diff --git "a/data/dm_maths/full_data_1/1734_11255.jsonl" "b/data/dm_maths/full_data_1/1734_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1734_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Work out 0.04989 + 4.\nAnswer: 4.04989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -82, -137, -212, -313, -446, -617?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 6 + 9. Suppose -4*m - t + 7 - 2 = 0, -t + 5 = -m. Let k(g) = 2 + m - g - g. Calculate k(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/16 and 7\/13250.\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -1\/2, -0.06, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/((-15)\/(-40))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 9 - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53072402 divided by -1.\nAnswer: -53072402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49\/(12\/(-16) - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8338 divided by -4169.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50106, 100211, 150316, 200421, 250526, 300631?\nAnswer: 350736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m - 3*i + 1172 = -22*m, -2*i = 3*m - 3558. Calculate the highest common divisor of 35 and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -278170662961?\nAnswer: 278170662960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j - 35 = 3*i - 19*j, 2*i = -3*j - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.951865ml in litres?\nAnswer: 0.006951865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -785.768 and -80153?\nAnswer: 79367.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. Suppose -h = 3*t - 6*h - z, 0 = -t + 3*h - 6. Let w = -4 + t. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 14*n**3 - 3*n - 3. Let v(t) = -561*t**3 + 121*t + 121. Give 242*g(d) + 6*v(d).\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -424972, -849943, -1274918, -1699897, -2124880?\n\"Answer: -2*l**2 - 424965*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q - 3 + 5 - 1)*(2 - q - 2) in the form d*q**2 + b + s*q and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in -2\/15, 0, 3\/40?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 3*m**2 + m - 5 - m**2. Let f(j) = -7*j - 4. Let r(t) = 13*t + 8. Let b(q) = -11*f(q) - 6*r(q). Let a be b(0). Calculate v(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 243532, 243565, 243600, 243637, 243676, 243717, 243760?\n\"Answer: a**2 + 30*a + 243501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u**3 - 412*u**2 - 4669*u + 1058 = 0. Calculate u.\nAnswer: -23, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96404, -96403, -96402, -96401, -96400, -96399?\nAnswer: -96398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1398, -2798, -4196, -5592, -6986, -8378, -9768?\n\"Answer: t**2 - 1403*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 478289156*g*j**3 + 2762*j**3 + 13342*j wrt g?\nAnswer: 478289156*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + -6 + 9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17*a**2 + 8*a + 5. Calculate n(-2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2744) - (sqrt(2744) + -2*sqrt(2744) - sqrt(2744)))\/(sqrt(24)\/sqrt(3)*-4))**2.\nAnswer: 3087\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 5 - 10 - (56 + -14 + -8).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.565 to zero dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*42\/(-9)*9. Let r be 4 + ((-6)\/3 - (-16)\/(-8)). Is h greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l = -6. Which is the third smallest value? (a) -4 (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 109*x. Let y(t) = 140*t**2 - 10*t - 14. Let g be y(-10). Let v(s) = -g*s + 14086*s + s**2. What is d(v(h))?\nAnswer: 109*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(5)*2 + sqrt(5) + -4).\nAnswer: -4 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21406040.4 plus -0.08?\nAnswer: 21406040.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -100 - 4?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8831663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {e: 13, u: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -21, 0, 49\/569?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 204 + 419. Let r be 7*(-24)\/(-28)*-63. Let m = r + n. Is m a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 c when four letters picked without replacement from {r: 4, c: 14}?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/13*(-3)\/(-35).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.74 greater than or equal to -1.03979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 373331920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 12, 46\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**3\/2 - z**2\/2 - 296*z. Calculate x(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -269, -231, -113, 127, 531, 1141?\nAnswer: 1999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141 by -47.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/5 + 42692*w\/5 = 0. Calculate w.\nAnswer: -21346, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/12*(-128)\/16.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -8 - -3 - (-11 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 161071403*-11\nAnswer: -1771785433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.73 - 6.40408025\nAnswer: -7.13408025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1066 * -72.\nAnswer: -76752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10*(19\/(-4) + 4)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 8:15 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/6063, 2\/5, -0.1, 2, 177?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 4*a = -48. Suppose 0*l = -3*l + a. What is the smallest common multiple of 20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, y: 8, i: 8, d: 1}. Give prob of sequence yii.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7515, 29472, 80325, 174522, 326511?\n\"Answer: 2408*f**3 + 5101*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 0.7, -5.7, -5 in ascending order.\nAnswer: -5.7, -5, -2\/9, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.5 (b) -1.043 (c) 2\/21 (d) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -9*(-13 - (-5140)\/396)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 3*w - 29, -w + 89283 = -3*t + 89288 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icnku. What is prob of sequence iu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is bca5 (base 14) in base 8?\nAnswer: 77651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*w + 24 = w, 5*x = 3*w - 30. Let m be (-3)\/x*(-1 + 49). Suppose 263*b = 255*b + 96. What is the highest common factor of m and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 43?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (4 - 3)) + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30013.3886 + 30008. Let a = y - -17.3818. Let z = 12 - a. Round z to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -19*p**2 + 795*p + 817. Give y(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -14030a1?\nAnswer: -1403097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79710.17 weeks to hours.\nAnswer: 13391308.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 845.7227 millennia to months.\nAnswer: 10148672.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -16*p - 4. List the prime factors of t(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 1488?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*r = 18 + 6, -3*r - 2 = 5*w. Suppose -2*n = -7*n - w*b, -7 = 4*n + 3*b. What is the second derivative of 0 + n*g - 3*g**2 - 3 + 3 wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73545437 - 2034?\nAnswer: -73547471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110735 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 + -76. Let t(v) be the first derivative of 0*v - 5\/3*v**3 + 0*v**2 + 1\/6*v**c + 0*v**4 - 6 + 0*v**5. What is the third derivative of t(q) wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460238 and 1193542.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 1 + sqrt(80)*-5)**2.\nAnswer: -32*sqrt(5) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 + 348\/20)\/((-2)\/(-5)). Solve -4*d - b = 5*i, 4 = -0*i - 2*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 14*u - 829. What is the lowest common multiple of h(86) and 45?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 123bc68?\nAnswer: 123bc66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Suppose f*q + 3*q - 42 = 0. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 9) in base 12?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 23 = -5*v, 0 = 3*t + 2*v - 6*v. Let w(j) = j**3 + 20*j**2 + 18*j - 16. Let u be w(-19). Solve -2*o + 35 = o + 5*q, -t*o - u*q + 32 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1968890 by -22.\nAnswer: 89495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -353693.\nAnswer: 7\/353693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 + 72 = 59*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, 16, -4, 1 in descending order.\nAnswer: 16, 13, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2.03 - 287\nAnswer: -289.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -585*y + 16. What is the units digit of u(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*d - 4*b + 12, -d - 16 = -4*b. Suppose 5*v + p - 291 = 299, -4*p + 488 = d*v. Calculate the highest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m**2 - m**2 - 2*m**2 + m**2.\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2024, 3990, 5886, 7718, 9492, 11214, 12890?\n\"Answer: g**3 - 41*g**2 + 2082*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(720) + sqrt(720)*-1 + sqrt(720) - sqrt(720))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18515 + 18525. Let a(s) be the third derivative of 0*s + 0 + 0*s**4 + 1\/336*s**8 + 0*s**3 - 1\/60*s**5 + 1\/210*s**7 + g*s**2 - 1\/120*s**6. Factor a(n).\nAnswer: n**2*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -9, -29, -67, -129, -221, -349?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 60*l**2 - 55. Let v(x) = x**2 - 1. Let b(q) = -110*v(q) + 2*z(q). Let t(f) = -10*f. Give b(t(g)).\nAnswer: 1000*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(6\/11)\/y*y)**(-7)\/((y**(-2\/7)*y)\/y**(-3)))**(-2\/85) assuming y is positive.\nAnswer: y**(2238\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from {v: 1, s: 1, w: 1, a: 1, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1146 and -707 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-2)*5\/(10\/(-1)). What is the nearest to -3\/2 in i, 2\/17, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 13*s**2. Let c(o) = -o**2 - 47. Give p(c(g)).\nAnswer: 13*g**4 + 1222*g**2 + 28717","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 130*c**3 + 82*c**3 - 30*c**3 + 107*c**3 + 5*c - 4 - 2*c**2.\nAnswer: 289*c**3 - 2*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053972.\nAnswer: 2, 3, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeihmhym. Give prob of sequence xhy.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1825567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 10*j + 45 = 5*j, 4*j = -i - 43. Let o = 5454265\/738 - -27047\/82. Let x = o + -7712. What is the common denominator of i and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 f, and 1 p when four letters picked without replacement from {p: 1, a: 1, z: 1, f: 2, w: 1, s: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, -4, -7, -3\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = a - 192, -5*a + 1153 - 199 = -3*j. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/3*27 - (1 + 4). Differentiate -245*o + f + 265*o - 10 with respect to o.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**4\/16 + 29*t**3\/12 - 84. Factor l(g).\nAnswer: -g**2*(g - 29)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83\/4 or 22?\nAnswer: 83\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 10*p + 5. Let m be u(1). Let r be 4\/(-12) - (-65)\/m. Suppose -276 = -3*h - 3*s, -h + 448 = r*h - s. What is the highest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5252446 (base 7) to base 6.\nAnswer: 21334444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + -0.2. Let p = -7 + 15. Let y = 511421.5 - 511421. Which is the fourth smallest value? (a) 5 (b) p (c) f (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71803\/270 - 1317\/5. Find the common denominator of q and 113\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50 - (-10 - -9)) + (-2 - (-3 - 0)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.477 + 0.177. Put u, 2.5, 0 in increasing order.\nAnswer: u, 0, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -731. List the prime factors of f.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2821 - -7380. Calculate the greatest common factor of 94 and c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2971819686.\nAnswer: 2, 3, 11, 45027571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.080491131743 and -0.4.\nAnswer: -0.480491131743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -g - j - 95, 0 = -5*g - 4*j + 164. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 c when three letters picked without replacement from jjcuuubucj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*v = 2*w - 24, 2*w - 3*v + 20 = 0. Let c = -8 - -11. Put -1, c, w in increasing order.\nAnswer: w, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -787, -786, -785, -784, -783, -782?\n\"Answer: a - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/2 (b) 0.5 (c) 13 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x + 7. Determine v(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 101, -21, -3, -4 in increasing order.\nAnswer: -21, -4, -3, -1, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -37*i + 6293. Calculate the greatest common divisor of 87 and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 687 + -475. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 85*f**2 - 1415*f + 189420. Calculate i(92).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76.963 + -77. Let u = -1.037 - v. Which is the nearest to u? (a) 5 (b) -0.5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*y - 408 - 614 = 542 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 3*v + 1016834964186 - 1016834964186.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 38*u = 43*u, 0 = f - u. Let i be ((-12)\/(-18))\/((-4)\/30). Sort f, i, -3, 3 in descending order.\nAnswer: 3, f, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -2017?\nAnswer: -2019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 280.4139432105.\nAnswer: 285.4139432105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*c - 3*d, 4*c + d = 2*d + 26. Suppose -23*g - 122 = -168. What is the least common multiple of c and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13218 * 0.5.\nAnswer: 6609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53564 is divided by 26353.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -668437 (base 11) in base 3?\nAnswer: -2000010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -1. Let m = f + 3. Let d = -1 - m. Which is the third smallest value? (a) 0.2 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1251738 and 61\/16944.\nAnswer: 10013904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**5\/100 - p**4\/30 - p**3\/30 - 2*p + 289. Factor o(u).\nAnswer: -u*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 135, 159, 183, 207?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -177 (base 14) to base 5\nAnswer: -2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52693*d**4 - 56096*d**2.\nAnswer: -1264632*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 12163*z + 3. Let v be b(-1). Let x = v + -23390. Round x to the nearest one thousand.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 8. Let p be r(3). Solve -c - p*s = -s + 24, -s = 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**4\/4 - 2*t**3\/3 + t**2\/2 + 2*t + 71. Let u be p(0). Solve 0*r = -u*r + 2*y + 2, 5*r + 3*y - 5 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/22 - 5\/(110\/356). Let b be (0 + t\/6)*-3. Solve 0 = 4*c + 12, 4*u - b + 1 = -3*c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + d + 1. Let p = -21 - -24. Let q be (6\/18)\/(p\/9). Let j(z) = -5*z**2 + 3*z + 5. Suppose 0 = -15*n - 0*n - 90. Determine n*x(m) + q*j(m).\nAnswer: m**2 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 7*v**2 + 8*v + 4. Let l be o(6). Suppose -4*q - 2 = -2*q, -5*q + 11 = 4*m. Calculate the highest common divisor of l and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -963*0.54157.\nAnswer: -521.53191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Suppose 7*f = 3*f - 8. Let v be -6*-4*f\/12. Which is the smallest value? (a) v (b) -1\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/28)\/(45\/(-21)). Let g = -6243 + 6314. What is the fourth smallest value in 1\/7, v, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135315 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 175537023?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 + -0.3. Let x = 0.055 + -3.255. Let y = 12.2 + x. What is the second biggest value in y, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 360 = -5*w, 2*w = 24*a - 27*a + 137. Which is smaller: w or 80?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 0 = 4*f + 5 + 6, -34*p + 39 - 53 = -3*f - 57 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 14205?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8364121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1 - 4*b - 61*b**3 + 5*b - b**3 + 16*b**3. Calculate the remainder when f(-1) 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 ifffffffifiififffi. Give prob of sequence iif.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 96.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 961\/1521471 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 1.2 (c) 11 (d) -0.2 (e) -2013 (f) -0.5 (g) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c + 369514993 = 2338314993. What is c rounded to the nearest one million?\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2532, -5069, -7604, -10137?\nAnswer: -12668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1142*c - 1199*c = -941412. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 1. Let g(f) = -6*f**3 + 2*f**2 + 174*f - 5. What is -5*b(u) - g(u)?\nAnswer: u**3 - 2*u**2 - 174*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.25054m to centimeters.\nAnswer: 2325.054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (14 - (8 - 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-2 + 0 - -3). Let a(b) = 5*b - 5. Suppose 3*u + 8 = 2*u. Let x(q) = -14*q + 14. Calculate g*x(n) + u*a(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-14) - -13*6\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 + -50. What are the prime factors of 24\/v + 767\/5?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d + 1. Let g be h(-1). Let w = -5 + g. Let b be (-2)\/(-18)*3 - 2. Is b <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-245)\/(-2)*(-8196)\/14343.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18574, -16825, -15076, -13327, -11578?\nAnswer: -9829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -28. Let x = -1 + d. Sort x, 12, 0.1.\nAnswer: 0.1, x, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2997735 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3140028\/301 + 10432. Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 - (-100 - -47)) + -73.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*b = -b + 22, -5*b = -4*g + 29. Let h(w) = -7*w**2 + 9. Let y(p) = 6*p**2 - 8. Determine g*y(v) + 5*h(v).\nAnswer: v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + sqrt(833) + 1 + -4)**2 + -4.\nAnswer: -84*sqrt(17) + 3337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*(-3 + sqrt(162) + 0)*-6*-3*3)**2.\nAnswer: -5674536*sqrt(2) + 17952841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -473 or -3314\/7?\nAnswer: -3314\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from {b: 1, i: 1, f: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + 2*sqrt(132)*1 + sqrt(132))\/(-1*sqrt(588)) - ((sqrt(77)*-2)\/sqrt(7)*-3 + -1).\nAnswer: -46*sqrt(11)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 81 = 5*i, -1687*g = -1689*g - 3*i + 49 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19437\/4 - -4884. Calculate the common denominator of 69\/20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 4:47 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7) - (-81)\/84. What is the closest to -0.2 in n, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -9) + -10 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535 (base 9) to base 4.\nAnswer: 12311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -1. Suppose 0 = f*r - 2469 - 1992. Suppose 412 - r = -5*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 3*q + 42 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -9*v**3 + 8*v - 8. Let p(u) = -u**3 + u - 1. Suppose 4*g = 118 - 98. Determine g*f(a) - 40*p(a).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1 - b - 1 + 0 + 0*b. Let h be z(-5). Suppose 3*o + 5*j = h + 28, -23 = o - 5*j. Solve 0*c - c = -o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -154, -123, -8, 197, 498?\nAnswer: 901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = s + 304, -2*a - 4*s = s - 127. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 14*h - 1. Let y = -11 - -24. Suppose -5*o - 3 = -y. List the prime factors of f(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4816 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 8:53 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 69*t - 288. What is y(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -9. Suppose j = -m*j + 8. Suppose -21 = -3*i, -14770*i + 24 = -2*k - 14766*i. Solve -k*q - 2 = j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -o + 6*o. Let c(s) = -s**3 - 6*s**2 - 14*s + 4. Let b be c(-4). Let g = b + o. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10918 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 2*c**2 + c. Let j be u(2). Let m be 85 - -2*2\/4. Suppose 0*y - m = -j*y. Calculate the remainder when y is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532*y + 557 = -424 - 458 - 1753 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.1387 (c) -10182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 340 - -398. Suppose -5*k = k - a. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(109*o**4 + 5*o**4 + 21*o**4) + o**4 + 0*o**4 + 4*o**4 to j*o**2 + q*o**3 + t*o + r*o**4 + g and give r.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 168001 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: Is 3898399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -952, 0.01, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-10 + (6 - -20) - -2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1037 - -1036.9524. Round x to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -3*(sqrt(1573) - (sqrt(1573)*-1 + 1)))*5)**2.\nAnswer: -9900*sqrt(13) + 1415925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**4 - 2*n**4 - 3*n**4)*(31 + 6 + 47) to l + s*n + r*n**2 + i*n**4 + d*n**3 and give i.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-5)*q)**(-2\/7) assuming q is positive.\nAnswer: q**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8 = 2. Let m = 4 + -3.9. Let a = m + 0.4. Sort w, a, -0.4 in decreasing order.\nAnswer: w, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.17 in 2, -0.08, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3*x = -9*x - 16, -2*v + 10 = -x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnwnn. What is prob of sequence nnnw?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 71253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 954 (base 10) in base 16?\nAnswer: 3ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 3:18 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 + 9*x + 1. Let n(z) = -z**2 - z - 1. Let h(s) = -l(s) - 4*n(s). Let b = -264 - -260. Let j(w) = w**2 + 4*w + 7. Let c be j(b). Determine h(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, q: 1, r: 2, d: 1, e: 5}. What is prob of sequence eroq?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2396\/(-5))\/((-8)\/(-1000)) - 0. Round x to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 + 0*p**2 - p**2)*(-3*p + 3*p - 3*p) + (0*p**2 - 4*p**2 + 2*p**2)*(0*p - p + 2*p) to d*p + g + o*p**2 + s*p**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 249563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1834440 divided by -611480.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -86 - 3?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 + 1 + (-444)\/36. Which is the nearest to 0.14? (a) -53\/4 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-47 + -13 + 72).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2734?\nAnswer: 2, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 143133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t = 0. Let b be (-2)\/4*2*t. Let a be -4 + 456\/108 - 40\/18. Put b, 4, a in ascending order.\nAnswer: a, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 10:26 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 0*l**2 - 3*l**3 - l**2 + (2*l - 9*l - 8*l)*(-l**2 + 0*l**2 + 2*l**2).\nAnswer: -18*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 454 - 135. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at most as big as 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from kcqkccccblqc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*sqrt(136)*5)\/((sqrt(64)*3*4)\/sqrt(8)).\nAnswer: 10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 34 = 2*c, -2*d = 3*c - 34 - 12. Suppose 3*x + 4*s - 7 = 37, 0 = -4*x + 4*s + c. What is the lowest common multiple of x and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25126.38763 rounded to the nearest integer?\nAnswer: 25126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**7*y*y\/y**(-6\/11)*y*y**9*y\/y**(-9) assuming y is positive.\nAnswer: y**(325\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*1)\/(2\/64*-4). What is the highest common factor of t and 60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10496365.\nAnswer: 5, 11, 190843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 40. Let o be 1 + 1*1\/(-1). Calculate the lowest common multiple of 20 and (-42 - (2 - o))\/i.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 j, and 1 d when three letters picked without replacement from {c: 1, j: 1, y: 4, d: 3, z: 4}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87\/(-116)*(24\/24)\/(4\/(-2))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -26*d - 314. Calculate y(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 - 25*h**2 - 44*h + 24. Determine i(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3 + 4)*13)\/1. Calculate the greatest common divisor of 65 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, -797, -1685, -2907, -4469, -6377, -8637?\nAnswer: -11255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -4, 2\/65?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20343331 + -234?\nAnswer: 20343042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10*v - 5. Let q(z) = -5*z + 2. Determine 2*g(j) + 5*q(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.7858 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 54 + 2\/(-2). Calculate the greatest common divisor of 19 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 89*v**2 - 11*v + 1022. Let c be s(89). Let o be (-46)\/(-4)*(-1 - -5). Is c less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 227 - 215. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 23*c - 29. Let b be i(22). Let t be b - -7 - (-1 - -1). Suppose t = -2*y + 6*y - 348. Calculate the remainder when y is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/6 - 4\/(-12). Let t be -2 - 39\/(-9) - o. Which is smaller: 0.1 or t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -49 (b) 2\/9 (c) 19 (d) 5 (e) -948\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 4*f**2 + 5*f + 5. Let b be o(-3). What is the units digit of (((-8)\/12)\/((-4)\/(-426)))\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2776 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, 53, 113, 177, 245, 317?\n\"Answer: 2*n**2 + 50*n - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 93?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -2 - 1\/50*q**5 - 1\/600*q**6 - 11\/120*q**4 + 14*q**2 - 1\/5*q**3 + 0*q. Factor j(n).\nAnswer: -(n + 1)*(n + 2)*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22494 is divided by 7447?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 4*l**2 - 4\/45*l**5 + 19\/36*l**4 + 0 + 0*l - 10\/9*l**3 - 1\/180*l**6. Factor u(m).\nAnswer: -2*(m - 1)**2*(m + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 31\/22, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 2\/(-4)*6. Solve 3*w + 3 = z, -b - 2 = -w + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -4, -0.037 in descending order.\nAnswer: 2\/7, -0.037, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**4\/24 + 7*n**3\/3 - 8*n**2. Let k be p(12). Solve 4*g + 25 = -5*b, k*b + 15 = -3*g - b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1003022202 (base 4) to base 10\nAnswer: 275106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f + 36*f = 60 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 71*y**3 + 5*y**2 - 32*y - 31. Let r(v) = -24*v**3 - 2*v**2 + 11*v + 11. Let n(d) = 3*h(d) + 8*r(d). List the prime factors of n(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -230304241 - 1131?\nAnswer: -230310422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 29.5.\nAnswer: 24.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y - y + 0*y)*(-2*y**2 + 3*y**2 - 2*y**2) + 5*y**3 + 16*y**3 - 6*y**3 as l + x*y**2 + q*y + f*y**3 and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 178.145.\nAnswer: -180.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 140, 150, 162, 176, 192, 210?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/3 + 13*y**3\/3 - 2*y**2 - 24*y.\nAnswer: -y*(y - 12)*(y - 3)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7.3*1.2\nAnswer: 8.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 - 38*j**2 - 29*j + 158. Let c be m(22). What is the highest common divisor of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4\/5 + 6*d**3\/5 + 36*d**2\/5 + 42*d\/5 + 3.\nAnswer: -3*(d - 5)*(d + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7592\/(-312))\/(-73))\/(1\/69).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 2 + 11260*p + 11 - 1647*p.\nAnswer: 9613*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 248\/7 + 4\/7*b**2 - 132\/7*b = 0. What is b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -3 - 3)\/3. Let u = -7 - -3. Let g = -64 + 574\/9. What is the closest to 0 in g, u, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 72, 94, 96, 72, 16, -78, -216?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((3\/(-21)*16)\/((-500)\/(-350)))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 23 = -6 + 7. Let o(q) = -q**3 - 3*q - 3. Let z(w) = w. Let k(l) = o(l) + 4*z(l). Let h(p) = -2*p**3 + 2*p - 5. Calculate g*h(j) + 5*k(j).\nAnswer: j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -308.2 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 1, -484 in ascending order.\nAnswer: -484, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 16*c + 5. Let m be z(2). Let h = 42 - m. Suppose 3*i + 0*f + 3*f - 39 = 0, -3*f - 33 = -h*i. Calculate the least common multiple of i and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1948.023 - 1852.11. Let v = c - -0.087. Let r = -95.999954 + v. What is r rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 719 = -4*z + 23, 3*z + 1357 = 4*b. Solve b*g - 5 = 333*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1377 - -2406. Let h = -1028.517 + b. Let q = -0.5 + h. Round q to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/63)\/(12\/42).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 35*g**2\/2 + 4*g + 166. Let j(f) = f**2. Calculate j(z(a)).\nAnswer: 1225*a**2 + 280*a + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.18, 0.3, -3\/4 in decreasing order.\nAnswer: 0.3, 0, -0.18, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d - 63. Calculate t(24).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:28 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9661364 and 61.\nAnswer: 9661425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 7*v + 10. Let n be k(-2). Suppose 11 = -4*p - 5, n = -4*l - 3*p + 2672. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 0*y - 4*y + y - 12.\nAnswer: -3*y - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) -4 (c) 1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 21837*a**2 + 21842*a**2 - 3 as o*a**2 + k*a + f and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3689 and 215509.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*w - 80 = -5*v, -2*v - w = -32. Let f be -1*2\/4*0. Suppose f = -2*h - 5*a + v, h = 4*h - 5*a - 49. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**3\/5 - 48*t**2\/5 - 384*t\/5 - 1024\/5 = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2167*h - 20 = 2172*h - 5*b, h = 7*b - 46 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -5*t**7\/168 + t**6\/180 - t**5\/60 + t**4\/24 - 46*t**3\/3 - 54. Let y(a) be the third derivative of k(a). Determine y(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 2 - 1) + (-1008)\/(-364). Suppose 5*z + 7 = 27. Suppose c - z = -c. Is c greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1, 2\/9, -20, -2.4, -2 in descending order.\nAnswer: 2\/3, 2\/9, -1, -2, -2.4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599383 to the power of 1\/2, to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4187865 rounded to the nearest one thousand?\nAnswer: 4188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**6\/180 - v**4\/6 - 3*v**3\/2 + 15*v**2. Let y(s) be the first derivative of c(s). Let r be y(-2). Solve -7 = -r*h + 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20081?\nAnswer: 43, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4 + 75\/30. Suppose 3 = -3*u + 3*z, -5*u + 32 = -2*u + 4*z. Suppose 81 = 3*v + u*w, 3*w = 4*v + v - 164. Solve 4*d = 5*y + v, -2*d + 7 = -y - l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4490, -4549, -4556, -4505, -4390?\nAnswer: -4205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 21*w + 32 = -18*w, 5*b - 40 = -5*w. Factor 576*n**3 - 88 + 35*n**b + 320*n - 315*n**3 - 80*n**2 - 5*n**5 - 152 - 321*n**3.\nAnswer: -5*(n - 3)*(n - 2)**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 - 19817*f**2 + 237742*f - 396220.\nAnswer: (f - 39622)*(f - 10)*(f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8619104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 443572, 443434, 443296, 443158?\nAnswer: 443020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280095786 is divided by 523.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 q when three letters picked without replacement from qnqnqjqjqjqnjq?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**3 - 29435*d**2 + 2123160*d - 6104700 = 0. What is d?\nAnswer: 3, 70, 5814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1323293986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60197 - 10955729\/182. Let u = 3\/26 - f. What is the nearest to -5 in 0.1, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.2 - 17.9. Sort 4, t, 29, -2\/3.\nAnswer: -2\/3, t, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3580308 divided by -6\nAnswer: 596718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58542 and 23322778?\nAnswer: 1774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57.1 + -57. Let i = 1341\/13 - 103. Which is the nearest to -2? (a) -1 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**2 + 1\/60*q**6 + 1\/210*q**7 - 7 + 0*q + 0*q**4 + 0*q**3 + 1\/30*q**5. What is the third derivative of g(t) wrt t?\nAnswer: 24*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*f - f + 32 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -2\/105*f**7 + 1\/8*f**4 - f**2 + 0*f + 0 + 0*f**6 + 0*f**3 + 0*f**5. Find the second derivative of o(q) wrt q.\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136 - 134. Solve 2*x + z - 4 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 12:50 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16317?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -852.4379489 - 11397.9920821. Let a = 12249.88 + v. Let q = a - -0.55. What is q rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - 0.2. Let r = -1 - d. Let o = -0.3 + 0.3. Which is the closest to o? (a) 0.1 (b) 0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.46696507 rounded to 1 decimal place?\nAnswer: -28.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*k + 3. What is the lowest common multiple of 13 and 1\/(k*(-2)\/(-32))?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 46. Let j = w + 8. Suppose -5*p - j = -5*x + 2*x, -x = -3*p + 5. Solve 0 = v + 2*c, v - 2*c = -x + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 - 97.7. Which is the smallest value? (a) n (b) -3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000000010010 - -1101010100?\nAnswer: 10001001101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793738239?\nAnswer: 3, 7, 3881, 9739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*((-22)\/66)\/(1\/(-11)). Which is the closest to -2\/3? (a) 7 (b) -5 (c) 0.5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -15 (b) -1\/3 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 9 = -3*h - 7 + 5, -5*h + 4*d - 6 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - -2*(-458)\/(-4). Let p = m + -35. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4)*8\/(-6). Let s(l) be the third derivative of -1\/24*l**4 + 1\/6*l**3 - 17*l**2 + 1\/15*l**5 + 0*l + 0 - 1\/120*l**6. What is s(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1635760 divided by -5\nAnswer: -327152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 13*r + 13. Let p be o(-6). Let y = 15 - p. What is the remainder when 30 is divided by y\/(-25)*(-10)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-243)*(-1)\/(-1*6\/42)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + u**2 + 15*u - 5. Let m(y) = -39*y + 4606. Let k be m(118). Calculate c(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0 (c) -1\/7 (d) 12 (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m**2 - 18*m**2 - 9*m**2 + 22*m**2.\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 6084*k. Let w(b) = 2*b. Give w(u(h)).\nAnswer: -2*h**2 - 12168*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1, -2295 in increasing order.\nAnswer: -2295, -10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1081, 1837, 2599, 3367?\n\"Answer: 3*q**2 + 747*q + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31743869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -1. Suppose z = -5*k - 2*z + 72, m*k - 4*z - 79 = 0. Suppose 5*j - 45 = -k. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, h: 1, j: 4, n: 3, t: 4, x: 1}. What is prob of picking 1 n and 1 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/59)*b)**(-5\/2))**25)**40 assuming b is positive.\nAnswer: b**(-142500\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 414?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3713307 to the nearest integer?\nAnswer: 1927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*i**3*w**3 - 463*i**3*w**2 - 2*i**3 - 3*i*w**3 + 4*i*w**2 - w**2 - 3*w wrt i.\nAnswer: 36*i*w**3 - 2778*i*w**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 3*p - 18, -10*d + 24 = -14*d + 3*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 11:37 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**6\/120 + s**5\/5 + s**4\/4 - 13*s**3\/6 - 4*s**2. Let z be l(-11). Let t = z + 0. Does 21 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77517 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 n = 20 - 19.82. Let d = 0.02 + n. Which is the smallest value? (a) 0 (b) 2\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -307501 + 0.2\nAnswer: -307500.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*y + 63*y - 922 = -5*k, 0 = -2*k - 5*y + 382. What is the remainder when k is divided by 14 + 4*3\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -1893933?\nAnswer: 568179.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (284\/(-639))\/(-1 - 1). Let i = 21 + -21.5. Which is the nearest to m? (a) -0.9 (b) -1 (c) -3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85 - (124 - 40)) + (16 - (-6 + 1)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316372 + 280216 = 10286*h for h.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 1. Let s(w) be the third derivative of -1\/24*w**4 + 29*w**2 - 5\/6*w**3 + 0 + 0*w. What is -s(n) + 2*t(n)?\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 68 = 4*i, -3*p - 20 - 10 = -2*i. Calculate the remainder when i is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 496870920 and 36610?\nAnswer: 496870920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 61, 108, 155?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10 = -4*u. Suppose 2*m = -5*t - 4, -20 = -0*m - u*m - 5*t. Let j = 13 - m. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-120)\/42)\/(4\/(-14)) - -3. Let q be 1*14\/(-7)*6\/(-4). Let w be 39\/15 + 4\/10. Solve -i - w*s = -t, 0*s - s = -q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at most 5.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-45))\/(66\/1320))\/(4\/(-69))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 455449.4 millennia to decades.\nAnswer: 45544940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 - 43. Let i = j - 49. Let u = -22 + 22.4. Sort u, -3, i.\nAnswer: i, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**3 - k**2 - k + 1. Let a be n(1). Find the second derivative of 26*u**5 - u - a + 2 - 28*u**5 wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (156\/(-80))\/(4 + -1) and 49\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/3, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*n + r, 3*r - r + 4 = 4*n. Let p be (-2 - 354)*n\/6. Let w = p - -58. What is the nearest to -1 in w, -2\/11, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6700 divided by 1.\nAnswer: -6700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23345)\/13485 - (-4)\/62?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 19 = 2*m, j + 3*j = -m + 13. Let b be 10\/1 + 3\/(-1). Does 17 divide m\/b - (0 + -18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 121188 and 121187 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/3293 not equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 36.89901nm?\nAnswer: 0.00000003689901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5319\/44, 12\/5, 0.4, 0.1 in ascending order.\nAnswer: -5319\/44, 0.1, 0.4, 12\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105.0086 + -105. Round s to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4480048 + h + 4480048.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxxxsxtxdxsssstxs. Give prob of picking 1 x and 1 s.\nAnswer: 49\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4417 + 1.44164676. Round l to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 4557456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -30*u + 813. Calculate the remainder when 138 is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -14. Suppose 12 = -4*x, 4*x + 95 = 4*v - x. Calculate the smallest common multiple of v\/5 + -4 + 4 + 7 and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*g + 879 = 0, 0 = -4*z + 2*g + 2631 - 1481. What is the highest common factor of 3179 and z?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 2:55 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 598815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h - 2*p + 4 = -13*h, p = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 501310, 501311, 501312, 501313, 501314, 501315?\n\"Answer: g + 501309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 552?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*n + 1 = 0, -15 = n - 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11024 - -11021. Sort -4, -5, q, 39.\nAnswer: -5, -4, q, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -452010 - 3?\nAnswer: -452013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.049 - 0.051. Let z = -7.4 - -2.8. Let v = b - z. What is the smallest value in 3\/4, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*t - 7 = -7. Solve 0*r = -t*r - 19*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*x + 713*x + 456*x + 31148 = 0 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*r - 5 = -21, -5*r + 1 = 2*a. Suppose g = -0*g - a*q - 33, 2*q = -4*g - 82. Calculate the common denominator of -65\/3 and (-12)\/g*(16\/(-3))\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 160564573\/27774 + -685\/3086. Let u = -5775 + v. What is the common denominator of (-30)\/(-1000)*16 + 2 + -2 and u?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 183, 2\/7, 1.6, 0, -1?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 4*b + 29. Let n be r(8). Let m(j) = -108*j - 2. What is the units digit of m(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (186 - 25)\/23*6\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200\/100 - -64*(-1 + 3*7)?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43020704 + -130?\nAnswer: 43020554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.788494km in millimeters?\nAnswer: 788494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 + 5*o**3 - 5*o**3 + (o**2 - 4*o**2 + o**2)*(3 - 3 - 2*o) + 2*o**3 + 0*o**3 - o**3 + (1 + 4 - 3)*(-9*o**3 - o**3 + 5*o**3).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 869\/7 - 124. Let u(r) = 2*r + 12. Let p be u(-8). Let n be 46*p\/56 - -3. Sort q, -0.2, n in decreasing order.\nAnswer: q, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 1. Let c(y) = y - 14. Let p = 1271 + -1274. What is p*z(i) + c(i)?\nAnswer: -2*i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3) + (3 - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (2 - 3) - -3. Let m(y) = -y**3 + 7*y**2 - 2*y - 6. Suppose -w = -14 + 2. What is the remainder when m(x) is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 60427324 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*x + 3*x + p, 33 = -3*x + 3*p. Let h(c) = -c**3 - 3*c**2 + 29*c + 22. What is the tens digit of h(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6742 + 6765.202. What is a rounded to 1 decimal place?\nAnswer: 23.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*h + 32*h + 22*h + 28*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25584 and 1950.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10732570661 less than -55?\nAnswer: 10732570606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 2*g**2 + 3. Let x(f) be the first derivative of -f**2 - 1. Give -4*q(c) - 9*x(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2228 at least as big as 1945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7995?\nAnswer: 3, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -0.081, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 3*a**2 - 5*a + 1. Suppose 0 = t + 4*f - 23, 2*t + f = 30 + 2. Suppose -2*z + 2 = 0, -4*z + t = 3*l - z. Give p(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = -5*l - 0*l. Let w be (1\/2)\/(6\/l). Let y be (-6)\/w*12\/8. Let k(i) = 8*i**3 - i**2 - i + 1. What is k(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1811175036?\nAnswer: 2, 3, 11, 17, 807119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 337\/(-2 - -4 - 1) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*26 - (2632\/(-84) + 33)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -1)\/((-3)\/(-15)). What is the nearest to -1\/4 in m, -0.5, 1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 4. Suppose 8*n + 4*d = 3*n + 10, 2*n = 5*d + 4. Let v be h(n). Let b = -250 + 256. What is the highest common factor of b and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o**2 - 8*o + 8. Let j(m) = m**2 + m - 1. Suppose -531*b = -188*b + 13720. What is b*j(z) - 5*n(z)?\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + 0.17. Which is the fourth biggest value? (a) 14 (b) 0.4 (c) g (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 161757 and 382.\nAnswer: 61791174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-8 + 0)) + -27 + -7 - -5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*t**3 + 2*c**2*t**2 - 58318*c**2 - 1591544*c*t**3 - 2*c wrt c.\nAnswer: -4*t**3 + 4*t**2 - 116636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (19 - 48) + (4 - 3*-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 38098\nAnswer: -3\/38098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + v + 17, 280*k - 278*k - 11 = v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1846 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 96c (base 16) to base 14\nAnswer: c44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**39*g*g\/g**(-22\/5)*g**32*g**(-1\/5) assuming g is positive.\nAnswer: g**(386\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605272 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x - 42 = 30*x. Does 10 divide ((-199)\/(-3))\/((-2)\/x) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233747852235 take away 6.56?\nAnswer: 233747852228.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -601*j - 666*j**2 + 601*j in the form y*j**2 + f + m*j and give y.\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/3 - 5*l - 26\/3 = 0. What is l?\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + -1.96. Let u = 3062\/85 + -201\/17. Let g = 24 - u. Which is the biggest value? (a) -4 (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -299*i - 103685. What is x(-347)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*s, -3*b + 0*s - 8 = s. Let j(u) = u**2 - u - 2. Let d be j(b). Solve -5*y + 19 = 2*k, -d*y + 29 = -4*k + k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4 - 155211*k**3 - 155210*k**2 = 0. What is k?\nAnswer: -155210, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -16.4, -1, 2, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -126, -141, -156?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -247788 divided by 6?\nAnswer: -41298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 77285 divided by -5\nAnswer: -15457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -823*s + 37101. Determine c(45).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) 31\/3 (c) -3\/8 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520*f**3 - 821*f**3 - 1966*f**3 - 2256*f**3.\nAnswer: -5563*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.9 times 0.3?\nAnswer: -14.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.38 - -4.38. What is the nearest to -1\/2 in j, 1, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2 (b) 0.2 (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 2754360?\nAnswer: 5508720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 7 = -3*p - 5*y, -2*p = 3*y - 3. Suppose -p*x + 32 = -37. Differentiate -x*i**2 + i**2 + 61*i**2 - 1 + 31 with respect to i.\nAnswer: 78*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/7, -2, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232382634 divided by -1249369.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*d**5*o + 11*d**4 - d**3*o - 7*d**2*o - 980*d**2 wrt d.\nAnswer: 1620*d**2*o + 264*d - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*v**3 + 491*v**3 - 246*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7098271?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, k: 7}. Give prob of sequence kku.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129278981?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.681938 to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 + 12*d**3 + 3*d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 38. Let h be 26\/x - (-40)\/(-30). Suppose -5*q + v + 2365 = 5*v, -3*v = -h*q + 1392. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5482848 divided by -195816.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 36*u = 31*u - 29, 75 = g - 11*u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 144652.732 to the nearest one thousand.\nAnswer: 145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 14, n: 1}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -21*f - 39. Let g be r(-5). What is the greatest common divisor of g and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 3*q + 68. Let i be f(0). What is the greatest common factor of i and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190440792, -380881581, -571322370, -761763159, -952203948, -1142644737?\nAnswer: -1333085526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8.81 (b) -251091 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**2 - 12*c + 13. What is the remainder when b(4) is divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/321 and -117\/14.\nAnswer: 4494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -57. Suppose 2*x + 5610602 = w*m - 2989400, -4*x = 3*m + 17199997. What is x rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 284*i**2 - 1093*i - 70244. Determine y(-281).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-3))\/(2\/3). Let i be (-4)\/(-2) + (y - 0). Determine m so that 2*m + i*m**3 + m**2 - 3*m**3 - 6*m**3 - 7*m**3 + 9*m**4 = 0.\nAnswer: -1\/3, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y + 6. Let k(h) be the first derivative of h**2\/2 + h - 12. Let x(o) = g(o) - 6*k(o). Let i(r) = -6*r - 2. Determine i(m) - 5*x(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, b: 2, p: 4}. What is prob of picking 1 b, 1 e, and 1 p?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - x + 4*x = -31, 0 = -3*g + x + 43. Let w(q) = q**3 - 7*q**2 - 17*q - 4. Calculate the remainder when g is divided by w(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 3*h - 4. Let p(c) = -5*c - 1. Let i be p(-1). Suppose 4*l + 5*t = 1, 0*t - 4*t = -i. Let x be l\/((-1)\/2) - 7. Determine w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(-24*m + 20*m - 53*m).\nAnswer: -114*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1)*y)\/y)**(-40)*(y\/(y\/(y\/y**(1\/4))))**(-1\/18) assuming y is positive.\nAnswer: y**(-1921\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -239 - -239.02. Which is the second biggest value? (a) 1 (b) -0.2 (c) 2 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -43. Let k be s\/35 + (-6)\/15. What is f in 2\/7*f**3 + 2\/7*f**4 - k*f**2 - 2\/7*f + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61618 (base 11) to base 13\nAnswer: -31c11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*u**2 + 2 - 4)*(6*u + 0*u - 4*u)*(4*u - 9*u + u).\nAnswer: -16*u**4 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 604 + -299. Let i = 305 - g. Let n be 11*1\/(-13) - -1. Which is the nearest to i? (a) n (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -21*v**2 - 459*v. Let s(n) = -5*n**2 - 115*n. Let p(o) = -9*s(o) + 2*x(o). Factor p(c).\nAnswer: 3*c*(c + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2.8. Let o = 5\/162 - -917\/1782. What is the nearest to 1\/4 in o, k, -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8 + 167*u**2 - 9 + 103*u - 164*u**2 wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -237 < -156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-959))\/(-2))\/(106\/126 - (-7895)\/(-14211))?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -1\/4*h**4 + 0*h - 3*h**2 - 1\/60*h**5 + 1\/2*h**3 + 0. List the prime factors of m(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3321*t + 1416*t + 1 - 1 - 4*t**3 + 1905*t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 935 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3*a = -28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 193 + -189. Suppose 42*r - 41*r = l. Factor -2\/7*b**5 + 4\/7*b**2 + 0 + 2\/7*b + 0*b**3 - 4\/7*b**r.\nAnswer: -2*b*(b - 1)*(b + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.45 - -2.785. What is i rounded to two decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2902905 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 191672 and 3458?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 31. Suppose -9 = 4*q - 5*v, 5*q - 3*v - b = 1. Let w(d) = -3*d**2 + 2*d**2 + 2*d + d**3 - 1 - 3*d**2. Determine w(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-187)\/34 + 2\/4 - -1. Put -2, -1, 8, k in decreasing order.\nAnswer: 8, -1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 27, 3 in ascending order.\nAnswer: -8, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 251*b + 14929. Determine z(-60).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10025975 divided by -5?\nAnswer: -2005195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 10 + 4 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - 2*x. Let q be u(2). Let o = q + 14. Factor -8*c**2 - c - c**3 + 11*c**2 + 0*c + c**4 - o*c**3.\nAnswer: c*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.0663.\nAnswer: -0.01326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 266 = -3*x - 5*b, -3*x = -5*b + 271. What is the units digit of ((-9)\/(-6))\/((-6)\/x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/7169 and -127\/2680.\nAnswer: 286760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/3 - 236*m**2\/3 - 12932*m\/3 + 119072\/3.\nAnswer: -(m - 8)*(m + 122)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 996*t - 1 - 337*t + 600*t**3 - 8*t**4 - 328*t - 329*t in the form y*t**4 + p*t**2 + q*t + z + r*t**3 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -217880, -435679, -653478, -871277, -1089076?\n\"Answer: -217799*p - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36962168 and 721.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2052 - 1288. Let d = m + -761. Suppose 18 = 3*f - 3*g, 3 = 3*f + g - 7. Solve 0 = -d*z - f - 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63429507331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 5*k - y, -2*k + 1 = -y. Let j = -3 - k. Let b(o) = -o - 3. What is the units digit of b(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46335, -185277, -416847, -741045, -1157871, -1667325, -2269407?\n\"Answer: -46314*h**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*o**5 - 5696*o**2 - 133131*o?\nAnswer: 100*o**3 - 11392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 7*a - 28. Let d(s) = 2*s - 9. Let o = -44 + 51. What is o*d(r) - 2*i(r)?\nAnswer: 2*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(16\/2)*(-188)\/(-94)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1283839.\nAnswer: 1283839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -5, -0.2, -0.9, 4, 1\/22, -1\/42?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, h: 1, n: 3, i: 6}. Give prob of picking 2 k.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.049361 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1943*t = -1928*t + 3937*t + 4488 for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(209)*-1*3)\/((-6*(-1*sqrt(66) - sqrt(66)) - sqrt(66))\/(sqrt(24)\/sqrt(64))))**2.\nAnswer: 1539\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*d**2 - 7*d**2 + 2946 - 2953 + 27*d**2 to the form b + k*d + p*d**2 and give p.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpx when three letters picked without replacement from {p: 5, b: 1, x: 3}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1936935 + -1726\nAnswer: -1726.1936935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -601 + 1144. Suppose -5*g + 517 + j = 0. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, b: 1, z: 2, y: 1}. Give prob of sequence izby.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*j - 33*j + 3 + 1 - 6 + 3*j**2 - 2*j**2 in the form x + r*j**2 + b*j and give b.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -22\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 86*s - 245 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 9. Let k be w(7). Suppose -4*m + 9 + 3 = 0. Let z be m + -1 + (-1 - -2). Which is greater: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.79 - 0.01. Let p = y - 0.2. Let i = 4.078 + -0.078. What is the closest to p in i, -2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -188872049 + 133872049. What is r rounded to the nearest 1000000?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486351 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/274962 and 38.\nAnswer: 274962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-41*o + 62*o - 55*o)*(-3 + 4 + 27).\nAnswer: 1904*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10726543 + 10726410.00106. Let z = h - -133. What is z rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112600500 to the power of 1\/2, to the nearest integer?\nAnswer: 10611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41922?\nAnswer: 2, 3, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 2*o - 644. Suppose -5*u + 2*c = -o, 0*c - c + 136 = 2*u. Suppose -3*f = -3, -3*v - 4*f = -u + 8. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.053*-13\nAnswer: -0.689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from svhvvvvvssvvvsvrv?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2312530 to the nearest 10000.\nAnswer: 2310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n + 14. What is the common denominator of 2\/4*108\/n and 71\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqqyqqvzzzq. What is prob of sequence zzv?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -11*m**3\/6 - 4*m - 42. Let g(f) = 15*f. Give b(g(w)).\nAnswer: -165*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1579.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-3)\/3)*9\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191829*o - 191829*o - 288*o**3.\nAnswer: -288*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6747116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35886, 107823, 179770, 251733, 323718, 395731, 467778?\nAnswer: 539865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11388, -22774, -34160, -45546, -56932?\n\"Answer: -11386*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-9))\/((-1)\/90*536\/134)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 o when three letters picked without replacement from {o: 7, x: 4, t: 4}?