a factor of -6*(-24)\/(j\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 7\/3*c**4 + c**5 - 2\/15*c**6 - 12*c**2 - 10\/3*c**3 + 0 - 17*c. Factor t(s).\nAnswer: -4*(s - 6)*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 12*v**2 + 2*v + 1. Let q be r(-1). Let s(d) = 9*d + 10. Is s(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) - -1*sqrt(187))*-5 + sqrt(187))*-1*-2)\/(-1*(2*sqrt(1331)*6 - sqrt(1331))).\nAnswer: 18*sqrt(17)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -8030 and -56211\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, y: 2, r: 1, w: 3, c: 1}. What is prob of sequence ywwr?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((0 + sqrt(475))**2 + -3).\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2187 and 80676?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -23442 (c) -2.1 (d) 1\/4 (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/((-44)\/(-5) + -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2718536 (base 9) to base 11.\nAnswer: -927828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a decade?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*n = -3*n + 59, 3*w - 4*n = 101. Let g = 67 - w. Let m be 1\/g - 2\/7. What is the second smallest value in -4, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.09 (c) 0.04 (d) 78.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 174?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = 2*g. Let r be 4\/(((-91)\/6)\/7) - g. Let d = -5 - -8. What is the nearest to 0.2 in d, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80410\/(-255))\/(-86)*(-24)\/(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*g**2 - 110*g**2 - 110*g**2 + 333*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2*d - 5 = 0, 6*b - 20 = 2*b + 4*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*z + 484. Suppose 2*h = z + 180. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6e87 (base 16) in base 13?\nAnswer: cb57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 - q + 2. Let f be l(1). Suppose 3*b + 2*z - z - 115 = 0, f*z = 4*b - 185. Calculate the remainder when b is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1, 13, 5 in decreasing order.\nAnswer: 14, 13, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -13. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -7 - 6 - -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 427055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**4\/24 - j**3\/6 + 14*j**2. Let t be z(-13). Let q(p) = p**3 - 12*p**2 + 7*p + 12. Is q(t) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 2. Let c be q(-2). Let -2*g**5 + 2*g - g**4 + 4*g**2 - 4*g + c*g**5 + 4*g**3 - 2 - g**4 = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -15. Suppose -12 - 4 = -f + m*o, 5*f - 36 = 4*o. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from iixixxiiixggxigi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 1, -4387, 6, -6\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29, -54, -103, -188, -321, -514, -779, -1128?\n\"Answer: -2*b**3 - 11*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 22*a - 45. Let k be l(-24). Suppose t + k*x = 42, -18*t + 3*x - 258 = -23*t. Calculate the remainder when t is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -980489241*f**3 - 1595547385 wrt f.\nAnswer: -2941467723*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 369731, 739541, 1109351, 1479161, 1848971?\nAnswer: 2218781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10753773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 50.2, 1\/3, -4\/27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 41*h**3 - 5*h**2 + 29*h + 20. Let s(f) = 348*f**3 - 42*f**2 + 246*f + 168. Give -42*k(m) + 5*s(m).\nAnswer: 18*m**3 + 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-2)\/2*2\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181085237 to the nearest integer?\nAnswer: 13457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 5*n**2 + 4*n - 2. Let b be i(-6). Let x be 1\/(2\/b*1). Solve -15 = -x*k + r, -5*k - 8 = -4*r - 38 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132048 and 428632.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4050))**2 + -2 - (6*(-1 + sqrt(4050) - sqrt(4050)))**2 - (sqrt(500) - ((sqrt(500)*2 + sqrt(500))*-2 + sqrt(500)))\/(sqrt(30)\/(sqrt(9)\/sqrt(3))).\nAnswer: -30*sqrt(2) + 4012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.17, -2\/13, 0, 12 in decreasing order.\nAnswer: 12, 1.17, 0, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2318 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2 + 29*u - 51. Let b be n(7). Solve -b*d = d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, d: 2, i: 1}. What is prob of sequence lldd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 529 = -115. What is the lowest common multiple of k and 27?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 - -62. Let w = d - -54. What is the greatest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.838128815 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 7:37 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 27, 5 in descending order.\nAnswer: 27, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + 1a9b8?\nAnswer: 1a9c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*p + 7. Suppose -p*h = j - 25, -2*h + 10 = 3*j - 4*j. Let v = -2 + 1. Put 0, h, v in descending order.\nAnswer: h, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 211112344?\nAnswer: 211112400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -225434130 (base 6) in base 10?\nAnswer: -4188294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 20*g - 7*g - 9*g**3)*(g - g + g).\nAnswer: -9*g**4 + 11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 1654036.\nAnswer: 16540360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 5*w - 3, l - w + 0 - 3 = 0. Sort 0.5, 0, -1\/25, l in decreasing order.\nAnswer: l, 0.5, 0, -1\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2*(-132)\/(-24)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**6\/120 - 3*k**3\/2 - 5*k**2. What is the derivative of c(f) wrt f?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 14970*o - 44. Let s(h) = -7481*h + 24. Give 6*p(b) + 11*s(b).\nAnswer: 7529*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 614610 by 9.\nAnswer: 68290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + (6 - 3))\/2. Suppose -q + 2 = -m. Suppose -12 = -q*k + 4*c, 0 = -4*k + 3*c - 9 + 25. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from wjxjxjjjwjxxx?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 7:35 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6, 5, -60.994 in ascending order.\nAnswer: -60.994, -2.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.02.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 552.00999896828 - 552.01. What is c rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s + 3. Calculate the lowest common multiple of 16 and w(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53161.94098 rounded to the nearest 10?\nAnswer: -53160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27656 or -27657?\nAnswer: -27657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 + 9*o + 1. Let z be r(3). Let a = 82 - z. Solve -3*d - 18 = -a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*f - f**2 + 13 - 13)*(71 + 189 - 41)*(0*f**2 - f**2 - f**2).\nAnswer: 438*f**4 + 6132*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s + 2*s + s + (-26 + 26 + 12*s)*(-1 - 3 - 1) to the form u + y*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 5*f - 2. Let t(u) = -8*u - 22*u**2 - 4 + 21*u**2 - 3. Let j be t(-5). Suppose 4*h = -3*k - 24, -3*k = 2*k - 4*h + j. Determine i(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guju when four letters picked without replacement from {s: 1, y: 2, u: 3, g: 3, j: 5, h: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -11534 (b) -1\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*n - 3, -6*n = -2*n - 2*m - 2. Suppose n*d = -d + 1. Calculate the lowest common multiple of ((-1)\/2)\/(1\/(-18)) and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*i - 607*i + 194*i + 191*i + 148*i.\nAnswer: 67*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/23 and -5\/36331.\nAnswer: 835613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 15 = r, 2*r + 5*k = 22 + 43. Suppose 10*b = 5*b + r. What is the greatest common divisor of b and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 5*u**2 + 12*u - 26. Calculate p(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 18462 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/3)\/(-4)*3. Let f(k) = k**2 - 5. Let z = 71 + -68. Let a be f(z). Sort a, r, -4, 0 in descending order.\nAnswer: a, 0, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 7. Does 3 divide h(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 49.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (21 - 44\/11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445752709?\nAnswer: 359, 1241651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -28*k + 12*k - 11 + 18*k + 0. Give p(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66646 divided by 3\nAnswer: 66646\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59572 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + 138. Calculate the remainder when y is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1985676 divided by -60172?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -28. Suppose -4*b = z*k - 328, -2*k + 4*b + 109 = -79. What are the prime factors of k?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 1, w: 1, v: 1}. Give prob of picking 1 v and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.824 - 1.6939. What is z rounded to 3 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2732 greater than or equal to 2719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, s: 1, r: 3, j: 2, y: 1, m: 1}. Give prob of sequence jyj.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00080231207 rounded to six decimal places?\nAnswer: -0.000802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzmb when four letters picked without replacement from mbzbm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 2*t - 17901*t**2 + 17963*t**2.\nAnswer: 62*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - k + 2*o + 5, -5*k + 3*o + 9 = 0. Suppose 0 = -2*r - 1 - 37. Sort -2, k, -3, r in decreasing order.\nAnswer: k, -2, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -719, -738, -755, -770, -783, -794?\n\"Answer: w**2 - 22*w - 698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4416 - -0.1246. Round u to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.34514 meters in millimeters?\nAnswer: 48345.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2503740?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5 - 48*a**4 - 33*a**3 + 192*a**2 + 180*a = 0. Calculate a.\nAnswer: -15, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 3*j**2 - 3*j**2 + (-j + 2*j + j)*(0*j**2 + 0*j**2 - 2*j**2) + 3*j**3 + 0*j**3 + 13*j**2 - 2*j**3.\nAnswer: -5*j**3 + 13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3155 + -3155.2. Which is the closest to g? (a) -2 (b) 2\/3 (c) 11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -2\/9, 1.89?\nAnswer: 1.89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 7 = -5*a, -4*a + 3*s = -s + 20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1447*i. Let w(h) = -11*h + 11. What is j(w(z))?\nAnswer: 15917*z - 15917","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 2*o = -14, 2*y + 6*o + 243 - 265 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*x - 415*x - w - 2 = 0, -w - 5 = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 34891463 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 22 in increasing order.\nAnswer: -1, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 40*j**2 + 2. Let x(s) = -61449 + 61449 - 27*s. Calculate g(x(f)).\nAnswer: 29160*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w + 9. Give c(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/28)\/((-150)\/(-35)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 54, -0.05 in decreasing order.\nAnswer: 54, 1\/6, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfg when three letters picked without replacement from {r: 1, s: 1, f: 1, j: 1, t: 2, g: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 2\/11, -294481 in decreasing order.\nAnswer: 5, 2\/11, -2, -294481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**2 + 5*b**2 + 2*b**2)*(1 - 3*b + 2*b + 2) as r*b**2 + z + q*b + f*b**3 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.1, 3\/7, 50\/7, 79\/11 in decreasing order.\nAnswer: 79\/11, 50\/7, 3\/4, 3\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/42329760 and -73\/8818700.\nAnswer: 211648800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + 13*t + 20. Suppose -7*l - 60 = -4. What is the lowest common multiple of k(l) and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -157.8 - -155.8. Sort 2\/13, -1, h, -1\/9.\nAnswer: h, -1, -1\/9, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.64 and -0.59?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -664260 + 1367903. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/808 and 26\/15.\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.4 + 10. What is the second smallest value in a, -11, -2\/17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -61, -84, -105, -118, -117, -96, -49?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7082, 0, -4, 4, 12.\nAnswer: -4, 0, 4, 12, 7082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + 777980\/(-11970) + -25.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.909 - -0.091. What is the biggest value in 2, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1325 is divided by 47?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68058617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 10*q**4 + 188115*q**3 + 1410420*q**2 + 2256400*q - 1504320 = 0.\nAnswer: -18804, -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*b**3*u**3 - 2*b**3*u**2 - 6*b**3*u - 2049410*b**2*z + 3*b*z + 138884*u**3*z - 1 wrt u?\nAnswer: 408*b**3 + 833304*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139749 is divided by 9312?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*d + 64*d - 48*d + 50*d.\nAnswer: 109*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9828, 9963, 10098, 10233, 10368, 10503?\nAnswer: 10638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**3 - 2541*r + 14231 + r**3 + 36*r**2 - 115*r**2 + 79*r**2 wrt r?\nAnswer: 9*r**2 - 2541","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a minute in milliseconds?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 497004617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000545164 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 o when three letters picked without replacement from {o: 1, u: 12}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8*z**3 + 3*z**2 - 5*z + 5. What are the prime factors of h(3)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by 10.\nAnswer: 61\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 1495 = -1671. Suppose -5*d - 12 = -3*d. Let r be d\/4*24\/(-18). Calculate the highest common divisor of w and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqqqa. Give prob of sequence aqaq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/10)\/(4\/15). Let d = -1717\/40 + 90213\/2120. Let s = d + -3\/106. What is the nearest to s in 0, 2\/11, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3246022023 to the nearest integer?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*f - 11*f - 27. Is (-4766)\/(-18) + 3 + (-75)\/f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 0 - (1 - -2). Let i = n - -5. Let y be (110\/i)\/(1\/44). Round y to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -82, -85, -88, -91, -94, -97?\n\"Answer: -3*h - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avaaavaavaaaaaaaaa. Give prob of sequence vaa.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, z: 5, s: 2, l: 1, j: 1, r: 4}. Give prob of picking 1 j and 1 w.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -9*g. Let f(u) = -5*u. Let t(w) = 10*f(w) - 6*n(w). Let m(a) = 5*a. Calculate m(t(p)).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4840 + 19211 + 17*o - o - 5*o - 10*o to u + b*o and give u.\nAnswer: 14371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12637, 5, 3, 4 in ascending order.\nAnswer: -12637, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0085 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10231322301 (base 4) to base 8\nAnswer: 4557261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 - -126. Let f = -64 + n. Suppose f = -14*c + 18*c - 41600000. What is c rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 - 2*z. Let t be -1*(6\/(-1) - -2). Let o(r) = r**2 - 1. Let m(v) = t*o(v) - j(v). What is m(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*x + 75, -5*x - 15 = -4*x + j. Let h be ((-5)\/105)\/((x\/18)\/5). Which is the second biggest value? (a) 0.1 (b) h (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7400400 and 240?\nAnswer: 7400400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.249801ng in grams?\nAnswer: 0.000000004249801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 241 times -47601\nAnswer: -11471841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2451.688 tonnes?\nAnswer: 2451688000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -39*n + 44*n + 15*r, 0 = -2*n + r + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from zhhzzjhhzjzz.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 68. Let i be r(-11). Let o = i + -82. Let d(x) = x**2 - 5*x - 16. Let c be d(o). Is c at least as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 1 - 1)*(3*w - 3*w + 2*w) + 0*w + 5*w**2 - 3*w - 7*w**2.\nAnswer: 2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936 is divided by 63.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35731797.73099867 + 35732073.731. Let p = o + -276. Round p to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 1. Let k be h(-6). Suppose 2*l = -5*c + 7, -4*l + 5 = k*c - 4. Let u = 19.5 - 23.5. What is the closest to l in 2, -0.4, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/7)\/f)\/f)**(1\/20)*(f**(1\/4))**(-1\/55))\/((f**(6\/7)\/(f*f**6))\/((f**(1\/4)\/f)\/(f\/f**(-1)))) assuming f is positive.\nAnswer: f**(2521\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let k(y) = 48*y + 184. What is k(a(d))?\nAnswer: 48*d + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000247359 rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1924 + -2?\nAnswer: -1926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1621*s - 43 + 16 + 953*s + 38 + 165 wrt s.\nAnswer: 2574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36502?\nAnswer: 2, 18251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13154528 and 183793?\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 265685 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1881, 1905, 2023, 2283, 2733, 3421?\nAnswer: 4395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -12, -15.49, -0.3, 28?\nAnswer: -15.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1188 and 132?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 0*g + 3*g)*(0 - 6 + 1)*(-3 + 2 - 3) in the form c + s*g and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from uuuuuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/31 (b) -29 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, 0.7, 0.03, 0.5, 1.3, 5 in increasing order.\nAnswer: -131, 0.03, 0.5, 0.7, 1.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (516 - 534) + 1 + -3 + 1 + 4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 10. Let v be (-11 + -2)*(-1 - 0). Let y be r(v). Let s(l) = l**3 + 3*l**2 + 4. Calculate s(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3*k, -20*r + 5*k = -19*r - 14 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1022 (b) -1 (c) 5 (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 11*g + 24*g - 2310 + 14*g**2 + 2276. Let d be z(-11). Round d to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9*b - 4 - b**2 + 2 - 6 - 3*b. Let p be q(6). Let g = -6 - p. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h**2 - 34*h - 17. Suppose 4*t - 18 + 154 = 0. Let o(f) = f**2 - 6*f - 3. Let v(s) = t*o(s) + 6*b(s). Let l(i) = -12*i - 486 + 486. Give v(l(n)).\nAnswer: 288*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 58574 (base 14) to base 3\nAnswer: 101221002012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**5\/12 + i**4\/12 - i**3\/3 + 24*i**2. Let x(r) = -r**2. Calculate o(c) + 6*x(c).\nAnswer: -c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 4, -3, -2238 in increasing order.\nAnswer: -2238, -55, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a centimeter in micrometers?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92679182 to the power of 1\/2, to the nearest integer?\nAnswer: 9627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2*(6\/4)\/(-3)*(-4)\/62.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -16*v**2 + 511*v + 41. Determine q(32).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2*v = -2, 6*r - v - 7 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -65527, -65498, -65469, -65440, -65411, -65382?\n\"Answer: 29*v - 65556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1073, 1147, 1221, 1295, 1369?\n\"Answer: 74*o + 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3031340 - 11?\nAnswer: -3031401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 87*z**2 + 6*z**3 - 85*z**2 - 2 + 3 + (-5 + 5 - 10*z**2)*(-3*z + 4*z - 2*z) + 8*z**3 + 16*z**3 - 11*z**3.\nAnswer: 29*z**3 + 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 + 2. Let m = -15 - -14.7. Let d = m - -0.3. What is the nearest to d in 5, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**4 + 4502226*w**2 - 15525739*w?\nAnswer: -24*w**2 + 9004452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**4\/54 + 25*i**3\/27 - 8*i**2\/3 - 6*i - 4. Factor w(q).\nAnswer: -2*(q - 24)*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1 (c) 7 (d) -13.87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((0\/3)\/(-2))\/(-1). Solve -2*h + 2*w - 14 = j, 0 = -2*w + w + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -2\/5, 15, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-218 - -226) + -18*-24*18.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4367.02989 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 54*g - 52*g - 36, -4*o + 65 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99801531113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -161, -284, -407, -530, -653?\n\"Answer: -123*o - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 305372006 to the nearest integer?\nAnswer: 17475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b + 11. Let d(w) be the second derivative of w**3\/3 - 71*w. Determine d(i(l)).\nAnswer: -6*l + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3973133 millilitres to litres.\nAnswer: 0.0003973133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -198.2 + 27.2. Let l = -171.203 - g. What is l rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/39 - (-102)\/(-156))*-76. Let p = z + -23. Which is greater: p or 14?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -705 + 680. Sort -4, j, 5 in increasing order.\nAnswer: j, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*q**2 + 54*q - 54*q + 205*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from ojjojjjombjm.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 92.61254 and 4?\nAnswer: 370.45016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2683854 and 11?\nAnswer: 29522394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/7 - 16\/(-7). Suppose -3*t + m*t = -1. Differentiate u**2 - 2*u + 2*u - t wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247 = -313*n - 327*n + 659*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 3*i + 2*i)*(13*i**3 - 2*i**3 + 3*i**3) - i**4 + 4*i**4 - 2*i**4.\nAnswer: 15*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48563 is divided by 24261.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1216062 is divided by 121602?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67717*x**2 - 67717*x**2 + 135426*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 10*x**2 - 7*x + 40. Calculate b(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 2*w**4 - w**3 - 58 - 52)*(21*w + 6*w - 5*w).\nAnswer: -44*w**5 - 22*w**4 - 1914*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -102*o**2 - 7*o - 13. Let b(h) = -50*h**2 - 3*h - 6. Give 13*b(t) - 6*r(t).\nAnswer: -38*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/16350 and 80\/80769.\nAnswer: 4038450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -295674 to the nearest one thousand.\nAnswer: -296000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - 5*f - 6*f**2 - 2*f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 43 + 18 = 0. Let u = 87 - i. What is the highest common factor of 39 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44844 is divided by 11201?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**4\/4 - 7*y**2 + 33*y - 227. List the prime factors of x(6).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.31 - 0.61. What is the closest to -1 in -5, 1\/4, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {r: 2, b: 2, m: 9, p: 1}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, u: 3, a: 4}. What is prob of sequence kka?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -49864 + 89b?\nAnswer: -48b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-238)\/(-68) - (-10)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3274590 to the nearest ten thousand.\nAnswer: -3270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 3*s**4\/4 - 63*s**3 + 684*s**2 - 2640*s + 2266. Solve p(v) = 0.\nAnswer: 4, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/499 - 1507\/2495. Sort -5, h, 2, -12 in increasing order.\nAnswer: -12, -5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 6. Let o be x(3). Suppose 0 = -4*f + o*f + 3. Let y = f - -1. Solve y*p - 8*p - 10 = j, 0 = 2*p + 4*j - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-150)\/(-22) + (-56)\/(-308). Suppose -4*c + 8 = 4*r, 5*c + 0*c - 2*r - 38 = 0. Suppose c = 7*m - 4*m. Solve -j = m*v, -5*j + 23 = -5*v - o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -5*g - 24, 4*g + 3*b + 9 + 13 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 5*i - 19, -4*i + 8*i - 20 = -4*m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -314, -475, -640, -809, -982?\nAnswer: -1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-b - 2*b + b)*(-b**2 + 0*b**2 + 3*b**2) + 4*b**3 - 3*b**3 + b**3)*(0 + 2 - 6) in the form u + k*b + z*b**2 + d*b**3 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*n**5 + 198*n**3 - 198*n**3 + 39*n**5 + (-4*n**4 - n**4 + 3*n**4)*(18*n - 77*n - 131*n).\nAnswer: 442*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6064320889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.125025 * 6.\nAnswer: -0.75015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29\/((-464)\/(-1104)) + 6. Solve -108 = 39*h - z*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2814, -5593, -8324, -11001, -13618, -16169, -18648, -21049?\n\"Answer: d**3 + 18*d**2 - 2840*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**3\/3 + 3*b**2\/2 + b - 14. Let g be y(3). Let i(w) = 7*w - 1. Determine i(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 529 - (2 - (-4 + 15\/3)). Suppose -2*a + 5*p + f = 0, 0*p - 2*p = 2*a - 514. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1, -133.76, -5 in ascending order.\nAnswer: -133.76, -5, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2017749 + 2893922. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 42348543.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-3))\/(-2)*44. Let k = x - -23. Which is the third biggest value? (a) -0.1 (b) k (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89845, -187014, -284183?\nAnswer: -381352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76181 is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 10:53 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3118*y**3 - 3124*y**3 - 3121*y**3 - 3123*y**3 + 12482*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from eeueuuueun?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150891 is divided by 553?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*w**3 - 14886 - 40*w**2 + 14886 wrt w?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-9) - (-2)\/9. Suppose -3*n - 27 = -5*u, 3 = 5*n + 23. Suppose -4*j = 5*d - 6*d + 56, -u*j - 5*d - 19 = 0. Sort j, w, 5 in increasing order.\nAnswer: j, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 22 + 8. Let z = -47 - -51. Suppose -3*q - 4*i + 373 = 0, -496 = -z*q - f*i + i. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85 * -1.8.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16166383 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.35 + -0.05. Let a(i) = -2*i**3 - 13*i**2 + 71*i - 7. Let c be a(-10). Put c, t, -5, -0.5 in decreasing order.\nAnswer: t, -0.5, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -180*j + 92*j - 2*j**2 + 110*j - 87. Let k be l(9). Which is smaller: k or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6220 and 22392?\nAnswer: 111960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 10*m**2 - 179*m - 13. Let y be p(18). Let t be (-4)\/2 - -10*1. Suppose -n = y*a + 2*n - 22, 2*a = 3*n - t. Solve j - a*j + 4*o = -17, o = -4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.24 in -4, 0.1, 3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 37498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-14 - -21) + -11 - (1 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u + 3*u + 429. Let j = 491 + u. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 919*f**2 - 41355*f - 10. Give w(45).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8134*s**3 - s**2 - s. Let j be f(-1). Let o be (-1820100)\/105 + 2\/7. Let a = j - o. Round a to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (143 - -8) + -1*1. Let u = 486 - m. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1638660500*d**3 + 824760291*d**2?\nAnswer: 9831963000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 2 - (94555 + 1). Suppose -m = 5*y + m + 118049, 4*m = 4*y + 94456. Is (-1)\/((-2)\/8 + y\/l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**5\/120 - x**4\/8 + x**3\/6 - 2*x. Let u(j) be the second derivative of b(j). List the prime factors of u(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 11*f**3 - 10*f**3 + 7 - 3. Let c be o(0). Solve -2*u - 4*l + 24 = 0, -4*l + l - 4 = -c*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1402*g - 2796*g + 1392*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 0 + 2\/3*o**3 + 17*o + 0*o**2. Let g(r) = -17*r**2. Let d(w) = -4*w**2. Let h(a) = 9*d(a) - 2*g(a). Determine s(h(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o + 15 = -19 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 148091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 6*z**2 - 4*z**2 + (3*z**2 - z**2 - 3*z**2)*(6 + 9 - 3).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.16 times 0.15?\nAnswer: 1.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/(-4) + -3*(-10 + (-200)\/(-24)). Let x = 7 + 5. Solve 0 = -c*t + 3*t - x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 55 = -4*h + 4*r, -2*r + 18 = 4*h. Let n = h + -5. Suppose -10 = n*t - 0. Which is the third smallest value? (a) -3 (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*v - 2956 + 2668. Solve 7*b - 4*b - v = 0, 25 = 3*l + 4*b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 5186*b**3\/3 - 2256*b**2 - 1267. Find the second derivative of l(h) wrt h.\nAnswer: 10372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 5*r - 4. Let d be m(6). Let z be (d - -1) + 0 + -5. Is ((-42)\/(-12))\/(z\/(-148)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 76760, 76835, 76910?\n\"Answer: 75*y + 76685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 <= 404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 1158*f**3 - 245319 + 245319 + (-4*f + 4*f - f)*(f**2 - 1 + 1) in the form i*f + g + m*f**2 + o*f**3 and give o.\nAnswer: 1157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**2 - 5*y + 17. Is 13 a factor of o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28265 - -28265.42166. What is m rounded to 3 dps?\nAnswer: 0.422","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9618982 != 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10836138287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22570 equal to -512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1400530.6 to the nearest ten thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 + 673?\nAnswer: 65d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000634 rounded to six dps?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 903 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2054, -81 in descending order.\nAnswer: -6, -81, -2054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 2*r**2 + r**2)*(r**2 - 2*r**3 - r**2) + (-4*r**2 + 2*r**4 + 4*r**2)*(r + 1 - 1) + 2*r**5 - 5*r**5 + 2*r**5.\nAnswer: 3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -9 - 18) + 3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73381*i**4 + 2*i**2 + 8*i + 32.\nAnswer: 1761144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-240)*(-3 + 147\/14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -438, -431, -314, -33, 466?\n\"Answer: 9*p**3 + p**2 - 59*p - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 617*y - 865. Does 61 divide c(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179180 divided by -6?\nAnswer: -196530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 22*l + 22. Let n(d) = 7*d + 7. Let h = -232 + 237. Calculate h*w(z) - 16*n(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.013 or -0.01073?\nAnswer: -0.01073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 57639, -1, 5, -5 in descending order.\nAnswer: 57639, 5, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + -56 - (8 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*z - 2*z + 0)*((-5 - 2 + 5)*(2*z + 3 - 3) - 7*z + z + 11*z + 3*z + z - 2*z).\nAnswer: 6*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6248 and 16?\nAnswer: 12496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 + 22. Let k = -50 - i. Solve k = 5*d - 3*y + 3, 3*y - 5 = -5*d - 32 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 3*k + 5. Is r(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.476805?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -92, -77, -78, -101, -152?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 63 + 4bb5639?\nAnswer: 4bb56a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 11 = -3*h - a, 5*h = -2*a + 28. What is the smallest common multiple of ((-54)\/4)\/((-3)\/h) and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2674\/1441 + -124\/131. Factor q*y**2 + 16\/11*y + 8\/11 + 2\/11*y**3.\nAnswer: 2*(y + 1)*(y + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 2*m + 4. Let j(t) = t - 1. Calculate -c(p) - 3*j(p).\nAnswer: -p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 15 - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 7:53 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2))**(-40))**47\/(p**7*p\/p**(-2)*(p**(1\/3))**(-1\/29)) assuming p is positive.\nAnswer: p**(326251\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 169271 or 169272?\nAnswer: 169271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 19\/27 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 11*q + 50*q - 14*q - 21*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 + c**2 - 4*c - 6. Let z be n(-4). Let x = -13 + 19. Let q be ((-4)\/x)\/(4\/z). What is the highest common factor of 153 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = q - 4, -2*m + q + 9 = 4*q. Suppose -3*b + 0*b + 19 = 2*k, -m*k = b - 18. Solve 0 = -3*x - 2*g + 3*g + 20, -x + 20 = -b*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as -1429\/11137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39096*o**4*y - 7*o**4 + 8*o**3*y**2 - 2*o**2*y**2 + 3328*o**2*y - 1609*o**2 - 16*y**2 wrt o?\nAnswer: -938304*o*y - 168*o + 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 105 or 66269?\nAnswer: 66269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 55. Let p = -20 - z. Which is the third biggest value? (a) p (b) 0.04 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -14*a. Let h(k) = 7*k. Determine 7*h(b) + 3*l(b).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + ((-4)\/(-4) - -4). What is the hundreds digit of (-20)\/(-25)*3580\/i - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -11. Factor 14*s**4 - 3*s + 9*s + 27*s**3 - 18*s**2 + s**4 + 3*s**5 + 39*s**j.\nAnswer: 3*s*(s + 1)**3*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2697 - -2697. Solve -6 = 3*f + 3*g, z = 4*f + 7*g - 5*g + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 13. Let z = 345 + -344. What is the closest to z in j, 2\/9, -3\/65, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/16 - -3*1. Let n(g) = g**3 - 25*g**2 + 83*g + 21. Let y be n(21). Solve -2*h = y, -2*m + u*h = 3*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*c = -35, 5*p + 6*c - 57 = 6 - 105 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3997*g**6 + 42*g**2 - 11*g + 10 wrt g?\nAnswer: -479640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132, -2, 2, -4, -44, 11, -1 in ascending order.\nAnswer: -132, -44, -4, -2, -1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641191173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 h when three letters picked without replacement from {h: 11, j: 5}?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -54680724 equal to -54680725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -587, -1051, -1593?\nAnswer: -2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 1828 = -1798. Solve 19 = -4*o - 2*y + 7, -12 = h*o + 4*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*b - 3. Let z(s) = b - s - 3 - 1. Calculate z(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 1. Let g(u) = u**2 - 18*u - 15. Let h(r) = -g(r) - 2*i(r). Let x = -726 + 736. List the prime factors of h(x).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -41, -73, -97, -107, -97?\n\"Answer: o**3 - 2*o**2 - 33*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.01607 rounded to zero decimal places?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 6. Let k be q(-4). Sort 0, k, -3, 2 in decreasing order.\nAnswer: 2, 0, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsxxxssvxxxgxsxsxsts. Give prob of picking 1 g, 1 x, 1 v, and 1 s.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-10 - -4)) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3184, 3950, 5226, 7012, 9308, 12114, 15430?\nAnswer: 19256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - n + 24. Solve o + 1 = -n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4319 + 0.78171065.\nAnswer: -4318.21828935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02662 > 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 1899*k**2 + 31*k - 381. Is u(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6165, -3661, 3129, 16347, 38135, 70635?\n\"Answer: 357*x**3 + x**2 + 2*x - 6525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 12 = 3*l. Let x(q) = 42*q**2 - 12*q**2 - 2*q + 3*q - 5 + l*q. Is x(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -a + 13, 3*a = 832*v - 830*v + 19 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -189 - -193. What is the closest to 2\/5 in 0.4, -0.5, a, -4\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*-2*(-1)\/16*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**3 + n**2 - 17*n + 15. Calculate the remainder when 73 is divided by g(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3932812993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4054 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 551994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(104)*3)\/(-5*sqrt(56)\/sqrt(7)).\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 296*p + 20853. Give n(181).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -273*u - 1637. Let i be p(-6). Which is greater: i or 2\/20903?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 33 - (1 - 0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 8:45 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -455 + 464. Solve -5 = 2*d - 4*s - o, 2*d = 5*s + 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 2, -4, 3 in descending order.\nAnswer: 5, 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j - 1. Suppose -36 = -4*r - 36. Let x(i) be the second derivative of r*i**2 + i - 1\/6*i**3 + 0. Calculate 4*x(u) - z(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m + 520*m**2 + 524*m**2 - 1045*m**2.\nAnswer: -m**2 - 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1093522 and 11957?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 189*x + 190. Let m be w(-1). What is the nearest to -0.02 in 2, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -11. Let l = m + -10. Let q(b) = -2*b + 1. Let h be q(l). Is 6 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 93*j**2 - 6*j - 564. Let g(b) = 17*b**2 - b - 113. Calculate 22*g(n) - 4*z(n).\nAnswer: 2*n**2 + 2*n - 230","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608960 divided by 1257?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/1285104 and 19\/4141?\nAnswer: 129795504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 2*l + 4. Which is smaller: -29 or l?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -505338.75 to the nearest 100.\nAnswer: -505300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -1.4053666?\nAnswer: -3.4053666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**4\/54 - 2*x**3\/9 + x**2 - 6*x + 1. Let m(s) be the first derivative of v(s). Determine p, given that m(p) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in centuries?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -eaaf + 6c05?\nAnswer: -7eaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 4*t**3\/3 + 3*t**2\/2 - 5*t - 2. Is p(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2233113 + 1011?\nAnswer: 2300130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20868 divided by -111.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 14*p**2 - 2*p + 15. Let c be i(-2). Calculate the highest common divisor of 250 and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 32*w**3 + 4*w**2 - w - 2. Is m(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - j + 27. Let i = 50 + 19. Suppose -i = -4*w - 9. What is the remainder when w is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 112\/1071 - (48\/(-51))\/8. Let y = -402 - -393. What is the second biggest value in y, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2407088 millimeters in kilometers?\nAnswer: 0.0000002407088","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d**2 - 2*d + 1. Let q be 1\/2*(6 - 4). What are the prime factors of o(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2. Let q(p) = 10*p - 49. Let w be q(14). Let y = w - 89. Let r(m) = -m**y + 5*m**2 - 2*m**2. Give r(s(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2182*t**2. Let x(s) = 9*s**2. Determine x(b(f)).\nAnswer: 42850116*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2\/125 of a tonne?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 273 (b) 1 (c) 4\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssssyssssssss. Give prob of picking 1 y and 1 s.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z - 20. Suppose 2*s - q - 14 = 3*q, -4*s - 4*q = -z. Solve 0 = s*w - 7*w + 20, 5*w - 31 = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*y**2 - 114*y**2 + 3*y**3 + 88*y**2 + 289*y + 1 to the form z*y**2 + v + a*y + o*y**3 and give a.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 169296.3\nAnswer: -507888.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/8 - 0)*174\/13195. Which is bigger: -0.4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d + 2*d)*(4 - 2 + 0) + 3609*d + 0 + 61 - 61.\nAnswer: 3607*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 841 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 10\/360453?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3729425*n**3*y**3 - n**2*y**3 - 2*n**2*y - 2*n**2 + 5*n*y**2 - 3307*n*y wrt n.\nAnswer: -22376550*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2187 (b) -1\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -271 - -380. What are the prime factors of n?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -1. Let t be (-114)\/(-1 - (-4)\/12). Let m = t - 166. Put m, -2, x, -1 in decreasing order.\nAnswer: m, -1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31278177?\nAnswer: 3, 7, 61, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (131\/((-46767)\/54))\/((-9)\/14).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40528475 or 40528473?\nAnswer: 40528475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 199529 and 76109.\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhn when three letters picked without replacement from hhnnhhhhnhnhn?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -11 + (-44)\/33*-24. Let x(n) = -n**2 + 19*n + 45. Calculate x(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/55)\/(99\/60)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 11:20 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66775533 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 0 - -3)*6\/18. Let o = -12.5 + 13. Let n = 5.3 + -5.8. Which is the fourth biggest value? (a) o (b) n (c) 4\/7 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 228 + 83 + 75 + 70 + 4*u**2 - 5*u**2.\nAnswer: -u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/8 + 3*o**3 + 143*o**2\/8 + 15*o.\nAnswer: o*(o + 1)*(o + 8)*(o + 15)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 10*o + 9. Let k be t(8). Let w = -5 - k. Let q(a) = 4 + 4*a - 3*a - w*a. What is q(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3713*j - 848. Is f(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-1) - 7)\/1. Let o(l) = 2*l**2 + 6*l - 2. Calculate the remainder when o(b) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2. Let x(o) be the first derivative of -o**4\/6 + 32*o**3\/3 - 4*o + 18. Let j(c) be the first derivative of x(c). Calculate t(j(m)).\nAnswer: -8*m**4 + 512*m**3 - 8192*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*r + 0*r - 88 = 0, -3*q - 2*r + 66 = 0. Suppose g - 4*x + 8*x - q = 0, 3*x - 195 = -5*g. Suppose -s = 13*s - g. Sort 1, s, -5, 4.\nAnswer: -5, 1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**4 + 17920*f**3 - 15876120*f**2 - 322918400*f - 1623602000 = 0. What is f?\nAnswer: -10, 1802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/o**(-2)*o)**(-31))**(-44)\/(((o*o**1*o)\/o)**(-6)\/(o**1\/o)**46) assuming o is positive.\nAnswer: o**8196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 3844359\nAnswer: -3844359.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 8 + 698\/(-295) + 18\/(-30).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 32742\/1938)\/(4\/(-3))?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 907230527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/3)\/1)\/((-28)\/(-42))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 127*n**6 + 0*n**2 - 18*n + 103*n + 2*n**2 + 0*n**2 + 0*n**2 wrt n.\nAnswer: 15240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 5\/9, -2, -20505?\nAnswer: -20505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885 is divided by 152.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 64 = 5*f, -v - 4*v + 109 = -f. Let x = 6 + -3. Suppose v = x*y - 15. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24373673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*z - 114, -110 = -4*z - 3*p + 42. Suppose -2*y - 31 = -4*n + 151, 0 = -n - 2*y + z. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 1:19 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 604151 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -156a86 + -17?\nAnswer: -156aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 534*t - 3635 = -180*t + 3505 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**5)\/c*c*c\/(c\/(c\/(c*c**0\/c)*c))*c)\/((c\/c**(2\/11))\/(c*(c*c\/c**8)\/c)) assuming c is positive.\nAnswer: c**(24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -38226.18?\nAnswer: -38226.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -4. Calculate the remainder when 123\/15 + 3\/(-15) is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) -78 (c) 6.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 + 113.9. Let w = -0.298198 - -20.186898. Let u = w - s. Round u to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10)*(325\/30)\/13.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 - 6*o**2 + 14*o - 23. Determine p(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043 a factor of 51992507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -991.7 + 999.7. Let v = -12 + 7. Which is the nearest to y? (a) 0.2 (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3139405, 6278811, 9418217, 12557623, 15697029?\n\"Answer: 3139406*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -529 and 10?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*b*f**3 + 220*b*f**2 + b*f - 197*f**3 wrt f.\nAnswer: -54*b - 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -179*b - 172 wrt b.\nAnswer: -179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 3*q + 72, -4*q + 2648 = -5*g + 2835 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9913*b + 298014 + 260577 = -78290 + 22275 for b.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 11) in base 16?\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 209893.207 less than -0.06?\nAnswer: -209893.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 1. Let y be b(-2). Let z = 1974 - 1962. Calculate the remainder when 102 is divided by (-7)\/((-7)\/z) - y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9 - -164456406?\nAnswer: 164456400.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42402 - -14243440?\nAnswer: 14201033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -306, 1, -1, -29, -41 in descending order.\nAnswer: 1, -1, -5, -29, -41, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.29 + 1.49. Which is the closest to 1? (a) m (b) 0.5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**7)\/c)\/(c*c\/c**(-3\/4))*((c\/(c\/c**(-1\/2))*c)\/c)**(1\/2))\/((c**(1\/3)*c)**(-9\/13)*(c\/c**(4\/3))\/c**1) assuming c is positive.\nAnswer: c**(244\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fflf when four letters picked without replacement from {f: 15, l: 4}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079842 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/118 + 3139\/1416. Calculate the common denominator of o and 209\/1260.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -988.7 rounded to the nearest 10?\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.695 + -0.195. Let d = -5 + 3. Let l = 1 + d. What is the nearest to l in -0.2, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 264*a**2 - 55*a + 443. Is k(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z + 29 = -7. Let o(w) = w + 1. Let x be o(-4). Sort x, z, 3.\nAnswer: x, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2. Let c(k) be the third derivative of -k**7\/1260 - 7*k**4\/24 - 8*k**2. Let q(p) be the second derivative of c(p). What is h(q(u))?\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2890)\/(-75))\/17*((-5)\/(-20))\/((-5)\/(-60))\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 153327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 4\/(-6) - (-434)\/(-6). Let u be -2 + (3 - (r + 4)). List the prime factors of u*(-2)\/(-9)*6.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 166643965 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 474 a factor of 1604016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/25)\/(3\/120). Suppose -z = 5*m - 16, j = -0*z + 2*z + 2*m. Solve -2*q - 3*t = 7, -3*q = 5*t + 4 + z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - -85. What is the remainder when n is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/63014 and 47\/1176.\nAnswer: 756168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6*(-10)\/(-90))\/6)\/((-4)\/(-24))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549388129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -5*q**4\/24 + q**2 - 42*q + 27. Let h(s) be the second derivative of g(s). Let f(x) = -20*x**2. Determine f(h(m)).\nAnswer: -500*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 922380 - 504794. Let t be (-2)\/4 + r\/4. Let m be 6\/27 + 0 - t\/(-18). What is m rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c**4 - 60 - 74*c**3 - 80 + 140 - 72*c + 120*c**2 - 2*c**5 = 0. What is c?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 407, 817, 1231, 1649, 2071, 2497, 2927?\nAnswer: 3361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*t - 70, -j + 4*t = j - 40. What is the least common multiple of j and 64?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 11. Let d be a(9). Let i = d - -5. What is the second derivative of n**3 + 6*n**i + 0*n**3 - 4*n - 5*n**3 wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01266 and 7831.\nAnswer: -99.14046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 424, 856, 1278, 1684, 2068, 2424?\nAnswer: 2746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9092 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 3*t**2 - t - 1. Let h(c) = -7*c**3 - 18*c**2 - 4*c + 105. Let x(k) = 4*f(k) - h(k). Differentiate x(y) wrt y.\nAnswer: 9*y**2 + 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5189505 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/10)\/((-6)\/(-5381)). Let j = 433\/5 + t. Calculate the common denominator of -4*(-36)\/16 - (-232)\/145 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.36 - 0.63. Let z = b + 0.17. Put 0, z, 0.2 in descending order.\nAnswer: 0.2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 135 = 102. Let b be -3 + 28\/12 - 11\/x. Solve b*r + 15 = 5*v - 0*r, -4*v - 2*r - 10 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2144 = -83*j + 2144 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2\/2 + 420723*c + 2524284 = 0. What is c?\nAnswer: -280476, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/153 - -14\/51. Sort 4, 0.22, -4, -1\/12, o in increasing order.\nAnswer: -4, -1\/12, 0.22, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(128) + 2.\nAnswer: -3 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -56122336*x**4 - 48714190?\nAnswer: -224489344*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 16. Suppose 61756 - 61822 = -11*q. Calculate the highest common factor of q and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 32480?\nAnswer: 32480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 21*o - 93. Suppose -4 - 4 = 2*m, 4*w = 2*m + 48. Suppose -o*x - 1035 = -w*x. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from 32.4993334569.\nAnswer: 38.4993334569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(10\/7))\/(s*s**3\/s*s))\/(s\/s**(-3\/2))**16 assuming s is positive.\nAnswer: s**(-311\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231647802.\nAnswer: 2, 3, 4073, 9479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 86 - 4. Let o = s - 43. Let p be 9\/o*(-12)\/9. What is the highest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 857 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -797860?\nAnswer: -797861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -91, 145, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1278 and 678.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 + -34. Suppose p - b = 15. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 2*z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 at least as big as 2\/111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 17*q**2 - 48*q + 284. What is o(15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14456462 and 824.\nAnswer: 57825848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/2719 or -901?\nAnswer: -901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, v: 1, j: 1, k: 1}. What is prob of sequence kxv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1419 = -7*b + 10684. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*m**2 - 60*m**2 + 42*m**2 + (-4*m - m + 3*m)*(-3 + 2 - 6)*(0 + 0 + 1)*(-91 + 10*m + 91).\nAnswer: 177*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 8. Let i(s) = s**2 + 53*s + 291. Let r be i(-47). What is the closest to k in r, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -7*x + 3*x, -5*w + 85 = -5*x. What is the lowest common multiple of 20 and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 4*a**3 + 123 - a**3 - 107 + 7*a to j*a**2 + c*a + s*a**3 + w and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 4 + 9 = 21*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -708, -1367, -1984, -2535, -2996, -3343, -3552?\nAnswer: -3599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 229 + m**2 - 509 + 9*m + 100. Let h be d(-28). Calculate the greatest common factor of h and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43*j**2 - 5552*j - 165309 wrt j?\nAnswer: 86*j - 5552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**4 + 220*c**3 - 1215*c**2 + 530*c + 1960 = 0.\nAnswer: -49, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 17 = -0*v - 27*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*k - 4*l - 3, -5*k + 4*l + 15 = 0. Let s be ((-8)\/(-12))\/((-26)\/6). Put s, 0.5, k in descending order.\nAnswer: k, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125122 and 5767610?\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633622 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*x + 34 = 0, -5*c + 38 - 8 = 3*x. Suppose c*a - 4*u - 22 = -4, -a - u = 1. Suppose 0 + 8 = a*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -777*w + 20. Suppose 0 = -9*g + 13*g + 24. Is a(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d = 4*p + 27*d - 25845, d + 6465 = p. Does 76 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1534 divided by -51578?\nAnswer: 767\/25789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003775714 to 7 dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 43. Let r(n) = -5*n**2 + 5*n - 2. Let o(k) = 6*k**2 - 6*k + 2. Let c = -49 + 45. Calculate c*o(z) + w*r(z).\nAnswer: z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*q - 7220 = -244*q - 71*q for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -14c5?\nAnswer: -14c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18562163?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85372 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 4:59 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3*y + 9 = -2*x + 11*x, -39*y = -x + 117 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 3*i + 5*i)*(-4 + 5 - 2)*(378 + 861*i**2 - 378).\nAnswer: 861*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (870\/(-570))\/((-2929)\/606)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 2\/3*z - 116 + 1\/3*z**3 + 3\/2*z**2 - 1\/3*z**4. Factor n(a).\nAnswer: -(a - 2)*(a + 1)*(4*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1027 divide 8630908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76424 and 152848.\nAnswer: 152848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 20*f**2 + 8*f - 85. Calculate the least common multiple of 55 and v(20).\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38587 and 1?\nAnswer: 38587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/8)\/((-1)\/(-4)). Suppose 4*k + 3*u = -u, 0 = 4*k + 3*u - 1. Does 2 divide 15*-3*k\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 11:18 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*m + 14*m + 10*m + (2 - 2 + m)*(1 + 1 - 1) + 2*m - 4 + 4.\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 772 + -655. Suppose 2*l = -5*n + 65, 2*n = 4*l - 31 - 39. What is the remainder when b is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.18 (b) -4\/7 (c) -0.1 (d) 3 (e) 5 (f) -1\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 57. Let d be i(-27). Solve -v - 2 = -0*m + m, -d*v + 2*m - 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 9:15 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*k)*(-1 - 3 - 83817*k**2 + 83887*k**2).\nAnswer: 210*k**3 - 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 108*a**2 + 3 - 2 - 108*a**2 - 21*a**3 to the form z + b*a**3 + t*a + x*a**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3654?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/54392 and -63\/5737310?\nAnswer: 298340120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 123081303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w. Let m = 6 + 0. Let f(c) = -4*c - 4*c - 2*c + 5*c. Let t(r) = -9*r**3 - 22*r**2 - 12*r - 3. Let d be t(-2). Give d*f(k) + m*i(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -674*l**2 + 353*l**2 + 355*l**2.\nAnswer: 34*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 24. Suppose 43 = 3*v - 5*p, -v + k*v - 15 = p. Suppose -5*j + 307 = -4*d, 4*d - v = -3*j + 181. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p + 0*p + 10*p**3 - 7*p**3.\nAnswer: 3*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 12:02 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/427490 and 97\/35460.\nAnswer: 7694820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 4 = -9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*v**3 - b*v**2 + b*v + 52*b + 111*v**3 + 22*v**2 + 1297*v - 1 wrt v.\nAnswer: 6*b*v - 2*b + 666*v + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-18) - 569\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39.62 + 0.62. Let n = k - -39.025. Round n to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 + -104. Let a = 572 + n. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiqqqqdtqt. Give prob of picking 1 d and 1 i.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.73 or 1118423?\nAnswer: 1118423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45127?\nAnswer: 45127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1575 and 36.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/4)\/((-2)\/8). Suppose -2*a - 4*a - 6*a - 12 - c*a**2 = 0. What is a?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 42. Let n = z + -4. What is the greatest common divisor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 10:08 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3 + 94*x**2 + 18480*x + 462168 = 0. What is x?\nAnswer: -42, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 11:07 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -206\/292641 or -1?\nAnswer: -206\/292641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -353\/4 - -89. Let r = 3 - 3. Put -2\/19, l, r in descending order.\nAnswer: l, r, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 7:23 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.63 to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r**2. Let c(w) = -2345*w**2 - 12*w. Let v(d) = -4690*d**2 - 27*d. Let j(z) = 9*c(z) - 4*v(z). Calculate j(i(l)).\nAnswer: -114905*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140269 - 80952. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -2446*f + 2449*f + 5*h, -5*f - 5*h = 75. Put 1, 2, 19, -5, f in decreasing order.\nAnswer: 19, 2, 1, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**2\/3 - 479671280*v\/3 + 11504226842841920\/3 = 0. Calculate v.\nAnswer: 47967128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8))\/((-15)\/(-20))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203.6585 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9245771859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 45 + 16 = 4*q, -3*l = -q + 28. Calculate the remainder when 35 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -24, -99, 5, -3, -1 in decreasing order.\nAnswer: 5, 0, -1, -3, -24, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (sqrt(539) + -1*sqrt(539) - sqrt(539) - sqrt(539)))*6)**2.\nAnswer: 174636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 2. Suppose 5*c + h = 87. Suppose 17 + c = 3*s. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2874607 = 152*n - 7269417. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from {e: 2, b: 1, m: 2, d: 4, a: 3}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2\/13 - 14558994*i\/13 - 116472080\/13 = 0?\nAnswer: -8, 7279505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15750792 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 0.2, 14, 6, -2\/13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41141284 + 41141286.0000003. Let n = -2.7 - -0.7. Let s = r + n. Round s to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ote when three letters picked without replacement from {o: 2, c: 1, t: 1, d: 1, p: 1, e: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovttvx. Give prob of sequence xvv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10210007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2403734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -81b123 + 17?\nAnswer: -81b10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 8*f + 8 = 0, 0 = 2*b - 3*f - 76. Calculate the remainder when 733 is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49535713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (11 - 20) + 27 - 67) + 6.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -2 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -16385*o + 315. Let z(i) = -1365*i + 26. Give -7*h(t) + 85*z(t).\nAnswer: -1330*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.06952065 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 0. Calculate the smallest common multiple of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1\/3 (c) -173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*j + j - 5*h, 10 = -3*j + 2*h. Let c be (j\/(-4))\/((-2)\/(-8)). Factor 2*a**c - 6*a**4 - a**5 + 5*a**5 + 0*a**2.\nAnswer: 2*a**2*(a - 1)**2*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 7*n - 5. Let t be o(6). Suppose 4*l + t + 3 = s, 20 = 5*s + l. Which is the second smallest value? (a) 3\/4 (b) s (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 5*p - 4. Let f be b(5). Let l be 7 + f - (-1 + 2). Suppose -l*q - n + 12 = -2, -22 = -2*q - 3*n. Sort -4, -1, q.\nAnswer: -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 47*y - 70. Let o be l(8). Let g be (12\/(-5))\/(o\/45 - 3). Is g > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*j**2*n*y - 4*j**2*n - j**2*y - 51*j**2 - 2*j*n*y - 3*j*y + 4981*j wrt j.\nAnswer: 16*n*y - 8*n - 2*y - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*j**3 - 33*j**3 - 45*j**3)*(6*j + 3*j - j) as x*j**3 + u*j**2 + m + v*j + o*j**4 and give o.\nAnswer: -712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10206 minus -0.02317514193?\nAnswer: 10206.02317514193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - ((2 - 2) + 8). Let t(q) = -13*q + 10. Let y be t(b). Let u = -703\/7 + y. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117151944 divided by 117151944.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8036 - -8033.3752. Let t = 2.6 + r. Let z = t + -0.2082. Round z to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k - 28. Calculate the smallest common multiple of (-14)\/(-1) + (-6 - -4) and j(-12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 409*n - 400*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than -7.1?\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88988619.\nAnswer: 3, 191, 155303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*y = -18, 18*g = 19*g + 3*y + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - -24. Let d = h + -19. Calculate the highest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5376*m**3 + 5714*m - 2.\nAnswer: -32256*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 15*d - 23. Let x(f) = 7*f - 11. Let g(l) = 6*v(l) - 13*x(l). Let w be g(0). Put 2, w, 1 in ascending order.\nAnswer: 1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18552 divided by -773?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76485587*-2.\nAnswer: 152971174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -174700 take away -9.3?\nAnswer: -174690.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 12, 23.6?\nAnswer: 23.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7974 to the nearest 100.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3887 - 2522 = 171*v - 3598 - 11111 for v.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31399706 a multiple of 854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2543189 and 1618393?\nAnswer: 17802323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -20*q**2 + 17*q + 6. Suppose -3*p + 26 = 8. Let c(i) be the second derivative of -7*i**4\/12 + i**3 + i**2 + 12*i + 4. Give p*d(j) - 17*c(j).\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -952, 10575, 41860, 102779, 203208, 353023?\nAnswer: 562100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(-6)\/36 - (-14)\/3. Suppose p*z - z - 15 = -4*r, 5*r = 2*z + 13. Let a(j) be the second derivative of 7*j**3\/6 - j**2\/2 + j. Calculate a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 21. Suppose -12 = -d*s - 0. Differentiate -s - 2 - 2 + 20 - 10*h**3 with respect to h.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 14 = 50. Suppose 0 = 5*w + 3*v - 67, -3*w + 2*w - 2*v + 12 = 0. Let s = n + w. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**24*c\/(c**1\/c)*c**1\/c assuming c is positive.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2 - (-5 + 0 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) -2\/7 (c) -2 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 93138212\/17 or 5478719?\nAnswer: 5478719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(-41)*(j*j**9)\/(j\/(j\/j**7)))\/(j**(-9)\/j**(-1\/5))**18 assuming j is positive.\nAnswer: j**(807\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 540.6 - 541. What is the smallest value in 5, -296, i?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:45 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653 = 6*v - 61. Let i = -39 + v. Calculate the least common multiple of 180 and i.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, g: 1, v: 2, f: 3, h: 4}. Give prob of sequence fvhl.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1144 != -1143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + -4 + 9 + 4 - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3, 3*b - 3*y - 129 = -y. Let z = b - 35. Solve -x + z = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 94)*7\/14. Suppose t - h = -4*x, -3*t + 3*x = t - 93. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 5*t + 21, -2*t + 6 = 5*o + t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -3, 299, 5, -127 in ascending order.\nAnswer: -127, -4, -3, 0, 5, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73768 + 90969. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1294\/438225?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*w + 33*c + 459, 5*w - c + c = -c - 0*c - 99 + 24 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -269 - -268.6. Let u = 0.014 - -25.986. What is the second biggest value in -2, u, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 2:44 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*g + 4 + 21, 4*i - 4 = 0. Factor -30*o + 4*o**2 - g*o**2 - 4*o**2 - 45 + 4*o**2.\nAnswer: -5*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713463.\nAnswer: 3, 237821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12915 by -35.\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2002 + 2002 + a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 1166 = -4*p - 1126, -3*p = -3*t - 33 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - 5. Let g = 0 + 11. Let i = 14 - g. Let a(d) = 2*d - 4. What is i*n(f) - 4*a(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 271*m**2 - 19*m + 5. Let x be a(9). Suppose -33*n + x = -1381. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1771847.\nAnswer: 7, 11, 23011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*p + 1)*((5 - 11 + 12)*(-1 + 2 + 4) - 3 + 3 - 2 + (0 + 1 - 2)*(0 + 0 + 1)).\nAnswer: 54*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48384, -95535, -142686, -189837, -236988, -284139?\nAnswer: -331290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.9, 13, -3, 0.1 in descending order.\nAnswer: 13, 3.9, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11.3? (a) -1 (b) -0.4 (c) -0.1 (d) 439 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36096077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.4 + 36.1. Let l = f + -136.7. Let d = -110.1 - l. Round d to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*f - 197 + 337*f + 211*f**2.\nAnswer: 211*f**2 - 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 - 5*d + 6. Let n(l) = l - 1. Let p(w) = w + 10. Let b be p(0). Let y be (0 + 1)\/(b\/9 - 1). Let o be 2*(y\/2 - 4). Give o*i(t) + 5*n(t).\nAnswer: 3*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535*y - 20103 - 16237 = -255*y for y.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbtbtbbtbbbb. What is prob of sequence bb?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112022 + -1210211?\nAnswer: 2201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*r - 1490, 3*r - 92 = -w + 210. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 12187365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*(-11)\/572*6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 9288 (c) -3\/7 (d) 26 (e) 0 (f) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**29*((f*f**(-7))\/f)\/(f*f**5*f) assuming f is positive.\nAnswer: f**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, o: 5, u: 4}. Give prob of picking 2 o and 1 i.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -6, 2*x + 186 = q - 19. Suppose -2*g = -g - q. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5282*l**2 - 4*l. Let d be q(-6). Let g be (2\/8 + 73\/(-4))*5732. Let s = g + d. What is s rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*i + 25, 0 = 4*i - 6*i - 10. Suppose 4*v + m*t = 0, -2*t = -v + 3*v. Solve -7 = -2*h - r, -3*h + v + 12 = 3*r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 318 and 207336?\nAnswer: 207336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.171, 0.5, 3\/5, -15\/7, -5, 80.6?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1879563 divided by 2419?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -6079871?\nAnswer: -6079871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 - 10*w**4 + w**4)*(3*w - w + 3*w) + (3*w - 14*w - 7*w)*(2*w**4 - w**4 - 2*w**4).\nAnswer: -42*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -15. Let y be 80\/14 + 4\/z. Solve 3*r + 0*r = -y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 10:52 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*u - 27*u + 31294951. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.09 or -1\/4340?\nAnswer: -1\/4340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b**5\/b)\/b)\/b)*b**(-3\/5)*(b**(-1\/2))**(-2\/3))\/((b\/(b\/(b*b**2*b)))\/(b**3*b))**(1\/29) assuming b is positive.\nAnswer: b**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/119331 and 61\/30.\nAnswer: 1193310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725111.\nAnswer: 725111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6631 = -7*v - 12*v. Suppose 6*z + v = 2503. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 + x + 2. Let t(i) = -9*i**2 - 3*i - 11. Let p(n) = 10*n**2 + 3*n + 10. Let b(z) = -4*p(z) - 3*t(z). Calculate -2*b(w) - 7*q(w).\nAnswer: -2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 15, z: 3, r: 2}. What is prob of picking 1 r and 1 z?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7660 + -61203\/8. What is the common denominator of 38\/(-96)*(-5 + 14) and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2995347 by -4.\nAnswer: 2995347\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10790233 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c\/(c*c\/c**(3\/4)*c)))*c\/c**(2\/7)*c*c**(-4)*c**(-2\/5) assuming c is positive.\nAnswer: c**(-551\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 3*j + 5*n, -3*j + 500*n - 501*n = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -65*k + 2658. Calculate t(41).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**5\/4 + l**4\/6 + 2*l**3\/3 - 2*l**2 - 1073*l. What is r(2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -42*d + 21. Let s(p) = p**2. What is j(s(r))?\nAnswer: -42*r**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*s**3 + 89*s**3 - 130315 + 130315.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/84453 and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124769 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2\/15*q**3 - 6*q - 8\/5*q**2 - 20\/3 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 17*r**2 + 3*r + 20. Let c be g(-17). Let t = c - -30. Sort -7, 5, t, 3.\nAnswer: -7, t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.248754 millennia?\nAnswer: 42.48754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -11, -50, 21.\nAnswer: -50, -11, -3, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t = 22*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.7 + -8. Let r = -0.086 - -0.011. Let v = r + -3.925. Which is bigger: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_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 q(h) = -2*h + 30. Let d be q(14). Factor 2*b**2 + b**2 + b**2 - b**d.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1209*t + 184120 = -1204*t - 5*f, -5*t - 5*f = -184070. List the prime factors of t.\nAnswer: 3, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-33) + 356\/22. Solve -5*t = -t + s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -9*t**2 + 4. Let h(v) = 27*v**2 - 11. Let d = -935 - -918. Determine d*j(w) - 6*h(w).\nAnswer: -9*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 10*h + 29. Suppose s = -4*i + 5*s + 79768, 5*i - s - 99698 = h. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -57096, -57145, -57194, -57243, -57292?\n\"Answer: -49*b - 57047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p = 32*p - 154. Let f(r) = -r**2 + 20*r + 47. Let q be f(p). Solve -b + 4*v - 2 = q*v, 3*v = 4*b + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (27\/6)\/((-3)\/4). Let l = 10 + h. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 83\/4 - 8\/(192\/18). Let q = 50 - w. Let p = -10 - -20. What is the highest common factor of q and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssbasdsdsf. What is prob of sequence ab?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10\/7 + 15*r**3 + 9\/7*r**4 + 71\/7*r + 157\/7*r**2 = 0 for r.\nAnswer: -10, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 973128 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 220?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 10, 32, 68, 124, 206, 320, 472?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.2 + -0.2. Let f = 3 + h. Suppose 5*b = -4*j + 1, 10*b + 2 = -4*j + 8*b. Which is smaller: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3797 - -13168. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35564001.\nAnswer: 3, 11, 1077697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, 3, 5, 2 in decreasing order.\nAnswer: 5, 3, 2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 402*o - 866*o - 2882*o in the form h*o + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865472077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4728? (a) 420 (b) -2\/13 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**6\/288 + b**5\/160 + b**4\/48 + b**3\/2 - b. Let o(m) be the second derivative of u(m). Let o(v) = 0. Calculate v.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3 = -d, 0 = p + 4*d - 1. Suppose p*x = 3*x + 40. Suppose 0 = -0*u - u + x. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*b**3 + 65767 + 113*b**3 - 65766.\nAnswer: -22*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 0*w**4 + 2*w**2 + 0*w**3 + 1\/60*w**5 + 0*w + 0. Let a(c) = -2*c**2 - 2*c**2 + 2*c**2. Calculate n(a(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/5 (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**3\/3 - 11*t**2\/2 + 13*t. Let d be i(-7). Suppose -a = -7 - d. What is the remainder when 39 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 5. Let b be z(-3). Suppose 3*l = -c + l + 26, 0 = c - 2*l - 14. Let r be 4\/(-3)*(-15)\/c. What is the highest common divisor of b and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99256 and 320264?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, c: 1, g: 2, f: 3}. Give prob of picking 3 f and 1 c.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 131135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*t = 0, -2*t = 2*i + 10 - 22. Suppose 18 - i = 3*x. Suppose -q + 432 = x*q. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -83 + 34 + 32 - 2*k. Let h be a(-12). Suppose -h*y + 2*y + 35 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 765093220 to the power of 1\/3, to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, t: 3, w: 2}. Give prob of picking 2 t.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, n: 4, g: 2}. Give prob of picking 1 n and 1 g.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k**3 - k**2 + k + 1. Let s be i(-1). Suppose -4*m - 3 = -s. Sort m, -2, 3 in descending order.\nAnswer: 3, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 503460 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f*f\/f**(-4)*f*f)**(3\/11)\/(f**(2\/9)*f**1*(f*f**(1\/2)\/f*f)\/(((f*(f**(2\/7)\/f)\/f)\/f)\/f)) assuming f is positive.\nAnswer: f**(-5267\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 124\nAnswer: -5\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05730008 - -0.05782. What is w rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from {k: 1, p: 1, x: 5, j: 1, l: 9, r: 1}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-6))\/((-120)\/(-30960)*43)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21776, 43804, 65832, 87860?\nAnswer: 109888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oolld. Give prob of sequence dl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 16. What is the common denominator of -64\/45 and 21\/165 + (t\/5 - 2)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**5\/10 + 26*l**2 - 69*l. Let s(d) = 730*d. What is i(s(c))?\nAnswer: -3197400*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m. Suppose -s = -5*g + 13, 0 = -g + 2*g + 5*s + 13. Let t(i) be the first derivative of -2\/3*i**3 + 0*i + 0*i**g - 7. What is t(u(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -39, -3, 5?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1770372 and 16?\nAnswer: 7081488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(12\/(-20)*(1 + 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*1 - (-8 - 2\/(-1)). Suppose 7*n + 4*t = 2*n + 25, 0 = l*n + 2*t - 25. Find the second derivative of -h**2 - 7*h + h**2 + 35*h + n*h**3 wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 903 and 282807?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0302491 rounded to four dps?\nAnswer: -0.0302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41029*f + 41029*f - 2*f**2 - 41930*f**3.\nAnswer: -41930*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (70\/8 - 4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 l when four letters picked without replacement from nnlrnnnlnrnnnnr.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8)*(-4 - -4))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -8.2, -5, 0.02?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = l - 3258054 - 4682292, 0 = -2*l - 4*y + 15880622. Suppose -4*u + 2459679 + l = 0. Round u to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 14773*n - 18 + 11 + 6 + 3*n**2 + 3.\nAnswer: 2*n**2 + 14773*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i - 104 + 134 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276728377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41932 = 1516*t + 20864 - 42604 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -500 greater than or equal to -501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o**(-9))\/o*o)*o*o*o*(o*o*o\/(o\/(o**(-15)\/o)*o)*o)\/o*o)**28)**(6\/25) assuming o is positive.\nAnswer: o**(-336\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-6 - -3 - -9 - 2) + -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 2*u**2 + 3*u + 4. Determine n(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 9) to base 11\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 3439195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, 97, 719, 1935, 3943, 6941?\nAnswer: 11127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.31241 tonnes to micrograms.\nAnswer: 77312410000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-20)\/3)*(-10)\/(-1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 44674?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20671, -82895, -186671, -331999, -518879, -747311, -1017295?\n\"Answer: -20776*k**2 + 104*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/198 and -8\/1309.\nAnswer: 23562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 14 + o**2 - 27 - 33 + 32 + 7*o as c*o + j*o**2 + q and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 4, -18874*u - 2 = -4*z - 18880*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/13 + 120*r**3\/13 - 504*r**2\/13 + 512*r\/13.\nAnswer: 2*r*(r - 2)**2*(r + 64)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) 4 (c) 3\/5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*p = 174208, -4*p + 3*p + 348449 = 2*l. Let w = -31360309\/180 + l. Find the common denominator of w and 23\/12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4808854 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y + 325. What is r(-46)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104009695?\nAnswer: 5, 20801939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28923 is divided by 150?