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63239 is divided by 249.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -554 and 326732?\nAnswer: -181009528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00177318688 to six decimal places.\nAnswer: -0.001773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 624, 4, -20\/497?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 14*h**2 - 8*h + 21. Is l(-14) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/6)\/(6\/16). Suppose -q*i = i - 5. Suppose 0 = g + 4*g - 25, 0 = 2*o - 4*g + 16. Calculate the least common multiple of i and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 2*r**2 - 19*r - 58. List the prime factors of j(-9).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**3*p*x - 36212*h**3*p - 6*h**3*x + 7*h**3 - 2*h**2*p*x + 21075*h**2*p - 3*h*p*x + h*p - 4*p*x - 4*x wrt h?\nAnswer: 6*p*x - 217272*p - 36*x + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7642 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -19503 divided by -33?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-35)\/56)\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12640d2 (base 14) in base 8?\nAnswer: -41576770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**6\/80 + x**5\/40 + 15*x**4\/8 - 18*x**3 - 2876*x**2. Factor y(u).\nAnswer: -3*(u - 4)*(u - 3)*(u + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4 + 3 = -z, 5*a = -5*z - 10. Is ((-7)\/(28\/(-15956)))\/(1\/a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/12 and 39\/1115540.\nAnswer: 3346620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 12*f - 3. What is the remainder when r(3) is divided by (-9)\/(-8)*(-19 + 27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4075141157 to the power of 1\/2, to the nearest integer?\nAnswer: 63837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2\/6 - 15*u\/2 - 43\/3 = 0?\nAnswer: -43, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 107041239 and 107041238 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 33 = 23. What is the greatest common divisor of k and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -240\/7 - 124\/7*n + 2\/7*n**3 + 118\/7*n**2.\nAnswer: 2*(n - 2)*(n + 1)*(n + 60)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*v**3 + 4 - 1 + 34*v**2 - 1 + 41*v**3 to r*v**2 + h + d*v**3 + l*v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1764135\/89550 + -18 + -2\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x + 120 = 0. Suppose 2*c - x = -3*c - 2*y, -4*y = -20. What is the second biggest value in c, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -1, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 904?\nAnswer: 8136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/1528840 and 91\/61980?\nAnswer: 4586520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + h**2 + 2*h - 2. Suppose -12*s + 154 = -s. Suppose -8*m + s = -m. Suppose -2*b + 9 = -f, m*f + 11 = 5*b - 9. Determine r(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40625\/456 - -1608\/19. Suppose -t + 6 = 2*v, 3 = -2*v + 5. Find the common denominator of 8\/((-392)\/(-44) - t) and x.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/7 and 23\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 17 + 23 - 40 - 2*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4459056 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42629221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 15. Let i be x(13). List the prime factors of (i - -19) + 3 + 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 7*j - 8. Let r be z(6). Let d(s) = 3*s + 4. Let t be d(-9). Let v = r - t. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c + 3*c + 0*c - 2*c**3 + 3*c**3. Let t(x) = 3*x**3 - 5*x**2 + 11*x - 1. Let l(v) = 4*o(v) - t(v). What is l(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*l + 1)*(-9730 + 72711 + 20469 + 48556 - 9610 - 6469).\nAnswer: 231854*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -5, 8, -0.2, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((194\/(-291))\/(4\/(-9)))\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631788\/58843*(-38)\/(-28)?\nAnswer: 102\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 449633 to the power of 1\/2, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -11*l**3 + l**2 + 20*l - 28. What is the tens digit of o(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 270\/((-216)\/12) + 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102*j**3 - 104*j**3 - 428*j**3)*(2*j**2 + j**2 - j**2 + (-4*j - j + 4*j)*(-4*j - 4*j + 6*j) + 5*j**2 - 6*j**2 + 0*j**2).\nAnswer: -1290*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 11) in base 6?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*7\/(-38)*108012\/(-126014).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 93 - 194 + 0*v + 96.\nAnswer: -2*v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 3. Suppose 4*u + 3*x - 10 = 0, 0 = -u + 4*x - t - 6. Suppose 205*d = 202*d. Solve h + d*h = u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598093861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1306 is divided by 217?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 at least -1\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 17 - 0) + 6 + 4 + -14\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149988107.\nAnswer: 3257, 46051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 235\nAnswer: -7.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -b - 1. Let m be (-3)\/b + 304\/40. Suppose 4*u - 173 = m. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -17*i**2 + 534*i + 11836. What is r(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o + 27. What is a(12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 388, 400, 426, 472, 544?\n\"Answer: d**3 + d**2 + 2*d + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**4\/10 + 4*a**3\/15 - a**2\/5 - 2*a. Factor x(n).\nAnswer: -2*(n - 1)*(3*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47.62 - -46.62. What is the third smallest value in 4\/9, -2\/11, u, -1.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohh when three letters picked without replacement from {o: 1, h: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 2*m - 12. Suppose -i = -n, -m*i = -6*i - 5*n - 16. Let v be -1*(i + 2)\/(-2). Solve 4*s = r + 22, -5*s + v*r - 4*r = -17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 - 2 = 3*m. Let j be 22*1*411\/(-2466)*(-6)\/2. What is the greatest common divisor of m and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((2*sqrt(84) - sqrt(84))*5 - sqrt(84))\/((1*sqrt(35))\/sqrt(5)))\/((sqrt(576)*6)\/(sqrt(864)*2)).\nAnswer: -2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**2 - 14*h - 21. Let g(f) = -3*f**2 + 7*f + 9. Let o(t) = 2*c(t) + 5*g(t). Give o(11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*y - 24, -2*y + 4*u + 5 + 13 = 0. Let v be (13 - 12)\/(y\/(-2)). Let i be 584\/16 - 1\/v. Calculate the greatest common divisor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2232432\/126 - (-2)\/7. What are the prime factors of (-4)\/26 - (f\/(-78) - -1)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-30))\/(26\/(-65)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16818*r - 42 + 16818*r - 3*r**4 + 19*r**3 to the form o + i*r + a*r**4 + f*r**2 + b*r**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 160, -11\/8268?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 5*d + 30 = 18*f + 15, -2*d + 6 = -4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1959308.3278214 + -1348973.1278155. Let g = -610335 + p. Let a = g - 0.2. What is a rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*n**2 - 86*n**2 + 5*n**3 - 126*n**2 + 6.\nAnswer: 5*n**3 - 9*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/18)\/(12\/9). Let q = g + 24. Solve 4*f + q = -f - 5*l, 5*l + 16 = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-3)\/((x\/(x*x**(-3)*x))\/x*x\/x**(-1)))**(16\/7) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1077)\/(-21) - 12\/42. Let p be ((-1)\/w)\/((-2)\/24). Is p greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17070076 and 233304?\nAnswer: 102420456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 9 + (-13 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12002111001 (base 3) in base 11?\nAnswer: 69334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1581 - 606. Let k(v) = -50*v + 2828. Let u be k(55). What is the highest common factor of u and m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6cb9 (base 15) in base 3?\nAnswer: 1011201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 4\/(-6 + 2). Let d(k) be the third derivative of 0*k**4 - 3*k**2 + 1\/735*k**7 + 0 + 0*k + 0*k**3 + 0*k**v + 1\/420*k**6. Factor d(l).\nAnswer: 2*l**3*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -13*b**2 - b - 820. Let i(c) = 2*c. Give d(i(u)).\nAnswer: -52*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1623323 is divided by 78.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from ccccccnccncccccccc?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 793 + 262 = 0. Let p = f - -178. Which is smaller: p or 22\/19?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 184, 223, 276, 349, 448?\n\"Answer: r**3 + r**2 + 29*r + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 50*t**2 + 336*t + 7. Let d be n(56). Let i(a) be the second derivative of -3\/40*a**5 + 0*a**3 - 3\/8*a**4 + 3*a**2 + d*a + 0. Factor i(o).\nAnswer: -3*(o - 1)*(o + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.283 - 15.7. Let o = -0.183 + g. Which is the biggest value? (a) o (b) 1\/8 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 0)\/(1\/83) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/5)*x**0)\/(x\/(x**(-2\/7)\/x))**(26\/7))\/(((x\/x**(2\/9))\/x)\/(x\/x**(-2\/21)))**(-38) assuming x is positive.\nAnswer: x**(-130874\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8134, 8104, 8038, 7924, 7750, 7504, 7174, 6748?\nAnswer: 6214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5641, 11165, 16691, 22219?\nAnswer: 27749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 11*i - 6. Let r be 12*((-2)\/3 + 1). Suppose -2*v + 80 = 3*v. What is the least common multiple of v and n(r)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/111952960 and -3\/70?\nAnswer: 111952960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkkc when four letters picked without replacement from rrkccrvrvrkc?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 182 - 265. Let x = t + 87. Solve 0*r = x*r - n + 1, n = 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244599629 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 12. Let p be -1*(z - -3 - 3). Let q be (-4)\/(-2) - (-6)\/(-3). Solve 2*d + p*d = q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) -20\/9 (c) -2 (d) -0.5 (e) 1\/3 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0*i)**(-2\/9)*i**1\/(i**4\/i))**48 assuming i is positive.\nAnswer: i**(-352\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28049, -28051, -28053, -28055?\n\"Answer: -2*w - 28047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4867*t - 37458. Calculate d(-8).\nAnswer: 1478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 + -43.65. Let h = 113 + y. Let r = 68 - h. Put 1, r, 2 in decreasing order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 318 + -7218521.\nAnswer: -7218203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37591 = 17*p - 13698. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - d = 33813. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -218*j**3 - 8*j + 4. Let w(q) = -220*q**3 - 6*q + 3. Give -3*v(z) + 4*w(z).\nAnswer: -226*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10183040 and 15680.\nAnswer: 71281280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 518\/8 - 4 - 1\/(-4). Let c(t) = f*t**2 - 117*t**2 - 6*t**3 - t + 55*t**2. What is c(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 + -97. Let o be (2 + (-36)\/i)\/((-6)\/180). Solve o*z - 9*z = -12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*w - 7 + 145*w + 65*w + 7.\nAnswer: -98*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -5*s**3\/3 + 5*s**2\/2 + 1738. Let y(k) = -2*k - 3. Let n(w) = 3*w + 4. Let q(u) = 3*n(u) + 4*y(u). Calculate l(q(m)).\nAnswer: -5*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2790 is divided by 309.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4 + 21876*k**3 - 6051246*k**2 + 12036856*k - 6007488 = 0.\nAnswer: -11208, 1, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 10 = 2*i, 0*i - 5*i + 2 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5211, 5213, 5213, 5211, 5207, 5201?\n\"Answer: -c**2 + 5*c + 5207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide ((-21)\/14)\/((-3)\/168)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15932892 and 4458?\nAnswer: 15932892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 2*l**2 - l - 3. Let o(s) = -678*s**3 - 11*s**2 - 6*s - 264. Let r(x) = 6*b(x) - o(x). Find the third derivative of r(m) wrt m.\nAnswer: 4140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.3, -1.368, 1\/63, 10, 4, -2\/7?\nAnswer: -1.368","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8562, 17096, 25632, 34170, 42710, 51252?\n\"Answer: k**2 + 8531*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*-1*sqrt(52)\/(sqrt(4)*-1 - sqrt(4)) + (sqrt(1872)*2 + (sqrt(13) + sqrt(117) + 2 - sqrt(13)))**2 + sqrt(143)\/(-2*sqrt(1100)).\nAnswer: 2189*sqrt(13)\/20 + 9481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 4*d. Let x(r) = -r**2 - 6*r + 10. Let u be x(-7). Let h be j(u). Let b be (300\/h)\/((-2)\/2020). Round b to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -192.2 - -192.19818. Round n to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (88\/(-22) + 3*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868792221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 7:42 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*u = 73*u - 5*c - 39, -6*u = -3*u - c - 149 + 128 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (152\/(-20))\/((-2)\/5). Suppose -4*w + p - 3 = 0. Let v = 10 + -6. Solve 0 = v*j + 16 - w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31254583 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/33)\/j*((j*j**(-2\/71))\/j*j)\/j*j*j*j*j**23*j\/(j\/(j*j*j\/(j*j\/(j**(-16)*j)))))**(-4\/5) assuming j is positive.\nAnswer: j**(-103396\/11715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 3*l - c - 3*c, -4*c = 2*l - 14. Let p = l - 11. Suppose 3*a + p = 3, -2*a = -5*u + 193. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.4, 10, -0.87, 76.\nAnswer: -0.87, -0.4, -1\/4, 10, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -213411 + 4?\nAnswer: -213403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 7*y - 10. Give t(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 16. Let v be p(-14). Let o be 1 + (-3)\/(6\/(-10)). Let z = v + o. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Let i = -16\/247 - -2749\/494. Which is the third biggest value? (a) 3 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2 = 2*i, -5*i = -i - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2093806?\nAnswer: 2, 11, 13, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.2 (c) -2\/7 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + 2*v + v**2 + (1 + 3*v - 1)*(-2 + 0 + 1)*(6 - 6 - 5*v) to a*v**2 + l + m*v and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3548 or 49663\/14?\nAnswer: 3548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984847459 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3428562 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 71\/5 + 10\/20*-18.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 1, o: 3}. What is prob of picking 1 q and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.6. Suppose -v + 3 = -0*v. Suppose -5*g = 17 + v. Sort 2\/5, g, t in decreasing order.\nAnswer: 2\/5, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 33 - 15 = 0. Suppose t = 5*x + 2*v, v = -2*x - v + 10. Does 13 divide (x + 0)*(-203)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93443*y - 8 - 93365*y - 120.\nAnswer: 78*y - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000049497 to 7 dps.\nAnswer: 0.0000495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*a - 85*a - 46 = 3*g, -6*a + 70 = -4*g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-3 + 4) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14.9, -0.3, -1\/3, -2\/11, 2\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -210*a**2 - 18691*a - 91. What is y(-89)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*q + 136 = -5*c, 2*q + c - 261 = 0. Let l = q - 55. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*f + 78332 - 86270 = 0 for f.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3418 is divided by 149.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 22541240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 4. Let r be (-5)\/1*g\/10. Let i be (-11)\/(-4) + r\/8. Solve -i*z + 6 = 0, -3*z - 2*z - 5 = 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - s - 1. Let x be o(4). Suppose -2*k = 5*m + 50, -2*m - x = 5*k + 9. Let f = m + 17. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n. Let a(d) = 3*d + 1. Let c(p) = -2*a(p) - 7*v(p). Let o be c(3). Is o\/(-5) - (-156)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1544 - -1547. Solve 8*h - 27 = 3*h + w*u, 0 = -h - u - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -1\/3*i**3 + 0*i + 2 + 0*i**2. Let c(j) = -j**2. What is v(c(b))?\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*l + 10 = -3*x, -3*l = -15. Let r(p) = p**2 + 3*p - 5. Let i be r(x). Calculate the greatest common factor of i and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1560, -3347, -5596, -8535, -12392?\nAnswer: -17395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + -24 + 27 + 17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 92592 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvemmimoomemvim. What is prob of sequence ioo?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14\/13 (b) -4 (c) 1\/5 (d) 0.5 (e) 53\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*s - 3 = -s, 4*s = -4*m. Is ((-3)\/(-4))\/(m\/4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y - 1. Let t = -54 - -55. Let d be w(t). Let q be (-3*2)\/(12\/d). Let z(x) = -2*x - 2. What is z(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 15. Suppose -18*q + 63 = -9*q. Let d be m(q). Suppose 3*g + 16 = 4*g - 5*r, -g + r + d = 0. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 402\/5*((-8)\/(-6) + 2). Suppose 4*l - 4*y = 7*l - 156, 0 = -5*l - 4*y + s. Suppose -51*q - 20 = -l*q. Solve 4*u - w + 6*w + 3 = 0, q*w - 2 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 70 = -4*d, 2*d + 14 = t - 0*t. Suppose -i = -m + 3*i + 6, t = -3*m - 4*i. Let f(c) = 2*c**3 + 2*c**2 + c - 2. Determine f(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/36*(364\/(-14))\/(-13)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.143nm in centimeters?\nAnswer: 0.0000196143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7d + -6?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16416, 32854, 49292, 65730, 82168?\n\"Answer: 16438*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/3, -6177728 in decreasing order.\nAnswer: -2\/3, -4, -6177728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - (sqrt(320) - (2*sqrt(320) + sqrt(320))))\/sqrt(10).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1015786 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 47. Sort 0.4, z, -27.\nAnswer: -27, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1395 - 13*s**2 + s**3 - 1395 + 2*s**3 + 13*s**2.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6210 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881004 a multiple of 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 4:30 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 9461162*c**2 + 4730582*c.\nAnswer: -2*c*(c - 2365291)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/8*24\/2. Suppose -70 = -l*v + v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372509431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 1030*l**4 - 5156*l**3 - 8210*l**2 + 12408*l - 72 = 0. Calculate l.\nAnswer: -2, 3\/515, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - w - 49, 4*d - 20 = -3*w + 9. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7387421.\nAnswer: 41, 180181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(119) - (sqrt(119) - 3*sqrt(119))*5 - (sqrt(119) - 1*sqrt(119)*-3))\/(((sqrt(21) + sqrt(63)\/sqrt(3))*1)\/(sqrt(9)\/(sqrt(12)\/sqrt(4)))))**2.\nAnswer: -833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - 5*s + 11*s to g*s + t and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27\/4 + 7. Let l = 36.712 + 0.288. Let w = -32 + l. Which is the biggest value? (a) -0.4 (b) w (c) v (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/49 and 15\/14?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**3 - 2*b**3 - 6*b**3)*(1 + 6*b**2 - 1) - b**5 + 2*b**5 + 0*b**5.\nAnswer: -23*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0 (b) -0.5 (c) 3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007964 rounded to 6 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 18*u + 35. Calculate d(12).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 307820337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-17 + (10 - (2 - 4))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2799 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 + 18*m. Let p be y(-12). Suppose 9*g - p = 7*g. Calculate the greatest common divisor of 144 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 820659 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23785197 divided by -3?\nAnswer: 7928399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((37894\/(-6))\/((-146)\/(-438)))\/(0 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(((q**0*q)\/q)\/q))**31)**(-3\/5))**(5\/2))**(-18\/13) assuming q is positive.\nAnswer: q**(1674\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z*z**1)**(-39)*z**(-2\/15)\/z**(-4\/9))\/(z**7*(z*z**(-2\/3))\/z*z)**(1\/60) assuming z is positive.\nAnswer: z**(-17533\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-30) - 352\/10. Let d be (p\/15 - -1)*3\/(-2). What is the greatest common divisor of d and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, w: 6}. Give prob of picking 4 j.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042522 (base 6) in base 13?\nAnswer: -1ab5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286660?\nAnswer: 2, 5, 11, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/5 + 124466*o**2 + 1244666*o\/5 + 622334\/5 = 0. Calculate o.\nAnswer: -1, 311167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 161*c**2 - 3*c - 19. Let n(y) = 321*y**2 - 5*y - 36. Let s(k) = -11*f(k) + 6*n(k). Is s(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 5*y + 5. Let f be c(-5). Suppose k - f = -1. Suppose v - 4*o - 8 = 0, 4*v + 0*v - 2*o - k = 0. Which is smaller: -1\/4 or v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 669.4236 days to hours.\nAnswer: 16066.1664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 5*r + 192, 3*o - 5*o + 103 = -5*r. Calculate the remainder when o is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*n**3*s**2 - 2*n**3*s - 3*n**2 - 3*n*s + 32*s**2 wrt n?\nAnswer: -192*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8*j - 6. Determine x(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 30398171.96 + 45.9\nAnswer: 30398217.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2970468049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((0 + -6*(2*sqrt(7) + -2))*-3 + 0))**2.\nAnswer: -2592*sqrt(7) + 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 45*v**5 - 35781*v**4 - 66960*v**3 + 9564*v**2 = 0.\nAnswer: -2, 0, 2\/15, 797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihsoxsa. Give prob of sequence sx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121 - -229. Let o = i + -3. Calculate the greatest common divisor of o and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/3 + 7*h**3 + 68*h**2\/3.\nAnswer: h**2*(h + 4)*(h + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/5 + 532*o**2 + 21426*o\/5 - 24084\/5 = 0. What is o?\nAnswer: -9, 1, 1338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/10 and -43\/329320360.\nAnswer: 329320360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5913976, -5913977, -5913978, -5913979, -5913980, -5913981?\nAnswer: -5913982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h. Let n be f(-1). Let z be (-234)\/(-14) - n\/14. Let m = z - 8. Calculate the remainder when 16 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5253 by -75703.\nAnswer: 5253\/75703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 2*f - 96. Let u be x(13). Put 4, u, 7, 5 in ascending order.\nAnswer: 4, 5, 7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) -4\/7 (c) -51217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 57*b + 3. Let u be 24\/16*(-4)\/(-3). What is the hundreds digit of p(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < 19684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3242540 and 8660?\nAnswer: 1404019820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -5)\/(2\/(-52)). Let p = d + -30. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2083803 is divided by 117?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**5\/25 - 4*t**4\/15 - 2*t**3\/3 - 4*t**2\/5 + 4*t. Factor o(r).\nAnswer: -4*(r + 1)**2*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -63*b + 6. What is w(1)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 102 (b) -7\/3 (c) -0.7 (d) -4\/9 (e) 43 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 15*l**2\/2 - 44*l - 15. Is 14 a factor of m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1139659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91961 - -130980. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xafmfxyfffmxkfy. What is prob of picking 1 x and 1 f?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**4\/24 + l**3\/6 - 9*l**2. Let j be z(1). Is (3 + -142)*(-3 + j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(133)*2 + sqrt(133) - (sqrt(133) + (sqrt(133) - (sqrt(133) + sqrt(133)*2))*-3))*4)\/((sqrt(175) + -5*(sqrt(175) - sqrt(175)*1) + sqrt(175))*2).\nAnswer: -8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245a65 (base 11) to base 16.\nAnswer: 5edfa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3402 divided by -63?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -222 - 76.39863\nAnswer: -298.39863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 15.6. Which is the closest to 0? (a) h (b) -5\/7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -8a?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**4 + 6*p**4 + 2*p**4)*(-2 + 0 + 0)*(0*p + 3*p - 2*p).\nAnswer: -22*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -4*x + 3. Let z = x - -36. Calculate the remainder when z is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5686626.\nAnswer: 2, 3, 11, 86161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 10*k**2 + 26*k - 31. Calculate m(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173894.\nAnswer: 2, 7, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 18*l - 7. Let r be b(9). Suppose -7*k + 2*k = -5*w - 605, -3*k + w + 361 = 0. Let s = k + r. Does 31 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1138\/21*g + 2\/21*g**2 + 1136\/21.\nAnswer: 2*(g + 1)*(g + 568)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 21. Let d = -9.99999989 + w. What is d rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 2\/(8\/4). Let r = 6 + -4. Suppose -7*y + j = -2*y + 3, 5*y = r*j - 6. Solve 4*p - 1 = -x*o - 2, 4*o + 5*p + 1 = y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-342)\/12 + (-6)\/4. Let j = u + 43. Suppose 0 = -j*w + 8*w + 345. What is the greatest common factor of 46 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 10*r - 14*r + 42, 4*r - 30 = 3*f. Solve 5 = -5*a, 15 = f*z + z - 3*a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.7231 - 0.2769. What is the nearest to -0.1 in 69, -0.5, u, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (-2 + (-1)\/1). Let o be 128*(w + (-18748 - 1)). What is o rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 36 - 467*x**2 - 110 + 34 + 38.\nAnswer: -467*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4227, 16992, 38285, 68112, 106479, 153392, 208857?\n\"Answer: q**3 + 4258*q**2 - 16*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + v + 10. Let y be w(2). Solve 4*g = y*g + 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8326635 and 3.\nAnswer: 8326635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-1)*(-7)\/14 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 214*z - 10980. Calculate n(87).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4 + -4 + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 43020948 to the power of 1\/2, to the nearest integer?\nAnswer: 6559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077911 take away 5.19288?\nAnswer: 2077905.80712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5c (base 16) to base 8\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.054164226 to 5 decimal places.\nAnswer: 0.05416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58330?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 13*h - 41. What is the tens digit of z(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(76) + 1))**2 + -4*(-4 + sqrt(19)) - (1*-1*sqrt(19)*4*-4)**2.\nAnswer: -4828 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7809353 is divided by 1123.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1359021, -2718145, -4077269, -5436393, -6795517, -8154641?\nAnswer: -9513765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {e: 1, n: 3, g: 1, c: 4, j: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - -3)*(60\/8 - 6). Let g = 2.22 - -2.78. What is the nearest to 0.06 in m, 0.1, 3, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 - 16*15\/(-10) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -986*f**2 - 3381 + 497*f**2 + 490*f**2 in the form v*f**2 + p + j*f and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 5*j**7\/168 + j**4\/6 + j**3\/3 + 20. Let p(b) be the third derivative of z(b). What is the derivative of p(a) wrt a?\nAnswer: 75*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2. Suppose 3*u = -2*k - 2*u + 25, k + 15 = 3*u. Let b(o) be the second derivative of k*o**3 + 0 - 4*o - 1\/3*o**4 + 0*o**2. Determine b(q(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**5\/60 + h**4\/8 + h**3\/3 - 5*h**2 - 1. Let w(z) be the second derivative of f(z). Factor w(k).\nAnswer: (k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440\/(-1100)*(-3)\/((-27)\/2340).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 100*j + 13. What is the remainder when q(1) is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1295 + -6478\/5. Let b = 0.18 + -0.08. What is the closest to c in 0.4, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/32329416 and -67\/3552?\nAnswer: 129317664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 f when four letters picked without replacement from {n: 2, o: 2, f: 11}.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1957 and 679269.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v - 1 + 1)*(3 - 3 + 2) + (0*v - 3*v + v)*(250 + 443 - 175) as w + l*v and give l.\nAnswer: -1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 857 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - 0.2. Let w = j + 7.4. Let q = w + -6.999895. Round q to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 16 = 16. Let v(h) = h + 5. Let u be v(i). What is the tens digit of (-28)\/u*(-36)\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in 1.02, 3, -1.9?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 4) + (4 - 2 - -4) - -24?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, y: 3}. Give prob of sequence yymm.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 l, and 1 v when three letters picked without replacement from vwlsk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m - 8. Let h(o) be the third derivative of o**4\/8 - 3*o**3\/2 - 3*o**2. Let b(t) = -5*h(t) + 4*z(t). What is the units digit of b(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-1 + -14)*(-4)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + (-1 - -10) + (-29 - -2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-98)\/(-252))\/(3\/(-15)) and 93\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 1, j: 1, b: 5, f: 3}. Give prob of sequence jb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(12)\/sqrt(3)*4))**2 + 2.\nAnswer: 39\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = -5*y + i, 18*i = -4*y + 19*i - 166. Sort 5, -3, y, 6.\nAnswer: y, -3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -59, -1\/4, -1, -17 in ascending order.\nAnswer: -59, -17, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -127976473+0.2\nAnswer: -127976472.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.21?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (32 - (-2 - 0)) + 2 + -67 + -40 + 99\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/5)\/(j**(-10\/9)*j)*j**(-9)\/(j**(2\/17)*j*j) assuming j is positive.\nAnswer: j**(-8114\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*g - 80*g = 65*g - 203 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -587 + 2933\/5. What is the closest to w in 3.3, -1.5, 4\/3?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2948823 to the nearest integer?\nAnswer: 1717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28562 - 28558. Let n(i) = -i**3 + 12*i**2 - 5. Let t be n(11). Calculate the greatest common divisor of p and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 bigger than 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145673.\nAnswer: 11, 17, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 48 - 12 = 0. Let v = 13 + -11. Let l = n + v. What is the greatest common divisor of l and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.328833 millennia?\nAnswer: 9328.833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3718073 + -3.\nAnswer: -3718076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -4, 14 in increasing order.\nAnswer: -4, 14, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a - 4*a + a - 5. Let c be q(8). Suppose 4*y - 13 = c. Solve i + 0 + y = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 5 + 4)*(0*q - 2*q + 6*q + (-2 + 2 - 2)*(-2*q - q + q))*(2*q**2 + 2*q**2 - 2*q**2) to the form b*q + w*q**3 + o + t*q**2 and give w.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101142 + -10230?\nAnswer: 40412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 631098867 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.19 + 1.81. Let q = 5.05 - 0.05. What is the nearest to x in -4\/7, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3968449?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 181, 197, 213?\n\"Answer: 16*g + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13345 - 13862 = 21*k - 26535 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -351, -276, -201?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23416160*u - 1 + 1 - 7*u**3 - 23416160*u.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -805, -6608, -22367, -53062, -103673, -179180?\nAnswer: -284563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -513, -1142, -2013, -3120?\nAnswer: -4457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 18338 and 18363 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y + 10 = -s - 31*y, 2*y = s + 4 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z + 6 = 5*y, 3*z + 3*y - 54 = 0. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -285 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2\/3, 0.2618, -0.2 in ascending order.\nAnswer: -0.2, 0.2618, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**8)\/(p*p**(-4\/5))*((p\/((p*p**(2\/43))\/p))\/p)**(9\/2) assuming p is positive.\nAnswer: p**(1847\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189324 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -17*m**3 + m. Let p be h(-1). Let v(x) = -x**3 + x**2 + 10. Let f be v(0). Let k be (-5 + 0)*(-16)\/f. What is the highest common factor of p and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**5 - 9*d**4 + 12*d**3 - 6*d**2 - 3*d. Let w(z) = -11*z**5 + 18*z**4 - 23*z**3 + 11*z**2 + 5*z. Let l(r) = 5*c(r) + 3*w(r). Factor l(s).\nAnswer: -3*s**2*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 25843965.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < 809876?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1512826 and 1077.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z = 2*u - 13, -5*u = z - 13. Suppose i = -9*a + z*a + 949, -i + 3*a = -944. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142 - 227. Let v = f + 84.986. What is v rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/5 + 3768*t**3 + 29691624*t**2\/5 + 70853472*t + 1060771248\/5.\nAnswer: 3*(t + 6)**2*(t + 3134)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**5\/20 + 5*i**4\/12 + 5*i**3\/6 - 18*i. Let t be u(-3). Let w be -1*t*2\/24 + 0. Sort -3, -1\/2, -0.2, w in decreasing order.\nAnswer: -0.2, w, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 59?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 19.999842. What is k rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 182 = 142 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 7*g = -2*p + 73, -4*g + 104 = 4*p. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -495239 + 495303.9937. Let t = 65 - v. What is t rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1667 + -1026. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1092282838.\nAnswer: 2, 546141419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234855.\nAnswer: 3, 5, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26 + 5 + 3 + 5. Solve -5*c - 24 = -a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168567984 by -2.\nAnswer: 84283992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 4 - ((11 - 13) + -2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/291 + (-24486)\/2037?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 30 = -5*v, -4*p - 3*v + 11 = -6*v. Suppose -2*n + 9 = -l, 0*n = -n + p*l - 9. Suppose -20 = y - n*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225399 is divided by 56342.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**5 + g**4 + 1. Let n(m) = 3*m**5 + 5*m**4 + 2*m**2 + 5. Let y(c) = 20*l(c) - 4*n(c). What is the third derivative of y(v) wrt v?\nAnswer: 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 e when four letters picked without replacement from {z: 3, j: 4, e: 2, x: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + 0.419. Let h = -0.41 + 0.391. Let u = x + h. Put u, -6, 2\/5 in descending order.\nAnswer: u, 2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 1:22 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23923*x - 23890*x - 99 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 plus 27.4187031?\nAnswer: 66.4187031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1391\/36 + 155\/4. Let k = -0.31 - 0.19. Sort k, f, 3.\nAnswer: k, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11728434 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -121611 greater than -121613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/878 + -16266\/57509. What is the common denominator of 123\/10 and j?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5266)\/(-6) + (-8)\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-29)*p*p**(-4))\/(p\/(((p**1\/p)\/p)\/p*p)*p**25) assuming p is positive.\nAnswer: p**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 70*b - 869. What is the remainder when 954 is divided by d(53)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -87321, -87129, -86951, -86793, -86661, -86561, -86499?\n\"Answer: -s**3 - s**2 + 202*s - 87521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*j = 263*j - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-96*j**2 + 594*j**2 + 88*j**2)*(-13*j + 2*j - 2*j + (-2 + 3 + 1)*(0*j - 3*j + j)) to the form u*j**2 + c + p*j**3 + v*j and give p.\nAnswer: -9962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 + f**2 - f**2)*(f + 4*f - 3*f) + (6*f - 4*f - 3*f)*(39*f**2 - 3*f + 3*f) to n + g*f + h*f**3 + q*f**2 and give h.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/36 in 1\/4, -2\/9, -3, -4.02, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*y - 40 = 0, 0 = -f - f + 2*y + 34. Let x = 285 - 264. Suppose -x*b = -b - 240. What is the lowest common multiple of f and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*v**2 + 120*v**2 + 119*v**2 - 48*v**2 - 283*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, w: 2, g: 2, s: 4, j: 1, m: 6}. What is prob of sequence jg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.2, 1\/20, 16, -2.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Let x = 8 + -12. Let d be z(x). Let u = 15 + -9. Solve 0 = -4*q + 4*s + 12, u = 5*q - d*s + 2*s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.262 - 2?\nAnswer: -3.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 + 7241444*l**3 - 43448616*l**2 + 86897200*l - 57931456.\nAnswer: -2*(l - 3620716)*(l - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 49*v - 2. Let g(y) = -49*y + 2. Calculate 5*c(q) + 6*g(q).\nAnswer: -49*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1685)\/(-200) - (-2)\/10 and 97\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 31, -1, -3\/5, 2\/11, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.97 - 0.03. Which is the smallest value? (a) 0.5 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 - 84*m**2 - 2*m - 63. Calculate the remainder when 4238 is divided by c(-42).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 1. Let f(q) = 10*q - 14. Calculate f(w) - 8*l(w).\nAnswer: 2*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/8 or -2094171?\nAnswer: -2094171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -7 + (0 - -8)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 50*z**2 - 138*z - 1. What is t(3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123181 + 373218. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/19, -7747\/3, 51, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 46\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/2537 - 5056\/22833. Is j at most as big as -257\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m - 1. Let r(g) = -7*g - 3. Let b(o) = -3*c(o) + r(o). Let w(i) = -71*i**2. Give w(b(v)).\nAnswer: -71*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l - 2. Let t be q(1). Solve 3*o + 5*m + 24 = t, -4*o + 4 = -4*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 604 divide 950311252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-9298573\nAnswer: -9298573.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 2974\/7787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4c774c (base 13) to base 11\nAnswer: 104a906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v + 43. Suppose 0 = -2*a - 137 + 109. Let c be t(a). Let i(j) = -2*j - 7. Let k be i(-6). What is the second smallest value in k, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 353552, 353559, 353574, 353603, 353652?\nAnswer: 353727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 46*g**3 - g**2 - g + 2. What is the units digit of w(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(-3)\/(-3 + -3). Suppose -10 - 3*t**2 + 7 - 3*t + 6 + 3*t**h = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9107\/3839 + -3\/349. Find the common denominator of (-2)\/3*38\/(-8) and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - n + 383265 - n**3 - 383290.\nAnswer: -n**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076049 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 8*w - 5*w. Suppose 3*j + 5*y = w*j + 22, y = 5*j - 6. Factor -6*a**j - a**3 - 3*a**3 + 2*a - 6*a - a**4 + 0 - 1.\nAnswer: -(a + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 177. Let b(o) = -6*o**2 + 4*o - 8. Let c(g) = 7*g**2 - 5*g + 10. Let f(l) = -5*b(l) - 4*c(l). What is q(f(m))?\nAnswer: 8*m**4 + 177","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 186 - 74. Let n = d + -113.9. Which is smaller: -0.4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12131 at most as big as 12134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 8*r**2 - 10*r + 3. Let s(q) = q**2 - 8*q - 109. Let j be s(21). Let w = j - 155. Calculate p(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - (1 + 11)) + 3. Let t be (5*4\/(-100))\/(1\/y). What is the second biggest value in 3, -5, t, -39?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123\/18 + (-7 - 129\/(-18)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202558332 - 202558332 + 4*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 864*h**2 - 59*h + 88. What is the units digit of v(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 197 and 5.\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30225 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 109907a?\nAnswer: 1099078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -38. Let p(k) = -6*k. What is the least common multiple of p(-1) and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871383 is divided by 217844.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*c + 15, 2*l = c + 12 + 13. Let y(g) = 2*g - 1. Let u = -6 + 8. Let q be y(u). Solve -3*f = -2*p + 11, q*f - 3*p = -l + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/3 + (-2942)\/(-2942).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t = 25*t - 5, -t + 5 = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g*i*k**2 + 355439*g*i - 3*g*k**2 + 1544*g*k - 6*i*k**2 - 1021*k wrt i.\nAnswer: -g*k**2 + 355439*g - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2141 is divided by 1503?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by -5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -149 (base 12) to base 4\nAnswer: -3021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b*b**(-1\/2)\/b*b)\/b)\/b)**(2\/105)*b**(-4)*b\/(b*b\/((b*b*b**(-5))\/b)) assuming b is positive.\nAnswer: b**(-944\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-8)*((-2)\/10)\/1.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, u: 1, x: 1, w: 2, z: 1, j: 2}. Give prob of picking 1 w, 1 j, 1 g, and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 4:10 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i + 3. What is the tens digit of j(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3 + 13*h**2 + 1718*h + 1.\nAnswer: -12*h + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-20)\/((-1180)\/(-3481)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-170)\/204)\/(525\/28).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*y = 2*q - 3, 7 = -3*q - 4*y. Let x = 20 + -41\/2. Which is the third smallest value? (a) x (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from dduqdqdqudqduu?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**4 - 25*c**3 + 10*c**2 + 120*c = 0. What is c?\nAnswer: -4, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4299 - 12588 = -1955*a - 1247 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -90119.419 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(22)\/sqrt(2)) + sqrt(5))*3.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 4451 and 251037579.\nAnswer: 251042030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 180341944?\nAnswer: 180341944.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3226309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -42*r - 23. Let b be s(-3). Does 9 divide b\/3 - 6\/(-36)*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/45 - (-2 + (-140)\/(-63)). Suppose -3 = -3*a + 3*r - r, 9 = -2*a + 5*r. Let o be ((-3 - 0) + a)\/2. Is m < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15791385 divided by -3158277.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23 (b) 118901 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 16*f - 25. Let k be z(14). Suppose 1563 = 3*j - 3*p, -k*j - 4*p + 0*p + 1591 = 0. What is the greatest common divisor of 35 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 2*b**2 + b + 16. Let a = -3 + 12. Calculate the remainder when p(0) is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/20 + 4\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.3 + 12. Let g be (4 - 2)*1*2. Suppose 4*b - n = g, 4*b - 3*n - 16 = n. What is the third smallest value in b, -0.2, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1767780 and 11102?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 436610221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-33 + 22 - -44) + -11 + 0 + -14.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6036 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-4)*k)*k)\/k*k\/(k*(k\/((k\/(k*k\/k**(-1)*k*k))\/k)*k)\/k)*k)**(1\/21) assuming k is positive.\nAnswer: k**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-68)\/(-102)*471\/2.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3084954391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 5*f - 4. Let l be i(-4). Suppose l = 2*t - 5 - 9. What is the highest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1 + sqrt(76) + sqrt(76))*-3)**2 + -5.\nAnswer: 72*sqrt(19) + 2735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 8 - -12 - -35) + 112 + -114.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d - -8af2a?\nAnswer: 8af47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 279841458 rounded to the nearest ten thousand?\nAnswer: 279840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64971554, 64971548, 64971540, 64971530, 64971518?\nAnswer: 64971504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.492 + -29.\nAnswer: -43.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948626 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: Let m = 5767 + 7267. Suppose 4*n - 2*s - 13032 = 0, -6*n + m = -2*n - s. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.32 + 5.41. Let r = k + -0.09. Which is the third smallest value? (a) 3 (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 12. Let u be l(12). Suppose 4*k - 4 = 0, g + u*g + 2*k - 14 = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.1, 6\/5, -3\/5, -0.3, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 14, 1.3, 0.5, 5\/3, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -41, -75, -143, -257?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:42 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -412, 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35190162\/37 or -951086?\nAnswer: -951086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 12:45 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(2*p + 0 + 0 + 0*p - p - 2*p + (-2 + 3 + 0)*(-p + p - 2*p)) - 4*p + p + 2*p + (5 - 3 + 0)*(-2 + 2 + p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3\/7 + 5422*r**2\/7 - 5424*r\/7 = 0.\nAnswer: -2712, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*(-7)\/(308\/33)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*n**3 - 64 + 27 - 7 - 54 + 4*n.\nAnswer: 47*n**3 + 4*n - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*j**2 + 2 + 8\/5*j = 0 for j.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zaptzopr. Give prob of sequence rot.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1206? (a) -0.3 (b) -2 (c) -0.1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1465?\nAnswer: 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -213 + 212. Suppose 103 = -18*l + 49. Let g(p) = -1. Let v(s) = -s - 3. Give l*g(m) + n*v(m).\nAnswer: m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/11)\/g)\/g*g\/g**5*(g\/((g*g*(g\/g**(1\/3))\/g)\/g))\/g**(1\/5) assuming g is positive.\nAnswer: g**(-938\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 40151.\nAnswer: -2\/40151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80931 or -80932?\nAnswer: -80932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246416283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*2*sqrt(156) + sqrt(156))\/sqrt(12).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1, -2\/5, 4.3.\nAnswer: -1, -2\/5, -1\/4, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208686 is divided by 208573?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*i - 577 = 29*i - 1823 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-40 - (34 + -54)) + 11 + -2 + -9\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1731076.454 rounded to the nearest ten thousand?\nAnswer: -1730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 100000011101 (base 2) to base 13\nAnswer: c3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 533 divide 358926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 12 + 1 + 5 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.348 - -0.348. What is the second smallest value in y, -1\/5, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*f - 11 = 0, -12 = 42*f - 39*f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 7. Let c be r\/(-7) + 0 + 0. Sort c, 1\/4, 1\/5 in descending order.\nAnswer: 1\/4, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-5)\/2 - (-54)\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255, -839, -1721, -2901, -4379, -6155?\nAnswer: -8229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2564148487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*a**2 + 44*a**2 + 40*a**2 - 55 as r + w*a**2 + h*a and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -692*t = -672*t - 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -499 + 1042. Let r = d - 545.79. Let k = 0.21 - r. Which is the second biggest value? (a) k (b) -6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 513\/(-228) - 3\/4. Let a(p) = 5*p**3 - 10*p**2 + 3. Let c(n) = 14*n**3 - 31*n**2 + 8. What is f*c(k) + 8*a(k)?\nAnswer: -2*k**3 + 13*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 32*k**2 - 10*k + 13*k)*(3 - 1 - 1)*(0 - 6 + 1) + 0*k**2 - 2*k**2 + 0*k + k + k**2 + 0*k**2 - 3*k**2.\nAnswer: -164*k**2 + 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 771075 (base 8) to base 2\nAnswer: 111111001000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, i: 4, f: 2}. What is prob of picking 1 f and 1 u?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 914094111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12739.\nAnswer: 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-15)\/18 - (0 + 1)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -829.3 * -1.41\nAnswer: 1169.313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 78368.94 millilitres?\nAnswer: 78.36894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -18*m**3 + 59*m**2 + 27*m - 38. Give d(4).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 90*m + 1970. What is i(-38)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -404 (base 6) to base 12\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 67. Let j = -25.02 + q. Which is the second biggest value? (a) -3 (b) 0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37401, -37400, -37399, -37398?\nAnswer: -37397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 bigger than -76516013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 287 - 272. What is the greatest common factor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 853273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75295\/7044 or 12?\nAnswer: 75295\/7044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 41354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 2 - 2 + (-5 + 5 - v)*(-4 + 2 + 0) + (-1 + 1 + v)*(-9978 + 2981 - 2702 - 11008 - 1757).\nAnswer: -22461*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 20 = -3*n. Let o = n - 7. Is 2\/o + 25200\/55 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 11*z = -7*z + 14, 5*l = -z + 13. Put 8, l, -60, 0 in decreasing order.\nAnswer: 8, l, 0, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((0 + sqrt(2057) - sqrt(2057)) + sqrt(2057) + 4 + 4 + -5)**2.\nAnswer: 66*sqrt(17) + 2062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2675903 is divided by 891963.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -17. Suppose 3*x = 3, 0 = s*d - 0*x + x - 279. Let v = d - 58. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*c - 312 - 956 = 1292 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**6\/120 + r**5\/30 - r**4\/24 - r**2. Let k be n(1). Differentiate 0*p**4 + k - p**4 + 2*p**4 with respect to p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -85 + 12481?\nAnswer: 12396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w + 35 = 4*a, 2*w - 3*a = -9. Suppose 3 = 3*s - w. Find the second derivative of -5*l + 3*l**2 - l**2 + s*l**2 wrt l.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 105?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 270325990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2 + 1 + q + 1. Let r(j) = 1. Determine -d(c) - 2*r(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 454222 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times 658128?\nAnswer: -59231.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 40680*i**2 - 122135*i - 406950.\nAnswer: 5*(i - 5)*(i + 2)*(i + 8139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2214311333 (base 5) to base 12.\nAnswer: -1753b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 8:00 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8891550.\nAnswer: 2, 3, 5, 19759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3*h**3 - 62*g**3*h**2 + 26*g**3 - 2*g**2*h**2 - 52*g - 6*h**3 wrt g?\nAnswer: 6*h**3 - 372*h**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -10*b**3\/3 - b**2 - 3*b - 642. Let g(x) = 9*x**2 + 2*x + 4. Calculate 3*g(m) + 4*r(m).\nAnswer: -13*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342631?\nAnswer: 163, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 120?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1851\/4 - -463. Solve -h*g**3 - 1\/4*g**2 + 1\/4*g + 1\/4 = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-24)*-26 - 15\/(-20). What is the third derivative of 19*a**5 + 42*a**2 - 2*a**y - 8*a**2 + 5*a**4 + 42*a**2 wrt a?\nAnswer: 1140*a**2 + 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1767, 2555, 3341, 4125, 4907?\nAnswer: 5687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -0.7. Let z = 49 + -50. What is the nearest to z in 2, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4 + 2 = 0. Let p be (-56)\/(-12) - (-1)\/3. Solve n + p*l + 20 = 6*n, 4 = -z*l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52\/6 - 3\/(-9). Let p be r\/(-3) + -2 + -2. Is (19 + -2)*(0 - p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*t**2 + 51*t**2 - 158*t**2.\nAnswer: -33*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j + 4 = 0. Suppose 4*y = -4*z + 2 + j, -3*y + z = -15. Suppose 153 = y*i - i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-14)*63\/18. Let p(h) = -9*h**2 + 3*h + 0 - h**3 + 17*h**x - 8. What is the least common multiple of 20 and p(8)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1571825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.88 - 1.79. Let w = 1.068 + c. Let b = w + -0.15335. What is b rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2623.\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/12 + -3 + 3. Let s(n) be the second derivative of 0*n**5 + 0*n**4 + n + 0 - d*n**3 + 1\/30*n**6 + 0*n**2. What is the second derivative of s(l) wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u**4 - 8*u**3 - 10*u**2 + 8*u. Let n(t) = -t**3 + 724 - 724 + t**4 - t**2 + t. Let q(m) = -44*n(m) + 4*o(m). Factor q(d).\nAnswer: -4*d*(d - 3)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*z**3 - 260*z**3 - 263*z**3 + 0*z**2 + 5*z**2.\nAnswer: -8*z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -60, 0.4, 1\/2, -8\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5908674 + -308225.1\nAnswer: -6216899.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ksfsskk. Give prob of sequence ssfk.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 2962*s + 38675.\nAnswer: -(s - 13)*(s + 2975)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430229, 860451, 1290649, 1720811, 2150925?\nAnswer: 2580979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, 81, 260, 501, 798?\n\"Answer: -i**3 + 40*i**2 - 2*i - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 561 + -828. Put 5, 0, f in increasing order.\nAnswer: f, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 5 + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*a - 374*a = 3836 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(637) + 1))**2 + ((sqrt(637) - (sqrt(637) + sqrt(637) + (sqrt(637) - sqrt(637)*-1)*-5 - sqrt(637)))*-1)**2.\nAnswer: 28*sqrt(13) + 64341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10359 = -28*f + 2269. Is 34 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pop when three letters picked without replacement from ovppopuvvpoo?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: 8170 (base 9) to base 11\nAnswer: 4543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 44*n**2 - 7*n - 3. Let f(d) = 6*d - 1. Calculate -f(a) + i(a).\nAnswer: 44*a**2 - 13*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -41, -155, -377, -743, -1289, -2051, -3065?\nAnswer: -4367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1421\/8759 + 2\/461. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62823456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c + 128. What is the remainder when 124 is divided by k(-16)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, n: 3, r: 5}. Give prob of picking 1 c and 2 r.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w - 21. Let d be k(7). Suppose 5*l - 5 = -d*l. What is the tens digit of -3 - l - (1 + -83)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -509*s**2 + 45*s**3 + 250*s**2 - 838*s**2 - 3*s**4 + 2*s**4 - 3*s**4 wrt s.\nAnswer: -96*s + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 + 3*k - 7. Let n be s(-2). Let z(u) = 67*u - 15. What is the remainder when z(n) is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -567, 3, -11, -225, 8 in decreasing order.\nAnswer: 8, 3, -11, -225, -567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 354 = -v, v + 4*s - 346 + 20 = 0. Let y = -326 + v. Solve 5*w + y = 9*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 1. Let b(f) = 15. Let p(y) = -32. Let v(l) = -5*b(l) - 2*p(l). Let i(a) = h(a) - v(a). What is i(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k + 361852 = 148*k. Does 57 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c + 42 = -31*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 1 + -1 + 1. Suppose -5*m = -h*m - 145. Let z = m + 58. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*(sqrt(500) + sqrt(500)*-1 - sqrt(500))*2 + (-2*sqrt(500)*-6 - (-1 + sqrt(500) + -2)) + -5)**2.\nAnswer: -1400*sqrt(5) + 612504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + 70 + -2 + 19171 + -19154.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 604 or 394?\nAnswer: 394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -81 in decreasing order.\nAnswer: -1, -4, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.61429909 rounded to 2 dps?\nAnswer: -1.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-18) + (-141)\/(-27). Suppose 0 = m*t + 27 - 102. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-5) + (-2)\/5. Let h = 1036\/15 - 69. Let z = -2\/5 + h. What is the nearest to -1 in 0.4, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7529442.\nAnswer: 2, 3, 1254907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.2 - -12. Let y = -19 + 18. What is the biggest value in -2\/15, l, y?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, q: 8}. What is prob of picking 2 a?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -12\/8093?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5376155, -4\/7, -12?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3300)\/(-15))\/(-44)*(-6)\/(-15)*-13.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 135*a - 129*a + 64*a - 5*a - 2*a + 5*a + 3*a - 3*a + 2*a + (-3 + 3 + 2*a)*(-3 + 0 + 4) + a + a - 3*a.\nAnswer: -199*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -470882.6*0.3\nAnswer: -141264.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3426719 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 8:55 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13957 - 13951. Calculate the highest common divisor of p and 6054.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 + -11. Suppose 5*h - 117 = 63. What is the lowest common multiple of h and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -598517029940*b**2 + 151 + 598517029942*b**2 + 2*b - 2*b.\nAnswer: 2*b**2 + 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/3))**(1\/3)\/(u**0\/(u\/(u\/((u*u\/(u\/((u*u\/(u*u**(-6)))\/u))*u*u)\/u))*u)))**(11\/5))**(1\/5) assuming u is positive.\nAnswer: u**(176\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 7. Calculate the greatest common factor of 56 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + r + 25. Determine h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-4))\/(4\/72). Let l = -16 - p. Let k = 26 - l. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2. Let k(n) = 1406*n + 832. Calculate k(q(w)).\nAnswer: -5624*w**2 + 832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -138 (c) 11 (d) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s - 9 = 20*s, -2*p - 2*s - 8 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2)*(-1)\/75*2. Let x(q) = 6*q + 60. Let z be x(-10). Which is smaller: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92870003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535 = 71*t + 246 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/8)\/(3\/(-4)))\/((-10338)\/1891854)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/10)\/u*u*u)**20 assuming u is positive.\nAnswer: u**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + u + 1. Let s = 597 + -592. Let l(k) = s*k**2 - 86 + 3*k - 86 + 0*k + 253 - 80. Give -l(o) + t(o).\nAnswer: -4*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1021 + 1021.11. Let w = -66 + 62.3. Let p = w + 4. What is the third biggest value in p, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 401 - 250. Let j = m + -31. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325))**2 + 3 + sqrt(130)\/(sqrt(10) + sqrt(40)\/sqrt(4)).\nAnswer: sqrt(13)\/2 + 328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from {t: 4, a: 2, m: 10, f: 1}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/8 and -69\/352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/35 - 9\/(-7). Let m be (231\/(-2))\/(k\/(-2)). Suppose n - 4*n = -m. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, n: 8, g: 8}. Give prob of picking 2 j and 1 n.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 11:53 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51947 + 83613. Is n a multiple of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2. Let k(j) = 3*j - 994686. Calculate k(a(l)).\nAnswer: 3*l**2 - 994686","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 295808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*p - 1 = 14, 3*p = 0. Let b(h) = -2*h + 10. Let d be b(u). Solve 0*a = -2*a - g + 6, -2*a + 26 = -d*g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334409.\nAnswer: 173, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 6*v**2 + 11*v - 9. Let w be j(4). Suppose 2*d + 7 = 4*d - w*t, 0 = -5*t - 5. Suppose -d*i + 1891 = -0*g + g, -i - 5708 = -3*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0*h + 3 - 7*h + 6*h + 3*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2113661 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 396\/4 + 2 + -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 8*o**2 - 20*o - 25. Let a be x(-5). Solve -5*l - 6 - 4 = a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 80, 376, 882, 1610, 2572?\n\"Answer: 2*f**3 + 93*f**2 + 3*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/10)\/(1\/38). Let a = 559 + -471. Let g = a + f. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2296*l**2 + 52*l - 78. Let x(r) = -255*r**2 + 6*r - 9. Let p(i) = -3*m(i) + 26*x(i). Let j(k) = -2*k**2. Give p(j(v)).\nAnswer: 1032*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 62639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/4)\/(c**(-1\/14)\/c)*((c\/(c\/(c\/(c*c*c**(2\/5))*c)))\/c*c)**(-45) assuming c is positive.\nAnswer: c**(541\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -150144 + 1?\nAnswer: -150143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 - 14.9?\nAnswer: -15.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29217116531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 4*l + 5. Let i be 2*(-9)\/12*2 + -53. Let k = i + 52. Determine d(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -42.05. Let c = -0.05 + g. Is -2 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -461769794 and -2201.\nAnswer: -461771995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - (-9 - (-15 + (-6 - 0))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 times -0.086\nAnswer: -0.01634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**4 - 4*g**5 + 5*g**4)*(-276 + 22 - 257 + 43).\nAnswer: 1872*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -9*n - 43. Let r be z(-5). Suppose 6 = h + a - 35, 5*h - 212 = r*a. What is the remainder when h is divided by (-2)\/(-7) + 244\/28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 - p - 2. Let j(o) = -9*o**2 - 4*o - 6. Let a(d) = 7*i(d) - 2*j(d). Let q(x) be the first derivative of a(x). Calculate q(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1655122 and 52\/4361.\nAnswer: 147305858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 664207668 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzezzezzzzze. Give prob of picking 2 z.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 - 4*u + 4*u + (-167*u - 209*u + 413*u)*(-6*u**2 - 2*u**2 + 0*u**2) to o + b*u + r*u**2 + f*u**3 and give f.\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2075 = 24*c + 731. Let k be c\/20 - 2\/(-10). Suppose 3*r - 36 = -5*p, -r + 3*r + 2*p = 20. Solve r + k = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000238 to 5 decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -572 + 492. Let c be 29*(-2)\/y + (-9)\/72. Factor 0 - c*v**3 + 3\/5*v + 3\/5*v**4 - 3\/5*v**2.\nAnswer: 3*v*(v - 1)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 3. Let b be t(6). Suppose b*i + 0*s = -5*s + 46, 3*s - 29 = -2*i. Calculate the smallest common multiple of 4 and 2\/i - 80\/(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27843341?\nAnswer: 19, 1465439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12 greater than -79036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24 - 3.51.\nAnswer: -3.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -481 - -1176. Suppose -33*t - w = 1021. Which is the nearest to t? (a) -4 (b) -5 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -85523819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8\/7)*b**0*b**(-8)*b**(-5\/4)*b)\/((b**0)**(-40)*b*b\/(b**(2\/3)\/b)*b\/b**2) assuming b is positive.\nAnswer: b**(-901\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/((-3015)\/(-536)))\/((-14)\/(-3)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-1) + 3)*1. Suppose 4*u - 3*w = -0*w + 121, -x*w + 5 = 0. Suppose 0 = 29*z - u*z + 48. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*o - 9. What is the second derivative of o*n**4 + 2*n**4 - 5*n**4 + 11*n wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.119999778 + -10.12. What is p rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 0.21\nAnswer: 24.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5121267074 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4\/9)\/l**(-2)*l**(2\/13)\/l**5 assuming l is positive.\nAnswer: l**(-385\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 810979343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26374 + 5272 + 5277 + 5273 + 5274 + 5*l + 5278.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/9? (a) 3\/5 (b) -1\/26 (c) 40\/3 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 70515825 and 0.1?\nAnswer: 70515824.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.15078 and -1.1?\nAnswer: 0.165858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -160433 divided by 13?\nAnswer: -12341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/8)\/((-2)\/4). Let u(w) = 6*w**3 - w**2 - w + 1. Let j be u(g). Suppose 3*r - 20 = -2*r. Solve 0 = j*t - v - v + 20, -28 = r*t - 4*v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0347 - 25.1653. What is v rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*3\/12*-33. Let h = -52 - r. Let z = h + 37. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 307? (a) 24 (b) -2.9 (c) 5\/3 (d) 3 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -154742, -154592, -154442, -154292, -154142?\n\"Answer: 150*b - 154892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/100*35*((-36)\/(-21))\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c + 0*c)*(0 + 0 + 2*c) + (-2 + 1 + 2)*(-4 - 20*c + 4)*(13*c - 5*c - 44*c).\nAnswer: 722*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/63*6*(-68)\/170?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(1 - 0)\/(-1). Let u = -12 + 20. Differentiate 5*o**3 - u*o**3 + p + 6 wrt o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1931215432 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -5 + 3 + sqrt(8)\/sqrt(4))*3)**2 + 3.\nAnswer: 54*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 416*v**6 - 65959*v**5 + 5*v**2 - 3562666?\nAnswer: 49920*v**3 - 3957540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000025078108 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*w + 12*w + 6. What is the least common multiple of w and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 67. Let r(v) = -v**2 - 3 + 9*v - v - p - 1. Calculate r(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 924273366 to the power of 1\/2, to the nearest integer?\nAnswer: 30402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -3*y - 2 + 15\/2*y**2 - 1\/3*y**3. Is u(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(6))\/sqrt(2) - -5*sqrt(75))**2.\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nineteen quarters of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111110101100010 - -100011010111?\nAnswer: -10111010010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/6 + -3 + 138\/36. Solve d*o + 8 = 4*a, -o + 3*o = -a - 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 42\/77 - (-2 + 7) - 15\/(-3). Sort 4, -1\/12, 1, z, 0.4 in increasing order.\nAnswer: -1\/12, 0.4, z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -65) + -41 - ((-22 - -21) + 5 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-20))\/((21744\/1080)\/151)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 - 3*p**3 + 3*p**3 + (-7*p**2 + 2*p**2 + p**2)*(0*p - 2*p + 7*p) + (-10*p**2 + 10*p**2 + 3*p**3)*(1 - 2 - 2 + (2 + 3 - 6)*(-3 + 3 - 2) + 1 - 1 - 1).\nAnswer: -25*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(128)*1*4 + -2*(sqrt(128) - 2*sqrt(128))))**2.\nAnswer: 165888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63048812 + 5?\nAnswer: 63048817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3250, 4235, 5220, 6205, 7190?\nAnswer: 8175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**5 - 54924267*p**3 + p**2 + 140597604*p - 2 wrt p.\nAnswer: 60*p**3 - 329545602*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 - r + 5. Let h be x(5). Let p = -71 + h. Round p to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-154)\/(-14))\/(-11)*11*4\/4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*g - 1410, 5*l - 2*g - 1410 = 8*l. Let s = -288 - l. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 9 + 9)*(92 - 92 - 315) to f*r + d and give f.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 8*y - 6*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 61 - -2?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 6*k + 2. Let q(t) = -t**2 - 4*t + 10. Let c be q(-5). Calculate the remainder when h(c) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 9 = -3*f - 5*d, 3*d + 6 = 0. Calculate the smallest common multiple of 2 and 6\/4*18 + f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7926621.8 to the nearest 10000.\nAnswer: 7930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + g + 19 = 0, -6*a + 3*a - 5*g = 10. Let n be a\/20 + (-146)\/(-8). Is (-5621)\/(-63) - 4\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**5 - 13105*j**4 + 11418660*j**3 - 3280532400*j**2 - 23527748160*j.\nAnswer: 5*j*(j - 876)**3*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2408 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**2*f)*f*(f\/(f\/f**(-4)))\/f*f*f)\/(f*f**0)**(2\/9))**(1\/12) assuming f is positive.\nAnswer: f**(-19\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-3) - 16\/(-3). What is the nearest to 2 in -0.3, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) 2 (b) -3 (c) -4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1737, 3398, 5037, 6654?\n\"Answer: -11*o**2 + 1694*o + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6*d + 1169 = 0. Let o = d - 108. List the prime factors of o.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 17 = 3*l, 2 = 3*v + 5*l - 7. Is -57 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**3\/2 + 18*k. Let v(b) = -4*b**2 + 2. Let q(c) = -5*c**2 + 3. Let m(x) = 2*q(x) - 3*v(x). Determine z(m(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*t - 12 - 18, 0 = 5*t - 4*h. Suppose -3*r + 21 = i, -t*r + 5*i = -8*r + 17. Let n = r + -5. Solve 4 = n*y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16833, 33582, 50333, 67086, 83841, 100598?\nAnswer: 117357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52025, -52033, -52043, -52055, -52069, -52085, -52103?\nAnswer: -52123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m - 5*k + 1 = -45*m, 4*m - 4*k = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 62548*s. Let a(u) = 262*u. Determine a(h(v)).\nAnswer: 16387576*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - t + t)*(-1 + 1 + 3) + (-1 + 1 + 2*t)*(2 - 4 + 3).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -7*k - 18. Let g be s(-3). What is the fourth smallest value in -5, 10, -2\/15, g?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 u when three letters picked without replacement from {r: 6, u: 6, a: 1, y: 6}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*m = 44*m + 2448 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3924.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 16) to base 13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 - 225 - 127)*(0 + 2*p - 2 + 4).\nAnswer: -536*p - 536","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.170003 - 0.17. Round g to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -7\/3, -1\/2, 2\/3, -24?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-8))\/((-27)\/36)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 - t**2 + 1)*(t + 3*t - 3*t) - 118 + 118 - 7*t**3 to the form s + q*t**2 + a*t + b*t**3 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 15*b. Let l be t(-15). Suppose 3*i + 4*i - 455 = l. What is the remainder when i is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-2 + 1)*(-28)\/(-8). Let n(d) = -7 - 2*d**2 + 3*d**2 - 3*d - 3*d. Let a be n(m). What is a rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/9, -2\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.06, -2.49, -32.25, 2\/15 in descending order.\nAnswer: 2\/15, -0.06, -2.49, -4, -32.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 755971.5 kilometers in centimeters?\nAnswer: 75597150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 2*q. Let d(j) = 5*j**2 - 2*j. Calculate -5*d(i) + 10*v(i).\nAnswer: -15*i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 318, -24, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-1 - 4)*1. Suppose -4*h - 182 = -p*h + 3*r, 4*h + 4*r - 712 = 0. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 11*b + 7. Let o be y(5). What is the remainder when 52 is divided by (-4 + 70\/4)*o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, -4\/5, 6, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -5*p - 4. Let h be 0 - -3*(p - 3). Let z(l) = h*l - 3*l - 5 + 3*l + 6. Give z(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178, 354, 530?\nAnswer: 706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 108?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3281 and 204?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 77, 74, 69, 62, 53, 42, 29?\n\"Answer: -g**2 + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -244630478 >= -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 83?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 8:38 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c**2 + 113*c - 847. Calculate g(7).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 u when three letters picked without replacement from luul?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 1, 31, 93, 199, 361, 591?\nAnswer: 901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6336 and 247716864?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**6\/120 + d**5\/20 - d**4\/24 - d**3\/6 + 3*d**2\/8 - 94*d - 2. Determine c so that p(c) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a factor of 134371436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 - 13*n + 22. Let f(w) = 3*w**2 + 7*w + 3. Let s(g) = -g + 17. Let u be s(20). Let t be f(u). What is the tens digit of i(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**2*w**4 + 16*i**2*w**3 + 3717*i**2 - 4*i*w**2 + 2*w wrt w.\nAnswer: 36*i**2*w**2 + 96*i**2*w - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2007641 take away 2?\nAnswer: -2007643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 803032.7 micrometers?\nAnswer: 80.30327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*w + 3 = -c, 72*w - 707 = 5*c - 1310 + 665 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76061.\nAnswer: 23, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.01871*-10778\nAnswer: 201.65638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28547161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 bigger than -2\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9594017 + -4?\nAnswer: 9594013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -63)\/(-2)*-1. Let c = 114 - q. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from {g: 1, m: 1, y: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4632750*x**4 - 12168903*x wrt x?\nAnswer: -55593000*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -9.99. Let h = 224.8 - 225. Which is the third smallest value? (a) -2 (b) h (c) 0.2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u + 15. Let r(v) = 24*v - 76. Let j(s) = -14*p(s) - 3*r(s). Let t be j(-17). Suppose -3*l + 347 + t = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 32.\nAnswer: -11\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 10:58 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*(sqrt(3) + -3) - (sqrt(48) + -2)).\nAnswer: -7 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 473226836*w**4 + 2*w**3 + w**2 + 377750*w + 19.\nAnswer: 11357444064*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - 0.34. Let d(b) = 2*b**3 - 51*b**2 + 116*b - 1057. Let q be d(24). Let i = -0.2 - -0.2. What is the smallest value in -0.1, q, i, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 243 - 150. Find the second derivative of -d*j + 285*j - j**2 + 15*j**4 - 96*j + 2 - 93*j wrt j.\nAnswer: 180*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 15\/(-3))*(-12)\/15. Let j be (6\/9)\/((-235)\/60 + g). Suppose 1181 = j*k - 3. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-20 + 14 - -1) + (-2 - 5) - -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-232)\/(-3132)*6\/(-4).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -2550472?\nAnswer: 510094.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 0*r - 3*r)*(1 + 0 + 1)*(1 - 5 + 3).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1662*b + 559*b + 8 + 0*b**2 - 13*b**2 + 556*b + 560*b + b**3 to the form v*b**2 + g + j*b + l*b**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2. Let u(h) = 2*h**2. Suppose 4*a + 4 = -3*w + 1, -13 = 4*a + 5*w. Let v(o) = a*u(o) - 4*d(o). Let r(t) = 5*t**2. Determine r(v(z)).\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19088143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*f + 28 = 0, -2*m + 22 = 2*f + 3*f. Suppose m*o - 11 = 31. Suppose 0 = -4*h - 0*h + 4. Solve -3*q - o + h = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - 3*n + 2*n)*((-4 + 2 + 3)*(2*n + 2*n - 6*n) + n + 0*n + 0*n + 2*n + 0*n - 3*n - 4 - 5*n + 4) to the form f + b*n**2 + g*n and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167\/(-11) - 1408\/(-7744).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3765, -7551, -11355, -15171, -18993, -22815?\nAnswer: -26631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10*w**3 - 2*w**2 - 2*w + 3. Let i be p(1). Solve -3*u + i - 3 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 4)*(-c + 3*c + 0*c) - 5*c + 4*c + 2*c - 6*c + 24*c + 15*c to the form b*c + q and give b.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2310 or 2349?\nAnswer: 2349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**18)\/o)**41)**(-20) assuming o is positive.\nAnswer: o**(-15580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 9.37 (c) 1 (d) 1\/3 (e) 0.4 (f) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9130567?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*i + 6 = -i, -2*k - i = -10. What is the second derivative of -3*z**3 - z + z**3 + k*z wrt z?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -426 (base 8) to base 7\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/6*48\/40. Suppose 0 = -a + q*n + 53, 0 = -4*n + 9 - 1. What are the prime factors of 6\/(-2)*a\/(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 495280575*p**2 - 84445880*p wrt p.\nAnswer: 990561150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 51084 = 4*h - 50924, -7*t - 166 = -2*t + 4*h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -191717311 - -191760849.30044. Let t = r + -43529.3. Let y = -9 + t. What is y rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 329 (base 12) to base 16.\nAnswer: 1d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-15)*3 - ((-1664)\/(-40) - 13 - 14)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101 + -3*2\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -145, -144, -143, -142?\n\"Answer: a - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 166 + 9*u + 0*u - 187 - u**2. Let p be d(6). Let i(y) = y**3 + 4*y**2 + y + 3. Let o be i(-4). Put -5, o, p in decreasing order.\nAnswer: o, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -146, 0, -5, -1, 3, -108 in increasing order.\nAnswer: -146, -108, -5, -1, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 0. Let l = -4 - j. Let g(i) = -i**3 - i**2 - 4*i - 3. Determine g(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66185 is divided by 1333.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**3*w**2 + 21*c**3*w - c**3 + 31*c**2*w + 487*w**2 wrt c.\nAnswer: -18*w**2 + 126*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -267*w**2 + 15*w - 5773. Let r(v) = -v**2 - 8*v + 9. Let k(p) = a(p) + 2*r(p). Find the first derivative of k(x) wrt x.\nAnswer: -538*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**4\/3 - 7378*a**3\/9 - 3742038*a**2 - 44893790*a\/9 - 3740944\/3 = 0.\nAnswer: -1832, -1, -1\/3, 3063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**2 + 8*h + 35. Give f(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*r + 32, -5 = -3*r + 2*r - 5*m. Let h be 6\/30 + 2\/(r\/(-9)). Suppose 3*q - h*q = -v + 21, 3*v - 69 = 3*q. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6463 - 6463 - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 5 (b) 0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.26989mm in meters?\nAnswer: 0.01126989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24034725 divided by -3575?\nAnswer: -6723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42*i**2 - 312048*i - 44925009.\nAnswer: -84*i - 312048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25602830 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14458 and 626732613?\nAnswer: 7229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z - 22. What is the remainder when z is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.9841\nAnswer: 3.9364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 smaller than -1216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003514 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.142 + -1772.142. Let o = 1770.109 + c. Let t = -0.9 - o. Round t to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a - a - 4*a)*(2*a**2 - 2*a**2 - 3*a**2)*(-2 + a + 2).\nAnswer: 30*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 353581 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-26))\/((-25732)\/286728).\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11a2 - 2?\nAnswer: -11a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1 = q - 2*l, -2*l = 2*q. Is 4\/65 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 3. Let i(m) = 2*m - 4. Let q(v) = -2*g(v) + 3*i(v). Let w(p) = 8 + 3*p**2 - 3 + 2*p**3 - p**3 - 4*p**2. Let o be w(0). Calculate q(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 7:50 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 180*p**2 - 33*p**2 - 179*p**5 - 2*p**4 + 49*p**5 + 272*p**2 - 77*p**2 wrt p?\nAnswer: -7800*p**2 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25500 or -25501?\nAnswer: -25501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 380?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 796*q + 246. What is h(-1)?\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -98.4?\nAnswer: 102.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37331?\nAnswer: 7, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a - 6*a - 4 - 1 + 2*a**3 + 4*a as v*a**2 + b*a + n*a**3 + q and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 12 = -2*p, 0 = -4*l - l + 3*p + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + 77 - (18 + 1).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/9 - 221\/(-4284)*-4.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -942 = -p + 1338. Suppose -p = 10*c + 210. Are 1 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 357664900 rounded to the nearest one million?\nAnswer: 358000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -3, -2306 in decreasing order.\nAnswer: 0, -3, -5, -2306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 22*p - 290. Give x(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 26 = 1. Let m = 8 - 5. Suppose m*l - 26 = -v*g + 4*g, -5*g + 2*l + 62 = 0. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 22 = -l, 3*l = 5*k + 7*l - 38. Calculate the remainder when k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 5612 = 3071. Is y a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 4*b + s, -8*s - 24 = -2*b - 7*s for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4077.027nm in millimeters?\nAnswer: 0.004077027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1341 and 4170510?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1084, -4278, -9608, -17080, -26700, -38474, -52408?\n\"Answer: -m**3 - 1062*m**2 - m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 3*a - 1. Let t(c) = 5*c**2 - 23*c + 2. Calculate -6*p(y) + t(y).\nAnswer: -7*y**2 - 5*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/3 and 109\/4813464.\nAnswer: 4813464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 2, b: 2, l: 1, d: 1, i: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsvvvvvqvsvsssvqsvas. What is prob of sequence qss?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1128 divided by 188\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 245\/(-28) + -4 - (-63)\/84?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddghhqhh. What is prob of picking 1 d, 1 g, and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 4*t**2 + 3. Let p be y(-4). Let s be p + (389 - 3)\/1. Suppose 2*a = 3*a - s. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. Let j(f) be the first derivative of f**3\/3 + 3*f**2\/2 - 4*f + 6. Let m be j(1). Sort m, y, -5 in ascending order.\nAnswer: -5, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a year?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 194*m - 424*m + 127*m - m + 0*m + 4*m + (-3*m + 0*m + 5*m)*(2 - 4 + 3) - 1 + m + 1 + (m - 4*m + 2*m)*(-4 - 3 + 5) - 1 + 1 - m.\nAnswer: -96*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21375033 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62434\/15 - -4166. Let b = 111464 - 3344243\/30. Let h = b - w. Find the common denominator of h and -7\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6790 + 0*5\/25. Suppose 0 = -2*w - 4*q + o, -3*w + 2*w = -5*q - 3423. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114960 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 11*o**2 - 65*o - 67. Let x be h(-15). Let m = 83 + -55. Is 6 a factor of 1028\/28 + x\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1020\/30702)\/((45\/14)\/(-9))\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -4, -29363, 53 in decreasing order.\nAnswer: 53, 40, -4, -29363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**4\/4 + 7*a**3\/3 + 5*a**2 + 2*a + 4. Is 9 a factor of j(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*m - 3, -f - 3*m + 31 = 0. What is the remainder when f is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34.8 * -203.\nAnswer: -7064.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1219*v**3 + 21*v**2 + 11*v - 22. Calculate o(1).\nAnswer: -1209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36804*f**4 + 69*f - 37.\nAnswer: 441648*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22666?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -182073288?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.4 - 10.4. Let r = f - 8.00000258. Round r to seven dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115034 - -4?\nAnswer: 115042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 25 (b) 5 (c) -2\/11 (d) -2 (e) -0.1 (f) 101\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 19. Is 6234\/9*h\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-175)\/(-13440)*96*16\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -28*o + 91. Determine c(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1105 and 512915.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllzglzlgzz. What is prob of sequence glgz?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 t, and 1 q when three letters picked without replacement from ccccqtoouctc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, m: 8}. Give prob of picking 3 m and 1 f.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 39*(-8)\/192.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 352890922 to the nearest integer?\nAnswer: 18785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 63*i - 50. Let t be j(4). Let s = t - 202. Let y(d) = d - 1. Let k be y(3). Solve -7*q + c - 6 = -k*q, -5*c + 5 = s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/444 and -139\/1110.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3) - sqrt(5)) + 5 + (sqrt(5) - (sqrt(80) + 0)**2).\nAnswer: -75 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-15))\/((-42)\/315)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 11. Let s be l(3). Suppose 0 = 7*t - 2*t - s. Suppose t*d + 5*g = 395, -5*g + 0*g = 3*d - 290. What are the prime factors of d?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 + (-20)\/5 + 1 + 2 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110001010011 (base 2) to base 7.\nAnswer: -30066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 432978 + 2?\nAnswer: 43297a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.053, 12, 0.1 in increasing order.\nAnswer: -2, -0.053, 0.1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0 = 20. Let t be (-9 - -10)\/((-1)\/q). Let g(i) = -i**2 - 2*i - 5. Calculate g(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -970, 1, 9\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - -78.\nAnswer: 78.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384298*h**3 + 470*h**2 - 470*h**2 + 384297*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830 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: Let g(p) = -9*p + 3. Let f be g(2). Let o = f + 18. Sort -4, o, 0.\nAnswer: -4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17698924*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3. Suppose n - 5 = -2*a. Factor r - 4 - 4*r - 6*r - 6*r**a - r.\nAnswer: -2*(r + 1)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 19*o + 12400. Let r = o - -497. Solve -f - r = a - 0, -5*a = -3*f - 27 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21919 from -1.\nAnswer: -21920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 83.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -102*b + 26. Let v(r) = 20*r - 5. Calculate 16*v(h) + 3*x(h).\nAnswer: 14*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -7*1411\/(-1071) - (-4)\/6.\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 376, 982, 1832, 2926?\nAnswer: 4264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from {r: 5, d: 5, o: 3, p: 2, b: 5}?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20792 times 9?\nAnswer: -1.87128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 10) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.6777 * 19.697\nAnswer: 13.3486569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:05 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t. Suppose -2*h = -5*h. Let r(u) be the first derivative of h + 0 - u**2 + 2. Calculate r(l(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or -7800?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2486 - -2484. Let h = -0.9 - -1. What is the nearest to 2 in 3, g, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -15. Let p = 11 + t. Is p >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**4 + 314096*p**3 - 10992131*p**2 - 1256384*p + 43968540 = 0.\nAnswer: -2, 2, 35, 314061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21993 - -21993.75895. Round x to two decimal places.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 2*o - 3. Determine l(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 15 - (-15 + (-13 - -33) + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a minute in milliseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 22*t + 54. Let g be o(26). Let j = -45 - g. Suppose -4*d = -3*q + 3, -10 = q - 0*d - j*d. Solve q*l + 5*w = 0, -5*w = -2*l + 4*l + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1980 and 2670?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1288*y - 95246 = 4984*y + 130546 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 401.8+32139.44259\nAnswer: 32541.24259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52736 = -283*j + 44812 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 5*b. Suppose 3*g - 30 - 3 = b. Suppose 2*p + 6 = 4*q, 3*q + 2*p - 7 - 8 = 0. What is the remainder when g is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.708 - 1.908. Which is the biggest value? (a) p (b) -0.1 (c) 123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:08 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1104600*z**6 - 130*z**3 + 196682991*z**2 wrt z.\nAnswer: -132552000*z**3 - 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 9 + 25 + 2965*r in the form z + x*r and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 7:33 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**3 + r - 1. Let k be n(1). Let g = -127950 - -127945. Put g, k, 30 in decreasing order.\nAnswer: 30, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -8*w + 3 - 11*w**2 + 5*w**3 + 3*w - 3*w**3. Let h be n(6). Suppose -h*t + 8*t + 26 = 0. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172\/285 + 6\/95. Which is the third biggest value? (a) -0.3 (b) -1\/12 (c) 4 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l = 57*l + 328 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 32*k + 34*k = -84, -k = -4*d - 28. Let m(v) = 5*v - 3*v - 3*v. Give m(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25151 and 43116.\nAnswer: 301812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2840000 to the nearest 100000.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w**2 - 1. Let c be b(1). Suppose 2*m = -0*m - 4*h, 4*h = 0. Let q be m*(-2)\/c*2. Solve 14 = -q*a + a - 5*r, 4*a = r + 18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*b + 16 = 3, 4*b = 5*o + 21. Is o greater than or equal to -4\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65964*n - 27060*n - 31516*n - 3 to the form f + h*n and give h.\nAnswer: 7388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/4)\/d)**(-28)\/((d\/(d\/d**1))\/d)**(-7) assuming d is positive.\nAnswer: d**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyfy when four letters picked without replacement from uiyyufivuviiiiyffiu?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -24*(15\/5 - (-168)\/(-96))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1661 - 996. Calculate the greatest common divisor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, e: 10}. What is prob of picking 2 i?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28533 = -26*q + 682021. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/292 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/7, 0.5, 27354?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 15*v**2 + 17*v**2 - 1 + v**3 + 9*v**2 + v - 40*v**2. Let z(g) = 5*g**3 + 7*g**2 + 3*g - 3. Determine -3*c(s) + z(s).\nAnswer: 2*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27927 and 1392?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is -0.173 >= 10997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*z - 14 = -0*z, -5*o - 3*z + 20 = 0. Let u(r) = -r**2 + 10180*r + 183511. Let x be u(-18). Which is smaller: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 5*d - 4. Let r be i(5). Let v = r - -7. Solve -7 = v*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 4\/30 - 94\/(-30). Let k(d) = 2*d**2 + n + 89*d + 2*d**2 - 80*d - 3*d**2. Determine k(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 2*d. Does 7 divide z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 2*h**7\/105 - 2*h**6\/15 - 9*h**5\/5 - 19*h**4\/3 - 32*h**3\/3 - 1617*h**2. Let q(d) = 0. What is d?\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5600.762 - -5596. Let b = u + 5. Round b to two decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w + 30 = -16*w. Factor 2*y**3 - y**3 - 107 - 3*y**2 + y**4 + 0*y**4 - w*y + 105.\nAnswer: (y - 2)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/5, -1\/7, -93, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000289209451 rounded to 6 decimal places?\nAnswer: 0.000289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 20*z + 2 - 8 - 1 - 2 in the form f*z + o and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*l + 119*l - 27896 = 204*l for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-540)\/45*(-32)\/12.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163*b**2*t**3 + b**2*t**2*v - b**2*v - 3*b*t**3 + b*t + 122*t**3*v - 2*t**3 + t wrt b.\nAnswer: 326*t**3 + 2*t**2*v - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 - 7*y**2 - 12*y - 9. Let g(l) = -l**3 - l**2 + l + 2. Let s(j) = -5*g(j) - x(j). Calculate the remainder when s(-5) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 48. Suppose -3*i = 3*y - 12, -3*i = n*y - 2*i - 16. Suppose 0 = -y*q - 0*q - 16, 5*q = -3*a + 118. What is the greatest common factor of 23 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/((-53)\/(-52)). Let r = i + -656\/689. Let z = -80\/117 - r. Which is the third smallest value? (a) z (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-28)*-17 + (-64 - 9).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21687, 86742, 195167, 346962, 542127, 780662, 1062567?\nAnswer: 1387842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28961 + 6702 = 3617*k - 33060 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -13350 - -25631. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*b**2 - 2410822*b + 20989335.\nAnswer: 14*b - 2410822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -h + 5*k - k, 5*k + 11 = -2*h. Suppose -3*m + 3*s + 6 = 0, s - 2 = -2*m + h. Calculate the highest common divisor of m and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -396.47062 to one dp.\nAnswer: -396.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14858488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 280*v**2 - 276*v**2 - 718*v**2 + 422*v**6 wrt v.\nAnswer: 50640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 14. Let g be u(8). Let k(p) = p**3 + 6*p**2 + 2*p + 8. Let l be k(g). Let o = -173 + 172.7. Which is the biggest value? (a) l (b) -9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 518 - 237. Suppose -580 = -279*p + m*p. Round p to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3447 (base 11) to base 10\nAnswer: 4528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*g + 12658 + 2057, 2*g - 19620 = -4*s. Suppose u - s = -4*u - t, -4*t - 4880 = -5*u. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/6 + (-304)\/(-228).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 28*t - 35. Let b be w(24). Calculate the highest common divisor of b and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8404.\nAnswer: 2, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/56*21\/(-8)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, e: 2}. What is prob of picking 1 w and 2 e?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 28 = 2*w - 3*n + 56, 0*w - n + 13 = 10*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueu when three letters picked without replacement from eueueeyseseesuyse?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.98 - -1. Let u(g) = -8*g + 266. Let w be u(14). Let m be 1\/(3\/(-21))*(-44)\/w. Which is the third biggest value? (a) 1 (b) t (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 823*z**3 - 12 - 8*z + 2 + z**2 + 822*z**3 to the form y*z**3 + d*z + k*z**2 + t and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 28680?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27362855, -27362856, -27362857, -27362858?\n\"Answer: -s - 27362854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 3:49 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17557129?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -19*u**2 - 39*u + 2. Give i(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2703.00001081 + 2703. Round p to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, p: 10}. What is prob of picking 4 p?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/4 and 75\/45501752?\nAnswer: 45501752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1583 + 3*x + 3135 - 1566 in the form g + y*x and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.969188 meters in kilometers?\nAnswer: 0.008969188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + 2*i**4 + 2*i**4)*(2*i - 5 + 5 + 3 - 3 + i + (2*i + 3*i - 6*i)*(-3 + 2 + 2) - 3*i + 3*i - 2*i - 3 + 3 - 2*i).\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**2 - 2243124*a + 419300439948 = 0. What is a?\nAnswer: 373854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513003.7ml to litres.\nAnswer: 513.0037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 3*y - 48 = 0. Suppose -4*a = 2*w - 9*a + 19, 0 = 3*w - 4*a + 11. Solve 0 = -g - w*g - y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + k)*(-5*k + 4*k + 4*k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 753 = 4*b + 3*n - 130, b = 5*n + 215. Let k(a) = 10*a**2 - 76*a - 2. Let g be k(8). What is the highest common factor of g and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194635 is divided by 58.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3215 and 35?\nAnswer: 22505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458 a factor of 162523132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 123*a**2 + 129*a - 755. Is s(116) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**4 - 1306*n**2 + 98*n + 1306*n**2)*(-7 - 3 + 6) + 2 + 4*n**4 - 2 to the form i*n**3 + z + o*n**4 + w*n**2 + v*n and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -225\/58 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4500, 4403, 4128, 3585, 2684, 1335, -552?\n\"Answer: -15*s**3 + s**2 + 5*s + 4509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-476)\/(-30) + (-4)\/(-30) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:45 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = -o, -5*l + o = 2*o - 21. Suppose l*p = 14 + 36. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71.00000212 + -71. Round q to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s = -85 + 55 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30115 - 1232. Let c = -5587 - -36704. Let j = k + c. Round j to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6191845, -12383832, -18575819, -24767806?\nAnswer: -30959793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-11\/3)*(q\/(q**(-14)*q))\/q*(q*q*q*q*q\/(q**37\/q)*q)\/(q\/(q\/(q\/q**30)*q)) assuming q is positive.\nAnswer: q**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40989, -41010, -41035, -41064?\n\"Answer: -2*i**2 - 15*i - 40972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -14405204 and -14405203 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:01 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 28 = 2*b, -724*u - 22*b - 84 = -725*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 2 - (-4 + 35 + 5 + -13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 5*v**2 + 2. Let x be i(5). Suppose -20*g + 16*g = -48. Suppose 6*r - 9*r = -g. Sort r, x, 3 in increasing order.\nAnswer: x, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.87 - -2.86. Let u = n - -0.01. Let z = -1172\/5355 + -2\/595. Which is the second smallest value? (a) z (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 = -4*g + 69, -g = -5*f. Suppose -2*u + 3*i = -3, 2*i + 0 = -10. Let h be ((-105)\/u)\/(2\/12). Calculate the greatest common factor of h and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 8:25 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3140242102 (base 5) to base 16\nAnswer: 644607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14052 and 372066514?\nAnswer: 2342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-125)\/10 - -7)\/(-2) - 20\/(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55545350 and 12080.\nAnswer: 444362800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 210456960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) 1.6 (b) -0.5494 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 9*c = -4. Suppose -11 = c*j - j. Let l = j + 38. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11469620 divided by -14\nAnswer: 5734810\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 2*f + 3. Let x be l(3). Let m = x - 5. Is -2 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/((a*a**(-8))\/a))\/a)\/a)**24*((a*a**(3\/8))\/a*a)**(3\/5) assuming a is positive.\nAnswer: a**(7713\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3*20\/24)\/(2\/(-4)). Let q(d) = 12*d**2 - 6 - 3*d - 12*d**2 - d**2. Calculate q(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - (-6147)\/(-1071)) + 2\/(-14). What is the nearest to 0.2 in p, -1\/6, -1, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117*u + 235181*u**4 - 235180*u**4 + 2 + u**3 - 27*u to f + z*u**2 + y*u**4 + j*u + p*u**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4 = -17. Suppose -3*x + 76 = u - f*x, x = -3*u + 189. Let p = u + -62. Solve -p*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y - 21. Suppose -13*d - 2*c = -8*d - 29, -c + 32 = 5*d. Calculate z(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326246497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m - 2*m - 2*m + (2*m + m - 2*m)*(-1 - 5 + 5) + 3*m - 2*m - 2*m - 83*m + 650 + 662 - 1318 to the form b + x*m and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40.3 - 40.1. What is the biggest value in 4, 5, d, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*h - 77*h = 21508. Calculate the remainder when h is divided by 172.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2. Let p(n) = 40001*n**2. Calculate d(p(h)).\nAnswer: 8000400005*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + s**2 - 3*s + 7. Let q(p) = -p**2 + p. Let b(y) = o(y) + 3*q(y). Is 13 a factor of b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2066*o - 62932 - 149866 = 0 for o.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2016 and 5288724.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 4*((-27)\/12 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i + 14. Let h be n(-5). Which is the closest to -5? (a) -4 (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 8064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -846*b**3 + 407*b**2 wrt b.\nAnswer: -5076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1221275614.\nAnswer: 2, 13, 17, 389, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*i + 6 + 4 = 0, -2*i - 50 = 3*g. Let w be (-1270)\/(-25) - (-16)\/g. Suppose 18*d - w = 13*d. What is the remainder when 28 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.07 and 314.\nAnswer: 314.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*c**4 - 13*c**4 - 7*c**4 - 4*c**4 - 2*c**3 - 9*c - 1 to l*c**2 + u + r*c**4 + d*c + s*c**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 5\/6*m**3 + 1 + 1\/12*m**4 - 5\/2*m**2 - 2*m. Let r(p) be the first derivative of s(p). Calculate r(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12, -28, -52, -84?\n\"Answer: -4*z**2 - 4*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 5 + 5 + (3*t + 0*t - t)*(-1 + 2 + 1))*(4*t**2 - 2 - 6*t**2 + 10*t**2)*(-2*t**2 - 3*t**2 + 7*t**2).\nAnswer: 48*t**5 - 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**10\/50400 + u**6\/180 - u**5\/60 + u**2. Let d(j) be the third derivative of l(j). Differentiate d(x) wrt x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11185601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/8)\/((-140)\/(-112)). Let c(o) be the first derivative of 0*o**3 + 0*o**4 + 0*o**2 + 2 - o + i*o**5. Differentiate c(h) wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 2 - 4) + 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 7. Suppose r*u + 2 = 4*u. Solve -2 = -4*o + 2*i, -3*i = 5*o - 2*i + u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 7:53 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**5\/4 + f**3\/6 + 10*f. Find the second derivative of d(j) wrt j.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10*k**3 + 110*k**2 + 2. What is u(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 1333964240?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 40 + 29 = -2*l, 21 = 5*n + 2*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.13 - -0.53. Which is the third biggest value? (a) 2\/9 (b) j (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200021605?\nAnswer: 5, 7, 1459, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1964, -1\/6, -2\/13, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13365 - -13290 - (-86 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a**3 + 55*a - 55*a)*(3 + 5*a + 3*a**2 - 4*a - a**2).\nAnswer: 18*a**5 + 9*a**4 + 27*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itciittxitvictva. Give prob of sequence civi.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.07848 - -958.3?\nAnswer: 831.22152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7995 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyyyyyyyyyyyyyxyyy.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 4.266.\nAnswer: -63.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 523616 and 32?\nAnswer: 523616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 100486210 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/(-2))\/(7\/(-14)). What is the greatest common factor of 30 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, -3, -4\/9, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -26. Let u = -18 + f. Let r(y) = y + 8. Let q be r(u). Solve 0*a + a - 1 = q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -8*i**3 + 6*i**2 - 32*i + 3. Let g(b) = -3*b**3 + 2*b**2 - 11*b + 1. Let y(k) = -17*g(k) + 6*q(k). Is y(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/74061889 and 65\/60596091.\nAnswer: 666557001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2\/11, 3, 0.4, -10, -1.99?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 9*g**2 + 13*g + 11. Let r be f(-3). Suppose r*k = 17*k + 162. What is the greatest common factor of k and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27100 + -21717. What is the highest common factor of 14 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/2 - (-224)\/4 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d = 25*d + 18*d. Let x(o) be the first derivative of 2*o**4 + 15 + 4\/3*o**3 + d*o - 2*o**2. Factor x(a).\nAnswer: 4*a*(a + 1)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 3. Suppose -u*g = 3*y - 9, -3*g + 4 = y + 1. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -20*k. Let x(d) = -93*d - 85. Let l be x(-7). Let i(v) = 4*v - 566 - v + l. Calculate i(w(n)).\nAnswer: -60*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-192)\/2016*105\/(-12)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 20*j**2 - 20*j - 6. Let s(p) be the third derivative of 7*p**5\/60 - 7*p**4\/24 - p**3\/3 + 3*p**2. Suppose 0 = v - 2*v + 6. Give v*n(m) - 17*s(m).\nAnswer: m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 938 + 4882 = -6*w. Let p = -475 - w. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (sqrt(7) - (sqrt(14)\/sqrt(2) + 5)**2)*-4)*1.\nAnswer: 180*sqrt(7) + 635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000272149 to seven dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 4*j + j)*(-2*j - j**3 + 2*j) - 5*j**4 + 4*j - 4*j + 19*j**4.\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + sqrt(245) + (sqrt(245) - (5*4*sqrt(245) + sqrt(245)))**2 + 4*sqrt(50)\/(sqrt(10)*-1).\nAnswer: 10*sqrt(5) + 98000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 25 = -0*c - 3*x, 3*c + 3*x - 27 = 0. Suppose -4*i - 3*d = -4*d - c, 3*d = -5*i + 12. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -7*l + 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - x + 2*x + (-4 - 3 + 5)*(4*x - 4*x + x) + 8 - 8 - 3*x + (-21*x - 24*x + 9*x)*(0 - 2 + 1).\nAnswer: 34*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k. Let l = -77 + 77. Let c(h) be the first derivative of -1 + 3\/2*h**2 + l*h. Give c(m(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q**3 - 17*q**2 - 62*q - 429. What is the thousands digit of v(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*k - 88, 0 = -5*k - 2*t + t + 220. Let d be (k\/(-55))\/((-2)\/10). Suppose a - 98 = d*b, -3*b = 5*a - 0*b - 467. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z**3 + 3*z**2 + 10. Let h(p) = -15*p**3 - 5*p**2 - 21. Let c(s) = 3*h(s) + 5*y(s). Find the first derivative of c(k) wrt k.\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = 14*m - 881. What is the highest common divisor of m and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5893250 to the nearest integer?\nAnswer: 2428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 5*f = 873. What is the remainder when f is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 87048720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24927560 divided by 5.\nAnswer: 4985512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1727*b**4 - 41591*b**3 + 6090*b**2 - 1141 wrt b.\nAnswer: -41448*b - 249546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3\/5 - 39*k**2\/5 + 224*k\/5 = 0.\nAnswer: 0, 7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 5. Let h(z) = 2*z**3 + 14*z**2 - 12*z + 2. Let b be h(-6). Let m = -134 + b. Let u(y) = -2*y - 12. Let j = -7 - -12. Calculate j*u(w) + m*l(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -2*m - h, -42*m + 37*m + 3*h = -295. Suppose 965 = 3*f - 2*n - m, 4*n - 1027 = -3*f. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693992.\nAnswer: 2, 13, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1051 - 73 = 163*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 l when three letters picked without replacement from {u: 2, t: 9, l: 9}?\nAnswer: 27\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -281*x - 3829 + 18218 + 3877 = -6743 for x.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-4)*(-1044)\/32886\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -15. What is the closest to 1 in -0.1, -3, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2132645*i**3 - 1303203 wrt i.\nAnswer: 6397935*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 278911 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 85 = -157. Which is bigger: 0.9 or w?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.299823 take away -25?\nAnswer: 24.700177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g**3 + 5*g**2 + 3*g. Let f(x) = -5*x**3 + 6*x**2 + 4*x. Calculate -5*f(b) + 6*p(b).\nAnswer: -5*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -23. Suppose d*f - 60 = -4*j, 4*f = -0*f + j + 40. What is the lowest common multiple of f and 0 - -2 - (-1)\/(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 325845914 divided by 2\nAnswer: 162922957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121202 - -1211?\nAnswer: 200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -52, 2, 0, -23649?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 6 + -7 + 5 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569246?\nAnswer: 2, 284623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 + 51. Let c(t) = t**3 - 2*t**2 - 49. Give 3*c(s) + 2*u(s).\nAnswer: 3*s**3 - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435455479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69823226.\nAnswer: 2, 11, 1481, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -524*d - 24649. Give n(-47).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 36?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 8:22 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19005515 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70090187 to the nearest integer?\nAnswer: 8372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2991 = 5*w - q, 1801 = 4*w - w + q. Suppose 3*z + 3018 = 4*x + x, -w = -x - 4*z. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.064 + 27.936. Let r = 33.3 - 2.3. Let y = r - h. Put y, 0.5, -4 in increasing order.\nAnswer: -4, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 3*j - 28. Let z be i(-5). Suppose -15*w + 37 = z. Solve 9*o + 6 + 3 = w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15532922 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - h**2 + 2)*(-19*h**2 - 337 - 337 + 2*h + 675).\nAnswer: 19*h**4 - 2*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.4 and 1383.\nAnswer: 1386.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 3}. Give prob of picking 1 i and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1736183, 6944899, 15626087, 27779741, 43405855, 62504423?\nAnswer: 85075439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 55 + 79 = 0. Let n(o) = 3*o - 18. Let b be n(7). Suppose 3*m = 9 - b. Solve -m*p - 19 = r*z, -2*z = 3*z - 2*p + 21 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rccr when four letters picked without replacement from {r: 2, c: 16}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 28. Suppose 133 = x*m - 83. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -3 (c) 2 (d) 107950 (e) 5 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152600296.\nAnswer: 2, 17, 227, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 5. Let i = 36 - g. Calculate the highest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*k**2*r**2*v - 4*k**2*r**2 + 27*k - 15*r**2*v wrt v.\nAnswer: -6*k**2*r**2 - 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1772, 3, 57 in descending order.\nAnswer: 57, 3, -1772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbbsbsttsttsttssy. What is prob of picking 1 y and 1 t?