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 15 - 11. Sort 2, -1, -5, j in increasing order.\nAnswer: -5, j, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**4\/14 - 26*r**3\/21 + 23*r**2\/7 - 22*r\/7 + 29. Suppose u(t) = 0. Calculate t.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267070 rounded to the nearest 1000?\nAnswer: 267000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7.08, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000034565 to seven decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.54 - -0.6. Let j = 217 - 253. Let b be 9\/j + 3\/(-36). What is the second smallest value in a, 4\/7, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/8 + (-45)\/6. Suppose -6*i - i = 105. What is the tens digit of d\/5*i\/(-6)*-13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13405\/9 or 1490?\nAnswer: 1490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 9:35 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2056 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p**2 - 448*p - 114. What is the least common multiple of 312 and q(75)?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6549 + -6536. Solve a*h - 14*h + 6 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -268 by -134.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -154 or -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1694.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -17*z - 99. Let n(d) = 4*d + 25. What is -2*c(f) - 9*n(f)?\nAnswer: -2*f - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525)*-1*-4)\/(3*sqrt(12)\/sqrt(4) + sqrt(12)\/sqrt(4)*4).\nAnswer: 20*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -515 + 7*s + 9*s - 9*s - s**3 - 9*s - 1108 in the form b*s**2 + n*s + f + x*s**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*1*sqrt(1053) - ((sqrt(325) + -2 + sqrt(325) + -1)**2 - sqrt(325))).\nAnswer: -55*sqrt(13) + 6545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**8\/112 + 2*v**7\/35 + 21*v**6\/40 + v**5\/5 - 7*v**4\/2 + 665*v**2. Find o, given that a(o) = 0.\nAnswer: -2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213491880 to the nearest integer?\nAnswer: 14611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in 1, 855, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1018 - -5?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 13*o**2 + 12*o + 2. Let z be h(12). Let p be -1 + (-18)\/(z - 4). Suppose c - p = -5*x, -3*x = 5*c - c - 100. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 5:36 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f + 17. Let r be x(-5). Let v(d) = -d + 1. Let s(q) = -4*q + 2. Calculate r*v(j) + s(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 552459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (11 - 22) - -23. Let y(k) = -k**2 + 16*k - 7. Calculate y(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56029014 - 24790541. Let q = s - 31238465.00000025. Let o = 8 - q. What is o rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4564188 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: Convert -1100100010001010100 (base 2) to base 6.\nAnswer: -12445232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 52700.03 days?\nAnswer: 4553282592000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-36)*((-13)\/(-5) + -2)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/9 + (-29)\/9. Let f = g + 6. Suppose 0 = -3*h + q + 875, -3*h + 895 = f*q + q. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 28964.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -13*b + 1. Let w be (4 - 2)*30\/(-4). Let o = w + 3. Is z(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 263995095 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-12))\/((-2)\/(4 + 8)). Let f be 5*(2 + 2*-2). Which is smaller: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**7\/105 - 141*x**6\/5 - x**5\/60 - 56*x**4\/3 - x**3\/3 + 13452*x**2. What is the third derivative of m(f) wrt f?\nAnswer: -48*f - 20304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*y + 291 = 0, -y = 3*k - 0*y - 300. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36399998\/4 - (-2 - (-3)\/2). Round l to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 2:09 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 285 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 6*d + 7 - 4 - 4 - 5*d.\nAnswer: 7*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 40 - -8) + -2 + 9.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40439?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -441 (b) -628.89 (c) -2\/3 (d) 4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -130\/41 in -0.2, 5, -10, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 40 - (26 + 8)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 3*x + x)*(-x + 0*x + 0*x)*(4*x**2 + 4*x - 4*x).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1969 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/4 + 48*t**3 - 3072*t**2 + 65536*t.\nAnswer: -t*(t - 64)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15845, -31683, -47521, -63359?\nAnswer: -79197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*l*m**2*r**3 + l*m + m**2 - m*r**3 + 7*m*r**2 - 2*r**3 wrt m.\nAnswer: -98*l*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1938, -3771, -5612, -7461, -9318, -11183, -13056?\nAnswer: -14937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95)\/(-10)*1380\/(-2185).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, o: 2, u: 1, j: 2, b: 1}. What is prob of sequence bo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 37 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (sqrt(7) - sqrt(175))).\nAnswer: -3 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17065412 divided by 1.\nAnswer: -17065412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 + 1 - 1 - 3*b**2 + 0*b**2 + 4*b**2 + (-b - 2*b + b)*(-3 + 2*b + 3) + (24*b - 9*b + 4*b)*(-42 + 66 - 23 - 229*b).\nAnswer: -4352*b**2 + 19*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2. Let o(q) = 1532*q. Calculate o(n(i)).\nAnswer: -1532*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (4 - -122) - -46.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 4*w + 2*w)*(1 - 3 + 0) + 4*w + 3*w - 5*w - 2*w + w - 38 + 27.\nAnswer: 3*w - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*y + 116. Suppose 0 = -3*u + 32 + y. What is the greatest common factor of u and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -130 and -10.6.\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 418, 825, 1232, 1639?\nAnswer: 2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 - -0.43. Let y(q) = -q**3 + 15*q**2 - 16*q + 31. Let z be y(14). What is the nearest to -1 in -3\/5, x, z?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16561 + -10590. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7233*q + 5373*q - 12602*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3411 - 4?\nAnswer: -3420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.44\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 600 and 690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/13 (b) 4 (c) 0.098 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6 = 9. Let z(o) = -o**3 - 6*o + 2. Is z(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**5\/4 - 73*j**4\/4 + 111*j**3\/2 - 129*j**2\/2 + 127*j\/4 - 21\/4 = 0.\nAnswer: 1\/3, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(8\/11))**1)**(-4\/13))**(-1\/7))**(-4) assuming y is positive.\nAnswer: y**(-128\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 - -103. Suppose -6*q = -s*q + 438. Which is smaller: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -3.19.\nAnswer: -1.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((18 - 11) + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28710243769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122 - 116. Let r(d) = -d - 1. Determine r(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -249, -2351, -8159, -19527, -38309, -66359, -105531?\n\"Answer: -309*k**3 + k**2 + 58*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -35*a**3 - 7*a**2 - 13. Let h(c) = -c**3 - c**2 + 1. Let i(z) = -14*h(z) + 2*t(z). Find the first derivative of i(g) wrt g.\nAnswer: -168*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 317.57 - 247.94. Round n to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-36))\/(1\/9). What is the third biggest value in -2\/5, n, -0.08, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5408*p - 3664*p + 3871 - 11454 - 7803*p + 3138*p with respect to p.\nAnswer: -13737","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 153*l + 13*l**5 + 2*l**4 - 144*l - 2*l**4 wrt l.\nAnswer: 260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.08 - -32. Let n = p + 3. Let g = 9389 + -9387. What is the third biggest value in n, 0.1, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54528 divided by -213\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*y - x, -3*x - 2*x = 0. Let q = -872 - -872. Sort q, y, -45 in decreasing order.\nAnswer: q, y, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 5*h + 5*d - 5, -d - 4 = 0. What is the units digit of 338 - 10*h\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -150\/7 (b) -2 (c) 1 (d) 19 (e) 523\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 66 - 66 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1588, 1597, 1620, 1663, 1732, 1833, 1972?\nAnswer: 2155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7768752 divided by 647396?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 5*w + 17, 4*w - 51 = 4*j - 79 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.39*-4.\nAnswer: 69.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s = -113*s + 251713. List the prime factors of s.\nAnswer: 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/7, -3, -2310, -91?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 6. Let f = -6.05 + 6. Let h = f + -0.95. Which is the second biggest value? (a) -0.4 (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50*j**4 - 2*j*l**2 - 14*l**2 - 1 wrt j?\nAnswer: -200*j**3 - 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 3}. Give prob of sequence hh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59277043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -1004\nAnswer: 11\/1004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-11 + 6 - -19) + 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 188 + -258. Let d = r + 65. Let z = 5.61 + -5.7. Which is the nearest to 1? (a) 0.4 (b) d (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383 = 5*s - 13. Let y = s - -234. Suppose -217*p = -24*p - 12*p - 3620. Calculate the greatest common divisor of y and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1 + 5*y + 0*y - 2*y. Let i(x) = 6*x - 4. Let w(b) = -b + 1. Let d(q) = -i(q) - 2*w(q). Let z(u) = -4*d(u) - 5*h(u). Determine z(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*x - 112, 0*m + x - 50 = m. Let z = m - -126. Let q = -41 + z. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*h**4 + 0*h - 71*h**4 + 0*h + 11*h**2 - 2 + 107*h**4 as w*h**2 + i*h + n + t*h**4 + s*h**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 11. Let y = m - -4. What are the prime factors of (-102)\/(-10) + y\/15?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from vccc.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 + 35 - 9*y**2 + (0 + 1 - 3)*(-2*y**2 - 3*y**2 + 3*y**2) as b*y**2 + j*y + q and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 258850.4 equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.8 (b) -4 (c) -1\/6 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14699247.\nAnswer: 3, 1657, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 3:01 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -18. Let w = k - -26. What is the remainder when 25 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**5\/60 - 11*c**4\/24 + 7*c**3\/3 - 10*c**2. Let q be (1\/(-1))\/(16\/(-176)). Determine h(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*k + 24. Calculate the lowest common multiple of 4 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -554351 (base 6) in base 13?\nAnswer: -18145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324 (base 14) to base 7.\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1111670897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 240.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 2*y**2 + 4*y + 6. Let a(d) = -3*d**3 + 4*d**2 - 7*d - 12. Determine -4*a(w) - 7*t(w).\nAnswer: 5*w**3 - 2*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-79 - -49) + 57 + -65?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 462 + -1297\/3. Let q = 30 - f. Solve q*u**5 + 0*u**2 + 0 + 0*u - 1\/3*u**4 + 0*u**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 795409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7*l**3 + 4*l + 4. Let t(j) = -j**3 + j + 1. Let o(m) = -2*m - 2. Let k be o(-3). Calculate k*t(y) - w(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 476988353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z - 9 = -14*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -949*a - 9435. What is u(-10)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**4\/4 + 4*n**3\/3 + 4*n + 1. Let a be w(-4). Suppose 0 = -a*t + 70 + 18. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*v + 740 = -1840. What is the remainder when v is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 1. Let p(a) = -a**3 + 4*a**2 - a - 2. Let g(y) = 2*k(y) + p(y). Let l be g(-4). Solve 8 = 8*u - l*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 6 = -3*l, -5 = -2*k - 3*l + 10. Let x = k + 3. Let b = 30 - x. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*j + 2 - 5*j**3 - 6*j - 6*j to the form n*j**3 + a + r*j + s*j**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36\/25 in 7, -2, 596?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y + 37. Give x(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 11*x**2 - 11*x - 8. Let w be i(-10). Determine d so that -8*d**3 + 112 + 12*d**3 + 144 + 48*d**w + 192*d = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-306)\/136)\/(3\/(-8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1105)\/39*((-64)\/70 + (-120)\/420)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (2 - (-4 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**3 + 2*k**3 - 3*k**3 + (2*k - 3 + 3)*(5*k**2 - k**2 - 2*k**2) + 9478*k + 0*k**2 - 9458*k - 2*k**2 - 10*k**3.\nAnswer: -2*k**3 - 2*k**2 + 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 34*d**2 - 28*d - 64.\nAnswer: -2*(d - 16)*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17721 by -10237.\nAnswer: -17721\/10237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19244191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 250214113 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 33340?\nAnswer: 33343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.014 - 353.986. Let y = -353.99354 - q. What is y rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, i: 2}. Give prob of picking 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96 or -1.69?\nAnswer: -1.69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22\/9 + 167\/72. Let i = -454.0163 - -454. Let r = -0.0363 - i. Sort j, r, -3.\nAnswer: -3, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(180))**2*-1 - (sqrt(180) + (4*(2 + sqrt(180)) - sqrt(180)))**2.\nAnswer: -3124 - 384*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34463891.\nAnswer: 7, 11, 19, 23557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5\/3*c**2 - 34\/3*c + 7\/3 = 0.\nAnswer: -7, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33390 (base 10) to base 6.\nAnswer: -414330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5621*o + 196725. Give t(-35).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 672397374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.021 and -34649.\nAnswer: 727.629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 17*v**2 + v - 34. Let h be w(7). Round h to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-18))\/((-2)\/24). Let f be ((-6)\/4)\/(2 - i). What is the nearest to 2\/7 in -1\/2, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 10*q**2 - q. Calculate b(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/15 - 2946*r**2\/5 - 70416*r\/5 - 84384 = 0. What is r?\nAnswer: -4395, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.76 - -16.73. What is n rounded to one dp?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 66. Suppose x - 2*x + 29 = -4*q, -f*x + q = -71. Solve 3 + x = -4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456496896 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -32, -5, 0.5, 2\/11, 13\/17 in increasing order.\nAnswer: -32, -5, 0, 2\/11, 0.5, 13\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -23.97. Let h = 2\/161 - 340\/1449. Put u, 1, h in descending order.\nAnswer: 1, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 44. Suppose 2*j = 7*j + q - l, 0 = -4*j - q + 29. Solve -d - b - 2 = 0, 4*d + j = -3*b - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by -75.\nAnswer: 46\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2440232 (base 7) to base 16\nAnswer: -4c3bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3654399 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: Is 19129147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 22418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (57\/12)\/(2\/8). Let t = -5 + d. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - h + 4. Let p be j(0). Suppose -p*k = 2*c - 24, 3 = -c - 0*k + k. What is the second derivative of -2*o**5 - 2*o**5 + c*o**5 - o wrt o?\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 401 divided by -1.\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 4:29 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943 less than -0.1?\nAnswer: -1943.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 - -93. Solve -2*o + 4*y + 14 = 0, -m*o + 17 = -5*y - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 37a85473?\nAnswer: -37a85478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80452*l**3 + l**2 - 98458*l wrt l.\nAnswer: 482712*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 189 = l. Let w = -63 + l. Solve -4*a + a - 9 = w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**4\/4 + 7*t**3\/3 - t**2\/2 + 6*t + 2. Let g be v(7). Let c = 45793\/7 + -6542. What is the closest to g in c, -2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 3951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 19514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*21071.058\nAnswer: 632.13174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 9 + 3\/4*o**2 - 1\/6*o**3 + 0*o. Factor k(z).\nAnswer: -z*(z - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8130, 7912, 7548, 7038?\n\"Answer: -73*x**2 + x + 8202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-five quarters of a millennium?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r = 10. Let a(t) = 6*t**2 + 2*t + 1. Let h be a(r). Let d = h + -5. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -360591 (c) 3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (sqrt(252) - (-4 + sqrt(252) + -2)**2) + (sqrt(252)*1*3 - (sqrt(252) + (sqrt(252) + 1)**2 + sqrt(252))*4)).\nAnswer: 3885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2200 and 1298?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23617 + 5904269\/250. Calculate the common denominator of ((-42)\/(-20))\/(30 + (-25542)\/825) and k.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + g + 16. Let z be a(0). Let n = -9 + z. Let y = -12 + 17. Solve -2*b = 5*q - n, -q = -y*q - 5*b + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 + 77. Solve 4*r = 0, -4*g = k*r + 7 + 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u**(1\/5)\/u)\/u*u))**(1\/42)\/(u**(-3\/8)\/(u\/(u**(9\/4)\/u)*u*u)) assuming u is positive.\nAnswer: u**(1801\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Suppose -5 = -5*w - 25. Let o be (-1 + c + -6)*w. What is the greatest common factor of o and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s = -20. Let n = 195 - s. Let o = n - 90. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 25*t + 37. Let l(o) = 50*o + 75. Let x be (-1)\/(6\/30) - 2. Let z(p) = x*m(p) + 4*l(p). Find the first derivative of z(f) wrt f.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-248)\/10)\/((-108)\/36720*136)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 4*d - 6, -8 = -1141*g + 1137*g - 5*d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1461.244 - 1465. Let j = x - 0.044. Let g = 3.8029 + j. What is g rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/(31\/124*(-8)\/34)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 1338?\nAnswer: 5352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4441 to two dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 201393286 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 300480167 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-100)\/(-16))\/((7\/4)\/(-7))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**5 + r**5 + 4*r**5 + (-3*r - r + 5*r)*(-2*r - 2*r**4 + 2*r) - 4*r**5 + 2*r**5 - r**5 - 4*r**4 + 4*r**4 + 3*r**5.\nAnswer: -r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55640948 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 10:51 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*b**3*c**2 + 2*b**3*c + 2*b**3 + b - 15*c**2 wrt c.\nAnswer: 12*b**3*c + 2*b**3 - 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2445*c + 1720. Let y(u) = -1221*u + 863. Let g(k) = -4*p(k) + 7*y(k). What is the first derivative of g(s) wrt s?\nAnswer: 1233","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -186*m**2 + 54*m - 17. Determine z(2).\nAnswer: -653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*n + 737 + 2478 = -1807 for n.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3963*i + 3910*i = 3402*i - 96852 + 20845 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-24)*-1*(-108)\/(-90)*-1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 8 + 12 = 0. Let y be (8\/q)\/(2\/5). Suppose 5*f - 48 = u, 0*f - y*u - 42 = -5*f. Calculate the remainder when 19 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/11)\/l**(-8)*((l\/(((l**(-2)\/l)\/l)\/l*l))\/l)**(-36))**(-14\/3) assuming l is positive.\nAnswer: l**(6986\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723635307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1668 or 19\/533?\nAnswer: -1668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/189 and 44\/77367171.\nAnswer: 696304539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.1799\nAnswer: -0.8995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*y - 5*y + 4*y)*(0 - 4 - 1) - 3*y + 3*y - y)*(4*y**2 - 1 + 1) to i + z*y + c*y**3 + u*y**2 and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 76645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18286260?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = 94*u + 1094 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 66 = 4*b, 3*b - 4*i - 50 = -2*i. Suppose 9*f - 5*r = 4*f + 10, r = -2*f + b. Calculate the least common multiple of 18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7460 - -7456. Let w = -0.2 - 0.1. Sort -19, n, -1, w in descending order.\nAnswer: w, -1, n, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 0 + 0*v + 1\/3*v**4 + 0*v**3 - 5*v**2. Let t(z) = -z**2. Give t(c(a)).\nAnswer: -64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5 - 27*v**4 - 42*v**3 + 6*v**2 + 45*v + 21 = 0. Calculate v.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*t - 10796, -4*u + 5*t = 45 - 21640. Is u a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/6*48\/(-10)*1155\/(-2156).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*k, 4*j = -3*k + 1 + 1. Suppose -14 = -2*t + 2*w, -t - w = j*w + 9. Solve 2*f + 2*f = 2*g + 2, -3*f - t = -3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2405400 to the nearest 10000.\nAnswer: -2410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 2 + 4*h**2 + 2657*h + 1 - 2655*h. Let p be (-3)\/(4\/8*-3). Suppose p*n + 9 = -n. Give r(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -19. Let z(o) = o**2 + 5*o - 10. Let v be z(-7). Suppose -v - 8 = -4*x - 4*q, 4*x = 3*q - 16. Sort 4, f, x.\nAnswer: f, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*j**2*p**2 - 2*i*j*p + 3*i*j - i + 4*j**4*p**2 + 2*j**2 + 9*p**2 wrt j.\nAnswer: 2*i*p**2 + 48*j**2*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 21248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2093 or 1\/35?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48493219909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 269203\/31 or 8685?\nAnswer: 8685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - w + 45 = 4*r, -4*r + 218*w = 217*w - 60 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 165\/88*(-92)\/(-6) + 134\/(-67). Sort 0.32, 1\/5, k.\nAnswer: 1\/5, 0.32, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109405975.\nAnswer: 5, 7, 31, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:53 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -21\/29 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f**3 - 6*f**3 - 27*f**3 + 2*f**3.\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*g + 4092 = 181*g. Let l = -37\/3 - -119\/6. Calculate the common denominator of g\/(-55) + 2\/15 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2838610?\nAnswer: 2, 5, 283861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -20064?\nAnswer: 20064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 plus 6.99324579012?\nAnswer: 22.99324579012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*sqrt(3500)*1)\/((sqrt(2880)*-2)\/sqrt(4)))**2.\nAnswer: -10*sqrt(7)\/3 + 2479\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/16)*s\/s**(-4\/11)*s*s**(-4\/9)*s*s\/(s**(-6)*s*s)*s assuming s is positive.\nAnswer: s**(14227\/1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 49*g**2 + 3574*g - 3. Let n(t) = -212*t**2 - 14292*t + 13. Give -6*n(v) - 26*y(v).\nAnswer: -2*v**2 - 7172*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 268?\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 25 = 2*h, 197 - 176 = -3*x. Solve -88 = 27*d - h*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, -14\/65, 2 in decreasing order.\nAnswer: 2, 1, 0.2, -14\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h - 4 = 0. Let n(w) = -w**4 + w**3 + w**2 - 1. Let l(b) = -b**3 - 55*b**2 + 16. Let f(j) = h*n(j) - l(j). Differentiate f(q) with respect to q.\nAnswer: 4*q**3 + 108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 3*z - 54 = 27*g + 9, 3934*z + 66 = -6*g + 3930*z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2 - g**3 + 3628*g**2 + 23*g - 1808*g**2 - 1809*g**2 - 1. Calculate t(13).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(0 + 1 + -1). Let j be -1*(3 + 45\/(-3)). Let u = j - d. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 45. Is 1\/30 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 11:53 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3616.83 rounded to the nearest 10?\nAnswer: -3620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**13\/h*h*h)\/h**(2\/37) assuming h is positive.\nAnswer: h**(590\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 909.\nAnswer: -904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20613099?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364826 (base 10) in base 9?\nAnswer: 2510163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224210 is divided by 37354.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/3)\/21*-12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342804696?\nAnswer: 2, 3, 13, 23, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 15*m**3 - 52*m**2 - 326*m + 741. Give i(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-1376)\/(-60))\/(-86))\/((3\/10)\/(27\/828))\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-50.6\nAnswer: -50.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-2))\/(2\/4). Suppose -2*o + o - t*n + 18 = 0, -3 = -n. Let v = -6 - -17. What is the smallest common multiple of v and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -240 - -236. Put 1, r, 2 in increasing order.\nAnswer: r, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -39. Let r = 7 - z. What is the tens digit of 4\/(-3) + 52\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13197267856305781\/60980 + 216419610637. Let b = 2\/3049 - t. Find the common denominator of 38\/(-16)*(-10)\/4 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/13*d**2 + 0*d + 2\/13*d**3 + 0 - 2\/13*d**4.\nAnswer: -2*d**2*(d - 2)*(d + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764863 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4508\/207 - 22) + (-392)\/18?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11302 (base 7) to base 3\nAnswer: 10222011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 21*x**2 + 23*x + 65. Calculate the smallest common multiple of r(-20) and 169.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -5\/96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 19. Let g(d) = -1 - 7 - 3 + 2 + d. Let c(m) = -3*m**3 - 9*m**2 - 4*m - 7. Let q be c(-3). Let t(b) = q*g(b) + 2*k(b). Calculate t(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + f = -152, 604135*l + 2*f - 196 = 604131*l for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1975*j**2*s - 116*j**2 - 3*j*s - 857*s - 3 wrt j?\nAnswer: 3950*s - 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458564 divided by -229282?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5\/8, 0.133, -1\/6, -7338?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-3*1*sqrt(65) - sqrt(65)) + -3*(sqrt(65)*-2 + sqrt(65)))\/(sqrt(40)\/(sqrt(8) - sqrt(72)) - sqrt(320)) + 2)**2.\nAnswer: -1208\/289 - 8*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 8*c + 7. Let v be k(-7). Suppose v*m = 5*m - 100. What is the remainder when 79 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/13))\/t**1*((t*t*(t\/t**3)\/t*t)\/t)\/t**16 assuming t is positive.\nAnswer: t**(-223\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46680706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*-3*sqrt(360)\/sqrt(6))\/((4*(sqrt(72) + sqrt(72)*3))\/sqrt(6)).\nAnswer: -15*sqrt(5)\/16 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7762, -8197, -8632, -9067, -9502, -9937?\n\"Answer: -435*k - 7327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4135 - 4131. Is a not equal to 4\/349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 0. Let j = -35\/3 + 34\/3. Sort j, 4\/5, m in increasing order.\nAnswer: j, 4\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*w + 34*w + 107*w + 5*p = -57*w - 360, -w - 4*p = 34 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 4 + -3 - 0) + 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15784261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 10*a - 12. Let c be n(8). Let l(g) = 2*g**3 - 6*g**2 + 6*g - 7. Let q be l(c). Suppose 7*z - 6*z = q. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -13. Is -1 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 0.1, 1188, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 10, 3*t = -5*b + 9*b + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 60 - 6*z**2 + 11*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 70. Let z = j - 11. Suppose -572*s + 571*s + 4 = 0. What is the smallest value in -1\/5, -3\/5, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27800998259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29.514929 and 0.3?\nAnswer: -8.8544787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - (-1 + sqrt(3))*-2 - sqrt(108)*-2.\nAnswer: -2 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 306, 697, 1322, 2259, 3586, 5381, 7722?\nAnswer: 10687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 13*b - 22. Let c(i) = -3*i - 7. Let x be c(-6). Calculate u(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16740*n = -16576*n - 6232 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 w, and 1 p when three letters picked without replacement from pprrwn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1699, 1599, 1499, 1399, 1299, 1199?\n\"Answer: -100*t + 1799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 31297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595 and 429335?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 76. What is the fourth biggest value in 2, l, -6, 1\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 525 - 529. Let z be (-1 - -2) + 11\/((-22)\/s). Which is the fourth smallest value? (a) 0.6 (b) -1 (c) 4\/9 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5547*t**2. Let o(n) = 13*n - 25*n + 12*n - 47*n**2. Let y(i) = 4*d(i) + 473*o(i). Let v(x) = -2*x. Calculate v(y(s)).\nAnswer: 86*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44319 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(11) + 1 + 3 + 0 + sqrt(11) + 5 + 4.\nAnswer: 3*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 5 + -4 - 1. Let v be x*(3 - 1)\/((-4)\/3). What is the greatest common factor of v and 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -216 (b) -0.2 (c) 0.5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61936.59 meters to millimeters.\nAnswer: 61936590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 9. Let h be z(7). Let c be -3 - (5 - 4)*-8. Solve c*r - 12 = -h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 2. Let k be g(2). Let s = 19648 - 19588. Suppose 0 = -4*o + k*i + s, -3*o - 4*i = -i - 15. Solve -3*q = 5*p - o, -4*p - 2*q = -3*q - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13629 greater than or equal to 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 3*p. Let u(z) be the first derivative of -2*z**2 - 156. Calculate -4*r(y) - 3*u(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**4\/12 - v**2\/2 - 3*v - 2. Let t(x) be the first derivative of m(x). What is the first derivative of t(w) wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 38*f**2 + 1. Let q(c) = c**3 - 9*c**2 + 6*c + 15. Let y be q(8). Give v(y).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**4\/38 + 4*f**3\/57 - f**2\/19 - 8. Let c(q) = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*u + 158, -4*u + 133 - 7 = 3*j. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -k + 84, -9 = 2*u + u. Suppose -2*c + k = c. Suppose 0 = 3*t - 3 - c. Solve -2*h - t = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d*s**2*y - 2*d*s**2 - 63*d*s - 8*d + 1993*s**2*y - 5*s**2 wrt y?\nAnswer: -2*d*s**2 + 1993*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 22*v + 27615 = 0. Suppose -6*p - 9*p + v = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -i - 12. Calculate the remainder when 1315\/13 - i\/(-52) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 10:03 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 5*v = -10*j + 24, -5*j - 5*v = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 8. Let g be b(4). Is g > 14\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**3 - 7 + 7 + 14*y**3 - 3*y**3 + 0*y**3 - 2*y**3 - 5*y**3 + 5*y**3 - 2*y**3 + y**3 - y**3 + (3*y + y - 2*y)*(-3*y**2 + 2*y**2 - y**2).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2519 - 2519.01. Which is the smallest value? (a) -5 (b) h (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elcl when four letters picked without replacement from llcef?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 11) to base 3.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-51)\/(-5) + 4\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17632364 plus 7958983?\nAnswer: 25591347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -138 - (826 + -877).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 4. Let y be ((-10)\/25)\/(4\/(-70)). Suppose y*r - 11*r = 0. Suppose 5*h - 5*o - 15 = r, -o + 5 = 5*h - 4*o. Determine t(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24 and -166.45.\nAnswer: -190.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 + 0*t**5 + 2*t**5 + (t**3 + 0*t**3 + 4*t**3)*(0 + 2*t**2 + 0) + (-159*t - 9*t**4 + 159*t)*(-3*t + 0 + 0).\nAnswer: 39*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 greater than 21345\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4554 and 0.013506.\nAnswer: 61.506324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1011, -8287, -27969, -66237, -129271?\nAnswer: -223251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1329661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2 (c) -12\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 731.1 - 746.1. Sort 209, 5, z, -2 in ascending order.\nAnswer: z, -2, 5, 209","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -1)*27\/2. Let y = 308 + -333. Let t = y + b. Solve 2 = t*o + 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/((-5)\/19032) - (-3)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 158130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -158747398*k**4 - 2*k**3 - 6570729 with respect to k.\nAnswer: -634989592*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 462491987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 9*k + 4. Let x be o(-9). Suppose 23 = 5*l - 2*h + 3*h, -8 = x*h. Suppose 561 = -l*i + 1646. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 21*z**2 + 14*z - 28. Let r(j) = -4*j**2 - 3*j + 6. Let m(t) = -14*r(t) - 3*s(t). Determine m(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12859.\nAnswer: 7, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32961 and 15?\nAnswer: 164805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008546918 rounded to 4 decimal places?\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -74393*s + 14 - 2 + 1874391*s. Let h(b) = b**3 + 13*b**2 - 13*b + 20. Let p be h(-14). Let u be d(p). What is u rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -0.5, -2, 2.74, -2\/7, -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3230.\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 4*u**2 + 4*u - 1. List the prime factors of r(5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -202*u**3\/3 + 9*u**2\/2 + 62. What is the second derivative of g(n) wrt n?\nAnswer: -404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -17756039838.\nAnswer: -17756039835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19672, -19602, -19304, -18664, -17568, -15902, -13552?\nAnswer: -10404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*s - 390, -4*f + 3*s = -5*f + 106. Calculate the remainder when 247 is divided by f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29 and 166.\nAnswer: 4814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -58.822 (b) -1 (c) 0.1 (d) -4 (e) -1\/4 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 850 or -1.75?\nAnswer: -1.75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -19. Suppose 5*y - r - 25 = 0. Suppose 12*g - y*g + 6*g + 20*g**2 - 68*g**3 - 80*g**4 = 0. What is g?\nAnswer: -1, -1\/4, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.259, 3, 0.9.\nAnswer: -0.259, 0.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/(-63) + (-94)\/(-7). Let z be 26\/(-91) + 4\/c. Solve -r - 3*r + 4 = z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -45*i**2 - 1172*i - 23. What are the prime factors of a(-17)?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4091*n - 44. Let o be l(2). What is o rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, -6\/11, -0.8683?\nAnswer: -0.8683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -10, -7, -29, 0, -1 in descending order.\nAnswer: 6, 0, -1, -7, -10, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44255?\nAnswer: 5, 53, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4770.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34260341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 18\/((-22)\/11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -61 + 51 - (-6 - (-1 - 0))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 11550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -20. Suppose -4*l + 24 = -40. Suppose -w*z + l = -4*j, 2*j + 16 = 3*z + 1. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3802*a - 296477. Give w(78).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1706844?\nAnswer: 2, 3, 142237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 1. Let m(u) = -21*u + 96. Let b(z) = m(z) - 18*x(z). Is 7 a factor of b(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1225.875ng?\nAnswer: 0.000000001225875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**3\/21 + 446*m**2\/21 - 300*m\/7 = 0.\nAnswer: -225, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1768189 and 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 - -241. Is f a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23139, -23103, -23067, -23031, -22995, -22959?\nAnswer: -22923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5}. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1039, 1084, 1127, 1168, 1207, 1244?\n\"Answer: -h**2 + 48*h + 992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39546 rounded to 3 decimal places?\nAnswer: -0.395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h + 82. What is the tens digit of i(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13249*m**3 + 11844*m.\nAnswer: -79494*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -878*f + 151 + 7990*f**2 - 7939*f**2 + 878*f - 151.\nAnswer: 51*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (sqrt(448) + 0 + sqrt(448))) + 1 + 3*sqrt(448)*2)*-3*6.\nAnswer: -720*sqrt(7) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 - 4*c - 97 - 58 - 102 + 122.\nAnswer: -4*c - 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + sqrt(304)) + -5 - ((-2 + sqrt(19))*-2*5 + -5)**2.\nAnswer: -2131 + 304*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*u**3*w**2 - 24*u**3*w - u**2*w + 2*u**2 - 3593*u*w**2 - 7*u*w + 34 wrt w.\nAnswer: 52*u**3 - 7186*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*w**4 + 12*w**4 - w**4 + (-1 + 2*w + 1)*(w**3 + 4 - 4) - 43*w + 43*w + 3*w**4 to the form n + f*w**3 + d*w + t*w**4 + c*w**2 and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1451113 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 12*l**2 + 93*l - 42. Is i(-20) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r + 770 = 1090. Is r at most -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5983, 5984, 5985, 5986, 5987?\n\"Answer: n + 5982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10121221210 (base 3) to base 14.\nAnswer: -1c049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91 + -76 + (-16 - -5) - (-116 + (3 - 5)).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/3)\/(-2*1). Let x(y) be the first derivative of -y**3\/3 - y**2\/2 + 20*y + 2. Does 10 divide x(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-25)\/(-100))\/(25\/(-420)) - -6. Determine d so that -b*d**3 + 12\/5 - 7*d**2 + 4\/5*d + 18\/5*d**4 = 0.\nAnswer: -1, -2\/3, 2\/3, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15667283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 154854 divided by 21\nAnswer: 7374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + b = 0, -4*q - 7*b - 16 = -4*b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 21, -w + 79 = 5*s - 9. Calculate the greatest common factor of 14212 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4659977 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 11:10 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(2\/51)*s**(2\/25) assuming s is positive.\nAnswer: s**(1327\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d + 70 = 0. Suppose -2*i = 4*h - 154, -5*h - 3*i + 153 = -h. Suppose o - 15 = h. Calculate the remainder when o is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 0 - 3 - -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n - 9. Suppose 4*q - 4 = 4. Let g be q\/6 - (-80)\/(-15). Let t = 23699 - 23696. Let o(y) = -4*y - 5. Determine g*o(x) + t*m(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*g**4 + 24*g**3 - 3*g**2 - 42*g - 24 = 0. Calculate g.\nAnswer: -2, -1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*h**6 + 12*h**5 + 3478*h**2?\nAnswer: -960*h**3 + 720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/195 and -23\/61060620.\nAnswer: 793788060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*m**2 + 3)*(m + m + 0*m)*(-6*m + 21*m - 8*m) + m**4 + 2*m**4 - 2*m**4.\nAnswer: -55*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 16*y + 22. Let h(t) = -17*t**3 + t**2 - 1. Let d be h(1). Let n be u(d). Let o = 32 + -91\/3. What is the nearest to 0.2 in n, o, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 - -98. Let o = g + -124. What is the remainder when o is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290200.\nAnswer: 2, 5, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**5 - 228*f**4 - 4767*f**3 - 16638*f**2 - 19872*f - 7776 = 0. What is f?\nAnswer: -36, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 143*x**2 - 9982*x - 105. Determine y(70).\nAnswer: 1855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259 = -5*m - 3*z + 268, 5*m + 4*z = 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 16\/3, 2\/9, -5, -3, -104518?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 742887552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t**2. Is 21 a factor of x(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 14 + 3 + 4 - 5*a to the form c*a + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h - 2*h)*((0*h + 2*h + 0*h)*(-6 + 3 + 1) + (-41*h + 22*h + 15*h)*(0 + 3 - 2)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3.719 times 0.06\nAnswer: 0.22314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46154 smaller than 45985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 783\/5 - 3127\/20. What is the closest to 0 in z, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.06 + -0.16. Let x = m - 0.89999944. Round x to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 2223\nAnswer: 8892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 81952034 to the power of 1\/3, to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -35*n + 10776. Let r(t) = 13*t. Determine k(r(o)).\nAnswer: -455*o + 10776","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*2*3\/(-1). Let u(k) = -k**3 + 7*k**2 - 7*k - 1. Let c(v) = -v**3 + 7*v**2 - 7*v. Let s(t) = -6*c(t) + 7*u(t). Determine s(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 20 - (-4 + 4) - 4) + -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379989 is divided by 21110.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -5.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -59812065 divided by 15\nAnswer: -3987471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**3 - 2*z**2 + 3*z - 2. Let v be s(1). Let b(g) = -g**3 - g**2 - g + 5. Let d be b(0). Suppose -d*i + v = -3*i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**2*v - 11250263*n**2 + 85863*v wrt v.\nAnswer: n**2 + 85863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 1:23 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rohhlohhhhovh. Give prob of sequence hhl.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0. Let t = 125 + -364. Let v = t - -239. Which is the nearest to 2\/7? (a) j (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1194 = 2*o, j - 10 = -4*j. Let u = o + -264. Suppose -2*z + f + 132 = 0, 0 = -4*z - z + 2*f + u. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 76*l - 475*l**2 + 77*l - 3354*l**2 + 5 - 147*l + 3. Let w be r(-4). What is w rounded to the nearest one thousand?\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggwq when four letters picked without replacement from {q: 2, w: 1, g: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9483 is divided by 3154.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 2*h - 6, -471*h - 9 = 5*b - 475*h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 - 18*f**2 + f + f + 9*f**2 + 6*f**3 + 72 - 2*f**3 in the form s + k*f**3 + o*f**2 + j*f and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k + 1. Suppose -5*v + 4*d - 7 = -2*v, -3 = -v - 4*d. Calculate the least common multiple of j(-1) and (1 - -9)*(v + 22\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 91 and -79 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499 divided by -8753?\nAnswer: -1499\/8753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3585 and 308.\nAnswer: 1104180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 7 = -47 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18612 divided by -846.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238.52679 months to centuries.\nAnswer: 0.198772325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 4*f + 9. Let j be w(8). Suppose -5 = -5*u - h + 6*h, -4*u = -h - 1. Suppose u*i = -5*i + j. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/6*4\/(-25). Suppose 4*s + s = 40. Suppose l = 3*w + 7 - 2, 4*l + s = -2*w. Which is the second smallest value? (a) w (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 189. Suppose 2*b - 2 = k, 4*b = 26 - 6. Let n = 24 - k. Calculate the greatest common factor of g and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36536?\nAnswer: 2, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:14 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -2a?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -8725\nAnswer: 872.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n - 16. Let i be d(-6). Solve 5*o - 1 - 2 = -i*l, -4*l = o - 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 48507.32.\nAnswer: -48502.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7375 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16674258*f**2 - 3*f + 177708?\nAnswer: 33348516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 837 a factor of 356110020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39661\/3936 - 370\/41. What is the common denominator of d and 4\/(-1*4)*(-175)\/336?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 11*t. Let g(u) = 990*u + 210. Let x(b) = 19*b + 4. Let l(w) = 2*g(w) - 105*x(w). What is l(q(z))?\nAnswer: -165*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22169094 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15876 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4391847 divided by -8\nAnswer: -4391847\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.62369 meters in millimeters?\nAnswer: 14623.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000101110111001 + -1100?\nAnswer: 10000101110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + k + 1. Let s(b) = 4*b**2 - 2. Let t(v) = -3*i(v) + s(v). Let p be t(3). Put p, 5, 1 in ascending order.\nAnswer: p, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -r - 4*k, 4*r + 3*k - 363 = -0*k. Let l = r - 84. Suppose -8 = l*v - 4*m - 100, 0 = v + m - 19. Solve 3*o - v = 3*b, -2*b + 4 = 4*o - 2*o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(-110*d + 186 - 186) to the form a + z*d and give z.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 3*i + 3*i)*(22*i - 5*i - 530 + 565).\nAnswer: 17*i**2 + 35*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -1\/3 (b) -3\/5 (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*x = 24*x + 40 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 813216.5 rounded to the nearest one thousand?\nAnswer: 813000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - 9*i + 4. Let t = -34 + 39. Let p be w(t). Let k be 20\/(-35) - (-124)\/(-28). Put -2\/3, p, k in descending order.\nAnswer: p, -2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*s + 4 + 7*s - 3*s wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 4545651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -593\/21 - -83\/3. Let w be 5\/2*4\/5. Suppose -g = 5 + w. What is the smallest value in h, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**4 - 3*u**3 - 4. Let x(p) = -6*p**4 - 2*p**3 - 5. Let l(v) = -2*k(v) + 3*x(v). Differentiate l(o) wrt o.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 12. Let w = -12 - h. Let a = w + 10. Let n(y) = -y**2 + 5. Give n(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p + 6. Give j(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/19 (b) -8408\/33 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/3*(-40)\/24. What is the third derivative of -159*d**2 - 7*d**k + 7*d**5 - 109*d**6 + 7*d**6 wrt d?\nAnswer: -12240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiijjjijijj. What is prob of picking 2 i?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1.75. Let k = -0.06 + -0.04. Let p = k - s. What is p rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*m = -2627 - 6389 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -3. Let s = -7 + 11. Suppose -a*p + 3*r - s*r = -11995, 3*p = -5*r + 17975. What is p rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5563 = 5*r, r - 1117 = 54*w - 51*w. Calculate the remainder when r is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.53, 0.4, 1\/382.\nAnswer: 1\/382, 0.4, 0.53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34*(-9)\/1020)\/((-9)\/(-8)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -291*s + 591, -2*s - 379 + 386 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 11*c + 2. Let v be z(-5). Let g be 1\/(-3) - v\/(-6). What is the remainder when 22 is divided by (-4)\/(-2) - -2*g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10743 - -10744. Let n = 0.08 + 10.92. Let g = n + -10. Which is the nearest to p? (a) g (b) -2\/19 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 3:13 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.175 and 0.27609752?\nAnswer: 1.45109752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (12 - 4)\/(-2). Let k = 6 + -4. Solve h - k = -o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694 is divided by 113?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4155*o - 49 - 4169*o + 8337*o to j*o + h and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-288539)\/(-6) - 349\/(-2094).\nAnswer: 2, 3, 5, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 18 + 12. Let f(j) be the first derivative of -j**3\/3 + j**2\/2 + 7*j + 2. Calculate f(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 986 divide 1017700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9134 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(-143) + ((-106432)\/34658 - -3). Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -207507*o**3 - 2071914*o**2 + 31548*o - 120.\nAnswer: -3*(o + 10)*(263*o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 2*x**2 - 7*x. Let y be r(4). What is the common denominator of (-106)\/4*((-9)\/12 + 1) and (-534)\/(-54) + -1*(y + -1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-28)*((-3780)\/(-364) + -24 - -12).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - b**2 - b**2)*(-438 + 438 + 117*b**2) - 3*b**4 + 2092 + 5*b**2 + b**3 - 2095 + 2*b**4.\nAnswer: 116*b**4 + b**3 + 5*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21193650 divided by -150?\nAnswer: -141291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*g + 40*g - 68 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2432140 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 309072 bigger than 309215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -1, t - 49 = -y - 0. Suppose 2*v + 9 = 2*p - 5, 2*v + 16 = 3*p. Suppose p*a = -5*f + 46, -3*a + 6*f - 3*f + t = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3117 + -3116. Which is the second smallest value? (a) 1.5 (b) -7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 - 1956 = -83*g. What is the highest common factor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0366*-1950\nAnswer: -71.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, a: 7, w: 1, l: 5}. Give prob of sequence wtll.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1900) - -4*1*sqrt(1900)) + 4 + -1 + (sqrt(38)\/sqrt(2))**2).\nAnswer: -50*sqrt(19) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(2\/3)*-1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33296*d + 6578 = 2*h - 33084*d, 3*h = -3*d + 102 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 1:00 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102202012122111011 + 2?\nAnswer: -102202012122111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -315 - -327. Let d be (-1 + (2 - 2))*-3. What is the tens digit of -1*(d\/j + -1)*64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 162*h + 336.\nAnswer: -3*(h - 56)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 2*c**2 + 2*c - 5. Let b be y(0). Sort -4, 5, b in increasing order.\nAnswer: b, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 b, and 1 k when four letters picked without replacement from mrrwktkwkwwb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 - (-150016)\/48. Is 2\/14 - j\/(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1238\/9, -1\/3, -2519 in ascending order.\nAnswer: -2519, -1\/3, 1238\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5500 - -2776. Let t = k - -2721.674. Let b = t - -2.4. Round b to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*o + 3*o = -5, -s - 3*o = -13. Suppose 0 = s*q + 7*d - 2*d - 7, -3*q + 3*d = 15. Does 11 divide -4*(22\/1)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1 - m - 3*m**2 + 5 + 6*m + 1. Let y(h) = -4*h**2 + 8*h + 8. Give 8*k(n) - 5*y(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-2)\/20*2). Suppose 0 = 3*d + 4*p - 5, 0*p + p - 14 = -5*d. Solve d*a + 0*t = -3*t - 21, o*t = -3*a - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -15, -2\/11, 1.6, -38, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (sqrt(1053) + -3*(sqrt(1053) + sqrt(1053) + -3))*-2)*6.\nAnswer: -1080*sqrt(13) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 8:07 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/96 and 50\/30*15\/(-112).\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 3 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -25.8. Let w = a + 0.2. Let n be (1\/6)\/((-24)\/32). What is the nearest to 1\/2 in 0.5, w, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from offkkyfoofyfffffyo. What is prob of picking 4 o?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-74)\/(-5)*40\/(-24))\/((-926)\/(-1389))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 2)*(-2 - -1). Let s be a\/(-1) - (7 + -5). Let r be 3\/((-3)\/17)*s. What is the greatest common divisor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(t\/t**(-1\/5))\/t))**(-2\/15)\/(t*t**21*t**(-1\/2)) assuming t is positive.\nAnswer: t**(-3221\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13447 + 27769 = 1288*h for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 255 = 2*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from {m: 6, n: 1, o: 3, g: 1, p: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(63\/2)*19\/(-19)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65829017 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 6*c - 5. Let w be v(4). Let z(g) = -g**2 - 3702*g - 47953. Let j be z(-13). Solve w*h - 1 = j*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 63*i - 51*i - i**2 - i**3 + 9*i**2 + 7. Let z be q(7). What is the greatest common factor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163128 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**1*r*r)\/r)\/r**(-2\/7))\/(r*r*r**(-1\/2))**23)\/((((r*r\/r**(-5))\/r)\/r)\/r**(-2)*(r\/(r*r*r**(-5)*r)*r)\/r**(3\/5)) assuming r is positive.\nAnswer: r**(-2983\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**5 - v**3 + v**2 - 1. Let r(w) = -12*w**4 - 21*w**3 + 15*w**2 + 15*w - 3. Let k(u) = -3*j(u) + r(u). Suppose k(y) = 0. What is y?\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15368955?\nAnswer: 3, 5, 7, 197, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 92179.53 micrograms in grams?\nAnswer: 0.09217953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from bbwbwpwbbwbwwclbpwbb?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n = 52*n - 6992. Calculate the remainder when n is divided by 147.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87717 divided by 3\nAnswer: -29239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**3\/15 - 146*k**2\/5 + 525. Find o, given that c(o) = 0.\nAnswer: -292, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/9 + (-2)\/(-9). Suppose d = -4*j - j - s + 91, 2*j + 3*s - 39 = 0. Calculate the remainder when 88 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34101303 + -33?\nAnswer: -34101341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -1.3. Let t = j + -1.1. Let r = 1.0421 + -0.9421. Put t, r, 4 in decreasing order.\nAnswer: 4, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 18 = -z, -4*z - z - 47*o + 41 + 157 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 581624 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a decade in years?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 9*d + 1. Let a be -2*(-9)\/(-8)*4. Let i be r(a). Suppose 0 = -4*u - 3*t + 3, 5*t - i - 4 = 5*u. Is u less than or equal to 2\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 1:21 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2160\/248513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, y: 13}. What is prob of sequence ii?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19830, -158626, -535368, -1269030, -2478586?\nAnswer: -4283010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(-2\/91)*p**(-1\/2)\/(p*p**(-4))*(p\/p**3)\/p*p*p*p\/(p**(-3\/4)*p)*p*(p\/(p*p*p**(2\/5))*p*p)**(1\/10) assuming p is positive.\nAnswer: p**(29921\/9100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + u**2 + u**2)*((-u**2 + 2*u**2 - 2*u**2)*(3 - 3 - 1) - 7*u**2 + 7*u**2 + 4*u**2).\nAnswer: -10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 10:27 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, h: 13}. What is prob of picking 1 q and 3 h?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3845715.\nAnswer: 3, 5, 23, 71, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -148, 74468 in decreasing order.\nAnswer: 74468, -2, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-33)\/154)\/((-11)\/((-15631)\/28)). Put 1, a, 0.5 in ascending order.\nAnswer: a, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 15*n**2 + n + 7. Let m be c(-15). Sort 0, -3, m.\nAnswer: m, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 390\/(-1560) + ((-33747)\/4)\/(-3). What is the highest common factor of i and 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(3\/4)*m)\/m**(-2))\/(((m**3\/m)\/m)\/(m**(-5)*m)) assuming m is positive.\nAnswer: m**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**5 - 122577*f**4 - 2327934*f**3 - 2205360*f**2 = 0.\nAnswer: -40840, -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 7 - 2) + 1 - 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(-52 - 354 - 78)*(4*r - r - r) to j + w*r and give w.\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, s: 5, b: 3, x: 1}. Give prob of picking 4 s.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21819240 and 660?\nAnswer: 240011640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*m**2 + 3 - 7 + 5 to z*m**2 + q*m + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 313926\/(-144) + (-1 - 3). Let q = n + 2185. What is the common denominator of q and 89\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i**(1\/3)*i)\/i)\/i)**(34\/5) assuming i is positive.\nAnswer: i**(136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 11*f**7\/360 - 41*f**5\/120 - 61*f**4\/12 + 4*f**2 + 8*f. Let v(x) be the second derivative of b(x). Differentiate v(d) wrt d.\nAnswer: 154*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.460771 litres?\nAnswer: 460.771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 253*x + 4 + 83 - 131 + 71 to g + z*x and give z.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2. Let j(c) = 45*c**2 - 63*c. Let t(f) = -f**2 + f. Let q(x) = -2*j(x) - 126*t(x). What is q(h(a))?\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 805229881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 1027.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4, -4*b - 16 = -k - 3*k. Let c = 181 + -197. What is the units digit of b\/2 - 440\/c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 4*r + 6 = 60. Are r and 1\/93 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*(0 + sqrt(108)) + 1)*3)**2 + 3.\nAnswer: 1728*sqrt(3) + 15699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -17923?\nAnswer: 17920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -877, -1765, -2653, -3541, -4429?\nAnswer: -5317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -33. What is the remainder when 158 is divided by -2*x\/(-11) - (-502)\/22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7971, -15764, -23559, -31356, -39155, -46956, -54759?\nAnswer: -62564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1724 is divided by 284.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 33.2. Let l = 1499 + -1530.13. Let q = l - m. What is q rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2660572.284 to the nearest 100.\nAnswer: 2660600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0*b + 2*b - 1, -5*u - 20 = 5*b. Let j be (-1)\/(-1)*(-1 + 0). Let c be (u\/2)\/(j\/2). What is the greatest common divisor of c and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 32*k - 3*k**3 + 1 + 5*k**3 - 34*k. What is o(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjyljjjjbjjllljsllb. What is prob of sequence jy?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + (-4028)\/(-285))\/((-22)\/(-10) - 2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 201446062 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/9 (b) -2\/29 (c) 3\/5 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*k - 6. Let l be 3\/30 - k\/(-10). Put -2, 4, l in increasing order.\nAnswer: -2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 9750.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363044726?\nAnswer: 2, 11, 67, 71, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2844 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/(4945\/(-69))*40\/(-16)*(-2)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nacw when four letters picked without replacement from {c: 10, n: 2, a: 1, d: 4, w: 1}.\nAnswer: 1\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 6*h - 3*h)*(-3 + 6 + 0) - 3*h - 12*h + 2*h to c*h + x and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 113c38 (base 16) to base 12\nAnswer: 4657b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/(-12))\/(1\/2). Suppose 0 = -2*q - a - 5, -4*q = 4*a + 9 + n. Let l = -2 + 0. Is l smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-3\/5))**(-31) assuming c is positive.\nAnswer: c**(-217\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -458, -750?\nAnswer: -1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*((r**9\/r*r)\/r)\/r))\/r)\/r**(7\/2) assuming r is positive.\nAnswer: r**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 524 + -524. Suppose a = -16*g + 9114 + 46166. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1350.59 * 2126.\nAnswer: -2871354.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/23802 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l - 5. Calculate o(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*y = -14784 + 12974 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 125731182 less than 0.2?\nAnswer: -125731181.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17661, -15997, -13251, -9423?\n\"Answer: 541*x**2 + 41*x - 18243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -2 (c) -1 (d) -3 (e) -1\/10 (f) 3.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 6:38 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 14 - 18 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -563886*f**4 + 4*f**3 - 672670*f**2 wrt f.\nAnswer: -13533264*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174252502.\nAnswer: 2, 87126251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -21. What is the nearest to k in 0.3, -1, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5171 and -0.4.\nAnswer: -0.20684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26b30 - -3a?\nAnswer: 26b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17504.07 months to millennia.\nAnswer: 1.4586725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*i - 2 = 2, 0 = -i - 2. Let j be -3 + m + (-9)\/(-3). Suppose -j*t - t + 18 = 0. Calculate the remainder when 11 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -876*g = -4*j - 877*g + 10, -4*j - 8*g + 108 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -7 - (2 - (6 - (1 - 0)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -170 or -173?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4024*d**3 + 8035*d**3 - 4001*d**3.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-11))\/(792\/(-1452)). Which is the closest to k? (a) 2 (b) -0.06 (c) -0.9 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -873\/5 - -174. Let d = 531 + -531.1. Put 1, l, 2, d in descending order.\nAnswer: 2, 1, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22559 times 0.8\nAnswer: 18047.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*z = -3*m + 752*z + 51, 4*m + 3*z - 73 = 0 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 211 and 2315303?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.044216g to milligrams.\nAnswer: 6044.216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -1757 in descending order.\nAnswer: 0, -5, -1757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) 3\/4 (c) 0.4 (d) 2 (e) 6417.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*3\/((-18)\/(-30)))\/(-1). Suppose 3*i = -i + 4*r - 20, 0 = -c*i + r - 5. Is -10\/7 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - 2. Let d = y - -13. Which is the closest to d? (a) -2\/7 (b) -1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**0*p)*p)**25\/(((p\/((p*p*p*p**16*p*p)\/p))\/p)\/(p*p**(-9))) assuming p is positive.\nAnswer: p**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -52 + 24 + 5*x + 11. Let m be d(4). Solve 6 = 5*z + 4*t + 3, z + 6 = -m*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*g - 14961. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 8*k. Suppose -4*h + 8470 = -w - 5010, 5*h - 5*w - 16865 = k. Suppose -5*v - b + h = 0, 5*v - 3353 = 5*b - 2*b. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/(4\/40). Suppose x + 0*f = -f + 7875, o*x - 39373 = -3*f. Let m = -4774 + x. Round m to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29332118*b**4*t**2 + 33*b*t**2 - 105*b*t - 19*t**2 wrt b.\nAnswer: 351985416*b**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**3 + 14*t**2 - 14*t**2)*((2 + 0 - 1)*(-2*t - t + 5*t) + 5*t + 0*t - 3*t).\nAnswer: -28*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*k**2 - 10 + 21 - 123*k**2 - 49*k**2 wrt k.\nAnswer: -298*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.3616 and 9.\nAnswer: -48.2544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4188 + 4188. Solve 4*t - t = g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -159812*d - 2. Let j(b) = 2*b. What is j(t(v))?\nAnswer: -319624*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 14. Let r(o) = -o**2 + 8*o - 1. Let g be r(7). Which is smaller: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(700) + -3 + 1*(sqrt(700) + 4))**2.\nAnswer: -80*sqrt(7) + 2804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56691068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3221113000 (base 4) to base 8\nAnswer: -3512700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/24 and -53\/126.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1479 or -1?\nAnswer: -2\/1479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 139620 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j**4 - 3*j**4 - 12*j**4 + (j + 0 + 0)*(-2*j**3 + 2*j**3 + 6*j**3) + 0*j**4 - 20*j**4 + j**4.\nAnswer: -34*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*h - 18, -2*u - 2 = -3*u. Let c be (15\/(-12))\/(h\/(-48)). Let v = c - -21. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7080580 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -11*c + 0 + 16*c**2 + 5 - 21*c**2 - c**3. List the prime factors of t(-5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k + 34. Determine g(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -2.53.\nAnswer: 0.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t + 498 = 22*t. What are the prime factors of t?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/54)\/(15\/350)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1032012 (base 4) to base 16.\nAnswer: -1386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 44b8fd?\nAnswer: -44b901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c + 100. Let k(l) = -7*l - 108. Let s(g) = -5*k(g) - 6*u(g). Determine s(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 10 + 15*l**2 - 45*l - 5\/3*l**3. Factor f(y).\nAnswer: -5*(y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -542924?\nAnswer: 2171696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.5 + -0.063.\nAnswer: -13.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/5, -5, 234542?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 9 - 3*i)*(6*i - 6 + 6) + (-3*i - 2*i + 3*i)*(2*i - 6*i + 3*i) to f + p*i**2 + a*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8734176 months to decades.\nAnswer: 0.00727848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-4)*n*n*n**2)\/(n*n**(-2)\/n*n*n**(-7)) assuming n is positive.\nAnswer: n**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(2299) - (sqrt(2299) - (sqrt(2299) + -1*sqrt(2299)))*-5)**2 + 5*(sqrt(133)\/(sqrt(7)*2) + sqrt(57)\/sqrt(3) + 4) + 2.\nAnswer: 15*sqrt(19)\/2 + 2321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 8. Let d(x) = x**3 - 4*x**2 - 4*x + 1. Suppose -4*h + 3*t + 19 = 2*t, h - 4*t - 1 = 0. Let p be d(h). What are the prime factors of l(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/5 (b) -1.88 (c) -17 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + (1*sqrt(325) - sqrt(325))**2) + 5*(sqrt(325) + 3*-1*sqrt(325)))*5.\nAnswer: -250*sqrt(13) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 35*x**3 + 4*x**2 + 2. Let d be p(2). Suppose 7*m - d = 4266. List the prime factors of m.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 3*i + 1. Let z be x(-2). Let g be 6*10\/(-9)*9\/(-6). Solve -g = -o + z*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 (base 7) in base 8?\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39, 47, 57, 69?\n\"Answer: j**2 + 5*j + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 20*v**2 + 11. Let r(h) = 4*h**2 + 2. Let i(x) = 11*r(x) - 2*y(x). Let a(o) = 2*o. What is a(i(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 14*c - 7. Give k(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxxxxvx. What is prob of sequence xxx?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 304*i**3*z + 2*i**3 + 1140*i**2 - 2*z wrt z?\nAnswer: 304*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800625 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 23018 to the nearest 100.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*o + 4 = 0, -t - 2*o = 4. Suppose 2*p - 2 = -2*z + 16, t*z = -p + 6. Suppose -p*j + 84 = -6*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 2*i**2 + 103 - 2*i**2 + 3*i**2 - i**2 + 2*i**3 to the form q*i**3 + x*i + b*i**2 + w and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(832) - 4*(-4*sqrt(832))**2)*4 + 4.\nAnswer: -96*sqrt(13) + 638980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 + (-62 - -51 - (-9 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4021893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 + 6*f**2 - 3*f**2)*(18*f + 2 - 2) to l*f**2 + c + h*f + n*f**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -310*j**3 - 17*j**2 + 64*j + 148. Is n(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.114719215 rounded to 5 dps?\nAnswer: -0.11472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 311301 + -1060?\nAnswer: 310211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/14 and -143\/300?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmcc when four letters picked without replacement from {m: 7, c: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1166*g + 9 = -1175*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 - 16706326575101?\nAnswer: -16706326575101.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 211*f**2. Let j(l) = -l**2 - 1574*l. What is j(c(g))?\nAnswer: -44521*g**4 - 332114*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1906418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-3)*(20\/4)\/(-5))\/((-84)\/(-924))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3698906 and 2674.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1686261, 3372496, 5058731, 6744966, 8431201?\nAnswer: 10117436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 359466 divided by 119822.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3258713\/148 or -22018?\nAnswer: -3258713\/148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 292305 and 691039?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 5 = 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 50852?\nAnswer: 457668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 11 - 120. Let j(k) = 3*k**2 - 146*k - 792. Find the common denominator of 1\/(-3) + t\/6 and j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h - 27. Let v be w(-8). Suppose -5*s + 0*f + 140 = -v*f, -4*f + 128 = 4*s. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 3*a + 48 - 10 - 2*a**2 - 3*a.\nAnswer: -2*a**2 - 8*a + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 153*v**3 - 1149*v**2*z**3 + 6*v**2 + 37207288*z**3 wrt v?\nAnswer: 459*v**2 - 2298*v*z**3 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 1)*-6)**2 + -5.\nAnswer: 72*sqrt(5) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/8 - (-240)\/(-30)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.2. Let h = -30 + 21. Suppose -2*l = 2*y + 8, -66*l + y = -68*l - 9. Sort l, h, i in ascending order.\nAnswer: h, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8165 at most as big as -8161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 28*h + 6. Let p(t) be the second derivative of 32*t + 1\/6*t**3 + 0 + 1\/2*t**2. Let k(s) = b(s) - 4*p(s). What is the derivative of k(o) wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4)*(-40 + 40). Is 6 - ((i - 5) + -10) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 4*u + 9*u)*(3*u - 3*u - 1 + 4*u)*(-2 + 1 + 3).\nAnswer: 64*u**2 - 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-160) - 4\/(-10))\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l - 58 = 76 + 61. Let p(q) = q + 1. Let k be p(2). What is the smallest value in 0.4, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**6\/450 - z**5\/25 - 4*z**4\/15 - 10*z**3\/3 - 193. Let b(m) be the third derivative of d(m). Find j, given that b(j) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 12 = -2*h. What are the prime factors of (42\/10 - h)*20?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2240 is divided by 204.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 10*y + 20. Determine h(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 291*p**2*z**3 - 167*p**2 wrt z?\nAnswer: 873*p**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439 - 290 = -30*i - 560 - 191 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-56)\/224)\/((-1)\/16))\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6958500 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from oogjbogjo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 3:32 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*s**2 - 20*s**3 - 186*s**2 - 21*s**3.\nAnswer: -41*s**3 - 316*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = -20*n + 300. Solve -10*p = -n*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + (-3 + 2 - -34).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -49*j**3\/6 - j**2\/2 + j - 49. Let g(q) = -4*q**2. Give g(t(u)).\nAnswer: -9604*u**2 - 392*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -0.28, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 0.4, -0.1, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4381 is divided by 137?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o + 11. Let p be (4\/3)\/((-18)\/27). Let t(d) = -2*d**2 - d + 1. Let l be t(p). Let z(w) = 3*w + 7. Let i = -9 - -17. Determine i*z(y) + l*j(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 2 = 6*y - v, y + 4*v - 6 = 0. Which is bigger: -105\/74 or y?\nAnswer: -105\/74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*t**2 - 70*t**2 - 8*t**2 - 16*t**2 to l + n*t + z*t**2 and give z.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191 + 4*s - 191.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -22 (c) 3\/10 (d) 0 (e) 3\/13 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -0.3 (b) -85 (c) 3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 10*h - 1180 = 0. What is the tens digit of (-2)\/(-8) - h\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**2 + 4. Let g(s) = -s**2 + s. Let v(j) = -4*g(j) + i(j). Let z be v(-5). Sort -3, 4, z in decreasing order.\nAnswer: 4, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/(-10) + 3*10\/75. Let f(l) = l**2 - 2. Let x be f(-3). Let i = -4 + x. Solve c*j - 7*j + 10 = -i*g, 2*g - 16 = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddddddddccccdddcdcd?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*v**2 + 6*v**2 - 2*v + 2*v.\nAnswer: 37*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-3 - (4 + -7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -433 + -67?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/(-30))\/(-1)*((-189)\/(-120))\/21?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*n - 3*j - 33636511, -3*j = n - 8409109. Suppose -4*u + 21935404 + 501092 = 0. Let q = u - n. What is q rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-52)\/286)\/(24\/(-66)). Sort -4, t, 37 in increasing order.\nAnswer: -4, t, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2 + 1*45 and 2\/(-11) + (-30573)\/946.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3961090 from -514.\nAnswer: -3961604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -255*x + 3. What is the units digit of h(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 5, t: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 3. Let m be x(-2). Let f = -4 + -4. Let c be 1\/1 + 6\/f. Which is greater: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**4 - 4360*y**3 - 130605*y**2 - 38840*y + 2522800 = 0.\nAnswer: -28, -5, 4, 901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1114*h**4 - 1115*h**4 + 2088*h**4 + 3*h**3 - 3*h)*(-3 + 1 + 3)*(-3*h - 3 + 3).\nAnswer: 423*h**5 - 9*h**4 + 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 55a11022 - -3?\nAnswer: 55a11025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*y = -29 + 13, -w + 5*y = -56. Suppose -4*b = -2*u + b + w, 0 = -2*b - 10. Suppose i + 2*r - 27 = 12, -u*r = -2*i + 71. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -510, -685, -858, -1029, -1198?\n\"Answer: p**2 - 178*p - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 925365.5mg?\nAnswer: 925.3655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 190 = 5*d, 9*v + 200 = 5*d + 5*v. Let s = -89 - -5. Let c = 228 + s. What is the greatest common factor of c and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144415968?\nAnswer: 2, 3, 367, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4647 - -7061. Find the common denominator of 46\/33 and ((-68)\/j)\/((-6)\/(-53)).\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbbj when four letters picked without replacement from {j: 3, b: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 171450 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1578\/5, -0.2, 6?\nAnswer: -1578\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167752 is divided by 11183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 2*t**2 + 3*t + 1. Let q(h) = h**3 + 8*h**2 + 6*h - 13. Let i be q(-7). Is d(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6232 and 40?\nAnswer: 31160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20909 and -3873575.\nAnswer: -3852666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*47\/(13818\/42)*4\/(-16)*-14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5 = 4*b, -3*g - 2*g - 13 = -2*b. Suppose 24 = -x - 3*x - 2*k, x + 8 = -k. Put x, b, -3 in ascending order.\nAnswer: x, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, w: 4, k: 3, q: 4}. Give prob of sequence kwkq.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69097 is divided by 623.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 51?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -4514155121?\nAnswer: 4514155113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 7614.\nAnswer: -761.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 109\/5829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 111409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s - 20 = 0. Suppose 2*r - s*r = 5*a + 1, 16 = a - 5*r. Let t = -8\/13 + 163\/286. Which is greater: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001 take away -33.06?\nAnswer: 33.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 119057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50278933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1191 less than or equal to 715\/824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 - -67.9973. What is y rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7746.\nAnswer: 2, 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.36 - 0.26. Let k = x - 0.8. Let o = -0.01 - -4.01. Sort k, o, 5 in ascending order.\nAnswer: k, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*r + 103*r - 14*r - 5099*r**3 + 42638*r**3)*(-r - r + r).\nAnswer: -37539*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*(-2 + (-8 - -9)) + 1. Put u, 0.4, -0.34 in descending order.\nAnswer: 0.4, -0.34, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -12*z + 790. Calculate g(20).\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + 29. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 32. Let u(f) = -f**2 + 4*f + 8. Let n be u(r). Let s(h) = 2*h**2 + h. Let g be s(-1). What is the highest common factor of g and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -127, -191, -255, -319, -383?