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*u**4 - 2*u**3 - 2 + 9*u**4 - u**3 - 2*u to the form h*u + l*u**4 + t + y*u**3 + s*u**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + -3 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 7\/330047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -4 (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12450181 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-54)\/(-15) - 2\/(-5). Solve -4*q = -a*r - 4, r - 2*q + 5 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*t - 28 = 4*t, 10 = -2*k - 4*t. Suppose -9 - 8991 = -k*c. Round c to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + -1)*-3 + sqrt(1100) + -3*(sqrt(1100) + -1) + sqrt(1100))**2.\nAnswer: -480*sqrt(11) + 17636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/10 and -109\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98808233.\nAnswer: 17, 229, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*d - 66 = -18*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 23 + 214 + 8 = 5*b, 4*u = 10*b + 140 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/17)*h**(-1\/4)*((h*h*h*h**(2\/7)*h*h)\/h)**(-3))**(2\/7) assuming h is positive.\nAnswer: h**(-6183\/1666)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: What is -8381012 rounded to the nearest one thousand?\nAnswer: -8381000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6593.545nm to meters.\nAnswer: 0.000006593545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(300)*-1 + 4 - (sqrt(300) - 3*(sqrt(300) + 0 + sqrt(300))))**2 - ((-4*(0 + sqrt(300)) - sqrt(300)) + 4)).\nAnswer: 370*sqrt(3) + 4811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p + 20 = 0. Solve q - p = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51165 is divided by 64?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4992.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1381.5 - 1382. Sort o, 18, -0.3, 0.3 in ascending order.\nAnswer: o, -0.3, 0.3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 7 + 22 = -5*f, -5*l + 30 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/5 - 21144*n\/5 + 42276\/5.\nAnswer: 3*(n - 7046)*(n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 3*s**2 + 3. Let u be t(-3). Suppose -2*p + 2 = u*g, -3*g - 1 = -4*g - p. Let l = 18 + g. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-1))\/(8\/(-16)). Suppose 0*s + u*s - 5*n = 19, 3*s - 13 = 5*n. Calculate the greatest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 28*w**2 + 1805*w - 34*w**2 - 1805*w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 t when four letters picked without replacement from {t: 2, x: 11}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6170643 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -45030498 divided by -3\nAnswer: 15010166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4 - 4. Suppose -2*i - h = -3*i. What is the lowest common multiple of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 265*u - 7 + 3*u**3 + 15*u**2 - 285*u - 16*u**2 - 2*u**3 to the form m*u**3 + q*u + s*u**2 + j and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/7 of a week?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 6*z + 56. Let q be s(-11). Let l = -110 + q. Solve -3*f + 5*r - 4 = l, 14 = 2*f + r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h - 3*h**2 - 19*h**3 + 392*h**4 + 8*h**5 + 5*h - 398*h**4 = 0?\nAnswer: -1, -1\/2, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/86 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 5*l + 26 + 3, -2*r - 4*l - 22 = 0. Put r, 5, -1301 in ascending order.\nAnswer: -1301, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -664*o + 12424175*o**3 + 664*o - 12424151*o**3.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2\/19 (c) 0.3 (d) 700821\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + r**2 + 2*r - 2. Let u be o(1). Suppose -3*y + 4 = u*q, -21 = 4*y - 4*q + 7. Let l = -0.01 + 9.01. Is l at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 16 = 2*a. Suppose 6*h - h - 18 = -3*f, 0 = -3*f - 12. Suppose k - t = h*k - 13, 0 = k - 4*t - a. Solve 4*b = 3*g - 5, 4*g - 2*g = 3*b + k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 414.04566 hours?\nAnswer: 2.4645575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.3? (a) 1\/11 (b) -2 (c) 15 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*sqrt(288) - sqrt(288)) + 1 - (sqrt(216)\/(sqrt(12)*-1) + (sqrt(108)*-1)\/sqrt(6) + sqrt(18)))**2.\nAnswer: 30*sqrt(2) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 298047431 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 335 + 47 = 0. Suppose -21*f = -29*f + y. Solve f = -4*z + 6*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 44270414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(-38*u**5 - 48 + 48) + (0*u + 0*u + 2*u**2)*(5 - u**3 - 5).\nAnswer: 112*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*(-5 + sqrt(500)*2))**2.\nAnswer: -1200*sqrt(5) + 18100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 8*k - 32. Suppose k = 4*d - 4. Suppose d*t = 8*t - 95. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 3*z = -5*o - 192, 3*o - 199 = 4*z. Let j = -75 + o. Let v(w) = w**2 + 12*w + 12. Give v(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 13, 4, -121, -5 in descending order.\nAnswer: 13, 4, 2, -5, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132091852.\nAnswer: 2, 23, 907, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25705, -51377, -76981, -102529, -128033, -153505?\nAnswer: -178957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 3*k - 30053*k**3 + 29795*k**3.\nAnswer: -258*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 2 + 180*y + 5649*y + 14 to n*y + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 1137*b**2\/2 + 2633*b - 1129. Differentiate f(m) wrt m.\nAnswer: 1137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -33. Suppose -n = -2*n + c. Suppose -o = 2*x + n, 2*o - 2*x + x = -1. Is o at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -8 - (-42 + 18 + -4)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**3 - 5*a + 5. Let l(u) be the third derivative of u**6\/120 + u**4\/24 - u**3\/6 - u**2. Let k be 84*(18 - 36240\/2016). Calculate k*i(o) + 11*l(o).\nAnswer: o**3 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/30120 and -1\/13554.\nAnswer: 271080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 22 = -m + 4, 9 = -3*m + 3*j for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgzngnnsgggnsvnnzg. What is prob of picking 1 g, 1 v, and 2 s?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185463 is divided by 3947.\nAnswer: 3901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u)**(-1\/47)*u**(-1\/6)\/(u\/(u*(u\/(u\/(u**(-3)*u)))\/u)*u) assuming u is positive.\nAnswer: u**(-1169\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1860 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/5, 5, -5, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43.4 - 43.4. Let i = -7 - -7.5. Which is the second biggest value? (a) 0.4 (b) i (c) t (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**3 + a. Suppose -5 + 3 = 2*d. Let x be n(d). Suppose p + 1 = o, -x*p + 5*o - 7 = 1. Sort -4, p, 4 in ascending order.\nAnswer: -4, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 9*z**3 + 16*z**2 + 7*z + 9. Let y = 26 - 29. Let j(u) = -4*u**3 - 8*u**2 - 3*u - 4. Calculate y*v(c) - 7*j(c).\nAnswer: c**3 + 8*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 divided by 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18351 is divided by 4181.\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1045.0485 (b) 5 (c) -0.5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6)*(-4 + 4) - -65. Suppose s*v = 66*v. Find r such that 3\/4*r**2 - 3\/4 + 3\/8*r**5 + 9\/8*r - 3\/2*r**3 + v*r**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s\/((s**3\/s*s)\/s))))\/s)\/s*s*s**(4\/5)*s*(s\/(s**(-2\/5)\/s))**43*(s*s\/(s\/(s\/(s*s**(-1\/5))*s))*s*s*s**(3\/4))**(1\/6) assuming s is positive.\nAnswer: s**(4193\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*n + 750, 6*n = 5*s + 2*n + 1237. Suppose -5*i + 12 = -3. What are the prime factors of 2 + i\/((-15)\/s)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 932489.2cm?\nAnswer: 9324892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) -4\/3 (b) -2 (c) 2\/7 (d) 0.5 (e) -276.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -46 + 216 + -123 + -125?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 + 3800*k**2\/3 + 82511*k + 1355442.\nAnswer: (k + 33)**2*(k + 3734)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2386350 by -795450.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3558.\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, 13\/9, -5\/6?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5019 - 5040.97. Round k to 0 dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-5)*13\/39?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33610, 33607, 33600, 33583, 33550, 33495, 33412?\nAnswer: 33295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 164 = 4*u, 0 = 3*f - 2*u - 0*u - 478. Let t = 844150 - 844140. What is the greatest common factor of t and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*o = 1, -2*u + 5*o = -4*u. Let k(j) = -6*j - 12. Let x be k(-3). Are u and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 10. Suppose -w*o + 9 = -4*o. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-27) + (-40)\/(-18). Suppose -z*l + 141 = -5*q, 0*q + 3*q = 5*l - 343. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 6264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 3038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/9 + 8\/(-30). Let r = -0.233 + 12.533. Let d = r - 12. Sort m, -2\/17, d.\nAnswer: m, -2\/17, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1\/(6\/(-3) + 1) + 15 and (-32 - 0)\/(-2) - -2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*u**3 - 36*u**3 - 43*u**3 - 50*u**3 + 215*u**3 - 43*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 9*c + 215, -119 = 5*y + c - 97 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -7. Let j be (-18 + 16)*(-1 - -2). Sort -3, j, k in descending order.\nAnswer: k, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 6, 4\/29, 5?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/14)\/((-6)\/(-8))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -26 + 18 - -48.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -657 + 662. Let r = 4.6 + -5. Let f = -0.1 + r. What is the nearest to 0 in -0.4, f, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-19\/2))\/q)\/q)**(3\/35)*q**(24\/11)*q*q\/(q*q**26) assuming q is positive.\nAnswer: q**(-2609\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1854880 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*l**3\/7 - 22*l**2\/7 - 6*l\/7.\nAnswer: 2*l*(l - 3)*(4*l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 14*b. Suppose b + 2 = 2*i, j = -i + 3. Let p be ((-3)\/(-2))\/(j - (-26)\/(-16)). Solve 0 = -5*l - p*t + 7, 0 = -l + 3*l - t - 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 0*g**2 - 2*g + 3*g)*(52*g + 92*g + 79*g)*((0 + 0 - 1)*(5*g - 3*g - 3*g) - 5*g + 4*g - g).\nAnswer: -446*g**4 - 223*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 10 - 11 - 1) + 5 + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -196*s**3\/3 + 6188*s**2\/3 - 3488*s\/3 + 496\/3.\nAnswer: -4*(s - 31)*(7*s - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -11\/5 (c) 0.1 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1100)\/(-1300))\/(50\/130))\/((-2)\/20).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 6:27 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 103*s - 41. Let j be l(18). Let r = 3204 - j. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-2)\/(-2)) + 0 + -1. Let k(x) = 5*x**3 - 2*x**2 - 5*x. What are the prime factors of k(s)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*1*(-19)\/((-532)\/119). Solve 25*c - z = 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -4 - -4) + 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 483747 + 136075 = 0. Is 63 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 9:43 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 = 58*a - 146 - 118 + 17 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 9 = -3*c. Suppose 5*m - 461 = 889. Let n = m - 105. Calculate the greatest common factor of c and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9932 = -5*g - 5*p - 9937, -5*p - 13 = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2250\/19 - -8267\/95. Which is greater: -32 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920 divided by -230?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) + 3 + sqrt(28))**2*1.\nAnswer: -288 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6552 is divided by 134?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2195? (a) 3 (b) 13 (c) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*1\/(-12) + 14\/56. Factor 1\/2*h**3 + 0*h**4 - 1\/2*h**5 + 0*h + m + 0*h**2.\nAnswer: -h**3*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-9)\/36)\/((-84)\/32).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509967 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**0*r*r)\/r)**8\/(r**3*r**(-1\/6)))**(3\/7))**(3\/29) assuming r is positive.\nAnswer: r**(93\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (5 - 2 - 2). Let x(g) = -g. Let h be -1*1 + -11 + 15. Let w(t) = 2*t + 2. Let q(y) = h*x(y) - w(y). Let i(b) = -b. Calculate f*q(l) + 4*i(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 - 6. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-100))\/((-1)\/3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*d - 27 - 87 = 0, -3*f - 3*d = -63. Suppose 0*x = -x + f. Suppose 5*g = x + 14. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7) - (sqrt(7) + sqrt(847) + 2*sqrt(847)))*-6.\nAnswer: 2*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157736201?\nAnswer: 7, 22533743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) - 4\/(-3). Suppose -4*n = -4*m + 40, 5*m + n - 42 = i*n. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**4\/12 - 11*t**2\/2 - 402*t + 3. Let a(y) = -2*y. Calculate a(p(b)).\nAnswer: -2*b**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4132375030.\nAnswer: 2, 5, 7, 59033929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 + 3*q + 4. Let v(y) = -y**3 + 3*y**2 + 5*y - 8. Let m be v(4). Let r(n) = -n**2 - n - 1. Give m*u(a) - 14*r(a).\nAnswer: 2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + -111\/2. Let c(s) = 20*s**2 - 2*s - 1. Let i be c(-1). Suppose -5*a = 1 - i. What is the third biggest value in a, u, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/7 + 23922*n**2\/7 - 59538198*n\/7 - 74526685322\/7.\nAnswer: -2*(n - 6431)**2*(n + 901)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 8. Let x(c) = 2*c - 6. Let o be x(m). Suppose 3*j - 343*t = -339*t - 15, 4*t - 27 = -j. Solve -o = j*l - 7*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360349554?\nAnswer: 2, 17, 1579, 25339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**8\/20160 + j**6\/240 + j**5\/30 + 6*j**2. Let r(d) be the third derivative of a(d). Differentiate r(w) wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 4727*w - 75427. What is j(-16)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 527845744 and 46896.\nAnswer: 15632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 32.\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0186228 to four dps.\nAnswer: 0.0186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 9*o**5 - 325*o**4\/12 + 85*o**3\/3 - 25*o**2\/2 + 13*o - 3. Find n, given that b(n) = 0.\nAnswer: 1\/4, 5\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 7 = p, -4*h + 2*p - 3*p + 9 = 0. What is the derivative of h + 5 + 3103*v - 3134*v wrt v?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16725*k**2 - 22032*k**2 - 20316*k**2.\nAnswer: -25623*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.4 + 6.8. Sort k, -4, -13 in decreasing order.\nAnswer: k, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*n + 4*w = 160*n + 164*n - 20, 8*n = -3*w - 35 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g + 2*g + 13*g**3 - 5*g + 0*g**3 wrt g.\nAnswer: 78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**3 + 12*j**3 + 12*j**3.\nAnswer: 29*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-8\/7)*q*q)\/q)**46*(q*q**(-13))\/q**(5\/3))**6 assuming q is positive.\nAnswer: q**(5498\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) 1 (c) -1\/4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2988009899*t + 10*t**2 + 2988009897*t - 5976019796*t.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 8, 3*r + 2*s = -2*r + 627. Let k = -124 + r. Solve 3*l = 2*d + d - 18, 2 = -k*d - l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umuc when four letters picked without replacement from {c: 5, g: 3, m: 2, u: 2}?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) + (-150)\/(-12). Let o = t - 5. Calculate the greatest common divisor of 21 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 6 + 0 - b**2 - 1 + 1 to w + p*b + d*b**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3780 = -11*i. Let j be 2\/(-8) + (-189)\/i. What is the nearest to 0 in -2\/7, j, -1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f**3 - 20*f**3 + 5*f**2 + 7*f**2.\nAnswer: 3*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*c**5 - 4*c**4 - 144*c**3 - 4*c**2 + 426*c - 280 = 0. Calculate c.\nAnswer: -4, -7\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from {v: 1, b: 1, x: 1, m: 4, p: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = -3*m + 2*u, 3*m - 27 = -4*u - 236. Calculate the common denominator of m\/10 + 6 + -9 and -37\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryyvkprppbkpvpbpkpk. Give prob of picking 1 b and 2 r.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 8*o = -m - 3, 3*m = 5*o + 35 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17156127 + 0?\nAnswer: -17156127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 12*x**2 - 18*x + 19. Calculate g(11).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 1199*r - 1195*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4) + 52\/16. Suppose -308*s + 476 = -240*s. Solve -3*c - s = 2*v, -3*c - 6 = n*v + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - 53*a + 39. Let n be r(26). Suppose -n*p = -148 - 8. Let w(z) = z**2 - 8*z - 14. What are the prime factors of w(p)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -236*x. Let j(h) = -2*h**2 + 25. Let w(y) = y**2 - 10. Let o(d) = -2*j(d) - 5*w(d). Calculate m(o(b)).\nAnswer: 236*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -444.9405 - 0.7128188\nAnswer: -445.6533188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**6\/120 + b**4\/24 - 17*b**3 - 6*b**2. Let c be z(0). What is the tens digit of 0 + 1 - (c - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 801.00000865 + -801. What is m rounded to seven dps?\nAnswer: 0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.20514 millennia in years?\nAnswer: 28205.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -4*v + 12, 3*w + 8*v + 6*v = 59 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/680 and 131\/510?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -1\/42*a**4 - 1\/21*a**3 + 0*a - 1\/210*a**5 - 3*a**2 + 0. Factor l(n).\nAnswer: -2*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -0.3. Let k = -3.5 + 3. Which is bigger: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 46400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7594, -7552, -7510, -7468, -7426?\nAnswer: -7384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8.5, 2, -2, 0.2 in descending order.\nAnswer: 2, 0.2, -2, -8.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-438)\/2336)\/(24\/736).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umum when four letters picked without replacement from mmmmummummmmmmu.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2. Let w(x) be the first derivative of -11*x**5\/30 + 14*x**2 - 101. Let j(a) be the second derivative of w(a). Calculate o(j(r)).\nAnswer: 1452*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425979 is divided by 91.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 5*v**2 + 2*v + 3. Let c(g) = g**3 - 2*g**2 - g + 1. Let o be c(3). Let l = -12 + o. Determine i(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 8*p - 69 = -2*j - 4*p, 4*j - 6*p - 162 = 0 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 624 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - 77. Which is the second smallest value? (a) -2\/5 (b) j (c) -0.08 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073142767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27774 + -21?\nAnswer: -27795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 110389 and 0.069613.\nAnswer: 110389.069613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04835713044 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*s - m - 1, 5*s + m = -1. Let g(i) = -5*i**2 + 3*i**3 + s*i**3 + 1 + i**3 + 6*i + 3. Let n(o) = -o**3 + o**2 - o - 1. Give g(j) + 5*n(j).\nAnswer: -j**3 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-156)\/338)\/((-52)\/(-13)*(-2)\/(-8)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:28 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387*q = 356*q + 166718. Is q a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2 + 3*q + 4. Let k be u(3). Let h = -127\/4 - k. Let x be -1 - -9 - (50 - 40). What is the closest to 3 in h, x, 1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4)\/(1\/2). Let l(m) = -m**2 + 3*m + 2. Let p be l(a). Let v(r) = r - r + 0*r - p*r. Let y(k) = 3*k. Determine y(v(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-6))*p*p*p**(2\/19))**27)**(-43) assuming p is positive.\nAnswer: p**(-178794\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, -2, 0.5, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Suppose w*k + 5 = 35. Solve 0 = 2*d - k - 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**4*x**2 - 32*t**4 - 2*t**2 + 36*t*x**2 + 7*t*x wrt t?\nAnswer: 48*t*x**2 - 768*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r = 6. Let x = 3 - r. What is the second derivative of -c**3 + 0 + c + x wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (96\/18)\/((-2)\/(-3)). Let x(r) = -r**3 + 10*r**2 - 5*r + 7. Let f be x(o). Suppose 5*m + f = 10*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.191?\nAnswer: 0.0382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(77) - (sqrt(77)*3 - sqrt(77))) - sqrt(77)*-2*5)\/(5*(sqrt(1331) - sqrt(1331)*3 - sqrt(1331))).\nAnswer: -4*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42169 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*r + 98*r - 510323 - 38227 = 0. Calculate the highest common divisor of 75 and r.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - (-102)\/18 - (-13)\/3. Suppose -2*n + 4*y = 2*y, 0 = -n + 2*y - 2. What is the lowest common multiple of n and ((-416)\/(-20))\/2 - v\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 12. Calculate the lowest common multiple of s(-16) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (165\/(-22) - -9)\/((-3)\/(-20)). Suppose a*c - 74 = -24. Calculate the lowest common multiple of 34 and c.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-536*l**2 + l - 526*l**2 + 1068*l**2 + 17)*(-2*l**2 + 9 - 9).\nAnswer: -12*l**4 - 2*l**3 - 34*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-420)*(-136)\/(-2)*3150\/(-270).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a factor of 39796559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 49*y**2 - 150*y - 30. What is the remainder when 1981 is divided by z(52)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2)\/(2\/4). Calculate the smallest common multiple of 8 and h*(1 + (-3)\/18*22).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93242*p**3 - 2*p + 49596*p**3 + 48766*p**3.\nAnswer: 5120*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y - 12 = 0. Suppose 0 = -y*h + 3*h + 3. Suppose 4 = -h*w + 10, w - 20 = -2*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4 - r + 1 + 2*r. Suppose 0 = 4*y + 3*u - 21, 4*y - y - 3*u = 0. Let c be (-1)\/3 - (-7)\/y. Give d(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -38494*l - 2925544. Determine h(-76).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1442*j - 1445*j - a = -396, 0 = 5*a - 45. What is the remainder when j is divided by (-1 - -2)*11\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -321, -4 in descending order.\nAnswer: -4, -13, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166632*q**3 - 3*q**2 + 5428*q.\nAnswer: 999792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 7. Let n(d) = -6*d**2 + 78*d - 251. Let b be n(5). Let f(h) = 3*h**3 + 21. Calculate b*q(g) - 4*f(g).\nAnswer: -g**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15217*d + 15967*d + 3547*d.\nAnswer: 34731*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 6:52 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -222, -309, -354, -339?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -235789\/123 + 1917. Sort -0.5, i, 4, 2\/7 in descending order.\nAnswer: 4, 2\/7, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106414\/(-124432) - (2408\/(-808) + 3)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 1. Let h(p) = 6*p**3 + p**2 - p + 7. Let y(w) = -h(w) + 5*l(w). Let c be y(-2). Differentiate 0 + 1 + 2*s + c wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170311 and 9?\nAnswer: 1532799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 9:26 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 6*c**2 + 7*c + 7. Let y(k) = k**2 + k + 1. Give -h(s) + 6*y(s).\nAnswer: -s**3 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15\/7 + -209\/91. Let j be (-5)\/14*28\/(-35). Which is the closest to -0.1? (a) l (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-3) - 105\/(-45)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -191 + 1?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 + 15*c**2 - 9*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 43\/9, 3, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 t when three letters picked without replacement from {v: 2, p: 2, q: 2, w: 10, t: 3}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) + (-4)\/(-6). Suppose x = y - 4*y + 19800. What is y rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 2\/(-4))*(-10 - 0). Let u = 14 - 16. What is the units digit of (-5)\/(q\/u) - (-17 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6200 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x**2. Let k(l) = -13*l**2 - 9. Let g(w) = 0 - 12*w**2 + 2 + 15*w**2. Let v(y) = -18*g(y) - 4*k(y). Determine s(v(o)).\nAnswer: -28*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1 = -3. Let d = 2 - v. Solve 2*l + 17 = -l + a, -4*l + d*a - 31 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 27*v**3 - 15*v**2 - 15. Let s(z) = 7*z**3 - 4*z**2 - 4. Let r(g) = 3*g - 8. Let n be r(2). Let o be 14\/3 - n\/6 - 1. What is o*x(a) - 15*s(a)?\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -469663993 and -3.5?\nAnswer: 469663989.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*k - 1886 = -0*k, k = -5*j + 3141. What are the prime factors of j?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4878, -4877, -4864, -4839, -4802, -4753?\n\"Answer: 6*j**2 - 17*j - 4867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-12)\/(-18))\/(3\/35) and 95\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0053 and -59305?\nAnswer: -314.3165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7}. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1374 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -140050 + 10?\nAnswer: -140040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shbb when four letters picked without replacement from bshbbsshhbs.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 9*w**2 + 4*w - 6. Let z(f) = f**3 - 9*f**2 + 3*f - 5. Let p(b) = 3*v(b) - 4*z(b). Calculate p(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, -15, -59, -141, -273, -467, -735, -1089?\n\"Answer: -2*z**3 - z**2 - z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y - 1. Let p be g(-2). Let u = p - -14. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -294637\nAnswer: -10\/294637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 11*r**2 - 9*r + 13. Suppose 26 = -3*z + 3*b + 11, 0 = 3*z - 2*b + 20. Calculate u(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94736 + 36053 = 58*p - 120699. List the prime factors of p.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 55 - 10. Let u = o - 11. Suppose 17 - 1 = u*j. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {r: 2, v: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.42 - 0.420021. What is q rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47510\/8*256\/320 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.6469 rounded to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 534, 2111, 4742, 8433, 13190, 19019, 25926, 33917?\n\"Answer: t**3 + 521*t**2 + 7*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1*i**(-5)*i**(-1\/3)*i**(2\/3))**(3\/31) assuming i is positive.\nAnswer: i**(-11\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/15 - 114\/(-9). Let o be (4\/(-12))\/(4\/g). Let z(u) = 41*u**2 - 2*u - 1. What are the prime factors of z(o)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77035.\nAnswer: 5, 7, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-8922135)\/12 - (-5)\/(-20). Suppose -m = -5*f - 223513. What is f rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90554082 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 26\/7 (b) -2.59 (c) -1.3 (d) -5 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -1023.\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7372 divided by 4.\nAnswer: -1843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3, -2*c = 4*u - c - 65. Which is smaller: u or 25?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 0)*3\/(2 + -5). Solve 0 = r - 6*r + 5, f = -4*d + 3*r + 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 24 = -9*v. Put v, 5, -27 in increasing order.\nAnswer: -27, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 986 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1057, -2721, -4979, -7807, -11181, -15077, -19471, -24339?\n\"Answer: 4*y**3 - 321*y**2 - 729*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21436?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.64166 minutes in seconds?\nAnswer: 5198.4996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -41821 at least -41825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-84)\/(-168)*0\/(-1). Solve s + 5 - 1 = j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 130*y**2 - 232*y - 22213. Calculate c(133).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4884 take away -0.08152?\nAnswer: -4883.91848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 576 + -576. What is the third smallest value in 2\/11, z, -1\/154?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u + 2*u - 2586*u**3 - 518*u**3 - 10*u - 430*u**3.\nAnswer: -3534*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 - 1 + 1)*(7 - 9*t - 7).\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 23\/22?\nAnswer: 23\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3441 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12)\/(17\/(-136))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812545829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1701 - -4?\nAnswer: -1675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 694989108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1595 is divided by 1342.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 42, 65?\n\"Answer: 23*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1738037870 to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/21 + 47\/168. Which is the second biggest value? (a) 0.1 (b) l (c) -2\/9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503039783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-21))\/8*198\/(54\/(-9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 8*o**2 - 8*o + 3. Let d be q(-7). Let w = -8 + d. Solve 0 = -c - w*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 34. Let v(a) be the second derivative of 0*a**2 + 0 - 2*a + 1\/12*a**4 + 3\/40*a**5 + 1\/60*a**y + 0*a**3. What is n in v(n) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (237 - 242) + -2 + -3 + 1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 265\/((-50)\/70*56\/(-16))?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 544 and 546 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -10196730.4 to the nearest 1000.\nAnswer: -10197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 5. Let m = -1 - b. Let p = 132\/305 + -2\/61. Put m, -2, p in descending order.\nAnswer: p, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 9*k**2 - 8*k + 10. Let c be u(-8). Let p be 2\/c - (-9)\/5. Suppose 0 = -o + 2*x + 14, 2*o - p*x = 14 + 12. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1534653, 1534643, 1534635, 1534629, 1534625, 1534623, 1534623?\n\"Answer: t**2 - 13*t + 1534665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-8) - (-59)\/2.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-10)\/(-40)*8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2334 divided by -2334\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 12 = -7*j. Suppose -2*n - j*s + 43 = 2*s, -4*s - 91 = -5*n. Solve 9 = -u + 3*p, u = 4*u - 5*p + n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from slw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 39*q**2 + 18*q - 63. Determine v(19).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 17. Suppose 28 = -x*i + 7*i. What is the second derivative of -3*f + 8*f**i - 14*f**4 - 16*f**4 wrt f?\nAnswer: -264*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 6:15 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1385101*t + 1385067*t = 374 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i = -144 + 225 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -281 - 1158717?\nAnswer: -1160108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(63\/(-8)))\/((-14)\/(-21))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80595864.9999834 - -80595872. Let g = -7 + p. Round g to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39067194 to the nearest integer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -312*j*m**3 + 120*j*m**2 + 222223*j + 2*m wrt m?\nAnswer: -936*j*m**2 + 240*j*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196921 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 2*p - 594. Give f(17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115288673*i**2*u + 1879*i*u - 2*i - 128*u + 4 wrt i?\nAnswer: 230577346*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a hour in minutes?\nAnswer: 1710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 48 = -0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00222416043 to six dps.\nAnswer: 0.002224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -2041?\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 4*l - 16, 0 = -r - 4*l + 3*l - 4. Suppose -y + 16 = -2*w, -4*y + 5*w - w + 44 = r. Is y at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15\/49, -142, 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -26*d - 1. Let f be v(-1). Let j = -18 + f. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (4 + (2 - -186))\/((-14)\/(-532))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5640828?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 4*w + 6*w)*(798*w + 567*w - 332*w + 1054*w - 366*w).\nAnswer: 1721*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**3 + 8*s**2 - s - 2. Let t(a) = 4*a**3 - 9*a**2 + 3. Let w(h) = 5*n(h) + 4*t(h). Calculate the remainder when w(-5) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(16) + sqrt(16))*-5 + sqrt(48)\/(sqrt(6)\/sqrt(2)))\/(sqrt(80)\/(sqrt(100)\/sqrt(10))*2).\nAnswer: -19*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3724)\/(-8379))\/((-1)\/27). Let d(q) = -q + 50. Calculate d(g).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64442, 64441, 64440, 64439, 64438?\nAnswer: 64437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 57*s + 192. Calculate k(-58).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2074415?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001237 <= 2001236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6\/(y\/y**(2\/31)))**(-11))**18 assuming y is positive.\nAnswer: y**(-31086\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2760 + 2761. Let j be 4\/14 + (-12)\/(-7). Solve -3 = -j*o - q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3265, 8514, 13763, 19012, 24261, 29510?\nAnswer: 34759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, 8, 95, 2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let i(u) be the second derivative of -10*u**3 + 54*u. Give 2*i(l) - 108*z(l).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 33 (b) 5 (c) 2 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(2584\/(-17))*-52?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -6 in ascending order.\nAnswer: -6, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggdg when four letters picked without replacement from {d: 1, g: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 130.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*r - 1680005, 4*r + 840010 = 3*r - 2*i. Round r to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*85\nAnswer: -850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/7, -1\/3, 1\/4, -4, 3004?\nAnswer: 3004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 10 (b) 105 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -257836381*a**2 + 78091307 wrt a?\nAnswer: -515672762*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 14*j**2 - j - 10. Let d be i(-14). Suppose 0*s - d*s = -68. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = j + 11 - 4, -18 = 4*j - a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -731*z**2 + 1455*z**2 - 729*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w**3 + 2*w**2 + w. Suppose -4*l = 1 + 3. What is the remainder when o(l) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2500279.\nAnswer: 521, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 122682750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.86 - 3.96. Let o(d) = -d**2 + 13. Let m be o(-3). Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4252109097.\nAnswer: 3, 709, 1999111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10640489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 429, 1, -5 in increasing order.\nAnswer: -5, -3, 1, 429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4)*x\/x**3)\/((x*x**(-1\/4))\/x**(-7)))**49 assuming x is positive.\nAnswer: x**(-931\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 10 = -6*z. Sort z, -3, 4 in descending order.\nAnswer: z, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 9860?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**2 - 6 - 6*k - k**2 + 0*k**3 - k**3 - 3*k**2. Let s be c(-7). Is 18 a factor of s\/((-91)\/(-2)) - (-2020)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 112 = 120. Sort k, -39, -0.3 in increasing order.\nAnswer: -39, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13368*g - 3 = 13365*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 2*w**6\/3 + 7*w**5\/5 - 11*w**2\/2 - 2*w - 14. What is the second derivative of t(b) wrt b?\nAnswer: 80*b**3 + 84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2. Let l = 349 + -347. Let o(m) = 19*m**l - 48 + 79 - 31. What is v(o(w))?\nAnswer: 1444*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 56\/(-40)*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 l when three letters picked without replacement from {l: 13, o: 3}?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.941 * -0.5.\nAnswer: 0.4705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -226*q**3 + 226*q**3 - q**6 - 25 + 9*q**4 + q**2 wrt q?\nAnswer: -120*q**3 + 216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*s**2 + 0*s**2 + s**2 + (0*s**2 - 2*s**2 + s**2)*(-1 + 2 + 1) - 5*s**2 + 6*s**2 - 2*s**2 + (-s - 4 + 4)*(0 - 2 + 0)*(2 + 2*s - 2).\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 188*j**2 + 5392*j + 21760.\nAnswer: -4*(j - 68)*(j + 5)*(j + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/5 + 1127\/35. Suppose -3*x + 96 = 2*r, x - 2*x = -5*r - b. Is x a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 105608 = -8*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22394 + -4?\nAnswer: 22390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.34318677708818 plus 5?\nAnswer: 24.34318677708818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/18 + 6 - (-4)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.04126 (b) 0.5 (c) -0.2 (d) 3\/5 (e) 0.19 (f) 0 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Suppose -4*u + 42 = -s*u. Suppose 3*d = -5*r + u, 3*r + 2*r - 39 = 3*d. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 5*k + 7. Let a be b(6). Let n = a + 78. Solve -n*q - 9 = -16*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21093228, -42186486, -63279746, -84373008, -105466272?\n\"Answer: -h**2 - 21093255*h + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -150 and -53393 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15*115731\/(-3507)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - p = -2*p - 10, 0 = 2*p + 2. Let m(f) = -f**3 + 2*f**2 + 5*f - 6. Let u be m(g). Solve 0*q + 3*q = u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 2248092?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 657 + -656.703. Round j to two decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = p - 27949 - 14321, -21138 = 2*d - 2*p. Is 3\/1 - (d - -11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.128362787 rounded to three dps?\nAnswer: 0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = -3*z, 0 = -3*p - 2*z - 0*z + 19. Find the third derivative of 0*t**2 + p*t**4 + 8*t**2 - 3 + 3 wrt t.\nAnswer: 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2063 - -2337. What is t rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 0*f**3 + 20*f**2 + 0 - 1\/3*f**5 + 0*f**4 + 1\/30*f**6 + 0*f. Find z such that y(z) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1649*q**3 + 1672*q**3 - 3374*q**3.\nAnswer: -53*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - 0)*(-5 + 4)*8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.64 - 0.36. Which is the third biggest value? (a) y (b) -4 (c) 2\/11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7 = -5. Suppose -5*p - 143 = -q*g, -429 + 100 = -5*g + 3*p. Does 32 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o + 10. Let k(g) = g + 1. Calculate -10*k(s) + u(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 10*m - 7. Let n be v(-7). Suppose 2*c = n + 4. Solve 1 = -q + f - 1, 0 = 3*f + c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4281 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 236 + -135. Let j = 100.9959 - g. What is j rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 + 35 + 16*l + 26*l + 27*l + 4. Give o(-22).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 19 = -3*i, 10*c - 3*i + 13 = 9*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**4\/4 - b**2\/2 - 4*b - 2. Let i be 114\/27 - 4\/18. Let c be (-1 - -11)\/(-5) + i\/2. Determine u(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -5*h + 3. Let g(y) = -10*y + 271. Let r be g(27). Calculate the remainder when h is divided by (((-12)\/(-30))\/1)\/(r\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**4\/8 + 3*q**3\/2 - 5*q**2. Let x = 28 + 22. Suppose -5*l = -5*j - x, j + 6*l - l = 8. Give c(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*i - 6. Let g be (-2)\/(-3) + 202\/i. Let k = 63 + g. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441284293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 5. Let c(h) = h**3 + 6*h**2 - 2. Let b be c(-6). Let p be (3\/(-2))\/(b\/(-12)). What is the units digit of s(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 10*h + 10. What is m(3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 2, -0.2, 2\/5, 1\/42, -1\/16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - -237. Let l = v - -1593. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*j + 336*j - t = 5 + 1, 0 = -j - 4*t - t + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1212 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -1, -4\/3, 7, 4 in increasing order.\nAnswer: -4\/3, -1, -0.12, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11723575, -11723551, -11723525, -11723497, -11723467, -11723435, -11723401?\n\"Answer: f**2 + 21*f - 11723597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 - 107*k - 4. Let o(s) = -3*s**2 + 108*s + 3. Give -6*o(x) - 4*p(x).\nAnswer: 2*x**2 - 220*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50998 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 22360464?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.108 + -12.408. What is the nearest to -1 in 4506, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from {n: 1, m: 5, v: 2, x: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785405 is divided by 2380.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 334278?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/5)*q*q**2)**(5\/4)*((q\/q**(-1\/5))**(2\/3))**(1\/22) assuming q is positive.\nAnswer: q**(1163\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (0 - -5 - (-11 + 18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1113\/1881478 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 420*k**2 + 2689716*k - 864877728.\nAnswer: -3*(k - 502)**2*(k + 1144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11895138 and 306.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 + 57. Let i = 3.2 + -0.2. What is the nearest to i in -2, m, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1861, -1857, -1853, -1849, -1845, -1841?\n\"Answer: 4*t - 1865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 826272367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72571825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: -9 + ((-160)\/(-20) - (-7)\/4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 - 6*k**2 - 2*k**4 - 95 + k + 94 - 899*k**2 - k as b + n*k**2 + v*k**4 + j*k**3 + m*k and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*t + 34 = 8, 0 = -p - 8*t + 14. Let m(g) = -15*g**3 - 2*g**2 + 7*g. Let f(v) = -8*v**3 - v**2 + 4*v. Give p*m(z) - 11*f(z).\nAnswer: -2*z**3 - z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4924 = -2*k + 4*h + 3874, k - 4*h - 4389 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, 0.3, 0.6, 74804, -1\/8?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/8)\/(26\/52)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 3:38 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 141*y + 146*y + 22, 4*y + 20 = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -21622, -2, -1429 in decreasing order.\nAnswer: -2, -1429, -21622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 4*a - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 551.3313s to milliseconds.\nAnswer: 551331.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6750 divided by -18\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 - 4*c**2 + c. Is 12 a factor of z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28240 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*w - 140 = -82*w. Solve 9*a - 4*a = 2*i - 8, i = -3*a + w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -807 = 11*q - 2853. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -3) + -1*1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4990 is divided by 161.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -480.59396+547\nAnswer: 66.40604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124917, 124919, 124921, 124923?\nAnswer: 124925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*o - 24*o - 25*o + 68*o - 12*o - 2 in the form t*o + l and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 9*h**2 + 3*h - 6. Let a be u(-8). Suppose 4*n + p = 4*p + 31, -2*p = -4*n + a. Let d(f) = -f + 12. Let v be d(3). Which is bigger: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 329463744?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-3) - 2\/(-6). Suppose -3*q + 3*h = -48, -a*q = -q + 3*h - 37. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -709799 divided by 43.\nAnswer: -709799\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 times 1065735?\nAnswer: -128953935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 5*l. Let n be h(5). Let m = 11 - 11. Suppose m*c + 1 = -c + 4*j, 3*c + 2*j - 39 = n. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13 + 14)\/((-1)\/(-13)). Let h(j) = j**3 - 11*j**2 + 10*j + 1. Let b be h(10). What is the greatest common factor of b and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233028 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**4\/5 - 2901322*r**3\/5 + 17408004*r**2\/5 = 0.\nAnswer: -1450667, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 6*j**4 - 32*j**4 + 5*j**4 + 18*j**2 - 16*j**2 as y*j**2 + r + m*j + p*j**4 + q*j**3 and give p.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -3*v + z, -100 = -2*v - 2*z + 72. Suppose 18*p + 24*p = v. Solve -3*a + 25 = p*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*o + 2662 + 3375, -5*o = 4*g - 4823. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 114*x**2*y**3 + 275*x**2 - 17*x*y**3 - 39*x + 4*y**2 wrt x?\nAnswer: 228*y**3 + 550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o, -5*k - 7*o = -5*o - 2390. Let t = 480 - k. Solve -4*w + t + 10 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 1670 - 1670.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4676)\/4008 - (-2220)\/1656?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.09781 to one dp.\nAnswer: 51.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 48 = -5*u, -5*g + 23 = 76*u - 79*u. What is the remainder when 2\/7 - 180\/(-7) is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q**3 - 2*q**2 - 3*q - 1. Let u be x(-4). Let h be (-3 - -8)*1 + 4. Is 10 a factor of (-2)\/9 + u\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -428*t**3 + 453 wrt t?\nAnswer: -1284*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 22*t**2 + 6*t - 38. Calculate the smallest common multiple of 30 and x(-4).\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0150079 + 0.015. What is i rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 38*w - 6. Determine x(-40).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -1.5. What is the second biggest value in p, 0, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**5\/10 + 7*a**4\/24 + a**3\/2 + 35*a**2. Let h(t) = 5*t**2 + 6*t + 2. Give -5*h(m) + 4*u(m).\nAnswer: -m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1039, 1040, 1041, 1042, 1043?\nAnswer: 1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5942?\nAnswer: 2, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a + w + 50, 4*w - 25 = -5*a. Let t(r) = -r**3 + 9*r**2 + 2*r - 11. Let k be t(a). Solve 3*y = 2 + k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83190*h**2*w**4 - 49*h**2*w**3 - 2*h**2 + 184*w**2 + 815*w - 29 wrt w.\nAnswer: 1996560*h**2*w - 294*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 53\/6329?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24882*o + 14519*o + 10144*o.\nAnswer: -219*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -25 - (2 + 2 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597.2172 years to decades.\nAnswer: 59.72172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129021 is divided by 87.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.913 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -85 and -333.4.\nAnswer: -418.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z + 3*w + 15, -2*w - 183 = -193 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from pmf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 - -77. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3733237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32*j**2*n + j**2 - 716*j + 4*n**4 wrt n?\nAnswer: -32*j**2 + 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -294*c**2. Let g(l) = 2*l**2 + 5*l. Determine g(k(b)).\nAnswer: 172872*b**4 - 1470*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1160)\/(-464)*(2 - (-18)\/5). Solve -34 = 8*h + m for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*x**2 - 4415\/4*x + 0.\nAnswer: -5*x*(x + 883)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*r - 3. Suppose 0 = 13*j - r*j + 64000. Round j to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x - 3. Let t(j) = -57820*j + 17346. What is 5782*o(m) + t(m)?\nAnswer: 5782*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*c**3 + 514*c**2 - 33897*c - 877181001 wrt c?\nAnswer: 12*c**2 + 1028*c - 33897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47088363991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6617\/10 + -610. Which is greater: 53 or r?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxlu when four letters picked without replacement from xxllluxxls.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/533700 and 41\/450?\nAnswer: 533700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**6 + 157*y**3 - 40*y**2 - 26*y + 2 wrt y.\nAnswer: -240*y**3 + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11273.\nAnswer: 11273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Find the common denominator of 9\/1446640 and -67\/578656.\nAnswer: 2893280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**5\/300 - 52*n**2. Let g(t) = 0. Calculate t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -21*t + 6. Let g be k(-1). Calculate the highest common factor of g and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 0 = 72. Let u = 9 + -11. Put h, u, -1 in increasing order.\nAnswer: h, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89954481.\nAnswer: 3, 127, 179, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Factor 144*h**2 + 122*h + 20.\nAnswer: 2*(8*h + 5)*(9*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 69 = -96. Let i(w) = 3*w**2 - 11*w + 9. Let r be i(4). Let j = u - r. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1286628056?\nAnswer: 2, 7, 22975501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 2464 = 2*m - 4*g, -3*m + 1840 = g. What is the remainder when m is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0350062 to four dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 31 = -5*z, -r - 4*z = -2*z - 7. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1.59, -397, -1\/4, -2, -0.4, 1, -4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 take away 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, f: 3}. Give prob of picking 3 g.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -996, -1325, -1654?\n\"Answer: -329*g - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**3 - 4*y + 7. Let l(g) = 6*g**3 - 5*g + 8. Let t = 1196 + -1192. Calculate t*l(d) - 5*h(d).\nAnswer: -d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1025 and 1025.\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = 4*n - 187. Put 17, n, 1 in descending order.\nAnswer: 17, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o. Suppose 8 = -4*k + 3*g - 7, k - 10 = -2*g. Let u(f) be the third derivative of 0*f**3 - 1\/6*f**4 + k*f + 3*f**2 + 0. Calculate u(j(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 366\/811457 or 0?\nAnswer: 366\/811457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2244 and 660.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 2*h + 13*h.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -322\/5. Let u be (-16)\/(-24) + (-2)\/6. What is the closest to 5\/2 in -5, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459039092 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - c**3 + 3*c**3 - c**3 + 0*c**3 - c**3 + 0*c**3 + (-4*c**2 + 6*c**2 - 3*c**2)*(8*c + 9*c - 11*c).\nAnswer: -6*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -38. Suppose t = 23*x - 19*x - 2080. What is x rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2)**(4\/25)*((t**(1\/3)\/t*t)\/t)\/(t*t**(-1\/9)) assuming t is positive.\nAnswer: t**(-278\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 1. Let x be o(2). Let u = -827\/11 + 75. Suppose 8 = 6*j - 4. Sort x, j, u in decreasing order.\nAnswer: j, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 13 (c) 66297\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*((-178)\/(-56) + -3). Let w = -8\/7 + n. Sort w, 0.2, -0.1 in descending order.\nAnswer: 0.2, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25.1 - -29. Let u = a - 0.1. Let z = -3 + u. Which is bigger: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6843*n**4*s**2 - 9479*s**2 with respect to n.\nAnswer: -27372*n**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3 + 17*g**3 + 6*g**3 + 3*g - 12*g wrt g.\nAnswer: 126*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 382*k**2 + 11*k + 7. Is g(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 27 = 3. Suppose 12 + 45 = 2*h + f, -123 = -4*h + f. Calculate the remainder when h is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 4795995?\nAnswer: 4795996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2953832 divided by -421976?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (7 - (12 - 4))) + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 + 15105?\nAnswer: 15154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 7*i**2 + 9*i - 8. Let f be d(8). Suppose f = 3*o - 47 + 11. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 1 (c) -0.5 (d) 2\/675\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*v + 8*v - 12, 0 = -5*o - 10. Suppose 3*w + 5 = 4*w, 2*k + v*w - 34 = 0. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32128 and 40?\nAnswer: 160640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a decade in years?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**6*k**2 + 31734435*c**4 - 14*c**2*k**2 - c*k**2 + c*k + 92630*c - k**2 - 5*k wrt c.\nAnswer: 240*c**3*k**2 + 761626440*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129 - -160. List the prime factors of l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 6*q + q**2)*(q**3 + 2*q**3 - 5*q**3).\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/451537 or 0?\nAnswer: -19\/451537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 5*h**2 + 3*h**2 + h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150 - -150. List the prime factors of (q - (-3)\/(-4)) + (-2342)\/(-8).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29\/122 - 55\/488. What is the nearest to 3\/2 in 1\/3, -5, t, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.94 and -5.\nAnswer: -9.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3566737049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.143 (b) -5 (c) -2\/7 (d) 4 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 + 81.1. Let t = k + 3.89934. Round t to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-17)\/153)\/(5\/(-538155)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-714)\/35)\/(-2)*(-17 + -3 + 10)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*n - 0*n - 6, 3*m - n = -14. Is 1527\/12 - (m - (-85)\/20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32690 is divided by 227.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u - 6. Let s(d) = 3*d - 7. Let k(p) = -6*s(p) + 7*v(p). Let a(m) = 52*m**2. Give a(k(h)).\nAnswer: 468*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 + 4*s**2 - s**2 - 3*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4033412 rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 200502.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47 and 15?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w - 17. Let t be h(8). Let v = 28 - t. What is the second derivative of 2*a**3 - a - 3*a**3 - v*a - 6*a**3 wrt a?\nAnswer: -42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524688?\nAnswer: 2, 3, 17, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22 + (1 + 0 - 2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 1 - 1)*(m + 4*m - 2*m) + 237*m**2 - 504*m**2 + 202*m**2 + (-3*m + 3*m - 3*m)*(m + 2*m - m) + 2*m**2 - 2 + 2.\nAnswer: -66*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 74 = 17*y. Let k = -32 + y. Suppose k*j - j = -4. Which is bigger: 3\/22 or j?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 92*o + 2110. Calculate a(42).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3017526 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (258\/265)\/(-6) + 1\/5. Let n = 61\/212 - i. Which is the smallest value? (a) 2\/5 (b) -1\/4 (c) n (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.49753 times -2.3?\nAnswer: -33.344319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 72 = 4*w, -4*w - 4*b + 57 + 39 = 0. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29105 is divided by 635.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -622 + 649. Solve -l*o + 31*o + 8 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/103809 and 32\/51.\nAnswer: 1764753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 + -296\/3. Let b = 22 - 33. Let t = b - -6. Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**6\/105 - 4*l. Factor b(n).\nAnswer: 2*n**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + -3 + -2531*(21\/7 - 16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4122314 divided by -1063?\nAnswer: 3878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -175*b**3*d**2 + 1308*b**3*d*u + 63*b**3*d - b**2*d + 2*b*u - 96*d**2*u - 15488*d*u + u wrt b?\nAnswer: -1050*d**2 + 7848*d*u + 378*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g + 24 + 23 + 24 + 66 - 137.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - ((-20)\/8 - -4)*2. Find m such that 20*m**s + 30*m**3 - 40*m**3 + 22*m**3 - 8*m = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 14 = -2*r, p = -4*p - 5*r + 25. Suppose 4*z = -p*z + 168. Calculate the remainder when 60 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 697136 divided by 1496.\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -331, -293, -255, -217, -179?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10 - 1020\/(-105)) + 20304\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**3\/3 - 9530*c**2 + 34053072*c + 102187808\/3 = 0.\nAnswer: -1, 7148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smms when four letters picked without replacement from {l: 4, j: 9, s: 3, m: 2}?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-8))\/(0 - (-9)\/(-6)). What is the closest to -2\/11 in -0.12, a, 4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q - 21. What is s(8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o = -13*o + 16. Is 6*1\/o + 1262 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -32208.\nAnswer: 64416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9203*-13536.8.\nAnswer: 124579170.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h - 153 = -3*a, 3809*h - 3811*h = 3*a - 107 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 264*w + 9357. Give j(-42).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (406\/3045)\/(6\/(-110)). What is the biggest value in 2, 3, -0.4, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26623\/317 <= -83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + a**3 - 5*a**3 + 0*a**3 in the form i*a**3 + d*a**2 + g + k*a and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 307, 619, 931?\nAnswer: 1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1331) - (-4 + sqrt(1331)*1)))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from {f: 2, j: 1, s: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*j + 306 = 0, 2*j - 191 = -q - 101. Calculate the remainder when 10799 is divided by q.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/2 + 774*p.\nAnswer: 3*p*(p + 516)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2, 2\/7, -148?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/9 (b) 46810 (c) -2\/11 (d) 0.2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26215.16 + -26215.3. Let r = -0.68 + 0.08. Which is bigger: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = w, 2*k - 2*w = w + 4. Suppose k*n - 54 = 6*n. Calculate the highest common divisor of n and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1\/4 (b) -0.3 (c) -0.1 (d) -0.14 (e) 14 (f) 234\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*n = 4*n - 1, n = 5*d + 11. Let k(r) be the second derivative of -11*r**3\/6 + 3*r**2 + r. List the prime factors of k(d).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*r = -14, -3*y + 0 = -5*r + 4. Find the third derivative of 14*u**3 + u**4 - 14*u**3 - 4*u**y wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-72))\/((-2)\/8)*9. Let q be (-2)\/3*-9*1. Suppose q*s - 66 = -h*n + s, 4*n + 2*s = 116. 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: -10010010 (base 2) to base 14\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3)*o*o**(-3))\/((o\/(o\/o**(-1\/5)))\/o**6))\/((o**(-2\/5)*o)\/o**(1\/3)*(o*o\/o**(-3))\/o**4) assuming o is positive.\nAnswer: o**(49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**4\/7 + 31107*t**3\/7 - 2506545*t**2\/7 + 9651231*t - 607496112\/7 = 0. Calculate t.\nAnswer: 27, 10288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58 in 0, -0.9, -0.02, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 179 + -86. Suppose -q = y + 3*q - v, -3*y + 279 = 3*q. What are the prime factors of y?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3341a6b (base 12) in base 9?\nAnswer: -20372212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 210122212211220 (base 3) in base 10?\nAnswer: 11512257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-63)\/(-6))\/7*-6. Let c = u + 9. Let x be 1*2*1\/(-2) + 3. Which is greater: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**3 - 3*o**3 + 3*o**2 - 5*o**2 - 22 + 24 + 22*o**4 + 7*o**3 as d*o**4 + y + w*o + t*o**2 + b*o**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40355334?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*a + 5 - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -11*z**2\/2 + 10*z + 4. Let p be (1 + -1 + 2)\/((-78)\/156). Is 18 a factor of s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24301324 - -4?\nAnswer: -24301320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*-9.\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7496 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**3 + 0*m**3 - 5*m**3 + (-2*m**2 + m**2 - m**2)*(3*m - 2*m + 0*m) + 5*m**3 - 7*m**3 + m + 4*m**3.\nAnswer: -m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 54*b + 5. Let k be d(-2). Which is smaller: k or -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*h + 3 + 0*h - 4*h + 3*h + 2*h + (-2 + 2 + h)*(5 - 1 - 2) - 3*h + 3*h - h - 783*h - 548 + 272 + 275.\nAnswer: -779*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by (-147)\/(-6) - (225\/10)\/15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 + 181 = -5*b. Suppose 5*a - 93 = b. Suppose -d - 3*j - 8 = 0, j - 48 = -4*d + 5*j. Solve -a = -d*w + 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.0028, -0.1.\nAnswer: -0.1, 0.0028, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -285301*d**3*s**2 - 2*d**3*s - 2*d**3 - 15*d**2*s**2 + 10*d*s - s - 85 wrt s.\nAnswer: -570602*d**3 - 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**6\/600 - 7*h**5\/100 + 13*h**4\/40 - 19*h**3\/30 + 273*h**2. Factor f(l).\nAnswer: (l - 19)*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Let n = 1 - v. Is n\/(-7) + 61\/7 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 11*r = -0*b, 2*b - 7*b - r = 3*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, o: 2, y: 4}. What is prob of sequence wooy?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37946833 a multiple of 1112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 2*j + 385. Suppose 9*f**3 - 8*f - 3*f**3 + 2*f**4 - 55 + j = 0. What is f?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1737503 at most as big as -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/11)\/v)\/v**(-5\/4)*(v\/v**(-1\/4))**(-4\/21))\/(v\/((v*v**(-10))\/v)*v\/(v\/(v\/(v\/v**(-6\/7)))))**16 assuming v is positive.\nAnswer: v**(-149857\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 3*y + 10. Let a be 2\/(2*(3 - 2)). Let q be a\/4 - (3 - 5)\/(-8). Let j be x(q). Solve 5*f - 5*n + 30 = -j, 0 = 2*f + 2*n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 20*w + 21. Calculate m(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + 2416 + -2411.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**2 - 5*p - 9. Calculate i(-4).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -7\/150*q**5 - 36*q + 0*q**3 + 1\/45*q**4 - 1\/25*q**6 + 0 + 0*q**2. Factor l(d).\nAnswer: -2*d**2*(d + 1)*(9*d - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1170 and 1170 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 64*v**7\/315 - 4*v**6\/5 + 11*v**5\/30 - v**4\/18 - 3559*v**2. Factor l(s).\nAnswer: 2*s*(s - 2)*(8*s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 9*w + 210 = -20*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/((s\/s**28*s)\/s)))\/(s*s**(2\/33)))\/((s\/s**(-21))\/(s**(2\/33)*s)) assuming s is positive.\nAnswer: s**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 32. Suppose -i*d = -25*d + 28. Suppose 0 = 3*j - 8*j + 50. Calculate the remainder when d is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4806115328?\nAnswer: 2, 7, 23, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15776*i**2 - 4539*i**2 + 3255*i**2.\nAnswer: 14492*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -21.73, 1\/3, 1\/4, -1, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 3*u - 171484, -58*q = -2*u - 60*q + 114356. Is 77 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-258)\/43 + (-304 - -3)*(-2 + 112\/49)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*u - 2488 = 1868. What is the highest common factor of 121 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244 (base 5) to base 9\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 4570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = c - 3*m - 1, 0 = -4*c - 4*m + 28. Suppose y - 5*y = -5*y. Let u be 1*(y - (c - 3)). Sort u, -4, -3.\nAnswer: -4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4 - 1 - x + 12. Let i be d(6). Suppose 0 = -0*m + m + i. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -156*w + 2511. Calculate t(23).\nAnswer: -1077","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, l: 1}. Give prob of picking 1 l and 1 f.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 9:05 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1093528?\nAnswer: 2, 136691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -412410 divided by -5.\nAnswer: 82482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 3370272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 10 - 34 = -2*n, -3*n + 4*h = -16. Solve -o - 5*g - 14 = -0*o, -2*g + n = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q + 117. Let x(p) = 7*p - 114. Calculate -2*h(t) - 3*x(t).\nAnswer: -3*t + 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 14, -3 in descending order.\nAnswer: 14, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16502? (a) 237 (b) -1\/2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -102001122020 (base 3) to base 7\nAnswer: -1564500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(280)\/((2*sqrt(32))\/sqrt(4)))\/(-3*sqrt(252)\/sqrt(4))*-6)**2.\nAnswer: 8*sqrt(5)\/3 + 149\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 3891*q**7\/7 - 2798*q**3\/3 - 3452. Find the third derivative of i(p) wrt p.\nAnswer: 466920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a**2 + 3*a**2 - 4*a - 12 + 4*a**2 + 2*a**2. Let s be t(5). Suppose 16*x - s*x = -76. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20483, 20485, 20487, 20489, 20491?\nAnswer: 20493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 19422 (c) 1.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**3 - 3*w**2 - w + 112. Let o(x) = -2*x**3 - 2*x**2 + 113. Let i(n) = 4*o(n) - 3*z(n). Does 29 divide i(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 6*c**2 + 2*c + 7. Let j be l(-6). Let t(d) = -d**2. Let u(z) = 2*z**2 + 2*z - 1. Let q(f) = j*t(f) + u(f). What is the units digit of q(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -677 + 641 + (9 - -1) - -36\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 844 a factor of 48202478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 2 - 2)*(0*d + d - 2*d)*(1 + 5 - 4) + 8*d + 16 - 16)*(-4 - 3 + 2) in the form i*d + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 13248*h**2 + 14599260*h - 58609200.\nAnswer: 3*(h - 4)*(h + 2210)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1344 - -1343.9. Which is the nearest to i? (a) 30 (b) 0.3 (c) -2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-7\/4)*c)\/(((c*c\/((c*c*c**(-2\/45)*c)\/c))\/c)\/c)*(c*c\/(c\/(c\/(c*c**(-1\/6))))*c)\/c**(2\/57) assuming c is positive.\nAnswer: c**(14833\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a + 63?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**7\/840 - w**6\/180 - w**5\/40 + 2*w**3\/3 - 4*w**2. Let k(d) be the first derivative of j(d). Calculate k(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/10)\/(-1) - (-740)\/25. Solve -3*d = -4*p + 7, -2*p - l = 4*d + d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 350727560 by -20.\nAnswer: -17536378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*h = -110 - 340 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t - t)*(2 + t - 2) + 3 - 3*t + 36*t**2 - 72*t**2 + 34*t**2.\nAnswer: -3*t**2 - 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d - 32. Let a be p(10). Suppose 5*s = -87 - a. Suppose 5*g - 76 = -196. Does s = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*l - 8. Let n = -6 - l. Let w(h) = 6*h**2 + h + 1. What is the remainder when w(n) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 2*u**2 + u - 2. Let q be o(-3). Let w be q\/14 - 46\/14 - 201. Let v = w + 304. Is 25 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 - 41 = 0. Let q = -23 - s. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 - 2*b**2 + 2*b. Let d = -117 - -119. Calculate the lowest common multiple of 27 and w(d).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -20) + (0 - -6) - (36 + -43)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221944 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24346 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -138200?\nAnswer: -1\/27640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*l - 20 = 0, -375*l + 371*l = 5*f - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000143643 rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35814, 35988, 36278, 36684?\n\"Answer: 58*f**2 + 35756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from sssyyysyyy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**4 + 3*i**3 - 1471*i**2 - 19*i - 2823090 wrt i.\nAnswer: 8*i**3 + 9*i**2 - 2942*i - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -45 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**3 + a**2 - a + 4. Give d(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, h: 1, d: 4, b: 6, j: 2, x: 3}. Give prob of picking 2 j, 1 b, and 1 d.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(11) - sqrt(22)\/sqrt(32)))**2 + (sqrt(110) + (sqrt(110) + -2*2*sqrt(110) - sqrt(110) - sqrt(110) - sqrt(110) - sqrt(110)))\/sqrt(10).\nAnswer: -6*sqrt(11) + 891\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*-9 - -303. Let t = 313 - v. Which is smaller: t or 48\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98 - 12 - (60 + -15).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09805 + 4.24195. What is the smallest value in -4, u, 3, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*(sqrt(28) + 3))**2.\nAnswer: 84*sqrt(7) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + 4. Let v = 5 - -4. Let w = v - -3. Calculate the remainder when i is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0*f**3 + 2\/315*f**7 - 1\/45*f**5 + 0*f**6 + 1\/36*f**4 + 0 + 0*f + 6*f**2 - 1\/504*f**8. Factor h(a).\nAnswer: -2*a*(a - 1)**3*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from tablw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -498.5.\nAnswer: 2492.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*c + 118*c - 138 - 32 = 0. Let -8\/13*m - 6\/13*m**3 - 16\/13*m**2 + 0 + 4\/13*m**4 + 2\/13*m**c = 0. What is m?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihfe when four letters picked without replacement from {f: 3, e: 2, i: 1, h: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15 - (2 + 7 - 1)\/2. Let i be (-11 + n)*(-4)\/((-24)\/(-3)). Factor -1\/2*o**5 + 0*o + 0*o**2 + i + 1\/3*o**3 - 5\/6*o**4.\nAnswer: -o**3*(o + 2)*(3*o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*k - 0*l - 2*l, 3*l + 2 = 2*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 315 and 49.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8646 and 2096.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6837, -7, -10.\nAnswer: -6837, -10, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/1894?\nAnswer: 1\/1894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513368?\nAnswer: 2, 64171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*x + 422*x = 6*z - 40, 4*z - 62*x - 56 = -66*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9.7*-0.16444\nAnswer: 1.595068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Let v be -1 + -2 + c + 1. Which is greater: v or -4\/17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 184 in -1.1, -18, 4, 2\/11, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 227*n**2*t**3 + 34*n**2*t - 20*n*t**4 + 167*t wrt t.\nAnswer: 1362*n**2*t - 240*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -1b9?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1140 - -549479\/482. Let g = 1808\/241 + f. Find the common denominator of g and -13\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*d = 50, -5*m - 2*d = 1 - 23. Solve -3 = -5*j + m*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220161 is divided by 73384?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 - i**3 + i**3)*(0 - 4 + 2)*(972*i + 1411*i - 2826*i).\nAnswer: -886*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1824277 or 1824279?\nAnswer: 1824277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 12 = x. Suppose 0 = j - 0*j - x. Suppose 4*r = 2*n - 18, 3*r + j = 4*n - 8. What is the third smallest value in 1\/5, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*p - 15. Let y(g) = 3*g**2 - 10*g - 8. Calculate the lowest common multiple of 10 and y(p).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 + 3*p**4 - 3*p**4 + (4*p + p - 3*p)*(4*p**4 - 3*p**4 + 0*p**4) + 5 + 7*p**5 - 5.\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*b - 42 = 116*b. Suppose b*t - 351 = 201. What is the remainder when t is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 5264 = -75*v. Calculate the least common multiple of 423 and v.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7123 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**3 - 491*d**2 + 335*d - 1463. Calculate l(163).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 t, and 1 l when three letters picked without replacement from {t: 5, l: 2, x: 11, u: 2}?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 478 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -4\/3, -19239, -5\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -1 + 4 + -9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/551 - 51247\/1102. What is the common denominator of s and -73\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 9*i - 8. Is f(4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-9)*o)**(2\/17) assuming o is positive.\nAnswer: o**(-14\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -12. Let u(v) = 168*v + 47. Calculate 4*c(a) + u(a).\nAnswer: 168*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -1818, -4971, -9610, -15729, -23322, -32383?\nAnswer: -42906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(sqrt(175) + 0)**2*-2 + (sqrt(175)*-2 - (sqrt(700) + 2))**2).\nAnswer: -4208 - 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*w + 6. Let t = w + 11. Suppose -2*v = -6*p + 3*p - 20, 0 = 2*p + v + 4. Put -1, t, p in decreasing order.\nAnswer: t, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from rrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 106260778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2382983876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603834 + 24*l - l - 10*l + 603834.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12794404 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -209 - -204. What is the smallest value in -1\/3, -1.6, k, 2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.34 + 36.86. Is a less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, s: 2, b: 2, z: 4, q: 1, c: 2}. What is prob of sequence xzc?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-357)\/(-15) + 5980\/1150\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (201\/(-134))\/((-1)\/15362 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - (-3 - 3))*28. Let k = 28 + p. Let l be k\/(-8)*(-4)\/6. Let m(u) = u**2 - 6*u - 9. Calculate m(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(2 + -4 - -2). Let g = q - -1. Let j = -10 + 17. What is the highest common factor of g and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -11*u - 3. Let m be f(8). Let z = m + 101. What is the first derivative of 3 + 10 - 9*l**4 + z - 16 wrt l?\nAnswer: -36*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**3 - h**2. Suppose 3*k - 4 = -2*u, 3 + 2 = -5*u. Suppose 6*f - 4 = k*f. Let z be y(f). Sort z, -1\/3, 1\/3 in descending order.\nAnswer: z, 1\/3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 23\/4 of a litre?\nAnswer: 5750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -16621 + 16669.412. Let j = r + -49.6. What is j rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 58168047 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.4, 0.64, -2\/7 in ascending order.\nAnswer: -0.4, -2\/7, 0, 0.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*v - 120, 5*i = -2*v + 6*v - 157. What are the prime factors of v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25921353?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (65\/39)\/(2\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b + 18*b = -24 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 2. Let z be p(-2). Let x(q) = -q**3 + q**2 - q. Let r be x(0). Let w = r + 2. Solve 3*m - w*m = z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/4)*n)**(-37)\/((n**(-3\/8)*n)\/n*n*n*n*n**(-2\/11)*n) assuming n is positive.\nAnswer: n**(-7629\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -17.2, 2\/3, -39, 7 in ascending order.\nAnswer: -39, -17.2, 2\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 233*j + 326 - 807 - 451. Let q(s) = 2*s + 0*s**2 - 3*s + 2*s**2 - 7. Does 5 divide q(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37230 + 20590. Let x = v - -16639.992083. Let m = x + 0.008. What is m rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -1\/5 (b) 1 (c) -0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*j - 60 - 38 - 28. Solve -r + j*r = -20, -r = 5*d + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46\/53 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 62671? (a) -7\/17 (b) 1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -134a8656 - a?\nAnswer: -134a8665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -10 + 0*w**2 + 5*w + 2 + w**2. Suppose -3*i - 5*a + 101 = 0, 2*a = 5*i - 80 - 47. Suppose 0 = 4*m + o + i, 0*m + 18 = -4*m + 2*o. Determine d(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n**2 + 4*n - 4*n + 2*n**2.\nAnswer: -19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-269 + 267)*2\/(-22)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1685109, 3370211, 5055325, 6740457, 8425613, 10110799, 11796021, 13481285?\nAnswer: 15166597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/1*(-69)\/6. Let t = -84 - h. What is the highest common divisor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/35)\/(-10)*-3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**6\/120 + j**5\/20 + j**4\/6 - 4*j**3\/3 + 2*j**2 - 7*j - 249. What is p(-4)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173048913 take away -560.51?\nAnswer: -173048352.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 11*a + 14. Let p(o) = -7*o - 9. Determine -8*p(d) - 5*v(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 10:48 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3435 = 480. Is h less than or equal to 783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 19*y + 17 - 10)*(2*y**2 - y**2 - 2*y**2).\nAnswer: 19*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-646))\/(2045\/(-4090)).\nAnswer: -2\/323","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 3*m - 2. What is the remainder when u(2) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3)\/s**(22\/7) assuming s is positive.\nAnswer: s**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -254 + -222?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1410\/7 + -7403\/42. Find the common denominator of i and 53\/(-27)*2\/6.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*q**3 - 3*q + 29*q**3 - q**2 + 31*q**3 - 15*q**3 + 2*q**4 - 1 in the form d*q**3 + s*q**2 + z*q + g*q**4 + w and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0\/(l**(-1)*l*l))\/(l**(2\/21)*l*l**(-1\/2)))\/((l**(-5\/3)*l**7)\/(l**(2\/7))**39) assuming l is positive.\nAnswer: l**(59\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c**3 + 2*c**3 + 6*c**3 + (-3*c + 0*c + 4*c)*(-3*c**2 + 4*c**2 + c**2) + 3*c**3 - 2*c**3 + c**3)*(10*c**2 + c**2 - 3*c**2).\nAnswer: 24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 547321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 10:10 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 86747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-3)\/6 + 0). Let p be (6 - (4 + -2))*l. What is the derivative of -15*y + p - 5 + 2*y**4 + 15*y wrt y?\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a5b27 + 6?\nAnswer: a5b2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 g, and 1 r when four letters picked without replacement from ykykkkykkkrgw.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7256 + 108793\/15. Calculate the common denominator of b and 52\/25.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 - 17*u - 12. Determine i(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (1 - 2) - (100 + -98).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 4:55 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 836640 equal to 836639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8295181.\nAnswer: 641, 12941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, -4, -6 in decreasing order.\nAnswer: 10, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*s + 4*b - 5*b, -2*b + 2 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1001 + 868. Which is the fourth biggest value? (a) q (b) 4 (c) 5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3981 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408 and 3277668?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 2)\/((-150)\/(-450)). Sort -2, 5, -1, n, -17 in decreasing order.\nAnswer: 5, -1, -2, n, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5\/132694, -1 in descending order.\nAnswer: 5\/132694, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2*sqrt(504))\/sqrt(12))\/(2*sqrt(96)).\nAnswer: -sqrt(7)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 1 + -1)*544\/(-68). Solve -5*j = 4*o - 13, 3*o + i = -1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - u = -11, 4*y - 16*u = -19*u + 9. Put -5, -2, y, 27 in ascending order.\nAnswer: -5, -2, y, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d. Let z be p(1). Let r(w) = -2*w**3 - 2*w**2 + 4*w - 3. Let u be r(2). Let y = 34 + u. Solve -5*f + 19 = 3*i, 3*i + z*f = -1 + y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 8. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - i + 0*i)*(6 - 3 - 4) + 225*i + 60*i + 450*i - i + 2*i + 0*i.\nAnswer: 737*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 32*p**2 + 12117*p**4 - 16*p**5 - 12117*p**4 - 8. Let b(c) = -c**5 - c**2 - 1. Let n(a) = -8*b(a) + s(a). What is the third derivative of n(h) wrt h?\nAnswer: -480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419*b + 800*b - 390*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -268, -405, -542, -679?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -473906076*g**3 + 35242594*g**2 + 6*g wrt g.\nAnswer: -2843436456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - q + 4*q + 155, -2*q + 47 = v. What is the remainder when 120 is divided by v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 13*a + 46. Give x(8).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - c**2 - 3*c + 3. Let h be ((-1)\/(-3))\/(2\/18). Determine z(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/20)\/(-3 + 50\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 470\/3 - 156. Factor 0 - a*j**2 + 0*j.\nAnswer: -2*j**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1410 + 2110?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, y: 3, h: 1, f: 1, b: 1, k: 2}. What is prob of sequence aa?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, -4, -5427, 3\/7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 186\nAnswer: -5\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 1. Determine r(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 335011067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9810 divided by 25?\nAnswer: -1962\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 117 + -122 - (2 + 2 - 0)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**5 - 5118*f**4 - 130*f**3 - 2588640*f?\nAnswer: -40*f**3 - 61416*f**2 - 780*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23074464359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 91.2827*-4\nAnswer: -365.1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538524663.\nAnswer: 3, 5987, 29983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/(-6))\/(4\/(-61)) and (-32)\/3 + 5\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 6*z**2 - 6*z + 30. Give h(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -3 + 1 - (-14 + 15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 634, 781, 928?\n\"Answer: 147*k + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5540 (base 8) in base 4?\nAnswer: -231200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482367003.\nAnswer: 3, 19, 8462579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*z - 19. Suppose 0 = -5*s + 3*g + z + 48, s + 5*g = 19. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73.43 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*d - 565742, -5*d + 0*c + 1414355 = -c. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - ((-9)\/((-18)\/4) - 4). Suppose h*w = u - 5, 4*w - 18 = -5*u + 7. Solve w*a - 2*a - 5*m = 0, 0 = a + m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 - 9*n + 6. Give h(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 380 divided by 76.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3671648 and 2864?\nAnswer: 3671648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, 29, 81, 175, 317, 513?\n\"Answer: h**3 + 12*h**2 - 27*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 277 - (130 + 42) - 7*-1.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 16. Let z be (-95 - -95)\/(6\/(2*-1)). Suppose 7*b - x*b + 235 = z. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = -139. List the prime factors of b.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**3 + 6*z**2 + 5*z + 49. Let x(g) = 4*g**3 + 6*g**2 + 6*g + 50. Let b(u) = -3*s(u) + 4*x(u). Let n be b(-6). Which is smaller: n or 2\/171?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m**2 + 120*m - 33. Give u(-14).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*f + 21 = -8, 2*n - 4*f = -18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -14 - (-171 + 120) - 17?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 3442.\nAnswer: 34420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 93*y**2 - 5*y - 4. Let f(w) = -139*w**2 + 8*w + 6. Calculate -5*f(n) - 8*q(n).\nAnswer: -49*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 4:47 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -493045 - 1058089 - 820466 - 4*v**2 + 6160*v.\nAnswer: -4*(v - 770)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1888114671 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 222, 284, 368, 480, 626, 812, 1044?\nAnswer: 1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91988534 to the nearest integer?\nAnswer: 9591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 4*z - 1. Let u be r(-2). Suppose -u*o + 2*c = 5, 3*c - 23 = -3*o - 2*c. Is 2 a factor of 4 + 0*o\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 927\/8 - 116. Let t = -6 - -12. Let d = t + -4. Sort 5, z, d.\nAnswer: z, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22940.79 millilitres to litres.\nAnswer: 22.94079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 + 16112\/190 - 2\/(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31302 (base 4) to base 11.\nAnswer: -732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 - 2 + 4 - j + 3*j. Let q(f) = 4*f**2 + 3*f + 3. Let o(h) = -11*h + 46. Let x be o(4). Determine x*q(k) - 3*b(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 3046 and -174158 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2. Suppose 6*w - 2*w = 0. Suppose 2*i - 17 - 19 = w. Let q(v) = i*v - 34*v + 16*v + 2*v**2. Determine l(q(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c + 181 + 19 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**4\/8 - 62*f**2 + 35*f. Let w(i) = -3858*i**2. Determine w(u(m)).\nAnswer: -34722*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 2*s - 68 = -5*t, -2*s - 33 = t. Let i be (-98)\/(-63)*30\/t. Which is greater: 6 or i?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213850488 to the nearest integer?\nAnswer: 14624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 3*o. Let n be q(-2). Suppose -n*i - i = -21. Solve -5*z - 17 = -3*p, 2*p - i = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/225*(-6)\/36*-18\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15922 - 5299 - 5302 - 7*s**3 - 5306.\nAnswer: -7*s**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 92\/4 - (9 - (-6 + 9)). Find the third derivative of -v*z**3 - 11*z**3 + 30*z**3 - 17*z**2 - 4 + 4 + 72*z**4 - 3*z wrt z.\nAnswer: 1728*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 243\/4 + -303\/5. Let j(u) be the third derivative of 0*u + g*u**5 - 3*u**2 + 5\/3*u**3 + 0*u**4 + 0. Find the first derivative of j(l) wrt l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7117\/3 - -2373. Which is the second smallest value? (a) -0.035 (b) t (c) 2 (d) -1\/7 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.00246 (b) 1\/4 (c) 0.2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {k: 3, h: 2, m: 3, y: 5}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119 - -160. What is the derivative of -80 + y**3 - c*y**4 - y**3 - 124*y**4 wrt y?\nAnswer: -660*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*h*k**2 + 449*h - 668*k**2 - 11*k - 1781 wrt k.\nAnswer: -32*h*k - 1336*k - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260 is divided by 352?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 111138, 222429, 333720?\n\"Answer: 111291*s - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iejiejjtwjeeijjsji. Give prob of picking 3 j.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(5*-3*sqrt(3)) + sqrt(720)\/sqrt(9)*-6.\nAnswer: -361*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g. Let w(a) = a + 2. Let n(k) = 2*k + 2. Let x(d) = -6*n(d) + 5*w(d). Let i(z) = 6*p(z) + 2*x(z). Differentiate i(b) with respect to b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 divided by -1?\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95725*d - 95728*d - 48*d**2 + 191453*d.\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**6\/120 + i**5\/12 + i**4\/6 + 2*i**3\/3 - 10*i**2 - 25. Let k(r) be the second derivative of g(r). What is k(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97740 and 1620?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.14 - -0.36. Let w = 4620 + -4628.7. Let p = y - w. What is p rounded to 0 dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 607613*w. Let d(x) = -221*x. Determine d(g(b)).\nAnswer: -134282473*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**4\/8 + 142*o**2. Suppose -10*u + 6*u + 64 = 0. Let w(c) = -u*c + 3*c + 3*c + 2*c. What is t(w(y))?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 8*f**2 + 5*f + 1. Is u(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 5) + 3 - (1 - -11) - 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -147785*v**3 - v**2 - v - 601512 wrt v?\nAnswer: -443355*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.1348 months in decades?\nAnswer: 1.54279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Suppose 2*m - 14 = -2*c, -n*m + m + 4*c + 2 = 0. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/7)*n)**15)**(-2\/55) assuming n is positive.\nAnswer: n**(-72\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {q: 18, l: 2}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.019, 2, -3\/7, 3 in increasing order.\nAnswer: -3\/7, -0.019, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1269 - 4.8731. Let k = 0.3 + -0.7. Let v = -3 - -3.3. Which is the biggest value? (a) v (b) m (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2358519143 to the nearest integer?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -272, -612, -1090, -1706, -2460, -3352?\nAnswer: -4382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.3 + -2.4. Let n = 263 - 297.6. Let r = -35 - n. What is the nearest to 2 in z, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2373374314 - 2373374329.00000003. Let c = o + 15. What is c rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124082 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*42\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 118*l**2 - 7*l - 608. Calculate p(0).\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 5, 37, 81, 137?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -3.3 (c) -4 (d) 1\/42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-31)*(38\/342)\/((-5)\/30*2).\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbuuubluumblluuum. Give prob of picking 1 m and 1 l.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1820453 + 1014458. Let c be -5 + (4*j)\/4. Round c to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144599, -144596, -144585, -144560, -144515, -144444, -144341?\nAnswer: -144200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 88\/12 + 4\/6. Suppose 0 = 2*r + 2*r - b. Let x(c) = 15*c**2 - 51*c**r + 27*c**2. Let i(n) = 2*n. What is i(x(g))?\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6689717491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -17*m - 13. Give c(-3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3794)\/(-10) - (-12 - (-558)\/45). Let h = g - 374. Solve -2*l - 11 + h = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623780413?\nAnswer: 623780413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(425) + 1 - sqrt(425)) + sqrt(425))**2.\nAnswer: -10*sqrt(17) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1. Let k(u) = -u - 2. Let w(l) = k(l) + 2*m(l). Let n(x) = -3 + 3 + 4*x - 2*x. Let p(d) = 2*d. Let c(r) = -3*n(r) + 4*p(r). Calculate w(c(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38924.59 minus -11971?\nAnswer: 50895.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -16*r - 12. Let s be y(-1). Let v = -7 + -9. Does 3 divide 0 - (3 + v + s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(288) + 4)**2.\nAnswer: 96*sqrt(2) + 584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2790*i - 18*i**2 + 1386*i - i**3 - 3 + 1399*i in the form h + d*i**2 + a*i + x*i**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7986831 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10306643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + (0 + sqrt(68) - sqrt(68))*2)**2*1.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 - 39. Solve -4*x + h = -4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 divided by -422?\nAnswer: -63\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 41, 58, 67, 68, 61?\n\"Answer: -4*c**2 + 29*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 0*w**2 - 13*w**3 - 3*w**3 + 5*w**3.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -260 + 1359. Suppose 8*u = 821 + s. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 3010. Let j(v) = -26*v + 9. What is u(j(x))?\nAnswer: 52*x - 3028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540*w + 697 - 1900 = 3117. What is the least common multiple of 860 and w?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 7*a - 8. Let o = -3 - -9. Let u be m(o). Let x = -78 - -703\/9. Sort -0.4, x, u in decreasing order.\nAnswer: x, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91581143\/911110860 - 5\/460157. Find the common denominator of 133\/220 and z.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*p**2 + 189*p**2 - 56*p**2 + 245*p**2 to the form x*p + k + z*p**2 and give z.\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -4. Let r = -48 + 45. Let g be (-3)\/(r - (h - -1)). Solve 0 = g*n + n - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -87*u**2\/5 - 4333476*u\/5 - 59772 = 0?\nAnswer: -49810, -2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 9. Let d be 4\/(-18)*i\/(-8). Let v be 120\/65 - (-2 - -4). Sort 1\/2, d, v.\nAnswer: v, d, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31.1 + 32. Let m = r - -0.1. Sort 2\/9, -1, m in increasing order.\nAnswer: -1, 2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79.104 + 79.154923. Round t to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 6*m**2 - 16*m. Let y be t(-8). Let x(g) be the third derivative of y*g + 0*g**3 - 3*g**2 + 0 - 1\/24*g**4 + 0*g**5 - 1\/40*g**6. Calculate x(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -893, -893, -895, -899, -905, -913?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25113 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 18 = s, -s = 4*k - 5*s - 12. Suppose 0*l = k*l. Put -5, -3, l in ascending order.\nAnswer: -5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -502363 + 1087176. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 971 + 2449. Let d = g - -1523. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 63 = x, 59*x + 5*i - 51 = 62*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78369*k**4 + 3*k**3 + 27*k**2 + 1073*k - 13177 wrt k.\nAnswer: 940428*k**2 + 18*k + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*p + 0 - 2*p**4 - 6*p**2 - 1 - 45*p as l*p**2 + i*p + h*p**3 + o + k*p**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42763, 42765, 42767, 42769, 42771?\n\"Answer: 2*g + 42761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -14.02. Let m = -5.98 - a. What is the nearest to m in -3\/13, 2, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20079 + 13?\nAnswer: -20066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hiiihi. What is prob of sequence iiii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26.4 - 144.4. Let y = 117.941 + b. What is y rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1688 is divided by 562.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.852*0.25.\nAnswer: 3.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 2*w**2 - 13*w - 5. Let l be o(-5). Let q be (1 + 399\/l)*-5. Calculate the greatest common factor of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 9:22 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*w = 6, 22 = 5*t + w + 7. Suppose -4*x + 48 = 4*z, -4*x = -0*x - t*z - 24. Find the common denominator of (1 + 115\/(-9))\/(x*1) and 35\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 191*n**2 + 14*n - 11. Let q(d) = 127*d**2 + 9*d - 7. Give 8*q(j) - 5*x(j).\nAnswer: 61*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -594*n + 124 = -590*n. Suppose 44327 = -12*y + n*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*b + 83 + 85 = 0. Suppose 2*x - 18 = 2*k, -32 = -3*x + 8*k - 4*k. Solve b*l - x + 0 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122\/201 + -4\/67. What is the closest to c in 2, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770*r + 771*r + 52 = 17*c, 2*r + 5*c = 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001698 rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2283655.\nAnswer: 5, 11, 41521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619302071?\nAnswer: 23, 26926177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181529, -358925, -536321, -713717, -891113, -1068509?\nAnswer: -1245905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - 0.9. Let p = 49 - 50. Let y = 113 + -1015\/9. What is the nearest to p in a, y, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (539\/126 - 4)\/(58\/174)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19, 23, 11, -17, -61, -121, -197?\n\"Answer: -8*y**2 + 28*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 8*f**2 + 3. Let n be o(-8). Let t(y) = y**2 - 2*y + 2. Let c be t(n). Solve c*d - 20 = v - 4*v, 0 = 4*v + 4*d - 24 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 12 = 0, -6*k - 16 = 5*t - 8*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = a - 3*q, -3*q - 12 = 3. Let h be (-883)\/(-3) - (77\/21)\/11. Let x = -289 + h. Solve -16 = -y - x*p, -a = -3*y - 0*y - 5*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10729541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 789 - 777. Let q(l) = -l + 117. What is the tens digit of q(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)\/(m\/((m\/m**(2\/29))\/m)) assuming m is positive.\nAnswer: m**(-147\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2069 and 0.39?\nAnswer: 806.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 4*r**2 + 4*r + 3. Let i be 2\/1 + 0\/3. Suppose i*p + 0*p + 4 = 0. Let l be f(p). Solve -l*q + 5 = -1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1773.14 and 4.\nAnswer: -7092.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 417 = -2*z - 3*k, -3*k = -z + 145. Let y = 208 - z. Calculate the lowest common multiple of 6 and ((y\/(-3))\/(-4) - -2) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 20, 3, 1, 6, -1, 483 in decreasing order.\nAnswer: 483, 20, 6, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -26*i + 83. Let u be x(2). Solve 3*d = -5*g - u, 0*g + 3*d = 5*g + 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(0 + 2)\/2. Let f(u) = 1. Let c(s) = -9*s**2 - 9*s + 1217 - 1214 + 2*s**2. Let d(x) = j*f(x) - c(x). Find the second derivative of d(b) wrt b.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -32\/300165 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5*d - 415, 3*s - 3*d - d + 256 = 0. Let u = 140 + s. Suppose 2*v - 4*v = -14. Calculate the greatest common factor of u and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -46 and 2.6217962.\nAnswer: -43.3782038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -3 (b) 3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32*b*v**3*z - 135*b*v**2 - 24*b*v*z + 7*v**3*z + 3*v**3 - 30*v - 1 wrt z.\nAnswer: -32*b*v**3 - 24*b*v + 7*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -2)*(3\/6)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (40\/(-2))\/5. Suppose -3*y - 9 = -3*a - y, -3*a = -y - v. Solve a*l - 3*h = -6, 3*l = -0*h - 3*h - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {h: 2, m: 1, z: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - 1) + 2 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p. Let i = 40 - -74. Let r(d) = 5*d**2 + 113*d - 227*d + i*d. Calculate r(o(a)).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*i + 326, 3*s + 65 + 70 = -2*i. Let v be ((-24)\/30)\/(3\/(690\/2)). Let d = i - v. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 241905 and 255?\nAnswer: 4112385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -101. Let m = p + -51. Which is the nearest to 0? (a) 0 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d - 29*d - 190 = 0. Let t = d + 53. Solve -f = 3*a + 20, 0*a = -a - 2*f - t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k + 54 - 54.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r**3 + 30*r**3 - 86*r**3 + 24*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*n**2*s**3 + 4*n**2*s**2 - 4*s**3 - 5*s wrt n?\nAnswer: -60*n*s**3 + 8*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1230 + -3100120?\nAnswer: -3032230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4626 = -39*a - 6021. Which is bigger: 1\/7 or a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*q + 18, 2*o = -2*o - q + 6. Let b(f) = -11*f - 65. What is the lowest common multiple of b(-9) and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0416 * -0.2\nAnswer: 0.00832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 3:30 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4359, -4711, -5759, -7851, -11335?\n\"Answer: -58*w**3 + 54*w - 4355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -322211?\nAnswer: -322211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 23*f + 5. What is m(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*f + 0 = 4, 3*f + 3 = -5*i. Suppose 5*m + i - 10 = 0. Let d(o) = 4*o**m + 2*o**2 + 3*o**2 + 2*o**2. Let r(s) = -s. Determine d(r(a)).\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 50950000 to the nearest 1000000.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.90786 rounded to one decimal place?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-344)\/(-180) - (-6)\/(-54))\/(168\/(-420))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/16? (a) -4 (b) -0.02 (c) -149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 83 = 3*z - 29, 42 = 2*q + 5*z. What is the remainder when q is divided by 4*((-6)\/(-3) + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0051 - -694.9949. Let s = w - 427.8. Round s to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 38 + 1)*(6*b - 7*b - 3 + 5)*(-3*b**2 - b**2 - 4*b**2 + (b + 1 - 1)*(0*b - 3*b - 4*b)) in the form x*b + j + y*b**3 + c*b**2 and give y.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*q = -13, 1 + 13 = -4*c - 5*q. Let k = 24 - 262\/11. Which is smaller: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w - 5*w + 82*w**2 - w.\nAnswer: 82*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 5. Let o(u) be the second derivative of u**4\/24 - u**3\/2 + u**2 - u. Let n(g) be the first derivative of o(g). Give n(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7 + 0 + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 0 - (4 + 8). Let o = v - -144. Suppose 2*c - 78 = -4*j, -4*c = -5*j + c + o. Calculate the smallest common multiple of 10 and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*(-16)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1297 divide 669451308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 789617, 1579078, 2368535, 3157988, 3947437, 4736882, 5526323?\n\"Answer: -2*o**2 + 789467*o + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 19 - 12 = -2*m, -22 = -2*j - 4*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (954893\/9455 + -101)*20\/2.\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 299318\/5896165 - 90\/1817. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -3*i**3 - 33*i**2\/2 - 18*i - 383. Suppose t(c) = 0. Calculate c.\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76103947?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + 3*(-3 + 1 + sqrt(612) + -2 + sqrt(612) + -4)*-5))**2.\nAnswer: -1116000*sqrt(17) + 14154400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/21 and -62\/19077.\nAnswer: 133539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 5*h + 13. Let x be l(-6). Let o = x - 5. Solve -4*b + 3*b + o = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u + 103. Let a be b(22). Let g be (-35)\/(0 - a) - (2 + -11). Solve q - g = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-317)\/58 + 1892\/344\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*y = 373*y - 125*y - 127*y + 85*a + 336, a - 4 = -4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 15. Let r = 4 - k. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12637?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/15 + 4133764*w**2\/15 + 427196813162*w\/3 - 3417627417680\/3.\nAnswer: 2*(w - 8)*(w + 1033445)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3440561.\nAnswer: 3440561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1465*w**4 - 5*w**3 + 3*w**2 - 56*w - 35. Let s(x) = -x**4 - x**3 + x**2 - 1. Let n(d) = -5*s(d) + u(d). What is the second derivative of n(m) wrt m?\nAnswer: 17640*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2397494.4830415 - 2397495. Let v = 0.517 + t. What is v rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.1289 centuries to months.\nAnswer: 98554.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 - -11. Suppose 5*i = 4*h - s, 2*h = -h + 3*i + 57. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (5 - 8 - -16) - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -260 (base 8) in base 6?\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -20. Suppose 0*c = -2*c + 82. Suppose 2*x = k + c. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-80)\/(-25) + 1\/(-5). Suppose -f*a + 23 = 5. Let g(n) = -n**3 + 5*n**2 + 9*n - 4. What are the prime factors of g(a)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/27)*f*f\/f**(-2\/9))\/(f**(-1)\/(f**1*f)) assuming f is positive.\nAnswer: f**(143\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6091 divided by -52201\nAnswer: -6091\/52201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-30*20\/(-240))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/133 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 49 - 157 = -4*j, -4*j = 2*r - 108. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**4\/12 - 4*h**3\/9 - 2*h**2\/3 + 15. Find m such that o(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26\/5 of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 2. Calculate the smallest common multiple of q(0) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9 = 0, -52*n + 57*n - 52 = -4*z. Solve -111*s + n = -113*s + 5*b, -5*s - 20 = 3*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 3:50 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -1788\nAnswer: -536.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + s + 5. Let m be h(0). Suppose 0 = m*o - 19 - 6. Let d(t) = -o*t + t + 3*t. Let w(c) = 2*c**2 - 7*c - 1. Give 6*d(u) - w(u).\nAnswer: -2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l + 82. Let k be o(25). What is the greatest common divisor of 329 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4 - 2*x - 2 + (1 + 2 - 5)*(-x - 3*x + 5*x) to r + q*x and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7 - 6*n**2 + 7*n + 29*n**2 + 46 + n**3. What is the units digit of z(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 20 = l. Let q = -12 + l. Let n = 30 + q. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 91)*(-54)\/(-63). Let n = a - -120. Calculate the remainder when n is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/884 and 93\/130.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1437)\/495 + 12\/20 and -40\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56340 is divided by 569.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 311638, 311605, 311550, 311473, 311374?\n\"Answer: -11*h**2 + 311649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-16) + 51*1\/(-120)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.02\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 i, and 1 l when three letters picked without replacement from iulhikuk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 8*p**2 + p + 16. Let v be a(8). Suppose v*l + 24 = 30*l. What is the remainder when 30 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-6)*(-459)\/306. What is the nearest to c in 20, 2\/5, -4, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24273.93385 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1789242 divided by -596414.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 + 16*i**2 + 7*i + 25. Calculate the remainder when 89 is divided by q(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttqrtqttqttt. Give prob of sequence tq.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {v: 1, w: 1, d: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 36 = 2*w. Factor -20*s**2 + 15*s - 39*s - 777 + 777 - w*s**3.\nAnswer: -4*s*(s + 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -12, 0.0836 in increasing order.\nAnswer: -12, -0.5, 0.0836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is e4 (base 16) in base 15?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p + 1 - 5 - 4*p**4 + 9*p**2 + 2*p**3 - 1. Let c(h) = -3*h**4 + 3*h**3 + 9*h**2 - 3*h - 6. Let f(o) = 5*c(o) - 6*n(o). Factor f(q).\nAnswer: 3*q*(q - 1)*(q + 1)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -13*j**6\/2 - 4*j**4 + 23*j - 6. What is the third derivative of n(c) wrt c?\nAnswer: -4680*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -23\/12*y**4 + 0 + 0*y**2 + 5\/3*y**3 - 52*y. What is the second derivative of n(k) wrt k?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2766, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. Let t be (-2)\/(y - 0) + 2. Suppose 0 = -4*h + 5*g + 5, 0 = -5*h + 4*g - t*g + 13. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (55\/((-2805)\/(-4161702)))\/((-4)\/(-14)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -10. Suppose 145 = 3*t - 2*i, 4*t - 37 = -z*i + 143. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107 + 90. Let k = -17.04 - l. Is k less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -10*w**2 - 6. Let o(x) = x**2 - 8 + 2 + 6. Calculate v(o(f)).\nAnswer: -10*f**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 6, 112, -4, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 5*l - 2, 66363 = p + 6*l + 66378 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*127.\nAnswer: -50.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**5 - 3080*f**4 + 633450*f**3 - 43706000*f**2 + 43075625*f.\nAnswer: 5*f*(f - 205)**3*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i - 10. Factor r**3 - 2*r**3 - 2*r**4 + 3*r**3 - 2*r**2 - i*r**5 + 4*r**2.\nAnswer: -2*r**2*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 6:11 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.85 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - d + 5, -3*d - d + 20 = 5*s. Let m = 3 + s. Differentiate -r**m + 1 + 2*r**3 + 2 wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490553659 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 774\/1419*(-44)\/56.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 246 + 186 = 0. Solve 16 - u = 6*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 5 + 6*i**2 + 0 + 2*i**4 - i**2 - i**2 as n*i**3 + p*i**2 + q + y*i + g*i**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 18*n**2 + 64*n + 795. Let w be c(-17). Let m(b) = -b**3 + 4*b**2 + 4. Let z(d) = d**3 - d**2 - 1. Give w*z(t) - m(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*p - 426 - 23 - 26*p + (-2*p + 5*p - 4*p)*(0 + 3 - 1).\nAnswer: -3*p - 449","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 2*p**2 - 13*p - 2. Let l = 30 + -20. What is the smallest common multiple of n(4) and l?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = k + 5. Let a be -4*(-3 + 2\/k). Suppose 5*y - p = 66, -4*y + 18 + 22 = -a*p. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 6*j**2 - 2*j - 15. What is x(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 273358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 91303365?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650979?\nAnswer: 3, 7, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - d - 7. Let i(f) = f**2 - f - 6. Let x be i(0). Let u be (6\/4)\/(x\/12). Let c be r(u). Sort -4, 7, c.\nAnswer: -4, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2. Let c be 2\/((-9)\/(-6) + -1). Let t(q) = c - 4 + 36*q**2 - 39*q**2. Calculate i(t(j)).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 38 = -4*a + 9*w, a - 4*w = -29 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let h(k) = 2659457880*k. Give h(f(s)).\nAnswer: -2659457880*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 7*d + 5*d. Let h(z) be the first derivative of d*z**2 + 0*z**4 - 2 - 3\/5*z**5 + 0*z + 4\/3*z**3. What is the third derivative of h(j) wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1871*w + 23822 - 92027 - 117024 for w.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*t - 25. Let m be (-4)\/5 - 532\/(-140). Suppose 15 = 2*z + z + m*b, -7 = -2*z - b. Solve -g + 1 = t*s - 5*g, z*g = -s - 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -215 - -216 - (2 + 6 + 4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 627*h - 4467. Calculate k(7).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b - 29?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2411 + 2?\nAnswer: 2413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*q + 4 = 347*q - 4*m, 0 = 4*q - 14*m + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 72*q + 451. What is the tens digit of g(68)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 85*u + 11161 = -80*u, -4*u - 3709 = -o. Suppose -566*i = -569*i + o. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 152, 308, 466, 626?\n\"Answer: t**2 + 153*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 11 = -3*k - 6, -2*k + 158 = 20*v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 6*p + 4. Let t be (-6)\/14 + (-390)\/70. Let r be z(t). Let n(v) = 4*v**2 + 2*v + 4. What is the tens digit of n(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 19. Let u be (-32)\/(-18) - 2\/g. Suppose 3 + 3 = u*i - 4*o, -i - 2*o = -15. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xawaaxxxhwwshhawxaw. What is prob of picking 2 a?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55434 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -41. Let f be k\/(-6)*3*274. Suppose 2*x - 4*n = 28, -5*x + 4*n + f = 43. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - 12. Let n = s - -19. Suppose -3*l = -2*l + 3. What is the nearest to -0.1 in l, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116f (base 16) to base 14\nAnswer: -18ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (4927\/(-91) + 17)\/((-4)\/1512)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 5. Let y be p(-4). Let d(h) be the second derivative of 5*h**3\/6 + h**2\/2 + 4*h. Give d(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 11. Let z be q(-16). Let x(j) = -8*j**3 - j - 1. Let l be x(-1). Let a = l + z. What is the remainder when a is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19751, 19743, 19725, 19691, 19635, 19551, 19433, 19275?\n\"Answer: -s**3 + s**2 - 4*s + 19755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69381 is divided by 1215.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 6*a**2 - 4*a + 7. Let c be v(-5). Suppose 5*h - c = 6*h. Let s(q) = -18*q + 1. What is the remainder when 107 is divided by s(h)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 - 50*k + 55. Calculate a(-26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, 1\/5, -2\/19 in descending order.\nAnswer: 1\/5, -2\/19, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/179 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 2*z + 5. Let f be o(7). Suppose b = -b + f. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**17*m)\/(m\/((m*m**(-2\/7)*m)\/m)*m) assuming m is positive.\nAnswer: m**(117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 117529, 235353, 353177?\n\"Answer: 117824*x - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/25*(-40)\/12. Let u(p) = p + 13. Let x be u(l). Let i be (-28)\/(-21) - 3\/x. Solve 5*q = -26 + i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -36?\nAnswer: -11\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 392832 and 33?\nAnswer: 392832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4594*m + 1560*m + 2394*m in the form y*m + j and give y.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128 - -134. Suppose -4*b - 446 = i, -i + b = -h*i - 2230. Do -445 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-2 + 1*sqrt(128) + ((sqrt(14)\/(-2*sqrt(7)) - sqrt(2)) + -4*-1*sqrt(2))**2)*5.\nAnswer: -50*sqrt(2) + 125\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1265938, 1265928, 1265918, 1265908, 1265898?