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1300)*-1 + sqrt(1300)*1 + 3 - (sqrt(1300) + 5*(1 + sqrt(1300) + sqrt(1300)) + sqrt(1300) + 1 + sqrt(1300) + -3))*-2)**2.\nAnswer: 878800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15648 is divided by 1418?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18207641?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2367440, -4734580, -7101720, -9468860, -11836000, -14203140?\nAnswer: -16570280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -53*n**3 + 5*n - 5*n + 55*n**3 - 2*n - 5*n**2 - 16. What are the prime factors of m(5)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4778979098 to the nearest integer?\nAnswer: 69130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*2\/24 - 1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*w - 55*w**3 + 53*w**3 + 13*w)*(-1 - 3 + 3) to the form n*w**3 + m + a*w + h*w**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**4 - 265*h**3 - 3885*h**2 - 9875*h - 6250 = 0. What is h?\nAnswer: -25, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 22. Calculate the remainder when 46 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(150) - (sqrt(150)*-2 + sqrt(150))).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 12*q**2 - 16*q + 95. Let s be z(15). Let m = 537 - s. Solve m*p = 9*p - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -5, -611, -0.2, -3, 1.2 in descending order.\nAnswer: 1.2, -0.2, -0.5, -3, -5, -611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23314 - -23824. Which is the second smallest value? (a) 12 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.75 + -0.4. Let d = -15.65 - u. Let a = 15.9981 + d. What is a rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-14) - (-45)\/756)\/((-645)\/(-120))?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 14. What is the smallest common multiple of 1\/(-5) + 847\/35 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23\/42 + -5\/7. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**0\/k)\/k*k**(-2)\/k*k*k**(2\/3)*(k\/(k*k**5*k*k))\/k*k)**24)**(-1\/6) assuming k is positive.\nAnswer: k**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 6, x: 1, l: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 23*g**2 - 12*g - 13. Is r(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 + 11*n + 22. Let p(j) = -8*j**2 - 23*j - 44. Let d(i) = 2*p(i) + 5*t(i). Factor d(w).\nAnswer: -(w - 11)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.0924 rounded to one decimal place?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 9.38. Let m = 36.38 + i. Let r = m + -37.000022. What is r rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, r: 5}. Give prob of sequence rs.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**4 + 545*a**3 - 1115*a**2 - 545*a + 1110 = 0.\nAnswer: -111, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - n - 4 = -0*n, -4*u - 3*n = 12. Suppose 2*m + 2*q - 14 = u, q = -3*m + 4*q + 3. Solve -y = -m, 0*y - y = -f - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195644189?\nAnswer: 13, 563, 26731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 25*u - 29. Let f be ((-1)\/(8\/(-44)) - 3)*-2. Let x be y(f). What are the prime factors of ((-10)\/7)\/(11\/x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 = 2*c. Let x be (33\/22)\/(c\/4). Solve -j - 2*j = x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.53 + -9.843.\nAnswer: -6.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8356979\/5 + -1671395. Factor c*t**2 - 28\/5*t - 32\/5.\nAnswer: 4*(t - 8)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -270*g**4 + 18*g**2 + 36*g + 7. Let m(n) = -271*n**4 + 15*n**2 + 36*n + 6. Let h(o) = -5*c(o) + 6*m(o). What is the second derivative of h(i) wrt i?\nAnswer: -3312*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) 10 (c) 0.78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 358008, 716017, 1074026, 1432035, 1790044?\n\"Answer: 358009*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -57128505 less than or equal to -57128504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 2\/4531, 1\/2, -5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*a = -70 + 80, 5*a + 24 = -2*z. Put z, -5, 3, -0.18, -0.3 in decreasing order.\nAnswer: 3, -0.18, -0.3, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159*g*y**2 + 479*g*y + 2*y**4 wrt y?\nAnswer: 318*g + 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 39 = 7*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.19778ml to litres.\nAnswer: 0.09319778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -8*x**3\/3 - 9. Let q(d) = -d. What is c(q(l))?\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**2\/2 + 6. Suppose -f - 4*s = -0*s + 6, 4*f - 2*s - 12 = 0. Let i(x) = 11*x**2 - 2 + f - 15*x**2. Determine u(i(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -278527\/4 or -69632?\nAnswer: -69632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -267. What are the prime factors of h?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4618 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 229, 247, 265, 283?\n\"Answer: 18*r + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 9*g = -64566. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -970*w + 7 + 4945*w - 967*w - 966*w - 2038*w.\nAnswer: 4*w + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, -20, 1 in decreasing order.\nAnswer: 7, 1, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + w + 13 = -0*w, -2*f - 3*w = 9. Let u be 1 - (-4)\/(-12)*f. Calculate the highest common factor of u and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -17.5. Let q = 0 + x. What is the fourth smallest value in -0.4, 2, q, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*p, 2*p - 34 = -4*x + 12. Suppose 4*i = -q + 11, 0 = -4*q - 2*i - x + 40. Let s = q + -7. Solve 12 = -3*c - s*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 1\/2*i**3 + 0*i**2 + 7\/2*i.\nAnswer: -(i - 3)*(i + 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 50*k**2 + 370*k + 11. Calculate m(6).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61121140 is divided by 1021?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (1 - -2) - -4. Solve -p - 3*p + 3*w = 16, -w = s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 227\/12, -5, 0.4, -2\/11, -15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 8342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p + 4. Let m(a) = -3012*a**2. What is x(m(f))?\nAnswer: -15060*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-69))\/((-259)\/666*6)?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 7. Let r(k) = 7*k**2 + 3*k - 3. Let g(a) = 10*a**2 + 5*a - 5. Let u(q) = 5*g(q) - 7*r(q). What is the units digit of u(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021324022 (base 5) in base 15?\nAnswer: 2c2de2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -50120, 22.\nAnswer: -50120, -2, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 7*b + 7*b - 73 = -43, 6 - 230 = 12*h - 4*b for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5006367 + 2?\nAnswer: -5006365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -335113, -670226, -1005339, -1340452, -1675565?\n\"Answer: -335113*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 2. Suppose -16 - 51 = -q. Let a = 69 - q. Give h(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6325534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**(-4\/9)*((w\/(w\/((w\/((w*w\/(w**(-24)*w*w))\/w))\/w*w)))\/w)\/(w**(6\/5)\/w) assuming w is positive.\nAnswer: w**(-328\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26245394 - -26245468.000172. Let s = 10.5 + -84.5. Let y = p + s. What is y rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 31*j**2. Let h(z) = -4*z - 3. Let i be h(-2). Suppose 3*p = q - 8, 0*q - 10 = i*p - q. What is the units digit of s(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 32*l**2 + 2\/3*l**6 - 16*l + 19*l**4 - 28\/5*l**5 + 2 - 100\/3*l**3. Find f such that m(f) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d + 21673 = -167 - 9984. Solve 13*i + 738 - d = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 5*r**2 + 2. Let y(s) = -s**3 + 5*s**2 - s + 3. Let j be y(6). Let i = j - -44. Determine b(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -3. Let m be 3 - (-348)\/8*775172\/y. Round m to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -62. Calculate the remainder when 3 + 2\/(-1) + 57 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 2*h - 5. Let p be t(-3). Solve 0 = 2*b + 1 - p, -b + 7 = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2408, 4793, 7178, 9563, 11948?\n\"Answer: 2385*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -1, 4, 38, -16, 33, 1 in ascending order.\nAnswer: -49, -16, -1, 1, 4, 33, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39 - b73?\nAnswer: -b3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5671, 22989, 52355, 94183, 148887, 216881, 298579?\n\"Answer: 69*r**3 + 5610*r**2 + 5*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwhwwwwwww. Give prob of picking 4 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -21 (b) -26 (c) -1\/4 (d) 0 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wngg when four letters picked without replacement from {n: 1, g: 2, j: 2, w: 4, r: 1}?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -190 (b) -0.1 (c) -2 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102001220121 (base 3) in base 5?\nAnswer: 23433111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 33 = 5*v, -2*v - 2*g - 3 = -3*v. Let y(d) = -7*d**2 - 5*d + 5. Let z(o) = 3*o**2 + 2*o - 2. What is v*z(s) - 2*y(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144*d**3*j**4 - 32*d**3 - d**2*j**6 - 11*d**2*j**2 wrt j.\nAnswer: 3456*d**3*j - 120*d**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 30*o + 29. Calculate the common denominator of ((24\/(-20))\/(o\/(-15)))\/(-7) and -13\/31.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/7 and -53\/209550.\nAnswer: 1466850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x - 6. Let c(b) = -1. Suppose -5*u - 2 = -27, 10 = 5*i - 4*u. Let s(v) = i*c(v) - k(v). Let r(q) = 13*q**2. Calculate s(r(y)).\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -6*x + 8*b - 16*b + 9*b, 5*x - 10*b + 65 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4 + sqrt(448) + sqrt(448) + 4 + 4)**2)*-4 + -2.\nAnswer: -7730 - 1536*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (81*-3)\/((-3)\/(-1 + 22)). Suppose 3*r + 5*b - 1276 = 0, 5*r - g - 479 = 5*b. Is r a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -5, 0.15, 1.1, -2\/5 in increasing order.\nAnswer: -5, -4\/5, -2\/5, 0.15, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46885 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 210001 (base 3) to base 16\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, w: 3, j: 8}. Give prob of picking 1 j, 1 a, and 1 w.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3\/2 + 2300*s**2 + 883198*s + 1173512 = 0. What is s?\nAnswer: -766, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151 - 101. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70652430715\/7 - 19076882840207\/1890. Let v = 384417 + u. Calculate the common denominator of v and -7\/20.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000014051 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 15 = -6*c. Suppose 11*a - 8*a - 5*v = 14280, -5*v + 23840 = c*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/11 - 3570*y**2\/11 + 2124150*y\/11 - 421289750\/11.\nAnswer: 2*(y - 595)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 99.58 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, s: 2, a: 1, k: 4, v: 3, t: 2}. What is prob of sequence vt?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23161 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3353212.\nAnswer: 2, 29, 137, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 0.182, 433, 1\/5?\nAnswer: 433","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -0.1 (c) 0.86 (d) -3.2 (e) -3476\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 702.093*-1.5\nAnswer: -1053.1395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-2))\/((-15)\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1360)\/6 - (1 + 12\/(-18)). Let p be q\/(-5) + (-93)\/(-155). Let v = p - 42. Solve -j + 6*j + m - 6 = 0, 0 = -5*j - v*m - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + u - 3*u - 9*u + 4*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -20?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 2*h - 4. Calculate l(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -3)*29\/580*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 35 + 2*q + 3\/2*q**4 + 5*q**2 + 14\/3*q**3. Let f(s) = 0. What is s?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42444918 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 41 + 11)*(0*i**3 + 4*i**3 - 6*i**3) + (-1 + 1 + 2*i**2)*(3*i + 6*i - 5*i).\nAnswer: 58*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4 and -729.\nAnswer: -1020.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 783 by -29.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 86885325 divided by -7275?\nAnswer: -11943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 6100.\nAnswer: 54900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a hour in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1100003*y - 3. Let o = 31 + 4. Let j = 36 - o. Let n be g(j). What is n rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-622)\/6 + (-2)\/6. Suppose -2*t + 3*t - 5 = 0, -t - 7 = f. What is the units digit of p\/f + (-4)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - a + 1695 = 13*c, -1284 = -3*c - 5*a. Calculate the remainder when c is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 101120111?\nAnswer: 101120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b\/(b*b\/(b**(-1)*b)))\/b))\/b)**(-38)\/((b\/(b*b**(-6)\/b))\/b*b**(-1\/9)*b))\/((b*b\/b**(-1\/3)*b)**(3\/14))**(2\/19) assuming b is positive.\nAnswer: b**(-99308\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - -58. What is the remainder when f is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 7) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 667375 + -5?\nAnswer: 667370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64522 and 64522?\nAnswer: 64522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 23*q + 24. Let z be g(11). Calculate the greatest common divisor of 169 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 82234 = l, 2*l - 23329 = x + 141152. Round l to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39132427 to the nearest ten thousand.\nAnswer: -39130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9097.926 years in centuries?\nAnswer: 90.97926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*v = 50, v - 2*v + 50 = 5*a. Let j(i) = -5*i + a*i**2 - 2*i**2 + 10 - i**3 - 8. List the prime factors of j(4).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072929 to the power of 1\/2, to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5227, -5226, -5225, -5224, -5223, -5222?\n\"Answer: d - 5228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 1. Suppose -l*z = z + 9985. Let c = -9923\/5 - z. What is the common denominator of c and -47\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93488834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**2\/2 - 8*v - 42. Suppose 0 = 4*z + z. Calculate b(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-324)\/45*6800\/6. Round q to the nearest one hundred.\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9.9526 minutes?\nAnswer: 597156000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (72 - 81 - (-16 - 2) - 4).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5109a972 - -3?\nAnswer: 5109a975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**2 - 233*v - 364. What is n(-56)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -3*j. Suppose j*g + 3*g - 10 = 0. Suppose -g*z = -v + 3, 3*z - 6 = -0*z. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -22. Let y = -10 + x. Let z = 15 - y. Solve z = -h + 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -73*h**5\/5 - h**4 - 393*h + 75. What is the derivative of k(c) wrt c?\nAnswer: -292*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*2\/132*5\/25*-3?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/2)\/((-1)\/(-2)) - (-2016)\/(-392).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 46*b - 6*b - 19 = 28*b + 17*b, 0 = -m + 3*b + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 205467079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Let z be 10*(-15)\/(750\/20) - -2. Is 1473 - (-4 + o)*z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*y = 7*y + 40, -3*y = -r - 25. List the prime factors of (-1111)\/r*(3 + -1).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-30)*1)\/(1\/10). Suppose -2014 = -l*v - 3*m, m - 227 = -v + 276. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, t: 3, i: 1}. What is prob of picking 3 t and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5 - -15) + -6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**8\/210 + 4*o**7\/525 + 7*o**6\/60 + 23*o**5\/75 + 23*o**4\/60 + 4*o**3\/15 + 4*o**2. Solve x(r) = 0.\nAnswer: -1, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(180) + sqrt(180))*5)\/sqrt(3))\/(2*sqrt(24)\/sqrt(2) + -6*(sqrt(48) + sqrt(12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -157 or 524746?\nAnswer: 524746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19362 - 18031. What is the remainder when l is divided by 267?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7)\/(s*s\/((s**(3\/4)*s*s)\/s))*((s\/(s**7\/s))\/s)\/(s\/((s*(s**9\/s)\/s)\/s)) assuming s is positive.\nAnswer: s**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -627*c**3 - 12*c**2 + 5306*c + 2. Let q(p) = -7*p**3 + 6*p**2 - 1. Let h(m) = -2*q(m) - z(m). Find the second derivative of h(x) wrt x.\nAnswer: 3846*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -195*q. Let h(p) = p + 22387. What is o(h(z))?\nAnswer: -195*z - 4365465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -384*b - 23042. Calculate m(-60).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -37*p**2 - 4*p - 4. Let j(w) = -75*w**2 - 9*w - 9. Suppose g + 17 = -3*c, -14*g - 5*c + 0 = -21. Calculate g*j(n) - 9*d(n).\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (2 + (-2 - 0)). Let l be -3*(1 + (d - 1)). Suppose 9*z - 4*z - 25 = 0. What is the nearest to 1 in -2, l, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109808816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*b + 6*b - 3*b)*(3*b + 0*b - b) + 67 + 79 + 6*b**2 - 152 to the form o*b**2 + d + l*b and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169\/249 + -1\/83. Let x(y) = 12*y**2 - 76*y + 28. Let g be x(6). Which is the third smallest value? (a) 0.3 (b) 180 (c) g (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 192*f**2 + 2171*f + 1980.\nAnswer: (f + 1)*(f + 11)*(f + 180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3107643 and -13.\nAnswer: 40399359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 - 3640*q**3 + 18045*q**2 + 21690*q.\nAnswer: 5*q*(q - 723)*(q - 6)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*1 - 1)*(-2688)\/(-504)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 569\/(-30)*(1 - (-3198)\/(-126)). Let j = -3225\/7 + x. What is the common denominator of j and -23\/39?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.22 + -0.3. Let l = 0.58 + b. Put l, -2, 3 in increasing order.\nAnswer: -2, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-16))\/(-7) - (-234)\/104\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(11)*-2 + 4)**2*-1 + 0 - ((sqrt(1375) - 1*sqrt(1375) - sqrt(1375)) + sqrt(55))\/(-1*sqrt(320))).\nAnswer: -120 + 31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 10, -o + 13 = -29*x + 24*x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 10:10 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 + (24 + -15 - 2 - -14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 29 + 9. Let h = 1.3 + -1. Let p = -0.8 + h. Sort p, u, 2 in ascending order.\nAnswer: p, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - -154332?\nAnswer: 154323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (54\/8)\/((-1035)\/(-460)). What is the fourth biggest value in w, 12, -2\/5, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2 + 2 + 1 - 1 + (-6 - 3 + 3)*(-3 - 3 + 8) + (1 - 2 - 1)*(3 - 1 - 3))*(9*c**2 - 9*c**2 - 2*c**3) as y*c**2 + p + r*c**3 + u*c and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1012 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6168329 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/125 in 4, 5, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281\/6 - (-2 - (-33)\/18) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203499 is divided by 202531?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*(-2 + sqrt(612) + 5 + (-6*sqrt(612)*-4 - sqrt(612)))*3 + 2))**2.\nAnswer: 4644000*sqrt(17) + 1982926225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 60 - 2?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y - 8*y = -50*y. Solve y = -20*i + 9*i + 22 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2.2, -4, -10\/79 in descending order.\nAnswer: 2.2, 1, -10\/79, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 12, -3, 2.64138?\nAnswer: 2.64138","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, z: 2, c: 1}. Give prob of sequence nn.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.939? (a) 1 (b) 0.4 (c) -3 (d) 3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 + 232*r + 20 - 54 in the form m + v*r and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 59 - 51 = 0. List the prime factors of u + (-3 - -3) + 166.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/6)\/(10\/375). Suppose -q = 2*y - 7*y. Calculate the remainder when y is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*r**5 + 7*r**3 + 2*r + 10?\nAnswer: -100*r**3 + 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 4*b - 59. Suppose 0 = -9*g - 35 + b. Let f(p) = -p**2 - 2. Let t(l) = l**3 + 6*l**2 + 11. Give g*t(h) + 11*f(h).\nAnswer: 2*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 + (-66)\/(-4). Let l = f - -4. Does 3 divide (10\/l)\/((-1)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w*w*w*w**(-3\/10))*w)**(-3))**(-37) assuming w is positive.\nAnswer: w**(-777\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 <= -4\/133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 12. Let q = -20 - y. Let z = q + 13. Put -2\/3, -1\/5, z in ascending order.\nAnswer: -2\/3, -1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*392\/2380*21\/2205?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 - -18732?\nAnswer: 18701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-2)\/(-1)) - (-10 - 5). Suppose 4 = -s, 14 = 3*p + 3*s - u. Let t(f) = 3*f - 16. What is the units digit of t(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 30 = 5*x, -x + 352*l - 2450 = -258*l for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1412 - 1355 - (1 + (3 - 1) + (11 - 5)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4366729079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 253240374 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 128 = -104*w + 38*w. Put -1, 0, 6, w, 4 in ascending order.\nAnswer: w, -1, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884 divided by 17?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*x + 8369 = 0, 159*j - 161*j + 8320 = 4*x. Is j a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24386506\/5 less than 4877301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 4:18 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000065527375 rounded to 6 decimal places?\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 - 5907821864?\nAnswer: -5907821862.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -446 + 446.1. Let r = 0.79 + 0.11. What is the closest to 0.2 in r, -1\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i - 22. Let v be o(5). Let s = 12 - v. Find the third derivative of 3*z**2 - 4*z**4 + 3*z**4 + 5*z**s - 6*z**2 wrt z.\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*q = -85*q + 108 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113182 to the power of 1\/2, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971022?\nAnswer: 2, 3, 13, 59, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/((-3)\/72). Let r be c\/54 + 38\/9. Suppose -11996 = -5*n - r*l, 2*n + 2*n - 4*l - 9604 = 0. What is n rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 18*u**2 - 7*u - 335. Let p be f(14). Calculate the greatest common factor of p and 432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/(-18))\/((-33)\/77*5880\/(-900)).\nAnswer: 25\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11342.3 and 1750?\nAnswer: 9592.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 16032*c - 16034.\nAnswer: 2*(c - 1)*(c + 8017)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9858 + 501 = 3*y. Suppose -b = -4*l - y, -17*b + 17170 = -12*b - l. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*j + 2*i, 12*j - 8*j + 4*i = 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((352\/(-110))\/(-16)*0)\/((-10)\/5))\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, -3.6, 2\/7, -5, -31 in ascending order.\nAnswer: -31, -11, -5, -3.6, -3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -19*r**7\/70 + 4*r**4\/3 + 7*r**2. What is the second derivative of j(a) wrt a?\nAnswer: -684*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 47*o**2 + o**2 + 10*o**2 as q*o**2 + p*o + i and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7689\/4 + -1923. Let g be (3\/(-24))\/(2\/12). Is y less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*70\/(2375660\/(-71)).\nAnswer: 2\/239","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -27*n**3 + n**2 + n + 1. Let v be u(-1). Suppose 3*g + 10 = -2*g, -2*q + 2*g = 0. Let h = q + 31. Is v greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5080008968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1536 = 4839 + 574. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18235.\nAnswer: 5, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 396 + -376. Suppose 2*t = -j + 4*j - 9, -t = -3*j + 9. Solve t = -5*u + u + v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 299*i**2 - 4*i + 20. Let u be p(10). Suppose f = -5*f + u. Round f to the nearest 100.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -169*x**3\/3 + 459. Let z(v) = -4*v. Calculate z(b(u)).\nAnswer: 676*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Suppose 2*w - f = f, b*w = -f + 12. Suppose w*c = 155 + 153. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29329 is divided by 14663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -3*x**2 + 1. Let k(h) be the second derivative of h**3\/6 + 95*h. Give s(k(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -44*d**2 + 5230*d - 29216. Calculate u(113).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 7. Let d be (4\/3)\/(4\/6). Suppose d*z + b*y - 1 = -11, 2*z = 5*y + 25. Do 0 and z have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324648 and 422343.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 1127658.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 54*o**2 + 17*o - 21. Let b be (5\/2 + -1)*(-80)\/12. Is i(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399278 is divided by 184.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -82*t**2 + 212386*t\/7 - 2220\/7.\nAnswer: -2*(t - 370)*(287*t - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000065903 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 + 7*m - 1. Let o(b) = b**2 - 2*b. Let a(h) = -11*o(h) - 4*z(h). Let g be a(6). Calculate the highest common factor of g and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6866\/11 + -624. Let n = 0.32 - -21.68. What is the second biggest value in n, -3\/11, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1211\/8 - -159. Let x = 8408\/7 + -1198. Calculate the common denominator of x and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 5, i: 1, k: 4, g: 1, o: 4, m: 4}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.6 + 7. Let k = -2599.1 + 2599. Which is the biggest value? (a) k (b) -26 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3681786*-97.\nAnswer: -357133242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 2*m = -3*p + 17 - 51, 4*p - 2*m = -10*m + 52 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -537d066?\nAnswer: 537d064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*r - 5*n - 5 = 0, n = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from zswzpzwwzzwzzsz.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -355 + 357. Suppose 2*x - 2*z = z + 29, -d*x - 5*z + 69 = 0. Calculate the remainder when x is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s + 1. Let r(i) = -1. Let p = -17 - -14. Calculate p*r(o) - a(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 33.1. Let h = 2 - d. Which is the nearest to -3\/4? (a) 2 (b) h (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 942599 - 471299 - 471300 - 6*a**2 - 5*a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2144*r**2 - 966 + 242 + 238 + 234 + 246 as z*r**2 + b + y*r and give z.\nAnswer: -2144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Let l = -5 + 5. Suppose -5 = 5*h - 20. Solve -h*j = k*a - 4, -2 = -2*j - 2*a - l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**2 + 8*t + 192 = 0.\nAnswer: -8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a. Let n be i(0). Suppose b + n = 1. What is the common denominator of -73\/6 and (-3 + 88)\/(-12*b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 4*v**2 + 4*v. Let f be n(-2). Suppose -4*l + 1 - 5 = f. Sort 5, -4, l, -16 in descending order.\nAnswer: 5, l, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + c. Suppose 3*p - 3 = 2*i, -3*i - 222*p = -217*p + 33. Let x(f) = 7*f**2 - 6*f - 31. Determine i*u(s) - x(s).\nAnswer: -s**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/5 in -1\/55, 2\/7, -40, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r - 1. Suppose 0 = 4*t - t + 33. Let l(o) = -9*o - 5. What is t*s(z) + 2*l(z)?\nAnswer: 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263718 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-2)\/sqrt(6) + sqrt(19) - sqrt(19)) + (2 + sqrt(171))**2.\nAnswer: 10*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1434684 and 660.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 - 62*a + 35. Give t(19).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from {a: 1, q: 2, n: 1, c: 2, k: 1, z: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.392933 to two decimal places.\nAnswer: -24.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -445 + 5?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1053 divided by 2850\nAnswer: -351\/950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -4 - (-4 - (3 + -7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqu when three letters picked without replacement from {i: 1, q: 3, u: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/126, 44, -34, -0.01, 0.02 in descending order.\nAnswer: 44, 0.02, 1\/126, -0.01, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 s when two letters picked without replacement from {n: 1, l: 2, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 - -61?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-252)\/8)\/(-7)*(-16)\/(-18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/1152 and -55\/432?\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079427 is divided by 3684.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -702, -2472, -5310, -9216, -14190?\n\"Answer: -534*z**2 - 168*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(8\/3) - -20. Let o(u) be the first derivative of k*u + 4*u**4 + 75 + 3*u**4 + 3*u - 61. Differentiate o(g) wrt g.\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 766*f + 61562. Give d(-80).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06022720687 + 163.93977251813. Let m = w - 164. Round m to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 7, w: 6}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(((x**(-11)*x)\/x)\/x))\/x**9*x\/(x**9*x)*x**(-10) assuming x is positive.\nAnswer: x**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o**2 - 19*o**2 + 1596*o**3 + 54*o**2 - 17*o**2.\nAnswer: 1596*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 780 and 1140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24 (b) 513\/7 (c) 1 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v + 43. Is x(-7) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0853 - -0.4853. Sort -2, -1\/60, m.\nAnswer: -2, -1\/60, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.6 and 198.\nAnswer: 196.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -652*q**5 - 3*q**4 + 119*q**5 + 3*q**4 + 57*q**5 + 830*q wrt q?\nAnswer: -9520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**(10\/3))*o**(-23)*o*o assuming o is positive.\nAnswer: o**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9410 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p - 22*p = -387. Calculate the remainder when 2041 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2205, -8819, -19857, -35331, -55253, -79635?\nAnswer: -108489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-18) - (51 - 1478656\/29070).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 36. Let q = 0 + 5. Suppose c - q*c + 12 = w. Solve 0 = 2*b - c*f - 7, f + 10 = -f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, m: 10}. What is prob of sequence ml?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*f - 6837 = 0, 2541 + 4284 = -4*g + f. Let j = -367 - g. List the prime factors of j.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12\/23 - -38\/161. Let k = -3 + 4. Which is the closest to k? (a) -1\/6 (b) -1\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280\/5*(2\/4*4)\/(126\/(-18))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -67002, -66995, -66984, -66969?\n\"Answer: 2*w**2 + w - 67005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -634\/5 + 126. Let t = 215 + -210. What is the second smallest value in t, 4, y, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*h**4*k**3 - 2548830*h**4*k**2 + h**2*k**3 + 45255*h**2*k**2 + 9*k**3 wrt h?\nAnswer: -936*h*k**3 - 61171920*h*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1424728 > 8\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (-8 + 16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 - s + 31*s**2 + 4 + 3*s**3 - 31*s**2 + 47*s**5 + 1 wrt s.\nAnswer: 940*s**3 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(5\/7)\/h*h*h)\/h)\/(h**(-7\/2)\/h) assuming h is positive.\nAnswer: h**(87\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 4*h**2. Suppose -2*o + 10 = -18. Let p = o - 10. Let c be j(p). Solve 4*a - a + 4*l + 22 = c, a = 2*l + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-15)*((-805)\/(-42))\/(-23)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316 (base 12) to base 10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 33 - (-5)\/(15\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*i = 769, 6*s - 10*s + 5*i = -607. List the prime factors of s.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -39. Is 38668\/44 + s\/(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {m: 7, q: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14639?\nAnswer: 14639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g**3 + g + 1. Let y = 9 + -10. Let t be j(y). Let x be 6\/(-4)*(-52)\/t. Calculate the greatest common divisor of 143 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-2\/43)*k*k*k\/(k**(-24)*k)*(k*k\/(k**(-4)*k)*k*k*k*k)\/k**(7\/10) assuming k is positive.\nAnswer: k**(15159\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**3 - 3*r**2. Let w be a(2). Let u be (-2)\/(-5) + 32\/w. Solve g + 4*g = 15, g = u*d + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 10 = -3*x + 3*p, -3*x + 14 = 2*p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 11:27 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011 (base 3) to base 9.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5.1, -3 in decreasing order.\nAnswer: 5.1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 6. Solve -6 = 3*r, -5*q + f*r = 1 - 26 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, 901, -1 in ascending order.\nAnswer: -7, -1, 1, 901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 4*k**3 + 27*k**2\/2 - 3050*k + 1717. Differentiate p(l) wrt l.\nAnswer: 24*l + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/280*-5)\/(-1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c - 19*c - 5*c - 22*c to n + p*c and give p.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 1, 0, -1\/2, 9 in increasing order.\nAnswer: -1\/2, -1\/8, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 2, -7, -3, 4, -107 in ascending order.\nAnswer: -107, -26, -7, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -14\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*j - 191*j = -230 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 33447090.2 to the nearest 1000000.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*j = -4*j. Suppose 0*w + 3*w = 3*d - 34199988, -2*w + 4*d - 22799984 = j. What is w rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 674110, 674099, 674088, 674077, 674066?\n\"Answer: -11*y + 674121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8 - (-10)\/(-24). Let z = 1 - 0.8. Let c = 0.41 + -0.01. Put c, z, p in increasing order.\nAnswer: p, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -383459*w**4 - 91278?\nAnswer: -1533836*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13334477.\nAnswer: 13, 17, 60337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1638)\/(-336) - ((-2)\/(-16))\/(-1). Suppose 5*a = c*x - 30, -x + 8 = -8*a + 6*a. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -128*s - 87 + 1111 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 5:10 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38e + 2a?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 156 - 136 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from zwcnk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 805 and 4262230.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -50392\/19477 less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = -10*d - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/(-204))\/((300\/(-5))\/4)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 17 = 5*p, 0 = 5*j - 3*p - 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1049\/4 > 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-4 - -3 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 4:16 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 6*s - 3. Suppose -s*p = 9, p + 4 = c - 1. Let j be 8\/10*(380\/8)\/19. Solve -3*g - j = c*k, -k - 2*g - 3 = -0*g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -k + 6*q - 3*q, -3*q = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-123)\/41)\/((-3)\/5). Suppose 10 = -g*q, k + q - 5 = -4. Suppose -2\/19*z**k + 2\/19*z - 2\/19*z**4 + 0 + 2\/19*z**2 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 4. Let p = 2 - o. Let q = -0.5 + 0.3. What is the closest to -0.1 in p, -2\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) - ((-39)\/6 - 1). Suppose 5 = o*c + 13. What is the hundreds digit of c + (-1)\/2*-254 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 44 = 6*a. Suppose 4*f - 6 = 3*w, 5*f - 4*w = 3 + a. Suppose f*m - 44 + 8 = 0. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkc when three letters picked without replacement from ccyyykf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38856 + 159713. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2. Let r(w) be the third derivative of w**5\/12 + 4*w**2. Give r(o(p)).\nAnswer: 20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + (6 - 26) - -16) + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4801.89299 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 22 = -5*i, 2*t - 29 = i - 22 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 4*q - 6. Let i(n) = -10*n - 6. Let l(p) = 3*p + 2. Let o(x) = 2*i(x) + 7*l(x). What is 2*f(y) + 7*o(y)?\nAnswer: 2*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 18 - 2)*(i**4 - 2*i**4 + 2*i**4) + i**4 - i**3 + i**3.\nAnswer: -14*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -20*n**2 - 706*n - 210. Let s be v(-35). Solve s = 3*k + 3*y + 23 - 32, 0 = 5*k + 3*y - 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*q = -0*q + 2, 4*h = 2*q + 8. Let y = 0.8 + 0.2. Sort h, -3, y in decreasing order.\nAnswer: h, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*(0 + (sqrt(125) + (sqrt(125) - (-3 + sqrt(125))))**2))*5*-3 + 1.\nAnswer: -7964 - 1800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4322015 - -102?\nAnswer: -4321513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**3 - 21*f**2 - 27*f + 189 = 0. Calculate f.\nAnswer: -3, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -3, 6, 2 in ascending order.\nAnswer: -3, 2, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.38 + 0.08. Let o be 15\/5 - (9 - -2). Let b be 8\/(-12)*(-2)\/o. What is the third biggest value in -3, j, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507036174 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*(sqrt(2299) + (sqrt(2299) - (sqrt(2299)*-5 + -3 + sqrt(2299))) + -2))**2.\nAnswer: 2112*sqrt(19) + 1324237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7\/18 + 1\/9. Let l = 37488 + -412366\/11. Let s = 0.36 - 0.06. What is the smallest value in k, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - -0.95. Let u = 1 + d. Let q = 56414 - 56419. What is the second biggest value in q, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10 + 38\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 134\/7, -2, 2\/15?\nAnswer: 134\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 25 = -k. Calculate the remainder when 687\/15 - 1\/k is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 + -5 + 180 + -251\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from yydavdfdvve.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92 - 297. Which is smaller: a or -204?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21131*g**2\/2 - 63403*g\/2 + 15 = 0. Calculate g.\nAnswer: 10\/21131, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -120969957 rounded to the nearest ten thousand?\nAnswer: -120970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 87927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -609.8 + 609.6. What is the biggest value in 0.4, 1074, z?\nAnswer: 1074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 937 + 22?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfrifeweeieffi. Give prob of sequence weg.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**4\/4 - 4*w**3 - w**2 + 24*w - 14. Let q be a(12). Let i = -1.4 + 1. What is the nearest to q in -2\/7, i, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 15*d + 4*d + 6 - 8.\nAnswer: 19*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 71*d**2 - 3*d + 4. Let a(i) = 80*i**2 - 4*i + 5. Let z(c) = 3*a(c) - 4*n(c). Let l(t) = 2*t**2. Determine l(z(b)).\nAnswer: 3872*b**4 + 176*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6 - 3 - 1 - 3. Let r = 3 + -2. Let o(l) be the first derivative of l**3 + 2*l + 5805. Give r*o(f) + 2*j(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*n - 21 - 9, -5*i + n + 39 = 0. What is the nearest to -1 in -2\/13, 4, i?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*w + 5*g, -8 = -3*w - w - 5*g. Solve w*z = -0*z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*l + 14 = 34, t - 2*l = 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 919401?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24\/7 (b) 4 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*f + 541*f - 5*z = -5, 56*z + 13 = 3*f + 61*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5160, -5233, -5306, -5379, -5452, -5525?\nAnswer: -5598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3927 is divided by 302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9492\/4321 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -2, 3, -3 in decreasing order.\nAnswer: 3, -0.8, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -10. Let s(w) = 2*w**3 - 3*w**2. Let j be s(2). Factor -2*x**4 + 4*x**2 - x + x**3 + v*x**4 - 2 - j*x**4 - x**2.\nAnswer: -(x - 2)*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*m + 62, -3*j = -5*j + 3*m + 30. Let v(n) = -164*n - 2. Let q be v(-1). Calculate the highest common factor of j and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + 5. Suppose 0 = a - 4 - 3. Is v(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -340?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 638970989 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 6. Suppose 0*i = 10*i. Let v be g(i). Let c(b) = b**3 + 7*b**2 - b - 2. Give c(v).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1757046 = k, -3*k - 1405652 = -1330*i + 1334*i. What is i rounded to the nearest ten thousand?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190926427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*j + r, -5*r + 42 - 18 = 2*j. Let a(d) be the second derivative of 8*d**3\/3 + 3*d**2 - d. What is the units digit of a(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 6) to base 4\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6404872, -6404870, -6404858, -6404830, -6404780?\n\"Answer: l**3 - l**2 - 2*l - 6404870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 5*z - 36, 3*q + 5*z = -10 - 22. Let k be 3\/(-24)*(-8)\/(-4). Which is the biggest value? (a) q (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 738 times 0.2\nAnswer: 147.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = 2*u - 8*t + 1, 0 = 4*u + 5*t + 5. Which is the second biggest value? (a) 9 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 13*p**2 - 22*p + 17. Let u be y(12). Let f = -518 + u. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3763 - 8*b + 3763 + 2*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 36*i + 61. Let r be j(16). Let z be ((-2)\/(-6))\/(1\/r). Put -10, -3, z, 7 in decreasing order.\nAnswer: 7, z, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.9775 + -0.0225. Let p = 20 - 17. Put d, p, 0, -1 in descending order.\nAnswer: p, 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -206555408*u**2 - 151093*u + 19?\nAnswer: -413110816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5356 and 22248?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 12:36 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 76 = 32*u. Put 450, 0, u in descending order.\nAnswer: 450, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - 129. Let y = k + 153. Let u be (-6)\/(-15) - (-12)\/(-10). Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1541, -1536, -1527, -1514, -1497, -1476?\nAnswer: -1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 9:20 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**5\/20 + 3*a**4\/8 - a**3 + 6*a**2 + 8. Let d(y) be the second derivative of v(y). Factor d(q).\nAnswer: -3*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*n + 3\/2*n**2 - 264.\nAnswer: 3*(n - 8)*(n + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -0.7, 2\/9, -15.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 0)\/(6\/4). Suppose 4*k + 3*a = z, 0*k + a = -5*k + 8. What is the remainder when 2 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 1067388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -992.3 - -1871. Round c to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3315 less than 92805\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-1595)*25\/10\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 + 1.093. Let s = o - -0.206913. What is s rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-20)*96\/(-1092)*-13*(-108)\/8?\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*s - 210 = -3*s, 5*a - 5*s = 210. Suppose 0*z = z - a. Let m = 70 + -59. Calculate the remainder when z is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23088 and 1816737.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 781101, 1562202, 2343303, 3124404, 3905505, 4686606?\n\"Answer: 781101*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 100?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 4*z + 0*z)*((4 + 0 - 2)*(0 - 1 + 0) - 3 - 5 + 4).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2010111316.\nAnswer: 2, 347, 1448207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 425 and 101158075.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/90 and 12467\/468*(-4)\/(-70).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 47, 0.01, -6\/73?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34392 by -1.\nAnswer: -34392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/4*(-2664)\/(-84))\/(90\/60).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -10*u. Let w(b) = -4015*b. Determine o(w(t)).\nAnswer: 40150*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 55*j + 3356. Determine x(-58).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1587 by -4.\nAnswer: -1587\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -18623.\nAnswer: 931.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1126*h**3 + 2823*h**2 + 65*h + 11863?\nAnswer: -6756*h + 5646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m**2 - 4*m**2 + 6*m**2 + 75*m)*(-4*m - m - 6*m)*(m - 3*m + 6*m) to l + a*m + q*m**3 + r*m**2 + j*m**4 and give q.\nAnswer: -3300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287 - 553 + 281 + m**2.\nAnswer: m**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 g when four letters picked without replacement from tggtgtg?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 33 = -4*v. Let a = 237 - v. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246, 463, 654, 819, 958, 1071?\nAnswer: 1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-5)\/((-15)\/4). Let a(f) = -f - 3. Let u be a(v). Let h = u + -4. Is -3 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 5 + 5)*(41*j**2 + 48*j**2 - 69*j**2).\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asvd when four letters picked without replacement from {t: 2, v: 1, d: 3, s: 3, a: 1}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 1. Let i(f) = 3*f**2 + 3*f + 12. Let z(u) = 4*b(u) - i(u). List the prime factors of z(6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36232 - 36231.949998. Let d = 0 - 0.05. Let p = m + d. What is p rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -96*a. Let o be h(-1). Let d be (7\/(-14))\/(1\/(-50)). Suppose 0 = 3*l + 3, -4*l = -4*j + d + 27. Calculate the greatest common factor of o and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 26, 16, 2 in ascending order.\nAnswer: 0.2, 2, 16, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100704513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 444*f - 15228.\nAnswer: -3*(f + 54)*(f + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8002884 and 19076.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 9900, -3\/4, 0.1, -2\/7, -37?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**4\/15 - 192*m**3\/5 - 54366*m**2 + 6602256*m\/5 - 7953120 = 0.\nAnswer: -525, 12, 789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 11) to base 4.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 - -5 - (10 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 4612906?\nAnswer: 46129060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -8*j + 8. Let q be b(6). Let x = 37 + q. Is -6*2\/x + 22 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31332 - 2?\nAnswer: -32000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -3*j**2 + j - 5. Let o(g) = -2*g - 1. Let r(c) = c**2 + 5*c + 2. Let z(y) = 5*o(y) + 2*r(y). Let n be z(-1). Calculate m(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 3*i**2 - 9891*i + 128076 = 0.\nAnswer: 13, 3284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 12. Let n = 31 + c. Solve -5*m = 2*r + n, 2*r + 5*m = m - 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (260\/15)\/((-20)\/(-6) - 3) is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**5\/10 + 16*j**4\/3 + 67*j**3\/3 + 34*j**2 + 2590*j. Factor d(q).\nAnswer: -2*(q - 34)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 32*j. Let c(h) = 6*h + 214. What is y(c(r))?\nAnswer: 192*r + 6848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -a358?\nAnswer: a360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.39 + 0.39. Which is the nearest to 0.1? (a) -6 (b) r (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 + (-98)\/(-21). Let v be 12\/(-10)*(-2)\/4. Which is the third smallest value? (a) v (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(605) + -4 - (-2 + sqrt(605))*4)**2.\nAnswer: -88*sqrt(5) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22230 divided by 7177?\nAnswer: -22230\/7177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 255 - 295. What is the units digit of 2782\/4 - (-35)\/t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*g**3 - 2 + 384*g**3 + 0 + 2.\nAnswer: 296*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1677 (base 15) to base 4\nAnswer: 1023211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*k = 42*k + 738. Let j(t) = -t**2 - 8*t. Calculate the remainder when j(-4) is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2521 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b - 30*b - 4 = 0. Suppose -10 = -b*j - 6. Solve 2*z - n + j*n = -5, 8 = -5*z - n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74302, 74144, 73984, 73822?\nAnswer: 73658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 68. Let u be q(-68). Let v be (8\/6)\/((-2)\/12*-2). Sort v, u, -284 in increasing order.\nAnswer: -284, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 5*r + 8 = 0. Let y be r\/7*11 + 2. What is the third biggest value in 1\/7, y, 4\/9, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t. Let l(c) be the second derivative of 7*c + 0 + 0*c**3 + 0*c**2 + 5\/12*c**4. Determine y(l(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 59 = -3*o. Let t = o - -49. What is the smallest common multiple of t and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2280026 is divided by 207271.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 99.\nAnswer: -13\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*h = -57*h - 84 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80461.74 + 343.1.\nAnswer: 80804.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7304\/(-830) - (-2 + -8)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 17*o + 50. What is x(-22)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 123*d**2 + 80*d + 9860. Give r(-123).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/75 and -85\/32088.\nAnswer: 802200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*a + 18, -2 - 2 = a. Determine f so that 8*f - 12*f**w + 563 + 4*f**3 - 563 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 + 3*a**2 + 4*a**2 - 15*a**2. Let t(b) = -3*b + 1. Let w(m) = -28*m + 12. Let h(k) = 12*t(k) - w(k). Calculate h(z(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 44.067. Let u = 5779003.93300054 + -5779004. Let b = u + h. What is b rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 407 + -406. What is the biggest value in 3\/7, z, 1\/21?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 442 = 5*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3711118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -u - 7, -55*p + 60*p = -u - 22 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 5. Let i(l) = 10*l**2 - 1. Let j be i(-1). Let d be q(j). Solve 2*a - d*c - 29 = 7*a, 0 = -2*a + 2*c - 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (0 + sqrt(300))*4 + -6*(-1 + sqrt(3) + sqrt(3))*4)*6)**2.\nAnswer: -10944*sqrt(3) + 19908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7. Is h\/(62\/(-64) - -1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**5\/60 - 5*x**2. Let m(v) = 4*v. Determine m(h(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**7\/42 + q**4\/2 - q - 8. Let m(d) be the first derivative of f(d). What is the third derivative of m(p) wrt p?\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145364430?\nAnswer: 2, 3, 5, 4845481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2150 - -2162. Let p(s) = 7*s**2 - 5*s + 5. Suppose 4*o - 2*b = -10, 0 = 4*o + 3*b - 14 + 49. Let y(z) = 18*z**2 - 12*z + 12. Determine k*p(l) + o*y(l).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -506 + 506.0566. Let j = -0.0566466 + l. What is j rounded to six dps?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9426.173 millilitres in litres?\nAnswer: 9.426173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55652488.\nAnswer: 2, 6956561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60640902 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**3 + 18*k**2 - 531*k + 510 = 0.\nAnswer: -17, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 91158.\nAnswer: 729264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 386 and 146?\nAnswer: 28178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3185\/910*((-12)\/(-35))\/(-3). Suppose 4*l = 5*l - 4. Which is the nearest to -1\/4? (a) l (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m**3 - 37*m**2 + 22*m + 36. Let y(k) = 2*k**3 + 2*k + 1. Let i(j) = -o(j) - 5*y(j). Is i(31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43297.\nAnswer: 29, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -692*t**2 - 5*t + 5. Let n(w) = -1730*w**2 - 12*w + 12. Calculate -5*n(c) + 12*r(c).\nAnswer: 346*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 21 - (-10 + -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 137?\nAnswer: -13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1 + 4 - 5*w**2 + 4 - 4*w - 5. Let u(v) = -9*v**2 - 9*v + 9. Calculate 9*a(d) - 4*u(d).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-8)*-2 + 75. Calculate the common denominator of 2 + 0 - (-693)\/x and 33\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 23*a - 13. What is the hundreds digit of h(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-120)*8\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470*k - 2*n = 473*k - 70537, -n = 4. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 20*o - 1. Suppose 11*u - 13*u = 2. Determine m(u).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 52 = 4*w. Suppose -110 = -w*o - 4*a + 274, -5*o + 489 = 2*a. What is the smallest common multiple of o and 4?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in -4, -161, 0, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1593, 12751, 43085, 102201, 199705?\n\"Answer: 1601*l**3 - 18*l**2 + 5*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9756 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 126*v**2 - 5*v. Is x(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8398 take away 6809485281?\nAnswer: -6809493679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 7*r**2 + 2. Suppose -13*o + 56 = -5*o. What is d(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -511 + 521. Let r(q) = -q**3 + 10*q**2 - 4*q + 58. Let j be r(b). Solve 4*i - j = i - 3*k, 5 = 5*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffsfs. What is prob of sequence ff?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-20) - 1\/5. Which is greater: a or -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 != 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259412 is divided by 1312.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ba0b (base 13) to base 4\nAnswer: 12110030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 72 = 6*x. Solve -46 = 2*y - x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -5 (c) 0.4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 897*w - 893*w + 13 = 0, 0 = 2*w + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 17.908. Round a to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129 + -128.46. Let u = -4.54 + y. Which is the closest to -1? (a) -10 (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1528 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 395114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u**3 + 2*u**2 + 4*u + 4. Let r(x) = 2*x - 18. Let m be r(7). Let q(t) = -17*t**3 - 5*t**2 - 11*t - 11. Give m*q(v) - 11*g(v).\nAnswer: 2*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -a3 (base 14) to base 15\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-63)\/(-14) + (-2)\/4. Suppose -5*c - 10 = 3*d, 3*d = 4*d + h*c + 8. Factor 4\/5*x**5 + 0*x + 0 + 2\/5*x**4 + d*x**2 - 2\/5*x**3.\nAnswer: 2*x**3*(x + 1)*(2*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**2 + 18*p - 7. Let j be z(3). Let y be (-2)\/(-2) + (3 - 4). Solve y = -j*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/18 - (-133)\/((-51471)\/10406).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, n: 5}. Give prob of sequence nn.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1078 or 36?\nAnswer: -1078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrod when four letters picked without replacement from {r: 8, j: 2, o: 4, d: 2}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3660273, -3660260, -3660249, -3660240?\n\"Answer: -n**2 + 16*n - 3660288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -5*a + 19*a - 11*a - 2*w - 99, 3*w + 19 + 23 = -6*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 2, j: 1, z: 1, u: 1, g: 1}. What is prob of picking 1 z and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6 - 3*k**3 + 13*k - 8*k**3 + 13*k**2 + 19. Suppose -4*t = t - 15. Let d(x) = -5*x**t + 7 - 2*x - 1 + 3*x + 6*x**2 + 5*x. Give 13*d(w) - 6*f(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v - 10 = -20*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = g - 5. Calculate the remainder when 10 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 3*w**2 - 5*w - 2. Let q(o) = 2*o**3 - 4*o**2 + 6*o + 2. Let k = 2 - 8. Let u be ((-12)\/(-10))\/(k\/(-20)). Determine u*j(v) + 3*q(v).\nAnswer: 2*v**3 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/43? (a) -14 (b) 2 (c) 1\/7 (d) -2\/13 (e) -207 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6829.\nAnswer: 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 k when four letters picked without replacement from qkkkqqqqkknqkq.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 214727205 * 1\nAnswer: 214727205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, 15 in decreasing order.\nAnswer: 15, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 29, 10, -27, -88?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d - 3 = 0. Let b be (-3)\/(-30) + (-78)\/(-20). Suppose -19*o + 15*o + b = 0. Sort d, -2, o in descending order.\nAnswer: o, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 35*i**2 - 6*i + 279. Let t be b(35). Solve t*j - 12*j = 285 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3719, 13862, 30765, 54428, 84851, 122034?\n\"Answer: 3380*m**2 + 3*m + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29916*n + 3594*n - 7343*n.\nAnswer: -33665*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.236 + -656.764. Let p = -658.042 - x. Put -5, p, 0.04 in ascending order.\nAnswer: -5, p, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 14 = 3*c - 50, 0 = 5*l. Suppose 6*j - 12 = c. Solve -3*z + j*s = -z + 26, 5*s - 31 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 9*y = -30. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 11*x - 5*x + 0*x + x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -258, -896, -1846, -3108, -4682, -6568?\n\"Answer: -156*i**2 - 170*i + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 10:06 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - -3 - (3 + -3). Let u(z) = z. Let f(v) = -5*v + 4. Let w(j) = -f(j) - 3*u(j). What are the prime factors of w(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520557?\nAnswer: 3, 17, 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*m**3 + 152 - 152)*(2 + 1 - 1) + (-5*m**3 + 0*m**3 + 3*m**3)*(-5 + 5 + 2) - m**3 + 7*m**3 - 3*m**3.\nAnswer: 67*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -98 (b) 15 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -47, -33, 15, 115, 285, 543, 907, 1395?\n\"Answer: 3*x**3 - x**2 - 4*x - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.5 (b) -144\/1613 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(891) + 2) + -1 + 1 + 3*(sqrt(891) - (1 + (sqrt(891) + -1 - sqrt(891))))*-3)**2.\nAnswer: 1872*sqrt(11) + 150643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*a + 83*a = 357. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 7*f**2 - 10*f - 2. Let y be v(-8). What is the greatest common divisor of y and 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -2*m**4\/3 + m**3\/6 - 4*m. Let l be g(-1). Is l not equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5*((-385)\/(-22))\/(-7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 420 + -2104\/5. Which is the closest to 2? (a) n (b) -0.06 (c) 2\/9 (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1\/8 (c) -0.1995 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103314108?\nAnswer: 2, 3, 877, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 44*g**3 + g**2 + g - 13. Let b(c) = c**3 + c**2 + c + 1. Suppose -34*k = -28*k + 6. Let v(o) = k*x(o) + b(o). Differentiate v(h) wrt h.\nAnswer: -129*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + m**2 + m - 1. Suppose -7*u + 4 = -3*u. Let t be j(u). Suppose t*g - 302 = -4*b, -b - 4*b + 370 = 4*g. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15724, -31395, -47062, -62725?\n\"Answer: 2*h**2 - 15677*h - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + -413330130?\nAnswer: -413330042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**2*g**(1\/6)*(g\/(g**2\/g))**12 assuming g is positive.\nAnswer: g**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4424.011 tonnes to kilograms.\nAnswer: 4424011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00215968 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8.2825, 5, 567?\nAnswer: 8.2825","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 809\/2 + -414. Let n = -1 - -1. Find the common denominator of -2 + (74\/10 - n) and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 84*u + 6829. Calculate i(-81).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 10:47 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/315195 and 127\/126078.\nAnswer: 630390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 7*u**2 - 7*u + 8. Let d = -17 - -9. Let p be n(d). Which is bigger: p or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/9 - 28*h**2\/9 - 26*h\/9 = 0. Calculate h.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 2254770.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*(-3 + 5 + 2)*(-321 - 2*x - 3*x + 9*x - 3*x).\nAnswer: -12*x + 3852","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1071 + 0.106256. Round s to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**4\/24 + 171*v**2\/2 - 203*v. Let a(m) be the first derivative of y(m). Let h(f) = -4*f - 2*f - f. Determine h(a(w)).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1593)\/(-243) + 13.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 + 3\/(-9). Let a be (39\/(-9) - 3) + (-3)\/(-9). Let i be a - (1 - -1 - 20\/5). What is the smallest value in i, 0.2, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10089261 by 26481.\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 830 + -362. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - 12) + -11 - (-10 + -8).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20744 != 20614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1056, -4235, -9522, -16911, -26396, -37971, -51630?\nAnswer: -67367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149428982?\nAnswer: 2, 383, 195077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -211 + 414 - 201 - 3*a. Let y(q) = -2*q + 1. Determine -3*n(u) + 5*y(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -acc - 9?\nAnswer: -ad6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 993*k - 990*k + 2 = 2*v, 3*v + 2*k + 23 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -75 - (46 - 115)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119.1 * 0.09864.\nAnswer: -11.748024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**5 - 134476*a**4 + 21523*a**2 + 56 wrt a?\nAnswer: -60*a**2 - 3227424*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -330, -2, 3, 2, -3 in decreasing order.\nAnswer: 3, 2, -2, -3, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137 + -86. What are the prime factors of u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4816.52451 minutes?\nAnswer: 0.4778298125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 63\/6 + -2 + 7\/14. Let x = 33 + -22. Suppose k = -c + x. Solve -3 = b - c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -7, -1, -1\/6, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/53)*b*b*b*b*b*(b*b\/(b*b**(-3)))\/b*b)**34 assuming b is positive.\nAnswer: b**(18088\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16047 - 11247. Is l a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 - 5*d**2 + 4*d + 7. Let g = 53 - 50. Let q(b) = 5*b**g + 5 - 8*b**2 + 5 + 6*b + 0*b**2 + 1. Determine -8*m(i) + 5*q(i).\nAnswer: i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151049 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413076240.\nAnswer: 2, 3, 5, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3339350 to the nearest ten thousand.\nAnswer: -3340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7938.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 - 1d?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3812*r**2 + 8721*r - 8721*r as x*r**2 + s + b*r and give x.\nAnswer: 3812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*r - 16, 0 = -2*a + 2*r + 4 + 6. What is the third biggest value in a, -1\/8, -2, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, d: 5, p: 1, e: 2, v: 8, h: 1}. What is prob of picking 2 e and 1 r?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**3 + 201*v**2 - 2040*v + 3300 = 0.\nAnswer: 2, 10, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 228.1 + -220. Let h = 6.032 + 0.068. Let j = h - i. What is the third biggest value in j, 0.15, 2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83115*f - 3*f**3 - 83115*f.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 1. Let d(v) = v**3 + v**2 + v + 7. Let u(f) = -d(f) - 3*h(f). Suppose -y = 3*y + 12. What is u(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*a + f + 3, -2*f - 6 = 0. Is (a + -1 + 34)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (-12)\/3) + -2. Let m = 5644 + -5646. Put m, s, 5\/2, 5 in descending order.\nAnswer: 5, 5\/2, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3\/5 (b) 5.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**4\/(d\/d**(-9\/5)*d*d)*d\/(d\/((d*d**2\/d)\/d))*d**(1\/22)\/d assuming d is positive.\nAnswer: d**(-83\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 y when four letters picked without replacement from yllllllllyllllyl.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/189587 at most -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*u + 9. Put 7, 5, u in descending order.\nAnswer: 7, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -22. Let l = -16 + o. Factor -2\/9*b**l + 0*b**4 + 0 + 0*b**2 - 2\/9*b + 4\/9*b**3.\nAnswer: -2*b*(b - 1)**2*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 992 is divided by 245.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 1, g: 1, o: 1, n: 1, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*r - 15 - 11 = 0, 2*q = 4*r + 16. Suppose q*x = -2 - 2. Let z = 45 + -136\/3. Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 48*a**2 - 19*a - 28. Is m(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(3\/5))**(-3\/2) assuming h is positive.\nAnswer: h**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*m + 2*p, -4*m - 3*p - 2*p = -17 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.8 and -21333.\nAnswer: 251729.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-49 + (-24 - -35) + 10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29703, -118902, -267577, -475728, -743355?\n\"Answer: -29738*f**2 + 15*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63*t*u**3 + 2*t*u**2 + 94*t - 2*u**4 with respect to u.\nAnswer: 189*t*u**2 + 4*t*u - 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/(-8) - 2\/(-8). Let m = -1631 - -1633. Find the second derivative of 7*i - 2*i**3 + 0*i**c + 2*i**3 + m*i**4 wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6417, 12782, 19091, 25344?\nAnswer: 31541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -787 rounded to the nearest ten?\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 33*z - 3. Let a be p(2). Let y = a + -39. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 10*s + 8. Let c = -1944 - -1952. Calculate l(c).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -s + 7. Suppose -d = -0*d - 2*t + 166, -172 = d - s*t. Let q = 247 + d. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - c074d48?\nAnswer: -c074d49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 4*x**2 + 4*x + 3. Let b be d(-2). Let c = -10 + 7. Let g = 10 - 9.9. What is the closest to g in 0.2, c, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -11. Let f = -52 - 223\/4. Let w = -108 - f. Is t at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2484990 is divided by 1242018?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62165 and 847744105.\nAnswer: 847744105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 9\/(-3) - 0. Let l be (-1)\/(t - (-6)\/(-5)). Let o be (-3 + 1)*l\/(-2). Solve 0 = 5*i - 0 + o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/39650 and 3\/312650?\nAnswer: 19071650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -786 + 1182. Let i = u - 271. Which is bigger: i or 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58001904 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + u - 1. Let j = -15 - -14. Let f(w) be the third derivative of w**6\/24 + w**5\/60 + w**4\/6 - 5*w**3\/6 - w**2 + 27. Give j*f(k) + 4*o(k).\nAnswer: -k**3 - k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 610259017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 81940.2919 to the nearest one hundred.\nAnswer: 81900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-14))**(-47) assuming p is positive.\nAnswer: p**611","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - -2 - (-15 + 1 - (-3 - -3))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2637056 and 1977792?\nAnswer: 7911168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 1\/6*t**2 - 1\/12*t**4 + 0*t + 0*t**3 - 4. Suppose v(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105*a - 1265 + 1475 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/18478 and 77\/78.\nAnswer: 720642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2019\/5 (b) 2 (c) -4 (d) 1\/9 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 43. Let w(f) = f**3 - 5*f**2 + 7*f - 8. Let j be w(4). Suppose 126 = j*d - h. What is the greatest common divisor of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 90 + 41 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-23) - ((-4816)\/(-18791))\/(-28).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -150499.\nAnswer: -7\/150499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22333 (base 4) to base 15\nAnswer: 31d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*k = -222*k - 3*z + 2, -6 = 3*z. Calculate the greatest common factor of 1942 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*z**2 - 5 + 7 + 33*z**2.\nAnswer: 9*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -y - 1, 7*y - 2*y + 5 = -5*d. Let u = y + 5. What is the remainder when 10 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 4. Let o be (-70)\/(-4) + 6\/(-4). Suppose -3*i - i = -o. Give r(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.1 + -20. Let f be (2 - 1)\/(1\/(-5)). What is the closest to 1 in -0.4, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + (sqrt(140)\/(sqrt(24)\/sqrt(6)) - sqrt(35)))\/sqrt(7) + (sqrt(200)\/sqrt(4))\/sqrt(10)*-6.\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*w + 3*s - 21, -35 = -4*w - 5*s. Suppose w*u = -3*g + 25, 2*g + 29*u = 28*u + 5. Solve g = -3*r - 2*f + f - 19, -f = -5*r - 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k*l**4 + 13*k*l**3 - 31*k*l**2 + 1394*k*l - 6*l + 2 wrt l?\nAnswer: -48*k*l**2 + 78*k*l - 62*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16357575*4\nAnswer: 65430300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1110000111100?\nAnswer: -1110000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -9*u - 7. Let k(g) = -g + 1. Let a(b) = 2*b - 9. Let h(p) = 2*a(p) + 14*k(p). Let m(c) = -c. Let n(j) = -h(j) + 5*m(j). Determine 7*n(x) + 4*t(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22422*k**3 + 43649 with respect to k.\nAnswer: 67266*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87026, -86382, -85738, -85094, -84450?\nAnswer: -83806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 0*z**2 - 14 + 5*z**3 + 0*z**5 + 0*z**4 + 1\/2*z**6 + 0*z. Find the third derivative of a(i) wrt i.\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-8)*0 + 0\/1. Let w(m) = m**3 - 2*m**2 + 14. Let b be w(n). What is the highest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00164776053 rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/6)\/(18\/27). Let q(u) = u**3 + 3*u**2 - 2. Let k be q(z). What is the second derivative of -12*f + 2*f - 2*f**2 + 0*f**2 - f**k wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-22)\/(-8))\/(1\/24). Let b = i + 353. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i - 3*t - 15, 4 = -t. Let o(f) = 379318*f + 4. Let m be o(i). Suppose -2*r + m + 262042 = 0. What is r rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117 or 118?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -2, -0.02, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -54*q**2 - 21. Let u(s) = 11*s**2 + 4. What is 4*m(h) + 21*u(h)?\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*c + 250*n + 488 = -27*c, 5*c = -4*n - 23 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(8893200\/(-555820) + 16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3207*d + 44998. Give k(14).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5633679, 5633712, 5633743, 5633772, 5633799, 5633824?\n\"Answer: -j**2 + 36*j + 5633644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 2*n + 2. Let k(g) = 2*g**2 + g + 1. Let l be k(-1). Let z be x(l). Solve c - z*c = -3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -11*d**2 + 229*d + 201. What is l(18)?\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.05 + 0.05. Let j = -12570 - -25137\/2. Which is the third smallest value? (a) 1\/5 (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 0 - 6*a - 14*a + 3.\nAnswer: -15*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10212 - -4?\nAnswer: 10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6262409 + 7756101 = 31*v - 2804663. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 2:10 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -17. Let o be ((-9)\/(-3) - 5) + l. Let r be 15*-1*1\/(-3). Calculate the highest common factor of r and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/21)\/(4\/(-56))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**4\/12 + p + 192. Let w(x) be the third derivative of 7*x**5\/30 - 2*x**2. What is m(w(n))?\nAnswer: 196*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01567197 rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2209.963816 + -2210. What is p rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*x - 4*x. Let j = 23 + x. Solve -3*m + 4*m + j = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.282 - 0.018. What is g rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 14*r = 756. What is the greatest common factor of r and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 18. Suppose 32*f - b*f = -132. Let o(a) = 5*a - 3*a**2 + 2*a**2 - 1 + 2*a**2. Give o(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 344 + -326. Suppose w*b + 252 = 14*b. Is b smaller than -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 819480*j**3 + 15482158?\nAnswer: 2458440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 5*s + 2. Let c(x) be the first derivative of 2*x**3\/3 - 2*x**2 - 2*x + 2. What is -5*c(d) - 4*p(d)?\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 84316 and 84324 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 5*z - 1050. Suppose -5*h - z = -2*f, 19 = -2*h - 5*f - 41. List the prime factors of (h\/8)\/(36\/(-96)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 31 = -4*v, v + 6*m - 4*m = 13. Let x(a) = -2*a + 19. Let t be x(v). Suppose -3 - 17 = t*h. Is h at most as big as -26\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-30)\/(-40)*(507\/9 - -1) is divided by 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aauf when four letters picked without replacement from azazaaaaauaazuaazfz.\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 22*h + 1. Let i(s) = 64*s + 3. Give -3*i(n) + 8*v(n).\nAnswer: -16*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 232 + -3016?\nAnswer: -2454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15090 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 14. Let q be 1 + -1 + -2 + 1. Let u = x - q. What is the lowest common multiple of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -v + 2*q, 2*v + q + 888 = 893. Sort -1, -2, v, -15.\nAnswer: -15, -2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151476071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 11*g**2 - 9*g - 8. Let r be n(10). Let f = -30896 + 555835\/18. Let s = f - -33\/2. Which is the closest to r? (a) s (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.5 - 13. Let i = -5 - l. What is the closest to 0 in i, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15673160 by 295720.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2*l + 68, 5*n - 4*l + 2*l = 198. Do 334\/9 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 174689517 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b. Let z = -1408 + 2121. Suppose 100*r = 99*r + z. Let a(q) = r - q - 713 - 67*q**2 + 19*q**2. What is y(a(w))?\nAnswer: 96*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 + 5*l - 5. Let u(c) = 8*c**2 + 12*c - 12. Give 12*p(a) - 5*u(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03623 - 0.06377. Which is the nearest to 241? (a) m (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 3*w**3 - 3 - 2*w**2 - 6 + 13*w**3 - 4*w to the form r*w**2 + i*w + a*w**3 + g and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 16*m + 55 + 27*m - 3*m. Let j be a(9). Let x = 56 + -36. What is the highest common factor of j and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 141\/22448860 and -65\/6734658?\nAnswer: 67346580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102 + -67. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(128\/(-24) + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -239*f**2 + 485*f**2 + 16 - 242*f**2 + 27*f. Does 24 divide d(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29*(-12298)\/78793)\/(1\/(-19)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) -0.401 (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2940476?\nAnswer: 5880952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3867.52 - -3774. Let k = 4.48 - t. Which is the third smallest value? (a) 4 (b) -2\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/7? (a) 0.1 (b) 5 (c) 1.1 (d) -1\/3 (e) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, q: 1, f: 4, t: 3}. Give prob of picking 1 f and 1 b.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239 divided by 550.\nAnswer: 239\/550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((3 + sqrt(13) + 3 - (sqrt(1053) + 2)) + 5 + -1 + sqrt(208) + 0)**2.\nAnswer: -1360 + 320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**4\/24 + 11*y**3\/2 - 8*y**2. Let v be z(12). Suppose 3*a - 156 = v. What are the prime factors of a?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94667 is divided by 1412?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.4 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/128 and -77\/72.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 7:59 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 84*f + 1352. What is w(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3709, -3, -18\/25, 17 in decreasing order.\nAnswer: 3709, 17, -18\/25, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 201111 (base 3) in base 7?\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 19*k - 30. Let q = -4657 - -4640. What is d(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*r - 4, q - 2*q + 3*r - 1 = 0. Suppose -q = -t - 0. Factor x**t - 2*x**3 + 5*x**3 - 2*x**3 - x**4 - x.\nAnswer: -x*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -5. Let d(c) be the second derivative of -c**4\/12 - c**3 - c**2 + c. Let x be d(l). Solve -x*h = -5*a - 28, -2*a + 0 = -h + 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -5. Let q = 10 + -12.6. Let l = -1.6 - q. What is the biggest value in l, -1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 + -1221?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/6)\/(2\/108). Let i = 148 - y. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (107\/(-107))\/((-2)\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 96*t**2 - 356*t - 1085. Determine g(92).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/1)\/((-1)\/1). Let j be (-612)\/(-24)*8\/6. Let q = 39 - j. Sort -2, o, q in increasing order.\nAnswer: -2, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 135*(-7)\/28*2\/(-5). Let n = -403\/30 + z. Put n, 2\/53, 0 in increasing order.\nAnswer: 0, 2\/53, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 6*a + 7*a)*(-2 + 4 - 5)*(2*a - 2*a + 2*a**2).