\nAnswer: 1265888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 11*b - 3. What is a(-13)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + (-6112)\/1008)\/(140\/(-98)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9377363?\nAnswer: 2767, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -13. Suppose 2*i - 268 = -3*b - 0*i, 111 = b + m*i. Factor -b*s**3 - 3*s**5 + s**5 - 4*s**4 + 84*s**3.\nAnswer: -2*s**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 35*v + 604. Let w be p(-17). Solve 0 = -3*l + w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/837814 and 1\/6.\nAnswer: 2513442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 + -100. Is ((-133)\/o - 6) + 14554\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -10410012*q - 24. Let d be z(-2). Round d to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -64427*q. Let p(s) = -s**2. What is c(p(b))?\nAnswer: 64427*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -390 - -600. Let m = -42 + b. Is 56 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 11*u**4\/24 - 2*u**2 + 1. Let b(z) be the second derivative of q(z). Let m(k) = -k**2. Determine b(m(p)).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 90781750 to the nearest 10000.\nAnswer: 90780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 2\/15, 4, 0.92, -0.196 in descending order.\nAnswer: 4, 3, 0.92, 2\/15, 0, -0.196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022960.44 rounded to the nearest ten thousand?\nAnswer: 1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 74 + 246. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*5*3\/45\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138800269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 7*h + 745. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 3*x + 13, 2*f = x - 2*f - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ef0 + 35?\nAnswer: -1ebb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 430858939 - 430858939 - 10488*n to t*n + f and give t.\nAnswer: -10488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -9, 0.4, 3\/11 in decreasing order.\nAnswer: 3, 1, 0.4, 3\/11, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1 + 0*g + g**2 + 3 + 8*g. What is the units digit of x(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxct when four letters picked without replacement from xtcxtxxccp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -12 + 37 + (4 - 3 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61510, 123016, 184522, 246028, 307534?\nAnswer: 369040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*c**3 + 2*c**2 - 176*c - 20 - 15 - 19 + 176*c in the form k*c + h*c**2 + q + r*c**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j = 28*j + 51 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cijh when four letters picked without replacement from {j: 2, i: 3, m: 3, c: 2, h: 3}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34198\/95 + -360. Which is smaller: -6\/11 or j?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1022 + 4513 = 5*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36a200 + -10?\nAnswer: -36a210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*b**4 - 81338*b + 3412889?\nAnswer: -60*b**3 - 81338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 2 - (-45 + 36 + -2 + 32).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96791 - 0.23.\nAnswer: -96791.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 19.861515164 and -5.\nAnswer: 14.861515164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in years?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2. Let q(y) = -4*y**2 + 36000*y. Determine q(m(i)).\nAnswer: -36*i**4 - 108000*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l - 10*l**3 - 5*l)*(2 - 1 - 2) + 5 + 2*l**3 - 5 to the form n*l**2 + w*l + y*l**3 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 - 2*b**5 - 3*b**5 + (0*b**3 + 6*b**3 - b**3)*(-9*b**2 - 9*b**2 + 4*b**2).\nAnswer: -73*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 1008.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-8)\/7)*8\/(4080\/(-238))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 33*g**2 + g + 38. Let u be t(-33). Let j(s) = s**3 - 2*s**2 - 12*s - 11. Let f be j(u). Factor -1\/5*p**f + 2\/5*p**3 + 0*p + 0 - 1\/5*p**2.\nAnswer: -p**2*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122200 (base 4) to base 12.\nAnswer: 3428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b + 308. Suppose n + m + 55 = -3*n, 5*n + 4*m = -b. Let z = -1 - n. Calculate the remainder when z is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*o - 18, 5*q + 16 - 2 = o. Is (11365\/(-10) + -3)*q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199705 - 38904 = -89*i. What is the remainder when i is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -103267*z**3 - 47873.\nAnswer: -309801*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 3016426136.\nAnswer: 3016426090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -10*n**4 - 1132*n**3 - 17738*n**2\/5 - 15216*n\/5 - 792 = 0.\nAnswer: -110, -2, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 + 79.2. Is 3 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393986 is divided by 102?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19948215.\nAnswer: 3, 5, 7, 189983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, s: 9}. Give prob of sequence eses.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3003 + 548. Let u = z - 495. Put u, 4, -2, 21 in increasing order.\nAnswer: u, -2, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4 - 4 + 2 + 5. Let k(j) = 2*j + 2. Let w(s) = k(s) + 2*x(s). Let v(i) = 0 + 0 - 2*i. Give w(v(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2917 is divided by 241?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/1 + 8 + -11. Let h = i + 13. Suppose -4*g - v + 20 = v, -h = -v. Solve 5*u - g - 11 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1415 and 29715?\nAnswer: 29715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k**3 + 4*k**3 - 18 + k**2 + 2*k + 19)*(5 - 5 - 6) in the form b*k**3 + y*k + h + l*k**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -721*q**3 + 2175*q**3 - 722*q**3 - 714*q**3.\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -635156*v**3 - 1429644*v**2 wrt v.\nAnswer: -3810936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 15, x - 31 - 114 = -4*b. Suppose 3*u = 5*w + b, 0*w + 2*w - 2 = -2*u. Let d = 5 + w. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1306410?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 4. Let l(a) = 135*a + 55. Let k(g) = 5*g + 2. Let o(f) = x*l(f) + 55*k(f). Suppose 0 = 2*t + m - 1, -3*t + 7 = -0*t - 4*m. Calculate o(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 107512020?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4109, 8656, 13173, 17654, 22093?\n\"Answer: -v**3 - 9*v**2 + 4581*v - 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 213637733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -29*o**3 + 9*o**2 + 18*o - 80. Let t be g(10). What is t rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483623926 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6\/49 + 239\/2352. Calculate the common denominator of u and 20\/7.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -s - 124, 2*w + 4*s - 337 = -w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 11\/4, -31?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4695 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9108 divided by -1518?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 - 169436*y - 17942848810.\nAnswer: -2*(y + 211795)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, -8, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - g**2 + 72 + 694 to u*g + h*g**2 + f and give f.\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -83*p - 6*p**2 - p**3 + 77*p + 0*p**2 - 6. Suppose 2*k = -8, 4*r + 2*k + 24 = k. Give b(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g - 4*g + 10*g + 52*g**2 + g - 5*g - 40 wrt g?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(2541)*3)\/(sqrt(175)*-2))**2 - (sqrt(300) + (sqrt(300) + -5)*4 + 4)**2).\nAnswer: -6400*sqrt(3) + 772333\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5970\/323 + 24942025\/1348848. What is the common denominator of y and 63\/232?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.194 (b) 2\/17 (c) 11084\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 9:57 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (54\/(-12) + 3)*(-4)\/2. Suppose -2*m + 416 = -r*i, 4*m = -m - 5*i + 990. What are the prime factors of m?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 7 + 2 = 3*n, -5*n + 21 = y. Let f(o) = o**2 - 4*o + 2. Determine f(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3310451 (base 6) in base 12?\nAnswer: -7b427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z + 297 = -4343. Let c = 358 + z. What is the greatest common factor of c and 340?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9}. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13243.946949 - 96176.\nAnswer: -82932.053051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -48*((-3)\/6 + 0). Let s be 1\/y + (-1)\/(-3). Which is the second biggest value? (a) s (b) -1\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10733426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4559, 9239, 14009, 18869, 23819, 28859?\n\"Answer: 45*l**2 + 4545*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 266*s**2 + 238*s - 7745. Give k(-267).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2845.\nAnswer: 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(52) + (sqrt(312) - -2*sqrt(312))\/sqrt(6)))\/(-6*sqrt(16) + sqrt(64)*4).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1203*s**3 + 1273.\nAnswer: -3609*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1101001101101?\nAnswer: 1101001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 116*h**2. Let y(j) be the third derivative of -j**4\/12 + 159*j**2. Give y(r(g)).\nAnswer: -232*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -169\/45 + 32\/9. What is the smallest value in 1\/4, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 13*v - 46066 + 46044 = 0, 1 = 5*a - 2*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (27\/(-9) - 0)*-97*2. Let m = -392 + h. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -457*i**2 - 63 - 280*i**2 + 5*i - 560*i**2 - 5*i wrt i?\nAnswer: -2594*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415837445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 1, 0, 4, 13 in ascending order.\nAnswer: 0, 1, 4, 13, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/196604 and -89\/94028?\nAnswer: 2162644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*z + 2*d - 3, -7 = -3*z - 2*d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 315*j - 2133387 - 18*j**2 + 2133387 as d*j**2 + a*j + z and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*z - 3*z. Let d = z + 0. What is the remainder when 38 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162 times -0.003941\nAnswer: -0.638442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogorrrgrrorroorr. What is prob of picking 2 g and 1 o?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*c**2*g + 2247*c**2 - c*g - c + 219077*g wrt c?\nAnswer: -22*c*g + 4494*c - g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -2. Let h = o + 7. Let x = 3.1 + h. Sort -4\/5, x, -1\/3 in descending order.\nAnswer: x, -1\/3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232946759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15586 + 7787 - 4*o**3 + 7799 - 3*o**3 + 0*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**2 - 157887*k - 790835 wrt k?\nAnswer: -4*k - 157887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 381990102 to the power of 1\/3, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 1:33 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116014 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/(-210))\/((-28)\/(-10) + -2). Which is the smallest value? (a) -3 (b) n (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -31?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 223*b**2. Let k(h) = -11*h + 26. What is n(k(f))?\nAnswer: 26983*f**2 - 127556*f + 150748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from {q: 3, y: 3, r: 3, l: 5, e: 2}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34832299569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766 + 3*u + 2*u**2 - 732 - 3*u + 1726 - 643.\nAnswer: 2*u**2 - 415","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -956, -1, -2, 4, 10, -5 in descending order.\nAnswer: 10, 4, -1, -2, -5, -956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5, 7*w = 3*w - 4*i + 148. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -20*d**3 - 2*d**2 + 4*d + 7. Let t be j(-2). Let b = 246 + t. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1742\/239 or -6?\nAnswer: -1742\/239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -452*x**5\/5 + 8*x**3\/3 + 63*x**2\/2 - 447. What is the third derivative of d(o) wrt o?\nAnswer: -10848*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5655771 to the power of 1\/2, to the nearest integer?\nAnswer: 2378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2515 and 5.\nAnswer: 2515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009717074 to seven dps.\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5277 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 m when three letters picked without replacement from meemz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86\/15 + -16\/3. Which is the nearest to -0.2? (a) 0.2 (b) -2\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -365584*w**3 + 317209*w**2 - 3.\nAnswer: -2193504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 1. Let p(t) = -12*t + 10. Let i(n) = -n + 1. Let x(k) = -10*i(k) + p(k). Let u(j) = -a(j) - x(j). Is u(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n*n**7)\/n)*(n*n*n*n\/(n**32*n))\/n*n**(-24)*n**16 assuming n is positive.\nAnswer: n**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnxx. What is prob of sequence xn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/22*(-143)\/(-52)*616. Calculate the greatest common factor of d and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (802\/(-1203))\/(4\/(-90))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -23. Calculate the remainder when 76 is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tcjg when four letters picked without replacement from bttjtgjtjjtcbjjj.\nAnswer: 1\/1248","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/8 of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2 + 7738*r - 7740*r - 2. Let u(c) = -2*c**2 + 11*c + 3. Let p(a) = 3*a**2 - 10*a - 2. Let w(g) = 3*p(g) + 2*u(g). Give w(y(d)).\nAnswer: 20*d**2 + 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*h = -487 + 1353, 5*q - 4384 = -2*h. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*s = -3*s + 2089, 2*x - 2*s - 826 = 0. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*x + 612. Suppose 0 = 2*c + 2*c - 2*h - 52, 2*c - 18 = -3*h. Calculate the remainder when ((-1)\/2)\/(3\/x) is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3444400 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -8575*l**2 + 18416*l**2 + 37754*l**2 - l**2 + 5 - 5 + (l + 1 - 1)*(4*l - 2*l + 0*l) + 5*l**2 - 5*l**2 + l**2 as y + t*l + f*l**2 and give f.\nAnswer: 47597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 - -119. Solve -w = 2*w - 4*r + 3, -w - 5*r = j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 736 = -3*w, 3*w - 1462 = 2*l - w. Let u = l + 1333. What is the highest common factor of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 3:59 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11818 (b) -1\/2903 (c) -3\/2 (d) -4 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from llwwlcwlclcwl?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*u - 24 = 0, -u - 3 - 37 = -5*j. Calculate the least common multiple of j and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20883074 to the power of 1\/2, to the nearest integer?\nAnswer: 4570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17683 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - f**2 + 4*f + 60. Let p be j(0). Calculate the highest common divisor of 24 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - t = 14, -7*y + 2*t = -4*y + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 1:14 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3921*d + 280 = 3961*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 d when three letters picked without replacement from {k: 2, d: 17}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 3*v - 5. Let g be r(4). Let w(h) = h**2 + 5*h - 4. Let k be w(g). Suppose t + t = k. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3\/10 (b) 4 (c) -0.1 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/513 and 61\/135774.\nAnswer: 407322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001011 + 100100000011011?\nAnswer: 100100100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1)\/(1\/(-6)*3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -2\/19, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22772, -45545, -68318, -91091, -113864, -136637?\nAnswer: -159410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-2)\/(-18))\/(((-41)\/(-2132))\/(9\/(-12))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 0.08 (c) -0.02 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*k**3\/5 + 14152*k**2\/5 + 2326488*k\/5 + 3235968.\nAnswer: 2*(k + 318)**2*(11*k + 80)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*u**3 - 111*u**2 - 311*u + 4915088 wrt u.\nAnswer: 27*u**2 - 222*u - 311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/4 - 745*o\/4 + 32097\/2 = 0. Calculate o.\nAnswer: -823, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**(-6\/7)\/s)\/s*s*s)\/s)\/s*s**(1\/16)*s\/(s**(1\/23)*s)*(s**(5\/3)*s)\/s assuming s is positive.\nAnswer: s**(-1325\/7728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 2:37 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-434)\/186)\/((-196)\/36).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19556910 and 54918.\nAnswer: 6102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + 18 - ((1477 - 1507) + (4 - -1)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = 17*b. Suppose 5*z - t = -6*t + 15, 12 = 4*z + 2*t. Let x = z - -2. Solve b = x*l - 4*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2144 - 3310 - 1986 = 172*h + 2696 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -631 - -630.5. Let l(b) = -b - 40. Let j be l(-35). What is the second biggest value in -1, y, -0.15, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-16))\/(7 - 526\/16). Put -0.4, -7, x in descending order.\nAnswer: x, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 0*b**3 - b - 1\/54*b**4 + 1\/189*b**7 - 1\/45*b**6 + 1\/30*b**5 + 0 + 0*b**2. Suppose m(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 11:44 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1156, 0.2, 2, -0.5 in decreasing order.\nAnswer: 2, 0.2, -0.5, -1156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-28)\/35)\/(2*2\/(-20)). Suppose -u = -2*t - 2. Solve 3*o = 4*k - t - 6, -4*o + 4 = -2*k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**4 + 432*g**3 - 2775*g**2 - 14094*g + 16440 = 0?\nAnswer: -4, 1, 10, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -5*v**5\/12 + v**3\/3 + 29*v**2 - 2. What is the derivative of w(l) wrt l?\nAnswer: -50*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 654 - 657. Let j be 2\/(s + 248\/80). Suppose -2*t + 120 = 2*t. Calculate the greatest common factor of t and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/35, -28, 5, 0.6, 0.7, -2\/9 in ascending order.\nAnswer: -28, -2\/9, 2\/35, 0.6, 0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(891))*1)**2.\nAnswer: -18*sqrt(11) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**3 - m**2 - 4. Let r be k(3). Let g = r + -60. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150 divided by 3.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -683\/20 + 187\/5. Let r be (-1)\/(-2)*(8 + -4). Suppose -r*g = -6*g + 16. Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(4)\/sqrt(2) + 3 - sqrt(4)\/(-5*sqrt(2)))**2 + 3.\nAnswer: 36*sqrt(2)\/5 + 472\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 245 + -242. Suppose 0 = -a + s*l - 286047 + 731059, -1334984 = -3*a - 4*l. What is a rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 106*t + 49 = 111*t, 0 = 4*f + 3*t - 39 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*w - 685 = -198*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -923.5 to the nearest ten.\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcxmsdmmxxxmscmms. What is prob of picking 2 c and 2 s?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 131, 0, 2, -1 in ascending order.\nAnswer: -1, 0, 2, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x - 80*x - 2524 = -510 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 8, 2*i - 81 = s + 67. Suppose 5*l - 24 = i. What is the greatest common divisor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*o**3 + 780*o**2 - 39886*o + 364952 = 0. Calculate o.\nAnswer: -76, 49\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(98) + sqrt(98) + -1 + -5 + -5 + (3*sqrt(98) - sqrt(98)))**2.\nAnswer: -336*sqrt(2) + 1604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8965 is divided by 232?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 + (-120 - (-180 + 107))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -185 + 95.9. Round z to the nearest integer.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 - -0.9. Let o = i - -1.4. Let z = -0.059 + 0.359. Which is the third smallest value? (a) o (b) 3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 15 + 27 = 0. Let b be 54\/(-12)*4\/s. Suppose -b*o - 312 = -9*o. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 2\/(-4)*6. Let g be ((2 + -2)\/3)\/i. Let f(p) = -6 - 5*p + 4*p + 14 + 4. Determine f(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -332*d**4 + 2*d**3\/3 - 6819*d**2\/2 + 2798. What is the second derivative of z(j) wrt j?\nAnswer: -7968*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*n - 328 = 145*n. Calculate the remainder when n is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/18)*l**3\/l*l**(-9)*l\/l**0 assuming l is positive.\nAnswer: l**(-107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4453249*m**2 + 11686498*m?\nAnswer: 8906498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 39?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2442687*x**5 - 18*x**3 + 10*x - 1584431 wrt x?\nAnswer: -48853740*x**3 - 108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6690, -6678, -6666, -6654, -6642, -6630?\n\"Answer: 12*t - 6702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2. Calculate z(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*c - 25, 3*z = 6*c - 2*c + 23. Let k = 9 - z. Let u(f) = f**3 + 5*f**2 + 5*f - 1. Give u(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (163\/(8802\/162))\/((-1)\/17)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-7))\/((-1448)\/(-3801))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -24 - -4 - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 160*j - 60. Give z(0).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/520*((-2)\/(-2))\/(-88*17\/(-680))?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 3:30 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/8 + 1762635*p\/2 - 3525273\/2.\nAnswer: 3*(p - 2)*(p + 2350182)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/455988 and 25\/40922?\nAnswer: 3191916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 55072329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3*sqrt(3584))\/(sqrt(48)\/(sqrt(6) + sqrt(48)\/sqrt(8))))*-2.\nAnswer: 8 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebkjm. Give prob of sequence me.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 0*m + 5\/9*m**4 + 1\/3*m**2 - 1\/9*m**5 + 0 - 7\/9*m**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*t + 72, 0 = -5*g - t - 78 + 447. Suppose 3*o = 5*z - g, -4*o = -2*z - 2*o + 28. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1298.87 * -0.0666.\nAnswer: 86.504742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, -3\/4, 3, 22847 in descending order.\nAnswer: 22847, 4, 3, -0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28406933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*m + 1440 - 1808 = 0. Factor -32\/7 + 2\/7*d**m - 30\/7*d.\nAnswer: 2*(d - 16)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**3 + 2*y**2 - 3*y - 1. Let t(g) = 3*g**3 - 3*g - 2*g - g**2 - g + 1 + 8*g. Give -3*t(j) - 2*u(j).\nAnswer: -j**3 - j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -229\/184 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 7*p + 32. What is l(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*v - 1455 = -67 + 1492 for v.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 810391, 3\/7, -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 5 = -3*x, -5*x + 7*x - 25 = 5*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4373.7726 to 0 dps.\nAnswer: 4374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101110 - 100111110?\nAnswer: -11010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*o - 39 = 0, -3*r + r = -2*o - 78. What is the remainder when r is divided by (-3 - -1) + -3 - -25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t - 24. Let i be y(4). Solve 31*w - 35*w = i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**2 + 37*g - 533. Determine u(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1653\/(-3306))\/((-6)\/(-60))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*p**3 - p - 351 wrt p?\nAnswer: 93*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**3 + 4*q**3 + 14 - 32*q**2 + 30*q**2 to the form g*q + n*q**3 + m*q**2 + b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -18*u. Let t(y) = -47*y**2. Calculate t(p(g)).\nAnswer: -15228*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {f: 4, n: 4, d: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 961 + -971 + -11 + 1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*u = -0*u - 76, -2*h = 5*u - 139. Does 3 divide (1\/(-3))\/((-3)\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x - 1. Let l be p(-1). Let c be 3 - (l + 280\/45). Let y = 5 + -5. Is y not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -135329 - -4.\nAnswer: -135325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 7)*(7*p**4 - 26*p**4 - 1 - 6*p**4) in the form b*p**4 + j*p + g*p**2 + q + w*p**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/6637?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 955*m + 362*m + 844*m + 79808 = 305*m for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 0*j**2 + 1\/6*j**4 + 1\/3*j**3 - 1\/10*j**5 + 2*j - 1\/15*j**6 + 0. Factor s(f).\nAnswer: -2*f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-120)\/(-55) + (-4)\/22. Which is the smallest value? (a) 1.4 (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 44 = 6*b. Let k be (-4)\/1 - 1\/(1194\/(-240) + 5). Let z = b - k. What is the remainder when z is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -397, -863, 5 in descending order.\nAnswer: 5, -7, -397, -863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12217956.\nAnswer: 2, 3, 59, 17257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 242\/7*x**3 + 10\/7*x**4 - 554\/7*x - 222\/7*x**2 - 100\/7 = 0.\nAnswer: -25, -1, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -88898702?\nAnswer: 88898702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**4 - 309*f**3*w - 248*f**2*w + 3 wrt f.\nAnswer: -72*f - 1854*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mui when three letters picked without replacement from {a: 1, m: 1, i: 3, c: 7, u: 1}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 629\/102 + -3*1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + 3 + -2 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 437004995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**3)\/(p\/(p*p*p**(-5)\/p)*p))\/(p**6\/p**(2\/9)))**(-1\/25) assuming p is positive.\nAnswer: p**(124\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**2\/7 - 828*x\/7 + 583200\/7 = 0?\nAnswer: -600, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -32879 (base 16) in base 7?\nAnswer: -1521260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(98) - (sqrt(98) - (sqrt(98)*3 + sqrt(98))))**2)*3.\nAnswer: 4698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 - 21055*s**3 + 21602*s**3 + 33*s**2 - 3 + 3.\nAnswer: 547*s**3 + 33*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -1\/229, 226.37 in decreasing order.\nAnswer: 226.37, 19, -1\/229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 386*k - 5826 - 3052 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2009*s - 2245*s + 435*s.\nAnswer: -3819*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -1\/239, -89, 1\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1911*r**3 + 298*r**4 + 1911*r**3 + (-15 + 17 + 11)*(-r - 1 + 1)*(0*r**3 - 5*r**3 + 4*r**3) as k*r + x*r**2 + n + c*r**3 + o*r**4 and give o.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30775, 61549, 92323?\n\"Answer: 30774*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.092, -2\/4889, -0.3 in descending order.\nAnswer: -2\/4889, -0.092, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.94549 kilograms?\nAnswer: 945490000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/7 (b) -3\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -157.6 + 158.1. What is the nearest to 0.1 in -10, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -3*y + 1 - 10, 12 = -4*y + 4*s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c + 14?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 0 = -10. Let p be d*2\/(-15)*(-18 - -27). Let -6\/5*c + 2\/5*c**4 + 2\/5*c**2 - 4\/5 + p*c**3 = 0. Calculate c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -5\/2*b**2 + 27 - 3*b. Give n(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 4 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3\/2 - 6732*z**2 - 294030*z - 3226344 = 0 for z.\nAnswer: -4444, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 12 = -102*c + 99*c - 2*x, 6 = 2*x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**8)\/i**(-6\/7)*(i**(-2\/7)*i)**(-3\/7))\/((i**(-1\/5))**(-2\/21))**(2\/55) assuming i is positive.\nAnswer: i**(426497\/40425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 i when three letters picked without replacement from iiiiiiiigiiiiiiiiiii.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1596 = 264*o - 99*o - 276 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 15*o - 36. Determine t(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.4 + 7.4. Is 0.1 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 133.7\nAnswer: 13.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*w - 40 - 20 = 0, 0 = -w + 2. Find the second derivative of -18*g - 1 + 15*g**2 - 3*g + 2*g**4 + 2*g + r*g**2 wrt g.\nAnswer: 24*g**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 10*i = -12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032007741 rounded to five dps?\nAnswer: 0.03201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.28572 nanoseconds to seconds.\nAnswer: 0.00000006528572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*r = -10, -4*r - 11 + 3 = s. Suppose s*q = q + 3*q. Suppose 5*m + q*t - 31 = t, m + t = 5. Calculate the highest common divisor of m and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfff when four letters picked without replacement from ffqwffw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 551982 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9065, 9891, 41485, 85717?\n\"Answer: 6319*c**2 - c - 15383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-four fifths of a hour?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + n + 2 = -2*y, 3*n = -4*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 20*h**2 - 29 + 19 to the form z*h + o + s*h**2 and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + k = 176, -2*k + 123 = 3*m + k. What is the remainder when m is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**2*p**2 + 2*i**2*p + 5003*i**2 - 3*i + 10004*p**2 wrt i?\nAnswer: -2*p**2 + 4*p + 10006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1803085 is divided by 1803075?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 5 - 1, y = -2*o + 3. Let m be (-2)\/o - 32\/(-3). Let h be (-1)\/(-8) - ((-999)\/24)\/3. Solve 2*l - 2*j + h = 2*j, -m = -5*j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = b + 4, -15 = -4*b - q - 38. Let x = 0 - b. Let -6*t**2 + x*t**2 + 2*t**3 + 4*t**2 + 2*t = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by 4\nAnswer: 59\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 833941.3cm in nanometers?\nAnswer: 8339413000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hszshj. Give prob of picking 2 j and 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (207060\/136)\/145*(-2)\/(-14).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u + 2. Let j be g(-2). What is the greatest common factor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*o - 44 + 26*o - 12 - 36*o with respect to o.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 3*y**2 - 2*y + 7. Suppose 15*p - 3 = 14*p. Let a be m(p). Solve a = -3*i + 2*c, i + 3*c + 15 = -0*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1596 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*f + 206 + 445, f - b = 156. Suppose 0 = -2*s + 51 + f. Suppose 0 = -8*j + 5*j + s. What is the highest common factor of 14 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8837 is divided by 149?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -42*g - 1100. Is 4 a factor of y(-66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*p + 7*p + 3*g, -13*p = -4*g + 313. Suppose 4*c + s + 1 = -63, -48 = 4*c + 5*s. Do p and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4586?\nAnswer: 2, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*-5)\/(14\/(-14)). Let h = -3 + 7. Which is the closest to 1? (a) -1\/4 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.8 + -14.8. Put k, 0, -5, 1\/9 in decreasing order.\nAnswer: k, 1\/9, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(-4)\/(-3) - -1845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 285 and 40280.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/((-36)\/(-16)) - 28. Let z = l - -26. Suppose z*u - 3*w - 104 = 0, -3*w - 336 = -4*u - 128. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + h**2 - 2 + 4.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 34243.77 seconds?\nAnswer: 570.7295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11670*h**3 - 194*h**4 + 11670*h**3 + (2*h**2 + h - h)*(-3*h**2 + 5*h**2 - 3*h**2) - 9*h**4 - 7*h**4 + 12*h**4 - 2*h**3.\nAnswer: -200*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12519504091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = 16, 16 = -594*f + 593*f - 4*d + 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4529602800 to the power of 1\/2, to the nearest integer?\nAnswer: 67302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 3.864?\nAnswer: 0.7728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 672821.8 millimeters in meters?\nAnswer: 672.8218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77 or 9?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(1\/9))\/(d\/(d\/d**(1\/5))))**(-1\/9))**(-2\/9) assuming d is positive.\nAnswer: d**(62\/3645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 14. Let y be (u\/(-3))\/((-3)\/81). Is (-134)\/(-5) + y\/45 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2215 - 2283) + (-17 - -1)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1727.\nAnswer: 172.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 0. Suppose -m = 4, -3*w + 6*w = z*m + 56. Let j = 19 - 1. What is the smallest common multiple of j and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*g + 119 - 47. Sort g, -2, 3, 5 in ascending order.\nAnswer: g, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7602505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6450\/(-5375)*(-3075)\/(-90)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9c08 (base 16) to base 13\nAnswer: 15248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*r + 21*r + 9*r + 14*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 164*y - 184*y - 93*y to x + v*y and give v.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -32. Let y = -8 + 23. Suppose -y = 4*r - 9*r. Solve r*x + 3 = -n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 5*y**2 + y + 1. Let o = 154 + -144. What is the least common multiple of i(-3) and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50 + 1573*w**2 + 927 + 262 - 305 + 514 wrt w.\nAnswer: 3146*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - sqrt(132)*1)*-2 + 2*(sqrt(132) + sqrt(132)*-2))\/(3*sqrt(192)\/sqrt(4)*5).\nAnswer: -sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 19*o. Let u(b) = -5958*b**2 + 4*b. What is u(t(h))?\nAnswer: -2150838*h**2 + 76*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 91 = 68*y - 73*y, 3*y = -3*q + 60 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**2. Let m(q) = q**2 - 7*q - 4. Let d be m(8). Suppose 0 = d*i - 9*i + 295. Let j(k) = -59 + i + k**2. Determine x(j(g)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141*o + 44*o**2 + 141*o)*(3 - 1 + 0)*(-181 + 49 + 95 + 2*o).\nAnswer: 176*o**3 - 3256*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -292 - -421. Suppose -j = 5*h - 2*d, -5*h + d = -16 + 143. Let r = -6 - h. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8546136 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5950695637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (0 - 2)) + 3. Let s be (-12)\/8*(-8)\/(-6). Let t be (-3 - (2 + s))\/(72\/(-96)). Calculate the greatest common factor of k and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134 + -72. Let r = f + -59. Solve -3*x + 3 = 3*b, r*x + 1 = -2*b + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114404.2343983 minus -18?\nAnswer: -114386.2343983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 7, 0.04, 0.05?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 2, w: 2, l: 1}. What is prob of picking 1 j and 1 w?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*u**3 - 7*u**2 - 4*u**4 + 7*u**2 as c*u**2 + f + s*u**4 + j*u**3 + y*u and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (3 + (-14 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a224 (base 16) in base 13?\nAnswer: 15b7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 45. Let k = y + 31. Determine t so that 2*t**k - 11*t + 138 - 152 - t = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p - 14. Let i be d(6). Let f be ((-5)\/30)\/(i\/(-132)). Let g(w) = -2*w**3 + 9*w**2 - 5*w + 11. Let y be g(4). Is y less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/11, -6\/13, -96, 0.6, -1, 4?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 v when four letters picked without replacement from fwwwywwvfffwvwwwwwv?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 369631.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46)\/437)\/(-2)*(7\/((-42)\/12))\/3.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 13 = 4*g + 2, 3*c = 4*g + 9. Let q = 0.6 + -0.1. Sort 2, c, q.\nAnswer: c, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*a + 455, 3 = 5*a - 22. Calculate the remainder when t is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 100 + 2?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011110 + -11111?\nAnswer: -110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 - (4 + -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 266 - 269. Let d be 2 + (-6)\/(-2) + -6 + 6. Sort 4, d, -27, p.\nAnswer: -27, p, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 40. Let r = 3 - -10. What is the remainder when 69 is divided by f(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0*j + 0*j**5 + 0*j**4 - 1\/2*j**3 + 4*j**2 + 0 - 1\/40*j**6. What is the derivative of m(q) wrt q?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-8 - -4 - -6) + -1) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**3 + k**2 - k + 1. Determine l(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 705614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 29*c**4\/2 - c**3 - 12*c**2 - 12. Find the third derivative of w(b) wrt b.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 + 6*p + 3. Let y be c(-3). Let k be (y - 7) + -1*2. Suppose -k*j + 57 = -3*t + 9, 3*t + 26 = j. Solve n = 6*n - s + 17, -5*n = 2*s + j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 - 2000214406195\nAnswer: -2000214406143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12 + 0 = 0. Let j(n) = 4*n**2 - 7*n + 5. Calculate the smallest common multiple of q and j(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 m, and 1 q when three letters picked without replacement from qyqffmyffnfmfyq?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 - 57*z + 66. Let k be t(-27). Suppose 5*w + 4*v = 6*v + 381, -v + k = 2*w. Calculate the highest common divisor of 325 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4530 - 2830. Let a = j + 677139\/92. Calculate the common denominator of a and 79\/44.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, m: 3, e: 2, n: 5, h: 1}. Give prob of sequence ne.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -37 (b) 4 (c) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371382 is divided by 65?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 208*x**2 + 3950*x.\nAnswer: 2*x*(x + 25)*(x + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 649965.5ug to grams.\nAnswer: 0.6499655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 149 (base 10) to base 6\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/((1\/((-4)\/25))\/(4985\/(-7976))).\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i + 2. Let t be a(-8). Let u = 28 + t. What is the remainder when 33 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27565455377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 13*h - 1. Let m be r(-13). Let l = m + 1619. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25241 is divided by 250.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*n**2 - 2*d**2*n*o**2 + 36*d**2*n + 2*d**2 - d*n**2*o**2 + 3*n**2*o**3 + 2*n*o**3 wrt n?\nAnswer: -4*d**2 - 2*d*o**2 + 6*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 369, -873, -2117, -3363, -4611, -5861?\n\"Answer: -a**2 - 1239*a + 1609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -10. Suppose 1 = -4*i + m, 3 = 3*i + 2*m + 1. Let w = i - v. What is the remainder when 11 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2409997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165487 and 15557.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -22, -31?\n\"Answer: -9*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + c**2 + 2*c + 3. Give d(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8972998ml to litres.\nAnswer: 0.0008972998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-840)\/(-504)*(-27)\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1241*i + 33*i**2 - 61*i**2 - 3 + i**3 + 5 + 28*i**2 to the form j*i**3 + z + v*i**2 + d*i and give d.\nAnswer: -1241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2733061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - i + 7. Suppose -j = -a, -2*a - 2*a = 2*j. Give f(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 95*g**2 - 2005*g + 213. Give n(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 44 = -56. Let s(q) = 10*q + 2. Let v(i) = i**3 - i**2 - 6*i + 1. Let p be v(-2). Calculate the smallest common multiple of m and s(p).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 8*n - 2*n - n = -4, 0 = 24*a - 4*n + 96 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2674252 times 2?\nAnswer: 5348504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*d + 5 = 27, -14 = -z + 4*d. Which is the closest to -0.2? (a) z (b) 3\/5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 209.3 + -209. Which is the biggest value? (a) 2\/9 (b) n (c) -12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 16) in base 5?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209217507.\nAnswer: 3, 69739169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 18*g + 17. Let k be d(-18). Let o = 20 - k. Suppose 5*z = -o*u + 8, 0*z + 4*u = z - 20. Let y(j) = -j**2 + 5*j. What is y(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 123 + 24. Let r be 8\/(-5) + (-4)\/10. Let s = r - b. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**10\/1008 + g**6\/10 - 16*g**3 - 29. Let b(n) be the third derivative of d(n). Find the third derivative of b(x) wrt x.\nAnswer: 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 42.58 (b) 2 (c) -0.5 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and 8297.\nAnswer: -10786.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/(76\/1140)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5268572300 to the nearest integer?\nAnswer: 1740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*k*q**3 - 133*k*q - 38*q**4 - 2*q**3 + 11*q**2 - 57*q - 1 wrt q.\nAnswer: 36*k*q - 456*q**2 - 12*q + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -52. Let v = q + -12. Let o be 100000\/v*(-2)\/1. Round o to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/23874 and 77\/1810272.\nAnswer: 41636256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 9:19 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + (-9 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c. Let m(j) = -2*j + 12*j + 9*j**2 - 10*j. What is k(m(f))?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + l + 24. Let y = l + -7. Solve 1 + 3 = -2*z - 2*x, 0 = -y*z - 4*x - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**2 + 2*k**2 + 4*k**2 + (-3*k**2 - 3*k**2 + 5*k**2)*(2 - 4 + 1) - 477 + 477 - 77*k**2.\nAnswer: -74*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/5, 1, -1\/27, -886.\nAnswer: -886, -0.2, -1\/27, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -48. Let c be (-35)\/b*3\/15. What is the second biggest value in c, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -149 + 86. Let o = -62.99953 - m. Round o to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-304)*8\/(-7).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - (-24)\/(-4))*(1 - 2). Solve 9*s - 6*s = -a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15, -47, -115, -189, -269, -355, -447?\n\"Answer: -3*q**2 - 53*q + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/54*(-1400)\/70)\/(2\/54)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 7*a**2 + 6*a - 9. Is 7 a factor of i(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -10*d**2 + 1. Let w(t) = 9*t**2 - 2. Let l(x) = 5*a(x) + 6*w(x). Let u be (-1 + 2)\/((-5)\/(-5)). Let i(k) = 5 + u - 1 - 6. Determine 6*i(m) - l(m).\nAnswer: -4*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-3\/2)*z)\/(z**11*z))\/(z*z*(z\/(z**(-2\/5)\/z))\/z)**(-2\/19) assuming z is positive.\nAnswer: z**(-2117\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23709*c**4 - 32800*c?\nAnswer: -284508*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 9*n - 4. Let t be 120\/(-18) - (-2)\/(-6). What are the prime factors of i(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*c**5 - 12*c**5 - 38*c**5 - 58*c**5)*(-2 - 11 + 4).\nAnswer: 1197*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*f)*((-4*f**3 + 3*f**3 + 0*f**3)*(-2*f + 2*f + 2*f) + 0*f**4 - 3*f**4 - f**4).\nAnswer: -12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353624*l = -354256*l + 12008 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttmtmm. Give prob of sequence tt.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 9*v**2 - 11*v - 8. Let a be m(-10). Let s(x) be the second derivative of -x**3\/2 + x. Give s(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303592633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence joo when three letters picked without replacement from hhhhjootthohho?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - g + 5. Let x be s(0). Let m = 2 - x. Let n = 0.07 - 2.07. Which is the biggest value? (a) -0.2 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 11*t**2 - 49*t + 102. Let h be j(14). Solve 14*o - 15*o + 2*f = 8, 0 = h*o - f - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -411*t + 496*t - 41 - 13. What are the prime factors of r(5)?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -4 - (0 - 4) - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2192659 + 17507221\/8. Let g = 4249 + x. Calculate the common denominator of g and 69\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 - (0 - (2 + -1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 3*h + 7*h)*(6 - 1 - 7)*(47 + 321*h - 47).\nAnswer: -1284*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577597 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 44. Let o = 195 + -154. Calculate the remainder when o is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*w + 5397 - 24157 = 206*w + 1975*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 65*z - 347. Give c(4).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 690445 divided by -19727\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226570, 1812492, 6117144, 14499892, 28320102, 48937140, 77710372?\nAnswer: 115999164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.2, -1, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -7 - (-3 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g**3 + 1091*g**2*v - 76*v + 31 wrt g.\nAnswer: 9*g**2 + 2182*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, t: 10}. What is prob of picking 2 j?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -18*f**2 - 155*f + 54. What is b(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.68 - -4. Let d = z - 0.134. Let x = 0.026 - d. Is x greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5552127950?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3926, -14134.\nAnswer: -14134, -3926, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 - 1382*a**2\/3 - 9748*a\/3 - 5584.\nAnswer: 2*(a - 698)*(a + 3)*(a + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -6. Let c(a) = a**3 + 3*a**2 - 1. Let k be c(q). What is the units digit of (-6)\/k*(-2)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3*u - 17*l**2*u + 2*l*u - 71*l wrt l?\nAnswer: 6*l*u - 34*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3836*l + 9470 - 141635 = 2095 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*x**3 + 89*x**2 - 50*x**3 - 48*x**3.\nAnswer: 2*x**3 + 89*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-10)*2*200\/(-160).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 134*d = 132*d + 17, 3*b = 2*d - 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71.84 - 0.74. Let c = -70.298 + h. What is c rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24969907*g**4 - 15*g - 401847 wrt g.\nAnswer: 299638884*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*s = -81*s + 7129 + 28372 for s.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i + 29*i - 10 = 0. What is the tens digit of (-5258)\/(-55) + (-2)\/i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1564696 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 8:01 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1658722 is divided by 1543?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 190\/(66 + (-108 - -32)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 + 6*k**2 - 7*k + 17. Let l(c) = -c**2 + c - 1. Determine -6*l(g) - x(g).\nAnswer: -2*g**3 + g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j*o**3*u - 34*j*o**3 + 3*j*o**2 - 6*j*o*u + 18*j + o**3 wrt o.\nAnswer: -30*j*u - 204*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 26*n - 29. Let l(z) = -9*z + 10. Let g(o) = 6*f(o) + 17*l(o). Let t be g(-5). Let m = t + 35. Calculate the greatest common factor of m and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = f - 0. Let c = f - -6. Suppose -c = -3*q + 10, 2*y + 4*q = 50. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 236*o + 151*o - 97*o to the form l*o + m and give l.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-13)\/(v**(-4)*v))**(1\/5) assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, -0.1, 2\/293, -59?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 6*q + 15. Let z = -19710\/7 - -2816. Which is the closest to z? (a) -3 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*w - 0*w - 32, 2*w = -5*c + 28. Let t be (-2 - -6)*(-26)\/w. Let q be t\/(-24) - (-2)\/(-6). What is the second biggest value in q, 1\/6, -2\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.14 - -2.86. Let z = -456 - -456.4. Which is the nearest to -1\/2? (a) z (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57885.56l in millilitres?\nAnswer: 57885560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 55 = 3*g. Let b be ((-525)\/g + 6)*(-7694 - 0). Let t = 22229 + b. What is t rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*x**2 - 177*x + 24*x**2 - 235*x - 57*x**2 as z*x + o*x**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -37*h**3 - 7*h**2 - 3*h - 242. Let n(d) = 110*d**3 + 19*d**2 + 8*d + 726. Let b(t) = -3*n(t) - 8*y(t). Differentiate b(j) wrt j.\nAnswer: -102*j**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -12*k**2 + 12*k**3 + 4*k + 4 - 4*k**4 - 4 + 0*k**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**4\/12 - r**3\/6 - 7*r**2\/2 + r + 32. Determine d(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801 (base 15) in base 6?\nAnswer: 35544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d + 7?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16 - 17)\/((-14)\/6571740*6\/(-200)). What is t rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i - 4*g + 19 = -17*i, -i - g = -6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p. Let t(g) = -926*g**2 + 1. Determine t(u(f)).\nAnswer: -3704*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2235*k**2 + 6*k + 5503*k**2 - 3254*k**2.\nAnswer: 14*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102.1 + -102. Sort 4, x, 3\/7 in descending order.\nAnswer: 4, 3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.131 + 60.869. Let g = f - 60.75. Let i = 0.05 - g. Sort 5, -2\/9, i.\nAnswer: -2\/9, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*t - 69 = -5*y, -2*y = 3*t - 42. What is the remainder when 618 is divided by y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 484*y**2 - 2. Let a(m) = 323*m**2 - 2. What is 8*a(u) - 5*h(u)?\nAnswer: 164*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p. Let g(s) = 3*s. Let m(f) = -g(f) - 5*h(f). Let r(w) = 170*w - 42 - 38*w - 83*w. Let t(j) = 5*j - 4. Let d(c) = -2*r(c) + 21*t(c). Give d(m(q)).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 47. What is the second smallest value in 0.3, j, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 6, 0.4, -0.04, 1, -0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 12 + -3 - (27 - (-4 - -21)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -847 - -2131. Let k = b + -377. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(396)*4 - (-5 + sqrt(396)*2 + 0))**2.\nAnswer: -600*sqrt(11) + 39625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from {u: 3, r: 2, z: 1, f: 4, l: 6, a: 4}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35385 and 13132.\nAnswer: 66382260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 509 - 51 = j, -j - 340 = -3*r. Let u = r + -42. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 44*u**2 - 8*u + 62. Let z be x(24). Round z to the nearest 100.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2268*j**4 + 67336*j**3 - 44668*j**2 - 19936*j - 464 = 0.\nAnswer: -2\/7, -2\/81, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 110020112001 (base 3) to base 4\nAnswer: 322310311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 2 + 13 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*m - 112*m + 1104 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -190*c**3 + 5*c**2 - 1. Let k(t) = 63*t**3 - 2*t**2. Give -2*h(d) - 7*k(d).\nAnswer: -61*d**3 + 4*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (2 - (-5)\/(-2)). Let l = -0.3 - 9.7. Let o = l - -9.8. Which is the closest to o? (a) 2\/5 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + 13\/(-5))\/(1\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.66 and -10.\nAnswer: -8.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22, -2, -8?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11147264081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + sqrt(288) + 0 + 1 + (2*sqrt(12)*-5)\/sqrt(6).\nAnswer: -6 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + -1 + -8 + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*o - 0. Let w(m) = -m**2 + 4*m - 2. Let r be (7\/((-98)\/(-42)))\/(59 + -62). Let c(j) = j**2 - j + 1. Give o*c(y) + r*w(y).\nAnswer: -y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(104) - (sqrt(104) + (sqrt(104)*-3 - sqrt(104) - sqrt(104)))) + sqrt(104) - sqrt(104)))\/sqrt(8).\nAnswer: 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5 = 5*b - 18, -5*p + 3*b - 7 = 0. Let m = p + 10. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 11*z**2 - z - 6. Let j be v(-11). Suppose -j*l + 3 - 8 = -5*b, 5*b - 9 = 3*l. Let r = 7 - 3. Calculate the remainder when r is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 365709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197175 is divided by 49269?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -37*c - 405. Let h be l(-11). Suppose -19*r + 14 = -12*r. Solve -4*t = -r*k - k - 25, -1 = 3*k + h*t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 212618 + -37099. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*m**2 + 18*m**3 + 2*m**2 - 5 + m**4 - 9*m**3 + 3 + 20*m**3 as f*m**3 + c*m**4 + x + z*m**2 + t*m and give f.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -609*d - 1538. Calculate w(-2).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (680\/(-48))\/(-17)*(64\/(-12))\/4.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 46, 130, 258, 436, 670, 966?\nAnswer: 1330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -7780683?\nAnswer: 38903415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -147, 0.\nAnswer: -147, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 + 10 = 0, -2*j + 2 = -2*g. Calculate the remainder when (46\/(-10))\/(j\/15) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 35, 121, 273, 497, 799, 1185, 1661, 2233?\n\"Answer: i**3 + 27*i**2 - 2*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 7784870?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 16*o + 5. What is the smallest common multiple of 68 and y(-17)?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*((sqrt(57)\/(sqrt(3) + 1*sqrt(3)*-4) - (3*2*sqrt(190) + sqrt(190))\/sqrt(10)) + 5)**2*2.\nAnswer: -880*sqrt(19) + 37684\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1990 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 10:40 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-66) + (-31)\/(-11). Let q(s) = 5*s - 1. Determine q(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 8 = 4. Let s(r) = -584*r + 1178*r - 581*r + 9. Let k(p) = -6*p - 4. Let v(t) = l*s(t) - 9*k(t). Let d(c) = -10*c**2. Determine d(v(m)).\nAnswer: -40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 68080 divided by 370?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 7:46 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56009888?\nAnswer: 2, 11, 159119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-1\/2)\/f))**(14\/3) assuming f is positive.\nAnswer: f**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 3*v - 322 = 0. Let a = 77 + -39. Let b = a + v. Is b equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 5, -s + 10 = 2*s - g. Suppose -5*d + 49 = s*r, 3*r - 2 = -8. Suppose 0 = 8*a - d*a + 4083. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*c + o + 25 = 0, 0 = -c + 4*o - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 255231 - 3124?\nAnswer: 252104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 15*k + 18. Let a be u(14). Let r(j) = -7*j**2 + 5*j - 7. Let z(w) = -6*w**2 + 4*w - 6. Give a*r(h) - 5*z(h).\nAnswer: 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -394022, -788167, -1182612, -1577507, -1973002, -2369247?\n\"Answer: -25*j**3 - 393970*j - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*v - 2*v**3 + 1 - 74*v - 76*v + 227*v to the form q*v**2 + k*v**3 + l*v + x and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 703 + -697. Put 0.5, y, -2 in increasing order.\nAnswer: -2, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882 + 704 - 781 = -161*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 8. Suppose -t*p + 11 = -2*p. What is the least common multiple of 1\/(-5) - 108\/(-15) and p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -2\/66919 (b) -1\/2 (c) 4 (d) 3 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + r = -779, -2*c + 305 + 209 = 2*r. Does 40 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*n**2 - 266099*n + 266099*n.\nAnswer: -106*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 23. Let s = r + 11. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 168171, 168141, 168111, 168081, 168051, 168021?\n\"Answer: -30*i + 168201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 212*n**2 + 12304*n + 821. What is z(-58)?\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88075)\/(-2665) + -33 + (-203)\/(-41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -343 - -696. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/4, 0.2, 16\/45 in descending order.\nAnswer: 1, 16\/45, 1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4327*f - 10023. Give z(2).\nAnswer: -1369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 58. Let v = j - -45. Suppose 0 = -16*b + v*b + 116. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.226 (b) 244 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0729 in 225, -0.5, 0.103?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmvvvm. What is prob of sequence mvmv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -135*(-1)\/420*8\/2\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 27*i - 224. Let g = -543 - -560. Is a(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1 + (0 - 1 + 0)*(-1 - 8 - 6))*(2*l**4 - 1 + 1) as t*l**4 + j*l + d*l**3 + w + y*l**2 and give t.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -726*h**2. Let b(j) = -2*j + 1167. Determine b(d(r)).\nAnswer: 1452*r**2 + 1167","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is ((-718)\/(-8) - 3)\/(5\/20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {c: 7, q: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.0731?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + 19. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 4 + (-30 - -42) + -4 + 3\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1320 + 0?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 14172.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/12))\/k**(-1) assuming k is positive.\nAnswer: k**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 20 + 76 = 0. Let k(c) = -c**2 - 2*c + 13. Let s be k(-4). Find the second derivative of -5*y + 18*y**s - 4*y**4 - q*y**5 + 4*y**4 wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 = 4*f, -m = -0*m + f - 11. What is the least common multiple of 9 and m\/(-18)*222\/(-3 - 0)?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -123, -398, -853, -1494, -2327?\n\"Answer: -y**3 - 84*y**2 - 16*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2)*((-3)\/988 + 0). Let k = 107665\/17784 - g. Calculate the common denominator of (2\/(-4))\/(18\/194) and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x + 379. Let w(q) = -8*q - 373. Calculate -5*s(p) - 6*w(p).\nAnswer: 3*p + 343","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-4845))\/((-1269)\/7191)?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3772*i**3*s**2 + 583*i**3 - 18*i**2*s**2 + 262*i + 2 wrt i.\nAnswer: -22632*s**2 + 3498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2527 is divided by 49?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 955*v**4 - 344760*v**3 + 1705525*v**2 - 1368840*v + 7120 = 0. Calculate v.\nAnswer: 1\/191, 1, 4, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46967 + 46918.022. Let z = d + -0.022. Put 1, z, -0.2 in decreasing order.\nAnswer: 1, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563*g + 2653*g**2 + 563*g - 11803*g**2 - 1283*g**2.\nAnswer: -10433*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 - (-26 - (8 - 27)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/7)\/a)\/a)\/a)\/a**24 assuming a is positive.\nAnswer: a**(-188\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2872 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 5 (c) 0.3 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -224041552 (base 6) to base 7\nAnswer: -46642262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -31869\/157 not equal to -202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (120\/(-10) - (-22 - -12)) + 4. Solve -i*h - 5*d - 20 = 0, 0 = -32*h + 29*h - 3*d - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 + 5. Let x = -45 + -25. Let g = h - x. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10802 by 559.\nAnswer: -10802\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6. Suppose -2 = q, 6*q - 3*q = -4*s + 34. What is the remainder when s is divided by 4 + 1 + -1 + l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from naantnpiiiip?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s + 30. Let u be x(-9). Suppose -t - r = -u, -5*r = t - 0*r - 11. What is the second biggest value in -2\/11, 2, 4, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/((-15)\/6)*-1. Let q = 9 - b. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than or equal to -6609125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2 = -5*x + 5, -4*c = -x + 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y. Let a(p) be the second derivative of p**5\/20 + p**4\/4 - p**3\/6 + p**2 - 21*p. Let m be a(-3). Let u(r) = 21 - m*r - 48 + 27. Calculate u(z(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 11*l**2 + 4*l - 3. Let k be h(1). Calculate the remainder when 7 is divided by (4\/8)\/(2\/k).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 12, 10, 10, 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h**3 + 71*h**3 - 27*h**3 - 23*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/5))**(-16\/9)*(k*k*k**(4\/3)*k*k)\/(k\/k**0))**(1\/46))**(-6\/7) assuming k is positive.\nAnswer: k**(-211\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 65841 (base 15) to base 11\nAnswer: 20031a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 k, and 2 e when four letters picked without replacement from oeqqoekooqyeooekq?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**0)**(1\/21)*(r\/r**(-6)*r)\/(r*r**16\/r))**20 assuming r is positive.\nAnswer: r**(-3340\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 37. Let c = d + -69. Find the common denominator of ((4 - 8) + 2)\/(88\/c) and -31\/112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161507.\nAnswer: 161507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10371 - 19880 + 11556)*(-2*h**3 + 2*h**3 + h**3) to the form n*h**2 + y*h**3 + s + i*h and give y.\nAnswer: 2047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssu when three letters picked without replacement from ssuassuususas?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 89 = -3*q. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.019 - -59.019. Let d = a - 59.0000386. What is d rounded to six dps?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3912\/59 + -42973\/649. Let a = 6 - 6.01. What is the smallest value in g, 1.9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -6, -1\/87, 3, 4\/3, 0.3 in decreasing order.\nAnswer: 4, 3, 4\/3, 0.3, -1\/87, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -827*y**5\/10 + 3*y**3\/2 + 21*y**2 + 686*y. Find the second derivative of j(o) wrt o.\nAnswer: -9924*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*1 + -2)*4)**2.\nAnswer: -320*sqrt(11) + 4464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(567))**2*4.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 146033 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 3*n + 18, 5*b - b + 4 = 2*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + 94 + -255 + 112.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351 + 12 = -765*b - 707 - 1162 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**2 - 1\/10*s**5 + 0*s**3 + 0*s + 0 + 0*s**4. Let p(n) = 2*n. Give p(o(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12\/2353 - 2028250\/7059. Let o(f) = -f**3 - 19*f**2 + 55*f + 54. Let r be o(-22). Let h = r + w. Is h equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -14*b - 54. Calculate the smallest common multiple of y(-11) and 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -22. Let c = 36 + q. What is the nearest to c in -1, 3, -0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*((-2)\/(-9))\/(-1). Let o = -24091 - -578093\/24. Let u = o - -25\/8. What is the nearest to u in w, 2, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.7584993 rounded to two dps?\nAnswer: -140.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 4*k - 4. Let r be o(-4). Let u(q) = -13*q + 68. Let p(a) = 7*a - 16. Let b be p(3). Let d be u(b). Sort d, 4, r.\nAnswer: r, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b - b)*(-93 + 39 - 129).\nAnswer: 732*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 930 + 937 - k)*(4*k - 4*k**2 - 4*k) + k**3 + 0 + 0.\nAnswer: -19*k**3 - 28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 9 = -3*s. Calculate the common denominator of (249\/(-30))\/((s - 0)*-1) and 2 + -1 + (-3)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -0.683 (b) -0.1 (c) 0.1 (d) -2 (e) -1\/5 (f) 16\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34680*n - 34685*n - 5*a - 30 = 0, 18*a = -5*n - 56 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02097345649 from -0.07696.\nAnswer: -0.09793345649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 4:00 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (16 - 75 - (27 + (-5 - 4) + -6))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103465411 to the nearest integer?\nAnswer: 10172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -9 + i**2 - 4 + 2*i + 5 - 10. Let u be a(0). Let k = 21 + u. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -82 - 0 - (3 + 1). Let h = -47 - z. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211 - 192. Let h(q) = -q**3 - q**2 - q. Let f be h(-1). What is the remainder when s is divided by (f + -2)\/((-10)\/100)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Let c be 78\/(-507) - (-1497)\/13. Let a = 121 - c. What is the smallest common multiple of a and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1432 and -0.7.\nAnswer: -1432.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -2*l + 5, -2*j - 8 = -3*l + 4*l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + h - 3*h + (-3 + 2 + 5)*(-3 + 3 - 3*h).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68.04 - -69. Let y = 1.04 + j. Which is the nearest to 0.4? (a) 0.06 (b) y (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/916 and -46*(-10 - 415\/(-40)).\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*i - 77 + 21 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87 - 22 + 95)*(-2 + 3 + 1)*(1 - 2*n + 10 - 4).\nAnswer: -640*n + 2240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13\/12 - 4\/3. Which is the second smallest value? (a) -0.3 (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10372 is divided by 10268?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2810628920 to the power of 1\/2, to the nearest integer?\nAnswer: 53015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 5*a + 25, -5*n + 15 + 0 = -3*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114350 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65229 divided by 1.\nAnswer: 65229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19194 = 1533*j - 4879 - 3521 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2 + 274*a + 813 = 0.\nAnswer: -271, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j + 3*j + 6*j - 3*j + 1. Suppose -m + 15 = 4*m. Suppose 4*h + m = h. Give p(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 10111011010100?\nAnswer: -10111011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**2 - 5*m - 8. Let p(x) = -4*x**2 + 4*x + 7. What is 5*c(l) + 6*p(l)?\nAnswer: l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hodmmmddooodd. Give prob of picking 2 d.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 - 24771*q**3 - 74334*q**2 - 49560*q.\nAnswer: 3*q*(q - 8260)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*r + 32620 = 6535 for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -26 + (6 + -1 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 719 and 0.675.\nAnswer: 485.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 71 - 7 = 0. Let d(k) = k**3 + 10*k**2 - 4*k - 13. Let j be d(-9). What is the highest common divisor of j and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-14)*x*x\/(x**1*x)*x)\/((x\/(x\/(x**4*x)))\/(x*x**7)) assuming x is positive.\nAnswer: x**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11619, -44398, -99029, -175512, -273847?\n\"Answer: -10926*q**2 - q - 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5922\/426384*(-8)\/(-3)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -23*o**2 - 96*o - 9. Let z(t) = -12*t**2 - 50*t - 5. Determine -6*w(c) + 11*z(c).\nAnswer: 6*c**2 + 26*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -485626*b**2 + 340116?\nAnswer: -971252*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019269 to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14.526, -5, 3 in increasing order.\nAnswer: -5, 3, 14.526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oho?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 11\/6*y**3 - 1\/6*y**4 + 0 + 0*y + 13*y**2. Let k be l(4). Let j(z) = -z**2 - 3*z + 3. Give j(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + j = -10, 2*g - 2*j = 9 + 1. Calculate the lowest common multiple of (-70)\/(6 - g)*(-2 - 0) and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130530455?\nAnswer: 5, 11, 2373281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Suppose 12 = -r*b + 6*b. Suppose -s + 4*j - b = 0, -j + 6 = -2*s + 4*j. Let i(t) = t**2 + 2*t - 1. Calculate i(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 585 and 4923.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 7 = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3861\/4046 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 11703*b. Let d(i) = -96*i - 2. Give o(d(j)).\nAnswer: -1123488*j - 23406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 0.72. Let g = r - -3.98. Which is the smallest value? (a) -3 (b) -0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -1. Suppose 0 = q*s - 9 + 3. Suppose -s*r = -r - 48. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8 = v, -5*g + 5*v = -2*g - 14. Let q(i) = -i**3 + 3*i**2 + 3. Let h(p) = -2*p**3 + 4*p**2 + 4. Give g*h(t) - 4*q(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22521754 a multiple of 520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264913 - 1573*g - 264913.\nAnswer: -1573*g","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 0*o + 278. What are the prime factors of o\/4 + 9\/(-18)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 7 + 27 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 2:09 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -684 (base 13) to base 15\nAnswer: -4ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26677*h**2*u**3 - 16*h**2*u - 3*h**2 + 7*h*u**3 - h + 100*u**2 + 617*u wrt u?\nAnswer: -160062*h**2*u + 42*h*u + 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4994*h + 1424 = 4905*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**12*b)\/b))**(1\/65)*b**(-1\/7)*(b\/(b\/(b*b*b**(-26))))\/b assuming b is positive.\nAnswer: b**(-11517\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -0.1 (c) 246 (d) -1 (e) 3 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1306 + -1304. Let x(a) = 2*a**3 + a**2 - a - 1. Determine x(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -19*k - 270. List the prime factors of (-276)\/(-1 + 3)*(k + 14).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10573013 is divided by 26301?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 29 - (2 + -4). Let u = -25 + n. Let f be 2\/3 - (-4)\/3. Which is greater: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001303 rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from {d: 1, v: 1, n: 3, m: 3, r: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.8, -0.4, 2 in descending order.\nAnswer: 3.8, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + h = -7, -3*u - 6*h = -4*h. Let q be u - 100\/45 - 32\/18. Let w = -2 + -2. Which is the closest to -1? (a) q (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/178571 and -17\/1964281?\nAnswer: 1964281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 210327205 to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -2*l**3\/3 - 225500*l**2 - 27*l. Let k be s(0). What is k rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 112230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -56*x - 80. Let q be n(-1). Sort 1\/66, 2\/3, q in decreasing order.\nAnswer: 2\/3, 1\/66, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 91 = -6*r + 21, 18*r - 17*r = -14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0012*-3.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2205943.\nAnswer: 29, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(65*f**4 + 32*f**4 + 13*f**4).\nAnswer: -220*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 16*r**2 - 9*r - 6. Let f = -9 - 6. Let d be z(f). Calculate the common denominator of (2\/6)\/(d\/(-2556)) and -93\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 5*u + 3. Let r be m(4). Suppose -3*z + 0 = -r. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45399775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**3 + 5*h. Suppose -6*m + 37 + 5 = 0. Let w(r) = 7 - m*r**3 - 7 - 3*r - 6*r. What is -5*d(o) - 3*w(o)?\nAnswer: o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 24174.57 millennia?\nAnswer: 2417457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from bbbbbbbyh.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3404937985, -3404937982, -3404937969, -3404937940, -3404937889, -3404937810, -3404937697, -3404937544?\n\"Answer: f**3 - f**2 - f - 3404937984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 10:39 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iid when three letters picked without replacement from {i: 3, d: 7, o: 4}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)\/(v*v\/(v*v\/v**1)*v)*(v**(-1)*v)**(4\/39)*(((v**(-2)\/v)\/v)\/(v*v**9*v))**35 assuming v is positive.\nAnswer: v**(-533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 593*t**2 + 3531*t + 5283.\nAnswer: (t + 3)**2*(t + 587)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2082, -8296, -18666, -33192, -51874, -74712?\n\"Answer: -2078*t**2 + 20*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22255 by -1662.\nAnswer: 22255\/1662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 2.216042.\nAnswer: -4.432084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005279 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, y: 9}. Give prob of sequence yb.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - (-13813)\/266) + -19.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i. Let o be w(1). Suppose 2*y - o = 3. What is the units digit of ((-22)\/3)\/((-2)\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l - 220*l - 429 = 841. Put -1, l, 5, 2, -276 in decreasing order.\nAnswer: 5, 2, -1, l, -276","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -577*s**3 - 504*s**2 - 8*s. Let i(d) = 576*d**3 + 501*d**2 + 10*d. Let q(l) = -4*i(l) - 5*z(l). Find the third derivative of q(x) wrt x.\nAnswer: 3486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 7*a - 8. Suppose -3*s + 5*j = -2 + 4, -5*s = 3*j - 42. Let f be w(s). Suppose -4*c = y - 45, c = 4*y - 25 - f. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l + 9*l + 191619930*l**3.\nAnswer: 191619930*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -4, -76, -7 in decreasing order.\nAnswer: 54, -4, -7, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8234*z + 111*z**3 + 44*z**3 - 8233*z.\nAnswer: 155*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 - 2*h - 3. Let r be f(-1). Solve -m + r = 2*c, 20 + 7 = -3*m + 5*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -39. Suppose s*t - 51 = p, -30 = -3*t + p + 9. Suppose -5*n + t = -g - 3, -n = -g + 1. Solve 8*v - 3*v - g = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*(sqrt(32) + -1)*-2 - (sqrt(96)\/sqrt(3) + -4 - (sqrt(1568) + 2*sqrt(1568))))**2.\nAnswer: 2048*sqrt(2) + 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12012 - -2100121202?\nAnswer: 2100210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 2*o**2 - 3*o - 3348. Let x(w) = -w**3 + 30*w**2 + 63*w + 32. Let h be x(32). Let g be m(h). What is g rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 21620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*s + 4 + 47 = 180*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**2\/7 + 18*i - 128\/7 = 0.\nAnswer: -64, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1944.406 + -1936. Let c = -8.3 + n. Round c to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + y**2 + y - 1. Let m(z) = 10*z**3 - 4*z**2 - 4*z + 4. Determine 4*a(x) + m(x).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, y: 3}. What is prob of picking 2 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-8))**(-1)*(z*z**(1\/3)\/z)\/((z*z**(-1\/24)\/z)\/z))**(-8) assuming z is positive.\nAnswer: z**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2181 (b) -0.03 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 48*k**3 - 23*k + 114*k**3 + 8*k**2 - 162*k**4 + 15*k = 0. What is k?\nAnswer: -2\/9, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -9743*v - 39030. Determine y(-4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2, 3, 5 in increasing order.\nAnswer: 1\/3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1973761?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3*(-45)\/10. Let f = -0.4 - 1.6. Let y = -1.6 - f. What is the biggest value in y, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.061 and -1824?\nAnswer: 111.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, -46, -1\/6, 2\/11, -0.25 in descending order.\nAnswer: 120, 2\/11, -1\/6, -0.25, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/17681 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 - 174 = 0. Let k = g - -88. Which is bigger: 0.27 or k?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*p + 3*p. Suppose 2*a = -3*a + 20. Solve a*h = -0 - p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6088320 and 112140.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*g**4*r + 1090615*g*r - 1387133*r wrt g.\nAnswer: -16*g**3*r + 1090615*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*v - 25, 2*v = 5*i + 4*v - 25. Which is the nearest to -0.1? (a) 0.1 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83380 divided by -22?\nAnswer: -3790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4844205341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*c - 264*c - 1645 = 0. Calculate the highest common divisor of c and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -131, 1\/4, -6\/5, -1\/4, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 23173659 * -0.2\nAnswer: -4634731.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.31, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-29 - -5 - -4)) + -1 + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-2)\/4)\/(2583\/(-84)). Let y(d) = 2*d**2 - 1. Let w be y(2). Let q = w + -6. Which is smaller: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -883*d*r**5 + 1381*d*r**3 - 15*d*r + 27448*r**2 wrt r?\nAnswer: -52980*d*r**2 + 8286*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 5. Let s be n(0). Suppose -4*b - s = -25. Suppose 6*c - 21*c + 30 = 0. Solve -3*l + c*f + 2*f - 32 = 0, -f = -b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1103.9379 + -6253.8522.\nAnswer: -5149.9143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -5*m**5\/12 - 119*m**2. Let a(v) = 36*v. Determine a(j(w)).\nAnswer: -900*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*w = -23*w + 13141 - 1015. Solve -23*t - 9 = w for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 120783456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -488, -1302, 8, 2, -3 in ascending order.\nAnswer: -1302, -488, -3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*l + l. Let r be 8\/12 + 4\/l. Suppose 2*v = -4*g + 80, r = -3*g + 3*v + v + 60. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -6, -3, 81 in decreasing order.\nAnswer: 81, 6, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 5*q - 10. Let s be p(-6). Let h(i) = i + 28. Let m be h(s). What is the tens digit of (-8)\/m*6 + 40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/25)\/(2\/15). Let p be (2 - 21)\/(1\/(-5)). Is 16 a factor of 3\/w - p\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*f + 76*f - 47*f = -264 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12)*-3*108\/162.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.005801l to millilitres.\nAnswer: 5.801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5446.99988561 - -5447. Round u to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1300 - -19.\nAnswer: -1281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9092 - 9864.6. What is w rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 5*l - 85, -3*l + 18 = f - 5*l. Let h(u) = -u + 29. What is the smallest common multiple of f and h(17)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j + 1929*j**2 - j**3 + 1939*j**2 - 3868*j**2 + 16*j + 2*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1 - s + 7*s + 0. Suppose 5*r - 13 = -3. Suppose 3*z - r*z - 1 = 0. Give v(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-13 + 5)\/(-40)). Suppose -2*b - v*b + 2240 = 0. Calculate the highest common divisor of 20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 6 - 4) + 19 + -25 + 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 15 (c) 0.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/45 - (-5)\/25.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2 + 28 - 3*h**2 - 9 - 11 + 8*h. Let j be 128*(-2)\/(-12)*-3*1. Let r = j - -58. What is b(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-5))\/5*(-15)\/(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 2*d - d - 4, -3*d = 4*n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**4\/2 + p**3\/3 - 3*p**2\/2 - 2*p - 12788. Determine k(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*l + 30 = -298*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 22. What is the closest to g in -1, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14\/23 - 1652\/69. Let c = f + 295\/12. Factor 1\/4*d**2 + c + 3\/2*d.\nAnswer: (d + 1)*(d + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/7, 0.02115, 1\/4?\nAnswer: 0.02115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1288 (base 12) to base 3\nAnswer: 2220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303152916 divided by -562.\nAnswer: -539418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1575)\/(-270) + 3\/18. Let f(d) = -d + 1. Let p(v) = 4*v - 7. Let n(u) = -2*f(u) - p(u). What is n(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**3 - 7*s**2 + 4*s - 6. Suppose k + 22 = 4*i, k - 34 = -4*i - 4*k. Let a(d) = 4*d**3 - 6*d**2 + 3*d - 5. Determine i*l(n) - 7*a(n).\nAnswer: 2*n**3 + 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 1824.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 2*z - 1. Calculate the remainder when (-144)\/20*(-10)\/4 is divided by d(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 + -21818.\nAnswer: -21818.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2120434 (base 5) to base 6\nAnswer: 433252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w. Let a be (-11)\/((-396)\/476) + 6\/(-27). Let q(y) = 14*y. What is a*n(o) - 6*q(o)?\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s. Suppose 13*z - 16 = 5*z. Let j(t) = -65*t**2 + 140*t**z - 77*t**2 + 6*t. Calculate w(j(i)).\nAnswer: -2*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 + -0.03. Let j = -7 + 12. Which is the nearest to -0.1? (a) j (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1927 - 1923. Put l, 1, 2\/33 in ascending order.\nAnswer: 2\/33, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (290 - 662 - 452)*(3 + 0 - 2)*(5 - 3 + 0)*(-n**2 - n + n + n) to the form x*n + h*n**2 + f and give x.\nAnswer: -1648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 548030.9 millennia in months?\nAnswer: 6576370800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-5*16\/40*2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50299424 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -4, 1.03?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 516 and 521136092.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 34187487.35+43\nAnswer: 34187530.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/6*(-36092)\/21 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -191930, -192587, -193244?\n\"Answer: -657*u - 191273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 + 2 - u**3 + 0*u**3 + 2*u**3 as o*u**2 + l*u**3 + v*u + b and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 148067653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -7 - (-25 + 1) - (4 + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 5:22 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 9*d - 11. Calculate u(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-851*w**4 - 448*w**3 + 221*w**3 + 227*w**3 + (3*w**2 - w**2 - w**2)*(0*w**2 + 0*w**2 - 2*w**2) + 0*w**3 + 0*w**3 + w**4)*(-2*w - 2*w + 5*w).\nAnswer: -852*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650371.\nAnswer: 1650371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11645 and 364652215.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 4*p**5\/15 + p**4\/9 - p**3\/9 - 9*p. Suppose m(x) = 0. Calculate x.\nAnswer: -1\/2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -48. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*t + 12. Let b(c) = 7*c**2 + 5*c - 5. Let w(j) = 4*j**2 + 3*j - 3. Let l(g) = t*b(g) + 5*w(g). Let r(i) = 2*i**2. Calculate r(l(a)).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -1009*b**2 - 2. Let s(j) = 5489*j. Calculate z(s(o)).\nAnswer: -30400283089*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((4*5*(sqrt(171) + sqrt(171)*-1))\/((sqrt(90) - (sqrt(90) - (sqrt(90) + sqrt(90)*2*4 + sqrt(90) + sqrt(90))))\/sqrt(10)) + -3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -164, -176, -184?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24 + 0.04. Let z = j + 0. Let t be (-1)\/1 - (-1)\/2. Is t greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 625 and 205.\nAnswer: 25625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**4 + q**3 + 7759*q**2 + 187*q?\nAnswer: -24*q**2 + 6*q + 15518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.7 - 0.3. Let s = -67 - -67.167. Let z = s + -0.267. Which is the closest to -2\/5? (a) z (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 31*q = 32*q + 282070, 5*u - 176285 = 5*q. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Suppose 12 - 14 = 2*h. Let z = -8 - -4. Let k(f) = -f - 1. Let v(w) = 13*w + 4. Let s(c) = h*v(c) + z*k(c). Give o(s(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let c(l) = -l**3 + l**2 - l + 1. Let w(i) = -2*i**3 + 3*i**2 + 2*i + 1. Let g(o) = -c(o) + w(o). Let k(z) = 2*a(z) - g(z). Give k(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) 0.3 (c) -3 (d) 4 (e) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/4005 and 91\/8?\nAnswer: 32040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 4:30 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*29.62\nAnswer: -5.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3967*f + 4711*f + 1086*f - 1258*f - 372*f + 9014*f.\nAnswer: 17148*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**3 + v**2 + 3*v + 2. Give w(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.684?\nAnswer: 0.1368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 2:35 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 10 - n**2 - 4*n + 2*n + 4*n + 9*n. Let h be a(11). List the prime factors of (-531)\/(-15) + (-4)\/h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -56\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*d + 21 = 5*t, 3*t - 4*d = 18. Solve -w - 4 = v, 0 = -t*w + 2*v - 2 + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -131? (a) -3 (b) 49 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568941.\nAnswer: 3, 199, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(3\/13))*j)\/(j**7\/j))\/(j\/((j\/j**(-11)*j)\/j))**37 assuming j is positive.\nAnswer: j**(5223\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.381 - 20.521. What is the biggest value in 2.1, -3, 0, o?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**2 + 338*i - 338*i)*(-2 + 5*i**2 + 0*i**2 - i**2).\nAnswer: -24*i**4 + 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 3:53 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*p + 2 + 4 - 6 = 0, 5*o + 19*p - 20 = 26*p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 273033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-12\/7)*j\/(j\/j**(-2\/7)) assuming j is positive.\nAnswer: j**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 = -3. Let j(w) = 5 - 38*w - 4 + 85*w - y - 44*w. Give j(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 1 + 1)*(s - 6*s + 3*s) + (-2 + 2 - 2)*(55*s**2 + 3*s**2 + 25*s**2) + s**2 - 3*s + 3*s.\nAnswer: -169*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a56 (base 12) to base 14.\nAnswer: d202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-55 + (3 - (-19 + 6 + 6))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - 3*z - 2*z)*(0 - 30 + 1)*(5*z - 3*z - 3*z) in the form g + p*z + d*z**2 and give d.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/5)*r)\/r*r\/(r*r**(-8)))\/(r**10\/r*r**(-8)) assuming r is positive.\nAnswer: r**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -27 - (396 + -416)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 5:21 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-60))\/(101\/(-4545)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3769693 to the power of 1\/2, to the nearest integer?\nAnswer: 1942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 81?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7)*(-119)\/170*140\/10?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5832 and 3362472?\nAnswer: 30262248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*a = 139, m - 3*a = 2*a + 39. Suppose s + 604 = 3*o, 10*s = -4*o + 11*s + 807. What is the highest common factor of o and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 663 and 83487?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.5. Let p = -0.3 + 0.3. Let o = 0.5 - p. Which is the third smallest value? (a) 2\/11 (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 24797 - 27347 = 0. What is the remainder when q is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16231494?\nAnswer: 2, 3, 2705249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyl when three letters picked without replacement from yyyl.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -3*b, 2*b - 108 = -i. Let o = i - 35. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756 is divided by 218?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2 + 11*y - 3. Let z be s(6). Let b = -245 - z. Is (-1)\/(b\/(-56) - 3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-52)\/44 - (-8)\/(-44). Suppose -5*o - 11 = -q*f - 0, f - 3*o - 1 = 0. Suppose -15 = 9*p - 4*p, -4*p = -f*y + 760. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 <= 0.0097451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u**2\/u)\/u))\/u)**50)**(-9\/5) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + sqrt(204) + (sqrt(204) - ((sqrt(204) + 1*sqrt(204) + sqrt(204))*-4 + sqrt(204))))\/(2*sqrt(1200)).\nAnswer: 7*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -19.14\nAnswer: 76.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y**5 + 17245*y**4 - 684130*y**3 + 5588555*y**2 - 1354650*y = 0.\nAnswer: 0, 1\/4, 11, 30, 821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**2 + 4*d**2 - 4 - 3*d**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 13 - 10*k - 7*k + 3*k. List the prime factors of m(-16).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*(h\/(h\/(h*(h*h*(h\/(h*h**(-6)))\/h*h*h)\/h)))\/h)\/h)\/h)\/h)**(-3)\/(h**15)**(-6\/23) assuming h is positive.\nAnswer: h**(-324\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1100) + 1 + -4 + sqrt(1100)*2 + (-3 + sqrt(1100) + -2 + sqrt(1100))*-4)*-6)**2.\nAnswer: -61200*sqrt(11) + 1000404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676175 is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 + 6 - 2)*((-2 - 1 + 4)*(q - 4 + 4) - 3*q + 7*q - 2*q).\nAnswer: 174*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 - 2445557?\nAnswer: -2445570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323 divided by -67.\nAnswer: 323\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**3 + 6*p**3 - 15*p**3)*((2*p + 2 - 2)*(4*p - p - p) + (-p + 0*p + 2*p)*(-6*p + 2*p + 2*p)).\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 0.0978.\nAnswer: -0.1978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24 - 24)*1\/(-11). Let c(a) be the third derivative of n*a**3 - a**2 + 0*a**4 + 0 + 0*a + 1\/60*a**5. Let w(y) = -13*y. What is c(w(g))?\nAnswer: 169*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7879*n + 943285 with respect to n.\nAnswer: 7879","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 241 - 107 + 6*r - 257 + 27.\nAnswer: 6*r - 484","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1638 - 975. Suppose -g = -3*u + 1995. Suppose u = 6*o - 1808. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -74216.\nAnswer: -1\/37108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1656198528 to the nearest integer?\nAnswer: 40696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 - 38*l - 16. Let s(z) = z**2 + 13*z + 5. Let n(a) = 8*s(a) + 3*x(a). Let q = -24 + 16. List the prime factors of n(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + 136 - 2*z + 1232.\nAnswer: -2*z + 1301","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569835218.\nAnswer: 2, 284917609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u + 16 = 2*j, 2*j = -3*u + 11. Sort u, -6, 0.\nAnswer: -6, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62395487081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v - 4. Let i = v - -1. Let b = -0.2 + 0.1. Which is bigger: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 92?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*u = -1612 + 35860 + 25848. List the prime factors of u.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j - 10. Let z be i(4). What is the derivative of 4*a**2 - 17 + z - 5 wrt a?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111035 is divided by 597?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*s + 29 = z, -3*z + 4*s + 37 = 0. What is the remainder when 62 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - j - 2*j + 8 = 0, 0 = 3*j. Factor -6*v**2 - 4*v + 0*v + v**3 - c*v**2 - 5*v**3.\nAnswer: -4*v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25)\/(-10)*12\/10. Let a = 1 - -4. Let u(k) = k**3 + k**2 - k - 1. Let h(i) = 6*i**3 + 3*i**2 - 9*i - 4. Let m(w) = a*u(w) - h(w). Determine m(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (872\/(-3052))\/(8\/(-42))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 1 - 2) + 0 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9714 and -1.03034?\nAnswer: 9715.03034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {j: 1, r: 3, a: 1, c: 1, x: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 5*l**2 - 9*l - 21. Let c(v) = -v**3 + 17*v**2 - v + 10. Let m be c(17). Is 10 a factor of x(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373330721?\nAnswer: 373330721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.03183\nAnswer: -0.15915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 290*b**2 - b - 1. Let n be o(-1). Suppose -5*a = z - n + 25, 0 = z. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 6*g + 4. Let f be z(-5). Let x be 3\/18 + (4669\/42)\/29. Solve -x*w = -3*c - 7, 4 - f = -5*w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45123 is divided by 267?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94150 is divided by 1822?\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 + c**5 + 2*c**5 + (-18*c**2 - c**2 - 3*c**2)*(0*c + c**3 + 0*c) + 2*c**5 + 2*c - 2*c.\nAnswer: -15*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*v + 28 + 20. Sort -77, v, -5 in descending order.\nAnswer: v, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/11)\/s**(12\/5))\/(s**4\/(s*s**(-4\/17))) assuming s is positive.\nAnswer: s**(-5184\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -468 divided by -18\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -24. Suppose 9 - q = -4*s. Let g(m) = -2*m + 1. Calculate g(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 - 2*j**4 + 3*j**5 - 14*j**3 + 8*j**3.\nAnswer: 3*j**3*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.11 (b) 2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1024 divide 1532928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 5, 181, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 241514221?\nAnswer: -241514220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of (-6 - 11\/(495\/(-324)))\/(1\/14670)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3002 - 1632. What is the highest common divisor of d and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (11 - 2) - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 + 10*r**2 - 3*r - 10. Give j(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (217*d + 7 + 228*d - 7)*(-5 + d**2 + 6 + 9) as t*d**2 + j*d**3 + l*d + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33322 + -1?\nAnswer: 33321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -218 - -238. What is the lowest common multiple of 16 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 5:33 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2155, 1570, 585, -806, -2609, -4830, -7475, -10550?\n\"Answer: -b**3 - 194*b**2 + 4*b + 2346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**2\/5 - 3*f\/5 + 6\/5 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 11*j + 7*j - 18*j - 1. Let d(u) = -3*u**3 + 9*u**2 + 14. Let y(n) = 36*c(n) + 4*d(n). Differentiate y(r) with respect to r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2039 + 2057.5. What is the biggest value in 5, 2\/9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 145374, 145373, 145372, 145371, 145370?\n\"Answer: -i + 145375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*(-2*sqrt(245)*-6 + 2*sqrt(245) + 5))**2.\nAnswer: 1176*sqrt(5) + 48056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -4, 23, -10, -35, -515 in ascending order.\nAnswer: -515, -35, -10, -4, -3, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wss when three letters picked without replacement from {s: 3, u: 2, w: 5, v: 5, n: 1}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1872 and -1\/19812.\nAnswer: 237744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 9*v + 66 = 0, 5*v = -69*p + 70*p - 33 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 6) to base 16\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 131976 and 303056?\nAnswer: 8182512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 10. Let m be c(-6). Suppose 4*z = -u + 220016, 2*z = -m*u + u + 660008. Round u to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 3:25 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11304, -22628, -33966, -45324, -56708, -68124?\nAnswer: -79578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12526505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.4196391 and -15022467.\nAnswer: -15022465.5803609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/76)\/(2\/(-28)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*c + 156*c = 147*c - 7203 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 2*n + 13*n**2 - 41*n**2.\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -299, -456, -613, -770, -927?\nAnswer: -1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31603, -31499, -31321, -31075, -30767?\nAnswer: -30403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(63)\/(sqrt(81)\/sqrt(9))))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63993 and 140322.\nAnswer: 11646726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from {a: 1, w: 2, b: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3585 (base 11) in base 10?\nAnswer: -4691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + l + 22, -3*u + 13 + 25 = -4*l. Calculate the remainder when 28 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 32 = 36*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, 3, -8, -1, -4.\nAnswer: -17, -8, -4, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -16*f**2 - f + 31. Let w(y) = 32*y**2 + y - 62. Let u(b) = 3*w(b) + 7*x(b). Let z(t) = 3*t**2 + t - 6. Let a(o) = -2*u(o) - 11*z(o). Calculate a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15582 (base 10) to base 2\nAnswer: -11110011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - -0.29. Let u = 0.27 + 3.73. Which is the nearest to 2\/5? (a) u (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2298 divided by -4236.\nAnswer: -383\/706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 748291*n*u + 1662541*n wrt u?\nAnswer: 748291*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*p**2 - 23*p**2 + 26*p**2 + (5*p - 5*p + 2*p)*(-3*p + 6*p - p).\nAnswer: 35*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(20)*-1)\/((sqrt(250) - sqrt(10))*1).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/26 (b) 2 (c) 5219\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -101*b - 6 + 192*b - 107*b. Let d(w) = 8*w + 3. Calculate -13*d(p) - 6*j(p).\nAnswer: -8*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3616 (b) -0.1 (c) -1\/3908\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5317548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 754332808*u - 1116505041 wrt u.\nAnswer: 754332808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 103447689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 + 116*m + 2009. Let u(x) = -x**2 - 21*x - 402. What is -2*d(k) - 11*u(k)?\nAnswer: k**2 - k + 404","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4))**(4\/5)\/((c**10*c)\/c**(-1\/3)) assuming c is positive.\nAnswer: c**(-167\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - sqrt(20))\/sqrt(4) + 3.\nAnswer: 3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t + 32 = 30*t. What is the remainder when t is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/5*28\/112?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/684 + 4862\/(-342) - (-2)\/18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 4*v + 26, 5*a - 14 = 6*v - 5*v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -359\nAnswer: 359.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 779.922197 rounded to the nearest ten?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f = 32*f + 370. Calculate the remainder when f is divided by (-35)\/(-175) + (179\/5 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5517*b**3 - 11039*b**3 + 5468*b**3.\nAnswer: -54*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -4*(sqrt(245) + -2 + sqrt(245)) + sqrt(245) + (5 + sqrt(245))*3 + 5)**2.\nAnswer: -1176*sqrt(5) + 2989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -1, -2, -45 in decreasing order.\nAnswer: -1, -2, -23, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 459.3574 years?\nAnswer: 5512.2888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -11*c**2 + 595*c + 256*c**3 - 211*c**3 - 584*c. Let z(i) = -9*i**3 + 2*i**2 - 2*i. Calculate -2*o(j) - 11*z(j).\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*b - 2*b - 4*t, 41 = 3*b - 2*t. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -166 + r - 8*r + 163. Let t be c(-1). Solve 5*n = 5*l + n + 28, t*l = 3*n - 22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/3907?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -5. Let v = h + -0.2. Let s be 2\/13 + (-98)\/130. What is the second smallest value in s, -0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(4752) + 1*sqrt(4752) - sqrt(33))\/sqrt(11)*-1)**2 + (6*1*sqrt(192)*-1*-1)**2.\nAnswer: 14847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 2, -21, -37 in decreasing order.\nAnswer: 4, 3, 2, -21, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 3. Let v(l) = -2. Let x(h) = 2*s(h) + 3*v(h). Let g(q) = -121*q. What is g(x(y))?\nAnswer: -242*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5*i + 55, -115*i + 15 = -110*i. Solve -17*s + f = -19*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -9822*y - 500929. Give j(-51).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00708431 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -278, -4, -1, 160 in decreasing order.\nAnswer: 160, -1, -4, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2553*f**3 + 1724*f**3 - 748*f**3 + 32*f**3.\nAnswer: 3561*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 4825*c - 24176. Determine l(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -5, 316, 2 in ascending order.\nAnswer: -5, 2, 42, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.2, 1\/12, 1677257 in decreasing order.\nAnswer: 1677257, 0.2, 1\/12, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12492 + -12492.39. Which is the nearest to -1? (a) f (b) -4 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 47?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -651751708 - 143.5\nAnswer: -651751851.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 18*c - 124. Suppose 0 = -c*n - 3*n + 44. Solve n = -a, 2*a + 5 = -5*w - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -19 + 7\/2*a**2 - 67*a. Let j be i(13). Solve -4 = 5*v - j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -13 - (40 - (-1 + 11)) - 7?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 746904 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4 + 11 = 0. Let i be (-1)\/(-2) + (-3)\/(-2). What is the remainder when (i + 0 - 10)\/(-2) is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/(l*l**(1\/2)*l))\/(((l**(6\/7)*l)\/l*l)\/(l*l**(-5))) assuming l is positive.\nAnswer: l**(-201\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 = -12*y + 40 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 6:35 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from {k: 1, x: 1, i: 1, o: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66287091 + 0.4443.\nAnswer: -66287090.5557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -592, -590, -588, -586?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 231 + -211. Suppose -g*h - 55 = -1235. What is the smallest common multiple of h and 4?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2090 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.14 + -0.7. Let z = w - 0.04. Let o = z - 0.1. What is the second smallest value in o, -5, 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24\/25 or -1?\nAnswer: -24\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 997*a + 13421 - 87199 for a.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + x**3 - 7111*x**2 + 2*x**3.\nAnswer: 3*x**3 - 7111*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 67961.91081.\nAnswer: 67964.91081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j - w - 23 = 0, 5*w = -j - 11. Suppose -2*h + b - 5*b = -6, -h = 5*b - 3. Let u = 1 + h. Solve -4*o - j*r = o - 14, r + 7 = u*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-99)\/(-12))\/(-3) + 3. Let x = -5.09 - -0.09. What is the nearest to -0.1 in 0, x, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**3\/5 + 105*p**2 + 777*p\/5 + 258\/5.\nAnswer: 3*(p + 1)*(p + 86)*(2*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411816111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + 18. Let t be (9\/(-4))\/((-6)\/112). Suppose i - t = 33. What is the highest common factor of s and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chhc when four letters picked without replacement from hhhhcchhhhhhchhhhcc.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1113131011 (base 4) to base 9\nAnswer: 605334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9721\/10 + -1937\/2. Factor -4\/5*y**5 + 14\/5*y**4 + 2*y**2 + 0 - 2\/5*y - d*y**3.\nAnswer: -2*y*(y - 1)**3*(2*y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -180 + 9?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 6396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3\/4 - 141*x**2\/4 + 1583*x\/4 - 4515\/4 = 0. Calculate x.\nAnswer: 5, 7, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*sqrt(171)*-6 + sqrt(171))\/(sqrt(225)*1) + 0.\nAnswer: -17*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**2 - 3*p - 6. Let i be (-4)\/(-22) - 6\/33. Let u be 3\/2*16\/12. Let r(m) = -5*m**2 + i*m**2 + 0*m**u + 4*m - 3*m**2 + 7. Determine 6*j(v) + 5*r(v).\nAnswer: 2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 570 by -285.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -345 by -5.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6434\/108)\/((-16)\/(-24)). Let j = h - 553\/6. What is the common denominator of -7\/10 and j?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 10*a - 6*a. Let y(r) = r**3 - 11*r**2 - 2*r + 25. Let s be y(11). Suppose -3*h = -a*l - 15, 3*h + l - 15 = -s*l. Solve -q = -h + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z**4 - 12*z**4 - 4*z**3 + 1 - 2*z**2 + 175*z - 178*z + 20*z**4 as n*z**2 + c + q*z**4 + y*z + d*z**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/((-2)\/(-2 + 0)). Suppose -3*k + z + 50 = 0, -4*k = 2*z - 76 + 6. Let s = d + k. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 591, 813, 1157, 1611, 2163, 2801, 3513?\nAnswer: 4287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200401 is divided by 916.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*f, 0 = k - f + 6*f - 252. Suppose 5*w + k = 862. Calculate the highest common divisor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 215*f + 23*f**3 - 94*f**5 - 21*f**5 - 23*f**3 wrt f.\nAnswer: -2300*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 28525.\nAnswer: 57050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1. Let r(o) = 3*o - 2. Let c(u) = -4*n(u) + r(u). Let b(w) = -13*w - 9. Suppose 4*t - 4*j = -34 - 22, 4*t + j = -31. Give t*c(i) - 2*b(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-40)\/((j\/(j*j**0\/j))\/(j*j\/j**(-16))) assuming j is positive.\nAnswer: j**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266638613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 243.621 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 2. Differentiate -h - 123*a + 5*a**2 + 123*a + 4 wrt a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688330018 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -24) + -28 + 17\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-14025)\/(-1700)*84\/33\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 190 - 92. Let x = f - 98.00626. Round x to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 13*m**2 - 3*m + 9. Let i be u(13). Let c(x) = 14*x - 1. Let p be c(-2). Let w = p - i. Solve j - 2 = -w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 7:22 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22901744 and 1150.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -44*q**2 + 1509252*q - 274408 = 0.\nAnswer: 2\/11, 34301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4302 + -1516. Suppose -22*g - 168 + a = 0. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 1\/(-7) + (-290)\/(-70).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d**2 - 2*d**3 - 3*d + 2*d + 4*d**3 - 7*d**2 + 2*d**4 - d**3 as r*d**3 + z*d + n*d**4 + f*d**2 + g and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 641917376 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 475110 rounded to the nearest 1000?\nAnswer: 475000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.7, 1.8, 30 in increasing order.\nAnswer: -3.7, 1.8, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7209906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/13410 and -58\/1043.\nAnswer: 93870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w**4 - 231468*w**3 + 77180*w**2 + 128604*w + 25720 = 0. Calculate w.\nAnswer: -6430, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {j: 3, o: 2, f: 3, s: 2, c: 1, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/80)\/(3 - 4\/2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9300900 divided by 72100.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.05 from -131.\nAnswer: -132.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15828*j + 15828*j - 10*j**2.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + u**2 - u**2. Let i(k) = 61 - 3*k - 61. What is i(q(n))?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 284539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wui when three letters picked without replacement from {i: 3, u: 2, w: 3, x: 1, b: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -343 (base 15) to base 11\nAnswer: -611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 162.41437018 from -1.\nAnswer: -163.41437018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.4, 0.147915, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/5 + 193152*g**3\/5 - 3284162*g**2\/5.\nAnswer: 2*g**2*(g - 17)*(g + 96593)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4 + -2)*0. Suppose t = -4*l - 4*w - 4, 4*l - 20 = -5*w + 9*w. Suppose -4*q + v + 1943 = 0, -l*q + 7*q - 2419 = -2*v. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22811357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*j + 62, 5*g + 0 + 10 = 0. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 2*p**2 + p. Let m(x) = -3*x - 2. Let q be m(-1). Determine y(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -4*(sqrt(176) - (3 + sqrt(176))))*3)**2.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from rllr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8\/1503, -2, 32, -0.2, -0.15?\nAnswer: -8\/1503","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33922169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 236720 and 6753245?\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + 2. Let q = c - 14. Find v, given that 0 - 2\/11*v**q + 6\/11*v**5 + 0*v + 4\/11*v**2 - 8\/11*v**4 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133 + 150. Let l(o) = -11*o + 191. Let b be l(r). Solve -b*d = -3 - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244985047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**6\/720 - m**5\/180 - m**4\/36 + 2*m**3\/9 + 5*m**2\/2 - 4. Let h(n) be the second derivative of u(n). Factor h(b).\nAnswer: (b - 2)**2*(b + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 110 = 3*p - p, p - 5*j = 50. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 2*u + 2*u - 9*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/7974462 and -109\/12648.\nAnswer: 988833288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 9 - 24 = j, 0 = -2*j + 10. Calculate the least common multiple of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5 = 0, 2*q - 28 = 4*p - 0. Let m be (0 - 0)\/(q\/8). Solve -t + 3 + 2 = m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.7 + -19.7. What is the nearest to v in 0.3, 3, -0.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17212438*k**2*y + 10*k*y - y + 72002227 wrt k.\nAnswer: 34424876*k*y + 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 149 + -151. Let u be l\/(-17) - ((-1643)\/(-238) + -7). Which is greater: u or 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 6*y**2 - 16*y + 5. Let m be c(-8). Solve -12*u = -10*u + 2*z + 12, 4*z = -m*u - 29 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 12:31 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.3601 + 4.3601. Which is the third smallest value? (a) -3 (b) -2\/11 (c) 0.3 (d) g (e) 6\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4293\/3010 - -1\/430. Let w = -0.032 - 0.068. Which is the nearest to w? (a) 0.3 (b) o (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1234699, 1234697, 1234695, 1234693, 1234691, 1234689?\nAnswer: 1234687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + (3 - (13 + 11 + -23))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12699 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 43*w + 282. List the prime factors of u(38).\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**5\/60 + 7*o**4\/24 - 4*o**3\/3 - o**2. Let a be -8 + 4*28\/8. Calculate v(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04401778 less than -1824.8877?\nAnswer: -1824.93171778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2. Let t = 35 - 31. Let z(y) = -3*y - 15 + t*y + y - y. Determine d(z(u)).\nAnswer: -u**2 + 30*u - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2499692 is divided by 4940?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 421, 1672, 3751, 6658, 10393, 14956, 20347?\nAnswer: 26566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 510\/(-20)*8\/6. Which is bigger: f or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 491755 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -11*h**6\/2 + 12*h**5 + 771*h**4\/4 - 218*h**3 - 2448*h**2 - 864*h - 1284. Find a such that s(a) = 0.\nAnswer: -3, -2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903 is divided by 156?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 3*d - 21. Calculate the remainder when 72 is divided by r(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**5 + 288*h**4 - 1815*h**3 - 28566*h**2 + 213840*h = 0.\nAnswer: -10, 0, 9, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 31. Is 15 a factor of (h + 10)*90\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -2\/611, 15 in decreasing order.\nAnswer: 15, 3\/2, -2\/611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 962*t - 960*t + 6 = -4*v, 0 = -3*t + 4*v + 31 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3919 = 10*c - 11*c + 3923, -6*t = c - 28 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39353895.\nAnswer: 3, 5, 7, 17, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 696 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8624 = 295*v - 627*v + 244*v. Let u = -116 - -204. Let c = u - 60. What is the highest common factor of v and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.2 + -10. Let y = g + -6. Put -0.2, y, 2\/9 in increasing order.\nAnswer: -0.2, y, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from reereeeererueeeurre. What is prob of picking 2 r and 1 u?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8840592 and 90828?\nAnswer: 26521776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011101011100 - 100111101111?\nAnswer: 11110101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 3*b - 335. Let w be d(-20). Solve -4*g + 9 = -w*z - 12, -2*z + g = 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 23109, -0.03, 896?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 567 = -33*i. Let p be (i\/(-4) + 6)*12. Which is bigger: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22023344 (base 5) to base 13.\nAnswer: -68189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1237, -1239, -1241, -1243?\n\"Answer: -2*x - 1235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12538531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 6806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50350140 + -50349979.999933. Let g = 160 - j. Round g to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160*n**2 + 6*n - 23*n**3 - 5*n**4 + 8*n**2 + 0*n**4 + 21*n**3 + 4*n**4 to the form f*n**2 + j*n**3 + m + b*n**4 + r*n and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -1 - (-75)\/(-3). Let a = c + 28. Solve -f - 4*w + 12 = a, -5*f + w = 6*w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37783610 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1, -58, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 171*o**2 - 1574*o + 329. What is w(-10)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-39512.