\nAnswer: -42*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1461 divided by -3\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b**2 + 110*b - 219. Give j(2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 8*n - 19. Let w be l(-10). What are the prime factors of w\/2*2*(-31)\/(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2318.72 to the nearest ten.\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 4*v - 3. Let m(p) = p**2 - 9*p + 5. Calculate the remainder when q(-10) is divided by m(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4761897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571817 = 13518*o - 2171*o - 27202 - 25066 for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -504458253*k**5 - 5304*k**2 - 11805*k?\nAnswer: -30267495180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7671 and -2.\nAnswer: -7673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -319*y**2 - y + 323*y**2 + y. Let z(h) = h**2. Let j(n) = -n**2. Let t(b) = 6*j(b) + z(b). Determine c(t(o)).\nAnswer: 100*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50, -54, -54, -50, -42?\n\"Answer: 2*t**2 - 10*t - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2. Let u(j) = 1 - j - 2*j + 3. Let k(l) = -8*l + 11. Let z(i) = -4*k(i) + 11*u(i). What is z(b(q))?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272515931 is divided by 308.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 115792725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -3\/4, -2\/15, 2\/9, 0.27?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 78*p**4 - 97*p**4 - 4*p**3 + 2*p**3 to f + x*p + y*p**4 + l*p**2 + r*p**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 2. Let c(j) = -2*j + 3. Let x(a) = -2*c(a) - 3*t(a). Calculate x(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 2 - 3) + 3 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 172289999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, m: 8, v: 1, t: 6, b: 1, i: 2}. What is prob of sequence bm?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 60361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -17426 at most as big as -592523\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2037 - 2037 + 400*d - 37*d.\nAnswer: 363*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2)\/h)\/((h*(h\/h**(3\/5))\/h*h)\/h*h))\/(h**(-2\/3)\/h**(-5\/4)))**(-7\/12) assuming h is positive.\nAnswer: h**(2093\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27064 + -3.\nAnswer: -27067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215762 by -215762.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1, 3\/227, -1.\nAnswer: -1, -2\/3, 3\/227, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 239 - 165. Suppose 0 = 2*a - n - 18. What is the remainder when a is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(343) - sqrt(7)) + -1 + sqrt(7) + 1.\nAnswer: -35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + g = 40, 3*g + 2*g = 3*w - 96. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 25 (b) 5\/4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38346967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 31. Which is the smallest value? (a) 3\/2 (b) s (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - 200022202111?\nAnswer: -200022210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 16*r**2 + 36*r - 115. Determine y(-16).\nAnswer: -691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a - 2. Let g(y) = 3*y**2 - y - 1. Let w be g(a). Let x(z) = z + 2 + 0*z - 3. Give x(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8212 - 2*i + 2*i - 8204 + 3*i**2.\nAnswer: 3*i**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15511342 (base 6) in base 14?\nAnswer: 105b30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -267368 (base 10) in base 14?\nAnswer: -6d61a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*o - 44 - 33. Solve o*m + 4 = 6*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygtpb. What is prob of sequence tb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/16*-1*3\/(-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39345590909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -325990382*r**5*x**3 + 58*r**2*x**2 - 601*r*x**3 - 1807*x**2 wrt r?\nAnswer: -19559422920*r**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/293 - 1193\/2051. Let q = 238 - 253.3. Let n = 15.4 + q. What is the closest to -4 in -0.4, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/5)*v*((v**(1\/4)\/v)\/v)\/v*v)\/(v**(-2)*v**(-5)))\/(((v*v**(-1\/4)\/v)\/v)**36)**(2\/89) assuming v is positive.\nAnswer: v**(11857\/1780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h = -2*v + 988, -599 = -3*h + 5*v. Suppose r + 2 = -0*r - 4*n, -4*r + 3*n = -87. What is the highest common divisor of h and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 8*v + 2. Solve -v*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1270192 and 5.\nAnswer: 1270197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 275781 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 16 = -4*i + 5*q, 2*i - 3*q = 8. Suppose -2*v + 12 - 2 = -o, -i*v + 20 = -4*o. Solve o = -u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 c, and 1 g when four letters picked without replacement from {k: 3, c: 3, p: 3, g: 1, z: 1, f: 2}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 3*i**2 + i - 2. What is g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -148 + -866822713\nAnswer: -866822861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 575 = -3*h + 582, 0 = -h + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 139 = 138. Let y be (-3)\/2*-6*w*2. Let u = -23 - -29. Calculate the highest common factor of u and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -173*g**2 + 9*g + 314. Let v(o) = -74*o**2 + 4*o + 157. Calculate 3*h(f) - 7*v(f).\nAnswer: -f**2 - f - 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - 23*y - 42. Let p be o(17). Suppose -912 + p = -13*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (91\/7)\/(-429)*3. Let k = -7 + 3. What is the closest to -0.1 in x, -14, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -11*t + 5. Let d(q) = q**3 - q**2 - 5. Suppose -6*h = -h. Let x be d(h). Let u(k) = -7*k + 3. What is x*j(c) + 8*u(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 147, 147, 131, 93, 27?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 2*p + 2 - 5, -4*p + 1 = -5*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 608 + -608. What is the closest to p in -4, -9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2 + 25*q - 5. Let w(y) = 2*y**2 - 10*y + 2. Let l(b) = 2*o(b) + 5*w(b). Let f(v) = -26*v. Determine f(l(z)).\nAnswer: -52*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + 2 + (3*(sqrt(432) + sqrt(432)*1 + sqrt(432)) + sqrt(432))**2 + (sqrt(432) - (sqrt(432) + -1)**2)*-1 + 6*(sqrt(432) - sqrt(432)*-2))*-5.\nAnswer: -218205 - 900*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/10151? (a) -1 (b) 1\/9 (c) 2\/3 (d) 2\/13 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/48*118 - -5*13\/260.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2961387524 rounded to 2 dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22878942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -59. Let l = 58 - n. Suppose 0 = l*f - 111 + 31. What is the lowest common multiple of 40 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 2 - 14*h**2 + 2. Let b(x) = 15*x**2 - 9*x - 63. Let f(a) = -7*a**2 + 4*a + 28. Let j(o) = 4*b(o) + 9*f(o). What is t(j(d))?\nAnswer: -117*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 20*h + 17. Let k be n(19). Calculate the highest common divisor of k and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2483680832?\nAnswer: 2, 311, 124783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 12 = 4*a, h - 4*a = -7*a + 4. Let i = -328 - -330. Solve 4*u = -i*t - h, -5*u = -t + 4*t + 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 327 + -316. Factor 20*o + 2*o**2 + 1 - 10*o + a.\nAnswer: 2*(o + 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 1 + 2078*i**2 + 2579*i**2 - 7156*i**2)*(-2*i + 0*i - 3*i) as j*i + d + q*i**3 + h*i**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.4 + -21.3. Which is the nearest to 0? (a) t (b) -0.04 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7920 and 36.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 14606088?\nAnswer: 14606088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -517, -482, -407, -274, -65?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -25348\/5161 less than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540.8195 centimeters to kilometers.\nAnswer: 0.005408195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 235, 6, 0.01, -3, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668110?\nAnswer: 2, 5, 71, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**7\/70 + r**5\/12 + r**2 - 5. Let t(z) be the second derivative of u(z). What is the third derivative of t(x) wrt x?\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12029 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 + 4.02. Put -5\/4, 1\/3, n in decreasing order.\nAnswer: n, 1\/3, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n - 48. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 - 85. What is the remainder when l is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cocccllck. Give prob of picking 1 l, 1 k, and 1 c.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44041139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**2*s**3 + 10193*b**2*s**2 + 2*b**2*s - 10*b**2 + 18*b*s**3 - 1043448*s**3 - s**2 - 2 wrt s.\nAnswer: 12*b**2 + 108*b - 6260688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 106. Calculate a(54).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.05+-0.059852\nAnswer: -0.109852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/7 and (10\/225*-5)\/(4\/82)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 9:35 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9654 + 1351 = -49*n - 388*n for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 2 + 564*g + 19.\nAnswer: 564*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x = 0. Is 6 a factor of 10 - (-3 + x - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) - (sqrt(170) + -6*(2*sqrt(170) + sqrt(170)) + sqrt(170))))\/(sqrt(10) - 2*sqrt(10)*-5).\nAnswer: -16*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.019 - 0.501. Let x = 1.52 + m. Which is the nearest to 0.1? (a) -4\/3 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - -87*6\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 91*x**3 - 10*x**2 + 12*x + 17. Let p(t) = -44*t**3 + 5*t**2 - 7*t - 10. Calculate -4*k(y) - 7*p(y).\nAnswer: -56*y**3 + 5*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 54\/8 + 63\/252. Let y(w) = 2*w**3 + 9*w**2 + 10*w - 1. Let f(o) = -3*o**3 - 13*o**2 - 15*o + 2. Let p(t) = g*y(t) + 5*f(t). Determine p(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, 166, -30.\nAnswer: -30, -0.5, 0, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 848415 and 19560.\nAnswer: 6787320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**4\/12 - 39*y**3\/2 - 1294*y. Suppose q(x) = 0. What is x?\nAnswer: -117, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 30*n - 7*n - 23*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38\/45 - 4\/9. Let w be ((-18)\/(-27))\/(2\/(-39)). Let g = 12 + w. Which is the closest to g? (a) z (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1954 + l + 1954 + 11*l**2 in the form y*l + a*l**2 + z and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/4155 and 35\/2211291?\nAnswer: 11056455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**4*z**3 - 4*b**4*z**2 + b*z**3 - 15*b*z**2 - 4*z wrt b?\nAnswer: 60*b**2*z**3 - 48*b**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 = n + 3*n. What is the common denominator of (-2)\/11 - n\/66 and -115\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/19277 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 9. Let l(z) = -z - 2. Let i be l(-8). Let q be c(i). Let w(h) = -h**3 + 3*h**2 - 3*h + 2. Calculate w(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (23 + 2100\/(-90))\/((-1)\/(-6801)). Do -2264 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/5)\/(((b\/(b*b**(1\/16)\/b))\/b)\/b)*(b**2*b)**(-27))**(-2\/53))**(-1\/46) assuming b is positive.\nAnswer: b**(-6443\/97520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.2. Let z = 1557 - 10874\/7. Let t = z + -22\/7. What is the second smallest value in t, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 87, -2, 0, 5, -230.\nAnswer: -230, -5, -2, 0, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3100585 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 682, 2713, 6102, 10849, 16954?\n\"Answer: 679*p**2 - 6*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**8\/448 + a**5\/5 + 2*a**3\/3 - 6*a**2 - 1. Let l(z) be the third derivative of m(z). Let u(f) = -f**2. What is u(l(c))?\nAnswer: -2025*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -296\/329 + 2\/47. Which is the smallest value? (a) 0.5 (b) v (c) -2 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p - 3. Let d = 4 + -2. Let g be n(d). Suppose 4*f - o - 44 = 0, -2*f = g*f + 2*o - 55. What is the remainder when 21 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7936, -32200, -72612, -129148, -201784, -290496, -395260, -516052?\nAnswer: -652848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*s**2 + 910 - 910 to r*s + q*s**2 + w and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -15*w**4 + 573*w**3 + 5301*w**2 + 3747*w - 966 = 0?\nAnswer: -7, -1, 1\/5, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 10*l + 10. Give b(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + d - 12 = 0, 27*d - 39*d = 3*v + 60 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -191.9 times 0.116\nAnswer: -22.2604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63605316 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4\/7, -2, 7, 5, -1\/169?\nAnswer: -1\/169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 6*z - 10 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l. Let m(a) = 5*a + 88. Let y be m(-17). Sort 4, 1, y, l.\nAnswer: l, 1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461.4979 millimeters in kilometers?\nAnswer: 0.0004614979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 329 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265063?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 - 25103*x + 25103*x. Suppose y + 2*r + 3 + 0 = 0, -4*r = -4*y + 12. Give g(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 143 + -142.7. Sort -2\/25, p, -2, -8 in descending order.\nAnswer: p, -2\/25, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-1 + 5 + 0 + sqrt(891) + 5)**2.\nAnswer: 20*sqrt(11) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1. Let m(r) = 3*r**2 - 1. What is -2*d(h) - m(h)?\nAnswer: -3*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 21942, -450, 1 in increasing order.\nAnswer: -450, 1, 21942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/3361424 and -71\/47344.\nAnswer: 3361424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3768261 to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 25678408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 114*v + 113. Let w be q(1). Factor -2\/17*n + w + 2\/17*n**2.\nAnswer: 2*n*(n - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 3 (c) -30\/13 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 3. Let t be j(6). Suppose 2*b - 9 = -u + b, -t*u + b + 15 = 0. What is the remainder when u is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpzz when four letters picked without replacement from fuyuyczzypuzzuuzzfzy?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7242 + 6209. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*-1*2)\/(-7). Let h = 4 - 16. Let z be 2\/(-4)*6\/h. Are k and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -17, -23, -19, 1, 43?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - h**2 + h - 5. Let y be 0*4\/12*-1. Let p be -1*30\/(-1 + y). Let o = -30 + p. What is r(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 33216 = -10*o + 6*o, 58128 = -7*o - h. Let x = 3 - -7. List the prime factors of o\/(-60) + 6\/x.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29300670 a multiple of 4190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16 * 6\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*r**2 - 14*r**2 - 3*r**3)*(-61 + 61 - 7*r**2)*(0 - 1 + 0)*(0 - 1 + 4).\nAnswer: -63*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, r: 2, d: 8, y: 1}. What is prob of picking 1 i and 1 d?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -120220 (base 4) in base 14?\nAnswer: -808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409005620?\nAnswer: 2, 5, 20450281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3981937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16413853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/7)*z)**(-47)\/(z*z**16)**(-10) assuming z is positive.\nAnswer: z**(1096\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 124427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.07 bigger than -0.25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(882)*-1)\/((sqrt(108)\/sqrt(3))\/sqrt(6)))**2 + (1*sqrt(2178))\/((sqrt(36)\/sqrt(2))\/sqrt(3)))*1.\nAnswer: 11*sqrt(3) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -757 (b) -0.4 (c) -0.5 (d) 0.34 (e) -1\/4 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 14077*m - 563089. What is k(40)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufs when three letters picked without replacement from {a: 1, e: 2, s: 1, u: 1, f: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 145, -8, 0.\nAnswer: -8, -5, 0, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 6812.\nAnswer: 61308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + 3*sqrt(5).\nAnswer: 4 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31563?\nAnswer: 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005832 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x + 3. Let m(i) be the second derivative of -2*i**3\/3 + 2*i**2 - 134*i. Calculate -5*m(n) + 6*w(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + sqrt(2)*-2)*5.\nAnswer: -10*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2 + m - 1. Suppose 0 = 5*r - 2*z - 52, -2*r - 2*z = -0*r - 18. Suppose 14*n - r*n + 24 = 0. Let v = 7 + n. Determine t(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/21 + 18040\/(-3157)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614 minutes before 6:48 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54080.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27195, 54453, 81701, 108933, 136143, 163325, 190473?\nAnswer: 217581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1855, -1854, -1843, -1816, -1767?\n\"Answer: o**3 - o**2 - 3*o - 1852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37, -56, -97, -172, -293, -472, -721, -1052?\n\"Answer: -2*f**3 + f**2 - 8*f - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 7:13 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 211353.3369 to the nearest 10.\nAnswer: 211350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 3*a + 2 + 0*a**2 + 0. Let w be o(3). Let r = w - -83. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 441705751*r**2 + 12698292.\nAnswer: 883411502*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 6449, -11.3, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -577, -2181, -4847, -8569, -13341?\nAnswer: -19157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16974, 2, 3, 69 in descending order.\nAnswer: 16974, 69, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -99, -4 in decreasing order.\nAnswer: -4, -30, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 42*s + 80\/7*s**4 + 2048\/7*s**2 + 26\/35*s**5 + 2\/105*s**6 + 0 + 256\/3*s**3. Factor q(x).\nAnswer: 4*(x + 2)*(x + 8)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -409, -616, -823, -1030, -1237?\n\"Answer: -207*d - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3672 by 6.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + (sqrt(19) - 3*sqrt(57)\/sqrt(3)) + (sqrt(57) - -2*sqrt(8208))\/sqrt(3))**2.\nAnswer: 46*sqrt(19) + 10051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p**3 + 15*p - 28*p + 4*p**3 - p**2 as f*p + q + r*p**3 + u*p**2 and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1702 + 148072\/87. Let y = -9\/29 + l. Sort 0.1, y, -3 in descending order.\nAnswer: 0.1, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2. Let n(g) = 100287*g - 99. Let b(p) = 5024*p - 5. Let h(f) = -99*b(f) + 5*n(f). Give z(h(y)).\nAnswer: -32950962*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.9 + 23. Which is the nearest to 1\/4? (a) 1\/2 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 547, 562, 577, 592?\n\"Answer: 15*s + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*p - 47*p = 47*p + 2944. What is the highest common divisor of 1058 and p?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -4 (c) 4 (d) 0.28 (e) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67527 is divided by 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16541 and 2975017?\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 18*o**2 - 23*o + 4. Suppose 14*a = -5 + 145. Is p(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 776*h**2 - 1628*h**4 - 6822*h**2 - 1372*h**4 wrt h?\nAnswer: -72000*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 5, v: 7}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/13752 and 17\/1146.\nAnswer: 13752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a - 171*a + 35*a + 46*a + 35*a + 34*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -9*r + 21. What is the lowest common multiple of r and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7494964+-0.3\nAnswer: -7494964.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1105 + -115?\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468 divided by 328.\nAnswer: 117\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -717446 by -717446.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 369 = -3*g + 561, 4*g - 4*b = 1208. What is the smallest common multiple of 147 and g?\nAnswer: 14994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4)\/q)\/q)**(2\/13)*(q**(2\/7))**(-5) assuming q is positive.\nAnswer: q**(-309\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {d: 4, b: 2, h: 4, j: 2, c: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 - 7*k - 27. Let s be p(-4). Find the common denominator of -7\/12 and s\/2 - (-7)\/(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2244\/108 + -12 + (-6 - 3). Let k = 68 + -478\/7. What is the closest to l in k, 8, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-336)\/(-104))\/(((-3)\/(-3))\/13).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 6\/(-1 - 1). Let v = -2 - -1. Let x = -3573 - -3574. Sort c, v, x in decreasing order.\nAnswer: c, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.139102 - 0.139. What is y rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**2 + 4*p - 5. Let l(j) be the second derivative of -j**4\/2 + j**3 - 4*j**2 + 7*j. What is -5*l(a) + 8*u(a)?\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37, 339, 975, 1871, 3027, 4443, 6119?\n\"Answer: 130*s**2 - 14*s - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 4, w: 1, u: 1, s: 4, i: 1}. Give prob of picking 2 s and 1 u.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/4 + (-600)\/125?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ool when three letters picked without replacement from llllollllo?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - q + 968 = -2*n, -n - 971 = -2*q. Let v = -1405 - n. Round v to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847)*1*-2.\nAnswer: -22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4)\/h*h*h**25)**(-26) assuming h is positive.\nAnswer: h**(-1313\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2158)\/8 - (-26)\/(-104). What is the remainder when 615 is divided by h\/(-324) + 457\/6?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166339 and 26651?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -191747*i**3 - 71707*i**2.\nAnswer: -1150482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*o + 8 - 152 = 0. What is the fourth smallest value in o, -2\/21, 43, 0.5?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 2)\/(-3 + 1). Let t(b) = -12*b + 4. Let u be t(j). Let i be u\/3*-3 + 0. What is the greatest common factor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -3. Suppose 4*n - 3*v = 11, -i + 8 = 2*n - 3*v. Let m be 67 - (0 - (n - -1)). What is the highest common divisor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 52, 91, 130?\n\"Answer: 39*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 16 - 0. Calculate the remainder when 29 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2222 (base 7) to base 12\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45028331550.99999646 + 45028331131. Let r = -420 - q. Round r to 7 decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588 = -2*i + 5*z + 606, 2*z = -8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*6\/(-15)*5. Let x = d + -5. Let l be (-8)\/(-52) - (265\/117 + -3). Is x at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 575 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.62691ml to litres.\nAnswer: 0.01162691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6869 + 13333. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 90? (a) -0.5 (b) 3\/13 (c) 2\/5 (d) 2\/23 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25\/4, -1\/377, 3\/5, 0.4, -4, 0.1, -6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**3\/3 + f**2\/2 + f + 340. Let z(w) = 6*w**2 + 3*w + 6. Let m be (-4 + 1)\/(-6 - -3). Determine m*z(b) - 4*p(b).\nAnswer: 2*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**5\/60 - w**3\/2 - w**2\/2 - w. Let v(n) be the first derivative of a(n). Let i(t) = -2*t**2 + 8. What is 3*i(r) + 8*v(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 888751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = h + 19, a = -h + 3*h + 2. Let n(d) = 2*d**2 + 3*d + 1. Calculate the lowest common multiple of n(-3) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -0.0445988?\nAnswer: -0.02675928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3342 times 380?\nAnswer: -1269960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-8))\/(k\/(((k**(1\/5)\/k)\/k)\/k)*k))\/(k**(-5)\/(k**(1\/6)*k)) assuming k is positive.\nAnswer: k**(-169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 239 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2*y = 3*y - 25, -13 - 19 = -7*y + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/(-10) - (-4)\/(-20). Let y(m) = m**3 + 5*m**2 + 3*m + 1. Let d be y(-4). What is the first derivative of -d + 3 + 6*f + o wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 0.2, 58\/3605?\nAnswer: 58\/3605","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 5*n**2 + 5*n**2)*(2781*n - 2781*n + 28*n**2).\nAnswer: 84*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24801180 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 2*f + 4. Suppose 2*v + 6 = 2*y, 2*v - 34 + 15 = -3*y. Suppose -5*m = v*n + 9, -3*n + 4*n + 2*m = -3. Calculate t(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003368 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 203, 208, 201, 176, 127, 48, -67?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1240.972215 to 1 decimal place.\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b + b - b. Let d(r) = r. Let f = -14 + 17. Suppose -f*i + 0 + 3 = -2*o, -5*i = 2*o + 11. What is i*v(s) - 6*d(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**5\/3 + 7*o**4\/3 + 41*o**3\/3 + 37*o**2\/3 - 40*o\/3 - 44\/3 = 0?\nAnswer: -2, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-72)\/(-33) + (-6)\/33. Let m be (-10 + 9)*(c - 9). Let f(y) be the second derivative of y**5\/20 - 2*y**4\/3 + y**3 + y**2 + 10*y + 1. What is f(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3246 = 4*f + w, -5*w = -f - 94 + 916. Is f greater than or equal to 812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (4*sqrt(84) - sqrt(84)))\/sqrt(12)*-3 + -5 + (-1 + 4 + sqrt(175))**2*-1.\nAnswer: -189 - 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55.3 - -53. Let u = h + 0.3. Which is the closest to -1? (a) -0.4 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12141114 (base 5) to base 13\nAnswer: -40555","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: (32 - 24) + -13 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, e: 2, k: 7, o: 4}. What is prob of sequence ok?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k - 7. Let v(d) = 2*d + 2. Let p(q) = 2*m(q) + 7*v(q). Let f = -5 + 7. Determine p(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6892, -6884, -6876, -6868, -6860, -6852?\nAnswer: -6844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l. Let g(w) = 3*w - 2. Let a(o) = -16*o + 11. Let r(c) = -2*a(c) - 11*g(c). Give y(r(v)).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6221659us to nanoseconds.\nAnswer: 622.1659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 9, -3\/5, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -48*n - 24. Let o be (-80)\/36 - 18\/(-81). Is c(o) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c9c49c9 - 5?\nAnswer: -4c9c49ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 18*m + 179. Let f be y(17). Suppose 2*v - 3*b + f - 2027 = 0, b + 3104 = 4*v. What is the highest common factor of 21 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 8*t + 1 + 1 - 3. Does 3 divide c(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*t + p, -2*t = 4*p - 283 + 253 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1701180 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.060136556 and -0.094?\nAnswer: 0.033863444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48693, -44774, -40855, -36936, -33017, -29098?\nAnswer: -25179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, j: 5, c: 2}. What is prob of picking 1 c and 2 j?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 267, 5, 4 in increasing order.\nAnswer: -4, 4, 5, 7, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -22*q**2. Let d(x) = -1085315*x. Determine d(l(u)).\nAnswer: 23876930*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 4738.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:30 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 11*d = 0. Let a(m) = m**3 - m**2 - 7. What is a(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(-8) + 11\/44 - (-126830)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 54 + -252?\nAnswer: -1cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15 - ((63 - 4) + -38)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*c + 182, 0*w - 355 = -4*c - 5*w. What is the highest common factor of 34 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4631207 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 636706 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -89, -38, 45, 160, 307?\n\"Answer: 16*p**2 + 3*p - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 3, d: 9, c: 3, r: 1}. Give prob of picking 1 q and 1 r.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 28*n - 127. Let q be v(22). Put q, -1, -3, 16 in decreasing order.\nAnswer: 16, q, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 11 = 2*u, 3*u = -5*f + 3*f + 15. Suppose -3*h + u = -2*h. Let w(o) = -3*o**3 - 4*o**2 - o + 2. Calculate the remainder when w(-2) is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51829\/6 at least -8638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3224 and 6045.\nAnswer: 48360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2*y = -20, -2*s + 772*y - 21 = 773*y for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 17*h + 4. Let z be k(17). What is the greatest common divisor of 12 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = p - 33, -f + 27 = 5*p - 34. Suppose -2*d = -0*d - z - 3, -3*z + p = 5*d. Suppose -29 - 27 = -d*m. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010100101100001 (base 2) to base 16.\nAnswer: 12961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - b**2 + 5*b + 2. Let i be w(-3). Let z(x) be the third derivative of 0*x - 1\/30*x**i + 0 - x**2 + 1\/6*x**4 - 1\/2*x**3. Determine z(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000012938 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 12 = -m, -4*h = -m + 107 - 71. What is the remainder when 79 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 + 11293881629*w - 11293881629*w.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3253*y**6 - 8203*y**4 + 676563*y**2 + 5*y?\nAnswer: 390360*y**3 - 196872*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*23469061.\nAnswer: -23469061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -128, -259, -392, -527, -664?\n\"Answer: -h**2 - 128*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1.5 (b) -0.2 (c) -0.03 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 223472503 + 4?\nAnswer: 223472507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 - 1163\/9. Suppose -j + 2 + 0 = 0. Suppose j*d + 3*d = 0. What is the smallest value in -0.1, a, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-17)\/204)\/((-2)\/3))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -285\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -39912, -39910, -39908?\n\"Answer: 2*o - 39914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 23174082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15377 is divided by 3072?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3489.674 kilograms to milligrams.\nAnswer: 3489674000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/672 - (-2375)\/(-21000) - (-88)\/630?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5 - 1. Suppose -7*p + 4 = -y*p. What is the first derivative of b**2 - 2 + 2*b**2 - p - 2*b**2 wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -5*c - 2, -2*w + 6 = -5*c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.041 and -4.8?\nAnswer: 4.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888382 is divided by 5231.\nAnswer: 5222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4888064?\nAnswer: 2, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 178 in increasing order.\nAnswer: -5, -1, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 20362656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*g - 5896. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - 11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2448)\/84)\/17)\/((-78)\/21).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1115 + -160?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 49*m - 145. Let b(j) = -56. Determine 3*b(k) - q(k).\nAnswer: -49*k - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 293696\/(-13767)*(-45)\/(-24)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r - 2. Let x(i) = -259*i + 12. Suppose -13*a - 54 = -41. Let n(f) = a*x(f) - 5*s(f). Let z(j) = -j. What is z(n(c))?\nAnswer: -284*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166.52 + 1.52. Let l = 165.00000344 + q. What is l rounded to seven dps?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37025\/153 - 242. Let h = 2\/17 + m. Let w be ((-16)\/(-140))\/(2\/5). Which is the smallest value? (a) h (b) -1 (c) 2 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59825*c**2 + 3348 - 119643*c**2 - 3*c**3 - 3348 + 59818*c**2.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1300, -1372, -1442, -1510, -1576?\n\"Answer: w**2 - 75*w - 1226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 25*g**2 - 695*g - 185. Let s(i) = -26*i**2 + 695*i + 187. Let v be (-2)\/(-5 + (-1)\/(25\/(-115))). Let u(t) = v*s(t) + 6*q(t). Factor u(a).\nAnswer: 5*(a - 35)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26069416*i + 12936243 with respect to i.\nAnswer: -26069416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 17, 1619, -4, 1, -6, 3 in descending order.\nAnswer: 1619, 17, 5, 3, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -92*x**2 + 670*x - 1093. Calculate w(4).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 1092684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 154 + 39 = 0. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/88668 and -131\/118224?\nAnswer: 354672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 752.8435 years to millennia.\nAnswer: 0.7528435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -952.9 + 922. Let r = 30.9 + z. Let a = 0.03 - -0.27. Which is bigger: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 + 2*h + 2*h**2 + 0*h**2 + 2. Let d be u(2). Does 4 divide 28\/(-7)*6\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/1)\/((1442\/515)\/(8\/30)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (2 - 17 - 0)) + (326 - 418) - -12.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 9*i - 9*i + 112*q + 2 = -24*i + 113*q, -5*i + 55*q = -130 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 3. Let s be 1068\/9 - u\/(-3). Suppose 86 = 4*j - s. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p + 0)*(-1 - 2 + 4) + 10 - 6*p + 0 + 8*p.\nAnswer: 4*p + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 115523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 9*o - 16. Let y(z) = z**2 - 1. Let a(w) = -q(w) + 6*y(w). Let r be (-72)\/15 - (-2)\/(-10). What is the units digit of a(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32518313\/8 - -4058899. Let d = -5882 - q. Calculate the common denominator of 2 + -1 - 15\/(-22) and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479*k**3 - 7 + 477*k**3 + 7.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 115667727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66999584 a multiple of 1432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24561.7499882 + 24561.9. Let s = g - 0.15. What is s rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3358*x**2 + 6789*x**2 - 3429*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 120*o*r**2*v**2 + 388*o*r**2*v - 2*r**2*v**2 - 5916*r**2*v + 2*r wrt o?\nAnswer: 120*r**2*v**2 + 388*r**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-p**2 - 2*p - p + 4*p)*(1 + 3 - 2).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 - 3 + 0*c**4 - 2*c**4 - 2*c**2 + 2*c + 4*c**4 - 1 to the form u*c + d*c**2 + i*c**3 + y*c**4 + s and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010001100111110011 - 10?\nAnswer: -101010001100111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -9*x - 3. Calculate z(6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/10*(26\/3 - 10). Which is the nearest to 22.3? (a) f (b) 9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*p**3 - 2085*p - 75*p**3 - p**4 + 2082*p + p**2 as c*p**3 + z*p**2 + t*p**4 + g*p + o and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17621 (base 9) in base 14?\nAnswer: -4613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:18 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2132858*k**3*l + 15968*k**3 - 11*l - 626 wrt l.\nAnswer: 2132858*k**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 2*y + y)*(713 + 147*y**2 - 713).\nAnswer: -147*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -626 (c) 0.026\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6*r = -220. Let c = r - 23. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -4. Suppose i*c + 4*y = 164, -4*y - 98 - 32 = -3*c. Suppose 0 = 2*p + 182 + c. Round p to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let u = 28472 + -2135402\/75. Which is smaller: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suss when four letters picked without replacement from {l: 4, s: 4, u: 3, m: 9}.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -81*(4 - 1 - 808\/(-24)). Calculate the common denominator of -99\/10 and (-9603)\/n - 2\/(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-6))\/(3\/66). Let i = b - 6. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -2\/80965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 9341725.\nAnswer: -2\/9341725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -18 + 1 - (2 - 48)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 35*x - 273 = 0. Suppose 37*i - 48 = 29*i. What is the greatest common divisor of x and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23422673 + 13304083931\/568. Let i = w + 21\/142. Calculate the common denominator of 77\/18 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 0. Let f be (-1 - 13)*(v - -1). Suppose 0 = -1530*w + 1515*w + 1680. Calculate the greatest common factor of w and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 26 - 3*u**2 + 2045*u**3 - 7989*u**3 + 30 + 2*u**2.\nAnswer: -5944*u**3 - u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4, -3, -12, -23, -36, -51?\n\"Answer: -d**2 - 4*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l**4\/2 + 740*l**3 - 229355*l**2\/2 + 1081140*l - 2233530 = 0. What is l?\nAnswer: -83, 3, 78\/11, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 411*f*z**2 - f*z + f + 4518*z**5 - 3*z + 150046 wrt z?\nAnswer: 822*f + 90360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*i**2*u + 3*i**2 + 2*i*u + 366*u - 817 wrt u.\nAnswer: -26*i**2 + 2*i + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -866.01774248133 - 5.98225832467. Let g = o + 872. What is g rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6835369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*i + 46*i + 2. Solve 2*d = -4*u + 8, -3*d = 4*u - i*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:33 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12840674 and 1.3?\nAnswer: -16692876.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 13*c**2 - 50*c + 16. Let a be 56\/((-40)\/(-5))*-1. What is the remainder when 216 is divided by k(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20102010 + 11202222201?\nAnswer: 12000101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3202.3 rounded to the nearest ten?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30154 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151829 is divided by 614.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 13) in base 14?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 10*a**2 + 15*a - 5. Let g(f) be the second derivative of -f**3\/6 + 11*f**2 + 2*f. Let k be g(11). Does 15 divide o(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q = 279 + 71. Calculate the greatest common divisor of q and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.49 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/324*13\/(-260)*16?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 48*x. Let f(o) = 7*o + 161. Determine y(f(h)).\nAnswer: 336*h + 7728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*o**4 - 3*o**2 + 86*o.\nAnswer: -384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 28 = -x - 4*x, 3*x - 4*n = 3. Are x and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/92 and -81\/92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*a + 36*a - 15*a - 2*a**3)*(-3 - 2 + 3) - 7*a + 3*a - 2*a**3 + 4*a**3.\nAnswer: 6*a**3 - 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 20602.5206?\nAnswer: 61807.5618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 5*z = 1176. What are the prime factors of 51*((-1652)\/z - (-4)\/(-14))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95340*6\nAnswer: -572040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -9. Suppose r = -4*w - 21 + 61. Let b = 11 + -8. Calculate the remainder when w is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -403*j - 416*j + 15 + 825*j to the form p*j + f and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -19. Find the third derivative of -229*y**x - 9*y**4 + 239*y**2 + 0*y + 0*y wrt y.\nAnswer: -216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-16)*((-72)\/(-140))\/(15\/(-70))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7155)\/(-90)*(-4)\/(-46) + -7.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*f = -3, b + f + 4 = 5*f. Suppose d + l = 6*l - 14, d - l + 6 = b. Suppose 3*a + 0*a = -4*h, 8 = -2*a. Sort -2, d, h.\nAnswer: d, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 768 divide 139550208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 18. Let a be k(18). Suppose a = -4*r + 5*r + 12. Let x = 16 + r. Solve 4 + 4 = x*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326855984.\nAnswer: 2, 7, 13, 29, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -862*t - 4*t**2 + 862*t.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -104\/7? (a) 29 (b) 1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20894 rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1898 is divided by 324.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/19625 and 32\/11.\nAnswer: 215875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, 0.14, 4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*n = 9, 2*v + 10 = -27*n + 23*n. Which is the second biggest value? (a) -3\/4 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((27 - (19 + -3)) + (2 - 49))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -66. Let i = -40 + x. 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 is the highest common factor of 160764 and 17148?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 207251\/45 - 23024\/5. Let r(d) be the first derivative of 5\/12*d**4 - 5 + 1\/2*d**2 - g*d**3 - 1\/15*d**5 + 0*d. Factor r(l).\nAnswer: -l*(l - 3)*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1152236183 to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-5\/2)))**(-11\/3) assuming v is positive.\nAnswer: v**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, and 1 b when three letters picked without replacement from {c: 2, b: 1, v: 2, j: 2, w: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3\/883 (b) -6\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5634693 and 10323.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53648941?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 6\/9 - (-48)\/99.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 173383*i**2 - 6187 wrt i?\nAnswer: 346766*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 36 (b) -9 (c) 2\/3 (d) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -9*l**3 - 45*l**2 - 7. Let o(i) = -27*i**3 - 134*i**2 - 18. Calculate -3*o(a) + 8*q(a).\nAnswer: 9*a**3 + 42*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 168 = -572. Suppose -3*j = -j - g. What is the remainder when j is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15128, -15126, -15124?\nAnswer: -15122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*q**4 + 21*q**2 + 595*q - 1 wrt q.\nAnswer: 204*q**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70771610 a multiple of 830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, w: 3}. What is prob of picking 2 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 - -30. List the prime factors of k.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2356900 is divided by 8931?\nAnswer: 8047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925750?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 23.904?\nAnswer: -7.1712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/81)\/((-6)\/154*(-33990)\/11124)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 12:42 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, 391, 9, 5 in decreasing order.\nAnswer: 391, 9, 5, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 2 - 5) + 4 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(0*z - z + 0*z) - z - 3*z - z + 0 + 0 - 2*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-26172)\/(-48))\/((-1)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1044, -2095, -3146, -4197, -5248?\n\"Answer: -1051*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**9\/15120 + a**6\/120 + 3*a**5\/20 - 6*a**2. Let w(s) be the third derivative of p(s). What is the derivative of w(y) wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 18, -828?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from xrderkkkrrwk?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9524, 9521, 9518?\n\"Answer: -3*d + 9527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2569*a - 1300 = 2559*a. Calculate the greatest common factor of 20 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*m = -6*a + 113, 4*m = a - 11. Let c(i) = -i**3 + 7*i**2 - 6*i + 9. Let z be 2*1\/(-2) - -7. What is the remainder when a is divided by c(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*(-100)\/1065. Let m = -3307\/639 + t. Find the common denominator of m and 27\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - 0) + -55 + 83 - 3) + -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 333, 0, -1 in descending order.\nAnswer: 333, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4791.\nAnswer: 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 11:09 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.54*14371.\nAnswer: -410148.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c**2 - 4*c + 1. Let z(g) = -6*g**2 - 3*g + 1. Let w(b) = 2*f(b) - 3*z(b). Let t(d) = -2*d**2 + 1. What is 5*t(q) + 2*w(q)?\nAnswer: -2*q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1295 = -4*q - 223. Find the common denominator of 139\/18 and (q\/(-60))\/(12\/9).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 42 (b) -3\/7 (c) 111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4\/g)\/(g*g**(-5))*(g**(-2\/5)\/g)\/g**(-2\/5)*((g\/g**3)\/g**(5\/4))**(-1\/15) assuming g is positive.\nAnswer: g**(373\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2 (b) 2 (c) -0.04 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*l - 72 = 0. Let c be 22\/3 - (-8)\/l. Let n be ((-549)\/(-45) + -11)\/((-3)\/(-10)). Solve -n*s + 8 = -c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2837, 13924, 43995, 102542, 199057, 343032?\nAnswer: 543959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.016 - -0.09. Round y to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**3 - 2*m**2 - 25 - 2*m**2 + 19 to u*m**3 + z + k*m + w*m**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1274 and 288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-2 - (0 + 4))*(-546)\/(-117)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2326828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 87?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 672*g - 2*g**3 - 450*g**4 - 275*g**2 - 336*g - 336*g wrt g.\nAnswer: -10800*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3255397941.4 take away -4.42?\nAnswer: 3255397945.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 54*a**2 + 198*a - 7845. Give h(53).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 404 (c) -2\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 46\/57, 4, -2, 176, -0.1, 0.02?\nAnswer: 46\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 13*l**3 - l**2 + 3*l - 3. Calculate w(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 2*s - 16, 3*s - q + 18 = 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.79, -1\/3, 1\/2, 0.1 in descending order.\nAnswer: 0.79, 1\/2, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-3)\/9)\/((-4)\/336) and 2?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((204\/272)\/((-22)\/(-8) - 2))\/27.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902.1 rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.7 and 21943.4.\nAnswer: 59247.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -30. Let v = f - -18. Let a = 8.03 - v. What is a rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 + 2*t - 1. Let g be a(1). Suppose 3*k - 15 = -h + 5*h, k = h + g. Differentiate -1 + 5*y**2 + 2*y**3 - k*y**2 with respect to y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127 (base 8) to base 7\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.042 times 46\nAnswer: 1.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - (sqrt(216) - 1*sqrt(216)) - sqrt(216)) + sqrt(216))\/(sqrt(27)*4 - sqrt(3)).\nAnswer: 6*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 626668769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 7*i - 18. Suppose 4*y = 5*y + 3, 2*y = -3*d - i. Suppose -7*q + 70 = -d*q. What is the smallest common multiple of 9 and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Let k be 86\/7 - (-2)\/(-7). Suppose -m - 2*m = -k. What is the remainder when m is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2522 + -0.0292. Let m = n + 97.777. Let o = m - 98.039. Round o to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 + 181*d - 847. Give x(5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3591294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*q - 5, 3*q = 7*q + 2*d + 10. Suppose 2*w + q*w = -12. Let o = -6 - w. Solve 3*j - 2 + 11 = o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15144850 is divided by 7572417.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7)**(2\/89) assuming g is positive.\nAnswer: g**(14\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 370 + 269. Does 32 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**3\/8 + 513*j**2 - 12351*j\/8 - 4113\/2 = 0. Calculate j.\nAnswer: -1371, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-113)\/30 + 4)*4\/56. Let p(h) be the third derivative of g*h**5 + 0 + 0*h**3 + 0*h + h**2 + 1\/12*h**4. Factor p(r).\nAnswer: r*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l = 0. Suppose l = -10*i + 7*i - 6. Let x = 19 + i. Calculate the remainder when 31 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7284, 12025, 14220, 13869, 10972?\n\"Answer: -1273*h**2 + 8560*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7\/4)\/t**(2\/57) assuming t is positive.\nAnswer: t**(-407\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18680004 - 18680006 + 23*i**2 - 6*i**2.\nAnswer: 17*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by -785185.\nAnswer: 62\/785185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-24)\/(-56)*1844\/(-6). Let f = z - -264. Factor -6\/7*n - 2\/7*n**2 - f.\nAnswer: -2*(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42171 is divided by 8396.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -138 in -2, -0.1, 2\/7, -18722?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12159*h*l**5 - 24151*h + 3*l**4 - l**2 wrt l?\nAnswer: -729540*h*l**2 + 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21816589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*k - k - 53, -3*w = 5*k - 157. Let f = w + -52. What is the closest to f in -11, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 - 10*s**2 - 6. Determine g(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:15 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4637 (base 9) in base 7?\nAnswer: -13006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.0473 + -0.0473. What is the fourth smallest value in -0.4, 0.4, 7, j?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + a + 2*a + a**2 - 3 - a**2. Let s(c) = c**3 + 5*c**2 + 3. Let o be s(-5). Is q(o) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 4*f = -174, -3*f = 3*h - 837 + 942 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 9:07 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.6 + -19.753. Let v = 0.243 + o. What is v rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from gjxeeeggkgkgkag.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10299216740 by -4.\nAnswer: -2574804185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5436 + 5554. What is the remainder when v is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-three quarters of a meter?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 3 - g**3 - g**2 + 6*g**2 + 1. Suppose 3*a - 20 = -a. Give h(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/10 + 923*b**3\/10 + 8502*b**2\/5 - 77614*b\/5 + 23504 = 0.\nAnswer: -904, -26, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 262, 394, 526, 658?\nAnswer: 790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 1735204 = 249461. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0 (b) -292 (c) 14 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4657 (base 10) to base 15.\nAnswer: -15a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -13302323?\nAnswer: -13302330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 970*c**2 - 970*c**2 + 36928*c**3.\nAnswer: 36928*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -484.4040769 - -506.20409. Let u = -46.4 + 24.6. Let f = v + u. Round f to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655212839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/7)*u\/u**(-3)*u**6\/(u\/(u\/(u*u**0*u*u*u))) assuming u is positive.\nAnswer: u**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27978675.\nAnswer: 3, 5, 373049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*y = -19*y + 66 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from ewwwwewwwwwwwwwwww?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7, -0.2, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {p: 3, s: 1, c: 3, w: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-3) + (-4)\/(-2). Let i = -1146 - -1150. Put i, -2, 1, s in decreasing order.\nAnswer: i, s, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q, -4*q - 16 = -4*z - 0*q. Solve -z*v - 3 = 13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*m + 7, -5*m + 20 = q. Let t = q - 4. Let b(j) = 0 - t - j**2 + 1. Let k(o) = -5*o. What is k(b(f))?\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -52. What is the closest to -2\/7 in h, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 4. Suppose 5*l - 6*l + 2 = j. Suppose 7*u - 120 = l*u. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*4*(-1)\/48?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-18)*(-3)\/6. Let z(d) be the third derivative of 0*d - 1\/72*d**4 + 2*d**2 + 0 + h*d**3 - 1\/180*d**5. Factor z(x).\nAnswer: -(x - 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/2 + ((-257355)\/350)\/(-57).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3725303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 8:15 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*v - 5*x + 6, 2*x = v - 1. Let g be -2 + 7 + (-6)\/(-9)*v. What is the highest common factor of 48 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112089784229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -68*u**4 - 328*u**3 - 348*u**2 + 72*u = 0. Calculate u.\nAnswer: -3, -2, 0, 3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 78163883543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 3185?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 + v**2 - 2*v - 4. Let d(h) = -h**3 - 2*h - 4. Let f(c) = 3*d(c) - 2*i(c). Let n be f(4). Suppose 2*u = -0*u. Solve -8*o + 3*o - n = u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 95*g - 3783. Determine l(40).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**4 - 4*p**3 - 5*p**2 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 8 = -4*o, d - 3*o - 3 = -2*o. Suppose d*u + 3*n = -0*n + 606, 0 = -4*n - 8. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3828 times 15.2\nAnswer: 58185.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**2 - 7*g**2 - 9*g**2 + 0*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1896528169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.16 + -0.14. Let w = s + 0.6. Let g = 4.3 - w. Sort g, -1, -10.\nAnswer: -10, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 592 and 90946?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 14 (b) -2\/7 (c) 0.3 (d) 2\/11 (e) -9467 (f) 5 (g) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 686555*d**5 + 21*d**2 - 10741 wrt d?\nAnswer: 41193300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.03, -1\/2 in ascending order.\nAnswer: -1\/2, 0, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -8244.\nAnswer: 5\/8244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + d + 7 = 0, p = d - 2*d + 3. Suppose 0*u + 10 = 5*u. Let o = u + p. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 10 + 3)*(-300 + 300 - 40*l).\nAnswer: 280*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ongmgmgogssgwgogs. What is prob of sequence oss?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-9)*(-549594)\/76 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 24*g + 1 - 2*g.\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5)*(j\/(j\/(j**(-1\/7)*j)))\/j)\/((((j\/j**4)\/j)\/j*j)\/(j\/(j\/(j\/(j**0*j)*j)))))\/(j**(1\/3)*j*(j\/j**(2\/9))\/j*j*j**(-44)) assuming j is positive.\nAnswer: j**(2630\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/55 + 206\/385. Let a = 158196 + -158192. Suppose 5*v + 2 = -u, -v - 3*u = u + 8. What is the smallest value in -8, v, a, n?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115 - -117. Let k(l) = -l**2 + 6*l + 8. What is the lowest common multiple of i and k(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 4:07 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 (base 7) in base 10?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.9 and -129.8.\nAnswer: -130.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -55.979. Let z = o - -0.979. Let m = -19 - -58\/3. Which is the nearest to m? (a) -4\/5 (b) z (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 3584.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-5) + (-154110)\/(-550) is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4815\/18*7\/(-175) and 55\/294?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 890412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22284, -44611, -66938, -89265, -111592?\nAnswer: -133919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 826565.1 litres in millilitres?\nAnswer: 826565100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 - 10 + 3 + 6*i)*(3*i - 2*i - 3*i).\nAnswer: -12*i**2 + 142*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 126307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-128 - -132) + (-1)\/(2\/(-600)). Calculate the greatest common divisor of n and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3010206*y**2 - 3010206*y**2 - 44 + 6*y**3 as v*y**2 + r + p*y**3 + a*y and give r.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -1809\/5*p**4 + 89826\/5*p**2 + 120384\/5*p - 12\/5*p**5 - 34656\/5 - 67011\/5*p**3 = 0?\nAnswer: -76, -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94 + -53. Let k = 19 - h. Let z = k + 21.9. Which is the nearest to 1? (a) z (b) 1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**7\/63 - 2*q**6\/45 - 9*q**5\/10 - 26*q**4\/9 - 28*q**3\/9 - 3*q + 351. Find z such that s(z) = 0.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, s: 11, a: 2}. What is prob of picking 1 j and 1 s?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2765 - -0.0765. Which is the closest to 2\/9? (a) -0.05 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-3 + 9) - -6 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**4\/18 + 4*t**3\/27 + t**2\/3 - 1697. Solve d(m) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y + 7555 = 7611 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 + 2*x**2 + 7*x - 6. Let h be w(2). Suppose 4\/9*i**3 + 0*i + 2\/9*i**2 + 2\/9*i**4 + h = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/564 and 89\/12348?\nAnswer: 580356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10+0.05102\nAnswer: 10.05102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 268701229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -9*y + 92. Let h(b) = -2*b. Determine k(h(s)).\nAnswer: 18*s + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487052481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Let q = 10 + y. Suppose q + 9 = 2*v. Solve -b - v = -6*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -17*q**3 - 3*q. Let j(h) = -203*h**3 - 35*h. Calculate 6*j(s) - 70*o(s).\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 7. Let t be q(7). Let r(v) = -2*v - 23. Let a be r(-14). Put t, 4, a in decreasing order.\nAnswer: a, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 373 + -374. What is the closest to u in 2\/9, -2\/29, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 90\/373?\nAnswer: 90\/373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/30 + (-22)\/5. Let w be (7 - 9)\/(r\/74). Let d = w + -21. Solve 3*c - 2*v + 10 = 7*c, -d = -4*c + 4*v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4 + 5849*q**3 - 11715*q**2 - 76073*q - 58510 = 0. What is q?\nAnswer: -5851, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j + 9. Let u(v) = 2*v + 4. Suppose -i - 2*q + 9 = -4, -5*i + 5*q = -20. Let n(x) = i*u(x) - 4*z(x). Determine n(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 95*b - 763 + 573 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85946.2 take away 50499590?\nAnswer: -50413643.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.51 + 1.5. Does 1 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2394*v**6 - 348*v**2 - 31*v.\nAnswer: -287280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002745 to 6 decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 405 + 20?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 93*g + 123. Suppose -6*s - 215 = -257. Let p(x) = -93*x - 120. Let j(r) = s*p(r) + 6*u(r). Differentiate j(h) wrt h.\nAnswer: -93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**2 - 6*t**2 + 9*t**2 - 5 - 19*t**3 as i + z*t + b*t**3 + w*t**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2\/7)\/(459\/(-238))*3\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*k - 48. Suppose -2*s + 6*s - 33 = q, s - k = -q. Suppose 0 = -8*i + s*i - 90. Is i a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v**2 - 2*v**3 + 2*v - 6 + 3*v**3 - 9*v. Let o be m(8). Solve -o*s = 3*s - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-13\/3)*b**(-29)\/b*b)\/((b**(-32)\/b)\/b**5))**(-42) assuming b is positive.\nAnswer: b**(-196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izizjijzzzzzizizzzzz. Give prob of sequence iji.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -672 - -676. Suppose h + 5*v = 10*v + 20, 4*v + 16 = -t*h. Which is greater: 2\/395 or h?\nAnswer: 2\/395","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 + 74*q\/3 - 3500\/9.\nAnswer: 2*(q - 14)*(q + 125)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -67 + -1 + 2 + 0. Let u be 3*(202\/d + 3). What is the closest to 1\/2 in -5, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 33 - 7. Suppose -9044 - 38071 = -27*q. Suppose -19*p - 719 = -q. What is the lowest common multiple of p and l?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 16 - 3) + (5 - (-2 + -1)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*l + 20148 = 5*z - 77*l, 4*z = 4*l + 16068. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*g**2 + 0 - 17\/4*g = 0 for g.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*z + 6, 2*z - 49*r - 1 = -52*r. Suppose 2*f + 3*a = a + 2, 2*f - 5*a = -19. Sort f, 1, 7, z in increasing order.\nAnswer: f, z, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2450) - 3*sqrt(2450))\/((sqrt(40)*-2)\/sqrt(4)).\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 13) to base 6.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + -83 - (-5 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6490 + 40099. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1795, 0.3, -1, 4 in increasing order.\nAnswer: -1, 0.3, 4, 1795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -60?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (21 + 11 + -8).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 210187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x + 1 + 13. Let d be x\/2 + 0\/6 - -2. Let z be 22\/(-66)*6\/28*-1. Which is the biggest value? (a) d (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*s**5 - 22*s**5 + 2*s**5 + 4*s**4 - s**5 - 4*s**4 + (4*s**4 + s**4 - 3*s**4)*(s - 5*s + 5*s) + s**5 + 1 - 1 - 3*s**2 - 2*s**5 + 3*s**2.\nAnswer: -30*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1491\/4, 2\/15, -3\/8, 0, -1?\nAnswer: 1491\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -3*j - 1\/2*j**3 + 0*j**2 + 0. Let g(n) = -2*n. Calculate s(g(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 16 + 1 = 5*y, 3*y - o = -5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 4. Let z be o(9). Let d be -42*5\/(-280)*(-16)\/54. Put z, 10.5, d in descending order.\nAnswer: 10.5, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571572789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 423 + -422.91. Put v, 0, -0.1 in decreasing order.\nAnswer: v, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -14.93. Let a = -9 - -21\/2. What is the second smallest value in -2\/3, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9903151, -9903152, -9903153, -9903154?\nAnswer: -9903155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -35*m + 10*m - 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(15\/(-4)))\/8.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2490*v**2 + 1753*v wrt v?\nAnswer: 4980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, -17, 119 in ascending order.\nAnswer: -17, -3, 7, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1294073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 113?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-6))\/(10\/3). Let m = -0.3 + 0.2. Let h = 54 + -50. What is the nearest to m in h, j, 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40370 and 9542?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 19*j**2 - 39*j - 10. Does 12 divide s(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:17 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101111000 - 10011000010?\nAnswer: -110000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 513 - 3*y**3 + 2*y - 3*y**3 - y**2 - 514 + 7*y**3 to the form l + w*y**3 + v*y + k*y**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/130 and ((-3)\/(-6))\/(560\/2604)?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21360 and 1520?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -207020 * -17.\nAnswer: 3519340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r + 1124 = 4*q, -r + 850 = 3*q. Suppose 3*w = 4*u + q, 129 = 4*w - 2*u - 237. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768236380 a multiple of 1910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(38) + 2*sqrt(38)))\/sqrt(2) + 2*(sqrt(38)\/(sqrt(10)\/sqrt(5)))**2.\nAnswer: 38 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((-56)\/539)*-11*(-10)\/385.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4592485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002985696 rounded to five decimal places?\nAnswer: -0.00299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 3*h - 5. Let a = -1 + 4. Suppose -a*z + 3*s - 15 = 0, -z + s + s - 5 = 0. What are the prime factors of p(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151 + 5 + 17)*(120*k**4 - 22 - k**5 - 120*k**4).\nAnswer: -173*k**5 - 3806","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + f + 4)*(47 - 11 + 30 + (-3 + 0 + 5)*(-6 + 2 + 3)).\nAnswer: 64*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/250072 and 7\/8.\nAnswer: 250072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5038 + 5040. Let d(a) = a - 2. Let r be d(6). Suppose 3*l = -0*l + 5*h + 2139, 0 = f*l + r*h - 1426. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119 - 47) + -116 + (138 - -6)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-6 - -21) - -13 - 2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 8\/7 in decreasing order.\nAnswer: 3, 2, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 175 = c + 3*c, -2*a + 150 = -4*c. List the prime factors of 16\/c*10 - -378.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -3*o + 16, 15 = 5*p + 10*o + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 2:46 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25582 is divided by 6185?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 176 + -178. Which is the nearest to 5? (a) 0.4 (b) -1\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*v - 15 = 0, -3*a + 12 = -0*a - 3*v. Let h be ((-25)\/(-4) + a)*(-608)\/(-114). What is the highest common factor of 238 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7054914687 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k = 10, 5*l + 2*k + 30 = 0. Let n be (1*(-28)\/4)\/1. Is n greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 166498 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 5*t + 6. Let y = -4 - 0. Let v be g(y). Let q(s) = 0 + 5*s**2 - v*s**2 + 0. Let p(r) = -r**2. Calculate p(q(b)).\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j = 17*j - j - 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27, -68, -125, -192, -263, -332?\n\"Answer: t**3 - 14*t**2 - 6*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + r**2 - 2*r**4 - 2 - 2*r**2 + 3*r. Let a(d) = 2*d**4 + 4*d**2 - 4*d + 3. Let w(t) = -3*a(t) - 4*n(t). Differentiate w(p) with respect to p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5715 - -5721. Let q(v) be the second derivative of -22*v - 1\/24*v**3 + 1\/40*v**5 + 0 + 1\/120*v**x + 1\/8*v**2 - 1\/24*v**4 - 1\/168*v**7. Factor q(b).\nAnswer: -(b - 1)**3*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Let l be g(0). Let r be (-1 - 0) + l + -16. Suppose 5*d = -25, 2*m + d - 118 = -155. Is m smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12133479 to the power of 1\/3, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -581675 + 5241901\/9. Let o = r - 758. What is s in -20\/9 - 8\/3*s - o*s**2 = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-39)\/(-12))\/(12\/144*-18) and -41\/1936?\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/17 and -9\/1564?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + (-198)\/48 + 2114\/16 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010 (base 2) in base 4?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 14*k - 1. Let g be v(-1). Let d be ((-6)\/(-10))\/(3\/g) - -1. Let b be (d\/2)\/(((-1)\/(-1))\/(-6)). Solve b*s = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 392 = -88. Calculate the remainder when l is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.176.\nAnswer: -0.0352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 973, 1944, 2917, 3892, 4869?\nAnswer: 5848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*sqrt(832))**2 + sqrt(832).\nAnswer: 248*sqrt(13) + 7513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-18)*-2 + 64\/78. Which is the nearest to z? (a) -4 (b) -1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {u: 6, r: 12}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6448511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8*v**3 - 2549*v**2 + 952*v - 1598. What is i(-319)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6 = -z. What is the biggest value in -1, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 983063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 13*i - 33. Let h be z(-9). Let d = 7 - 2. Suppose h*c - d*c = -40. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 6, 32, 78, 150, 254, 396?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 18 + -5 + 2. Suppose 5*b - 20 = -2*o, 2*b = -2*b - 3*o + c. Solve 7 = -b*u - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, u: 1, p: 1}. What is prob of picking 2 g and 1 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*a + 60. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**4\/12 + 3016*j**2. Let s(n) be the third derivative of 5*n**4\/24 - n**2. Calculate a(s(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 125\/10*(-748)\/5. Let x = 3279 + a. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -12212022300?\nAnswer: 12212022233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 186, 412, 728, 1134, 1630?\nAnswer: 2216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-15)*(x\/x**(-2\/81)*x)\/x*x)**(21\/8) assuming x is positive.\nAnswer: x**(-7357\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2118388 = 4*n, -2*x - 3*x + 1059194 = 2*n. Suppose 0 = 5*r - 2*g - n - 1170407, 680002 = 2*r - g. Round r to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 1. Suppose t = -0 + 5. Suppose 8 = -2*b - 2*z, -z + 3 + 35 = -t*b. What are the prime factors of x(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/2)*f**(4\/3)\/f*f)**(1\/17)\/(f**(-3\/7)*f*f\/(f*f*(f**9*f*f)\/f*f))**(2\/27) assuming f is positive.\nAnswer: f**(5377\/6426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2739000 to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5681 plus 4314031349?\nAnswer: 4314037030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -70 from -0.047.\nAnswer: 69.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -672*i + 86. What are the prime factors of m(-3)?\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 - ((1 - -2) + 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 426, 10 in decreasing order.\nAnswer: 426, 10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.4\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 3 + 3 + (21*y + 21*y - 3*y)*(128*y + 144*y + 35*y).\nAnswer: 11972*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4322, -69, 0, -1 in increasing order.\nAnswer: -69, -1, 0, 4322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10 + (-116)\/10. Let s = 24 - y. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 6:56 AM?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4451 is divided by 4192.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, b: 2, h: 2, z: 3}. What is prob of sequence hbzh?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(120)\/sqrt(2))\/(sqrt(144)\/sqrt(3)).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 9 + (-2)\/(-2). Suppose -6 = -2*y, v*y = l + 3*y - 23. Let d = -3 + l. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 15) + (-16 + (17 - 19) - -31).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + s + 157 = -0*s, -h + 2*s - 145 = 0. Let p = h + 1684\/11. What is the third biggest value in -3\/8, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 10*i**5 - 15*i**4 + 5*i**2 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127128113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - -9 - (7 - 6). Let g(i) = -2*i + 9. Determine g(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 6 + 9*i**2 + 2 + 6023*i - 6022*i. Calculate g(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2225476 is divided by 31343.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42 + 44)*(-1 - 5\/15)*3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53814 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 475*a**2*d**3 - a**2 - 196*a wrt d.\nAnswer: 1425*a**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 85*p**4 + 91*p**4 - p**2 + 2 + 2*p - 178*p**4 to the form l*p + u*p**2 + f + k*p**3 + q*p**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/2, 5, -0.07 in decreasing order.\nAnswer: 5, 4, 1\/2, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4\/5 + 662*g**3\/5 + 46562*g**2\/5 + 80682*g\/5 - 135828 = 0.\nAnswer: -231, -98, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u - 2*f = 34, 5*f - 14 = -4*u. Let w be 1\/(u\/8 + 29\/(-58)). Let j be ((-5)\/4)\/(2\/(-8)). Put -3, w, j in ascending order.\nAnswer: -3, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30840 = -61*x + 55*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57.000027 - -57. What is x rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**3 - 2*c**2 + 2*c + 1. Let y(i) = 3*i**3 + 3*i**2 - 3*i - 1. Let j(b) = 2*l(b) + 3*y(b). Let m be (6\/8)\/((-27)\/(-144)). Give j(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + ((-3)\/1)\/3*-1. Suppose b = -z + 5*z + 896, i*b - 3*z = 1817. List the prime factors of -14*2\/(-49) + b\/14.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 2)\/9 - 2\/(-6). Put g, -5, 197 in ascending order.\nAnswer: -5, g, 197","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 346, 1097, 2548, 4933?\nAnswer: 8486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-10))\/((-2)\/(-10)). Suppose -148 = -i*y + 34. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109380 divided by -5469?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.591090311 take away 36.86?\nAnswer: -34.268909689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 322*n - 9071. What is s(28)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -5\/623367 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -899, -787, -601, -341, -7, 401?\nAnswer: 883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50\/4*14716\/65. Let t = 28373\/10 - o. Let w = -16721\/3 + 100435\/18. What is the common denominator of t and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1010 and 20.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b**2. Let t(m) = m**3 + 3*m**2 - 4*m. Let r be t(-4). Let g(f) be the second derivative of -3*f + 1\/6*f**4 + r*f**2 + 0 + 0*f**3. Give l(g(z)).\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 19*o - 9*o + (1 - 2*o - 1)*(0 - 1 + 0))*(2*o - 1 + 1).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*s + 9, -5*q + 0*s = -2*s - 6. Let r be -1 - q - (10 - 17). Solve 4*b - r*b = -10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5 - 140*u**4 + 4504*u**3 + 85352*u**2 - 1673748*u - 1754460 = 0. Calculate u.\nAnswer: -45, -27, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 942 - 578. Suppose z = -3*z + q. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 3. Let h = -4 - b. Sort h, -1, 0 in increasing order.\nAnswer: h, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -1172 + 171. Let w = 97 - d. Is 19\/4 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -10*u + 8*u. Let i(t) = -10*t + 7. Calculate the remainder when i(u) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 144*l - 112*l - 123744. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15968192, 15968193, 15968192, 15968189?\nAnswer: 15968184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 17\/34*(-2)\/(-8)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*l + 28, 4*t - 3*l - 34 = -t. Let u = -3812 - -3813. Sort -10, t, u in decreasing order.\nAnswer: t, u, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*a - 7*a - 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2. Let q(f) = 2*f**2. Suppose 13 = 4*i + 33. What is i*d(w) + 9*q(w)?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(16 + -26) - (-1 + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1796859 and 954?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*n + 712 = 0, 106 + 69 = d - 2*n. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*j = -129*j + 49*j + 1260 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 486552 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 5*d - 200. Let u be q(9). Which is bigger: u or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24*3 + -6*((-10)\/(-6))\/(-5) + -12\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58179, 115966, 173753?\nAnswer: 231540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272481760.\nAnswer: 2, 5, 953, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2730 divided by 546.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208 + (-102 - -118) - -118.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3469, -3533, -3639, -3787, -3977, -4209, -4483?\n\"Answer: -21*z**2 - z - 3447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 915*o**7\/7 + o**4\/4 - 793*o**3\/3 - 255. What is the third derivative of y(q) wrt q?\nAnswer: 109800*q**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o + 2. What is x(4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1203625, -2407255, -3610899, -4814563, -6018253?\n\"Answer: -c**3 - c**2 - 1203620*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022935033.\nAnswer: 17, 53, 1135333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/120 and 41\/4320.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -19. Suppose 0 = g*h - 2*h - 24. Let c(t) = -t + 9. Let q be c(7). Solve 0 = -q*x + h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22756 + 22647 + (0 - 0).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -22) + (1 + -1 - -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 4*z + z. Let t(i) = -3*i + i**3 + 185 + 15*i**2 - 190 + 8*i. What is the units digit of t(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -405, -2 in decreasing order.\nAnswer: 4, -2, -5, -405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 2*h**2 - h)*(-1 + 1 + h) + 19*h**3 - 9*h**3 - 52*h**3.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91\/10 + -43\/5. Which is bigger: g or -66?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19367 divided by 34\nAnswer: 19367\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - 0.24. Let t = -1.8 + h. What is the biggest value in 0.5, -1\/7, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 80 = -3*s - 2*w, -123 = -5*s - 2*w. Let a = 100 + -3. What is the remainder when a is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27266775 (base 8) in base 4?\nAnswer: -113112313331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-5 + 1 + 2)*(0*j + 0*j + j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/17, -3, -2\/11, -2\/3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1727 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3012.0130041 less than -1.8?\nAnswer: 3010.2130041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + x + x**3 - 3*x)*(-2*x**2 + 2*x**2 - 2*x**2)*(23 - 27 - 31).\nAnswer: -70*x**5 - 140*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/15*-3)\/(1\/(-7)). Let u = 1 - 1. Which is greater: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36264 less than or equal to 36260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29925 and 532.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111)\/1665*24\/(-16)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -3*g**5\/10 + 11*g**3\/6 - g**2 + 25*g. What is the second derivative of a(n) wrt n?\nAnswer: -36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**4\/5 + 12504*i**3\/5 + 9645552*i**2\/5 - 198210584*i\/5 - 207843636\/5 = 0 for i.\nAnswer: -1573, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*25\/(-15) + 0. Suppose -18840000 = o*h - 7*h. Suppose -t + h = t. What is t rounded to the nearest one hundred thousand?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8253*k - 198067. Calculate o(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y - 2. Suppose -4 = y*l + 2*l. Is (-1*(86 + 3))\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 77 - 13. Calculate the common denominator of r\/50*350\/10 and -95\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 49839 and -5.\nAnswer: 49834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 14 - 3651*x**2 + 8 + 4 to the form n*x + j*x**2 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(228)*2 + sqrt(228))\/sqrt(12))**2 + sqrt(304) + -1 + (sqrt(152) + -2*sqrt(152) - sqrt(152))\/sqrt(8).\nAnswer: 2*sqrt(19) + 474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2281\/30 - 76. Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -186, -422, -762, -1212, -1778, -2466?\nAnswer: -3282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/3, 0.3, 2118, -2\/5, -9, -12\/31?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -75, -5 in ascending order.\nAnswer: -75, -43, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kskrskkrssr. What is prob of sequence rsr?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*z + 69*z = 48*z + 152 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 31*z - 16. Let i be f(-4). Let s = 82 - i. Does 37 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 less than -37.4871?\nAnswer: -28.4871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/36 + 3\/4. Solve u = -2 + 4, d = -5*p + 4*u + 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 86.9?\nAnswer: -43.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6677731 to the nearest integer?\nAnswer: 2584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/253? (a) 31 (b) 4\/5 (c) 0.1 (d) -7 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = -0*b + 2*b. Let h = b - 50. Suppose -74 = -2*f + h. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113595?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 6:29 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/6, -29, 0, -5, -3, 32319, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 53 and 2868684713035?\nAnswer: 2868684712982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275571 is divided by 68551?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyviibiiyiiiibipyyv. What is prob of sequence ipy?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 18.2. Let o = 0.18 + 7.82. Let m = o + j. What is the biggest value in -2\/15, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25662 and 3102.\nAnswer: 282282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120.9539 + -121. Let w = 1.9539 - n. Which is the second smallest value? (a) w (b) -0.5 (c) -11\/3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let a(q) = q + 14. Let h be a(-8). Let j(y) = -5*y. Let d(w) = h*t(w) + j(w). Let k(v) = -39*v - 48*v + 129*v - 25*v. Determine d(k(g)).\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000247121145 rounded to seven decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in 0.5, 0.4, 4, -140969, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*p - 2 = -4*r, 4*p = -5*r + 4. Suppose r = 3*g + 3*s, -4 = 5*g - 5*s - 34. What is the remainder when 7 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6 + 1 - 7*v - 3*v + 0*v. Let k(x) = -9*x - 4. Suppose -w - 16 = -5*w - 2*o, 3*w - 11 = -2*o. Determine w*k(f) - 4*q(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 316 - 106. Let a = g + 13. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 509*n = -68174866 + 186806987. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13672 and 251223?\nAnswer: 2009784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksek when four letters picked without replacement from {s: 3, k: 2, q: 3, e: 1, f: 4, x: 2}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*g - 5. Suppose 0 = -2*m + 3*j - 7, -3*m + 4 = g*j - 23. Suppose 91 = a + 4*a + m*w, 8 = 2*w. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24.9 + 15. Let z = -1.6 + 0.7. Let g = z - q. Which is smaller: 1\/4 or g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 5*m**2 + 470*m - 31. Calculate the lowest common multiple of 671 and g(24).\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (442\/(-26) - -8)\/(6\/16).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3259.5838 to the nearest ten.\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*y**4 - 29?\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6897 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 10712*h**2 - 10708*h**2 - 8*h**4 - 21*h**4 - 1 in the form r + b*h**3 + a*h + y*h**4 + c*h**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*i = -205*i + 172305 - 174265 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17)*1 - sqrt(17))*6 - sqrt(17)) + -2 - -5*sqrt(1088)*1.\nAnswer: -2 + 39*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8\/((x**8*x)\/x))**(-3\/7) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1801 + 1696 + 3556*x - 3497.\nAnswer: 3556*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 520 and 21608990?\nAnswer: 86435960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -3*y - 9, -6*c + c = y + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392b182 (base 12) to base 14.\nAnswer: 16d0b86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + l + 4. Let v = 9 - 6. Let j(r) = 7 - v - 3*r + r. What is j(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1309*a**2 + 1315*a**2 - 2636*a**2.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1063801 or -1063692?\nAnswer: -1063801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 3*a + 4. Let u be w(4). Solve 4*p = -3*s - 10, 2*p - 2*s - 2 = -u*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5, 0*x - 2*x + 4*u = 12. Suppose 6 + 10 = x*i. Suppose i*j = j + 60. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 13. Give h(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489785 is divided by 451.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -18*x**4\/13 - 17338*x**3\/13 - 5568066*x**2\/13 - 596607390*x\/13 - 132304644\/13 = 0?\nAnswer: -321, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 10500.18 months?\nAnswer: 875.015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1051.856 + -1047. Let f = 0.144 + r. Let u be (-3)\/(-2) + (-2)\/(-6). Which is the biggest value? (a) 2 (b) u (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3.8. Let i = q + 0.6. Sort -1\/6, 1\/2, i in descending order.\nAnswer: 1\/2, i, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*z**3 - 6*z**3 - 2*z**3 + (0*z**2 + 0*z**2 - 2*z**2)*(4*z - 2*z + 4*z)*(5 - 3 - 3).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.33 - 0.25. Let m = g + -0.08. Which is greater: m or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/6*(-2014)\/(-35245)*(-1)\/(-7).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**4 - 161*x**3 - 670*x**2 - 945*x - 405. Let a(p) = -2*p**4 + 80*p**3 + 336*p**2 + 472*p + 202. Let q(f) = -9*a(f) - 4*r(f). Solve q(n) = 0 for n.\nAnswer: -33, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000110111101 (base 2) in base 4?\nAnswer: -2012331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/3042*9)\/((-2)\/3).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 - 104*y**3 + 2*y**3 - 215*y**3 + (-2 + 1 + 3)*(-6*y**3 + 2*y**3 + 3*y**3).\nAnswer: -319*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328 = -5*v - 3*x, -18428*v + 18434*v + 404 = -x for v.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -1.597?\nAnswer: 2.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -4*h - 20. Suppose 7 = -3*s - 5*c, 3*c - h = -5*s - 22. Let v(z) = -3*z - 2. Let x(l) = 0*l + l + 64 - 64. Give s*x(a) - v(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 357 - 27 = 0. Calculate the highest common divisor of b and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3. Let q(a) = -4 + z*a - a**2 + 0 - 3*a - 4*a. Let b = 2 - 6. Determine q(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**5 - 4971*v**4 - 560955*v**3 - 5208669*v**2 - 9570042*v + 15344640 = 0.\nAnswer: -1536, -111, -6, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/127 at most -2268\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -18\/1771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 32*(-442)\/1088 + 964\/74\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 14*b - 15. Let j be f(-11). Let x = 14 - j. Does 0 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/5 (b) 0.4 (c) -98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h + 6556. Let g be z(-26). What is the greatest common divisor of g and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*o - 4, 3*s + 3 = -5*o - s. Let r(c) = 112*c. Let v be r(o). Suppose 7*a - 3*a = v. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 28 - 30 - 4) + 60?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 756 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 100747, 102077, 103407?\n\"Answer: 1330*a + 99417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 s when two letters picked without replacement from {s: 5, o: 14}.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 16. Let s = -488 - -490. What is the third biggest value in s, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1469*-1.51.\nAnswer: -0.221819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(350)*-2*6)\/(2*(sqrt(30)\/sqrt(3) + sqrt(10)) - sqrt(10)))\/((sqrt(2695) + sqrt(2695)*1)\/((sqrt(121)*1 + sqrt(121))\/sqrt(11))))**2.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 8*a**2 - 84*a - 2. Let s be k(-8). Let v = -354 - s. Let l(x) = -x - 25. Determine l(v).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -36*t + 756. Let z be v(21). Factor z - 12\/5*y - 4\/5*y**3 - 4\/5*y**4 + 4*y**2.\nAnswer: -4*y*(y - 1)**2*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502 = 2*v - 2*b, 5*v - 5*b - 1249 = -3*b. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -232653 by 4.\nAnswer: -232653\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 94547, 0, 5.\nAnswer: 0, 3, 5, 94547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3\/10 - 1717*b**2\/10 - 348008*b\/5 = 0 for b.\nAnswer: -1061, -656, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**5\/60 - q**4\/24 - 9*q**2. Solve u(n) = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**3\/3 - 3*z**2 + 4*z + 6. Let c(d) = d**2 - 6*d + 3. Let w(o) = 5*o + 1. Let r be w(1). Let j be c(r). Determine i(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(567) - (sqrt(28)\/sqrt(4) + -3))*6.\nAnswer: 12 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 22, -2, 2643, 0 in increasing order.\nAnswer: -2, 0, 1, 22, 2643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32 and 10188899.\nAnswer: 10188867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(52) - sqrt(52))*-4)\/(-2*sqrt(100) + sqrt(100)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71165 and 645?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*a + 2, -k - 1 = -3. Let p be (a - 0)*-1 + 14. Suppose -p - 4 = -4*s. Which is bigger: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -88 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103*t**3 - 112*t**3 - 5*t + 217*t**3 + 4*t - 2*t**4 + 51*t**2 to the form j*t + b*t**2 + q + o*t**4 + c*t**3 and give b.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 113714404 and 3222.\nAnswer: 1023429636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146881.8 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**2 - 1812*a + 273612 = 0?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p. Let m(s) be the second derivative of 0*s**2 + 0*s**3 + 0 + 44*s + 29\/12*s**4. Calculate m(o(l)).\nAnswer: 725*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + 2d?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4 = -3*q, 5*o - q + 8 = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1400) - sqrt(1400)*2)*6 - sqrt(1400))\/(-1*(sqrt(98)*4 + sqrt(98))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + -4 - (-4 - -1). Let i(l) = -l**3 - 6*l**2 + 3*l + 2. Let r be i(n). Let a = r + 549. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 33250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53773633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*h + 3*h = 0, 4*u + 15 = -h. Let v(q) = -169*q + 2. Is v(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + -1 - (-41 - -40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-956*q + 286*q + 313*q)*(-2 + 1 - 1)*(47 - 75 + 177).\nAnswer: 106386*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 20*l - 18*l - 15*l + 0 + 16*l in the form a + p*l and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + 5*z**2 + 2*z + 13*z**4 - 4*z**4 + 1 - 29*z**4 - 7 to i*z**3 + a*z**2 + l*z + v + o*z**4 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 943990218 to the power of 1\/3, to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-5))\/(q\/(q**(-4\/5)*q)))\/(q**(-2\/9)*q\/q**(1\/2))*(((q**0\/q)\/q)**(-26))**13 assuming q is positive.\nAnswer: q**(61283\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-92)\/5 + 4\/10. Let v = -499 - -481. Let j = v - h. Solve -s + 5*s = j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 149\/2 + (-1)\/(-2). Let u = 132 - 130. Suppose 4*q + 150 = 5*j - q, 0 = -u*q - 10. What is the highest common divisor of j and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10248 divided by -24255.\nAnswer: 488\/1155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 - 1. Let u be j(1). Suppose -12 = a - u*a. What is the least common multiple of a and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 15 = -0*l - k, 4*l - 10 = -2*k. Suppose 0 = -p + 4. Solve x = -p*u - l, -5*x + 17 + 8 = -5*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2. Suppose 52 = -3*m + 5*m. Let f(j) = -m*j + 4*j**2 + 26*j. What is f(c(o))?\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u - 7 - 9 + 10. What is the units digit of w(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 4, y: 7}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/2310 and 127\/6330.\nAnswer: 487410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6*u + w - 8 = 0, -2*u - 4 = -4*w. What is the derivative of -u + 32*j - 78 - 125 + 23 - 192*j wrt j?\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 - 5*g**2 - 2*g + 19. Give r(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 248557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 59 - 17 = -4*b, 3*x = 2*b + 42. Suppose x*f = -363 + 1243. Calculate the remainder when f is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(2 - (-6)\/(-4)). Solve 3*l - 12 = -n*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -78. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 9. Let k = 6 + -56\/9. Let z be -1*(-2)\/(-12)*-3. Sort v, k, z in decreasing order.\nAnswer: z, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -476\/1289 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/9 + (-104)\/(-12). Suppose -c - 11 = -b. Sort -11, -3, 1, c in increasing order.\nAnswer: -11, -3, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 10173164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1004 and 81\/46587106.\nAnswer: 93174212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7525717*s**2 + 599476*s + 2?\nAnswer: -15051434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8426.\nAnswer: 2, 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-476)\/(-8)*(-1420)\/(-70) is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 15*c**3 + 29*c**2 - 34*c + 4. Give f(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 - 80*u + 18. Suppose -12 = -3*i, 4*o + 9*i + 116 = 4*i. What are the prime factors of z(o)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {e: 3, x: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26989 + -26986.6437. Let j = -43.2803 + c. Let o = j - -41. Round o to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1944 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jorrjojo. What is prob of sequence rjj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6065 = 549*n - 2444 - 1373 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 19 - 147. What is the remainder when 94 is divided by y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33515 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 428027730 rounded to the nearest 100000?\nAnswer: 428000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 21. Let h be ((-5)\/(-2))\/(19\/38). Let u = l - h. 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 u = 416 - 416.1. Let d = -10 - -10.3. What is the biggest value in 1\/8, u, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-3)\/(-3) - 0. Let t(i) = -4 - 2*i + v + 1. Let u(z) = -z. Give u(t(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4. Suppose -q - 4*q + 129935 = a. Suppose 7*c = 56613 + q. What is c rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 9*v**2 + 9*v + 3.\nAnswer: 3*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -6. Which is the closest to 0.1? (a) 0 (b) 0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 87*d + 875. What is b(-12)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 818320?\nAnswer: 818320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 161455 (base 12) in base 11?\nAnswer: 237230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/u**4)\/u)**14\/((u**8\/u*u)\/(u**(-16)\/u)) assuming u is positive.\nAnswer: u**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 197660 - 984917\/5. Let c = 677 - z. Put c, -2, 40, 5 in ascending order.\nAnswer: -2, c, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**3 - 13*k**2 + 13*k - 3. Determine b(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g, -5*g = -3*o - g + 174. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9000 and 52500?\nAnswer: 315000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, b: 5}. What is prob of picking 2 r?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, -40, 2\/15 in decreasing order.\nAnswer: 2\/15, 0, -0.3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/18)\/((-1)\/(27\/(-6))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 1:54 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 4:51 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 14, p: 5}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1572.1 - -1572. Which is smaller: -68\/35 or c?\nAnswer: -68\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 31, 0.09, -1\/2.\nAnswer: -2, -1\/2, 0.09, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145341 = 2600*t - 174459 for t.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266510 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (35\/25)\/((-2)\/(-10)). Let t = -4 + d. Let y(p) = -4*p - 2*p + t*p. Let h(f) = 2*f. Determine y(h(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**4 - 796*y**3 - 21448*y**2 + 3485680*y - 19975200 = 0. Calculate y.\nAnswer: -70, 6, 58, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) + 0 - sqrt(130)\/sqrt(90).\nAnswer: 26*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 9100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2217*v**2 - 9465*v**2 - 25019*v**2.\nAnswer: -36701*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.059, -214873, 4, -2, 1?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6 - 4)*(5*l - 5*l + 2*l**3 - 2*l**3 - 2*l**3 + 2*l**3 + (l + 3*l - 3*l)*(-l**2 + l**2 + l**2) + l**3 + l**3 - 4*l**3).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(-17*t**4 + 52 + 14*t**4 - 59).\nAnswer: 9*t**4 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/((-3)\/(-30)). Calculate the remainder when 50 is divided by (3 + p)*1 - -19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41132 divided by -1183\nAnswer: 452\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 19 - 1. Suppose t*j - 2*j - 125 = -3*u, 4*u - 3*j - 125 = 0. Suppose y = -3*l + 5*y + u, l = -5*y - 1. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26480 divided by 2648.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeccceeyeest. Give prob of picking 1 t and 1 e.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g + 0*g - 3*g + 8 - 5*g. Let n be y(-8). Suppose 0 = 6*b - 3*b + 4*a - 8, 0 = 5*b + 2*a - n. Calculate the greatest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -49. Let p = 0 + n. What is the remainder when 186 is divided by p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -273 + 253 + 0 + -4 - (0 - 0).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpzp when four letters picked without replacement from qxqpqpqxxrzqqzrpxx?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 8:09 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(21\/120)*-18*(-37)\/(-1665)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -135. Let c = o + 72.0000088. What is c rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.498 * 0.0489.\nAnswer: 0.0732522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.87973064 rounded to two dps?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-1))\/(40\/(-140)). Let d = i + -4. Find c, given that -8\/11*c**4 - 54\/11*c**2 - 16\/11*c + 8\/11 - 38\/11*c**d = 0.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/(-4))\/(2\/8). Let w = p + 11. Suppose h = 5 - w. Calculate the smallest common multiple of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbibbbibninibbi. What is prob of sequence bbin?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3549?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 405*r + 763. Is 187 a factor of j(135)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -313\/8 - -343\/24. What is the common denominator of p and -86\/105?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 10:56 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 2, 0 in increasing order.\nAnswer: -76, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -7610.295 to the nearest one hundred.\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.18 + 8. Which is the closest to w? (a) 2\/11 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, 0.02, -0.9, 0.5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 17*r - 14. Determine o(15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*j + 2, 3*j - 3*t - 5 - 16 = 0. Let d(g) = 99*g - 40. What are the prime factors of d(j)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 3:24 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1043*r - 66751. What is n(64)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8010, -1, -4 in ascending order.\nAnswer: -4, -1, 8010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 444\/32 + -12 + (-23)\/(-56). Which is the nearest to -2? (a) r (b) 1\/3 (c) 4 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4784, 9504, 14224?\nAnswer: 18944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -6. Suppose -12 = -5*j + c. Let o(y) = -2*y - 7. Let w be o(-6). Solve j = w*p + 23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 + 20 = -7*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*i - 2. Let a be i\/(-2)*-410*1. Suppose 2*t - c + a = 6*t, 53 = t + 2*c. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2740727390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52958 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -372*a*c**2*p**2 + 29*a*c*p**2*w + 2*a*p**2 + 4*c**2*p**2*w - c - 22*p**2*w wrt c.\nAnswer: -744*a*p**2 + 8*p**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 r when four letters picked without replacement from {r: 7, h: 5}.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*x + 6*x + 32*x**4 - x**3 - 35*x**4 + x**2 to the form z*x**3 + r*x**2 + k*x**4 + v*x + c and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 6:47 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-4))\/(1190\/(-340))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -19. Let r be -10 + 11 - (c - 141). Suppose 0 = p - 4*a - r, 2*p + 2*a = 4*p - 290. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70123 divided by 74\nAnswer: -70123\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 10:59 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27204320 and 820.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, o: 3, g: 1}. What is prob of sequence oog?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 683 divided by 144927\nAnswer: 683\/144927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -11*u - 377 + 377. Let g(s) = -7*s. Give q(g(a)).\nAnswer: 77*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9462? (a) 2\/43 (b) 2 (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-26) - (1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2760*n**2*p**5 - 4*n**2*p**2 + 40*n**2*p - 4*n**2 wrt p.\nAnswer: 165600*n**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -0.21, -2\/7, 1\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -707 + 812. Let k = -5 - -3. What is the remainder when u is divided by 3\/((-19)\/(-9) + k)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 5 = 2*y. Let u = y - -30. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556834441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484839.\nAnswer: 3, 17957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 8:53 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -16.3. Let l = x - -0.6. Let g be 1 + (-1 + 1 - 0). Which is the nearest to l? (a) 4 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s\/s**(-5\/3)))\/(s*s**(-3\/7)))\/(s**(2\/9)*s)**(-21))**(-4\/3) assuming s is positive.\nAnswer: s**(-628\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -27*t + 106. Is u(-21) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 198?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(q - 21*q + q).\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -p - 0*p. Let g = 2 + p. Let d(t) = 5*t**2 - 4*t + 1. Let k(a) = -4*a**2 + 3*a - 1. What is g*k(q) + 2*d(q)?\nAnswer: -2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/30827 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 1:54 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 896 and 42?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2. Suppose l = -l. Let c = -1 + 3. Let n(v) = v**2 - 4*v**c + l*v**2. Determine x(n(a)).\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2411.020173 + -1046.\nAnswer: 1365.020173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**2*s**4 - 50*m**2*s**2 + 11682*m*s**6 + 2*m*s**2 + 15*m*s wrt s?\nAnswer: -24*m**2*s + 1401840*m*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i - i**3 + 2*i)*(1 - 2*i - 1) + (-11*i**3 + 3*i**3 + 3*i**3)*(-5*i + i + 2*i) as x*i**4 + h*i**2 + y*i**3 + j*i + v and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -44.7. Let k = -1.4 + l. Let p = k - 0.6. Which is the third smallest value? (a) 5 (b) p (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 62. Let p = s - -33.7. Let o = -8 - p. Which is the third biggest value? (a) 3 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -255, 2, -28, -2 in increasing order.\nAnswer: -255, -28, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*h**2 + 996*h**2 + 777*h**2 + 393*h**2.\nAnswer: 2329*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*m**5 + 1375279*m**4 - 9565*m + 604?\nAnswer: -120*m**3 + 16503348*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 22 - (11 + 6)) + 21?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j. Let q(a) = -3*a. Let h(o) = 6*o. Let b(r) = 3*h(r) + 5*q(r). What is b(g(n))?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2. Let h(g) be the first derivative of g**3\/3 + 5. Determine h(w(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v**2 + 10*v + 10. Let f(z) = -20*z**2 - 29*z - 29. Let r(b) = 6*f(b) + 17*n(b). Let p be r(-3). Is 5 a factor of ((-6)\/(-18))\/(p\/(-39))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/7200 and 64\/119391?\nAnswer: 286538400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 355?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4 = 2*j. Let r(l) = l - 1. Let c be r(6). Sort c, -1, j in ascending order.\nAnswer: j, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 8534712?\nAnswer: 59742984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14033*v**2 - 5 + 6 + 54*v**3 + 14030*v**2 - 3 to d + o*v + a*v**3 + w*v**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.39 - -18619939872\nAnswer: 18619939871.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 6*m + 12. Let d be r(-3). Solve -5*u - 4*o + d = -2, 0 = -u + 3*o - 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 7*y**2 + 6*y - 6. Calculate i(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 5. Suppose -5 = -3*g + 4*g, 0 = 3*k + 3*g + 45. Let b be 6\/k*h\/(-6). What is the nearest to -1 in 1\/7, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35940.\nAnswer: 2, 3, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -7\/6*t**3 + 2\/5*t**5 + 0 + 0*t**2 + 0*t**4 + 3*t. What is the second derivative of h(m) wrt m?\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**2 - 25*m - 13. Let i be u(6). Suppose 2*x = -w + 39, 2*x + 2*x = -3*w + 117. Let y = 124 - w. Calculate the greatest common divisor of y and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-834)\/1112)\/((-2)\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 120 = -4*j, 3*n + 3*j = 24 + 51. Suppose 4 + 0 = -z, s + 16 = -5*z. Solve 0 = -a - s*a - n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y. Let j(n) = 3*n. Let b(z) = 7*c(z) - 6*j(z). Let r(k) = 2*k**2 - 11. Calculate b(r(p)).\nAnswer: 6*p**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*n**3 - 19*n**3 + n - 2*n + 43*n**3.\nAnswer: -2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-162)*(-48)\/180*-9)\/((-18)\/(-1377))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2873, 2874, 2875?\n\"Answer: n + 2872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/81*(70\/(-200))\/(-7)?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**3\/3 - 3*c**2 - c - 1. Suppose -l - 4 = 3*b + 38, 3*b - 66 = 3*l. Let v be 9\/6 - l\/6. Give q(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2793 = d + 2*f + 874, 0 = 2*d - 5*f - 3847. Let w = -1008 + d. Round w to the nearest ten.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 2)\/(8\/(-32)). Suppose 2*u - 9*s + l*s + 6 = 0, 3*u - s - 4 = 0. Solve -6*d + u = -7*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 5*b = 0, -5*y + 2*b = 0. Suppose y = -8*j + 1430 - 262. What are the prime factors of j?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 508*d**4 + 308*d**2 wrt d.\nAnswer: 12192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82212 by 41106.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 - -2) - 2\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 24*h**3 - 25*h**3 - 6 as c + s*h**3 + n*h**2 + o*h and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 5:29 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + (-4 - 2) + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 62\/49?\nAnswer: 62\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1234 + 8.\nAnswer: 7.8766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1232901170 - -1232901176.99999933. Let y = n + -7. Round y to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -8227915?\nAnswer: 57\/8227915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.84 + -4.84. Let b be 1*-2*2\/6. What is the nearest to 0 in v, b, 3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39, 40, 41?\n\"Answer: y + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -445150.10037 + 445198.1. Let n = 48 - p. What is n rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110037.8521 + -110044. Round k to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*x**2 + 9 + 17 - 41 + 5*x**2 + 6 to y*x**2 + p*x + h and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 66*i**3 - 731*i**2 - 8694*i.\nAnswer: -i*(i - 46)*(i - 27)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 a when three letters picked without replacement from zzzzzzza.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3*j + 10*j - 4*j)*(-2*j - 4*j - j) in the form s*j + y + d*j**2 and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1015616 + 511?\nAnswer: -1015105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20 = -0*j. Let x be 3 + 8 + -15 + (-1 - -30). Suppose -11 = -2*a + 3. Solve j*i = x, -25 = r - a*i + 2*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 586, 922?\nAnswer: 1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 310, 2748, 8936, 20614, 39522, 67400, 105988, 157026?\nAnswer: 222254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 173 - 63. Calculate the greatest common factor of 22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -11*t**3 - t**2 + 1. Determine d(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(55)\/sqrt(5) - sqrt(121)\/(sqrt(11) - -2*sqrt(11)))*5 + ((sqrt(704) + -1 + sqrt(704) - sqrt(704) - (sqrt(11) + 0 + -1)) + 1)**2.\nAnswer: 52*sqrt(11)\/3 + 565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126947 - 22330 = 22*o - 98333. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741276684 to the power of 1\/4, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -3242047553280.\nAnswer: -3242047553280.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from {s: 5, i: 5, y: 2}?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 51 - 195. Let x = 52 - y. What is the remainder when 56 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -392*l**2 - 195*l - 53*l**2 + 35*l**2 wrt l?\nAnswer: -820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 516\/(-72) - 7\/(-42)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 129.\nAnswer: 4\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 + 1302*x**2 - 3885*x**2 - 29 + (x**2 + x - x)*(-2 - 2 + 5) + 2 - 2 - 2*x**2 in the form h*x + p*x**2 + t and give p.\nAnswer: -2584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -11*h**3 - h**2 + 2. Let s be r(-1). Suppose -s*o + 9*o = -327. List the prime factors of o.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 4*h + 3*t, 3*h + 3*t - 48 = -2*t. Suppose 46 = -19*x + h*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10100000001000000111100?\nAnswer: -10100000001000000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -753475 + -0.062\nAnswer: -753475.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -46 and 74941.\nAnswer: 74895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 160 = o + 3*v, -2*o + 5*v + 245 = 0. Let u = -130 + o. Factor 0 + 2\/9*y**u - 4\/3*y**3 - 16\/9*y**2 + 0*y**4 - 2\/3*y.\nAnswer: 2*y*(y - 3)*(y + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1510677)\/(-66) + (-109)\/2398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*4\/20 - (0 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a**2 + 6*a**2 + 47*a**3 + 0*a**2 + 2*a + 60*a**3 to l + h*a + g*a**2 + n*a**3 and give n.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -13*w. Let z be (-27)\/(-324) - (-9)\/(-108). Let k(i) be the second derivative of 10*i - 1\/6*i**3 + z*i**2 + 0. Determine k(r(g)).\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -37\/6?\nAnswer: -37\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-21)*t**2\/(t**0*t)*((t\/t**(-5))\/t)\/(t\/t**(-4\/5))*t*(t*(t*t\/(t\/(t*t**1)))\/t)\/t*t\/t**3*t assuming t is positive.\nAnswer: t**(136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 + 337 = 5*o. What is the remainder when o is divided by (31 - -7)\/(-3 - -5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455124681 to the power of 1\/3, to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 0. Let w be (-69)\/i - 6\/21. Solve -y + w*y = -10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9485 and 15995.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1612 = 1577*s - 23620 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 6*k**2 + 2*k + 17. What is o(-7)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 82351493\nAnswer: -82351491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13ca - -4?\nAnswer: 13ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 8:40 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 12*m + 4. What is q(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 9*j + 5. Suppose 4*h - 33 = w, 2*h - 5*w = 47 - 8. Let u be m(h). Let v = u + 20. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 254.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1117*y**2 + 497*y**2 + 217*y**2 - 2287*y**2 + 1829*y - 215*y**2 wrt y?\nAnswer: -5810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 4*a - 16 = 0, -11*a + 7*a = -3*y + 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 48257276+43.54335\nAnswer: 48257319.54335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbbn when four letters picked without replacement from jnebbn?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 10 - (-16 - -29 - 4). What is the greatest common divisor of 9194 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/24*-10*33\/(-55).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13149 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 27. Let c be q(5). Let a = c + -1. Suppose o - a = -0*o. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 29 = 43. Suppose 5*v = v + t. Suppose -3*j + 18 = -l - 8, 3*j = -2*l + 29. What is the smallest common multiple of j and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -8*d**4 - 3*d**3 + 5*d**2 - 3. Let z(x) = 15*x**4 + 5*x**3 - 9*x**2 + 5. Let i(o) = -5*a(o) - 3*z(o). What is the third derivative of i(q) wrt q?\nAnswer: -120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d + 6. Is 6 a factor of r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l = -216 + 291 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15255*p**2 - 7631*p**2 - 7619*p**2 + 14*p**3.\nAnswer: 14*p**3 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 273467087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -7) + -2 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 159? (a) 5 (b) 4 (c) -233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-28 - -11)) + -28.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 16*s**2 - 2*s - 2. Let k be t(-2). Suppose 0*d + 4 = d. Suppose k = d*l - 5*c - 3, 2*c = -5*l + 45. Calculate the remainder when 32 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3113.\nAnswer: 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 3. Let g(b) = -b**2 + 6*b + 5. Let q be g(6). Let r(k) = 2*k**2 - 5. Let u(n) = q*f(n) - 3*r(n). Let v(j) = -j. What is v(u(x))?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 39 = -0*y + 3*m, -3*y + 38 = 4*m. Suppose 2*s + 0*g - g - 6 = 0, -g = 4*s - y. What is the remainder when s is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -2*b + 62. Suppose -b = -3*r - 0*r. Suppose 4*g - r = 3*u, -2*g + 35 = 5*u - 0*u. What is the smallest common multiple of 5 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -2*i**2 - 7*i - 1\/20*i**5 - 5\/12*i**4 + 1\/6*i**3 + 0. Give m(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3112*c - 3109*c - 5*l + 5, -4 = -14*c - 4*l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428804 + 2*j + 428804.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141299, 282515, 423727, 564935, 706139, 847339?\nAnswer: 988535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12369127 a multiple of 783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -20*c**3 - 11*c**2 + 7*c**3 - 13*c + 11 + 6*c**3 + 8*c**3. Calculate q(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -15. Let r be (-5 + 5 + -4)\/(4\/(-80)). Let w = c + r. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 11*p**2 - 4. What is u(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**29)**(-11)\/(j*j\/(j*j*j**22))**(3\/2) assuming j is positive.\nAnswer: j**(-286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*f = -10214, 5*v + 2*f + 1472 = 27067. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-450)\/59085*(-546)\/(-210)?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8106 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, d: 9}. Give prob of sequence bd.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + -9.2. Let p = 10 + j. Let q be 2\/(-72) - 4\/18. What is the nearest to q in 4, p, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30195, 60424, 90691, 120996, 151339, 181720, 212139?\nAnswer: 242596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*a - 92*a = -15920. What are the prime factors of a?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**6\/1980 - v**5\/110 - v**3\/2 - 2*v**2 + 24. Let o(z) be the first derivative of t(z). Find u, given that o(u) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 21*t**2 + 18*t - 25. Give k(20).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 1\/15*i**5 - 3*i**2 + 0 + 0*i**3 - 1\/8*i**4 + 0*i. Find the second derivative of s(n) wrt n.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 377, 407, 479, 611, 821?\n\"Answer: 3*g**3 + 3*g**2 + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52536428*r**6 - 143069915*r**2?\nAnswer: 6304371360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 90.93328mm?\nAnswer: 9.093328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 0*u = 8*u. Solve h + u - 5 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -16*r - 3. Let n(x) = 220*x**2 + 220*x**2 - 413*x**2. What is n(b(t))?\nAnswer: 6912*t**2 + 2592*t + 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*m + 106*m = -b - 7, 8 = -5*b - 4*m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 227*w**2 + 5*w - 3. What is the remainder when f(1) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1898 by 940.\nAnswer: 949\/470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d. Let u(p) = 2*p**2 - 26*p - 20. Suppose -2*m - 12 = -14. Let b(g) = m*u(g) + 5*x(g). Determine s, given that b(s) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from ggw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 21. Suppose -10 = -w*f - 2*f. Let g be 64\/11 + f\/11. Solve -2*r + r = 4*k - 2, 4*k = -3*r + g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4906\/(-110) + -2*(-2)\/(-10). Let s be -3 + (-2620)\/q + 6\/(-27). Do s and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, n: 1, z: 1, r: 2, d: 1, y: 2}. What is prob of sequence rd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -235 + 3527\/15. Is j at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from deqvvedvvdqpdeqdedf?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2377 is divided by 1156?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 977 + -969. Solve 108 - 68 = -j*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56988\/20579)\/(3\/(-26))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/8))**(31\/5)*(v**(-2\/5)*v)**(-2) assuming v is positive.\nAnswer: v**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**5\/270 + l**4\/108 + 12*l**2. Factor g(h).\nAnswer: -2*h*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5662653 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from {n: 3, p: 3, r: 2, z: 1, e: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from hpppphhs?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/8197204 and 91\/4098602.\nAnswer: 8197204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39552 is divided by 341?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 5 = -21*z. Suppose -5*p + 1257 = -c, -2*p + p - z*c = -241. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**4 + 8*m**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -512 (base 7) to base 10.\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 266816262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 2 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/6)*z*z)**(-25) assuming z is positive.\nAnswer: z**(-425\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**10\/m)\/m))\/m*m**(-18)\/m)\/(m**(-11))**(-3\/13) assuming m is positive.\nAnswer: m**(-384\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 381930 and 2784?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmlm when four letters picked without replacement from jglmmmg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 470415 and 6021312.\nAnswer: 30106560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*-58.9659.\nAnswer: -1945.8747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56\/671 - -6\/61. Let w = -0.14 + 0.04. Which is the closest to 0? (a) w (b) u (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8056693425 by 3.\nAnswer: -2685564475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-19*h**3 + 3*h**3 + 5*h**3) + (-4*h**2 + 9*h**2 + 2*h**2)*(0 + 0 + 3*h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 4:31 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2. Let v = 4 + 3. Let c(x) = -v*x + 12*x - 4*x + 2*x + 5*x. What is c(o(k))?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/(0 + 24\/9). Let n(i) = -i**2 - 40. Let w be n(0). Let k be (-5)\/(-20) + (-6)\/w. Which is the closest to -1? (a) k (b) -1\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-14)\/(s\/(s*s**(-1\/6))*s) assuming s is positive.\nAnswer: s**(-91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 4\/5 (b) -6\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4815 - 1393 = 193*h - 5456 for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldkrblbblklkkr. What is prob of sequence brr?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1546 + -1545. What is the closest to o in -3, -5, -4, -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299365.6t in grams?\nAnswer: 299365600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/(-14)*834)\/((-6)\/21)?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7278 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.7854147 to two decimal places.\nAnswer: -25.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-295)\/(-236) + (-50)\/8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 52 = 34. List the prime factors of w.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 3*t**2 + 4*t**2)*((-2 + t + 2)*(0 - 2 + 1) - 12*t - 11*t + 5*t - 13 - 2 + 2 - 2*t)*(2*t + 2 - 2).\nAnswer: -42*t**4 - 26*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 10 = -3*h, 2*h + 2*h + 5*i = -45 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -89389.216 to the nearest ten.\nAnswer: -89390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 4. Let u be p + -649 - (-1 - -2). What is the common denominator of 41\/10 and u\/48*(-18)\/(-21)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -143*j + 144*j - 2. Let k be ((-6)\/(-9))\/j - (-70)\/15. Solve k*a - 6 = 7*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v. Let d(s) be the first derivative of -1\/3*s**3 + 0*s + 4 + 0*s**2. Calculate d(k(z)).\nAnswer: -49*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 201 + -153. Suppose 25*y = 37*y - f. Solve -c = -4*a - 3, c + y*a + a + 15 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/70*10\/(-7))\/((-54)\/(-6993))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -36*o - 28. Calculate f(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 + 397931*m\/4 + 1193811\/2.\nAnswer: -(m - 397937)*(m + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1041)\/1735*(168\/(-4) + 2)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + d + 2*d + d - d + (-3 + 0 + 4)*(d - 3*d + 3*d) + d + 0*d + 0*d + 0*d + 0*d + d + (3*d + 0*d + 3*d)*(1 + 5 - 5).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/11 + 3358192*h\/11 - 20149224\/11 = 0. What is h?\nAnswer: -1679102, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/78 and -68\/9?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*a = -98 - 22, -4*l + 4*a + 240 = 0. What is the highest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/2, -4, -5\/7, -312?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1031 divide 671827200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l**5\/l)\/l)*l))\/l)\/l**(-2)*(l*(l*l*l**(-3)*l*l)\/l*l)**(-15) assuming l is positive.\nAnswer: l**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + 1. Let z = x + -0.1. Let k = 3.4 + 0.6. What is the nearest to z in k, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 195 = 10*z. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-two ninths of a week?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.54810008 to four dps.\nAnswer: 0.5481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5063*g**5*p - 56835*g**2*p**3 + 10*g*p**3 - 105585*g*p + 85*g wrt g?\nAnswer: 101260*g**3*p - 113670*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*i**2 + 18*i**2 + 2 - 3 - 68*i**2 to z*i + b*i**2 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4913305um to centimeters.\nAnswer: 0.00004913305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4, -3*b + 2*p + 36 = b. Let k(g) = 11 - g + 14*g - 12*g. Let y be k(-5). Solve -f = -y*f - b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 2*t**2 + 9*t + 1. Let w be l(4). Suppose -4*u + w = -3*q + 2*q, 2*q = 3*u. Solve 3*s = i + 8, 0 = -0*i - q*i + s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2855, 5687, 8519?\nAnswer: 11351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a - 10. Let h be r(8). Let x = 12 - h. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30594*t - 24320*t - 1456*t - 1743*t.\nAnswer: -58113*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 89 and 12.\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -1, -4, -87, 22 in descending order.\nAnswer: 22, 2, -1, -3, -4, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((45\/(-10))\/(66\/(-8)))\/(22\/11)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.7 (c) -0.4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 3279. Let d(h) = -5*h - 16384. Determine -2*d(g) - 11*n(g).\nAnswer: -g - 3301","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, a: 2, c: 9, z: 1}. Give prob of picking 1 x and 1 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 2*j - 8. Let g be r(-5). Let q be (9 + -2)*7\/g. Sort q, 5, -5, -3 in increasing order.\nAnswer: -5, -3, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/2 - 2\/4. Let o be ((-52)\/(-90) - 1) + (-141)\/(-705). Which is the closest to -0.1? (a) 0.4 (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 776022 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2*(27 + -3). Suppose y + 4*m = m + u, 2*y + 2*m = 64. Calculate the greatest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -0.2. Let q be (20 - 118\/6)*(-1)\/(-2)*1. Which is the nearest to -0.1? (a) q (b) 5\/8 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3023492nm in millimeters?\nAnswer: 0.0000003023492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 + 5*l + 2. Let i(y) = 11*y**2 - 26*y - 13. Let p(d) = -12*d**2 + 28*d + 15. Let z(n) = -4*i(n) - 3*p(n). Determine 9*w(a) - 2*z(a).\nAnswer: -2*a**2 + 5*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -220 - -280. Calculate the highest common factor of 45 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 0*n**2 - 25*n**2.\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 9*a + 77. What is m(16)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 2*z - 6*z + 16, -5 = 5*z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, u: 7, z: 2}. What is prob of picking 1 u and 2 m?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -38, -57, -76?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -a4363 (base 15) to base 5\nAnswer: -113124033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (12 + 4)) + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -2*r**3 - 2705. Let q(d) = 2*d**2 - 346. Calculate a(q(s)).\nAnswer: -24*s**4 + 8304*s**2 - 718296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9089*i**4 - 27 - 40*i - 11740*i**4 + 8*i**3 - 7*i**3 wrt i?\nAnswer: -31812*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 26 = -3*g, 5*g - 64 = -k - 70. Let w = 3 + 0. Solve -k*a - w*a + 14 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaaazzazazza?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 2*n**3 - 2*n**5 - 88*n**5 - 47*n**5 - 69*n**5 + 4*n**5 - 3*n**5 - 2*n**5 + (-2*n + n + 2*n)*(-4*n**4 - 3*n**4 + 5*n**4).\nAnswer: -209*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*n + 6*n**4 + 24*n)*(-2*n - 3 + 3)*(-2 + 1 + 0).\nAnswer: 12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-5))\/(4\/(-10)). Let o = 18 + -28. Let v = 26 + o. Which is the smallest value? (a) 4 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1246)\/89 - 2850\/(-204)\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (3\/(-5))\/(-3). Suppose 0 = 4*q + 5*x - 24 + 1, -5*q + 13 = x. Is q at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(3)*1) + (sqrt(85)\/(sqrt(5) + (sqrt(5) - sqrt(45))))**2.\nAnswer: sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -5 - 0 - (7 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*l**5 + 72*l**4\/5 + 3*l**3\/5 - 2*l**2\/5 = 0. What is l?\nAnswer: -1\/3, 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 231 - 230.778. Let b = q + -4.182. Let d = -0.04 + b. What is the second biggest value in 3, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kclmkcclcllkrlc. Give prob of picking 2 c, 1 k, and 1 r.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -19*a - 6. Does 4 divide y(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**3 - 104*a**2 - 29*a - 1. Let i(c) = -6*c**3 + 156*c**2 + 43*c + 2. Let z(b) = -5*i(b) - 8*v(b). Find the second derivative of z(x) wrt x.\nAnswer: -12*x + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6176.17099 rounded to the nearest 10?\nAnswer: -6180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:12 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15931538 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 2086210650*n - 217613743808671125.\nAnswer: -5*(n + 208621065)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/(-1368)*-16*(-3)\/(-14)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2597 divided by 3?\nAnswer: -2597\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**5 + 140*z**4 - 1452*z**3 + 5316*z**2 + 8. Let l(p) = -p**5 - p**4 + p**2 - 1. Let g(m) = -d(m) - 8*l(m). What is i in g(i) = 0?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 21*u + 21. What is the remainder when 80 is divided by t(-20)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) 2 (c) 1\/27 (d) -4 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.833 rounded to 1 dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 + 107. Suppose 0 = i*z + q + 247, 4*z - 3*z - 3*q = -89. Let m = z + 97. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81\/260 + 4\/65. What is the closest to 1 in 5, -1\/5, 3, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 e, and 1 b when three letters picked without replacement from {e: 2, b: 1, f: 2, q: 5, a: 2, d: 1}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**3\/r)\/r*r*r\/r**0)\/((r\/r**(-2\/9))\/r*r**(1\/2)) assuming r is positive.\nAnswer: r**(59\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13923967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53853190?\nAnswer: 2, 5, 5385319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**13*l*l\/l**(1\/5)*l**(12\/5)\/l*l\/(l\/(l*l*l*l**1)) assuming l is positive.\nAnswer: l**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-26250)*105*(-10)\/(-218)\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 - 3358*o - 40280\/3.\nAnswer: -(o + 4)*(o + 10070)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 + d - 4. Let n(z) = -5*z**2 + 5. Let q(x) = 3*n(x) + 4*r(x). List the prime factors of q(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3396 or -3398?\nAnswer: -3398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from {h: 5, p: 1, t: 1, j: 5}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511071363.\nAnswer: 3, 11, 31, 18503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-11)\/(-9)) + 520\/234. Solve 8 + 2 = -2*z, -4*j + 6 = -n*z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4446 = -4526*m + 4807*m - 16810 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(63) + sqrt(7) + sqrt(224)\/sqrt(8).\nAnswer: -1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 3*h = 3*x + 14, 0 = -5*x + 10. Let k(s) = 3*s**2 + 14*s - 8. Let v be k(h). What is the tens digit of v + (0 - 4\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -6096, 48 in decreasing order.\nAnswer: 48, -0.4, -6096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 - 2*h**3 - 2*h**3 - 3*h**3 - 10*h + 10*h + (2 - h - 2)*(h**2 + 3*h**2 - 2*h**2) + 2*h - 2*h - 5*h**3 as z + y*h**2 + a*h**3 + j*h and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -b. Let t(k) = k**2 - 32*k + 90. Let q be t(29). Solve -i = q*s - 2, -3*s + 2*i = -i + b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 - 2)*(3*n - 6*n + 36*n) - 9 + 5*n + 9 + (-6*n + 0*n - n)*(4 - 3 - 2) - 3*n + 0*n + 2*n to the form u + r*n and give r.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -441?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 4. Let b be l(-14). Let z be (12\/b)\/((-24)\/(-60)). Put -4, 4, 2, z in descending order.\nAnswer: 4, 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmm. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 5:01 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2208736 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: What is 0.0000021159 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-259150*m + 67 + 259160*m - 180)*(3 - 2 - 2).\nAnswer: -10*m + 113","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 10:50 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 768\/(-1280)*(-10)\/(-6) - (-44)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-55))\/((-5148)\/468).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -14, 18498.\nAnswer: -14, -2, 18498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106 + -105.8. Which is greater: -0.38 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 189*s**2 - 2 + 11 + 359*s**2 in the form t*s + y*s**2 + g and give y.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610454 to the power of 1\/2, to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 65*q**2 - 1021. Let b(z) = 4*z. What is v(b(o))?\nAnswer: 1040*o**2 - 1021","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 4*f**2 - 5*f - 4. Let c be l(-2). Let o be 15*(-1 - -2 - c). Which is greater: 44 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b**2 - 2*b. Let f be p(2). Let r = 50 + f. Solve 0 = 3*v - r - 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 132 = 7*d. Let j = 54 + d. Solve -j = -3*b - 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + (-1 + sqrt(3328))*4 + -1*(sqrt(52) - (-2*sqrt(624) - sqrt(624))\/sqrt(12))*1)**2.\nAnswer: 224*sqrt(13) + 40772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/8))**2)**(-3\/4) assuming g is positive.\nAnswer: g**(3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -4307195, -1.\nAnswer: -4307195, -57, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9096*g**2 + 3714?\nAnswer: 18192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - 0. Let g be (-3)\/((-30)\/4) - 580\/700. Which is the closest to -2? (a) -0.2 (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 72*j**2 + 324*j + 336.\nAnswer: -3*(j - 28)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 5. Let p = -23 - -15. Let a be p\/2*(-2)\/4. Suppose -5*g + a*g = 0. What is k(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/8 - 12*d.\nAnswer: d*(d - 96)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12934023*j**3 + 6196863*j**2 + j?\nAnswer: -77604138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 4*g + 90. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2916)*-1)\/sqrt(12).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 + -22. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 25 = -2*k. Suppose k = 5*a, 3*a + 13897 = 3*b - 7100. Round b to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 328925246?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(-2*d**5 - d**5 + d**5) + ((136 - 78 + 112)*(1 + 0 + 4) + 3 + 3 - 4)*(5*d**2 + 2*d**5 - 5*d**2).\nAnswer: 1702*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 25. Let i be k(21). Is 22316\/8 + 2\/i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42679 - -42679. Let h = -2 - -3. Let q = 6 - h. Put -4, q, p in decreasing order.\nAnswer: q, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -18. Find the second derivative of 22*z - 13*z - x*z**2 - 11*z wrt z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -28*h - 76. Let a be y(-15). Let g = -40 + a. Calculate the highest common divisor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/10 (b) 45 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -30*h + 251. Let a(t) = -15*t + 103. Determine -7*a(l) + 3*y(l).\nAnswer: 15*l + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -218701432 rounded to the nearest ten thousand?\nAnswer: -218700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence liic when four letters picked without replacement from lcxxigtgitxittgtgg?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddrprjpfffjdrrrrrr. Give prob of sequence dpd.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2796 + 1077. Let r = y - 1502. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 9 = -9. Let s = 22 - -7. Solve 5*l + 4*y + s = 0, 4*l = 6*l - y + w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 14\/661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*j + 23, 3*j + 2*c - 25 = -41. Let n(s) = s**2 + 1. Let b(w) = 3*w**2 + 2*w + 6. What is j*n(k) + b(k)?\nAnswer: -3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4291716503 + 0.4?\nAnswer: 4291716503.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 49.472. Let i = 0.279 - y. What is i rounded to 2 decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11129, 10960, 10791?\n\"Answer: -169*w + 11298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f = 32 - 120 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 0, -219, 3, -9 in descending order.\nAnswer: 3, 2, 0, -2, -9, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 376501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -648.\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 364480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -37*i**3 + i**2 - 6*i + 4. Let g be h(2). What is g rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 83680320.\nAnswer: 251040960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 >= -146\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**6\/600 - 13*n**5\/300 + 7*n**4\/24 + 49*n**3\/30 - 3*n**2 - 2*n. Let x(q) = 0. What is q?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*o**3 + 5*o**3 - 2*o**3)*(-o + 1 - 1) + (-11 - 28*o**3 + 11)*(-4*o + 0*o + 2*o) to the form r + t*o**4 + u*o + g*o**2 + l*o**3 and give t.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2468 - 2465. Solve c = 5*s + 13, -36*c = -s - 33*c + z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) 0.5 (c) 2\/9 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1561, 3211, 4861, 6511, 8161, 9811?\n\"Answer: 1650*l - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 = 3*c. Let n(q) = -q**3 + 5*q**2 - 2*q + 6. Let a(v) = -11*v + 107. What is the remainder when a(6) is divided by n(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/3 and (-1146640)\/1918224 - (-4)\/7.\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -17. Calculate the remainder when 131 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 42048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.2288ng to micrograms.\nAnswer: 0.0242288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33300 - -1?\nAnswer: 33301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118536, 110465, 102394, 94323, 86252, 78181?\nAnswer: 70110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.21, -8.\nAnswer: -8, -3, -0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -227*n - 18*n - 210*n to the form a + y*n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35752 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 840 and 222856386245?\nAnswer: 222856385405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.029 and 1281.\nAnswer: 1281.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 + 7)*(-148)\/8. Let m = l - 35. Suppose -2996144 - 9883856 = -m*z. What is z rounded to the nearest one hundred thousand?\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -775820, -3103258, -6982314, -12412982, -19395256, -27929130?\nAnswer: -38014598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-60)\/9))\/(189\/112)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**2 + j**2 - 3*j**2)*(-2 + 2*j**2 + 2) - 2 + 2 - 2*j**4 + 191*j**2 - 191*j**2 - 1205*j**4 to z*j**2 + f*j**3 + q*j**4 + k*j + y and give q.\nAnswer: -1211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/3 + 22*d**2\/3 + 64*d\/3 + 56\/3 = 0. Calculate d.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3244 - 3241. What is the closest to 8\/5 in 0.4, 5, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23214 > 23197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39786136 and 552.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1630*b + 403*b + 405*b + 409*b + 407*b - 24. What is a(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 2*n**2 + 3*n + 3. Let j(q) = -2*q**3 + 5*q**2 + 8*q + 9. Give 3*j(k) - 8*u(k).\nAnswer: 2*k**3 - k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-10))\/(2024\/115 - 18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1) + -1 - (-63)\/(-57).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/4 + 1898079*o**2 - 15184668*o + 30369360.\nAnswer: 3*(o - 4)**2*(o + 2530780)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3541, -2\/7, 0.2, -6\/11, -3\/439, -5, 2?\nAnswer: 3541","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28 + (-8 - (7 + -5)). Solve o = -2*b + 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 5)\/1 + 4\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 45, -404, 5 in decreasing order.\nAnswer: 45, 5, 3, 2, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 460226 and 4020.313.\nAnswer: 464246.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - -0.1. Let v = -20.58 + -64.12. Let s = v + 85. Put -3\/4, c, s in ascending order.\nAnswer: -3\/4, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*w + 104, 3*w = 2*n + 3*n - 170. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.97657 decades to months.\nAnswer: 11037.1884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 431 + 810. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90522487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -21*p**2 + 1\/2*p**5 - 63\/2*p - 27\/2 + 5\/2*p**4 - p**3 = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3112 + -13?\nAnswer: 3077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 7:07 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9805*d + 3469*d = 7853*d + 1220254 for d.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13 + 2 + -3)\/(20 + -22). What is the greatest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 530, 2002, 4422, 7790, 12106, 17370, 23582?\nAnswer: 30742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/481508 and -26\/7?\nAnswer: 3370556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1300 is divided by 337?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10b - -9a?\nAnswer: 1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2\/3 + 4\/3*g**3 + 1\/3*g**5 + 2\/3*g**2 - 5\/3*g - 4\/3*g**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4397130 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-30))\/(((-24)\/80)\/(162\/(-15))). What is the biggest value in -1\/4, 26, p?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5314 - 2223?\nAnswer: -11541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-360)\/21*105\/(-5). Let x = -155 + q. What are the prime factors of x?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 8*i**3 - 4*i + 2. Let j be p(1). Suppose -j*l - 846 = -12*l. What are the prime factors of l?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/99 - 17780\/(-660). What is the greatest common factor of 36 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.017, 328, 2\/3?\nAnswer: 328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1453077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**21*w)\/w*w**(-2\/63)*(w*w\/w**(2\/5)*w)**(-1\/32) assuming w is positive.\nAnswer: w**(210541\/10080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 510793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q - 5. Let b be c(-1). Sort -1, 1, 0, b in decreasing order.\nAnswer: 1, 0, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -15, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(875) - -1*sqrt(875) - sqrt(875))\/(-2*sqrt(252) - sqrt(252)).\nAnswer: -5*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.482 + -0.44. Let n = 0.02 + a. Let j = n - -1.588. What is j rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 3*b - b)*(-1 + 7 - 2)*(-7*b + 7*b - 2*b**2)*(-219 + 461 + 11*b - 185).\nAnswer: -88*b**4 - 456*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001501274 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210102000011 (base 3) to base 16.\nAnswer: -66df6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7682, -7689, -7688, -7673, -7638, -7577?\nAnswer: -7484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*d**2 - d**2 - 608*d**2 + 1 + 181*d**2 + 171*d**2 + 152*d**2.\nAnswer: 78*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*p + 1392 + 844 = 0, -5*r = -4*p - 2782. Is 62 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231809 is divided by 76050.\nAnswer: 3659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 107586.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-2) - (-3)\/(-2). Solve l*b - 2 = -3*m + 13, -5*b + 25 = -2*m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26598? (a) 2 (b) -65\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5217 - -14850. Suppose 2*g = g + t + z, 5*t = -5*g + 100315. Suppose 0 = 4*n + g + 159935. Round n to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/976 and 79\/39284?\nAnswer: 157136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -53. Suppose -3*w - 5 = -11. Suppose 5*a - 317 = -f, a + w*f = 106 - p. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(120))\/sqrt(4))\/(sqrt(294) - (3*sqrt(294) + sqrt(294))).\nAnswer: 2*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7664 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 993700 and 36100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.031 to 1 decimal place.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16306642 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/18*(-9)\/10. Is m >= -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 20. Let n = w + -2. What is the greatest common factor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 50, -2.\nAnswer: -11, -2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 7*t + 89. Suppose -13*k - 15 = -12*k. What is the remainder when h(k) is divided by 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -697.\nAnswer: 1\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 22, 36, 52, 70, 90?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6659009 centuries to years.\nAnswer: 66.59009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 38. Suppose -17 - 24 = -4*u + 5*m, -u + 14 = -y*m. Suppose 0 = 4*v - u*w - 12632, 3*v - 8*v = -4*w - 15795. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-13)\/(c*c*(c*c*c\/(c*c**(-1\/6)))\/c))\/((c\/((c**(-20)\/c*c*c)\/c))\/(c*c\/c**(-2\/9))) assuming c is positive.\nAnswer: c**(-629\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p - p**2 + 3*p**2 + p**2 + 3*p**2 - p**3 + 3*p**2. What is q(10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.9919 to the nearest integer.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2587*n + 56992 = -144794 for n.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1338.81321 - 1.63321. Let o = -1337.349982 + x. Let a = 0.17 + o. What is a rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 6*z = h - 1903770, -h = -3*z + 1142254. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 184\/706131?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2*l - 12, -z + l = -l - 9. Is 11002\/14 - z\/(-21) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u - 11 + 11 + (0 + 0 - 2 + 4*u)*(-2 + 0 - 2).\nAnswer: -18*u + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*z - 5*p, -18*z - 2*p + 8 = -17*z. Suppose 4*d + 5 + 3 = 0. Let v be d\/4*-2 + 2. Solve -z*o - v*o = -10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 474667666?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50196360 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 761555816 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 13 - 9. Solve u - j = -3*h, -2*h - 4*u - 1 = -u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 20*l + 198 = 0. Calculate the common denominator of -31\/14 and (l\/12)\/((-12)\/10).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 3:31 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbmddtbdtddtojt. Give prob of sequence bm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 102. What are the prime factors of s?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104065 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + 4\/(-6)*-15. Suppose -4*v = -x - 1. Solve 4 = -v*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35408 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, 30\/31, -64\/5, -2\/3, 2\/7, -1.4?\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 151689.8g?\nAnswer: 151689800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16117339.88 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-503*z + 11*z**2 + 503*z)*(5*z**3 - 3*z**3 - 18*z**3).\nAnswer: -176*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2009 and 1382479.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 21. Suppose q = -q + f. Which is smaller: 12 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*x - 2213 = -18*x + 707 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3907 + x - 3907. Let m(n) = 39*n**2. What is l(m(i))?\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f. Let v(n) = 6*n + 7. Let q(t) = -5*l(t) - v(t). Let m(u) be the first derivative of -u**2 - 7*u - 78. Let d(c) = 3*m(c) - 4*q(c). What is d(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9917*f**3 - 3 - 20 - 9191*f**3.\nAnswer: 726*f**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((36 - 44) + -6 + 18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (1 - -3)) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4))**(6\/17)*i**(-5)*i**(9\/4) assuming i is positive.\nAnswer: i**(-283\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.56 to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132886 and 1359526?\nAnswer: 17673838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187 and 1804.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 - i**3 - 2*i**2 + (-2 + 5 - 1 + (28 - 17 - 25)*(-1 + 0 - 2))*(0*i - 2*i + 4*i)*(3 - 3 + 2*i**2).\nAnswer: 175*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 3 + 3. Let u be ((-12)\/(-40))\/(-1) - 3\/15. What is the second smallest value in u, 5, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -9*l**5 + 1092*l**4 - 19341*l**3 + 8838*l**2 + 533040*l - 684000 = 0.\nAnswer: -5, 4\/3, 6, 19, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 14) to base 15.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 9*z**2 - 10*z - 6. Let g be y(11). Let k = g - 62. Let j be (k\/56)\/((-2)\/(-7)). Let u(t) = -t**2 + 6*t - 4. Calculate u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 11:00 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53378 is divided by 200.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1023*d**2 + 6*d - 16?\nAnswer: 2046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 + -54 + 5 + 63?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o*o**1))*o*o)**(-11\/4)*(o**0*o*o)\/(o**(-9)*o))\/(o**(-1\/2)*o**(-6)*o*o*(o**0)**(3\/10)) assuming o is positive.\nAnswer: o**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.12 and 368.\nAnswer: 368.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 119599877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + 411?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4935190 rounded to the nearest 10000?\nAnswer: -4940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*p - 0*c + c, -p + 18 = -3*c. Suppose 5*y = z - 19, 0 = p*z - 3*y - 18 - 3. Let t(b) = 2*b - 2. What is the units digit of t(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 18*f - 54 = 0. Suppose 4*l - c = 4 + 1, 5*l = -3*c + 19. Let q(j) = -f + 4 + 5*j**3 + l - j. Calculate q(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1559 - -929. Let t = f + 629.9999591. Round t to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 5*b + 12, -b + 0*b = 4*w - 9. Sort -0.4, 0.4, w in descending order.\nAnswer: w, 0.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72382741 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2*28\/3*-6. Let j = -39 - -67. Calculate the greatest common divisor of k and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -1, -50, -5 in descending order.\nAnswer: 5, 3, -1, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46.5603199 - 46.56. What is k rounded to five decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(m**2 + 2 - 2)*(-8*m**2 + 44*m**2 + 32*m**2).\nAnswer: 136*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 8:56 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 28*y**2 - 24*y + 82. Let q be g(-27). Sort q, -30, 4 in descending order.\nAnswer: 4, q, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38205535 to the nearest integer?\nAnswer: 6181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 219*b - 450.\nAnswer: 3*(b - 75)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(77\/(-105) + (-1)\/(-3)). Let x = 57 + r. Sort 2, 7, x in decreasing order.\nAnswer: 7, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i + 3*i + 0*i - 10*i. Let a(b) = 2*b**2 + 10. Determine z(a(s)).\nAnswer: -4*s**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 12 - 28 = 0. Let c = 0.4 + -0.2. Let q = c - -0.3. Put k, q, -0.5 in decreasing order.\nAnswer: k, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 12:51 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*n + 6*n, 2*w - 3*n = 1609. Does 31 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -1101211303?\nAnswer: 1101211310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2492756 and -75\/26.\nAnswer: 32405828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2264 divided by -1132.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 973660 and 291004.\nAnswer: 129496780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + y - 2*y**3)*(3*y - 3*y - y) + 4136*y**4 - 25*y**3 - 1215*y**4 + 23*y**3 to j + b*y**2 + d*y + i*y**3 + q*y**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 4*i)*(3 + 0 - 2 + (4 - 2 + 0)*(3 - 3 + 1) + 0 + 0 - 1 - 1 + 2 + 1 - 4 + 1 + 4)*(15 + 5*i**2 - 15).\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5687463 and 90.\nAnswer: -5687373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 161*v**3\/6 - 260*v. Let s(l) = 19*l**2. Calculate s(j(y)).\nAnswer: 492499*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 48*l - 530907. What is n(753)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(99)*6)\/sqrt(9) + (-4 + 4 + 0 + sqrt(11))**2 + (sqrt(539)*1 + -3 + -6*(sqrt(539) + 1 + sqrt(539) - sqrt(539)))**2 + 3.\nAnswer: 618*sqrt(11) + 13570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u**3\/2 - 7*u**2 - 7*u\/2 + 3 = 0. Calculate u.\nAnswer: -2\/3, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 112*f - 23 = 110*f, 4*r = f - 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1221 + -433. Let d = 316 + c. Let g = d - -908. What is g rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 4*n**2 - n**2 + (-1 - 2*n + 1)*(1 - 1 - 2*n))*(13*n**3 - 2*n**3 + 15*n**3).\nAnswer: 156*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 169, -54, -623, -1646, -3231?\nAnswer: -5486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-6))\/(98\/(-1764)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 1485*d**2 + 2*d + 1018*d**2 - 5*d.\nAnswer: -467*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, z: 10, w: 3}. What is prob of sequence wwsw?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320221 - -11?\nAnswer: 320232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**2\/7 - 57*h\/7 + 270\/7 = 0?\nAnswer: 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {r: 2, l: 2, e: 1, x: 7, k: 2, t: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -0.1 (b) 1 (c) -3\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, h: 3, w: 9}. What is prob of sequence xx?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -389, -776, -1163, -1550?\n\"Answer: -387*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 19351305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-80) + 119110\/(-147920)?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10, p: 4, k: 4, x: 1}. What is prob of picking 2 p, 1 k, and 1 u?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 3\/63892162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 49\/4 of a meter?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -82*r**2 - 104*r - 28. Let a(y) = 83*y**2 + 139*y + 28. Give -3*a(x) - 4*d(x).\nAnswer: 79*x**2 - x + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174709.\nAnswer: 17, 43, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24.82 + -25. Let c = h - -0.08. Is 4 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 653 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 22 + 1 = 0. Suppose g*d + 3*l = 6411, -4*l + 2*l = 5*d - 10694. Round d to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -56?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(-12)*f)\/f)\/f**(-3))**(-15)\/(f*f*f*f*f**6*f*f**13*f)**(-16\/3) assuming f is positive.\nAnswer: f**(760\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = 4*x - 2*i, 0 = -0*x - 3*x + 5*i + 186. Let d = x - 90. Let j = d - -40. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvdvdeaevvvmv. Give prob of picking 1 a and 2 d.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -7*g**6\/60 + 23*g**4\/12 - 78*g**2. Find the second derivative of k(c) wrt c.\nAnswer: -84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.90486 millilitres to litres.\nAnswer: 0.05890486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*v + 6, -10*v + 6*v = -5*z + 2. Solve 0 = -2*a - 6*u + 4*u - 4, -5*u - 10 = z*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 194 = -1898. Which is bigger: -851\/3 or r?\nAnswer: -851\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/150)\/((-36)\/40)*(-30)\/(-50)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10934199.\nAnswer: 3, 67, 18133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -646457625 + 6.\nAnswer: -646457619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 - 3 - 55*u**2 - 4 + u.\nAnswer: -55*u**2 + u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11885792 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8*l + 42 = 6*l, -3*q + 27 = -3*l. Is 23 a factor of (6\/q)\/(-1) + 3683\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7174065 or -7174058?\nAnswer: -7174058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8202600?\nAnswer: 2, 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 3*z - 112*z + 100*z. Let g(b) be the first derivative of -2*b**3\/3 - 2. Give l(g(p)).\nAnswer: 4*p**4 + 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 6:35 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 38 - 157 + 10 - 2*x.\nAnswer: x - 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + w + 0)*(0 - 4 + 2) - 2*w + 0 + 0 + 3 - 3 + 2*w + 2*w + 0*w - 4*w)*(-3*w**2 + 4*w**2 + 3*w**2).\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 762 = 2*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 - (3 + -1 + 17 + -11 + (-43 - -25))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*x + b, 6 = 5*x - 45*b + 42*b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 475554397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 21734*m + 86923. Determine w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -39*w - 215, 464*i = 2*w + 467*i - 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -10*j - j. Suppose j*w - 16*w = 18. What is the units digit of (41132\/(-24))\/(-13) - w\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x**3\/3 + 202*x**2\/3 + 434*x\/3 + 74 = 0 for x.\nAnswer: -1, 111\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*c + 53. Let l be 23\/5 + 3 + 65\/(-25). Suppose l*r = r + c. Solve r*x + 20 = 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61568158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-264)\/(-297) - (-89)\/(-90). Which is the nearest to 2\/5? (a) -2\/3 (b) -2\/35 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/((d**(-10)*d)\/d)))*d**(2\/3)*d)\/(((d*d*d**(1\/6)*d)\/d)\/((d\/(d**(-7)*d*d))\/d)) assuming d is positive.\nAnswer: d**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/50*(-195)\/(-1677).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018731 rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 + -12212?\nAnswer: -12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -100101002220 (base 3) to base 12\nAnswer: -8a943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x*x**(2\/9)*x*x)\/x))*x*(x*x**8)\/x)**(-4\/25)*((x*x\/(x\/(x**(-2)*x)))**14)**(4\/19) assuming x is positive.\nAnswer: x**(-404\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**3 + 443*a**2 + 132*a + 383. Let x be s(-63). Solve -y - 18 = x*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -a - 5*p, -5*a - 4*p - 48 + 73 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 17*u. Let i(l) be the first derivative of l**3\/3 - 2*l - 4. Let w(h) be the first derivative of i(h). What is v(w(o))?\nAnswer: 34*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 8*u**2 + 23. Calculate z(7).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.46*-1.\nAnswer: -1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (295440\/(-418540))\/((-11)\/34*4)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**5 - 33*p**4 + 75*p**3 - 39*p**2.\nAnswer: -3*p**2*(p - 1)**2*(p + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**7\/336 - 7*w**6\/720 - w**5\/30 - 16*w**2. Let g(j) be the third derivative of o(j). List the prime factors of g(6).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 41, 0.3, -2\/15, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:45 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 1, k: 10, o: 3, b: 2, d: 2}. Give prob of picking 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -718 (base 14) to base 7.\nAnswer: -4031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 51937, 103947, 156035, 208201, 260445?\n\"Answer: 39*p**2 + 51893*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 236872477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 + 2*z. Let k(t) = -764*t**3 - 5*t - 11. Let c(s) = k(s) - 3*x(s). Find the second derivative of c(f) wrt f.\nAnswer: -4548*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 7*v**2 + 19*v - 7. Let k be d(9). Let r = -6 - -1. What is the fourth biggest value in r, 0.2, 0, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2700 and 28\/127629?\nAnswer: 12762900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/(3\/24). Suppose -3*q + 2 = -q - 3*j, -2*q - 2*j + 12 = 0. Let r(h) = -h**3 + 6*h**2 + h - 6. Let z be r(6). Solve z = q*t - k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -4) + (-5)\/15*-21.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.1, 26, 2\/56643?\nAnswer: 2\/56643","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1862?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3740*f**3 + 4354*f**2 - 602*f - 12 = 0.\nAnswer: -3\/170, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/13, 1, 5\/17, -3, 3.\nAnswer: -3, 5\/17, 1, 16\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1275393 to the nearest 1000.\nAnswer: 1275000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -107*p. Let q(y) = -588*y. Let k(r) = 5*q(r) - 28*w(r). Let a(b) = 5*b. What is -32*a(z) + 3*k(z)?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -583*n**4 - 4*n**2 + 16 + 222*n**5 + 583*n**4 + 210*n**5 - 102*n**5 wrt n?\nAnswer: 19800*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 0.0304106044?\nAnswer: 0.9695893956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11456 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211010121 (base 3) to base 6.\nAnswer: -202411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2032?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-23)\/(-15)) + 2\/10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyiygriicggywccriryi. What is prob of sequence wi?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40920 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*a + 20 = 44*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44335 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*m + 4. Let v be 2\/(3*m\/12). Factor 5\/2*w**3 + 0 + v*w**2 - 3\/2*w**4 - 2*w.\nAnswer: -w*(w - 2)*(w + 1)*(3*w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -18900.295?\nAnswer: 3780.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 7*t**2 + 7*t + 6. Does 11 divide a(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, w: 5, e: 4}. What is prob of picking 2 e and 2 w?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 5:55 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24e + 3d65?\nAnswer: 3fb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 72*y - 3 - 144*y + (4 - 1 - 4)*(3 - 2*y - 3) in the form g*y + d and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -40520?\nAnswer: 40514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*j + 2*t, t + t = 2*j + 14. Let s = 23 - 18. Put 0, s, j in decreasing order.\nAnswer: s, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/561 + (-1701)\/(-77).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*(sqrt(9)\/sqrt(3))**2 - (((sqrt(24)\/sqrt(2))\/sqrt(4))**2 + -5).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411?\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (4 + (7 - (-38)\/(-6)))*336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 53*w - 6. Give f(4).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 7*r - 8. Let k be z(-4). Suppose -2*q + 119 = l, 0*l = 3*l + k*q - 365. What are the prime factors of l?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -271 + 261 - (1 + 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 6*y - 9\/2*y**2 + y**3 - 2. What is j in f(j) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-74623.\nAnswer: -37311.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*-6*(sqrt(2) + 1)*-4.\nAnswer: -96*sqrt(2) - 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3632335531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*k + 5*k. Let z(x) = -x + k*x - 4*x. Let y(b) = -3*b**2. What is z(y(a))?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2033\/55 + 411\/11. What is the fourth biggest value in 0, 1\/3, -2\/7, -2\/5, t?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 + 1 - 3 - 2705*i + 2701*i - i**4 - i**3 as x + u*i**4 + a*i**3 + f*i + b*i**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a = -9. Factor 1 - 8*x**5 + x**2 - 4*x - 2*x**4 - x**3 + x**4 + 11*x**3 - a*x**4.\nAnswer: -(x + 1)**2*(2*x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**2 + 4*g. Let y(m) = -2*m**2 + 2*m. Let d(b) = 3*b**2 - b**2 - 4*b - b**2. Let u be d(3). Give u*c(l) + 5*y(l).\nAnswer: 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 18. Let h(d) = 26*d**3 + d**2 - 2*d + 1. What are the prime factors of h(w)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*l - 18 - 54, 5*l + 3*c + 101 = 0. Let m = -15 - l. Let k(q) = 24*q + 254. What is the lowest common multiple of m and k(-10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 1\/6 (c) -4\/7 (d) 5.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/2)\/(1\/(-5)). What is the units digit of 104*(13\/2 - a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - 34c6?\nAnswer: -34ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15285 divided by -13.\nAnswer: -15285\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1746690637?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.23 - -1.84. Let l = 7.61 - k. What is the second biggest value in -2, l, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38192 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*h - 8 - 1, 0 = -2*j - 6. Let k = 458 + -454. Solve -12 = -k*s - h*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95885633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/(7*2\/966). Let q be (-3)\/(-3 + 4) + z\/7. Which is the third smallest value? (a) 0.5 (b) 4 (c) 0.1 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288097 and 3084?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 625600*n + 10009600. Determine b(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -z**3 - 55*z**2 + z - 319?\nAnswer: -6*z - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -1881*m**2 - 264*m + 132. Let p(u) = -71*u**2 - 10*u + 5. What is 5*c(j) - 132*p(j)?\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -2)*33\/(-66). Solve y = 2*s + 16 - 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -168.3, 8, -0.4, -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3375 - 134. Let s = i - 804. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/7 - 541*m - 108982\/7.\nAnswer: -(m + 29)*(m + 3758)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 3*d**2 - 2. Let i be h(2). Which is the third smallest value? (a) 3\/2 (b) 0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*595.299.\nAnswer: 1785.897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 4*w - 8*j + 81, 778 = j + 771 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2546 divided by -2.\nAnswer: -1273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 45*r - 21. Let c(x) = 23*x - 11. Let f(u) = 9*c(u) - 4*t(u). Let n be f(-6). Let y = -38 - n. Is 24 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-53)\/55 - (-31395)\/23023. Factor 126\/5 + 66\/5*g - r*g**3 + 2\/5*g**2.\nAnswer: -2*(g - 7)*(g + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164681*r = 164696*r - 225 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**5\/20 - p**4\/4 + 5*p**2\/2 + 25. Let l(u) be the second derivative of i(u). Find r such that l(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 - 2*j - 4*j**2 - 2*j**3 - 3*j**2 + (2*j - j + 0*j)*(42*j**2 + 660 - 660 + 3*j) to the form m + x*j**2 + y*j**3 + q*j and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -29*l + 205. Give n(40).\nAnswer: -955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*((-3 - 1 + 6)*(-3*s**4 - 2*s**4 + 3*s**4) - 2*s**3 - 2*s**4 + 2*s**3).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 109?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -136, -23, 166, 431, 772, 1189, 1682?\n\"Answer: 38*a**2 - a - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 2*w - 1, 3*z - 160*w = -166*w + 18 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 39 = -4*l + 3*r, 2*l = 2*r + 2. Suppose 5*a - 19 = 4*q, 2*a - 21*q = -18*q + l. Calculate the greatest common divisor of 469 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 1\/3, 0.13, 0.21, 0.3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2245 is divided by 178?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213, 1837, 3443, 5025, 6577, 8093?\nAnswer: 9567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0662 and -0.6.\nAnswer: 0.03972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1 - -47)*(11 - (-2910)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1018*w. Let y(u) = 2*u**2. Give z(y(t)).\nAnswer: -2036*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11879445 is divided by 383205?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -455, -457, -459?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-5) - 6\/30. Suppose -v - 3*k = 6, 4*v - w*v + 14 = -2*k. What is the second derivative of -7*c + v*c + 5*c - 5*c**2 wrt c?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 894 and 2874?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 401177178 divided by -5.\nAnswer: -401177178\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 715b - 3?\nAnswer: 7158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36976 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(9\/3))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57680200 divided by -121432.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5928 divide 935741901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9408 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3 - 3 + 3 + 4*f. Let n(i) = i + 1. Let a = 3 - 1. Give a*n(t) - b(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4574.204 rounded to the nearest 10?\nAnswer: 4570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w = -71*w + 10920. Suppose -2*a = t + 1, 5*a + 4 = 2*t - 12. Suppose -w = -t*i - i. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 180 + 2?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -857 divided by -4?\nAnswer: 857\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1 (c) 0.292 (d) -0.6 (e) 0 (f) 3\/7 (g) 13\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1957569000 to the nearest 1000000.\nAnswer: 1958000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89*s**3*v**3 + 2*s**3 - 4*s**2 + 299*s + 13*v**4 with respect to v.\nAnswer: 267*s**3*v**2 + 52*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 9:39 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15907220.\nAnswer: 2, 5, 7, 113623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c**5\/7 + 398*c**4\/7 + 4484*c**3\/7 - 11546*c**2\/7 + 1144*c - 1352\/7 = 0. Calculate c.\nAnswer: -26, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*z = -2, -2 = -j - 2*j - 2*z. Suppose -2 = 5*c + 8, 0 = j*n + 4*c - 14180. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.09 and 43?\nAnswer: 46.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**5 - 26*r**4 + 113*r**3 + 4459*r**2 + 2.\nAnswer: -120*r**2 - 624*r + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/46 - (-12948)\/276. Suppose -3*m = -l - 85. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*((-14)\/(-12) + 9\/27). Suppose u*v + 4*w + 310 = 10*v, 3*w + 9 = 0. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 0.12, -0.4, 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34422041 + -20?\nAnswer: 34422021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by -50.\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + y + 13, f + 2*y = y + 15. Let s be (-6)\/(-21) - (-38)\/f. Suppose 2*j + 650 = 7*j - s*h, 0 = -j + h + 132. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 214.7 + -215. Put 4, -0.8, h in decreasing order.\nAnswer: 4, h, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6)*t**(-1)*(t*t**(-1\/3))**(-17) assuming t is positive.\nAnswer: t**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.9076 and -30.\nAnswer: -87.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28.1 and -4.\nAnswer: 112.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9824*v**2*z**3 - 3*v**2*z - 2*v**2 + 2*v*z**2 - 72*z**2 wrt z?\nAnswer: -58944*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004495888 to six decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39c3de (base 15) to base 13.\nAnswer: -7621bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 453707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a + 2*a - a)*(-26522*a + 70145*a - 135 + 135) to f*a + r + h*a**2 and give h.\nAnswer: -87246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 14226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 434253557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 6*t - 25, -4*x + 2*t = -6186. Suppose 0 = -4*i + c + x, 0 = -3*i + 6*i + 2*c - 1147. Does 35 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8))\/(((2618\/(-33))\/17)\/4)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -5, -1 in descending order.\nAnswer: 60, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 31\/2. Which is the third smallest value? (a) 18 (b) -2\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 + -766. Let l = i - -677. Solve l*d + 48 = 42 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 218 and 443194.\nAnswer: 443194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 + 605?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 5*u - 10, -6 = -800*u + 797*u - 4*b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 2) to base 5.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 552172 + 167*f**3 - 552172.\nAnswer: 167*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 135410184507\nAnswer: 135410184507.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 8. What is n(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23755891?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 2964*j + 8888. What is z(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z + 8*z = -3*f + 17, 6*f - 5*z - 55 = 11*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 9*d**3 + 116*d**2 - 17*d + 8. What is s(-13)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2716192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 55 + 63 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 31*l**2 + 31*l**2 - 101*l**2 + 38*l**2. Let f(a) = -3*a**2. Calculate r(f(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, s: 4, x: 1, w: 7, l: 1}. Give prob of sequence wxl.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1123\/34 + -33. Let u = 75\/238 - k. Do u and -31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 - 48. Suppose 0 = -z - r - 10, 3*r = -z - x + 2. Let c be ((-96)\/42)\/8 - 46\/z. Solve c*v + 12 = 0, 3*v - v = -4*i - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 7.55\nAnswer: -37.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 111, -9, -5\/2, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001455465 rounded to 6 dps?\nAnswer: 0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -161\/2. Let w = -0.19 + -0.11. Which is the nearest to 0? (a) w (b) n (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - -973086?\nAnswer: 973086.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27789612 divided by 2?\nAnswer: 13894806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*8\/(-80)*-1*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/763 - 86249\/7630. What is the common denominator of 5\/138 and y?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-10)*(-1045)\/2166*-38.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.8*-1.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 422. Let c = 367 - q. Is -40 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 44*l**2. Suppose 4*k = 6*g - 2*g + 44, 5*k + g - 43 = 0. Let a(r) = -15 + 15 + 12*r - k*r. Calculate a(p(x)).\nAnswer: 132*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h**3 + 4*h**2 - h. Let s(d) = 15*d**3 + 9*d**2 - 2*d. Let f(z) = 4*s(z) - 9*v(z). Calculate f(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -31. Let y = 171 + -169. Suppose 4*q - p = 24, 4*q - 2*q - y = -2*p. Which is the fourth biggest value? (a) q (b) m (c) 0.1 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 2001212?\nAnswer: 2001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 959 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144049\/32 - -4500. Calculate the common denominator of 79\/64 and j.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 8, -5*u + 25*m = 21*m - 273. Let t be 30*(-2 - (-14)\/4). Suppose n - t = -4*n. Calculate the remainder when u is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 1 - 1)*(4*q**3 - 2*q**3 + q**3) + (-q**4 + 0*q**4 + 3*q**4)*(-6*q + 3*q - 2*q).\nAnswer: -7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 + z + 5. Suppose 6*a = a + m + 5, -5*a - 4*m = -30. Let b(u) = -u**2 + 4. Let y be (-12)\/42 - 19\/7. What is a*w(s) + y*b(s)?\nAnswer: -s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581*y = 584*y + 24 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 15, -1, -29, -5 in increasing order.\nAnswer: -29, -5, -1, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i + 7757 = -305*i + 1137 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*m - 154, f = -3*f - 8. Let o = m + 118. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(220) + 4*sqrt(220)\/sqrt(4))\/(sqrt(77)\/(-2*(sqrt(28)\/sqrt(4) + sqrt(7)))).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzhkzkzkzzmz. Give prob of picking 1 z and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418 take away -0.0577?\nAnswer: 1418.0577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -13\/4 (c) 0.028 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31321 (base 4) to base 14.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(171)\/(sqrt(9) - sqrt(81)*-3) + ((3 + sqrt(171))**2 - (sqrt(19) - ((sqrt(114)\/sqrt(6) - sqrt(19)) + -5 + sqrt(19)))**2).\nAnswer: 181*sqrt(19)\/10 + 155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 9 = d, -6*g + 5*g = -6*g - 9*d - 196 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + 0. Let w = 14.3 + -0.3. Let t = w - 12. Which is the second smallest value? (a) 2\/11 (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367367, 734442, 1101517, 1468592, 1835667, 2202742?\nAnswer: 2569817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/6)\/(6\/18). Let v(w) = -2*w - 3 + 3. Calculate v(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2334 and -261.\nAnswer: 2073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 1 - 1)*(-170 + 55 - 23).\nAnswer: -276*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000 + -10?\nAnswer: 1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157 + -162. What is the nearest to 1\/5 in 3, 5, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 594 and 447480?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, r: 8}. What is prob of picking 2 b?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -17*q**2 + 1574*q - 32745. Give f(61).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 + 187 = -t + z, -5*z - 1071 = 3*t. Which is smaller: t or -725\/2?\nAnswer: -725\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one halves of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -5 (c) -33 (d) -0.4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17759, 17750, 17737, 17720?\nAnswer: 17699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, u: 3, j: 4}. Give prob of picking 1 r and 1 u.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46315?\nAnswer: 5, 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3*d + 2. Let g(o) = o + 4*o**3 + 0*o**3 - 2*o**3 + 3*o**2. Give g(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 165.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - v**2 + 27*v - 13. Give y(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1582 - -3)*62\/(-310). Sort 4, -1, j, 1 in decreasing order.\nAnswer: 4, 1, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 25 = -31. Suppose -4*x = g*q - 4*q + 1637, 2*q + 2*x = 3274. Suppose -d + 5*v = -q, -4*v + 4987 = 2*d + d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.15 + -0.15. What is the nearest to g in 0, -4, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 23*h + 30. Is b(6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*q - 2*h, 5*q - 5*h - 10 = 5. Factor q*v**2 + 0 + 2\/11*v - 2\/11*v**3.\nAnswer: -2*v*(v - 1)*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5) + (560\/(-100) - -1) + 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-60) + 3\/((-27)\/(-57))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -465 divided by 6\nAnswer: -155\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52218 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 o(i) = 3*i**2 + 59*i. Let v(m) = 7*m. Determine v(o(y)).\nAnswer: 21*y**2 + 413*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002218192 to 6 dps.\nAnswer: 0.000222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 1\/5 (b) 0.4 (c) 3.2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2. Let h(x) = 28*x + 2. Let j(y) = -27*y - 2. Let q(l) = 4*h(l) + 5*j(l). Give n(q(z)).\nAnswer: -1058*z**2 - 184*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 19 = 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 greater than or equal to 442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12006*a - 297 = 11979*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*c = -301*c - 2. Solve 2*v = -c*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v**3 - 3*v**2. Let i(n) = -14*n**3 - 14*n**2 + 6*n. Let r(l) = -l**3 + l**2 - l. Let x(j) = -i(j) - 6*r(j). Determine 8*p(b) + 3*x(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 14 = -3*c. Let j = 25 + c. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3512 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f - 17. Let l be b(13). Let v = l - 22. Let j = v + 14. Which is greater: j or 3\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*k + 8, 4*n - 3 = -5*k - 23. Let h(x) be the third derivative of 0 + 0*x**4 + 0*x + n*x**3 + 10*x**2 - 1\/270*x**5. What is b in h(b) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - s + 25 = 0, 0 = 4*t - 5*t + 5*s + 29. Let l = -11 + 13. Suppose 2*j = -2*k - l*k + t, 2*j = -5*k + 14. Put -5, -4, j, -3\/4 in decreasing order.\nAnswer: j, -3\/4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.8 - -3. Let d = -4.02 - -0.02. Let s be (-2 + 2\/4)\/(-6). What is the closest to s in v, 3, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnenne. What is prob of sequence nn?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l + 3*l - 3*l + 6*l to c*l + d and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -467, -456, -431, -386, -315, -212?\n\"Answer: y**3 + y**2 + y - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14033 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196241 is divided by 156.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, 3, 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 5*b**2)*(2*b**2 - b**2 - 2*b**2) + 3*b**4 - b**4 - b**4.\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 - -135. Let g(s) = -s**2 + s + 3. Let o be g(-5). Let b = o + q. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 110\/(-66) + 40\/(-12). Which is the nearest to -1? (a) y (b) -74 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87885\/8 - 10986. Let p = 6 - 2. Suppose 0 = -p*k + 5*k. Which is smaller: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2179 * -35.\nAnswer: -7.6265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((4 - 8) + 3). Let n be (3098*(-3)\/(-9))\/(2\/g). Let x = 2318 - n. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1156 times -15941?\nAnswer: 1842.7796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + b - b - b - 3*b + 0*b to the form x + r*b and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2475824*w + 2635246?\nAnswer: 2475824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39372574 to the power of 1\/3, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*u + 55*u - 232*u + 72 to f + v*u and give f.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + -1 + sqrt(700) + sqrt(700) + (sqrt(700) + -2)*-4 + -1)**2.\nAnswer: -320*sqrt(7) + 2864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 181 + 112. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 4:34 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7311633 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29502 - 29362. What is the greatest common divisor of 1316 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*t**6 - 27044*t**4 - 4*t**2 + 65*t + 129?\nAnswer: -720*t**3 - 649056*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -38. Suppose 0 = 2*a + j*x - 132, -3 = -x + 2*x. What are the prime factors of a?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*y = 628*y - 14320 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 434, 807, 1022, 1001, 666, -61, -1258?\nAnswer: -3003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1917 = i - 327. Suppose 2*n + 3 + 2 = -t, 4*t + 20 = 4*n. Suppose n = -4*c + 4*v + i, 0 = -c - 2*v - v + 545. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/31162802 and 61\/44.\nAnswer: 62325604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 12232?\nAnswer: -12301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = 5*v - 9*v. What is the remainder when v is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2555496?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a. Suppose 30 = 3*o + 2*o. Let y be d(o). Let z = y + 8. What is the lowest common multiple of z and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26229295\/1616 - 16231. Let k = f + 33129\/1616. Calculate the common denominator of k and 117\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -351 (b) 1 (c) -26\/567 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*c = -643*c - 260*c + 45628 for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*y - 100*y + 289*y.\nAnswer: 144*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -27 (b) 4 (c) -2\/329 (d) 2\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59472259?\nAnswer: 7, 11, 772367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 - -58. Suppose z - 12 = -2*l, -3*l + l + 16 = 2*z. Solve -g*p = -o - 17, -z*o + 4*p - 53 = -17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 243 - 241. What is the smallest value in s, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k + 7. Let s(v) be the first derivative of -v**2\/2 + v - 57. Calculate l(h) - 6*s(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1865 and 26483.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1206 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 10:50 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**4 - 5*w**2 - 2*w - 2*w**4 + 7*w**2 to h*w + s*w**2 + c*w**3 + f*w**4 + a and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7976, 32009, 72138, 128369, 200708, 289161?\nAnswer: 393734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6426 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + (-56)\/(-22)*(-6710)\/(-1220).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 89 = -55. Let d be 3906\/(-15) - 4\/(-10). Calculate the smallest common multiple of 2\/(-5) + d\/(-25) and n.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 9*b + 3. Let s(l) = l - 507 - b*l + 507. Let a(g) = 2*g. Calculate a(s(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210 + 137409\/652)*(-904)\/6?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2928089297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*d**3*i*w**2 - 1108*d**3*l*w**3 - 881*d**2*i*l*w**3 - 2*d**2*i*l + d**2*i*w**2 + 2*d*l*w**3 + 2*i*w**3 + 4*w wrt d.\nAnswer: 60*i*w**2 - 6648*l*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 20*l + 4. Let w be v(0). Put -2, w, -4, -0.1 in decreasing order.\nAnswer: w, -0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127309?\nAnswer: 7, 13, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2109362cm to micrometers.\nAnswer: 2109.362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-2) - 1\/(-2). Let p be (-5)\/(-15) - (-32)\/(-36)*39\/(-52). Which is the second biggest value? (a) 2 (b) m (c) p (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.9307 to 1 decimal place.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -20 + 19 + (-1 - 787\/(-1)). Suppose 2*m = 5*p - r - 506, 1013 = 4*p + 5*m. Is p at most 257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/352 and -25\/216?\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 3. Let t be x(-3). Suppose -t*j = -10*j + 132. Let r(f) = -3*f - 33 + j. Let i(k) = -2*k**2. Give r(i(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41311662?\nAnswer: 2, 3, 7, 19, 51769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -48735 divided by -19?\nAnswer: 2565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.6797ml to litres.\nAnswer: 0.0226797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 11:35 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a**2 - 4*a + 7. Calculate c(3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 233 - 215 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 24229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o**2 - 7*o + 6. Let b(d) = -6*d**2 + 6*d - 6. Determine -5*b(i) - 4*q(i).\nAnswer: 2*i**2 - 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 3, p: 4, b: 4, a: 5, c: 3}. What is prob of sequence pc?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4394183889 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 101011010011 (base 2) to base 4\nAnswer: 223103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -11, 0, 42, 60 in descending order.\nAnswer: 60, 42, 0, -11, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -15*x. Let g = -241 - -246. Suppose -10 = -2*l, -40 = -0*u - g*u + l. What is the remainder when o(-1) is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604 = 4*x - 4*k + 544, 0 = 9*k - 7*k for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -23213\/2508 + 239\/33. Is -1 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 - y**2 - 2*y**2 - 5*y**2 to d*y**2 + m*y + x and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 9*i = -14*i - 860, 0 = -2*w - 4*i + 1692. List the prime factors of w.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**2 + 3*x - 1. Let q be (-12)\/(-9)*(0 + 3\/(-2)). What is the lowest common multiple of c(q) and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 107*y + 214. Let p be d(-9). Let x = p + 751. Solve -x*v - 4*b = -14, -5*b + 2*b = -5*v - 30 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -517*k + 519*k. Which is greater: 1\/1073 or k?\nAnswer: 1\/1073","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -466, 5, -3\/7, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 14*w + 4*n = 24, 4*w - 4*n - 216 = 0. Suppose -3*o = 2*o - 900. Calculate the lowest common multiple of w and o.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -2*d - 3*y - 2*y, 0 = 5*d + 2*y - 544. What is d rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -690.72 - -691. Put k, 3, -5, 2 in increasing order.\nAnswer: -5, k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/3*(-1)\/(-2)*240\/35100*-3\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3607677 is divided by 1678?\nAnswer: 1655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 8093*b - 466028. Calculate c(58).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -857 minus 2033435?\nAnswer: -2034292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**7*(v\/(v\/v**12))\/v*((v\/(v*v**(-1\/3)*v))\/v)**(-41) assuming v is positive.\nAnswer: v**(259\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 4. Suppose -i = -3*i + 10. Let a be (i + -5)\/(6 - 3). Let r be n(a). Solve 2*g + u = -r, 3*g + 0*u + 3*u + 9 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1 - 98*t + 100*t + 7*t**3 - t**4 + 2 to the form j*t + q*t**3 + o*t**2 + d*t**4 + i and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -3\/2*z**3 - 1\/60*z**6 - 13\/12*z**4 + 0*z - 6*z**2 + 0 - 4\/15*z**5. Is g(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/98)\/(64289\/(-742) - -83).\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**2 - 8*p**2 + 13*p**2 - 14*p**4 + (1 - p**2 - 1)*(4*p**2 - p**2 - 2*p**2) in the form c*p**3 + g + b*p + j*p**4 + x*p**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u = 0, 4*s - 348 = 2*u. Let c be ((-2)\/(-4) - 0)*188. Suppose -3*l + s = 3*i, 3*l = -3*i + 7*i + c. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.59823um in millimeters?\nAnswer: 0.05659823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a**2 + 4*a - 4*a. Let g be -356*(-176)\/143 - (-6)\/(-39). Let x(i) = -2*i**2 - 867 + 429 + g. Calculate s(x(m)).\nAnswer: -20*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 696 - 47 = 41*j, -2*s + 53 = -s - 3*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -18*h + 12*h + 4*h + h**2. Let v be (-3)\/2*-7*8\/14. Determine u(v).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzz. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -12. Let t = j - 41.02. Round t to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 19*c - 9. Give r(12).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwfxaa. What is prob of sequence af?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5 - 492*s**4 - 24114*s**3 - 323568*s**2 - 1342251*s - 1726596 = 0. Calculate s.\nAnswer: -73, -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1807 + -5527. Round w to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4591018 is divided by 765169.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*f - 6*f + 4*f. Solve -f*b + 2*g + 3 + 2 = 0, -3*b + 2 = g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -76.3?\nAnswer: -75.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191012 is divided by 446?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/15)*n**(-4))\/((n*n*n**1)\/n*n**3) assuming n is positive.\nAnswer: n**(-137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 52 + (6 - 5) + -167\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12264262, 12264276, 12264290, 12264304, 12264318?\n\"Answer: 14*c + 12264248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f + 20 = 0. Let b be (0 + f)\/(1\/(-2)). Suppose 60 - b = 2*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 11*d**2 + 32*d + 16. Let w be m(-6). Solve w - 28 = 4*j + 2*s, -5*s - 8 = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 85*b**2 - 934*b + 79386. Give f(85).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 11 = 3*o, 0*o + 10 = -2*o. Let r be y\/(-10) + 186\/15. Suppose 3 = 3*m - r. Solve 5*v - f = 2*f + 40, 0 = -m*f - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402*w**3 - 181*w**3 + 189*w**3.\nAnswer: -394*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5571, 11144, 16717, 22290?\nAnswer: 27863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 13 + 16)*(0*f - 4*f + f) + (-1 - 3 + 13)*(0*f + 0*f + 2*f)*(1 + 1 - 5) as n + q*f and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/4*16\/6. Let j be (2\/(-12))\/(1\/p). Factor -2\/3*u**2 + 2\/3*u**3 - j*u + 2\/3.\nAnswer: 2*(u - 1)**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*f**2 + 12*f**2 + 2*f**2 + 14*f**2.\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4779 is divided by 371?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1213*h - 1205*h = 18968. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.351 + 215.351. Let i = p - 209. Which is the fourth smallest value? (a) 4\/5 (b) -1 (c) 2\/9 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4021104768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1056)\/2816 + (9\/(-8))\/1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*l + 289, 7*y + 3*l - 230 = 3*y. Put 10, 1, y in decreasing order.\nAnswer: y, 10, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/32*(4\/6)\/(((-4900)\/(-63))\/(-28))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -56695.\nAnswer: 1\/11339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/((-38709)\/483)*-3*(-10)\/21.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 783, 1, 0.2, -4\/23, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 2)*(-h + 4*h - h) - 13625*h + 2 - 6494*h - 7 + 5 in the form d*h + r and give d.\nAnswer: -20121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3\/7 - 4*u**2\/7 - 8*u\/7.\nAnswer: 4*u*(u - 2)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19679352 and 21252?\nAnswer: 19679352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(16)\/sqrt(4)))\/(sqrt(396)*-1)*1.\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 6. Let q = -9 - r. What is the units digit of (q + -9)\/(2\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2)*t)**(-2\/29)*t**4\/t*t\/t**(1\/4) assuming t is positive.\nAnswer: t**(423\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -8.068. Let d = -84.932 + s. Let m = d + 84.9927. Round m to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.029, 1 in decreasing order.\nAnswer: 1, 0.029, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -111101000101 (base 2) to base 5\nAnswer: -111114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174, 0, 2, 1 in descending order.\nAnswer: 174, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22394*t + 44820*t - 22407*t.\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*f + 5*n, 0 = -11*n + 8*n - 9. Suppose 9*w - f*w = 0. Suppose 5*o = h - 0*h - 50, -2*h + 5*o + 75 = w. Solve 5*t + 0*t - h = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 7*q + 56*q - 33*q - 9*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27145, 4\/5, -2\/9, -1\/8, 2\/7?\nAnswer: -27145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116877541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/405*-5*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27989604 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224387255*w + 224387256*w + 4*p = 3, -p - 15 = -2*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26522 and 6230?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12671021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61025063.\nAnswer: 11, 5547733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 351827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69594816 and 1440?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14571782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64240 divided by 5.\nAnswer: -12848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/3, -1\/6, 5, 4, -1, -0.025?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 10:02 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/442431 - -6144991\/25660998. Calculate the common denominator of s and -19\/1131.\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 10\/(-7) + 87750\/910.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -180360 + 180358.77639. Let b = 1.217 + y. Round b to 4 decimal places.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 19895*k - 19906*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/7115 and -43\/39280?\nAnswer: 55895440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 16) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**5\/50 + b**4\/15 + b**3\/15 - 2*b**2\/5 - b. Let q(m) = 0. What is m?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55824207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, 1125, 2247?\n\"Answer: 1122*x - 1119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3570, 28418, 95866, 227214, 443762, 766810, 1217658?\n\"Answer: 3550*m**3 - 2*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -160336 (base 7) to base 10\nAnswer: -31387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(637))**2.\nAnswer: -140*sqrt(13) + 2573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 1. Suppose 31*o + 151 = 182. Let n(p) = 1 - p + 3*p + 0*p - p. What is o*b(t) + 4*n(t)?\nAnswer: 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*d**3*o**3 - 70*d**3 + 47*o**4 - 48*o**2 wrt o?\nAnswer: 168*d**3 + 1128*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/8502075 and -58\/25.\nAnswer: 8502075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -54*p - 4. Let y(j) = -378*j - 27. Let d(i) = 27*s(i) - 4*y(i). Does 18 divide d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 1)*11\/(-2). Suppose -3*n = -q + 102, -6*n = -7*n - 2. Suppose o - q = -7*o. Is s less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, -127, -1, 0, 80, 19 in decreasing order.\nAnswer: 80, 19, 4, 0, -1, -9, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*u**3 - 18*u**3 + 19*u**3.\nAnswer: 42*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 9) to base 6.\nAnswer: 3214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1218)\/(-2639))\/((-9)\/(-195)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-24)\/3))\/(60\/((-74520)\/(-23))).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 4*l - 3*l)*((2*l + 3*l - 6*l)*(1 - 1 + 2*l) - 4*l**2 + 6*l**2 - l**2).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/(-1258)*(1\/(-34)*-4)\/((-372)\/(-1054)).\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1660526cm to micrometers.\nAnswer: 1660.526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 420?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)*z**(-1\/44))\/(z*z**12*z)**(-13\/5) assuming z is positive.\nAnswer: z**(6683\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*r - 119 - 16. Let p = -199 + 332. Calculate the remainder when p is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.3075 - 16.304. Let r = n + 13. Round r to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4ec24 (base 16) in base 2?\nAnswer: 1001110110000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -310 greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-3)*w)**(-19\/4)*w**(2\/31)\/w**(-1\/3))**(12\/13))**(2\/33) assuming w is positive.\nAnswer: w**(7364\/13299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 12*h - 25. Calculate p(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 7)\/5 + 22. Calculate the highest common divisor of m and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110000010100001010 (base 2) to base 7.\nAnswer: -21023400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 + 2742*o\/7 - 858616\/7.\nAnswer: -2*(o - 887)*(o - 484)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 - 2*o**2 - 11*o - 13. What is the remainder when 165 is divided by m(-3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 8*h**2 + 8. Let u(m) be the second derivative of m**5\/20 - 19*m**4\/12 - 43*m**3\/6 + 13*m**2\/2 - 200*m. Let l be u(21). Determine b(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 (base 6) in base 9?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fffxxffffff?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 p when four letters picked without replacement from {m: 4, p: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*a**2 - a**3 - 1260*a**4 - 12*a**3 - 37*a**3 + 5*a**5 + 1255*a**4.\nAnswer: 5*a**2*(a - 4)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02409 - -533.32409. Let a = y - 244. Let r = a + -277. What is r rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 - 25*x**2 + 5*x**2 + 28*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -7. Let n be (8\/q)\/(1\/(-2)). Let p = 8.2 + -8.2. What is the closest to p in -0.1, n, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + f - 26. Suppose -3 = 2*r - f. Let d = 2 + 2. Solve r*v - d = 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124717 (base 8) to base 11\nAnswer: 2a72a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04425511 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djdv when four letters picked without replacement from dvddddjvddjj?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/((-2)\/(-3 + 7 + -33456)). Suppose u = l + 1702136. Round l to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23757?\nAnswer: 3, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*l - 16 - 1, -30 = -5*w - 3*l. Let j(t) = t - 3. Let z be j(w). Let x(d) = d**3 + d. Determine x(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 3*m - 40. Let q be v(8). Let p = -191 + 200. Put p, -2, q, 4 in increasing order.\nAnswer: -2, q, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-63))\/(7\/(7\/(-2)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 4. Let y be s(-3). Suppose -v = 5 - y. Let o = v + 6. Solve 3*q - 13 = -o*r, -2*q = -q + r - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5832 divided by -4?\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 5:50 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 3*v + v)*(-3*v - 2*v - 4*v) - 47*v**2 - 48726*v + 48726*v to the form p*v + a*v**2 + l and give a.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17084757587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12983\/1547 - -8\/221. Find the common denominator of 7 - 6 - -2 - 5\/(-22) and j.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + x - 23 = 0, 4*x = u + u + 2. Suppose 0 = -5*i + i - 4. Let h be -2 + 3 + 1\/i. Solve z + q - 2 + 1 = h, 0 = -2*z + u*q + 23 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 39 = 27. Suppose 3*v - 5*v = 10. Which is bigger: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k + 1656 = -127*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008836326 to 6 decimal places.\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93582040.\nAnswer: 2, 5, 2339551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100010111 (base 2) to base 7.\nAnswer: 6533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 387*t**4 - 4*t**3 + 3929*t**2?\nAnswer: 9288*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-11)\/(k**(4\/7)*k*k) assuming k is positive.\nAnswer: k**(-95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 212 = -224. Solve w*q = 2*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61405656 to the power of 1\/2, to the nearest integer?\nAnswer: 7836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 341*c - 160. Let i be r(5). Let t = i + -229. List the prime factors of t.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173*l*n*o**2*y**2 - 3*l*n*o**2 + l*n*o*y - 51*l*n*y**2 + l*n + 3*l*o**2 + 2*l*o*y**2 + 2*l*o wrt o?\nAnswer: 346*l*n*y**2 - 6*l*n + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*b**2 - 3907314288*b + 3907314288*b.\nAnswer: -233*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5049 + -2?\nAnswer: -5051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15767040 greater than or equal to 15766949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 + 865*x**2 - 644*x + 92407. Calculate b(432).\nAnswer: 823","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.4 - -13.37. Which is the biggest value? (a) 1 (b) z (c) -0.2 (d) -15 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665.6476 months in millennia?\nAnswer: 0.2221373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39992456 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -7. Suppose 2*n + 2 = x. What is the tens digit of (n\/9)\/((-1)\/(-42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -152, -507, -1060, -1811?\n\"Answer: -99*h**2 - 58*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 394\/11*u**2 + 228\/11 + 538\/11*u + 2\/11*u**4 + 86\/11*u**3 = 0. What is u?\nAnswer: -38, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 1254.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69\/11 - 1979\/319. Which is smaller: z or 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + 4*p + 104. Let v(c) = 35*c - 124. Calculate z(v(h)).\nAnswer: 2450*h**2 - 17220*h + 30360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(117) + 2 + 5.\nAnswer: 6 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*g + 7496, -2*n - 20821 + 5797 = -4*g. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h - 6*h + 5*h + 47*h**2 - 44*h**2. Let n be o(1). Solve -n*x = x + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 142 or 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 4:38 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 3 (c) -2696 (d) 0.1 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*-1*((-441)\/40131)\/(5\/(210\/4))?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112212211221101 (base 3) to base 12.\nAnswer: 279539a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 179*j + 4. Let i be m(4). What is i rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21963732 by -4.\nAnswer: 5490933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q = -q - 66 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 21 = l, 0 = -v - 2*l + l + 7. Suppose -85 = -5*w + 4*j, -3*j - 48 = -2*w - v. Suppose -4*t + w - 1 = 0. Solve t = m - 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14545 + 11808 = 161*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -269*x**5 + 142*x**5 - 28*x**2 + 143*x**5 - 3*x**2 wrt x.\nAnswer: 960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2966900 and -26?\nAnswer: -77139400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 0*u - 3\/4*u**4 + 107\/4*u**3 + 79\/4*u**2 - 1 - 35\/4*u**5 = 0.\nAnswer: -1, -2\/7, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -7\/5*g**5 + 2*g - 1\/6*g**3 + 0*g**4 - 5 + 43\/2*g**2. Find the second derivative of y(l) wrt l.\nAnswer: -168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) - 1 - ((-99)\/27 - 0). Solve -4*u + 3*z - 19 = 0, v*z - 34 + 16 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.6. Suppose 3513 = 66*i + 3183. Which is the closest to z? (a) -7 (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238*0.08\nAnswer: -19.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 566045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -104\/18793?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1955 - 4\nAnswer: 1951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 190823513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2212212 (base 4) in base 5?\nAnswer: -320122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/1*(-9)\/6. Let k(n) = 21 + 20 - n - 46 + l. Determine k(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16945 by -4.\nAnswer: -16945\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 5*h - 3 - 10 = 0, h + 6 = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u + 14. Let y be g(5). Let t = 87 - y. Which is greater: 52 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -11 + 8 + (-12 - -10) + -13.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + b + 1. Let u(j) = -j**2 + j + 2. Suppose 6 = -m + 9. Suppose 0 = -s - t - 8, m*s - 4*t = 4 + 7. Calculate s*w(g) + u(g).\nAnswer: 2*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -5*g**4\/6 + 163*g. Let t(p) = -5*p**2. Calculate o(t(x)).\nAnswer: -250*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3220.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 9. Let c(y) = -3*y**3 - y**2. Let h be c(k). Are 1 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3549828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 418 + -4b8?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, 16, 90, 236, 478, 840, 1346?\n\"Answer: 4*j**3 - 2*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + sqrt(720) + 0 + sqrt(720))*6 - -6*(sqrt(720) + 0) - (4*sqrt(2205) - sqrt(2205) - sqrt(360)\/sqrt(8)*2))*2.\nAnswer: 462*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1326 + -1321. Solve -7*s + 4*t + 20 = -2*s, 0 = 4*s - l*t - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**4\/8 - 7*p**3\/6 + 4*p**2. Let l be b(-5). What is the highest common divisor of 20 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 2*a - 139, 12*b + 5*a - 893 + 325 = 0 for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 34763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 15 - 2*s + 0*s - 10.\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 57 = 4*f + 3*y, 4*f = -5*y + 70 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.2071 decades in months?\nAnswer: 10344.852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 70390, 70375, 70382, 70423, 70510, 70655?\n\"Answer: 2*f**3 - f**2 - 26*f + 70415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2982233, -5964474, -8946721, -11928974?\n\"Answer: -3*a**2 - 2982232*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47)\/(-141) - (-22)\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 9, l: 8, q: 2}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50073.2 micrograms in nanograms?\nAnswer: 50073200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 14 - 2. Suppose 0 = n*f - d - 3*d - 68, -4*f + 69 = -5*d. Suppose o - 6*o = r - 24, o + f = 5*r. Sort 2, o, 3.\nAnswer: 2, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69937480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 400015 = -2*b, 48846 - 448826 = -2*b - 4*z. What is b rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - (-52)\/(-10))*(4 + 2\/(-3)). Which is the second biggest value? (a) 21\/2 (b) -1\/14 (c) -1 (d) p (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4*j - 4*j - 1 + 2*j**3 - j**4 in the form f*j**3 + i + m*j**4 + k*j**2 + t*j and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*t, 4*j + 199 + 372 = 5*t. Let c = -98 - j. Is 25 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 371\/5821 - -173883313\/116420. Let r = -1493 + m. Let d = -1\/496 - 22805\/5456. Calculate the common denominator of d and r.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 1:56 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2736640 by -68416.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 1. Let q(a) = -7*a**3 - 2*a + 2. Suppose -g = 3*t - 2*g, 3*t + 5*g - 18 = 0. Calculate t*q(f) + 5*x(f).\nAnswer: -2*f**3 - 2*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4a (base 11) to base 8\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(22) + sqrt(88))\/sqrt(2))**2 - (6*sqrt(1100)*2)**2)*2.\nAnswer: -316602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 12*c = 170. Suppose -6*j = -m - 4*j + 4, 2*m + 8 = -4*j. Suppose s - c + 23 = m. Solve i - 5*x = -0*i + 13, 3*x + s = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1156\/7*g + 0 + 2\/7*g**3 - 102\/7*g**2 = 0 for g.\nAnswer: 0, 17, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 12 = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 18 = 25. Let j = -20 + r. Calculate the remainder when j is divided by ((-2)\/7)\/1 - (-464)\/56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*f, -5*j + 6309*f = 6300*f + 32 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/4)*a)**25\/(a\/a**(1\/2))**(-2\/51))\/((a**(1\/2))**(32\/3)*(a\/(a\/a**(-2\/5)))**(3\/49)) assuming a is positive.\nAnswer: a**(2547019\/49980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -227 - -226. Let y be -1*0\/(-3 - -5). Suppose y = 5*p + 20, 3*h = -h - 3*p. Put -12, h, m in decreasing order.\nAnswer: h, m, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 11:55 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 267*v - 17 + 44 - 27 + 1176*v to the form q*v + t and give q.\nAnswer: 1443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -5875?\nAnswer: 5874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1462895.0611 + 2507.\nAnswer: -1460388.0611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 552 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(14\/3)\/(240\/72)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.069, -4, 0.1?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -4*k - 20, 7853*k - 10 = 7859*k - b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l - 7. Let h(n) = 6*n + 5. Let c(y) = 5*b(y) + 7*h(y). Let m(s) = -3*s. Let u(z) = 7*z. Let a(g) = 5*m(g) + 2*u(g). Give -4*a(d) + c(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.64, -0.1, 1\/3, -3\/2, 0.3 in descending order.\nAnswer: 0.64, 1\/3, 0.3, -0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.4 + -5.4. Let x = 16 + -6. Suppose 3*o - o - 2 = u, 0 = -4*o - u + x. Which is the third biggest value? (a) -2\/11 (b) o (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1542097, 3084200, 4626303, 6168406?\n\"Answer: 1542103*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -885006594 by 1817262.\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 4:46 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 9*k**2 + 10*k + 3. Let u be f(-10). What is the units digit of 7 - (1 - (2 - u))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5238 divided by -5\nAnswer: 5238\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 33 + -3 - (9 - 0) - (-2 + -93)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 216997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*(22*h**2 + 2*h**2 + 22*h**2).\nAnswer: -138*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.54 + -27. Let p = i - -2.36. Which is the third biggest value? (a) -4 (b) 5 (c) p (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2*v = -31, -6*y + 3*v = -58 + 31 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-740)\/(-225))\/4 - (-6)\/(-27). Factor -3\/5 - 3\/5*u**3 + k*u**2 + 3\/5*u.\nAnswer: -3*(u - 1)**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**3\/3 + 91. Let a(y) = 4*y**2 - 42*y. What is a(q(f))?\nAnswer: 4*f**4 + 42*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**2 - j**2 + 5*j**2)*(0*j**3 + 3*j**3 - 2*j**3) + 2*j**5 + 158*j**3 + 6*j - 11*j - 160*j**3.\nAnswer: j**5 - 2*j**3 - 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 1:10 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**4\/12 - s**3\/3 - s**2. Let g(l) = -8*l - 7. Let y(w) = -w - 1. Let c(k) = -g(k) + 4*y(k). Determine -3*c(q) - 5*d(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 4:19 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/4 + 57*a**2\/2 - 3*a\/4 - 57\/2.\nAnswer: 3*(a - 1)*(a + 1)*(a + 38)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifvffffifivvfvi. What is prob of sequence fv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.769 - -3.641. Let b = 4.6 - t. Let l = 0.11 + b. Sort 1\/2, l, 0.1 in descending order.\nAnswer: 1\/2, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*q = -24 - 3, 4*q = x - 19. Suppose 4*y + 1720020 = -5*r, -x*y = 3*r - 6*r + 1289988. 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: Sort -2, -5, 2389, 4 in descending order.\nAnswer: 2389, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 9:49 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 22*l - 12. Let f be z(3). Suppose 190 = 7*k - 401 - 39. What is the greatest common factor of f and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2817722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-6)\/8*40\/(-15). What is the highest common divisor of g and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2*z - 3 = 0, -5*z - 29 - 6 = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 2*p + p)*(-182 + 60 - 9) + 5*p + 2*p + p.\nAnswer: 139*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*d**3 - 150*d**3 - 143*d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40933 - 4420717\/108. What is the common denominator of 139\/96 and s?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let k(n) = -6*n + 3. Let s(p) = 5*i(p) + k(p). Let c be s(3). Suppose x + 12 = -2*l + 20, -4*x - 4*l = -16. Solve x = 4*z - c*z + 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.067 - -0.231. Let l = z + -0.165. Round l to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -15104\nAnswer: 6041.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 - p + 3*p)*(-15*p + 12*p + 8*p) to l*p + r*p**2 + z and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*n + 2*l, -2*n + 0 = -l - 4. Which is the third smallest value? (a) -5 (b) -0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24813 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 2:58 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 3*o**2 - 3*o - 4. Let q = -8 + 5. Let r be y(q). Suppose -4*a + r*b = -69, -9 = 5*b - 4. Round a to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)*g**(-3\/2))**38*((g\/(g*g*(g\/(g*g**(1\/3)*g*g)*g)\/g))\/g)**(-3)\/(((g*g**(-1\/2))\/g)\/g)**(-1\/29) assuming g is positive.\nAnswer: g**(-14509\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1\/53, -115?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 4*z**3 + 0*z**3)*(0*z + z + z) + (-z + z**2 + z)*(2*z**2 + z - z) + 7253 + 56*z**4 - 7253.\nAnswer: 54*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.3 - -7.1. Which is the second smallest value? (a) -0.08 (b) x (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -35 (b) 0.5 (c) 4 (d) -2\/3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -23298340*o**3 - 22204*o**2 + 22204*o + 22204. Let i(g) = 3148*g**3 + 3*g**2 - 3*g - 3. What is 44408*i(n) + 6*x(n)?\nAnswer: 6344*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -48*q - 2. Let w(b) = 49*b + 4. Let u(f) = 2*c(f) + 3*w(f). What is the derivative of u(n) wrt n?\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 74\/5 or 1096065?\nAnswer: 1096065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -456 + 458. What is the second derivative of -102*q**2 + 529*q - 67*q**k - 641*q + 61*q**2 wrt q?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 575953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*z**4 + 183005*z**3 - 41222287*z**2 wrt z?\nAnswer: 696*z + 1098030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2318 and 1938.\nAnswer: 118218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 375712951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.7869 + -12.8. Round u to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a1a (base 15) to base 2.\nAnswer: 11110110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 143, 139, 133, 125, 115?\n\"Answer: -f**2 - f + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - x**3 + 0*x**2)*(-23350 + 23350 - 336*x)*(4*x - 2*x + 0*x).\nAnswer: 672*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 338250 and 7150?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 4*k + 2*k)*(17*k**2 - 6*k**2 + 4*k - 9*k**2)*(5*k - 4*k + 3*k).\nAnswer: -16*k**4 - 32*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18f9 (base 16) to base 8.\nAnswer: 14371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 12*x + 13. Let p be t(11). Let k be 0 - 23\/1 - 2\/p. What is the common denominator of 59\/18 and (k\/(-160))\/(4\/(-170))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 - 2*g - 10. What is f(-4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-43)\/(860\/(-300)) - (-4 - -5))*(-2 + 13)?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8717 * 786.8\nAnswer: 685.85356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 1:06 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7*i**2. Suppose -35*f - 29*f = 0. Let v(q) be the first derivative of 0*q + 2\/3*q**3 + f*q**2 - 4. Give v(p(s)).\nAnswer: 98*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 754 = 887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42112 = 27*c + 29*c. Calculate the highest common factor of 235 and c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -3*i + 12, 5*i - 9 = -2*p - 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 6)*(-18*g + 4*g - 10*g)*(-9*g**2 - 50*g**2 + 6*g**2) to r*g**3 + o*g + h + k*g**2 and give r.\nAnswer: -2544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*7\/14*-4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12737 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8329 and 3?\nAnswer: 24987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*(3 + sqrt(363))*3*-3 + -1)**2.\nAnswer: 85536*sqrt(3) + 482112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + 7c990e?\nAnswer: 7c9905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 25027744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 90853.95 weeks?\nAnswer: 54948468960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0, 6, 2, -48, 0.057, 1 in ascending order.\nAnswer: -48, -1\/3, 0, 0.057, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 94356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81687316.\nAnswer: 2, 29, 47, 14983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g + 6*g + 3 + 4*g + 15*g + 40*g**2.\nAnswer: 40*g**2 + 8*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2873503.5 months to millennia.\nAnswer: 239.458625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 3*p**2 - 473*p. Determine k(-24).\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*b**2 + 50*b**2 + 11*b**2 to the form k + t*b**2 + h*b and give t.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) + 94033\/(-798). Let w = -2385\/19 - z. Calculate the common denominator of w and 3762\/(-304) - (0 + -8).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*q + 28, 2*j + j - 42 = -3*q. Let x = 31 + -20. Let o = x - 8. Solve 4*c + 13 + o = -a, 0 = 2*c - 5*a - j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, -0.28, 1\/3, -2.3 in decreasing order.\nAnswer: 5, 1\/3, 0.3, -0.28, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*2 - sqrt(175))**2 - sqrt(175))*1.\nAnswer: -5*sqrt(7) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -22858.\nAnswer: 22857.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(1\/21))*u)\/(u\/u**(-14)*u)*(u**4)**45 assuming u is positive.\nAnswer: u**(3466\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93*u**5 - 20*u**2 - 2 wrt u.\nAnswer: 5580*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 8 - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 15d6?\nAnswer: 15d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/698 and 1\/(-14) - (-21294)\/(-27048)?\nAnswer: 32108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-2\/13)\/o))\/o**15*(o**(5\/2)\/o*o*o)\/o**(-6))**(-1\/23) assuming o is positive.\nAnswer: o**(113\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6722.919m?\nAnswer: 6.722919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/17))**(-1\/18)\/(a**(-1)*a**(-6)) assuming a is positive.\nAnswer: a**(1072\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -26*s**2 + s + 3. What is h(-1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -12\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 64. Let x(b) = -26*b + 1. What is the remainder when x(-1) is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213502155085 less than -0.77?\nAnswer: 213502155084.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6809 + 24209. Round m to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -50. Suppose 9 = -l*m + 16*m. Solve 0 = -2*q + m*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -73482 - 66?\nAnswer: -73528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from {k: 1, e: 2, x: 1, v: 1, o: 1, j: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/5 - (-5)\/(75\/(-6)). Solve s*j - 3*j + 12 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (80 + -32 + -2 - 91)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q\/(q**4*q))\/q*q\/(q\/(q\/q**(-1))))\/(q**1*q*q)**(-3))\/(q**1\/(q\/(q*q**(5\/2))))**(2\/5) assuming q is positive.\nAnswer: q**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 1, -2999, -0.132, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 16.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 41663.6 to the nearest 100.\nAnswer: 41700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31301313 (base 4) to base 10.\nAnswer: 56439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.173 - 48.827. Let d = h - -48.99. Suppose 9 = -4*x - k, x = 2*k - 7 + 16. Which is the second smallest value? (a) 0 (b) d (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -89.\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3, -0.3, -5 in decreasing order.\nAnswer: -0.3, -1\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.259 - -0.229. Round h to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-32) - 38\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -924*i. Let g(o) = -o. Give s(g(d)).\nAnswer: 924*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*k - 3*w, 0 = -3*k + 4*w - 7 + 58. Suppose -3*v + 5*y = -86, 0 = 2*v + y - 5 - 61. Calculate the remainder when v is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 41*t**7\/105 + 166*t**3\/3 - 15*t**2 + 4. What is the first derivative of v(m) wrt m?\nAnswer: 328*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4459?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2433 - 3108 + 1276 + 1151)*(0*c**2 - c**2 - 6*c**2)*(-2 - 3 + 4 + (0 + 1 + 0)*(-1 + 0 + 0) - 2 + 5 - 5).\nAnswer: -87192*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*j + 27*j - 288. Does 36 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*g + 3777*g**2 - 165 + 1264*g**2 - 597*g**2 wrt g.\nAnswer: 8888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 58, 124, 228, 382?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*o - 38, -5*o + 34 = -o - 2*c. Suppose -3*q + 15 = -0*q. Is (-99 + q)*o\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8475.02 - -8477. Which is the third smallest value? (a) -5 (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 20*i - 25. Let r be j(20). Suppose 40*h - r = 35*h. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14297*z**3 + 55*z**2 + 4*z - 2?\nAnswer: -85782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 2*n - 7. Let m be g(-4). Put m, -10, -2, -1 in descending order.\nAnswer: m, -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/15 - -2\/5. Let k = -1.3 - -0.3. Let a = -4.964 - 0.036. What is the nearest to -1 in k, s, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-30)*j*j**(1\/12)*j assuming j is positive.\nAnswer: j**(-323\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 607*j. Let w(q) = 77*q. Give s(w(a)).\nAnswer: 46739*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 305805329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4924 - 4964. Let v = -17 - 71. Let p = s - v. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -2*v - 14, 20170*v - 5*p - 6 = 20174*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*r - 12 + 49, 0 = 5*r + 5*y - 45. Suppose 5*v = 8*v + 7*v. Suppose 5*t - 491 + 131 = v. Calculate the highest common factor of t and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**4\/4 + 8*o**3\/3 - 3*o**2\/2 - 6*o - 11. Is p(-5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + (-3 - -7))\/(6 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -163041 and 3?\nAnswer: -489123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/34)\/(8*(-6)\/840).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102076835 to the nearest integer?\nAnswer: 10103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) -0.2 (b) -0.4 (c) 1\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13952 is divided by 6927.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 1420640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u - 8. Let w be h(-3). Suppose 2 = -3*f + 8*f + w*x, -4*f = -5*x - 18. Solve 0 = -b + 2*b - f*l - 3, 22 = 5*b - 3*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4 + 16. Solve 4 = 5*x - p*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*j - 208, n - 3*j - 71 = -4*j. What are the prime factors of n\/12 - (-1)\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 + -49. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*k - 3*k - 2*k + (4*k - 15*k + 3*k)*(-3 + 2 - 1))*(11413 - 11413 - 454*k) as q*k**2 + m*k + j and give q.\nAnswer: -9080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*q*z**3 - 123*g*q*z**2 + 4*g*z + 8*g - q*z**3 + q*z wrt z.\nAnswer: -6*g*q*z - 246*g*q - 6*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (69\/45 - 3) + (-2)\/(-3). What is the nearest to 2\/5 in -0.2, c, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 614856.\nAnswer: 1844568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h. Let z(i) = -2*i. Let a(t) = 6*c(t) + 17*z(t). Let q(g) = 3*g. What is q(a(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-456)\/323)\/(8\/(-68))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 136448 times 2.3\nAnswer: 313830.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 30 = 5*u, -5*g - 84*u + 20 = -89*u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27 plus 111.04850031?\nAnswer: 111.31850031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -41 - -4?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b**2. Let p(d) = 2*d - 1070 + 3*d**2 + 3*d + 1065. Let t(g) = -4*g**2 - 6*g + 6. Let z(o) = -6*p(o) - 5*t(o). Give z(q(s)).\nAnswer: 50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 615130?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(2055\/18769) - -67.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -16*x**2. Let f(q) = -9*q**2. What is o(f(n))?\nAnswer: -1296*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31862840*c**2*v**3 + 2*c*v**3 - 2*c*v**2 + 2*v**3 - 1464*v**2 + 65*v wrt c.\nAnswer: 63725680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.48 + 0.12. Let o = -0.526 + 0.126. Sort 5, v, o in ascending order.\nAnswer: o, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) - (sqrt(132) + sqrt(132)*1))*-3)\/(-1*sqrt(48)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-15))\/((-3)\/45). Let w = -2 - -5. What is the third derivative of -g**w + 0*g**6 - 3*g**2 + 3*g**l + g**3 wrt g?\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 602*r**2 - 588*r + 3600.\nAnswer: -2*(r - 2)*(r + 3)*(r + 300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -38.043*-3\nAnswer: 114.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4954 - -4?\nAnswer: 4958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 h when four letters picked without replacement from {h: 4, n: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 1\/12 (c) -1701 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) 8\/7 (b) -0.5 (c) -3 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -134*q**3 - 2*q**2 + 2*q + 1. What is v(1)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3001 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 6*p + 11. Let o be l(-8). Are o and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 972, 7575, 25498, 60399, 117936?\nAnswer: 203767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182658184 - 260989.\nAnswer: -182919173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 774.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1855.\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 34*z**2 - 6*z - 10. Let n be 5\/((-30)\/(-4))*75\/10. Let w be g(n). Suppose -3*b = 15, 2*a + b - w = -3*b. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 + 6 + 2)*(1 + 3 - 2 + (2 - 5 + 1)*(-4 + 4 + 3))*(14*f**4 + 16*f**4 - 23*f**4) in the form j*f**4 + d*f**3 + y*f + p + n*f**2 and give j.\nAnswer: -868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 6:48 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/65985 - -39851\/8578050. Let y = 29217\/7150 + q. Find the common denominator of y and -44\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/23296 and 47\/224?\nAnswer: 23296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986030.\nAnswer: 2, 5, 151, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2185 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 10923799 to the nearest one thousand.\nAnswer: 10924000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3618?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9472.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.70102us in nanoseconds?\nAnswer: 36701.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 231 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = a + 43, 63 = 2*r - 82*a + 85*a. What is the remainder when 1319 is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a + 4. Let g(u) = -6*u**2 + 2*u**3 - a*u + 2*u**3 - 3*u**3 - 2. Suppose -53*t = -46*t - 42. What is g(t)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n. Suppose 52*d = 145 + 375. Suppose 6 = h + 4. Solve n = 2*y - d + h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 - 122*p + 34 to the form u + f*p and give f.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000356824407 to seven decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.9, 1, 2\/5, -56733.97, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, g: 3, l: 2, p: 1, n: 3, b: 2}. What is prob of picking 1 m, 1 g, and 2 b?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2448430?\nAnswer: 2, 5, 244843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1158 by -37471.\nAnswer: 1158\/37471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*z - 14, -2*z + 0*o - 3*o + 10 = 0. Suppose -z*b + 131 = -2*s + 3*s, -2 = -b. What are the prime factors of s?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25865871 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/12 - 7*p**3\/3 - 7*p**2 - 95*p. Let l be f(-13). Which is greater: l or -1\/110?\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 206304590 + 2.5\nAnswer: 206304592.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - l - 3*p + 12 = 0, 8 = -5*l + 2*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 2\/566431839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 148780798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7098 is divided by 522.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -335.48211 rounded to one dp?\nAnswer: -335.5","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Convert -22111120020 (base 3) to base 2.\nAnswer: -101000110110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w**3 + w**2 - 40156*w + 158949?\nAnswer: -3*w**2 + 2*w - 40156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/8 and 43\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c - c**2 - 2 + 0*c**2 + 7. Let h be r(7). Let l(p) = -p**3 + 6*p**2 - 5*p + 5. What is l(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -43, -85, -143?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 divided by 185?\nAnswer: 191\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) + 341\/3. Suppose 0*t - q = -2*t. What is the remainder when t is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*h + 30, 0 = -4*h - 5*y - 2 - 3. Suppose 0*t = -7*t + 28. Calculate the remainder when h is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.156902 rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 12)*((-22)\/(-11) - 6)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -1 - (-11 + 11\/11). Suppose 0 = f*n + 2*n - 22815. What are the prime factors of n?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28, 165, 540, 1273, 2484, 4293, 6820, 10185?\n\"Answer: 20*v**3 - v**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.26876 to two decimal places.\nAnswer: -1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 8*g - 36. Suppose 92 = 5*b - g*b. Let j = 32 + b. What is the highest common factor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -40?\nAnswer: -7\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 21 + 1 = 0. Let d be 87\/17 + s\/(-255)*6. Solve -2*r - 5*c = -1, -d*c - 1 = r + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from {z: 1, x: 1, d: 1, n: 1, i: 2, c: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 161, 200, 243, 290, 341, 396?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/((-43)\/(-4988))*(-2)\/(22\/11)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 22446.6174 seconds?\nAnswer: 0.2597988125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 12\/414497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6.1*-16\nAnswer: -97.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7*v = 16. Let f(c) be the first derivative of -5*c**2 + c + 150. Let k(s) = -9*s + 1. Let r(h) = v*f(h) - 5*k(h). Differentiate r(x) wrt x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 67.1193 centuries?\nAnswer: 6711.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, 3, 395, 0, -1, -7 in descending order.\nAnswer: 395, 88, 3, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 + 1 = 0. Suppose -3*u + g*m - 2*m = -46, 5*m + 19 = 2*u. Solve 4*t = j + u, 1 = -2*t - j + 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 = -5*u - 7, -2*t - 5*u + 43 = 0. Suppose -v + 119 = -13. Suppose 0 = 4*s - v. What is the remainder when s is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = p - 4*m, 6 = 4*p - m - 63. Suppose -k = o - p, -8 = 2*k - 2*o - 30. Calculate the greatest common divisor of k and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d*d**(-7))\/d)*d**(1\/17))\/(d**(1\/3)*d*d**(5\/3)))**(1\/44))**(-7) assuming d is positive.\nAnswer: d**(-301\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2 + 7*l + 1 - 3. Let u be o(-3). Let i = 38 + u. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w**3 - 3*w**2 - w + 3. Let h be j(1). Let k(r) = 2*r. Let c be k(h). Suppose -9*d + 41 = c. Solve -6 = 3*i - d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43927 and 2069.\nAnswer: 90884963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 38912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -7.8634329?\nAnswer: -5.8634329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 - -34. Let y = l + 45. What are the prime factors of y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnn. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -1098052, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 1:15 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*d + 56 = 2*d, 3*i - d = 37. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3346124 and 1580.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in sixteen fifteenths of a minute?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 806 and 1326.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -39504120.\nAnswer: 19752060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 57 = 60. Is (764\/12)\/(d*(-1)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 363*d**2*m**2*y + 7*d**2*m + 3*d**2 + 10884*d*m**2 - 32*d*m*y + 4*d*y + 4*m*y + y - 12 wrt m?\nAnswer: 726*d**2*y + 21768*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 8*f**2 + 11*f + 29. What is the least common multiple of 42 and i(-9)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 + 0.4. Which is the nearest to 0.01? (a) l (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/8)\/(3\/(-54)). Let n(d) = -d**2 + 3*d + 22. Let t be n(m). Which is smaller: t or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/9 = -64.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.9999881 - -30. What is j rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 38*t - 725. Let w be n(16). Which is smaller: w or 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.032, 0.3, 0, -4?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 631990 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*o + 11*o + 13*o + 26*o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 68553968 to the power of 1\/2, to the nearest integer?\nAnswer: 8280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.4 (b) 3 (c) 0 (d) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/7 + 2336*w\/7 - 341056\/7.\nAnswer: -4*(w - 292)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 + -25.8. Let i = y - 69.199993344. Round i to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/(357\/34)*1. Sort 19, -1, 4, z in ascending order.\nAnswer: -1, z, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148 - 139. Let n(b) = 11 - y*b - 15*b + 37*b + 5 - 14*b. Give n(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 = 4. Let h(x) = 23*x**2 + x - 1. Let q be h(o). Let v = -2 + q. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1 = 4*i. Let n(x) = x**2 + x - 1. Let v(t) = -7*t**2 + 18*t - 20. Let r(g) = -6*n(g) - v(g). Let d be r(23). Which is smaller: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Let w = 0.056 + 0.944. Which is the nearest to w? (a) 0.4 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (55\/7370*134)\/(4\/(304*1))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1318020914?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/19 - 20284*n\/19 + 40576\/19.\nAnswer: -2*(n - 2)*(n + 10144)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 87*n**2 - 59*n + 6. Does 58 divide x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -128 - 125 - 4*q + 229 in the form g*q + t and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 1 - -4*1. Find the second derivative of 0*p - 6*p + o*p + 2*p**2 wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 2*n = 7 - 8, u - 8 = 3*n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -8 + 0 + ((-435)\/(-45) - 2).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 27\/2*t**2 - 11 - 3\/4*t**4 - 15*t - 3*t**3. Solve q(d) = 0 for d.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4144*s**5 - 75*s**3 + 4149*s**5 + 9*s**4 + s**4.\nAnswer: 5*s**3*(s - 3)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (45\/(-4))\/(-5) + 3\/(-12). Let y(n) = 3*n**2 + 30 - 54 - 5*n**g + 28 + n**3. Let f be 3\/5*1*5. What is y(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = -4*l. Let z be l\/10 + 8\/45. Let d = -0.1 - 0.1. Sort d, z, 0.2.\nAnswer: z, d, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44 - 6*j**2 - 2*j - 1324*j**3 + 1322*j**3 - 26*j**2 - 12 wrt j.\nAnswer: -12*j - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, -1\/6, -97.9 in increasing order.\nAnswer: -97.9, -8, -1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4681981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/5)\/(34\/156740). Let c = w - -2141. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.2 (c) 71.89 (d) -3 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2083, 2076, 2069?\n\"Answer: -7*h + 2090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, q: 2}. What is prob of sequence qnq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1. Let v(m) = m**3 + m**2 - 2*m + 3. Let y(r) = v(r) - 6*z(r). Let p be y(-2). Let i = 1 + p. Which is the nearest to -1? (a) 0.5 (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275 and 396?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + -0.36. Let i = 0.79 - 0.7. Let o = -0.293 - -0.093. Put o, i, l in increasing order.\nAnswer: l, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(10\/1))\/((-54)\/60)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w + 2*w + 2*w + (1 - 13 + 4)*(9*w - w + 0*w) + 8*w + w + 6*w + 17 - 17 + 11*w.\nAnswer: -39*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 3*d = 3*d + 162 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60368 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 835.839 - -1.161. Let h = u - 837.00367. Round h to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/3)\/g**(-3))\/(g\/(g*g**3*g)*g**(1\/2)))\/((g**(-1)\/g)**(-2\/113)*g**(-4)\/(g**5\/g)) assuming g is positive.\nAnswer: g**(9581\/678)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*d - 2*d - 166162 = -202*d. What is d rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, -3, -16\/177?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1869, -1325, -781?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3, -55, 4, 2\/73, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4692 and 2737?\nAnswer: 32844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 - 325 + 222*i**2 + 81 + 81 + 78.\nAnswer: 222*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1021100 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -31 - 21. Let y = 16 - c. Suppose 4*g = -20, -4*p + 270 = -y*g + g. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -862408855*s + 55740254 wrt s.\nAnswer: -862408855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 3*r - 13. Suppose 0 = 4*c, 4*u - 4*c + 13 = -11. Let g be v(u). Solve g*x = 3*q - 7*q - 1, -2*q = -x + 11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -422995 and -17.\nAnswer: -423012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7524415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5700*m - 56994. Determine v(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -391246?\nAnswer: -391246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.59? (a) -3 (b) 4 (c) 0.1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13889\/(-14820) + 135\/20 + -6 and -137\/660.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 116 = 4. Let t = 24 + a. Suppose 8*p - 12*p + 512 = t. Does 32 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1077 - 771 = -88*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmqmqqqmkqmkqmqm.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = -4*t - 4*v, 3*v = -6. Let b be 22*(-3)\/24 - t. Let d be -1*(-1)\/(1\/2). Put b, d, 5\/6 in ascending order.\nAnswer: b, 5\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67.1*5071\nAnswer: 340264.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 977, -6, 2, -2 in increasing order.\nAnswer: -6, -2, 2, 977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.05286\nAnswer: 0.10572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 64 + (15 - 42) - 5\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137 - -135. Suppose 2*c + 2 - 10 = 0. Let j be (-12)\/c - (-1 + l). Let z(s) = s**2 + s - 12. Calculate z(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/(-180)*(-106)\/(-12) and 77\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 549057, 549022, 548965, 548886, 548785?\n\"Answer: -11*q**2 - 2*q + 549070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -243 - -243. Let p(z) be the third derivative of t + 0*z**4 + 1\/20*z**5 + 0*z**3 + 0*z - 1\/10*z**6 + 4*z**2. Factor p(v).\nAnswer: -3*v**2*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -10 - -5 - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7065*z - 2548 = 6985*z + 2652 for z.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002696749 rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 432?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23006146 to the nearest integer?\nAnswer: 4796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 58a4a (base 13) in base 3?\nAnswer: 22020101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqw when four letters picked without replacement from qqqqqqwqqqqqqqwqwqqq.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -150 - -260. Suppose -2*k - 3*k + x = 0. Suppose -3*p = -k - 8. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-15) + (-192)\/(-30). Suppose -x + a = -7*x. Let h be x + 5\/5 + 4. What is the highest common divisor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225528385*d**2\/4 - 112764190*d - 5 = 0 for d.\nAnswer: -2\/45105677, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 8533188 and 8533188 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1603*k = 799*k + 798*k - 138 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086928 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l - 21. Let q be d(-5). Suppose -u = -p + 11, -p - 4*u = -7 - q. Does 5 divide 348\/p - (-7)\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 2:08 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*((-26)\/65 - (-1)\/((-40)\/24)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 5 + 4 - 18*l to the form h*l + s and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.5 + 8. Let b = -1.588 - 0.212. Suppose 0 = 2*q - 6*q - 12. Sort s, b, q, -3\/5.\nAnswer: q, b, -3\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3430114 (base 5) in base 2?\nAnswer: 1110111101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 291363, 582915, 874471, 1166031, 1457595, 1749163?\n\"Answer: 2*y**2 + 291546*y - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 655*r = 643*r + 107 + 1 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -1, -2\/9, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587410 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 33. Let c = -5 + m. Find the second derivative of -19*l**2 - 11*l**c - 20*l**2 + 39*l**2 + 6*l wrt l.\nAnswer: -66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 266*g**3 + 5*g**2 - 5*g - 5. Let x(s) = -133*s**3 - 3*s**2 + 3*s + 3. Give 3*j(p) + 5*x(p).\nAnswer: 133*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*q - 53 + 7 + 19 - 45 - 32 as z*q + k and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/((p**(-9)*p)\/p))\/p**(-19)*(p\/(p*p\/(p\/(p\/(p\/p**1)))*p))\/(p*p*p**(-1\/10)*p*p*p) assuming p is positive.\nAnswer: p**(231\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 164019121?\nAnswer: 984114726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -778 + 1451. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m - 615*m**2 + 795*m**2 + 9*m + 3*m**2 + 3*m - 3*m + (2*m**2 - 4*m**2 + m**2)*(2 - 5 + 2) + 2*m - 2*m - 2*m**2.\nAnswer: 182*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (3 - (2 + 1)) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/10 (b) -5 (c) -4 (d) -2 (e) -0.3 (f) 155\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkdqz. Give prob of picking 1 z and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:16 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 28. Suppose -2*b + 47 - a = -3*q, -12 = -2*b - 3*q. Let s = b + -5. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjc when three letters picked without replacement from ciaidjdcsiiddai.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*f**3 + f - 48*f**3 + 2*f - 3*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 718.67*-0.016.\nAnswer: -11.49872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*6*(1*3*sqrt(99) - (sqrt(99) + -1 + sqrt(99) + 4))**2*3.\nAnswer: -972*sqrt(11) + 5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-158)\/1185 + (-4067)\/(-15) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -1. Solve -w = 5*k + 4 - p, -18 = -3*k + 2*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n + 64. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/3 + 121756*v**3\/3 - 121760*v**2 + 365284*v\/3 - 121762\/3.\nAnswer: 2*(v - 1)**3*(v + 60881)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1)\/(-5) - 45\/75.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023 rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-7)\/1*1. Let x = q + 5. Let u = 3 - x. Solve 5*s + 2*a = 35, 5*s - 21 = -u*a + 29 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z**2\/z))\/(z**(-5)\/z)*(z**(2\/3)*z)**2*(z*z**(2\/7))**(-12)\/(z*z**(-1)*z)**(7\/2) assuming z is positive.\nAnswer: z**(-319\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m - 14, 9*g + 2*m - 5*m = 6*g - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 12*f + 53. Let b be r(46). Calculate the greatest common divisor of 33 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.5 (c) -0.8 (d) -1\/3 (e) 4 (f) 12 (g) -0.049969\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 29 = -27 + 66, -8*s + 44 = 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*o - 4*p + 23, 5*p = -o + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 64 - 274 = -5*s, 4*u - 5*s - 190 = 0. Suppose 31*j - 483 = 44. What is the remainder when u is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151117 + 151117 + 3*b**3 - 7*b**2.\nAnswer: 3*b**3 - 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1746105, -3492209, -5238313, -6984417?\n\"Answer: -1746104*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 5:59 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 25 = 5*b, -3*b - n + 14 = 1. Suppose -5*k - 518 = r, -b*k + 6*k - 4*r + 216 = 0. Let y = 171 + k. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18397 is divided by 6110.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 + (-6 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1635*j**2 + 27931*j - 27931*j + 476*j**2.\nAnswer: -1159*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k**2 + 2429 - 13*k**2 + 19*k**2 in the form t*k**2 + q + c*k and give q.\nAnswer: 2429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 10*n + 14. Calculate y(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.45, 4, -30, -5?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 243\/72 + 8 + -9\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e6 (base 16) to base 9.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3, -33 = -5*u - 2*d + 23. Find the common denominator of (-128)\/70 + (-1 + u - 8) and 37\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 62 = 39*y. Which is the closest to y? (a) -2\/7 (b) -3 (c) 28 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/37 + 94\/1739\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + o + 1. Let f(h) = -4*h**2 - 5*h + 1. Let l(z) = f(z) - 3*y(z). Let d be l(-7). Solve -2*i - 3*i = d*w - 25, -3*i + 15 = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/546 and 61\/28.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11008 is divided by 2677.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 + 1039.68?\nAnswer: 891.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - 485*i**3 + 2*i**2 + i + 2*i**4 + 88 - 87 + 0*i**2 in the form y*i + h*i**3 + r + f*i**4 + k*i**2 and give h.\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 286415540 a multiple of 1838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + (-3289)\/(-667)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200 + -198. Differentiate -k - t + 5 + 16*t**4 + 2*t**4 wrt t.\nAnswer: 72*t**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 55 + 8 + 0 + -23 + -18 + 36.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 = -t. Suppose -o - o - t*p = -1, -o = -5*p - 7. Suppose 35 = o*u + 3*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3990000 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.07 + -9. What is l rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4846615, 4846616, 4846617, 4846618, 4846619?\n\"Answer: z + 4846614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2. Suppose -87 = -5*j + o, d = -j - 2*j - o + 57. What is the smallest common multiple of (-18)\/(-2) + -3*1 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/1099 > 2.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -1\/9*i**3 + 0 + 1\/3*i**2 - 1\/10*i**5 - 5\/18*i**4 - 8*i. Factor m(p).\nAnswer: -2*(p + 1)**2*(3*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388272541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43430*z**3 - 734*z**3 - 46620*z**3.\nAnswer: -90784*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*t + 3 + 7, -2*t + 10 = 2*y. Let w(u) = -294*u + 2354. Let b be w(8). Solve 3*n + 4 = c, n + b*c - 6*c = -y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 9:37 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {m: 5, u: 13}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3111*s + 7900*s + 2 - 2 + 10652*s.\nAnswer: 21663*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/2*20*-1. Suppose -n - 2*w + 11 = 0, -3*w - w = -q. What is the third smallest value in n, -1\/8, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 376, 752, 1130, 1510, 1892, 2276?\n\"Answer: c**2 + 373*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 7963886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 57 - 1?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000729 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253470 and 4080.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/16 - (-972)\/288. Suppose -2*s + 1199 = 3*q, f*s = 4*q - 0*q - 1576. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -585 - -1?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 7:53 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1817 is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 7 + 26 + 9 + 44*z**2 in the form h + k*z**2 + y*z and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25064 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2989*o**4 + o**2 - 2*o - 503 wrt o?\nAnswer: -71736*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 4.4 (c) 9.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -502, -1913, -4254, -7519, -11702, -16797, -22798, -29699?\n\"Answer: y**3 - 471*y**2 - 5*y - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -34. Let u(y) = -y**3 - 6*y**2 - 3*y - 2. Let p be u(-7). Let z = m + p. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/4 + 3*o.\nAnswer: -3*o*(o - 2)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6 = 5*y, 3*y - 5 = -0*y - j. Suppose y*l + 96 = 32. Let a = -29 - l. Solve 3*g - a*d = -7*d - 11, -d + 3 = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841 is divided by 402?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -367 - -257. Let t = 113 + p. Solve -4*j + 4*o = 8, -t*j + 5*o - 13 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -384\/5 - -77. Let k = -1.99 - -2. Let r = -0.07275 + 0.17275. What is the nearest to r in 1\/2, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 10*i - 6. Let k(y) = -8*y - y**3 + y**2 + 0*y**3 + 8*y**i. Give k(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**3\/g)\/g))**(-5\/4)\/(g**(1\/6))**(-19) assuming g is positive.\nAnswer: g**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 314 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879635 is divided by 48.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/30*(-25470)\/(-1132).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -10. Let i be v\/(-3) + 1\/(-3). Let h = -14 - -18. What is the smallest value in h, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5090037*s**3 - 17*s**2 + 19184*s wrt s.\nAnswer: 30540222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -264*j - 5543. Let v be r(-21). Solve 4*x + 11 - v = -2*a, -5*x = 3*a + 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1109 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92054, 184096, 276138, 368180, 460222, 552264?\nAnswer: 644306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z - 22. Let t be d(-11). Solve p - 4*p + 6 = t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -63 + -4?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2246 - 55*y - 8*y**2 - 2244 + 29*y**2)*(1 + 4 - 3).\nAnswer: 42*y**2 - 110*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13472730 divided by 270\nAnswer: 49899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -407 - -3665\/9. Put -39, 0.2, k in decreasing order.\nAnswer: k, 0.2, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6870249 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 = -h + 2*h, 3*t - 4*h - 5 = 0. Put 4, t, -10 in descending order.\nAnswer: 4, t, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 13. Let k be a(9). Solve k = 2*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104058 a multiple of 594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - s. Suppose -2 = 2*w - 6. Let y(k) = -21*k**2 + 24*k**w + k**3 + k + 2*k. Calculate -6*g(r) - 2*y(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8810129 to the power of 1\/2, to the nearest integer?\nAnswer: 2968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -361, -747, -1133, -1519, -1905?\n\"Answer: -386*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004505408 rounded to five dps?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*j**3 + 8*j**3 - 16*j**3)*(-21*j + 76*j + 30*j).\nAnswer: -1700*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566732983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45475053 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 84?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171543?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 5*i + 16. Let h be r(-6). Suppose 5*p = -4*b + h, -5 = -4*p - 2*b + 9. Solve 6 = 3*c + a, p*c - 5*a = -0*c - 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1923*b**3 - 2*b**2 - 5*b + 7. What is the thousands digit of d(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from pppsspvbpppppvbrkbv?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-24)*1312\/738?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-12))\/((1278\/(-24))\/213)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 323*c + 1. Let q(o) = 28*o - 13*o - 16*o + 9 - 9. Give q(y(z)).\nAnswer: -323*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-511)\/(-7))\/(-1 + 0). Let l = -75 - x. Which is the biggest value? (a) -2\/5 (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5002.478 rounded to the nearest ten?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3*j)\/((j*(j**(2\/25)\/j)\/j)\/j)*(j\/j**(-6))\/((j*j**(1\/9)\/j)\/j))**(-27) assuming j is positive.\nAnswer: j**(-9321\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 257, 509, 759, 1007, 1253, 1497, 1739?\n\"Answer: -z**2 + 255*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.1 (b) 4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 5*z**2 + 7. Let v be u(4). Let x be ((-4)\/(-6))\/((-2)\/v + 0). What is the first derivative of o**3 - 46 + 4*o**3 - 4*o**x + 27 wrt o?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10437?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 3011218\nAnswer: 1204487.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 11329818 less than 11329819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 4 - 4)*(5 - 5 - g**3) + (0*g**5 + 8*g**5 - 2*g**5)*(-1 + 3 - 4).\nAnswer: -13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + 4*a - 5. Let i be q(2). Suppose -110 = -0*g + 5*g. What is the units digit of (g\/(-5))\/(3\/i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + -14 + (49 - 26)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 + 7*k - 6. Suppose 4*a = -2*l - 68, 0*l + 18 = -2*a + 3*l. Let d(q) = q**2 + 14*q - 11. Let w be d(a). What is the hundreds digit of f(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s + 3 = 0. Calculate the lowest common multiple of 2 and 0\/(-2) - (s + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24381, 48430, 72479, 96528, 120577, 144626?\n\"Answer: 24049*g + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1927114 or -1927110?\nAnswer: -1927114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 97 = x + 3*x, -4*r = 5*x - 53. What is the remainder when 185 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16530 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from {s: 6, t: 1, e: 1, b: 3, h: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4169800 rounded to the nearest ten thousand?\nAnswer: -4170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1792 and -0.61.\nAnswer: -1093.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - 2*x**3 - 2*x**3)*(x**2 + 0*x**2 + 0*x**2) + 156*x**5 - 81*x**5 + 403*x**5.\nAnswer: 476*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 349735 and 1958516?\nAnswer: 9792580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 3*n + 0*n)*(2 - 4 + 5)*(83 + 107 - 19).\nAnswer: 513*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101110011010111001010 (base 2) to base 7.\nAnswer: -42516556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -d + 15. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.391125 to the nearest integer.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2, -3, -8, 0, -2330 in ascending order.\nAnswer: -2330, -8, -5, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/9 - 44*z**2\/9 + 160*z\/9 + 512\/9.\nAnswer: 2*(z - 16)*(z - 8)*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5913850 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = h + 22*z, 3*z = -5*h - 833 + 807 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 284\/(-10)*(-9)\/((-63)\/(-35)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -13*k + 50. Solve -k*n - 22 = -n - 4*c, -n + 4 = c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8830089, 8830090, 8830091, 8830092, 8830093?\nAnswer: 8830094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2. Let c be (-5)\/(15\/(-1))*135. Let s(b) = -c*b**2 - 14*b**2 - 24*b**2. Determine s(u(m)).\nAnswer: -332*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -i. Suppose -3*d - j = -5*j - 53, -d - i*j = -1. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3. Let f(x) = -x**3 + 7*x**2 + 5*x + 6. Let i be f(10). Let p = -243 - i. Let n(y) = 7*y**3 - 2*y**2 - y. Give p*n(k) + 6*t(k).\nAnswer: k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/25 - 6080\/(-51000). Which is the third smallest value? (a) -3 (b) -1 (c) s (d) 2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 385325.\nAnswer: -6\/385325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-14))\/(((-156)\/48)\/13).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-14 + 13 - (4 - 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*g + 280 = 286*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*1)**2 - sqrt(52)\/(sqrt(16)\/sqrt(4)) - -1*((sqrt(52)*-2)**2 - (sqrt(65)\/sqrt(5)*1 + sqrt(13))).\nAnswer: -3*sqrt(13) + 1261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -29. Suppose 0 = -3*v + h - 0. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 20*i**2. Let c(h) = 21*h**2. Suppose 4*y + 1 - 25 = 0. Determine y*w(n) - 5*c(n).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21897, 87578, 197047, 350304, 547349, 788182, 1072803?\nAnswer: 1401212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125 + i - 17*i**2 - 2*i**3 - 278 + 150 - 4*i**4 - 2*i**4 to d*i**3 + u*i**2 + s*i**4 + r*i + y and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 + -100. Which is the nearest to -1\/4? (a) 1\/2 (b) -5\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -33, -61, -97, -141?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 12:34 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 13*s - 3630. List the prime factors of s.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 32*m**2 + 17453*m + 158938. Determine v(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 181 - 1631\/9. Let s = j + -4\/9. Which is the second smallest value? (a) 6 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -2*b + 11, 5*x - 40 = 44*b - 39*b for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (30\/(-7))\/(7572\/(-1512) - -5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gckhf. What is prob of sequence ghf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 51 + (4 - (15 - 1 - (-60 - -73)))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1350.1 rounded to the nearest ten?\nAnswer: -1350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 1\/2 (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 101810287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78 * 1065.\nAnswer: 83070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*p + 2)*(p + 5*p**2 - p).\nAnswer: -15*p**3 + 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**4 + 550*j**3 - 15665*j**2 + 29700*j - 14580 = 0. Calculate j.\nAnswer: 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7391, 59072, 199361, 472562, 922979, 1594916, 2532677, 3780566?\nAnswer: 5382887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33887?\nAnswer: 7, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 5*h - 4*h)*(1291 + 860 + 231 - 460 + 814) to a*h + d and give a.\nAnswer: -2736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14243723 is divided by 2848737.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**6\/30 + 3*v**2 - 14*v. What is the first derivative of o(d) wrt d?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -248 + 455. What is the highest common divisor of 23 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 90460682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 64*f**7\/7 + 2*f**5\/5 + 2*f**3\/3 + 2*f - 220. What is the third derivative of r(g) wrt g?\nAnswer: 7680*g**3 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 904 and 6441.\nAnswer: 51528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u + 2. Suppose 5 = -3*p + 3*s + 2, -s - 11 = 5*p. Let q(r) = 21*r - 9. Calculate p*q(k) - 9*b(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 2. Put -3, -1, t in descending order.\nAnswer: -1, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29491600.\nAnswer: 2, 5, 17, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edxxedeeqxj. What is prob of sequence xxjd?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -84048583?\nAnswer: 84048583.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26631?\nAnswer: 3, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -102*(2\/(-5))\/(3\/5). Let w = f - 65. What is the tens digit of 87 + (w - -1 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t - 101. What is the remainder when 174 is divided by r(18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.28 - -1.88. Sort -14, -1\/9, f, -4.\nAnswer: -14, -4, f, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 311910378 and 1317?\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1732 + 187. Calculate the common denominator of 25\/33 and (5\/225)\/((-3)\/(o\/2)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 3 = 3*b, -x - b - 3 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.9, -113, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/29 (b) -2 (c) 3\/7 (d) 2\/5 (e) -0.09 (f) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -2. Suppose -h*l = -875980 + 7346250. Let y = l - -1944054. Round y to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 969494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 212*t - 3. Let u(j) = -428*j + 4. What is 5*g(v) + 3*u(v)?\nAnswer: -224*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/(-15*2\/(-20))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1741 - 1716. Calculate the remainder when 774 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002 - 0?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*s + 6*s. Suppose s*w = 30 + 30. Let z = -16 + 21. Calculate the highest common factor of w and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9050 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575943.\nAnswer: 3, 17, 23, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - l + 1)*(22*l - 30 + 30).\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 652 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 12*i**2 + 13*i + 2. Let d be n(13). Solve 0 = -d*p + 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(108))\/((sqrt(66)*-1)\/sqrt(11)))\/(-1*(-5*(sqrt(12)*3 + sqrt(12) + sqrt(12)) + sqrt(12))\/sqrt(2)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 211483 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25160 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {e: 3, h: 2, w: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (8 - 5) - 7 - 8\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 427318, 427805, 428292?\n\"Answer: 487*h + 426831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -696 - 4\/3*b**2 + 268\/3*b = 0?\nAnswer: 9, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3500.50323 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000150032 to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o - 3 = 34*o. Is 3 + o + 47\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 3. Let s be a(-2). Let x(c) = -2*c**3 - 5*c**2 + 4*c + 3. Let i be x(-4). Suppose 0*z = 2*z - 2, z = s*t - i. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 645.9 - -32.\nAnswer: 677.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 51\/9 - (13\/((-117)\/72))\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6aa2 + a?\nAnswer: -6a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2084*y - 1066*y - 1019*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2. Let c(k) = -142 - 143 - 8*k + 285. What is a(c(p))?\nAnswer: 256*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -40421.45 >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -10761320 to the nearest one hundred thousand.\nAnswer: -10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/9481520 and 5\/494688?\nAnswer: 56889120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 1. Let o(z) = 4*z**2 + z - 1. Let h be o(1). Let g be v(h). Find the second derivative of -g*w**4 + w**4 + 3*w**5 + 4*w**4 - 4*w wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 683 - 663. Let h be -8*8\/(-10 - -2). Solve h*n - c = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -29*s - 2. Let b(u) = 2 - 1650916*u - 2 + 1650912*u. Determine b(q(f)).\nAnswer: 116*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {j: 16, e: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 8714.23.\nAnswer: -17428.46","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + -241225?\nAnswer: -241253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/50 - (-26 + 73340\/2800).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2bc02 (base 14) to base 2.\nAnswer: 11010101100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -7*w + 9. Let g(k) be the second derivative of 0*k**2 - 1\/10*k**5 - k + 0*k**4 + 1\/3*k**w + 0. What is the second derivative of g(y) wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629*u + 633*u - 176 = 0. Suppose -b + 0*p + 3*p = -39, 117 = 3*b + 5*p. Let a = u - b. Solve -a*w = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.3 + -8. Let r = -453 + 649. Let s = r - 171. Which is the closest to s? (a) m (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211591264421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times -2539\nAnswer: -3046.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, 128, 251, 396, 569, 776?\n\"Answer: a**3 + 2*a**2 + 94*a - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/9 and -16\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-44)\/(-4))\/22*0\/1. Solve 3*r + t + 19 = 6*t, 4*r - 5*t + 17 = h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20274, -81086, -182470, -324426, -506954, -730054, -993726?\n\"Answer: -20286*p**2 + 46*p - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-21 + 5)) + -8 + 7 + -39\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.608.\nAnswer: 1.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179 - 47 = 33*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522423 (base 8) to base 7.\nAnswer: 1321224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-438)\/1022)\/((-2)\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76874532 times -0.3?\nAnswer: -23062359.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 1513067?\nAnswer: 1513064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 54941250 and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152316140.\nAnswer: 2, 5, 7615807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kls when three letters picked without replacement from ulsarlrk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 3*sqrt(1568)*1)*-5)**2*-5.\nAnswer: -1765125 + 63000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 12:57 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 674879.8 years in decades?\nAnswer: 67487.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.74 - -37.26. Let p = v - 43.5. Let l = 0.9 - p. Round l to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36, 93, 150?\n\"Answer: 57*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/13)\/z*z*(z*(z\/(z\/(z\/(z*z**(-4\/9))*z))*z)\/z)\/z)\/(z**(-1)*z\/(z*z\/(z\/(z**(1\/2)\/z))*z)))**(-3\/7) assuming z is positive.\nAnswer: z**(-101\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -118 - -116. Let q be v + 36*6\/105. Suppose -3*r = -r. Which is greater: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 128*h**2 - 8*h - 116*h**2 - 7*h + 6 - 3*h**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -22*i + 4. Let s be r(-1). What is the highest common divisor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 4*b**2 + 0*b**2 + (4*b**2 - b**2 - 4*b**2)*(-2 + 4 - 1))*(0 + 0 + 3*b).\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41450, 332267, 1121660, 2658917, 5193326, 8974175, 14250752?\n\"Answer: 41548*j**3 - 19*j - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67811 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547380808?\nAnswer: 2, 13, 277, 19001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) 3\/7 (c) -4\/11 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*a - 554*a = 11*z + 217, -2*a = -5*z - 102 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6383 and 2769334763.\nAnswer: 6383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19390.932 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/2416 and -121\/15600.\nAnswer: 2355600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*q + 663*q + 541*q - 11*q - 1 as x + y*q and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 345 = 39*g - 40*g, 718 = 2*g + 3*v. Let x = g + -363. Solve 2*p + 8 = -4*c + p, 0 = -x*c + 5*p - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -256.4 - -256. Which is smaller: 11.2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-78) - 5\/(-15). Let x = 10 + -5. Let m = -0.665 - -0.765. Which is the third smallest value? (a) m (b) r (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62*j**2 - 50145*j - 31455893 wrt j.\nAnswer: -124*j - 50145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35 - 2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -651.\nAnswer: -325.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(6)*-5*-4)\/sqrt(3).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 216177 - 118897417\/550. Let a = 3\/50 - i. Factor -2\/11*k**5 + 0 + a*k**3 - 2\/11*k**2 + 2\/11*k**4 + 0*k.\nAnswer: -2*k**2*(k - 1)**2*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4235)\/(-7260)*10\/(-7)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 1\/42*t**7 + 0*t**5 - 19\/6*t**3 + 0*t**4 + 0 + 0*t + 34*t**2 + 0*t**6. What is the derivative of q(a) wrt a?\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2500)\/(-35))\/(-1) + (440\/35)\/(-22)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 112 = 17. Suppose p + 4*y = -9, -p + 2*y = -3*p - 24. Calculate the remainder when f is divided by (-13)\/(p\/12) - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24437 = -2*d - q, 36653 = 2*d + d + 4*q. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32932\/5 + 6587. Which is the second biggest value? (a) n (b) 2856 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 9*q**2 + 6*q + 19. Let x be j(8). Which is the closest to 0.1? (a) x (b) -4 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q**2 - 19*q**2 + 53*q**2 - 18*q**2.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825067193.\nAnswer: 825067193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 690*t**3 + 846 wrt t?\nAnswer: 2070*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 - 489*g - 92)*(2*g + 2*g**4 - 2*g) + (-g + 0*g + 2*g)*(2*g**4 + 3*g**2 - 3*g**2).\nAnswer: -976*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**5 - 50*p**3 + 175*p**2 + 1507*p + 7. Let l(b) = -7*b**5 + b**4 - 45*b**3 + 175*b**2 + 1508*b + 8. Let h(g) = 8*k(g) - 7*l(g). Factor h(f).\nAnswer: f*(f - 12)*(f - 5)*(f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = t - 0, -3*t + 356 = s. Let z = s - 337. Let a = 1 - 1. Solve -3*b + z*b - 5 = a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 2*h**2 - 3*h + 0*h + 2*h. Let j(u) = -u + 3*u + 7*u - 8*u + 2*u**2 - 7*u**2. Calculate -2*j(b) - 3*o(b).\nAnswer: -2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -4.2. Let u = i - 5. Which is the smallest value? (a) 0.5 (b) u (c) -1\/11 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 0.0301?\nAnswer: 0.4699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/(-73)*((-9)\/(-2))\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -312*q + 1895. Calculate g(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6756*i**2*z**2 + 20*i**2*z - 10*i**2 - 15387*i wrt z.\nAnswer: 13512*i**2*z + 20*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 53 + 60 - 3*g**2 + 220231*g**3 - 220230*g**3 to z + h*g + i*g**2 + t*g**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 288*r**3 - r**2. Let k = -18 - -19. Is j(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/78 + (-2)\/(-26)*-51348. What is a rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {n: 3, h: 4, k: 7}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2 + 2)*(-4 + 1 + 0) - f + 0 + 2*f - 1.\nAnswer: -5*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f**2 - 158*f - 572. What is z(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1279 + 1422. What is the highest common divisor of 121 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*m = -20*z - 78, -5*z - 10 = -5*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 14 (b) -7 (c) -0.6 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 5:34 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 21*d + 27. Let r(i) = -11*i - 14. Let k(n) = 6*c(n) + 11*r(n). Let j(v) = 3*v + 5. Give 8*j(b) - 5*k(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 229724768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5 - 807*u**4 - 170163*u**3 - 2913961*u**2 + 7035264*u + 9779868 = 0 for u.\nAnswer: -394, -21, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 10*q**2 + 13*q - 23. Determine m(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -2\/3, -0.1, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -470, -1830, -3190?\n\"Answer: -1360*z + 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 30 = -5*l, -3*l - 22 - 1 = 4*s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**3\/3 - 5. Let u be 1\/2 - (-6)\/4. Let j(w) = 2*w**2 - w**2 - 4*w**u. What is j(d(x))?\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.77 * -4.54244\nAnswer: 8.0401188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*j - 1363238 - 1724057 = -49255. What is the greatest common divisor of 58 and j?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 117 + -32 - 0\/(-1 + 0). Let r = m - -3. Let b(u) = 3*u - 4. Let d be b(5). What is the greatest common divisor of r and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -687 + 693. What is the greatest common divisor of a and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12*t**3 + 2*t + 1. Let b be v(-1). Suppose -19 = -4*l + 3*x, 4*x = 1 + b. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + ((-2 - -2) + -1 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*h + 10, 0*n - 16 = -2*h - 3*n. Let q(l) = l**2 + 7*l + 4. Let s be q(-6). Which is the biggest value? (a) s (b) h (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0) + 1 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17030172 + -4?\nAnswer: -17030176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 172599 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 10\/101 (b) -0.869 (c) -4 (d) 19 (e) 0.2 (f) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 250403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -320 + 319.9999946. What is i rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/5)*l*l\/(l\/l**(4\/9))*l**(-6)*l**4*(l\/(l\/(l*l*l\/(l**(3\/7)*l)*l))*l*l**(-9))**41 assuming l is positive.\nAnswer: l**(-70096\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/3)\/(u*u\/(u\/u**(-4\/5)))*(u*u**1)**(5\/9)*u**(-1\/4)\/u*u*u\/(u*u**(-3)*u)*u*(u**2\/u)\/u*u*u*u**(-1\/5) assuming u is positive.\nAnswer: u**(863\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -580*d**3\/3 + 6. Let g(o) be the third derivative of o**5\/30 - 325*o**2 + 1. Determine u(g(k)).\nAnswer: -2320*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-3)\/((-48)\/(-100)). Let q = p + 17. What is the highest common divisor of q and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*a**3 - 8*a**2 + 2 wrt a?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*j - 69*j - 64*j**2 - 62*j.\nAnswer: -64*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.07 (b) 5 (c) 3 (d) 1\/3 (e) 9 (f) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v + 167. Suppose 0 = -0*a + 2*a + 54. Let h be j(a). Solve 2*l = h*n - 12, -l + 7 = 4*n - 0*l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*u + 27*u + 31*u + 39 = 0. Let -4\/3*y**u - 2 + 8\/3*y**2 - 2\/3*y**4 + 4\/3*y = 0. What is y?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 511.\nAnswer: 4599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 996849 and 126.\nAnswer: 1993698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*g**2*t**2 + 6*g**2*t - g*t**4 - t**3 - 2*t + 1 wrt t?\nAnswer: 44*g**2 - 12*g*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*f**3*s**2 + 11*f**3*s - 7*f**3 + 683*f**2*s**3 + 6*s wrt s.\nAnswer: -272*f**3 + 4098*f**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 - 3*y - 1. Let s(b) = 32*b**2 - 17*b + 260. Calculate 6*m(k) - s(k).\nAnswer: -2*k**2 - k - 266","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -502315 (base 7) to base 14.\nAnswer: -22d0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.1 + 2. Let y = 18.2 + -18. Let x = -1.1 + 0.8. Which is the closest to d? (a) x (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7693511597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-9)*(-3)\/(-1). Let c = s - -5. Let t be (c - 3) + (-2 - -28). Calculate the greatest common divisor of t and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 628491 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177 - -551. Suppose 717 = 3*z + 5*k, 3*z + k - x - 331 = 0. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116970 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 68232643 to the power of 1\/2, to the nearest integer?\nAnswer: 8260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(171) - (sqrt(171) + sqrt(171)*2 + sqrt(171))))\/((2*sqrt(108) - sqrt(108))\/sqrt(12)))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 17*q + 1. Let a(u) = 1. Determine 2*a(v) - 2*k(v).\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -106.8208?\nAnswer: -21.36416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -12*b + 25. Let c be g(2). Let w(k) = -174*k + 8. Let z be w(-8). Let h = -43394\/31 + z. Is h at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4 - 2. Suppose 0 = -u*o + q + 29, -11 - 14 = 5*q. What is the remainder when o is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2 + 18*l + 162. What are the prime factors of b(27)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d - 1444 + 1444 + 14*d + 3*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 29\/2, 2\/3, -0.028?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/((-15)\/6) + 1. Let b be (i\/(-4))\/(-1) - 1635\/(-300). Suppose 15 = 3*l - 0. Which is smaller: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -33920053.\nAnswer: -33920054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 10.4. Let h = 4.399971 + u. What is h rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 10*r - 77. What is the least common multiple of 4\/6*(0 - -6) and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 19 - (-60 + 50)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 443, 412, 331, 176, -77, -452, -973?\nAnswer: -1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - 7\/(28\/8). Suppose 7*n - 6 = d*n. Suppose b - 12 = -n*p, -3*p + 11 = 3*b - 5*b. Solve 6 = o + b*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 83 (b) -1\/4 (c) -2\/9 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/210)\/((-1)\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**5\/60 - 23*u**4\/24 + 37*u**3\/2 + 133*u**2. Let o be b(16). Put o, 0.02, 2, -3 in descending order.\nAnswer: 2, 0.02, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 52499385.\nAnswer: 157498155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 + (-2 - -2 - -3). Let v(x) = -6*x**2 - 3*x + 3. Let b(p) = -p**2 - 5 + 3*p**2 + 9*p**2 + 5*p. Let i(q) = l*v(q) - 3*b(q). What is i(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*y + 20 = 0, -4*t = -8*y + 3*y + 20. Let j be 3\/4*6\/(-9). Let r = 4 - 4.1. Which is the third biggest value? (a) j (b) r (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489959203?\nAnswer: 489959203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 22*a. Let w(f) be the first derivative of -f**3\/3 - 16. Calculate w(o(v)).\nAnswer: -484*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + p - 6. Let c be (18 + 1)*1 + p. Let o = 6 - -74. What is the greatest common factor of o and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -132c + 11c7?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k + 4 = 0. Let v be (-2 + k - -3)\/(-3). Let i = -1922\/13 - -148. What is the third smallest value in 2\/5, v, i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -l + 7, -3*l - 1 = -y + 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.01 - 18. Let t = -2.99 - k. Let x = 872 - 14822\/17. Which is the second smallest value? (a) x (b) -1\/15 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (73720\/(-38))\/(2\/(-16700)). Round f to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -188*i + 179*i - 72 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/15, 0.12, 9\/5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5635)\/(-175) + -32)\/9.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*h + 20. Let l = h + 8. What is the second derivative of 4*k + 4*k - l*k - 5*k - 4*k**3 wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3))**(2\/51)*(v\/(v*v**(1\/8)*v*v))\/((v**4*v)\/v))\/((v**(-1))**0*(v*v**(2\/3)\/v)\/(v*v**(-2\/7))) assuming v is positive.\nAnswer: v**(-51959\/8568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = 2. Suppose -2*z + 8 = 2, -5*v = -f*z + 44. Let w(k) be the first derivative of k**4\/4 + 2*k**3 - 11*k**2\/2 - 8*k - 2. What is w(v)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1047 + -1045. Which is the biggest value? (a) 29 (b) t (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.386\nAnswer: 0.1158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 5. Let f = -6 - -11. Let r be w(f). Let q(k) = -k**2 + 5*k + 5. Let o be q(r). Sort 0.3, 2\/11, o in decreasing order.\nAnswer: o, 0.3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23994741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -1051*h**6\/15 - 5*h**3\/6 + 9*h**2 + 15*h - 70. What is the second derivative of l(s) wrt s?\nAnswer: -25224*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 153856\/23 - 6691. What is the common denominator of m and 53\/3?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3300710.\nAnswer: 2, 5, 7, 61, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32781060?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(21)\/sqrt(3))**2 + -5 + ((-3*sqrt(77) + sqrt(77))\/sqrt(11))**2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 4, 1\/26, 0.3, 33732?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - x + 5*x - 16 = 0, 0 = 4*x - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**4 - 23*k**3 - 29*k**2 + 45*k - 18. Let v(r) = r**4 - 19*r**3 - 28*r**2 + 44*r - 18. Let t(p) = -6*v(p) + 5*w(p). What is m in t(m) = 0?\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*t - 688*t**2 - 272*t + 545*t.\nAnswer: -688*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 892505 rounded to the nearest one thousand?\nAnswer: 893000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 h when three letters picked without replacement from {t: 2, h: 5, d: 4}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6628*g - 46310 = 265206 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 831*m - 10296.\nAnswer: -3*(m + 13)*(m + 264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 909*l - 1728 + 3855 - 18489 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 7:44 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*a + 298 + 101. Find f, given that -10*f - 3 - 5*f + a + 3*f**2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*q - 23 + 63. Is 497 - 12\/4 - 3\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 3*i + 7, 5623*i + 41 = 5618*i - 4*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -2*j - 0*j. Suppose -j + 194 = -4*l. Let b = -13 - l. Calculate the greatest common factor of b and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t = -37*t + 18. Let o(f) = 9*f + 59. Let c be o(t). Solve -5*r = 10 - c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 140693.1598 - 72767.103. Let h = s - 67919.85680123. Let o = -6.2 + h. What is o rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 3830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 2 - (-11 + 9 + -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10, b: 10}. Give prob of sequence bbub.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 582 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - a - 8*a**3 + 5 + 9*a**3 - 6. Let n(d) = 34*d**3 - 4*d**2 - 4*d + 3. Let c(b) = -4*f(b) + n(b). Differentiate c(l) wrt l.\nAnswer: 90*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 17 + 8 = 2*b, 2*s = 2*b. Let r(a) = -6*a**3 + 2*a**2 + 2*a. Let x(m) = -13*m**3 + 5*m**2 + 5*m. What is b*r(t) - 2*x(t)?\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (1 - -51 - 6)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111002010 + 10021?\nAnswer: -110221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 125635 - 125634. Let x = -2.6 - -0.2. Let q = 0.4 + x. Which is the closest to 0? (a) 4 (b) h (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3910551549.\nAnswer: 3, 1303517183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 8:50 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wszzuscuzzwczzczzwu. What is prob of sequence usz?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/225 and 1653\/(-198) + -19 + 1055\/55?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 411.3616753 + 0.0713247. Let n = 411 - i. Round n to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 191 times 4\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 159 + b?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/42)\/((75\/250)\/((-14)\/(-20))). What is the closest to -2 in -3, p, 12, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:16 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1389 and 191?\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c9305 + -59?\nAnswer: -1c9360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t. Suppose 4*a - 8 = t, p + 3*a - 3 - 3 = 0. Let w be 4 + (p\/(-2) - 2). What is the third biggest value in -5, -3\/2, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.1503mg in grams?\nAnswer: 0.0981503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (197\/98)\/((-2)\/8) + (-138 - -146).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**2 + 544 - 299 - 245 + 251*j**3 to the form s*j**3 + m*j + p*j**2 + o and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 34. Suppose -2*u - 4*c = 102, 35 = -m*u - 2*c - 138. What is u rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 1200?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + sqrt(1584)).\nAnswer: -36*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(76) + 1 - sqrt(76) - ((sqrt(76) + 1)*5)**2)*6 - (5 + 2*(1 + sqrt(76))*-3)) + -5.\nAnswer: -11542 - 588*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhhvxhoh. What is prob of sequence hox?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2918 and 0.3207.\nAnswer: 0.09358026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, 0.4, 4, 8, 0.5, -101\/2, 3296?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 19 = 3*t, 11*m - 6*m = -4*t - 23. What is the units digit of 247560\/140 + 2\/m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22490.\nAnswer: 2, 5, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 2785434)*(5152\/140 + -37) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*h - 4*h - 26*h as g + t*h and give t.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) -0.6 (c) -1\/4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*v**3 + 108*v**3 + 112*v**3 + 49*v**3.\nAnswer: 400*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 - 146436*m**3 - 729528060*m**2 - 1297031347436*m - 783022017751056.\nAnswer: -4*(m + 1847)**3*(m + 31068)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -96*x - 1346. Give l(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.364436 rounded to two dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*p**3 - 32*p**3 - 10*p + 13*p - 29*p**3.\nAnswer: -3*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45 - -56?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91208 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2412909.\nAnswer: 3, 29789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 16) to base 4.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1340126541?\nAnswer: 3, 13, 17, 673769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n - 2*n**2)*(-1 - 3*n + 1)*(9*n - 12*n - 67*n).\nAnswer: -420*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/6*4\/(-5). Let b = j + 10. Suppose -4*z + 12 = -z. Calculate the least common multiple of z and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b - 10 = 2*q, 2*b = -4*q - 8. Let z be (0 - b) + 3\/9*3. Suppose -2 = a - z*a. Sort a, -0.9, 5.\nAnswer: -0.9, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/14 and 9\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -91, 5\/2, -2, 0.2, 0.3 in decreasing order.\nAnswer: 5\/2, 0.3, 0.2, -2, -4, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(448))*-2)**2 - (-4 + 0 + -4 + sqrt(7) + 0).\nAnswer: -257*sqrt(7) + 1864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/20 and -85\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w\/(((w\/((w\/(w\/(w**(-1)\/w)))\/w))\/w)\/w))**36*(w**(-2\/3))**(15\/11))**(2\/43) assuming w is positive.\nAnswer: w**(1564\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2)*(-4 + 6). Suppose 5 = -2*r + 5*y + 2, 5*r - 2*y - q = 0. Let s(h) = 4*h**3 - 3 - 5*h + 3 - 1 + 7*h. What is s(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -20 + (3 - 4) + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555*n - 492*n - 399*n - 371*n.\nAnswer: -1817*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 11. Let x be n(6). Let r be (-1 - -1) + 4 + (0 - 2). Suppose -2*d = -5*s - 13, -r*s - 28 = -14*d + 17*d. Which is smaller: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/(((-60)\/(-18))\/(-5)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 220 - 219. Solve -9*j + v = -17 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 1. Is 8\/6*(-111)\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*g**3 + 39*g**3 - 93*g**3.\nAnswer: -101*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 + 7689663815\nAnswer: 7689663815.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddzjsvjdddvddjjsddd. Give prob of picking 1 j and 2 v.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326 + 328 = 2*j, 4*d - 2*j = -30 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -355260 + -2?\nAnswer: -355262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + t - 2*t)*(0 + 451*t**2 + 284*t**2 + 0 + 90*t**2).\nAnswer: -5775*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/144*-44 + (-2)\/6. Let z = 5\/28 - -3\/28. What is the third smallest value in z, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p + 163 = 19107. What is the highest common divisor of p and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 - -2) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -11591\/1302?\nAnswer: -11591\/1302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uifqiquwqqwqv. Give prob of picking 1 i and 2 q.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 25. Suppose -z = -2*x + x. Suppose 5*s = -5*m + 35, -28 = -4*s + 2*m + 18. Calculate the least common multiple of s and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbeuktkrbrbkkbkbekb. What is prob of picking 1 t and 1 u?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -p - p + 21, 0 = -4*a - 2*p + 26. Let q be 1\/(-2)*(-5 - -3). What is the nearest to q in a, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**3\/3 - 2*m**2 - 4*m - 9. Give k(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.17 and -1902777612.\nAnswer: -1902777612.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101221122111 + 102?\nAnswer: 101221122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9994000 and 9000?\nAnswer: 89946000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/15)\/(632\/15010).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 54, -1\/6, 120?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*t. Let u be -1 + (-1)\/2*8. Sort u, 1, t in increasing order.\nAnswer: u, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/60*(-330)\/(-1188)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 3:45 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*h*r**4 - 380*h*r**3 + h*r - 762*h wrt r.\nAnswer: 132*h*r**2 - 2280*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666077.\nAnswer: 17, 39181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3498122723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/285 and 56\/3654405.\nAnswer: 69433695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 3:23 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3.1. Suppose 78*l - 88*l = -10. Which is the closest to -2\/5? (a) -5 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 529347 and 16010046.\nAnswer: 10803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 30.8. Is b > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 765 = -4*n. Let i = -130 - n. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 3*d + 24. Let o = d - -2. Calculate the smallest common multiple of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652074 is divided by 384.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 384017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 divided by -13?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 7*r = 4*z - 63880003, -5*z + 79849999 = r. What is z rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 66240 = 15*o. Round o to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, z: 1, k: 2, g: 9, n: 7}. What is prob of sequence kg?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14687134 divided by 7343567.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 + -38?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6*(0 - -3). Let c = 13 + l. What is the second derivative of 3*j**4 + c - 15 - 3*j wrt j?\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1836 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -334*h + 1339. What is p(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 - 2)*(2 - 9 + 3)*(2 + 4 - 5)*(22 + 4 - 49)*(0*n**2 - 5*n**2 + 4*n**2).\nAnswer: 92*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w - 21. Let v(l) = 26*l - 83. Let j(t) = 22*m(t) - 6*v(t). Let g be j(18). Solve -5*r + g = -5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10206430009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 2*u - 231 = 0. Let q = u - -142. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -148798, -44, 1, -4 in descending order.\nAnswer: 1, -4, -44, -148798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 5. Let s be k(-5). Suppose -4 - 6 = -s*a. Is 7\/9 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69 * 0.01.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, h: 12, k: 4}. Give prob of sequence hh.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 11:48 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 246*g**2 + 1899*g - 12. Determine c(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 9, -3 in decreasing order.\nAnswer: 9, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 25655784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + g - 8. Give t(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*k**2 - 68*k**2 - 271*k**2 + 43*k**2 - 16*k**2.\nAnswer: -419*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -29552.\nAnswer: 15\/29552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*h + 2507 - 1776 = 0 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/13920 and -51\/9280.\nAnswer: 27840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(1100)) - 1*sqrt(33)\/sqrt(3)*3) + 1.\nAnswer: -33*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 514.3401 to the nearest integer.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 604222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 180292.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-1\/3)*x))\/x)**(-4\/9)*(x\/(x\/(x\/x**(2\/7))*x))**16*((x\/(x*(x**(-5)\/x)\/x))\/x**(-4\/9))\/((x*x**4*x)\/(x*x**(-2))) assuming x is positive.\nAnswer: x**(-640\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*i = 30, 11 = 2*u - 7*i - 27. Solve -u*a = y - 15*a - 11, 0 = -2*y + a + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2478.992090518 plus -0.3?\nAnswer: 2478.692090518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 1 (c) 0.2 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.22 - -0.22. Let q = l - -18. Let h = -8.8 + q. Put -4\/5, -2\/3, h in increasing order.\nAnswer: -4\/5, -2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82647963 divided by -5.\nAnswer: -82647963\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68048351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -18 and 14190.97122449.\nAnswer: 14172.97122449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 218 - 79. Let f = 63 + -58. Suppose -f*w + v + 330 = 0, -2*v + 3*v - b = -2*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76848, -76867, -76884, -76899, -76912?\nAnswer: -76923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.62371162 to 2 decimal places.\nAnswer: -8.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 95845521?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3740 and 5060.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**4 - 197*x + 0*x**4 + 194*x + 6*x**3 to the form v*x**2 + t*x**4 + h + f*x**3 + p*x and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 814?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -15130515 less than or equal to -15130515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 3105 - (-468)\/(-78). What is the highest common factor of s and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t + 6*t)*(-5*t**2 + 3*t**2 + 0*t**2)*(5*t - 3*t - t).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 1382634.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-28)*(-2)\/(-10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3113600336?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-337 + 341)*(-2)\/15 and (-79)\/6 + (-2)\/4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2123 (base 5) to base 12.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2*3)\/(1 - 2). Let p(h) = h. Let r(k) = -5*k - 8. Let t(x) = -2*p(x) - r(x). Let o be t(s). Calculate the greatest common divisor of o and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -0.4300055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 50. Suppose 2*q = 3*z + 49, 5*z + 76 = -r*q + 3*q. Suppose -129 = -2*a + q. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 - 84\/(-147))\/((-1)\/(-5)) and -10\/1807?\nAnswer: 12649","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2. Let u = -14 + 16. Let g(t) be the second derivative of 0 + 0*t**3 + 3*t + 0*t**u + 1\/6*t**4. Calculate g(i(h)).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 28 + 10 = 2*y, -5*y = -3*i + 36. Let p be (112\/y)\/(((-42)\/(-48150))\/(-7)). What is p rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*p - 0*z + 5, 3*p - 4*z + 11 = 0. Suppose -12*i + 945 + p = 0. Is i <= 391\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(2 + (-5)\/3). Let z(a) = -a**2 - a + 497. Is z(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*c = 3*u - 308, 3*c = 2*u - 134. List the prime factors of u.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45300 or 271799\/6?\nAnswer: 45300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 162144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5130170 divided by 2565085?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -42. Which is the closest to 1? (a) -2\/3 (b) u (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19175 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2 = 3*c. Let y = 22 + c. What is the smallest common multiple of 44 and y?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kskk when four letters picked without replacement from {k: 5, s: 7}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719119.\nAnswer: 719119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Let l(d) = 2*d**2 - 16*d - 99. Let w be l(12). Sort w, -1, n, 0.\nAnswer: w, -1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 207 = -191 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (124\/93)\/(1*174\/(-15)*(-70)\/(-84))\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/2*40\/14. Suppose 2*f + k = 0, 0 = 2*v + v + f - 4. Suppose 4*l = v*w + 2074, 2 - 12 = 5*w. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 16. Suppose o = -n + 9. Let b be (1 - n)\/(2 + -3). Solve 4*x = -4*d - 32, b = 6*x - x + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-2))\/((-40)\/(-10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 805*p = -19*p - 222*p - 21966 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-272)\/(-44) + -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 4, i: 2, q: 7, p: 4}. Give prob of sequence qzi.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6507677 and 502.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 271, 3 in descending order.\nAnswer: 271, 3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*o + 11684 = -157*o for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2669c35 (base 13) to base 15.\nAnswer: -10d79c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 14*b - 21790. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0625 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2420, 6, -6, -5, -3.\nAnswer: -2420, -6, -5, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 315\/8 - 303\/8. Let k(v) = v**3 + 6*v**2 + 4*v - 4. Let h be k(-5). Let a = 1\/16 - 11\/48. What is the biggest value in m, a, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**7\/630 - b**6\/60 - b**5\/60 + 13*b**4\/36 + 4*b**3\/3 - 427*b**2. What is g in y(g) = 0?\nAnswer: -4, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/16732534 and 151\/725166.\nAnswer: 451778418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491 = 7*b - 41. Suppose 78*m - 110 = b*m. Calculate the least common multiple of m and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -47, -13, 35, 97?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2901\/4 + -731. Find the common denominator of w and (1 - (-2)\/3)*1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.254 plus -257.6?\nAnswer: -257.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139*m**2*t + 2*m**2 + 2*m - 358*t with respect to m.\nAnswer: -278*m*t + 4*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/47836*1)\/2. Let y = w - 1303511\/239180. Calculate the common denominator of y and 143\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482981019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/22)*p**(-2\/19))**10)**(-9\/2) assuming p is positive.\nAnswer: p**(-585\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 46*t - 927. Determine o(35).\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415126 divided by -3?\nAnswer: -805042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 v when three letters picked without replacement from aamavyvaavn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1722.3 - -1639. Let s = t - -69.3. Which is the third biggest value? (a) -5 (b) 0.2 (c) 0.3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from myyluymmlymmu. Give prob of picking 1 y and 3 m.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.4 and 472565902.\nAnswer: 472565907.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 10*y - 48 = 0. Let q = y - -26. Suppose 3*n - 5*u - 43 = 0, 7*n + 3*u - 83 = q*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 293356, 586712, 880068, 1173424, 1466780?\n\"Answer: 293356*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**4 + 2*g - 3*g**3 + 3*g - 3*g + 25*g**4 - 17 + 2*g**3 as a*g**3 + c + v*g**2 + i*g + h*g**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/15 - (-161)\/140. What is the nearest to 2 in -0.4, n, 2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182, 227, 270, 311, 350, 387, 422?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/155 (b) 1\/2 (c) -0.4 (d) -24 (e) -0.011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 200557 minus 2170471056?\nAnswer: -2170270499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.44096 times -0.052\nAnswer: -0.07492992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 11:16 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -9*m - 1. Solve m*k + 4*k = -4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118798572 by 6.\nAnswer: -19799762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122 + -54. Let p be (x\/6)\/((-7)\/3). Are p and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 544?\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 277840261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from {l: 5, p: 2, g: 9, o: 1, v: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4197, 42\/17, -8, 0 in descending order.\nAnswer: 42\/17, 0, -8, -4197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 1.47, -5 in decreasing order.\nAnswer: 1.47, 1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*a - 94*a - 160*a + 1386 = -2232 for a.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2100798 to the nearest integer?\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294 and 7052619.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88\/153 - 6\/17. Suppose 0 = -4*r - 3*q + 9, -q - 4*q = 3*r - 4. Let j be r - (10\/(-8) + 4). Which is the closest to j? (a) 0.1 (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -244, -394, -580, -814?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 6*n - 3*k, n + 5*k = 4*k - 1. Solve 4*p + n*z = -6, 11*z = 4*p + 14*z + 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5450 + -2\nAnswer: 5448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.056 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -232108.4 rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 27183843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 1\/180*c**6 - 2*c**2 - 1\/18*c**4 - 1\/90*c**5 + 0*c + 0 + 0*c**3. Factor u(r).\nAnswer: 2*r*(r - 2)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219849, 439697, 659545, 879393, 1099241, 1319089?\nAnswer: 1538937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/73370 and 89\/20240?\nAnswer: 586960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2341.23129958 - -2344.9313. Let f = 3.7 - d. Round f to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 11*k = 3*l + 8, -26 = -4*l - 2*k. Solve 4*z + 0*o = -l*o + 24, 4*o = 3*z - 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 10:37 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 73606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 3996709044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/96 and 149\/120?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -375 + 27543361?\nAnswer: 27542764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -715 divided by -13\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, c: 4, s: 8, e: 1}. Give prob of picking 1 c and 2 s.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 2*v + 4. Let s be i(5). Suppose -3*d + s = 2*j, 3*d - 40 = -5*j - 2*d. What is the second derivative of 2*o**5 + o + 5*o + o**j - o wrt o?\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 206*y - 901. Let b be s(-5). Solve -25 + b = -5*i - 3*k, -3*i - 2*k = -13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 101\/4 and 24 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -5. Solve -2*h + z = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(30*v**3 + 15*v**3 + 9*v**3) + 2*v**3 - 17*v**3 + 35*v**3 + 5*v**3 - 3*v**3 - 3*v**3 + (v**2 + 4*v - 4*v)*(-4*v + 0*v + 3*v).\nAnswer: 72*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/5 or -4?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6869 + -4889. List the prime factors of s.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*b + 5*r + 30 = 83*b, -4*b - 2*r - 28 = 0. Is b greater than or equal to -124\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/8, -3, -2 in decreasing order.\nAnswer: 1\/8, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12057.\nAnswer: 3, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*y + 2361 - 2361 to b + o*y and give o.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one fifths of a hour?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77976)\/(-798)*(-28)\/(-252))\/(1\/7*-1)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -16.1\nAnswer: -6.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -51*u**3 - 1926506*u**2 - 1208773*u - 188870 = 0. What is u?\nAnswer: -37774, -1\/3, -5\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28706591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 44 = -5*i + 9*i, -62 = 6*i + 5*d for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4114 <= 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1300 + d?\nAnswer: 130d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/(-9))\/((-6)\/9). Let k = 2 + -1. Which is the biggest value? (a) s (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20062 is divided by 1630?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62207 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -31e6b (base 15) to base 3\nAnswer: -22001102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 44*y**2 + 59*y + 681. Let f be i(-43). Put 4, 14, -3, f in increasing order.\nAnswer: f, -3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + 3103011?\nAnswer: 3102230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbjbcbmccpbbcccu. Give prob of sequence pj.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k = 1543 + 1033. Let v = k + -103. Solve 0*z = -v*z + 45 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + (sqrt(11) - (sqrt(11)*-1 - sqrt(11))*-4))*6)**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from oooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8426 + -4901. What are the prime factors of p?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93249\/12 + 27\/108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 483560563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1506 (base 7) to base 14.\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*o - 186*o + 224*o + 28224 = 0. What is the lowest common multiple of 615 and o?\nAnswer: 39360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 9. Let a = -10 - g. Let u be ((-2)\/3)\/(a\/27). Solve -u*h + 15 = 0, -3*h + 6*h - 12 = 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - d + 338*d**2 + 6 - 3 - 3.\nAnswer: 338*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyfykyyfkffkf. Give prob of picking 2 y.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101110233 + 2?\nAnswer: -101110231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71049, -142234, -213419, -284604, -355789?\nAnswer: -426974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20043 = 127*q + 54*q - 28*q. What is the remainder when 365 is divided by q?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 - 93. Let a(o) = -2*o + 7. Let c be a(-3). Let f(x) = -19*x - c*x**3 + 20*x + 3 - 2. What is f(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 9 = -3*r + 3*t, 3*r + 3*t = 27 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 9. Let p be h(-11). Suppose -c + p*c = 1, -5*r - 5*c + 15 = 0. Solve y = -r*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70662716 divided by -92?\nAnswer: 768073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(2\/19)*b)**(-36)*b**(-2\/7)\/(b**11\/b) assuming b is positive.\nAnswer: b**(-16236\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-8) - (-18)\/4. Suppose -u*d = 27 - 87. Is (37\/2)\/(6\/d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/2 + 29\/6. Factor 16\/9*c**4 + 0 - v*c**3 - 2\/9*c**5 - 32\/9*c + 64\/9*c**2.\nAnswer: -2*c*(c - 2)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 138, 158, 178?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7*p + 5. Let z be y(7). Let j be z\/(-16) + (-2)\/(-8). Suppose -30 = -j*u + 15. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.21 (c) 15 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-10)*19390\/17451\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u + 4*b - 5, -3*u + 14 = -5*b. Suppose 5*o - 4199975 = 3*c, 5*c + 4804097 + 2195888 = u*o. Round c to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 2*g + 6. What is f(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 69006503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/1115 and 63\/20675?\nAnswer: 4610525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -29585, -23134, -12381, 2674, 22031, 45690?\n\"Answer: 2151*t**2 - 2*t - 31734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 993885.2 centimeters?\nAnswer: 9938852000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a kilometer in meters?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 354 divide 6410586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Suppose -8*n + 2*y + 14 = -6*n, -y = g*n - 13. Suppose -3*j + 85 = -m, j = 3*j + n*m - 38. Calculate the remainder when 78 is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Suppose -4*o + 0*o = -5*d + 8, -9 = -y*o. Let s(m) = 2*m - 2. Let j(q) = -4 + 2*q + 0*q + 1. Calculate d*j(g) - 5*s(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -31. Let q be n\/1 - (-1 + -1). Suppose -5*y = 0, -172 = -4*p - q*y + 284. Is 38 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4921*w**2 + 39491*w + 986. Determine g(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15.9 from 22.\nAnswer: 6.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.76 - -5. Let d = u + -0.04. Let x = 2304 - 2304. Which is the closest to x? (a) -1 (b) d (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 352187+-15\nAnswer: 352172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -146*v + 7. List the prime factors of m(-5).\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*g - 7*g. Let u be 5\/4 + (-1)\/4. Let x(m) = m. Let j be x(u). Are j and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40.689 - -0.289. Let k = 51.4 + o. Let m = 6 + -6.3. Is k bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5449 <= 5449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4023964 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 9:42 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 6*o**3 + 2*o**3)*(-3 + 3 - 2*o) + 4*o - 4*o + 9*o**4 + 60*o**2 + 10*o**4 - 13*o**4 + 5*o**4.\nAnswer: 15*o**4 + 60*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 1, e: 5, s: 5}. What is prob of picking 2 s and 1 e?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y + 4. Which is the second smallest value? (a) -2\/9 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.1 + 2.29. Let l = 86.81 + i. Let w = 102.8 - l. Round w to 0 decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555*l - 553*l - 46 = 0. Determine n, given that -25*n + l*n - 141 - 71*n - 3*n**2 - 6*n - 65*n = 0.\nAnswer: -47, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 + 174. Suppose 3*h + h = 12. Suppose -h*m + g = 12. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -1) + 8 + 4 + (5 - 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 - 117. Put -0.08, 1\/3, 0, t in increasing order.\nAnswer: t, -0.08, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31022 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1157852 and -306?\nAnswer: 1158158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -54, -137, 1\/2, -68?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*4*2)\/sqrt(11).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 69*d**2 - 195*d + 217. Give l(-66).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**2\/3 - 428*r\/3 - 45796\/3 = 0.\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0763893 millilitres in litres?\nAnswer: 0.0000763893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 810 and 40730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 2*h - 18. Let r be f(6). Let g be ((-12)\/r)\/((-1)\/2). Solve 0*b + 3*t + 9 = -b, 0 = -4*b + 4*t - g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/3621 and -79\/170.\nAnswer: 36210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 70529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.062798 (b) 5 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 - -84. Solve 4*z + k = -0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -296*k**3 + 2*k**2 - 20*k - 23. Give j(-1).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.26 + -4.44. Let f = i + 2.18. Which is the third biggest value? (a) 0 (b) -0.3 (c) -2\/3 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42839195 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 7*d**2 - 5*d - 17. What is c(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - -1796) + (-4)\/(-8)*-8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -5559.\nAnswer: 2\/5559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 3*l - 23 - 1 - 8.\nAnswer: 3*l - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 5\/8, -14, 0.15, 1919?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -68.1, 87?\nAnswer: -68.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 10*g - 2. Let w(p) = p**3 + 10*p**2 + 7*p - 10. Let f be w(-9). Is a(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.9 and 616?\nAnswer: 5482.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*l + 2*u, 0 = 4*l - 12*u + 16*u - 48. Suppose -6 = -2*n - 26. Let g = n + l. Solve -4*t + g = -10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 s when four letters picked without replacement from {x: 2, s: 7, q: 7, b: 2}?\nAnswer: 49\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n + 2 = 0. Let j be 3\/(n - (-2)\/(-2)). Let m = 3 - -9. Solve -j*h + 0*h = 4*s - 5, 3*s = 3*h - m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 555 (base 16) to base 10.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b**3 - b**2*r + 1989*b**2 + 2*b*r - 4*b + 19*r - 44 wrt b.\nAnswer: 30*b - 2*r + 3978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**2 - 11*h - 11. Let y(t) = -4*t**2 - 8*t - 9. Let g(m) = -5*n(m) + 6*y(m). Suppose -2*c = -5*c - 3. Let k be c\/2*(14 - 0). Calculate g(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402379160 a multiple of 3373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1)\/(32\/(-4))*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141274 is divided by 4036?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*y**2 - 68*y**2 - 31*y**2)*(-2*y - y + y).\nAnswer: 380*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -40*z + 35*z + 0 + 1 - 64*z. Is 32 a factor of s(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42, -266, -852, -1980, -3830, -6582, -10416, -15512?\n\"Answer: -30*t**3 - t**2 - 11*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 301859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 14, n: 5}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12135 + 24670. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*d**4 - 35*d**4 - 11 - 2*d**3 - 8 + 2*d**2 to h*d + x + r*d**3 + i*d**2 + s*d**4 and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.00693 - -9\nAnswer: 8.99307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*g - g**2 + 239*g - 947*g + 236*g + 233*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -29844624.\nAnswer: 5\/29844624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54563 (base 9) to base 10.\nAnswer: -36183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2832.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1836 = -5*s, 0 = -6*i + 2*i - 4*s + 2416. Suppose q = -2*a + 317, 958 = 5*q + 5*a - i. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 3310?\nAnswer: 39720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164*w - 22*w**2 - 164*w)*(0 + 2 + 0 + (2 - 5 + 1)*(-1 + 1 - 1)).\nAnswer: -88*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.2106347 to one dp.\nAnswer: -19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/703, 4, -179, 2 in increasing order.\nAnswer: -179, 2\/703, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/36 - 1\/6)*2. What is the smallest value in 1, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1943\/7 - 277. Let i be (1062\/396 - 3)*-10 - 3. Which is the closest to 0.1? (a) -1 (b) 1\/6 (c) i (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364596 and 621.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 3. Suppose 108 = 8*z + 10*z. Let y(k) = -k + z*k - 10*k + 3*k. Calculate y(l(p)).\nAnswer: 6*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 11:00 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2\/7 + 36*q\/7 + 2430\/7 = 0.\nAnswer: -27, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6972322 and 1047?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/11 + (-680)\/(-187)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -375.8779 + 376.2. Round n to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203935829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**2 + s - 2. Suppose 4 + 3 = 3*w - t, -25 = -5*t. Let m(v) be the first derivative of v + 15 + 0*v**2 - 1\/3*v**3. Determine w*m(y) + r(y).\nAnswer: 2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 7:32 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 79\/14 <= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 7*p + 46 = 24, a + p = 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 634359 and 155829?\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*v - 144 = -49*v. Let g = -42 - -46. Calculate the least common multiple of 18 and (-2)\/(-1) + (g - (0 + v)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91*a**5 - 52*a**5 + 32*a**3 + 57*a**2 + 25*a**2 + 2*a + 9*a wrt a.\nAnswer: 2340*a**2 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-17764.\nAnswer: -390808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 122*w - 6. Is n(-33) a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 12*b = -14*b + 1961, b = -y + 654. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 b when four letters picked without replacement from btutbubuutu.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2698\/57)\/((-2)\/(-9)). Let k = 300 - u. Calculate the remainder when k is divided by ((-4)\/(-10))\/((-2)\/(-90)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 157 + -437?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aooo. Give prob of sequence ooao.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 143330502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 869, 869, 857, 827, 773?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) 2\/271 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -630336169279075 - -0.2.\nAnswer: -630336169279074.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*x + 47, -25*b - x = -29*b + 17. Factor 1\/4*m**3 + 0 + 9\/2*m - 19\/4*m**b.\nAnswer: m*(m - 18)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.34. Let c = r + 0.86. Put -1, c, 2 in decreasing order.\nAnswer: 2, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -6*l - 3\/2*l**4 + 3*l**2 - 6 + 3\/2*l**3 + 3\/10*l**5. Factor i(v).\nAnswer: 3*(v - 2)**2*(v - 1)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 21*h = 184. Let n = h + 49. Let f = 0.3 - 0.1. Which is the nearest to n? (a) 3\/4 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 9*c - 8. Let b be a(8). Let z = 0 - b. Solve z*x + 2*x = -10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 455*b**5 - 101*b**4 + 439454*b**2 - 1 wrt b.\nAnswer: 27300*b**2 - 2424*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + -5 + (-20 - -18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*t - 190, 5*k = -t + 51 + 144. Let x be -1 + 11\/(44\/(-24)). Let i = k + x. What is i rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32495 is divided by 1803.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/3))**(-6)\/(r\/r**5*r**(-2)))\/(r**4*r**(-2\/9)\/r*r**(-3\/8)*r**1\/r) assuming r is positive.\nAnswer: r**(547\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -24, 1, -21.\nAnswer: -24, -21, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141848.\nAnswer: 2, 7, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 2*r = 12, 430*f - r = 437*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 51. Solve n - 1 = -b*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = o - 13*h - 25, 2*h + 8 = -2*o - h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l - l)*((3 + 0 - 4)*(4*l + l - 2*l) + (3 + 0 - 1)*(2*l - 3*l + 3*l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36630928.4 - 28294025.92. Let x = -8337049.4800061 + v. Let f = -147 - x. Round f to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*q**2 + 11*q**2 + 77*q**2 + 2*q - q + 73*q**2.\nAnswer: 124*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u + 0 + 2*u**2 + 7*u - 2. Let m be x(-4). What is the highest common factor of 70 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 321759.\nAnswer: 321759.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -123034419 divided by 13670491?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21756 by -111.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -41*j**2 + 0 + 0*j - 9 - 5*j + 11*j**2. Let d(p) = -15*p**2 - 2*p - 4. Let m(q) = -9*d(q) + 4*z(q). Let o(t) = t**2. Determine o(m(x)).\nAnswer: 225*x**4 - 60*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4666442483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l = -5. Let x be (6\/12)\/(l\/(-6)). Solve -3*m + x*j = -9 - 9, 2*m + 4*j = 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -149.\nAnswer: 5.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 375\/13, -2 in decreasing order.\nAnswer: 375\/13, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 14 - 4. Solve -2 = -z*i - 4*y, -4*i - 34 = -4*y - 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/8)\/((((c*c**(1\/6))\/c)\/c)\/c))\/(c**(-7\/5)\/(c*c**(-14))) assuming c is positive.\nAnswer: c**(-1187\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-11)*r*r)\/(r**(6\/13)*r))\/(r**20*r*r*r**(3\/5)*r))**(-11) assuming r is positive.\nAnswer: r**(23639\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, x: 5, a: 4}. Give prob of picking 2 a.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 588 and 777.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 2)*(-2*z**2 + 0*z**2 + 0*z**2)*(-3*z + 5*z + 0*z - z**3).\nAnswer: 12*z**5 - 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19 (b) -7 (c) -475\/8 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 19.9. Let m = -0.17 + -0.03. Let z = m + 0.7. What is the closest to 0 in 1\/7, z, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30073761 to the nearest integer?\nAnswer: 5484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*v + 6 = 100*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y + 97. Let x be l(-11). Let z be 1\/x - 704\/(-128). Let a = 8 + -6. Solve -z*n + a*n = -12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 112, 931, 3162, 7513, 14692, 25407?\n\"Answer: 118*f**3 - 2*f**2 - f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1982568 > -1982566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/57)\/((-6)\/108*-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -81. Suppose 2*q + 35 = -5*z, 0 = o*z - 8*z + 2*q. Put z, -1, -12, -6 in descending order.\nAnswer: -1, z, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 125 = z, 3*u + 45 = 2*z - 17. Let t(d) = -d**3 - 17*d**2 + 4*d + 53. Is t(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 8490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26030 and 5092?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 1361*a**6\/120 + a**5\/60 - 4*a**2. Let w be u(-1). Round w to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/96 and 75\/128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f - 8*f - 46 - 15. List the prime factors of z(-11).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44865 is divided by 2991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1) + (-3192)\/(-3024). What is the closest to 1 in 2, -0.2, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (1 - (5 - 13)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8\/9, -20, 1 in decreasing order.\nAnswer: 3, 1, 8\/9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from cccppcpc?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40660253 - -23?\nAnswer: -40660230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3312*i - 3326*i + 59738 = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i + 19 = -19*i - 3*j, -7*i = -12*i + 5*j + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) -41 (c) -2\/9 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - i - 1 - 137*i**2 + 149*i**2.\nAnswer: 12*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1647 in -1\/4, -2\/7, 58?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71699229 to the power of 1\/2, to the nearest integer?\nAnswer: 8468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 232 - 211. Suppose u - 5*i - y - 9 = 0, u - i - 14 = 0. Suppose -6*m + 2*m = -12, 149 = 2*z + 3*m. What is the greatest common factor of u and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let x be t(-5). Let s(i) = i + 6. Let m be s(x). Sort -3, -4, m in decreasing order.\nAnswer: m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lytzlyp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4668 > 4670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*q - 22, 5*g + 35 = 8*q - 3*q. Suppose 0 = -3*a + q*y - 0*y + 137, a - 2*y = 43. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-7)\/(a**(-3\/2)\/a)*((a*a**(2\/5)*a*a)\/a)**(1\/54))**(-12))**(-24) assuming a is positive.\nAnswer: a**(-6416\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 15. Let x = -26 + 22. Let g = 0.136 + -0.436. What is the closest to d in 5, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -133, -356, -751, -1366, -2249, -3448, -5011?\nAnswer: -6986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39587?\nAnswer: 31, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i**(-2\/3)*i)\/i*i)*i*(i**(4\/7)\/i)\/i)\/((i*i*i**(-1))\/i)**(4\/25) assuming i is positive.\nAnswer: i**(-16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129*g + 117*g - 159*g)*(-2 - 4*g + 2)*(-2 - 2 + 0).\nAnswer: -2736*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h**2. Let j be (-4)\/1 + -25*4\/(-20). Let l(a) = -a**2. Let q(g) = j*x(g) + 2*l(g). Let i(k) = 3*k**2 - 2*k**2 + k**2. What is i(q(u))?\nAnswer: 128*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124956, -249898, -374840, -499782?\nAnswer: -624724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 15. Let n be a(-11). Let f be (6\/n)\/(3\/6). Find the third derivative of 8*r - 8*r + f*r**2 - 2*r**6 wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/4)*f**(4\/5)*(f**(-2\/11)\/f*f)\/f*f\/(((f*f*f**(-7))\/f)\/f) assuming f is positive.\nAnswer: f**(1621\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4782 - 4779.3635. Round x to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*f**5 - 3*f**4 - 59*f**2 - 207968*f wrt f?\nAnswer: 460*f**3 - 36*f**2 - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5901*n + 11969*n + 1 - 1 - 5925*n.\nAnswer: 143*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) - 2*sqrt(108))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12969 and 3144?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 178 + -174. Suppose -4*y - i*o = -5*o - 2216, -3*y = 5*o - 1639. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 8*x + 13. Let c be y(5). Is 4228 + (-1 - c\/3)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11178\/(-270))\/(24\/(-40))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-50)*(-9)\/36)\/((-481)\/(-65))\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 738*k - 2. Let h be r(-2). Let j = 23 - 1. Does 15 divide h\/(-22) + (-4)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -406 - -412. Let r(h) = 2*h + 38. Let f be r(-17). What is the highest common divisor of f and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -27, -63, -121, -201, -303, -427?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 + -542\/5. Which is the second biggest value? (a) 5 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 107*p + 4001. What is the remainder when 149 is divided by k(-37)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/39306 and -19\/8580?\nAnswer: 56207580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14741.99993909 - -14742. What is w rounded to six dps?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19, 25, 21, 1, -41?\n\"Answer: -j**3 + j**2 + 10*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + -2. Let o = b + 66. Calculate the remainder when 57 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1023520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88130 by 2.\nAnswer: -44065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljljjjjljljjjjjqn. What is prob of sequence jj?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -511032512 + 20?\nAnswer: -511032452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31156 minus -8539?\nAnswer: 39695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1005159862868*f**2 + 1 - 2 - 1005159862869*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((540\/28)\/(-27))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 526 = 4*j - j, 3*j + 2*z - 512 = 0. Factor -4*a**2 + 162*a + 168*a + j*a - 26896 + 154*a.\nAnswer: -4*(a - 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 167424 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1023*c - 13123. What is w(13)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/28623 and 95\/25608702.\nAnswer: 742652358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10121, 40523, 91193, 162131, 253337, 364811?\nAnswer: 496553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 90*o - 86*o - 47533, -2*o + 2*l = -23768. Calculate the greatest common factor of o and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3. Let s(t) = 5. Let j(c) = -2*s(c) - 3*y(c). Let z(w) = 5*w**2 - 35*w + 44. Let g(b) = 6*j(b) - z(b). Factor g(a).\nAnswer: -5*(a - 5)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(33\/110))\/(18\/54)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 <= 698208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*c + 5*c + 4858 - 252.\nAnswer: 48*c + 4606","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 343407228 to the nearest integer?\nAnswer: 18531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33795 + -13260. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*q**5 - 19*q**5 + 47*q**5 + (4*q - q**2 - 4*q)*(-4*q**3 + 4*q**3 + 2*q**3) - 634 - 117*q**5 + 634 + 2*q**5 + 0*q**2 + 0*q**2.\nAnswer: -48*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 0. Which is the closest to -1? (a) -1 (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y + 4. What is the remainder when q(-6) is divided by ((-282)\/(-188))\/((-2)\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*c**3 + 989*c**2 - 991*c**2 - 12*c - 31*c**3)*(-2*c + 3*c + c) + (35 + 10*c**3 - 35)*(-4*c + 0*c + 6*c).\nAnswer: 8*c**4 - 4*c**3 - 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11159.\nAnswer: 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 19*a**2 - 73.\nAnswer: -19*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10886559, 10886567, 10886575?\nAnswer: 10886583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.10493 plus -0.070362?\nAnswer: -1.175292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1283451*m = -1284241*m - 63200 for m.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -946 + 946.3. Which is the third smallest value? (a) 232 (b) j (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/5, 2\/181.\nAnswer: -4, 2\/181, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 500 + -323. List the prime factors of n.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-10) - 55979\/(-55) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/230*-1*3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) -0.06 (b) -6 (c) -1599\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2052.312 and 134?\nAnswer: 2186.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8619199*u**2 + 301223374 wrt u?\nAnswer: 17238398*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011023339 rounded to five dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 0*g**3 + 0 + 3*g + 1\/5*g**5 + 0*g**4 + 1\/2*g**2. What is the derivative of s(f) wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*s, -5*s = -0*s - k - 24. Suppose -s*b + 0*b = 0. Suppose b = 2*v - 5*v + 18. What is the smallest common multiple of v and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1969072?\nAnswer: 2, 7, 17581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**4 - 5*m**4 - m**4)*(22 + 10 + 0) + 0*m**4 + 0*m**4 + 2*m**4.\nAnswer: -62*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one quarters of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 392196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from ppnnpnn.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-2\/11))\/l)\/((l\/l**(1\/2))\/l))\/(l**(1\/3))**(-2\/13) assuming l is positive.\nAnswer: l**(317\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 15 - (-4 - 0 - (9 + -12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:44 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(45\/2)*(-45)\/60.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4)*(-336)\/(-18). Suppose -f = -5*k - m + 3*m, 5*m + 16 = -k. Let x(j) = 10*j. Calculate the lowest common multiple of k and x(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 5*s - 9. Let b(q) = 2*q**2 - 6*q - 2. Let j(r) = 5*r**2 - 13*r - 4. Let g(a) = s*j(a) + 7*b(a). Calculate g(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**3 + 40*u**2 + 172*u + 27. Give i(11).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 176539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*m + 24, 5 = -c - 3*m - 12. What is the fourth biggest value in c, 2, -0.4, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28347113 divided by 914423\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -50682.\nAnswer: 101364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*v - 159*v - 11 + 13 in the form z*v + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1067534, -1067539, -1067548, -1067561, -1067578, -1067599, -1067624?\nAnswer: -1067653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*v + 20 = 2*m, -4*m - 2*v = -8. Suppose -24 = m*n - 7*n. What is the remainder when 23 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 + 9*v - 3. Let k be ((-9)\/(-6) - 1)*12. Give q(k).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l. Let j(c) = 3913*c - 3913*c + 396*c**2 + 0 + 2. Calculate j(x(i)).\nAnswer: 6336*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t - 30. Let y(g) = -1. Let h(p) = u(p) - 30*y(p). Let o(z) be the first derivative of 5*z**2\/2 - 1. What is -4*h(m) + 5*o(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 1260?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 8*v**2 + 77*v + 981. Calculate a(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -71 - (-3 + 3 + 0 - 3). Let t = u + 73. Calculate the remainder when 138 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 41. Let g = -29\/2 - f. Which is the third biggest value? (a) -4 (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/2 + -1 + -5. Let m = 5 + c. Let o = 6 - m. What is the lowest common multiple of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -2094\nAnswer: 7\/2094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -39.999824. Round l to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 790 + 3320 = 0. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33412.\nAnswer: 2, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -171 - -246. Let i = k - 37. Let o = i + -42.4. Round o to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 555 (base 10) in base 14?\nAnswer: 2b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-14)\/i**(-18)*(i**1)**11 assuming i is positive.\nAnswer: i**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:17 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1817405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(832) + 2 - 1*(sqrt(325) + sqrt(13))))**2 + ((sqrt(637) + sqrt(637)*-1*5 - sqrt(637) - sqrt(637))**2 - -3*-2*sqrt(637)).\nAnswer: -34*sqrt(13) + 22988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 12:10 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 16\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 2*c + 26, 2 = -258*a + 135*a + 150*a + 5*c - 129 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d - 171. Let s be f(0). Let b = s - -253. What are the prime factors of (11 - 14) + 1 + b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -43.7. Let v = -4.8 + 0.8. Which is the closest to 0.1? (a) 1 (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = -8. Factor n - 8*n**2 - 8*n**3 - 21 + 9 - 23*n + b*n**3.\nAnswer: 2*(n - 6)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.31, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -175*o + 76. Let h be c(0). Calculate the greatest common divisor of 824 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + h + 2, -4*h = -5*x + 71. Let g = 77 + -75. Suppose -g*c + 40 = c - j, 3*j - 45 = -2*c. What is the smallest common multiple of c and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 414491 and 3696.\nAnswer: 19895568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.252 - 14.84. Round p to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**2 - 78. Let x(h) be the first derivative of -20*h**3\/3 - 3. Determine x(q(o)).\nAnswer: -80*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l. Let c(z) = -15839*z**2 - z - 24. Determine c(f(w)).\nAnswer: -142551*w**2 - 3*w - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5290 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 0*c**2 + 14*c**2)*(3*c - 3*c + 9*c).\nAnswer: 144*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65767373.\nAnswer: 7, 17, 23, 24029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 9:35 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -10. Let y(i) = -i + 111. Is y(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5644, -11410, -17178, -22948, -28720?\n\"Answer: -p**2 - 5763*p + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 10 = 5*g, -510*u - 512*u = -4*g - 1025*u - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 890812 divided by 4.\nAnswer: 222703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19589?\nAnswer: 19, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**4 + 7124*y**2 + 60*y - 7123*y**2 - 2 - 13*y to the form u*y**2 + l*y**4 + c + q*y**3 + r*y and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 12:38 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/518736 and -11\/303?\nAnswer: 518736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-1)\/2*(-12)\/3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + ((3 + (sqrt(112) + 3 - sqrt(112)) + (-1 + sqrt(112))*-1)*5)**2 + 4).\nAnswer: -8060 + 2800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*h + 5*h = 61 + 101 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*h - 51 + 2*h + 54 wrt h.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 3156782246?\nAnswer: 3156782245.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.42868 + -3.42868. Let r = -2 - -5. Let j = -5 + r. Which is the nearest to j? (a) 2\/9 (b) d (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*r + 3*w - 0, 2*w + 3 = r. Suppose 2*m - 5 = 4*k - r, 12 = -3*m - 3*k. Let v be (-44)\/5*5\/m. Calculate the greatest common divisor of v and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 2*w - 49 = 2*a, 20 = -4*w. Let i = a + 17. Suppose v = -v + 5*j + 63, i*v - 5*j - 120 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*z + 20 = -93*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 2, 3*f + 2*u + 0 - 2 = 0. Let j(p) = -5*p - 2 + 4*p - 1. Let d be j(f). Put 4, 3, d in ascending order.\nAnswer: d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + o + 156 = 0, 121 = 2*w + 2*o + 3*o. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - 2b6d43c?\nAnswer: -2b6d432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 5*z**4\/12 - 2*z**3 - z**2\/2 + 132*z. Does 11 divide q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -596876*u**3 + 5*u**2 - 3*u - 4. Let l = -18 + 22. Let o be m(l). What is o rounded to the nearest one million?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + -16. What is the units digit of (-484)\/v + 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, u: 2, s: 3, t: 2, c: 1, r: 4}. What is prob of sequence tt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19 or 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0+-71563\nAnswer: -71563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1043505.8 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**5 + 355*i**4 - 630*i**3 - 4070*i**2 - 4805*i - 1725 = 0.\nAnswer: -1, 5, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 9*s**2 + 7*s + 9. Let o be t(7). Let c be 8\/o + 1\/5. Solve -2*r + 7*r - 25 = c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 + 4*r - 5*r + 2*r + 2*r + (-1 + r + 1)*(0 - 1 + 0) to the form t*r + o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*u - 2*u + 4, -5*k + 55 = -5*u. Let q be k\/(-12)*(-12)\/(-136). Which is the nearest to -1? (a) q (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51804 + 36420 = 7352*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6035 (base 7) to base 2\nAnswer: 100000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 228222619 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 10:11 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 8*c**2 + 8*c - 5. Determine z(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-2)\/2*-1). Let d be (-3)\/((-9)\/6 - a). Let y be (-4)\/10 - (-4)\/10. Solve y = -d*h + 5*n - 13, -3*h + 5*h = -5*n + 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*c - 512, -4*d - 5*c - 360 = -7*d. Suppose -o = -3*z - 3*o + 75, -5*z + o = -d. Solve z = -5*p - 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11509 is divided by 1621?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10058546 and 22?\nAnswer: 110644006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 - -68. Let i be (38*j\/12)\/((-1)\/2). Round i to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*b - 9. Let h = 170 - 167. Put b, -2, h in descending order.\nAnswer: b, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 383*c**2 + 54758*c - 1553. Calculate f(-143).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 + 38*f - 58. Let n be r(-14). Which is the smallest value? (a) 1\/7 (b) 619 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -6 - (3 + -1)) + -1. Solve p + w*y + 1 - 2 = 0, 5 = 5*p + y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -1\/2, -15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tykq when four letters picked without replacement from tqpyywkqqqky.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 + 1. Let x = 3 + -29. Let g = x - -76\/3. Which is the smallest value? (a) o (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 441, 159, -723, -2541, -5631, -10329, -16971?\n\"Answer: -56*j**3 + 36*j**2 + 2*j + 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f. Let k be ((-4)\/2 - -385) + f. Suppose -2*a + k = -371. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1369 is divided by 46.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 577*y + 579*y - 2*y**3 - 1735*y + 579*y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 4\/5 (c) -2\/135 (d) 0.408 (e) -2 (f) 2 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 580 = -4*f, 6*b = b - 3*f + 719. Let w = 329 - b. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + 30. Suppose 4*u - 7*u - 4*m + j = 0, -u = -4*m - 10. Find the second derivative of 0*t**3 - u*t + 16*t - t**3 wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -31*x + 47*x. Let d be x - (4\/3)\/(12\/36). Solve 0*v + 7 = -5*k + 4*v, -4 = d*k - 2*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnnjjjjjjj. Give prob of sequence nnj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + (-46)\/6)*-3. Suppose n + 0*n = z. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (sqrt(200) + 1))*2 + -3*(2 + (sqrt(2) - sqrt(12)\/sqrt(6))))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**4 + 16*z**3\/3 + 2*z**2 - 24*z + 181. Factor l(t).\nAnswer: 4*(t - 1)*(t + 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 131.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3091.\nAnswer: 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1\/2 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 379818 and 181806216?\nAnswer: 545418648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2709, -2\/3, 0.2 in ascending order.\nAnswer: -2709, -2\/3, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(13))**2 + -3.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/6)\/((-5)\/(-15)). Let r = a - -8. Suppose 52 = r*k + 4. What is the highest common divisor of 36 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 705, -7\/3, -2\/19, 253 in decreasing order.\nAnswer: 705, 253, -2\/19, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 8910.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + s + 256. Let r(a) = 3*a + 18. Calculate the smallest common multiple of y(0) and r(-2).\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - q**2 + 4*q - 7. Let m be z(-3). Let n be (m + 3 - 52)*(23 - 2). Round n to the nearest 10.\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 2*k + 3 - 1 - 5. Let m be l(-4). Solve 0 = -3*f + j - 11, 3*j - 3 = 2*f - m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 84, 113, 142, 171, 200?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -684 divided by -111048\nAnswer: 57\/9254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -17*a**2. Let z(g) = -g. Let l(f) = -f. Let t(q) = -4*l(q) + z(q). Give t(d(n)).\nAnswer: -51*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phnpfpbbufuhffp. Give prob of sequence bbuu.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 94 + 4 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*s - 80*s - 8 = 0, -s = -5*d - 33 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3289 by 143.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1\/5 (c) -2\/37 (d) -0.1 (e) -338\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1311\/230)\/(126\/840)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 13. Suppose 2*s = 3*s - m*s. Suppose 5*o + 3*g - 278 = s, 4*g - 13 + 203 = 3*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a kilogram in grams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q. Let u(o) = -365*o - 40. Calculate u(r(x)).\nAnswer: 730*x - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 9572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -8*u**3\/3 - 43*u**2 - 1151*u - 1341. What is the first derivative of q(g) wrt g?\nAnswer: -16*g - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 + 8*r + 9*r - 17*r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 2*a + 283 - 86 + 11*a.\nAnswer: 6*a + 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - v**2 + v**2)*(1 - 3 + 1) + (-69*v + 69*v + 20*v**2)*(6*v - v + 0*v).\nAnswer: 98*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 46683670\nAnswer: 9336734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2946, -3089, -3314, -3627, -4034, -4541?\nAnswer: -5154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 2:33 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - a**2 + a + 3. Let v be w(0). Suppose -6*n + 63 = v*n. Suppose 0 = -n*f + 1729 - 616. List the prime factors of f.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7*(-18292)\/(-22) + 10\/(-55).\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*d**5 + 3514*d**2 - 182030*d?\nAnswer: 1100*d**3 + 7028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 184. Let q(k) = -k + 16. What is -g(r) + 4*q(r)?\nAnswer: -3*r + 248","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**3\/3 + 2*o**2 - 3*o + 3. Let t(x) = x. Let g be t(2). What is the units digit of q(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 240*o**4 - o**5 - 240*o**4 - o**2 wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 108*n**3 - 1. Suppose 4 = 8*k + 14 - 18. Calculate h(k).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002033015 rounded to 6 dps?\nAnswer: -0.002033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -157*r. Let a(i) = 2*i**2 + 6*i + 187. Let y(m) = 2*m**2 + 11*m + 343. Let h(d) = -11*a(d) + 6*y(d). What is h(l(w))?\nAnswer: -246490*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 4*h**2 + 12*h + 5. Let q be w(6). Suppose 4 - 9 = q*d. Which is smaller: -35\/17 or d?\nAnswer: -35\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*r = -60, 4*n - 38 - 26 = r. Suppose l - 65 + n = -4*v, -36 = -3*v + l. Suppose -4*z = -v - 16. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*o - 6. Suppose 897 - 69 = o*i. List the prime factors of i.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w - 3. Let q be p(-1). Let r be -3*((-20)\/q - 4). Solve -r*v = v + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 991 + 335*l - 2220 + 1229.\nAnswer: 335*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*b + 5*b + 3*j, -4 = 4*j. Let s be 4\/(b\/3) - 4. What is the third biggest value in -0.3, s, 1\/6, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.55 - -16.65. Let l = f + -13. Let i = 1.57 - l. Round i to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 6*f**2 + 6*f - 11. Let o be w(-7). Sort -2, o, 0 in decreasing order.\nAnswer: 0, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -154, -243, -346, -469, -618, -799?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4701 + -4699. Solve -23*o - 175 = w*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1014 (base 7) to base 11\nAnswer: 2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39881 + 39881 + 504*o**2.\nAnswer: 504*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 31 - 28 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3193616 - 11*i**2 + 3193616 - 399*i**3 to v*i + j*i**2 + u*i**3 + m and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - y - 41 = 0, -67 = -5*c - 35*y + 31*y. Solve -5*m - 4*w - 10 = 0, c - 5 = -3*m + 3*w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t**3 + 14*t**2 + 13*t + 11. Calculate h(-3).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8960 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.81452l to millilitres.\nAnswer: 10814.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 - 2*g + 2*g - 1614*g**2 + 1618*g**2 + 1 - 3 + 17*g + (-1 + 1 + g**2)*(1 - 1 - 1).\nAnswer: 2*g**2 + 17*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1370 is divided by 447.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 9*k**2 + 9*k + 10. Let u be y(10). Solve 4*v = -p + 5*v - 6, u = 4*p + 4*v - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*sqrt(108) - (-4 + (sqrt(108) - (-2 + sqrt(108)))))**2.\nAnswer: 24*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3016996*c*g**3 + c*g*y**2 - 2*g**3*y - 31*g**2*y - 1031*g**2 + 20*g*y**2 wrt c.\nAnswer: -3016996*g**3 + g*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -285 + 772. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = h + h. Let d(l) = l**3 + 6*l**2 - 8*l - 1. Let b be d(h). What is the tens digit of (-3)\/b*-1*54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 11*s**2 - 9*s - 3. Let f be d(-11). Let v be 2\/6 + (-20)\/f. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112 - 1043310251?\nAnswer: -1043310135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 - -125. Sort s, 7, -3, 1 in increasing order.\nAnswer: -3, 1, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/18 and -161\/69848766.\nAnswer: 69848766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 164 - 108. Let o be (3 - (1 + 16))*1. Let a = o + d. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.5, -1\/5, 51\/4?\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -28*g + 527. Calculate c(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(3\/(-6) + 0). Suppose b - 4 = q. Factor 4*l**3 + 5*l**5 - 4*l**3 + 2*l**4 - 2*l**2 + l - b*l**5.\nAnswer: -l*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6bd1 - 2b71?\nAnswer: 4060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 7:01 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 + 357208687620 - 357208687620.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2921.508*0.2\nAnswer: 584.3016","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/(-42) - 2)*((-359)\/6 + (-7)\/42).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12048 is divided by 1004.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5601.195 rounded to zero decimal places?\nAnswer: 5601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2. Let k be (-1)\/1 + 5 - g. Suppose -5*t + 30 = 5*w, t - 9 + 3 = -k*w. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/6)\/(70\/(-28)))\/(-1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3 + sqrt(700) - sqrt(700))**2)*-3*-6.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1017, 55, 4, 26, -7, 3 in decreasing order.\nAnswer: 1017, 55, 26, 4, 3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0797946ug to milligrams.\nAnswer: 0.0000797946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 11 - ((1 - -9) + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 10:33 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.41527 + -0.36337. Let d = 0.0519 - h. What is the smallest value in 1\/12, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -36.4. Suppose -22 + 13 = 3*v. Let t be (-3)\/(-7)*(-4)\/3. What is the closest to 0.1 in v, b, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -375*p**5\/8 + 210*p**4 - 1857*p**3\/8 + 147*p**2\/2 - 9*p\/2 = 0. What is p?\nAnswer: 0, 2\/25, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 83494*r - 30 + 54.\nAnswer: -83494*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 1. Let v be z(-4). Suppose 0 = w + 3*w + 12, -5*i + v*w + 90 = 0. Suppose -5*j = -0 - 20. Solve -5 = -j*m + i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.126 - -0.174. What is the third smallest value in -0.2, 2, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*n - 3. Let u(q) = q**2 - 2*q**2 + 1 + 4*q + n*q**2. Suppose -4*s = 10 + 10. Calculate u(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*m = -13, 4*n = -4*m - 29 - 39. Let y(j) = 12*j + 9. Let t(i) = -i - 1. Let v(p) = n*t(p) - 2*y(p). Let u(g) = -2*g**2. Calculate v(u(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*p - 2*p + 66, -5*o - 121 = p. Let y = -27 - o. Which is the nearest to y? (a) 5 (b) -1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 - 1630*u + 18244. What is c(11)?\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1494950, 2989910, 4484872, 5979836?\n\"Answer: x**2 + 1494957*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 9*r**3 + 3*r**3)*(2*r**2 + r - r).\nAnswer: 18*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.043692 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 1?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9644 divided by -32761?\nAnswer: 9644\/32761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n**3 + 2*n - 1. Let t be q(1). Suppose s - 11 = -t. Suppose 5*g - 4*l + 4 = 0, 0*g = s*g + 5*l + 36. Put g, 5, -3 in increasing order.\nAnswer: g, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 z when three letters picked without replacement from {z: 9, q: 4, m: 1}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.638.\nAnswer: -0.1276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 459235 and 3.4?\nAnswer: 1561399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -3*(-20)\/12. Suppose r*j - 10 = 5. Solve 0 = j*f + 2 + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*w + 4*w. Calculate the lowest common multiple of w and 120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4462 - 4449. Suppose r - 3 + 1 = 0. Suppose -r*y = -y - 37. Calculate the remainder when y is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -12*f**2 - 201*f - 5. Let m(q) = 17*q**2 + 301*q + 7. Give -7*g(o) - 5*m(o).\nAnswer: -o**2 - 98*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Let y(l) = l**3 + 12*l**2 - 9*l. Let k be y(-13). Calculate the remainder when ((-273)\/k)\/(3\/4) is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18586 < 18581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 + 2 - 0) + (-821 - -806).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -12346.22 and -80.\nAnswer: -12426.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 + 7*f**2 - 2. Let u be k(3). Solve -2*c + 11 = 5*p, 3*p - u - 8 = -4*c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/46 and 83\/6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-3)\/o*o)\/(o**(-3)\/o)*(o*o\/(o\/(o\/(o\/(o\/(o*o**(-5)\/o))))*o*o)*o)\/o**7*(o**(2\/13)*o**2)\/((o**1\/o)\/(o*o*o\/(o*o**(2\/7)))) assuming o is positive.\nAnswer: o**(443\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30559923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10911*0.053.\nAnswer: -578.283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 7:34 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 78 = -3*b - 2*l, -2*l - 38 = -2*b. Calculate the greatest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -2\/21 (c) -4 (d) 40 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 263\/2 + -130. Sort 2\/15, -5, a, 4 in increasing order.\nAnswer: -5, 2\/15, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.78 + -18.78. Let f = -2\/63 - -23\/63. Which is the fourth smallest value? (a) f (b) 0.3 (c) 4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*20*(-13)\/(-104)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 - 365*b - 24609. Give m(170).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 + 1354510*h\/9 + 4063692.\nAnswer: -2*(h - 677282)*(h + 27)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-4\/5)*i)\/i)\/(i*(i**(-6\/17)*i)\/i*i*i))**(3\/5) assuming i is positive.\nAnswer: i**(-624\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -627*q + 653*q + 52. Let o(b) = -27*b**2 + 5*b. Let l(w) = 13*w**2 - 2*w + 1411 - 708 - 703. Give q*o(g) - 5*l(g).\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35333681 by -158447.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29\/11 + 112\/55. Let q = -1.31 + -4.99. Let s = q - -1.3. What is the nearest to 1\/3 in s, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 922318?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*j**3*l**4 + 7*j**3 - l**5 - 32*l**4 - 11*l**2 wrt l.\nAnswer: -216*j**3*l - 60*l**2 - 768*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130706 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*x - 4232 = 133*x + 4*f, 4*x + 2*f = -5656. What is x rounded to the nearest ten?\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 9:35 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -441*a - 465*a + 966*a - 19 in the form s*a + i and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 81393042 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 5. Let h be (-10)\/g*6\/5. Suppose -h*y = -y - 33. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 571 - 568. Suppose 0 = k - r*i - 525, -3*i - 2190 = -5*k + 411. What are the prime factors of k?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b - 15. Give d(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -542.209 times 5\nAnswer: -2711.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10 = 0, -3*y + 44 = -0*p - p. Let b = 46 + p. Calculate the greatest common factor of b and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y + 277*y = 1236 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*z + 4 = 0, h + 5 = 2*z - 8. What is the fourth biggest value in -2\/9, 0.3, h, 13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 10. Suppose -y - 18 = -s*y. Does 14 divide (6*8)\/(y\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*h = -83*h + 1024. Calculate the remainder when h is divided by (-4)\/((-18)\/40 - (-14)\/56).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.05544816 rounded to 4 decimal places?\nAnswer: -1.0554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 7 = g + 4*u, 28 = 4*g + 2*u. Calculate the remainder when 1*22 - (1 - -1) is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2\/3 - 42281*n\/3 - 211430\/3 = 0.\nAnswer: -5, 42286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-20))\/(636\/3180).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 2, -601\/76, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + s)*(-8*s**4 + s**4 + 2*s**4) - 4*s**4 + 11*s**5 + 5*s**4 + 0*s**4.\nAnswer: 6*s**5 + s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2126 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 3*y**2 - y + 7. Let h be c(-4). What is the third smallest value in h, 31, 1\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1105 = 4*z + 141. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*i - 0*i. Let t be (1 - -2) + (0 - i). Let p be -6 + t - 0 - -121. What is the highest common divisor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/6421038 and -75\/34762?\nAnswer: 44947266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1172)\/1794 - 12\/(-18). Let u = k - 14372\/1495. Let n = 303\/4 + -665\/12. What is the common denominator of u and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 38.\nAnswer: -3, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 5:25 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 10*l**2 + l - 6. What is the remainder when z(10) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 34*j**3\/3 - 129. Let q(g) = 2*g. What is i(q(s))?\nAnswer: 136*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 2*j + j + j - 1 + 1 + (-3 + 7 - 2)*(j - 1 + 1).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 3*g - 7. Let d be b(5). Let l(q) = 0*q + 0*q**2 - 2*q + q**2 - d*q. Calculate l(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 68107719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 7*v**2 - 20*v + 13. Give o(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + (0 - -3))\/((-30)\/(-4)). Let y be ((-4)\/(-6))\/((-52)\/(-24) - 2). Which is the fourth smallest value? (a) -1 (b) -4 (c) y (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + sqrt(112)*-2*-4)**2 + -5 + -1*(sqrt(112) + -2 + sqrt(112)) + 4.\nAnswer: -8*sqrt(7) + 9073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75350*h**2*p**3 - 45625*p**3 wrt h.\nAnswer: 150700*h*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 0*h - 3*h)*(142630 - 285*h + 1271*h - 142629).\nAnswer: -986*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-435)\/18 + 0 + (-1)\/(-6). Let l be w + (12\/(-2))\/(-2). Does 4 divide (-489)\/l + (-4)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.9 + 6.2. Let o be 490\/(-21)*10\/4. Let t = -60 - o. Which is the closest to 1? (a) r (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1005)\/(-469))\/((-627)\/(-154))?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 8. Suppose -j + 4 = -10. Let s = j + -18. Sort s, i, 0 in ascending order.\nAnswer: s, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -41 - 10. Let n(x) = 0*x - 2*x - 2*x**3 + 3*x**3 + 3*x**2 + 1. Calculate the remainder when l is divided by n(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*k + 12. Let m = k + 3. Suppose 0 = -4*w + 2*d - 7*d + 60, -d = m. Calculate the remainder when w is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3649*((-4320)\/(-2952))\/60?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 49 + 27 - 67*z to c*z + l and give c.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3608000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, w: 1, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-1 + 0) + 28. Let z(n) = n**3 - 15*n**2 - 15*n + 23. Let u be z(16). What is the greatest common divisor of i and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -400, -802, -1204, -1606, -2008?\n\"Answer: -402*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35033 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**15*s)\/(s*s\/(s\/(s*s**(-3\/10)\/s)*s))*(s*s**(-1\/4))\/(s*(s\/(s*s\/s**(2\/11)))\/s) assuming s is positive.\nAnswer: s**(4151\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 20*b - 19. Calculate the remainder when 8 is divided by o(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/220 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21121022 (base 3) in base 10?\nAnswer: -5543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1178091.571 from -1.63453.\nAnswer: -1178093.20553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/4)\/x*x*x**9)**(-8\/5) assuming x is positive.\nAnswer: x**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -x - 8, 2*g + 15*x = 10*x - 6. Suppose c - 2*c + 25 = -g*f, f + 38 = 2*c. What is the highest common factor of 51 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 165182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2654\/13 + -204. Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202056155?\nAnswer: 5, 7, 16831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7437?\nAnswer: 3, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 1:21 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 - 135. Let s be 125\/6*-4*132\/t. What is the greatest common divisor of 20 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r + 19*r + 32 = 8*r. Let q = 1.5 - 1.7. What is the nearest to -0.1 in 1\/4, q, 1\/6, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0.5, 276 in descending order.\nAnswer: 276, 0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**1)**(-2)\/(f**(-1)*f*f*(f\/(f\/f**(-2\/3)))\/f)*(f**(-1)\/f)**(-1\/22)*f**(-7)\/f**(-8) assuming f is positive.\nAnswer: f**(-140\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x + 0*x + 7543 - 7491 as h + n*x and give h.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - (1 - 0)) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*t - 10 + 41. Suppose -5*p = -2*j - t + 11, -2*j - 2 = -2*p. Put -3, -1, j in descending order.\nAnswer: -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 + -88. Is 12\/20*(b + 3 + 604) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49188486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -89*l**3\/6 + 27*l**2 + 43*l - 2. Find the first derivative of u(v) wrt v.\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 3*q**5\/20 - 12*q**2. Let g(y) = y**2. What is 12*g(h) - t(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzozb. What is prob of picking 2 b and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15212 divided by -3803\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/606 and 9\/2686903.\nAnswer: 16121418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -922*r - 4272. Give f(-2).\nAnswer: -2428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 4 - 22) + 46 + -52.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 + 33 + 116 + 172 + 259 - 3*i in the form o*i + n and give n.\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 5, o: 3, f: 3, j: 1}. What is prob of picking 1 j and 1 b?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14597506374 + 13*w**3 + 14597506374.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 17*f**2 + 8*f - 15. Let b be 2*(5 - (-7)\/(-2)). Does 18 divide u(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4071 and 22656.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqb when three letters picked without replacement from {b: 6, q: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6696 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**4 - 10198*p**3\/3 + 99100*p**2\/3 + 5600*p = 0.\nAnswer: -1\/6, 0, 10, 840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 2*s - 4. Calculate the remainder when g(5) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 - 2*h**2 + 4*h - 2. Let k = 82 - 117. Let q = 37 + k. What is p(q)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81051.84nm to micrometers.\nAnswer: 81.05184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, -27, -161, -293?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, q: 1, u: 3, a: 2, x: 1}. What is prob of sequence xua?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4167723.\nAnswer: 3, 7, 198463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 635.739+1332\nAnswer: 1967.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 15157.7041 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 - 5*j**2 + 17 + 3*j**2 - j)*(1 - 1 - 6) as q + t*j**2 + d*j and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdwcdmdedcmwmkccwmdm. Give prob of sequence ekdc.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, f: 4, g: 2}. What is prob of picking 1 f and 2 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 133352 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*t + 33*t - 828*t**5 + 829*t**5 + (-2 + 2 - 2*t)*(-3*t**4 + 2*t**4 + 2*t**4) - t**5 + 1 - 1 - t**5 - 2*t**5 + 2*t**5 - 3 - 2*t**5 + 3.\nAnswer: -5*t**5 + 88*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132518397 to the nearest integer?\nAnswer: 11512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -58, -59, -42, -1, 70?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/6)\/(z*z**(-2\/3)*z))\/(z\/(z**1\/z*z*z)*z**6)*(z**0)**(-38\/3)*(z**(-1\/2))**(-12) assuming z is positive.\nAnswer: 1\/sqrt(z)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*k**6 - 12*k**5 - 326*k**4 - 870489*k**2.\nAnswer: -720*k**3 - 720*k**2 - 7824*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 3*i - 2. Suppose 0 = w - 0*w. Suppose -2 = -s - 2*k - w, -s - 4*k = -2. Suppose -n - s*g = -6, n - 19 = 2*n - 3*g. What is x(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(147))*4 - sqrt(147))**2*3.\nAnswer: 3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 + -62. Let k(i) = 4*i - 16. Let a be k(x). Solve a*p = -5*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 411, 899, 1387, 1875, 2363?\nAnswer: 2851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13255?\nAnswer: 5, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 36075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -19, -0.1 in descending order.\nAnswer: 1, 0, -0.1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -25*x + 1. Let i(j) = 10*j. Give d(i(r)).\nAnswer: -250*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 0*v**3 + 0*v**4 - 3 + 0*v**5 + 0*v - 1\/2*v**2 + 2\/3*v**6. Find the second derivative of l(x) wrt x.\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2272 and 47497952?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**4\/8 - 6*a**3 + 17*a**2. Let d be y(-8). Let s(u) = u**2 + 6*u - 11. What are the prime factors of s(d)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58\/3 or 0.0833?\nAnswer: 0.0833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 31. What is the nearest to 0.1 in 4, p, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwcnwcnwwc. Give prob of sequence wnwn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -419038\/9 - -45754. Let n = -805 - g. Let z = 983\/2 + -503. What is the common denominator of z and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*f + 102. Let r = -56 + f. What is the common denominator of r and -109\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 509 and 779279?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-146 + 101 - 223 - s**2)*(0 + 0 + 2*s) to the form r*s + b*s**3 + d + w*s**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 3)*(3 - 2 + 1) - 6 + 4 + 3)*(75*n**3 - 112*n**3 - 303*n**3).\nAnswer: 340*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-39) - (3206\/(-455) - -7). What is the nearest to -2\/3 in q, 0.1, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 8*z**2 - z + 14. Let n = 13 + 3. Calculate the remainder when n is divided by b(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*h - 6*h = 21, -4*k - 3*h + 33 = 0. Let q(u) = 7*u**3 + 4*u**2 - 12*u + 26. Is q(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 9 + 39 = 0. Let i be ((-9)\/12)\/((-2)\/r). Is -6 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Suppose 0 = 5*f, -h + 12 = 3*h - f. Suppose -7*r = -h*r - 12. What is the remainder when r is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 3\/5, 2, 476?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1335.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1160, 39, 5, 162 in increasing order.\nAnswer: -1160, 3, 4, 5, 39, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 > -84749\/5660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 - -167. Suppose -o = -2*l + t, -3*l + l - 3*o = -75. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 2. Let c be k(2). Let h be c - 2 - (-1 + 403). What is h rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6983806195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/3 + 228*z + 1384\/3.\nAnswer: -4*(z - 173)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**6 - 8383*s**4 - 93*s**2 + 6*s.\nAnswer: -120*s**3 - 201192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1797262 = -46*h + 938220. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(900) + sqrt(900) + sqrt(900) + sqrt(36))\/(-2*sqrt(192) - sqrt(192)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 9.7. Let m = -3.981 + 3.481. Sort b, -1\/5, -0.4, m.\nAnswer: m, -0.4, b, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4\/8 + 15*b**3\/4 + 297*b**2\/8 + 135*b + 162 = 0. Calculate b.\nAnswer: -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*s - 10*s - 1872 = 262 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 10 = -4*i. Let h = i + -9. Let t(j) = -4*j**3 + 7*j**2 + 6*j - 5. Let n(b) = 3*b**3 - 6*b**2 - 5*b + 4. Let s(v) = h*n(v) + 4*t(v). Factor s(y).\nAnswer: -y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -9*u + 631. List the prime factors of u.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -60580 (b) -2 (c) 0.1 (d) 1\/5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3034786?\nAnswer: 2, 1517393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6 + 2*q - 3*q - 5 - 2*q. Let z = 43 + -26. Suppose 4*b - 15 = 9. Let v(h) = h + 4. Give b*d(s) + z*v(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 334 = -1466. Does 30 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301*c = 288*c + 25389. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppggpg. Give prob of picking 2 g and 1 p.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*h*r**5 + 353*h*r**4 + 2*h*r**3 + 17*h*r + 1794*h + r**2 wrt r?\nAnswer: 1680*h*r**2 + 8472*h*r + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 18 - ((-1 - -3) + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1439 + -0.2439. Which is the closest to 0? (a) z (b) -6\/7 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1839 divided by 1839\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.24+-794\nAnswer: -794.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l\/(l\/(l\/(l\/((l**(-1\/2)*l*l)\/l)*l))))*l)\/l))**(32\/3) assuming l is positive.\nAnswer: l**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502878?\nAnswer: 2, 3, 83813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61872*-3255.\nAnswer: -201393360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265224, -265235, -265254, -265281, -265316?\nAnswer: -265359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 8:33 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4120851666 to the nearest integer?\nAnswer: 64194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 468, 479, 516, 591, 716?\n\"Answer: 2*u**3 + u**2 - 6*u + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5*u - 9, 5*p - 15*u + 16*u = 15. Let y(c) be the first derivative of -p*c**2 + 2 + 8*c + 2\/3*c**3. Factor y(l).\nAnswer: 2*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 104654 - 0?\nAnswer: 104654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0473813 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y + 8*y**2 + 16*y**2)*(2*y**3 - 2*y**3 - 2*y**3).\nAnswer: -48*y**5 + 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 15*h - 90. Let p be y(0). Let m be 3276\/p + 1\/(5\/2). What is m rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 2. Suppose 4 + a = -l. Is (-4)\/l - 273\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 6*y**2 + 4*y**2 + 12*y + 0*y**2 - 10*y - y**3 - y to the form h*y**3 + b + p*y + a*y**2 and give b.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -17. Suppose -b + 11 = 2*h, r = -4*b + b - h + 18. Suppose b*a - 35 = 15. Solve g + g = -a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 1366.\nAnswer: 15026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 12. What is the lowest common multiple of 3 and h(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4027976, -8055958, -12083940?\n\"Answer: -4027982*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54255484?\nAnswer: 2, 47, 131, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-3 - f**2 + 3) + (-1 - 6 + 5)*(0*f**2 - 5*f**2 + 3*f**2) - 5 + 5 + f + 6*f**2.\nAnswer: 12*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of (-1359)\/(-9)*95\/2*124\/155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39076093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/4*(-16)\/10. Suppose 22*h = 17*h + 30. Suppose h*x + 8 = 26. What is the third smallest value in m, -0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439927?\nAnswer: 89, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -160364261*r**2 + 82120335*r wrt r.\nAnswer: -320728522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 6*h**2 + h - 4. Let n be (-3)\/(18\/(-4))*-114. Let b be 20\/(-8)*(-164)\/5. Let k = b + n. Calculate x(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/820 and 31\/13584.\nAnswer: 2784720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 109628*i - 4. Let w(q) = -28*q. Give w(n(v)).\nAnswer: -3069584*v + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 12 + 11 + -2 - (8 - 7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 + 510*n + 5285. Determine u(265).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4\/8)*(328 - 250).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*o**2 - 42*o + 22*o**2 + 42*o + 10*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6 - 2 = 0. Let k be -3*(-2 + 1) - v. Suppose -k*u - 84 = -4*u. Calculate the greatest common divisor of u and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1087*x**4 + x**4 + 1524*x - 444*x - 3*x**2 + x**2 wrt x.\nAnswer: 26112*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 158 and 9465701.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2843 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7855570 divided by -2?\nAnswer: -3927785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -664 = -w + 598. Suppose w = 2*o + 2*t, -3*o + 0*o + 1925 = -5*t. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24*(-5)\/60*-4. Suppose 1105 = 13*z - l*z. Let a be 15\/13 + -1 + 1071\/z. Solve -a*u + 14 = n, n - 26 = -5*u - 3*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313624029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 k, and 1 h when three letters picked without replacement from keeeeheeeeeehehkheu.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 173 and 54841.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 + -116. Let a = 0.0798 - 1.2798. Put a, 2, d, -0.05 in ascending order.\nAnswer: d, a, -0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -105579\/364 greater than or equal to -291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**9\/(n**1\/n))\/((n**(-2\/19)\/n)\/((n\/n**(-2\/5))\/n)))**(-27) assuming n is positive.\nAnswer: n**(-26946\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -54, -107, -158, -207, -254, -299?\n\"Answer: u**2 - 56*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12057235 and 3460?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (5 - 2)) + -42 + 43?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0 + 3. What are the prime factors of (m + -1)*(4 + -7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.84 + 8.84. Which is the nearest to 2\/3? (a) -0.1 (b) -12\/11 (c) u (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001262624087 rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 + -4)*1590\/4. Suppose -12*x + 2379 = z. Is 31 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -975*u + 972*u + 4*l + 148 = 0, 3*u = -3*l + 141 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8632 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7396837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**5\/20 - 137*b**4\/2 + 550*b**3 + 3*b**2 - 1575. Factor d(p).\nAnswer: -3*(p - 2)*(p + 550)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1822.731 micrometers in kilometers?\nAnswer: 0.000001822731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = 3*i + 7, -2*k = -3*i - 20. Let q be 6\/k*(294\/9 + -2). Calculate the highest common factor of 46 and q.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2084725, 4169465, 6254225, 8339011, 10423829, 12508685, 14593585?\nAnswer: 16678535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 867835\/93820 + (1 - 14\/8)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51532, 206140, 463826, 824590?\nAnswer: 1288432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5\/3, -2 in increasing order.\nAnswer: -2, 1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.064 + 13. Let q = -0.636 + h. Let t = 2.3 - q. Which is the fourth biggest value? (a) -2 (b) t (c) 1\/7 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*z**2 - 754*z**3 + 154*z**2 - 44*z**2 - 64*z**2 + 6 to the form m*z + f + w*z**2 + l*z**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.72 + -1.28. Suppose 0*k + 6*k - 24 = 0. What is the biggest value in k, b, 4\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39615\/(-81396) + 6\/51 and -143\/288?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-19)*c**9*c*((c*c\/(c\/c**(-11)))\/c)\/(c\/(c**6*c*c)*c) assuming c is positive.\nAnswer: c**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**0*i**(9\/4) assuming i is positive.\nAnswer: i**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2064 to 2 dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-771)\/(-33) + 48\/(-132). Solve 20 = -j*m + 19*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/8 + 81\/(-12). What is the least common multiple of (c*4\/(-16))\/((-2)\/(-24)) and 51?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 221783803*o**3*p - 12151589*o**3 - 2*o**2 - 3 wrt p?\nAnswer: 221783803*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 192*m**3\/5 - 336*m**2 + 980*m - 1791. Factor y(i).\nAnswer: 4*(12*i - 35)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r - 10. What is the remainder when d(-12) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*1*6)\/(sqrt(275) - sqrt(275)*-1 - sqrt(275))*4*4)**2.\nAnswer: 156672\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6802, -13115, -19428, -25741?\n\"Answer: -6313*j - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 = 102. Suppose 4*m = 5*s + 14, -4*m + s + 21 + 1 = 0. Calculate the remainder when d is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 145, 370, 747, 1318, 2125?\nAnswer: 3210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74\/(-555))\/(8\/(-30))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 - 2*c**2 + 3*c - 3. Let v(y) be the first derivative of -y**4\/2 - y**3 + 2*y**2 - 4*y - 21. Let u = -7 + 3. Determine u*j(w) + 3*v(w).\nAnswer: 2*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from ffffffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 211, 3\/5, 17 in ascending order.\nAnswer: 3\/5, 17, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = -4*y, -5 = -m - 2. Let q(o) be the third derivative of 0*o - 1\/24*o**4 - 5*o**2 + y + 0*o**3. Let u(t) = 2*t. Determine q(u(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 69.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -867633497.03 + -271\nAnswer: -867633768.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208243557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 43241211 (base 5) to base 13\nAnswer: cb843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1098*p + 9056*p = -461564 for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*u - 11*u**6 - 863*u**4 - 19*u**6 + 958*u**4 + 35*u**2 - 19*u + 8 wrt u.\nAnswer: -3600*u**3 + 2280*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -3.\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -110*a*y**4 - 1204*a + 3*y**2 wrt y?\nAnswer: -440*a*y**3 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 2*n**3\/3 + 3*n**2\/2 + 3*n + 5. Give j(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-132) - (-4)\/16?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 3:34 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 950, 2, -11, 0 in descending order.\nAnswer: 950, 5, 2, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8*n - 16. Let p be r(-4). Suppose 0 = 4*h - 5*h - 3*w, -2*h + 10 = -4*w. Solve -h*j = j - p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/3)\/(6\/(-16)) and -11\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7997.5 + -48.\nAnswer: -8045.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**12)\/q)**(-41) assuming q is positive.\nAnswer: q**(-492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001065074144 to seven dps.\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0 + 18 = 0. Let g = 9 - a. Suppose 5*u + o - g = 0, -5*u - 4*o = -2*u - 6. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -8*m**2 - 3*m + 2. Let l be g(5). Let c = -136 - l. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.1748792 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*m = 39912 - 40171. Put 1, 7, -3, m, 5 in decreasing order.\nAnswer: 7, 5, 1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8519 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 4*q = 20. Let d be 0 + -2*6\/(-4). Solve -31 - 2 = -2*u + q*f, d*f = -2*u - 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22365)\/31311 + (3 - (-120)\/(-28))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -234 + 236. Which is the second smallest value? (a) -4 (b) u (c) 0 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 684 = -3*t - t, 0 = 5*t + v - 851. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4945463513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624*p**2 + 11 - 5 - 6.\nAnswer: 624*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 33*d**2 - 73*d - 100. What is p(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 4:07 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (6 + -5) - 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*a**5 + 17*a - 3016*a**4 + 3016*a**4 wrt a?\nAnswer: -440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272407867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2464)\/(-96))\/(245\/(-105)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -2.9 (b) -152.08 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3)\/((-1)\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 4:42 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/5)\/((-16)\/(-20)). Let u = 4.1 + -0.1. Let f = u - 6. What is the nearest to b in 0, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16053, 32035, 48019, 64005, 79993?\n\"Answer: q**2 + 15979*q + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1567705 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*z**3 + 95*z**3 + 96*z**3 + 51*z**3 + 7*z**2.\nAnswer: 5*z**3 + 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22402 (base 6) in base 9?\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 18. What is the remainder when 38 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2 - 2 + r. Let g(u) = 3*u. Let y(p) = -p**2 + p. Let a(n) = g(n) - 3*y(n). Calculate d(a(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115 and 9156415?\nAnswer: 9156415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) -1 (c) -53888 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/5 (b) -61 (c) -3 (d) -2\/9 (e) 1165\/34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -598*0.4\nAnswer: -239.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17 - 0 - (-60 + 62). Solve m - 4*j = -k, -5*m - 3*j = -4*m - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 0. Let s(p) = -7*p**3 - 5*p**2 - 2*p + 4. Let v(q) = 6*q**3 + 5*q**2 + 2*q - 3. Let a(f) = n*v(f) + 5*s(f). Give a(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 35156086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p**3 - p - 1. Give k(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 67*g - 2. Let j be u(2). What is the highest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -785 + 2?\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.175 plus 236.1?\nAnswer: 235.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -10*p**2 + 1975*p - 98005. Let g(n) = -5*n**2 + 988*n - 49003. Let l(u) = -5*g(u) + 2*r(u). Let l(o) = 0. Calculate o.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83100249 and 243.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19130, -19131, -19132, -19133, -19134?\n\"Answer: -i - 19129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11992 + 23997. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*n**5 - 19*n**5 + 10*n**5 + n**4 - n**5 - n**4 + (-n**5 + n - n)*(3 - 3 + 1).\nAnswer: 23*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-189)\/126)\/(6\/(-3204776)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**5\/30 + 7*l**3\/6 - 9*l**2 - 6. What is b(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1960195 is divided by 5781.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -472, -0.08, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 569387.9 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1372*n**2. Let q(w) = -w - 19. What is o(q(b))?\nAnswer: 1372*b**2 + 52136*b + 495292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*i**2 + 15*i**2 - 10 + 1 to a + w*i + c*i**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 924\/(-16632)*90\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15213 + 23105?\nAnswer: 41321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 3*d + 2, 4*d - 4 = 2*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 18*d**2 - 129*d - 11. Determine l(-6).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 5:46 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i - 161 = 163. Let t be (-36)\/i*(-3 - -1). Is t < -36\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 2531344?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvll when four letters picked without replacement from {c: 6, l: 4, v: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 128*i - 16 + 24 as c + q*i and give q.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + -1 + -5)*(2 - -1). Let r(b) be the first derivative of -9*b**2\/2 + 3*b + 1. Does 10 divide r(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9935 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 1248\nAnswer: 9984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w + 22. Let f be k(5). What is the second derivative of 22*t**4 - 13*t**f - t - 17*t**2 + 30*t**2 wrt t?\nAnswer: 264*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, q: 1, u: 5, x: 2, n: 1}. Give prob of picking 1 u and 1 g.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 77*p**2 + 793*p + 1. Calculate s(-13).\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1554 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j + j + 4*j. Let d(b) = -6*b**2 + b. Calculate m(d(s)).\nAnswer: 6*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4093 is divided by 2025.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 103643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-784)\/(-42))\/(10\/(-6) + 2). Let m = n - 20. Suppose 0 = -5*p + 37 + 58. Calculate the remainder when m is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*y**5 - 3*y**4 - 224*y?\nAnswer: 60*y**3 - 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-95)\/22040*-406)\/(14\/4))\/((-4)\/60).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v**2 + 4297*v - 21417. Calculate d(5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 7356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*i - 531*i = h + 20, 5*h = 8*i - 82 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10832*u**2 + 2816*u**2 - 1 + 3413*u**2 + 1 + 3203*u**2.\nAnswer: -1400*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -p + 85, -3*p - 2*p - 5*h + 375 = 0. Which is bigger: -2\/19 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111769 divided by -1?\nAnswer: -111769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1645*k + 2558*k + 32868 = 0 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5 + 27*f - 27*f**4 - 2 + 7 wrt f?\nAnswer: -324*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + c = -25, -3*n + 0*n = 5*c + 10. Suppose n*z = 20 - 5. Suppose -z*a + 50 = 2*a. Solve -3*m + m + a = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 257.7395 to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2. Let d(n) be the second derivative of -n + 0*n**3 + 1\/3*n**4 + 0*n**2 + 0. What is d(v(a))?\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*a - 15 = 3*x, -4 = -4*x - 2*a. What is the common denominator of (-50 + x)\/(-7 - 3) and -43\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242271988 - 0.264?\nAnswer: -242271988.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-84) - (35\/546 - (-90)\/(-390)). Find d, given that -n*d**3 + 0*d**2 + 0*d + 0 + 1\/7*d**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3624 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 + 52*b**2 + 608*b**2 + 50 + 2*b.\nAnswer: 660*b**2 + 2*b + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 16) in base 3?\nAnswer: 110122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1599895.\nAnswer: 5, 11, 19, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 3. Let p be (4 + -1)\/(2\/4). Suppose i - p*i = 0. Sort r, i, 3 in increasing order.\nAnswer: i, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001621391058 to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43, -24, 17, 86, 189?\n\"Answer: n**3 + 5*n**2 - 3*n - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiindiwsduiidid. Give prob of sequence nd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 179. Determine c(-173).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 9. Let h(n) be the second derivative of -1\/24*n**4 + 0*n**2 - 1\/12*n**o + 0 - 2*n. Determine u, given that h(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -940130*t**2. Let q(n) = -2*n. Calculate q(p(x)).\nAnswer: 1880260*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -1. Suppose 0 = r*f + 138 + 777. Calculate the common denominator of 14\/9 and (f\/(-36))\/((-12)\/18).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.021\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**4\/4 - 3*a**3 + 3*a**2\/2 + 18*a - 1189. What is g(8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 - 11*w**2 + 11*w**2 + w**3 + 5*w**3 - 2*w**3 + (2*w - 2*w**2 - 2*w)*(-1 - 2*w + 1).\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/1 - 0\/1. Suppose 5*w + x = 14, 0*w + x + 13 = d*w. Suppose 0 = w*c - 4*c. Solve 5*m - 25 = -c*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r - 20. Let y be z(-5). Solve -3 = -m + 5*k - 25, 3*m - y*k = -16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 - 13*o**2 - 109*o - 168.\nAnswer: -(o + 2)*(o + 8)*(o + 42)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s**2 + 1. Let k(b) = -b**3 - 2*b**2 + 4*b. Let z be k(-3). Let d = 4 + z. Calculate t(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -7*y + 4*i + 38, -22 = -2*y + 2*i. Suppose 3*x - y = 4*r, 3*r = -3*x + 4*r + 6. Solve 0 = -5*p - 20, 2*p + x = w + 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from {p: 1, y: 1, m: 2, k: 4, b: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 36*d**2 + 2*d + 50. Determine a(-36).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31473 + -31470. Let y = 1\/6 + 0. Which is the nearest to q? (a) y (b) 0.4 (c) 0.2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.01, -416, 5, -2?\nAnswer: -416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -186, 64, -101, 13, -1.\nAnswer: -186, -101, -1, 13, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4352780 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51744 and 62304?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -211833970 divided by -10?\nAnswer: 21183397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10b3 - -5?\nAnswer: -10aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 + y**2 - 7*y - 9. Let a be l(-2). Is a <= -13\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4571 (base 10) in base 3?\nAnswer: 20021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 26*x**2 + 56*x. Determine w(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2 + 87*p + 64. Calculate n(28).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1220, 1757, 2300, 2849?\nAnswer: 3404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.444 - 41287.\nAnswer: -41286.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 241*a**4 + 211*a**2 wrt a?\nAnswer: 5784*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 38*z - 72 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6636 (base 12) to base 8\nAnswer: -26012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 8*l**2 + 8*l - 9. Let r be b(-9). Let z be (-2)\/5 + (-14)\/(-10). Suppose r = t + z - 3. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101423233 (base 5) to base 3\nAnswer: -210100201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -19. Suppose -m = -5*y + 17. Solve y*j + 3*h = -4 - 19, j + 1 = 4*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**5\/2 + 5*f**4\/2 + 30*f**3 + 10*f**2 - 40*f = 0. Calculate f.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-29)\/(-9) - (-9)\/(405\/(-10)). Let j be 6*3\/6*r. Let v be j\/(-15) - (-624)\/40. Which is smaller: v or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/2)\/g)\/g**4*g**(-6\/11)\/g**(-7) assuming g is positive.\nAnswer: g**(87\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(-1)*(2 - 1). Let g = b - 11. What is the nearest to -1 in -0.2, -2\/9, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 791 + -1?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51400)\/(-1542)*(-2)\/(-60)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + sqrt(343) - (sqrt(7) - sqrt(175)*2)) + sqrt(112) + -1 + sqrt(112) + 4)**2.\nAnswer: -24246 - 864*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 5*y - 10. Let l(k) = 3*k**2 + 5*k - 11. Let z(j) = -3*l(j) + 4*o(j). Let f = -13 + 7. Let x(w) = w**2 - 4*w + 6. Calculate f*z(s) - 7*x(s).\nAnswer: -s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 - 3*g**2 + 6*g**2 + (-9*g - 6*g**2 + 9*g)*(-5 + 4 - 2) + 3*g**2 - 26*g**2 - 18*g**2 + 2*g**2 - g**2 - 2*g**2.\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**4*i + 2846*h*i*w - 37*i*w - 112*i wrt h.\nAnswer: 8*h**3*i + 2846*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 889.62?\nAnswer: -889.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 499921.6 millilitres to litres.\nAnswer: 499.9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 62*q**2 - q - 43. Give j(-31).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-2)\/sqrt(10).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Suppose 0 = -k - 0 + 4, -b*q = -k - 1396. What is q rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**2 + 2653*l + 24000. What is c(-9)?\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74142 - -74457.79. What is r rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sybooooooybsosobo. Give prob of sequence bbyy.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**(-1\/18)*(k\/k**(-1))\/k**(-2\/19)*(k**(-4\/5)\/(k\/(k**(-2)*k)*k))**(-47) assuming k is positive.\nAnswer: k**(154598\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-94)\/(-141))\/(3\/(81\/(-2))). Does 37 divide j\/6*-106 - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/396525 and -59\/342100?\nAnswer: 17447100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.101? (a) 1\/3 (b) -8\/13 (c) -1 (d) 0.3 (e) 2\/69 (f) -1\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h + 13 + 9 - 21. Calculate i(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 65 = 5*r + 9154, -r + 18383 = 4*s. Is s a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17070 + -17073. Let d(v) = 8*v + 9. Let z(l) = l - 1. Let x(p) = -d(p) + 5*z(p). Let f(j) = -j - 5. Let s(r) = 8*f(r) - 3*x(r). Calculate s(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -15) + -27 + (-24 - 28 - -19)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 + 4*g**2 - 7*g**2 + 3*g**2.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10*3\/(-12)*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27616738*l**2 - l**3 - 56 - 27616738*l**2.\nAnswer: -l**3 - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p**2 - 6*p - 165. Let s(r) = -20*r**2 - 19*r - 497. Let b(g) = 17*o(g) - 6*s(g). Let w be b(-21). Put 1, w, -4 in increasing order.\nAnswer: -4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 17 (b) 1\/2 (c) -53.46 (d) -4 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 6 = -6. Let m be 14\/3 + (0 - p\/9). Solve 0 = m*n + 3*x - 5, 3*n - 2*x - 21 = 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -9, 689, 0.4, -3, 5 in ascending order.\nAnswer: -9, -3, 0.3, 0.4, 5, 689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.961 + 1.461. Let w = -290.8 + 291. Is w bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:13 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*j + 63*j = -6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h\/(h\/(h**(1\/6)\/h*h)))\/((h*h\/h**7)\/h))**(3\/28))**(-12\/13))**(11\/3) assuming h is positive.\nAnswer: h**(-473\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 115494000 to the nearest 1000000.\nAnswer: 115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 6 (c) 18\/17 (d) 3\/7 (e) 2\/19 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**3 + 2*g**2 - 19*g + 2. Let u(q) = -q**2 + q - 1. Determine -d(c) - 2*u(c).\nAnswer: 4*c**3 + 17*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3*v - 14*a**2*g + 721*a**2*v**3 + a*g*v**3 + 45*a*g*v + a*v**3 + 192*v**3 + 2*v**2 wrt a.\nAnswer: -12*a*v - 28*g + 1442*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 42?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 2*a + a)*(a - 5*a + 3*a)*(-759*a + 1911*a - 777*a)*((7 - 2 - 3)*(-a + 2*a + 0*a) - 4*a + 2 - 2).\nAnswer: -1500*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.92333807 - 2.\nAnswer: -0.07666193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25301.675895 - -25302. Let m = c + 0.065705. Let a = m + -0.39. What is a rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 + 80 = 4*t. Suppose 4*s = -4*k + 60, 0 = -4*k - 3*s + t + 2. What is the remainder when 36 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}