\nAnswer: -15804.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -374 + 745 + 1577*z + 3*z**2 - 370 + 131*z**3 + z**2 wrt z.\nAnswer: 786*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2239 = -2*w - 16013, -4*w - 27378 = -3*q. Is q a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16727 = -2480*i + 20473 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-4)\/g))\/g*g*g*g**(-1\/2))\/(g\/(g*g\/g**(-2\/7)))**(-15\/11) assuming g is positive.\nAnswer: g**(731\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**3 - 3*u**2 - 6*u - 2. Let f(s) = 14*s**3 + 9*s**2 + 17*s + 6. Let n(q) = -4*f(q) - 11*i(q). Suppose -10 = 7*z - 2*z. Calculate n(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j*l**4 + 9*j*l**3 + 106*j - 188*l**4 - 4*l**3 + 334*l**2 wrt l.\nAnswer: -24*j*l + 54*j - 4512*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22885 and 6792865.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 divided by -182?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-128)\/(-240)*(9234\/(-24))\/(-27)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16358, -32274, -48190, -64106?\nAnswer: -80022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**4\/16 + 5*l**3\/4 + 75*l**2\/8 - 21*l - 1. Factor m(u).\nAnswer: 3*(u + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141346 is divided by 4038.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -30?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 = -12. Let n be (0 - -2)*-1 - 1. Let j be (-2)\/(-4)*(n - -1). Which is the biggest value? (a) 4 (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10*6\/(-30))\/((-2)\/(-8189))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 12, 2*m - 17 = 5*g + m. Let o(j) = -j**2 + 1. Let h(w) = 3*w**2 - 4*w. Let c(q) = h(q) + 4*o(q). What is c(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -286, -414, -616, -886, -1218?\n\"Answer: n**3 - 43*n**2 - 6*n - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39476 at most as big as 577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -23*g**2 + 109*g + 812. Give v(11).\nAnswer: -772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2152691*a + 2*a**2 + 12045 - a**4 - 2152691*a to i*a**2 + r*a**4 + d*a**3 + y + z*a and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s. Let c(m) = 3*m. Let l(u) be the second derivative of 7*u + 1\/6*u**3 + 0 + 0*u**2. Let d(q) = c(q) - 4*l(q). Calculate x(d(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -12*q**2 - 18*q. Let k(i) = -i**2 - 2*i. Let g(y) = -5*h(y) + 45*k(y). Let r(m) = -4*m**2. What is r(g(x))?\nAnswer: -900*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/21 (b) -36 (c) -5 (d) -0.5 (e) -8 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 7*j - 6. Let c be x(4). Is c less than or equal to -34\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 - k + 2. Suppose -44 + 26 = 6*c. Let r(m) = -2*m**2 - m + 2. Calculate c*g(y) + 2*r(y).\nAnswer: 2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9071.\nAnswer: 47, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15074 by -3.\nAnswer: 15074\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2\/6 + c\/2 - 104\/3 = 0?\nAnswer: -16, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 175*d + 781. Calculate n(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-55) + (-8950101)\/(-33). Suppose 4*u = l + 420537. Let f = -2227062 - u. Round f to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.157, -40\/1599, 2\/13, -9 in descending order.\nAnswer: 0.157, 2\/13, -40\/1599, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 700752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*m - u = -23, -m + u + 7 = 0. Suppose -m*g + 24 = -12*g. Let b be 1\/5 + 132\/(-60). Sort b, g, -1.\nAnswer: g, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q + 1 - 3 + 2.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/9*(-92421)\/2934.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3110, 11944, 26666, 47276, 73774, 106160, 144434?\nAnswer: 188596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 375 - 227. Let n = 136 - z. Is n > -67\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -135 - -135.011. Let q = y - -2.989. What is the smallest value in 1, 2\/31, q?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -334\/5 (b) 6 (c) -2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5679379 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6*p\/(p\/p**(-5\/2)))**(-20)\/(p**4\/p**(-4))**(24\/5) assuming p is positive.\nAnswer: p**(-542\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 0\/(3*-1). Find the second derivative of k**i + k + 0*k + k wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 1, -2, -4, 2, -7828 in increasing order.\nAnswer: -7828, -4, -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + 2 - (13 + -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j**(-4\/11)))*j)**(-7) assuming j is positive.\nAnswer: j**(-126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002972659 rounded to seven decimal places?\nAnswer: 0.0000297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511058 a multiple of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -24 - (10 + 27 + -16 + -13)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 4*r**2)*(26*r**3 + 2 - 2*r**3 + 2*r**3).\nAnswer: -104*r**5 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/32*(8 - 0). Is (0 - (3 - 15\/o))*-844 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**2\/15 + 34*w\/15 + 28\/5 = 0.\nAnswer: -14, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-16)\/(-120)*(-6)\/8. What is the third smallest value in m, -0.4, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -22 + 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j**3*v**3 + 3*j**3*v**2 + 2*j**3*v + 4*j**2*v**2 + 53508*j*v**6 + 1659*j*v**2 wrt v.\nAnswer: -24*j**3 + 6420960*j*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*((-5)\/(-30) - 0). Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -18*p - 72. Suppose 5*n + 63 = -3*w, -6*n + 3*w = -2*n + 72. List the prime factors of h(n).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6140154 divided by 323166.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 1 = 5*y - y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2, 1.6, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:27 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + r - 4*r)*(-8*r + r + r)*(-24*r - 3 + 3 + 31*r).\nAnswer: 294*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*f + 0*f + 21 = 0, -3*a = 4*f - 111. What is the remainder when a is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a - 157. Suppose 0 = -4*d + 5*p - 98, -d + 5*p - 4 = 43. What is l(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + 0 + -1)*-4)**2.\nAnswer: -288*sqrt(5) + 6496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039398 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 347264 and 39296.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 24 = -4, -f = 3*o - 92. Calculate the remainder when 374 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -13*n**2 + 0 + 1 + 2. Let r(z) = 7*z**2 - z - 2. Let k(b) = 41*b**2 - 6*b - 12. Let q(m) = k(m) - 6*r(m). Give a(q(d)).\nAnswer: -13*d**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -242 - -2)\/1. Factor y*t + 2*t**2 + 3 - 253*t + 3.\nAnswer: 2*(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1792 and 77\/768.\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.6 - -1.6. Let v = 0.11 - 4.11. Let t = o - v. Do t and -1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**5\/30 + v**4\/24 - 2*v**3\/3 - 4*v**2. List the prime factors of f(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-12))\/(6\/(-8)). Which is the third smallest value? (a) d (b) -5 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 166637 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100001 (base 2) to base 12.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 19 - 5*w**2 + 20 + 2*w**2. Let b be k(1). Let l be (b\/3)\/(12\/(-27)). Put -4, l, -5 in decreasing order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 17*n + 40. Let u(m) = 38*m + 80. Determine 5*i(b) - 2*u(b).\nAnswer: 9*b + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 12:07 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40540?\nAnswer: 2, 5, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 36695\/10)*(-2 + 0). Let y = v - -13871. Round y to the nearest one hundred.\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 - 567 + 1139 - 572. Let c(f) = -f**2 + 2014. Give c(l(t)).\nAnswer: -4*t**4 + 2014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -23)\/((-2)\/(-3)). Suppose 0 = 4*j - g - 23. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 2276436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20.0144 * -0.106\nAnswer: -2.1215264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3518226599 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from {m: 3, v: 2, s: 5, o: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.000137154 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 + 46*b - 28. Let a(n) = -n**2 + 2*n - 2. Let r(x) = -3*a(x) + g(x). Let m be r(-9). What is the highest common factor of 39 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tspp when four letters picked without replacement from {t: 2, s: 1, p: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 + -60. Let l be (0 - 87\/(-12))*(r - 4). Suppose l + 13 = 14*c. Solve -32 = -4*a + 3*t, c*t = 4*a - 2*a - 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 16*z + 11. Let w(i) be the third derivative of -i**5\/60 - i**4\/2 - 7*i**3\/2 - 3*i**2. Let q be w(-11). What are the prime factors of j(q)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 + (-20)\/(-12). Let g = 0 + k. Which is the closest to -1? (a) g (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 74, 2, -2 in descending order.\nAnswer: 74, 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660265 and 185?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2 - 319206*c + 957609 = 0. What is c?\nAnswer: 3, 319203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 4*d**7\/105 - 13*d**6\/100 + 11*d**5\/75 - d**4\/20 - 214*d**2 - 1. What is g in p(g) = 0?\nAnswer: 0, 1\/5, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -2546.442?\nAnswer: 509.2884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 140608005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t**3 - 27*t**3 + 140*t**3 - 35*t**3 - 39*t**3.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26*357\/(-4692)*-23*(-12)\/14.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -229*d**2 - 857. Let k(g) = -215*g**2 - 859. Let u(h) = -6*k(h) + 7*l(h). What is the first derivative of u(q) wrt q?\nAnswer: -626*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/32775 and -17\/2641665?\nAnswer: 13208325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + -4 + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2*u + 5*f + 105 = 0, 2*u = -4*f - 44. Suppose -9*s = -732 + 912. Is u greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2788 = -6492. Suppose 0 = 4*y - 2*y + a. Let c = y + 12928. What is c rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*s + 4130, -5*s - 1768 = -2*i - 81. What are the prime factors of i?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-196)*14\/30.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**6\/20 + d**5\/3 + 9*d**2\/2 - 26*d. Let v(g) be the first derivative of s(g). Find the third derivative of v(r) wrt r.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170217 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**6\/20 + 5*p**4\/24 + 2*p**2 - 6. Let f(s) be the second derivative of t(s). Find the second derivative of f(l) wrt l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000053734 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + (-2)\/7*(11 + -18). Let b be (0 + 7)*(-1)\/(c\/6). Let a be (7 + -1)*(-3)\/b. Put a, -5, -6 in descending order.\nAnswer: a, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223 - -30?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.81981 - 0.03981. Which is smaller: 1\/3 or n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3999582 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80 - 100) + 0 + 9 + -4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5142427766 to the power of 1\/2, to the nearest integer?\nAnswer: 71711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/10 + -1)*(-460)\/552. Let i = 3 + -4. What is the nearest to 1 in i, -1\/4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w - 128 = -20*w - 17*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.2. Let v = -4.97 - 0.03. Let y be ((0 - 1)*3\/9)\/(-1). What is the second smallest value in v, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -842 + 847. Is 3 a factor of -1 + k + (39 - 12 - -14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -16053387?\nAnswer: 32106774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -85*p - 1193. Let j be s(-14). Which is the third biggest value? (a) j (b) -5 (c) -1\/3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/20)\/(160\/25). Let w = n + 7\/16. What is the second smallest value in -1, -2, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k = 6019 - 8989. Calculate the greatest common divisor of 902 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + sqrt(5))**2 + 2 + (sqrt(1715) + -1*sqrt(1715))\/sqrt(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -4, 2.\nAnswer: -4, 0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.65647746 and 18.8527.\nAnswer: 24.50917746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 396*t + 35646. Determine k(-90).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8875.757ms?\nAnswer: 8875757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + sqrt(2448) + 4 - (sqrt(2448) + -1 + 2)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 99 = -u, -3*u + 6*u = 3. Suppose 3*o + 2*l - 833 = 0, -3*o - 3*l + 289 = -548. What is the highest common divisor of f and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 x when four letters picked without replacement from xxxcxxxcxxxxccxxxxxc.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*q - 74 = -2266 - 3358 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16.9 and -1291532?\nAnswer: 1291515.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5849819591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 187 + -457. Let m = r + 544. Suppose -5*t - 25 = 0, 5*c = c - 2*t + m. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-1*-1 + sqrt(84))\/(((sqrt(63) + -1*sqrt(63))\/sqrt(9) - sqrt(7)) + -3*1*sqrt(7)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37285672 take away 240614?\nAnswer: 37045058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -0.2. Let j = 380 + -7218\/19. What is the biggest value in j, b, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 30042343?\nAnswer: 30042350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22.894 + 69.894. What is the fourth smallest value in b, -10\/11, -2, 2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l**2 + 5*l - 278 + 140 + 146 - l**3. Let i = -179 - -173. What is m(i)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 30. Let o = -34 + r. Suppose 3*i - 4*n = 34, i + 18 = o*i - 3*n. Calculate the lowest common multiple of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b17 + 2?\nAnswer: 5b19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 1. Let r(i) = -95*i - 40. Let m(o) = 4*c(o) - r(o). What is the units digit of m(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14659 and 445.\nAnswer: 6523255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87\/5 - 17. Which is smaller: -9 or q?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24589520 and -648?\nAnswer: 24588872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 1923*q + 131415. Give t(71).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 7*s**2 - 8*s - 7. Calculate z(-7).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10406 - 10360 - (-2 + (0 - (-1 + 1))) - -3?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**2 + 0*a - 75 + 1\/4*a**4 + a**3. Factor l(t).\nAnswer: t*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 16*b**3 - 2*b + 2*b**2 - 13*b**3 to a*b**2 + q + v*b**3 + o*b and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740*o - 375*o - 371*o = -6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 53.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 7*g**3\/3 + 7*g**2\/2 - 11. Let i(a) = 6*a**2 + 8*a + 1. Let z(r) = -4*c(r) + 5*i(r). Let b be z(-6). Solve l = 2*l - b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(2*sqrt(28)) + 4*sqrt(80)*2.\nAnswer: 129*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -172 - 22?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2421603 or -2421606?\nAnswer: -2421606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.04 and 27.655?\nAnswer: 27.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.221698 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 14986*h + 326. Does 58 divide g(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009419 rounded to seven decimal places?\nAnswer: 0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35740*l**3 + l**2 - 25635*l.\nAnswer: 214440*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -2*h**2 + 5\/3*h**3 + 0*h - 1\/8*h**4 + 0. Is 16 a factor of p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5046 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3510195 and 6552364?\nAnswer: 98285460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9)\/q**(-11))**(-26\/5)*q**(-8)\/(q**(-4\/7)*q)*q*(q*q**(-4)\/q*q)\/q*q*q*q**4 assuming q is positive.\nAnswer: q**(-19364\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, 4\/10931, -3 in descending order.\nAnswer: 4\/10931, -3, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 55. Solve -c*m = 2*k - k + 6, 0 = -m - 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.382 + -0.118. What is the smallest value in y, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -23*d + 60. Let u(a) = a - 1. Let t(l) = i(l) + 5*u(l). What are the prime factors of t(-13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 680170 - 80*t**2 - 680170.\nAnswer: -80*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 4 - 4 + (2*j + 4*j - 4*j)*(-1 + 9 - 4)*(2 + 2 - 2).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28\/9 in 0.3, -3, 0.4, -1471, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + (-2*(2 + -4*(sqrt(96)*3)\/sqrt(8)))**2 + 0.\nAnswer: -384*sqrt(3) + 6922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p = -97. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1912 = 7*t - 3*t, -5*z - 461 = -t. Let o = t - 250. Let q = o - -48. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*r - 16158, 4*j + 4*r + 9842 = -11702. Let c be (j\/(-40))\/((-6)\/(-21)). Let f = c - 471. Find the common denominator of f and 31\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -45, -0.25, -11, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 336.8 - -43.2. Is f at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 9*w + 2. Let r be g(-11). Suppose -r = 3*p - 69. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from {m: 3, x: 2, p: 2, v: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - j = -21, -139*j + 9 = 2*l - 138*j. Solve -5*g + 10 = 4*s - 0*g, -l = -3*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143021554?\nAnswer: 2, 13, 5500829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 4\/7 (c) 8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -266322 and 2.\nAnswer: -532644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4974? (a) -1\/2 (b) -1.4 (c) -3 (d) -1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1248 - 1248.006392. Round d to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -284.1 + 284. What is the biggest value in l, 0.4, -3, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 7, e: 2, o: 1, v: 4, t: 4}. What is prob of picking 1 o and 1 q?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9507236?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/14 - (-34)\/14. Let a = s - -3. Suppose -3*x + 20 = 4*l, 3*x + a*l = -0*l + 22. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 10*u - 5. Let o(c) = -c**2 - 9*c - 4. Calculate 5*o(p) - 4*r(p).\nAnswer: -p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46\/105 - 1\/105. Let m = 5343\/4 + -1336. What is the closest to b in 1\/6, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 6054, -45, 2 in descending order.\nAnswer: 6054, 35, 2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/21 - 4)*(-15 + -35 - -48)?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 459 = -5*w. Let c = -580 - -619. Calculate the remainder when w is divided by c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-225)\/(-180) - (-45)\/(-12))\/(-11 - -1). Which is bigger: v or 2\/10703?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -22. Let n = -7 + x. Suppose -n*i = -5 - 3. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -0.4, 2 in descending order.\nAnswer: 95, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 291*r - 295*r = -40, -3*r = -5*f + 42 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**3 + 3*z**2 - z - 2. Suppose -10 - 17 = -3*c. Let s(k) = -k**2 - 4*k**2 + 21 - 18 - c*k**3 + 2*k. Give -5*b(d) - 3*s(d).\nAnswer: 2*d**3 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -9*h**3 - 9*h**2 - 36*h + 112. Let v be b(4). Does v = -6760\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2596 = 6*j + 24736. List the prime factors of (-7)\/28 - j\/8.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33626194 and 70.\nAnswer: 168130970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 826577 - 0.5.\nAnswer: 826576.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**2 + 649 + 645 - 1294.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*o - 2 = 2, -20 = -4*o. Let q = i + -6. Sort q, 0, 1 in ascending order.\nAnswer: q, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -5*n + 31, -2*n = -2*m - 50 + 34 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 16 + 141. Let o = -155 - s. Solve 0 = 4*x - k - 22, -5*x + 31 = -k - o*k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 9538966 = 2361034. What is i rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 6*o + 1296. Let s = o - -396. Suppose -5*b + s = 60. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c + 4*c + c**2 - c. Let t(n) = 2*n**2. Calculate t(w(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**3\/3 - 7*x**2\/2 - x. Calculate the remainder when (1 - (16\/(-4) - -3))*2 is divided by i(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 = 2*x. Suppose -62 = -15*v + 13*v. Suppose -v + 56 = -f. Sort -3, x, f.\nAnswer: f, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**2\/7 - 111264*v\/7 - 731768 = 0.\nAnswer: -46, 55678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**1*p**(-22))**23)**(2\/7))**(-6\/23) assuming p is positive.\nAnswer: p**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + (1 + sqrt(75))**2 + sqrt(75) + sqrt(75) - sqrt(75)) + 2 - 5*((sqrt(165)\/sqrt(45))\/(1*(sqrt(11)*-1 - sqrt(11))))**2.\nAnswer: 15*sqrt(3) + 895\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - j + 1. Let y(d) = -2*d**2 + 4*d - 4. Give -7*i(t) - 2*y(t).\nAnswer: -3*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5996 = -3*n + 94. Does 70 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524632573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, p: 4, e: 2}. What is prob of picking 3 p and 1 s?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30666160*d**3 + 5*d + 70931 wrt d.\nAnswer: 183996960*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 866256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17208*n + 1241 - 2*n**2 - 1241 - 18499*n.\nAnswer: -2*n**2 - 1291*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -1103, -3775, -8983, -17573, -30391?\nAnswer: -48283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuttttut. What is prob of picking 1 u and 1 t?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/(21\/(-6)). Let f be (405\/(-100))\/(-9)*-2. Let y = f - -7\/5. What is the closest to 1 in 1\/4, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 841 - 797.1. Let o = -44 + m. Which is the smallest value? (a) o (b) 0.2 (c) 3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1302 - 1301.8. Let c = 3.1 + -3. Let i = c + -0.05. Which is smaller: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w - 6. Suppose 4*g = -4*i - 16, 0 + 12 = -3*g. Suppose i = x - 17 + 16. Let n(a) = -1. What is x*s(c) - 5*n(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 + 189*q - 19 - 61 + q**2 - 16.\nAnswer: q**2 + 189*q - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 6*r**2 - 6*r - 5. Let x be d(4). Sort -1, x, 0, 6 in ascending order.\nAnswer: -1, 0, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - -10 - (7 + -5). Suppose -4*q + 3 = -i*q. Let v be 0 - -2 - (-1)\/(q\/6). Which is the nearest to -1\/2? (a) v (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11886, -11816, -11746?\n\"Answer: 70*s - 11956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4\/7403?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-342)\/81 - ((-120)\/(-54))\/(-10). Let v be 96\/(-190) + 2\/5. Let n be (0 + -3)\/((-54)\/8). Put x, n, v in ascending order.\nAnswer: x, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80786 and 1798.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**4 - 90*x**3 + 395*x**2 + 90*x - 400 = 0.\nAnswer: -1, 1, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -76545001*c**4 - 688852515*c**3 + 765922447*c**2 - 525021*c + 90 = 0. What is c?\nAnswer: -10, 3\/8749, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) 4 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {h: 4, w: 1, f: 1, y: 4, v: 4, x: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o. Let d(p) = -p - 64. Calculate d(t(r)).\nAnswer: -6*r - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27112461?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28099.7 rounded to the nearest 100?\nAnswer: -28100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17137 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43156230 + 32?\nAnswer: 43156262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 129642 (base 11) in base 9?\nAnswer: 338518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y + 6. Let n be h(-3). Suppose n*d = -4*d + 8. What is the third derivative of -11*x**2 + 2*x**d - 3*x**3 + 0*x**3 - x**3 wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**7\/140 - j**6\/45 - j**3\/6 + 6*j. Let k(z) be the second derivative of i(z). What is the third derivative of k(t) wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28356800 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 4*s**3\/3 + 586. Let w(p) = 164*p**2. What is w(h(a))?\nAnswer: 2624*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 14 = 2*m - 3*u, 4*u - 16 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57799, 115473, 173147, 230821?\nAnswer: 288495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063 plus 31?\nAnswer: 31.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -235887.75 * -0.5\nAnswer: 117943.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2. Let l(a) = 14 - 14 - 6*a**2. Let o(i) = 16*g(i) - 5*l(i). Let j(z) = -6*z**2. Calculate j(o(p)).\nAnswer: -24*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 + -35. Let f be ((-26)\/(-39))\/(4\/(-6)) + r. Let n be -1 + -2 - -4*f\/30. Sort 0, n, -4, 0.2 in descending order.\nAnswer: n, 0.2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1713 plus -1.2?\nAnswer: -1714.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -711?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -5*u**2 + 20*u + 66. Let b(j) = -3*j + 6. Let w(o) = -17*b(o) + 6*z(o). Differentiate w(a) wrt a.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-14)*((-170)\/30)\/(-17).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-2*9\/(-6). Suppose r*x = 7*x + 4. Let t(f) = 4*f - 1. Let m be t(1). Put 4, m, x in descending order.\nAnswer: 4, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 12*m**2 - 26*m - 6. Suppose -3*b = -5*y + 36, -6*y + 4*y - 3*b + 6 = 0. Is 27 a factor of r(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {m: 5, q: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/3, -0.8 in increasing order.\nAnswer: -0.8, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - r + 4 = 0, 0 = c + 4*r - 3*r + 1. Is c - -5 - ((-78 - 1) + -5) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 113838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101032232 (base 4) to base 10.\nAnswer: -1119150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -37.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -6) + 5 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -422 + 419. What is the lowest common multiple of 6 and 4 + (-3 + 4)*i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 151 + -149. Solve -4*k = -m*q + 3*q - 7, q + 3*k = 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1f5 (base 16) to base 7\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 2*b + 3. Give m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69954, -69995, -70054, -70125, -70202, -70279, -70350, -70409?\nAnswer: -70450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 303 and 42.\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.3. Let l = -22494 + 22494. Which is the smallest value? (a) 0.5 (b) l (c) 2\/13 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.074 - -14.926. Let y = -11 + -6. Let c = a + y. What is the second biggest value in c, 1\/4, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from fkkkffkakkjfj?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2154 by -5341.\nAnswer: 2154\/5341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 51. Let w(b) be the second derivative of 3\/2*b**2 - 1\/4*b**4 + q - 2*b + 0*b**3. Find the first derivative of w(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnhnnhnnnn. What is prob of picking 2 n?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 32*c = 4840. Sort 2\/9, c, -0.4.\nAnswer: -0.4, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1000011001110?\nAnswer: -1000011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (-1 - 17004\/(-4250)). Let u = 1801 + -1802. Is k at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-24)*-1*9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -88*i**5\/5 - 2*i**3\/3 + 194*i - 201. Find the first derivative of b(z) wrt z.\nAnswer: -352*z**3 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*10\/16*2. Suppose 3*b + b - 28 = -s*p, 0 = 5*p. Let k(l) = b - 7 - 10*l + 0. Let f(t) = 2*t**2. Determine k(f(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12 - (160\/(-112))\/((-48)\/399). What is the second biggest value in g, -1\/2, -2.49?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -6. Let i = -4 + l. Let j(r) = 6*r. What are the prime factors of j(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 12:52 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5547187 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24881 and 895.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a microgram in nanograms?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 37\/13, -5, 0, -2\/9 in increasing order.\nAnswer: -5, -2\/9, 0, 37\/13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iivgiiioevoigiievgo. What is prob of picking 1 e and 2 o?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000053711314 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 20, -5 = -m - 5*f + 20. Suppose 6*o - 98 - 1414 = m. Does 36 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.00717 - -0.006925. Round m to six decimal places.\nAnswer: -0.000245","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - -54*1\/(-8). Let n = 231\/5 - 46. Let x = -117\/2 - -57. Which is the closest to n? (a) 1\/5 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 1. Suppose -6*i + 1406 = -i + x*c, -5*i = -4*c - 1414. List the prime factors of i\/5 - 6\/15.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 26, -10, -1.\nAnswer: -10, -1, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -15*z**2 + 12*z + 6. Let m be l(-3). Let w = -475\/3 - m. Factor 80\/3*x - w - 35\/3*x**2.\nAnswer: -5*(x - 2)*(7*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13880256*l**5 + 2*l - 26941320.\nAnswer: 277605120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 23748*p - 166187.\nAnswer: -(p - 23741)*(p - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 10:00 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 110657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9105.66 or -12\/7?\nAnswer: -9105.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**2 + a**2 - 3*a**2)*(2*a - 4*a + a) + (2 - 1 + 1)*(-2*a**2 - a**3 + 2*a**2).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5829 + 2030. Suppose y - 2*y = -8220. Let f = v + y. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*q = 62*q - 75 + 39 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 392, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7898 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 514375068 and 684.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/30 - 24*n**2. Let v(z) = -6*z + 2. Give d(v(r)).\nAnswer: 72*r**2 - 48*r + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.47105 meters to kilometers.\nAnswer: 0.00347105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14629 - 14630. What is the fifth biggest value in -19, -2\/9, a, -0.4, 13?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103223131 (base 4) to base 10.\nAnswer: -80605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -23*t**2 + 4*t - 7. Let f be p(-6). Let x = f - -9443\/11. Let d be (-6)\/27 + (-7)\/9. Which is smaller: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 14*h + 19. Let k be a(-15). Let m(d) = d**3 - d**2 - 5*d - 3. What is m(k)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -136 + 135.5. Let m = 0.81 - -3.19. Which is the nearest to m? (a) -3\/4 (b) -6\/11 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-5)*1 - 2200\/250. Let s be 4\/(-14) - (280\/49 + z). Solve 4*n = -8, 12 = 4*b - s*n + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.971275ug to grams.\nAnswer: 0.000000971275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 165624253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/32 >= -30519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -3094 (b) -4 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**7\/168 - 13*k**6\/40 + 123*k**5\/80 - 125*k**4\/48 + 7*k**3\/4 + 16*k - 29. Let q(p) = 0. What is p?\nAnswer: -42, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 29*z**2 - 33*z - 61. Calculate the remainder when 81 is divided by t(-30).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**6\/120 - a**5\/15 + 7*a**4\/24 - a**3\/2 - 127*a**2. Calculate i(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzqzqzb. What is prob of picking 1 z and 1 b?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 5) + (-5)\/(-1). Let z(w) = -i + 2 + 4*w - 8 + 8. Calculate z(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94789 is divided by 3510.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1341057 or 4.46?\nAnswer: 4.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-14) - 8\/(-28). Suppose -4*r - 5*s + 2 = z, -7*r + 3*r + 4*s = -20. Let w be (-4)\/r*(1 + 2). Let q(m) = m**2 + m - 2. Determine q(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(700) - (sqrt(700) + 1) - sqrt(700)) + 2 + 3*(1 + sqrt(700) + 1 - sqrt(700)))**2*3.\nAnswer: -120*sqrt(7) + 2112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(612)*-3.\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21\/76 + 139\/228. What is the nearest to -1 in q, -0.31, 0.1, -4?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (14 + (-12 - -17) + 13 + -7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2\/9 - 11928989*w\/9 - 2650886 = 0.\nAnswer: -11928987, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2 = -3*d, -5*d - k = -4*k + 26 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922 is divided by 41?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 5. Let x = -16 + 10. What is b(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 j, and 1 d when four letters picked without replacement from {d: 4, f: 8, j: 4}?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in minutes?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/((((w*w**5)\/w)\/w)\/w*w))**(3\/16))**(-2\/77))**1)**(1\/41) assuming w is positive.\nAnswer: w**(9\/25256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 7 (b) 1\/3 (c) -4 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 9:14 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1314 and 1022?\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 1\/6*y**3 - 3*y**2 + 0 + 2*y. Suppose 4*a = a. What is r(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 287*u**2 + 1719*u - 19. Calculate s(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -638? (a) -1 (b) 2 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 4:03 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**2*z**2 - 910222*y**2*z - 44*y*z**2 - 5*z**2 - 1232*z wrt y?\nAnswer: -4*z**2 - 1820444*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(120) - sqrt(120)*-3) + sqrt(120) - sqrt(120))*-6)\/sqrt(12))\/(-4*sqrt(72)*-6)*5.\nAnswer: -5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 12 + 9 = 0. Suppose 0 = -6*n + f*n - 2*c + 1, 0 = n - 5*c - 23. Solve 5*a - 10 = 4*q, 10 = -n*q + 3*a + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14070113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {p: 5, b: 3, z: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (-1 + sqrt(200) + sqrt(200) - sqrt(200)) - (-2 + (sqrt(32) - sqrt(2))))**2 + sqrt(10)\/(sqrt(20)\/sqrt(4)*-2))*-1.\nAnswer: -27 + 37*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.6, 4, 13\/8 in decreasing order.\nAnswer: 4, 2.6, 13\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3940*n - 1776*n - 971*n + 3507*n + 7015*n.\nAnswer: 11715*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 8*b - 4*b. What are the prime factors of b\/(-2)*2\/(-6)*124?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -0.092242?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, -141, -356, -657, -1044?\n\"Answer: -43*g**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - h + 236. Let f(b) = -b**3 - 4*b**2 - 3*b. What is the remainder when h is divided by f(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**4\/12 - n**3\/3 - 6*n. Suppose 3*b + 4 = b. Let c be k(b). What is the highest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*g*i**2 - 19*g*i*n**2 - 7*g*i*n + 13*g*n**2 + 19*g wrt i.\nAnswer: -34*g*i - 19*g*n**2 - 7*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o. Let x(m) = -2*m. Suppose 0 = 10*k - 7*k + 12. Determine k*x(a) - 11*t(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*i**2 + 50*i**2 - 115*i**2.\nAnswer: -34*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5071*x = -2*q + q - 5068*x - 32, -q + 58 = 27*x for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z - 2*z**3 + 18*z + 0*z**3.\nAnswer: -2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -10, -10 = -g + 5*n + 124. Suppose 2*l + 0*l - g = 0. Calculate the greatest common factor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -215*g**4\/4 - 19*g**3 + 219*g**2\/4 + 19*g - 1 = 0.\nAnswer: -1, -2\/5, 2\/43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 100927309*c**4 - 11440954 wrt c?\nAnswer: 403709236*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -25. Suppose 2*y + u - 28 = 0, y - l = -2*u + 6. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 12:19 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 12. Let u be r(0). Suppose 17 = -11*d + u*d. What is the greatest common divisor of d and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 23, 13, -1, -19, -41?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {x: 2, b: 1, k: 2, w: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y. Let v(u) = -u. Let j(k) = -2*c(k) + 5*v(k). Let l be (0 + -4)\/(2 - 4). Let p(h) = l*h**2 - 4*h**2 + h**2. Calculate j(p(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -34*l - 1. Let k be w(-4). Let n(q) = q**2 + 9*q - 8. Let u be n(-10). Suppose 5*t - k = -2*r, 5*t + 29 + 96 = u*r. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, n: 7, z: 1, m: 2}. Give prob of sequence nt.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10847 (base 9) to base 11\nAnswer: -54a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 12*k**2 + 6*k + 12. Let q be c(12). Suppose -q = -3*a - 4*a. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b**3 - 90*b**3 + 25*b**3)*(-1 + 1 + 2*b)*(0*b - b - b).\nAnswer: 228*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*f - 1. Let c be 0 - f\/3*(-1 - -1). Suppose -25 = -5*y - c. Calculate the greatest common factor of 35 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 2978560?\nAnswer: 2978560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7286, 14884, 22472, 30044, 37594, 45116, 52604, 60052?\nAnswer: 67454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 11*a**2 + 13*a + 4. Let o(q) = -7*q**2 - 9*q - 3. Let t(y) = 5*h(y) + 8*o(y). Let v = -4 - 2. What is the lowest common multiple of 20 and t(v)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h + 3. Let z(o) = -o. Let s(t) = b(t) - 4*z(t). Let v be 6\/(-4) - 9\/6. Give s(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -19. Which is the biggest value? (a) -5 (b) -3 (c) 4 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 - 6*t**4 - 2*t**4)*(0*t + 3*t - 4*t).\nAnswer: 9*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**3 - 2575120*g**2 - 331603348800*g - 10608670402560 = 0. What is g?\nAnswer: -257496, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.01 and -12?\nAnswer: 24.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.04 + 0.04. Let j = -0.8 - w. Let k = -1807\/9 - -201. What is the third smallest value in j, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + 2*z**2 - 4*z**2)*(-2 + 2 + 2*z)*(1203 + 1299 - 141).\nAnswer: 4722*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 + 2.16. Let r = y - -4. Let g = 6639\/4 + -1660. Which is the smallest value? (a) g (b) 4\/9 (c) r (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/3 - -4)*-103. Let c = s + 439. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**2*u\/(u\/(u\/(u*u\/(u**(2\/9)*u)))))\/(u**(3\/7)*u\/(u\/u**(-5))))**(-36))**(-24\/13) assuming u is positive.\nAnswer: u**(41088\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 2:46 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**4\/5 - 2*t**3\/3 + 4*t**2\/5 + 6*t\/5 + 8. Factor o(r).\nAnswer: -2*(r - 1)*(r + 3)*(2*r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 + 2 = 0. Let h(i) = -9*i**3 - i**2 - i + 1. Let w(d) = -5*d**3 - d**2 - d + 1. Let c(k) = a*w(k) - 3*h(k). Let c(m) = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.6 - -13. Let p = 27805.40001 - 27806. Let b = y - p. What is b rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, l: 2, s: 4, a: 1}. What is prob of picking 1 l, 1 i, and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 2*z - 1. Let c be w(-1). Solve -j + 1 - 2 = -p, -4*p + 3*j + 4 = c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 369\/205 + 448\/(-260)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -2, -2\/9, 0.5.\nAnswer: -46, -2, -2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:30 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 1697*g - 1700*g + 57 - 293, -7*q + 5*g = -400 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 0.32 (b) 128 (c) -4 (d) 3\/2 (e) -0.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**8\/84 + p**6\/8 + 253*p**4\/24 - 157*p**2 - 1. Find the second derivative of s(r) wrt r.\nAnswer: -80*r**3 + 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43\/3 + 14. Let b(a) = -a**2 - 6*a - 5. Let o be b(-5). Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*6\/(6\/2). Let k be (3\/4)\/((-2)\/m). Suppose -4*q = -3*a - 18, 5*a + 22 - k = 3*q. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -17. Suppose f*g = -w + g + 12, -2*w + 4*g = 6. Is 6 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, 1115, 3224, 6167, 9938, 14531, 19940, 26159?\nAnswer: 33182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5061011?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 0*y - 3*y - y - 26.\nAnswer: -4*y - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o**(-12)*o)\/o**(15\/4)*(o**(-13)*o)**(1\/7) assuming o is positive.\nAnswer: o**(-377\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -900.\nAnswer: -900.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3457075*v**2 - 35*v - 3568.\nAnswer: -6914150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13869\/46*((-7)\/(-3) - 2). Let z = 607\/6 - b. Let 2\/3*q + z*q**4 - 4\/3*q**2 + 2\/3*q**5 - 4\/3*q**3 + 2\/3 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81109 (base 12) in base 8?\nAnswer: -507531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**3 + 29*f**2 + 20*f + 1. Calculate g(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-15))\/(6\/(-10)). Let d = 1.2835 + 6.7165. Sort 1, d, f, 0.1 in decreasing order.\nAnswer: d, 1, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**4 - 316*j**3 + 1008*j**2 + 1936*j - 2624 = 0?\nAnswer: -82, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*n - 7*n + 4*n)*((n + 1 - 1)*(5 - 2*n**2 - 5) + n**3 + n**3 - 4*n**3 + n**3 + 0*n**3 - 2*n**3).\nAnswer: 65*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/sqrt(8) - sqrt(25))*-2 + sqrt(25) - sqrt(200)\/(-1*sqrt(8)))\/(sqrt(500)*3*2*-6).\nAnswer: -sqrt(5)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 8*z - 7. Let w be n(-11). Let r be 10\/w + (-14)\/24. Put 0.1, r, 4 in decreasing order.\nAnswer: 4, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8298 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 - 5*o**3 + 0*o**3)*(2 + 4 - 4)*(7 - 3 - 3) + (-3 - 2*o**3 + 3)*(151 + 369 + 58).\nAnswer: -1160*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -11*a - 5. Let k(s) = 23*s + 11. Determine 6*k(w) + 13*t(w).\nAnswer: -5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/((10868\/(-65))\/(-22)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1426 and 0.4.\nAnswer: 1426.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45693 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22437 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 100212?\nAnswer: 100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1593012 is divided by 1994?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.96 - -0.04. Let o(u) = -u + 1. Let p be o(3). Let n be (-2 + 1)\/(-4 - p). What is the nearest to n in 2\/5, -2\/7, d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**3\/3 + 2*a. Let k(p) = p**2 - 2*p**2 - p**2 + 3*p**2. What is n(k(l))?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-10)*(5 - (-2 + 1)). Let d be a\/(-33) + 31\/11. Let t(r) = 3 + r - r**d - 2*r - 3*r + 5*r**2. Give t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190811632 divided by -8673256\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 235?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*j**2 + j**2 + 23*j**2 + (-j**2 - 2*j**2 + 4*j**2)*(-4 - 6 - 5 + (-4 + 1 + 2)*(-2 - 4 + 5)).\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 + 4*h**2 + 0*h**2 + 7*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -792350.\nAnswer: -792351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 23*h**2 - 10*h. Let l(m) = 17*m**2 + 9*m + 9. Let s(t) = 4*t**2 + 2*t + 2. Let x(q) = -2*l(q) + 9*s(q). Give k(x(u)).\nAnswer: 92*u**4 - 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64926 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k*k**(2\/9))))**(-2\/63)\/((k\/k**(1\/11))\/k**(-1)) assuming k is positive.\nAnswer: k**(-12347\/6237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*b + 45 = 0. Let r(g) = g**3 + 10*g**2 - 2*g - 21. What is the tens digit of r(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2 (b) -1 (c) 2027\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccxccxcccccxccccc. What is prob of sequence cxxx?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9\/8 (b) 464\/11 (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -19 + (-3 - 3) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*b + 118*b + 120 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -54*t**2. Let q be (-3)\/(-7) - (7 + (-120)\/14). Let k(m) = -3282*m + m**q + 3282*m. What is k(w(b))?\nAnswer: 2916*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-240)\/200*(-20)\/6. Solve -4*m + k = 16, -4*m - l*k = -2*k + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 592\/(-2960) - (0 - ((-679)\/(-40))\/(-7)).\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**4\/4 - 2*n**3\/3 + n**2 - 2*n + 4. Let u be j(2). Suppose -z + g = -5 - 41, 86 = u*z + g. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604115.41 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-8))\/(3\/9). Suppose -3*u = -3*v + 15, -2*v - 5*u - 13 + 2 = 0. Which is the second smallest value? (a) j (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -677*f**2 - 902*f**2 + 311*f**2 - 715*f**2 + 350*f**2 as r + a*f + w*f**2 and give w.\nAnswer: -1633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 8*a + 8. Let d be v(7). Let r(k) = k + 59. Let c be r(-25). Suppose -11*x + c = 6*x. Sort d, x, -7, -2 in increasing order.\nAnswer: -7, -2, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.6 + -13.58. What is the closest to -1 in -1\/3, f, -4\/5, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 405 and 4185.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1031 - 7229\/7. Find the common denominator of 39 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0\/d)**29\/(d*d**(-1)*d)**43)\/((d*d**1*d)**8\/(d**(2\/3))**(-28\/9)) assuming d is positive.\nAnswer: d**(-2648\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12778 - -28154. Does 124 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 14. Let n = 4 + j. Suppose 0 = 5*h + 4*k + 5, 2*h + 0*k + 2 = k. Put n, h, -3 in decreasing order.\nAnswer: h, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -49.2. Let h = 6\/35 + 81\/140. Are d and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340647 is divided by 160.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 945 + -1421. Let r = -471 - v. Solve 3*g + 12 = 5*g - r*f, -3*g - 2*f - 20 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1744339 is divided by 671?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyvypyvy. What is prob of sequence yv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*r**2 - 14*r**3 + 2152 + 10*r**3 - 2146 + (r**2 - r**2 - r**2)*(r - 5*r + 3*r) - 3*r**3 - 2*r**3 + 6*r**3.\nAnswer: -2*r**3 + 10*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**2 + 9*r - 1847. Let j(l) = -l**2 + 2*l - 462. Give 9*j(h) - 2*v(h).\nAnswer: -h**2 - 464","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 14*i - 28 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641 - 3*r + 641 - 3*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -0.1 (c) 1 (d) 0.4 (e) -1595\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3051 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5605?\nAnswer: 5, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -245925711?\nAnswer: -245925708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4681559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -413?\nAnswer: -206.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -506, -525, -554, -593, -642, -701, -770?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*j. Suppose j*w - 170000000 = -5*w. Suppose 3*y - w = 5*y. Round y to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8*u - 2. Let q(y) = y**2. Calculate j(q(h)).\nAnswer: -8*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4263, 4278, 4309, 4362, 4443, 4558, 4713?\n\"Answer: i**3 + 2*i**2 + 2*i + 4258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -41413 (base 5) to base 8\nAnswer: -5255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 252*k**3 + 4677*k**5 - 95*k**3 - 468*k - 4679*k**5 wrt k?\nAnswer: -40*k**3 + 942*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 2. Let t be p(3). Suppose -4*v + 36 = -4*j, -j + 6*j = -4*v. Put t, -3, v in decreasing order.\nAnswer: v, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 0*u**2 - 2*u**2 + u**2 - u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 d when three letters picked without replacement from {d: 14, n: 1, h: 2}.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6936 = j - 2082, q = 4*j + 2413. Calculate the highest common divisor of 35 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 2:53 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7568a (base 15) in base 6?\nAnswer: -11553334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98142394 is divided by 6957.\nAnswer: 6952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**3*z - 2*j*z - 4*j + 260*z wrt j.\nAnswer: -6*j**2*z - 2*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24936 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 269676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 3*v + z = 5, 5*z + 5 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuuu when four letters picked without replacement from {u: 3, w: 9}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*x - 4*n - 30 = 238*x, 5*x + 7*n = -10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44.4715 + -1.4435. Round f to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1398860 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 22381 - 64341 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = t - 3*p - 47, -t + 8595 - 8673 = 4*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = 3*s. Suppose g = s*g. Suppose g = -4*c + 25 + 23. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.26 rounded to zero dps?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-14)\/(-8))*4\/8\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2) + (3 - 2). Let g = -5 + 320. Suppose m = -2*n + 5*o + 223, o + g = 3*n - 0*o. What is the lowest common multiple of n and 10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 60*z**3 + 11 - 16.\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2 (c) 1 (d) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 54?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/(332\/249).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56490727?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 7*x + 13. Is 19 a factor of q(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 w when three letters picked without replacement from {w: 3, b: 3, v: 1}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 254\/(-4)*6\/(-3). Suppose 3*y - 4*k = 365, -y - 4*k + n = -0*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 6:39 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 10646.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2))\/((-2)\/4). Suppose -g + 19 = n*u, 2*g - 2*u = u + 47. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -19 - (0 - (-1 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -112716*z**4 + z**3 - 3*z**2 - 1475329*z.\nAnswer: -1352592*z**2 + 6*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-3))\/((-85)\/30 + 3). Let u(o) = -o - 6. What is u(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 12 (b) 6 (c) -3 (d) 5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124808 + -81921. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1333 and 3836374?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/17)\/g)**(1\/8))**(5\/8) assuming g is positive.\nAnswer: g**(-75\/1088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195588 - 195588 + 25*w.\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 7. Let s be h(5). Let j be s - 3\/(-1 - -2). Solve g = -2*r - 6, r + j*g - 4 = 3*g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 11027498 and 22054997\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - (-1*sqrt(7200) - sqrt(7200) - sqrt(7200)))\/(2*sqrt(1210) + sqrt(1210)).\nAnswer: 37*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (9 - -56 - 30)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a microgram in nanograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/4*(-12)\/10. Let z(d) = d**2 + 6*d - 5. Suppose 0 = 8*f + 6 + 50. Let w be z(f). Solve 0 = q + w + p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2709, 5256, 7803?\nAnswer: 10350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5350030)\/3500 + 1\/(-2). Let j = p + 1528. Find the common denominator of 39\/25 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6323.82 to the nearest 100.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -230287955?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -275*i**2 + 700*i.\nAnswer: -550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 61 - 27. Is 57\/2*o\/33 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/7 - 7134\/(-21). Suppose -130 = -10*n - g. What is the tens digit of (4\/(-8))\/((n\/(-1422))\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*j, 385 = 60*f - 59*f + 5*j. What is the remainder when f is divided by 76?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338748?\nAnswer: 2, 3, 28229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -261 + 649. Calculate the remainder when 1165 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4755, -5845, -6935, -8025?\nAnswer: -9115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5233 - -5495. Solve x*j - 250*j = 36 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.634 - -0.58. Let x = i - 0.046. Let l = 5 + -3. Which is the closest to 1\/2? (a) l (b) -1\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 18 = 3*b, -b - 112851 = -3*h - 112829 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -222786*d**2. Let m(c) = c - 265. What is m(y(j))?\nAnswer: -222786*j**2 - 265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 0*y + 25*y**3 + 14*y**3 + y + 6 - y**2 - 49*y**3. What is the hundreds digit of x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56694 - -57423.06. Let j = c + -727. Round j to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6*f**3 - 2*f**2 - 3*f**2 + 3*f**2)*(5*f + 7*f - f).\nAnswer: 66*f**4 - 22*f**3 - 22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 839 = 5*x, 2*x = 3*o - 10 - 621. Let c = o + -206. Which is bigger: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffafffffff. Give prob of sequence af.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 4)*(-31*k + 1 + 114*k - 53*k)*(4*k**3 - 2*k**3 + k**3).\nAnswer: 90*k**4 + 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547129299?\nAnswer: 3, 182376433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.6 - -24. Which is the third smallest value? (a) g (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 22*u**2 - 457*u - 73. What is r(-35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6623037 - 6623179.00123. Let f = -142 - r. Round f to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 10 = -3*l. What are the prime factors of 2 + 0\/l + 17?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*g = 25. Let a(i) = -i**3 - 8*i**2 + i + 11. Let d be a(-8). Let q be (-1 - 2)*(-5)\/d. What is the highest common divisor of q and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/o**(-3\/2))\/o*o*o)\/(o*o**(1\/2)))**33 assuming o is positive.\nAnswer: o**99","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 4:27 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359 = -4*n + 95. What is the units digit of -14*(n\/14 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 + 2*j**3 - 2 - 460*j**2 + 466*j**2.\nAnswer: 2*(j - 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2538\/376*22\/99)\/(-66)\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 2*g + 6 = 0, -10*o + 4*g - 18 = -9*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-154)*(-5)\/(-10)\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(4\/5)\/s)\/s**(-3\/8)*(s\/(s\/s**(2\/11)))**(-36\/7))**(-10\/9) assuming s is positive.\nAnswer: s**(2341\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 2)\/(6\/(-24)). Put 0.4, a, 0, 2\/11 in descending order.\nAnswer: 0.4, 2\/11, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 27*j**3 - 4*j + 2*j + 17*j - 9*j**2 - 1.\nAnswer: -3*(j + 1)*(3*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 5*u + 0*u)*(6*u**2 + 2*u - 2*u) + u**2 + 3*u**3 - u**2.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/104*-8)\/((-18)\/(-675)*1)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o**3 - 2*o**2 - 11*o + 47. Calculate x(4).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1000)\/(-100) + 110\/200*-10?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/8 + 903*a**2\/8 - 89445*a\/8 + 2922849\/8.\nAnswer: -3*(a - 123)*(a - 89)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/16312 and -101\/7984?\nAnswer: 16279376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-114)\/95)\/((-1)\/(-5)). Let z(f) = 2*f**2 + 4*f - 11. Let q be z(w). Let u = q - 37. Solve u*g + 9 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8856382?\nAnswer: 2, 4428191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + y - 4 = s, -2*s + 2*y = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, o: 10}. What is prob of sequence ooso?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 908150 and 25830.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 17664?\nAnswer: 1\/5888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0535976 + 0.1336045. Let c = u + -0.08. What is c rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n**2 - 12*n - 4. Suppose 2*b - 7*b = -4*o - 9, b + 3*o = -2. Let c(i) = -i**2. Let a(u) = b*h(u) + 4*c(u). What is the tens digit of a(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-304 + 5*t + 304)*(-4*t - t**2 + 4*t) to the form l + n*t**3 + j*t + v*t**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/5040*-165*(-10)\/11?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1\/11, -173\/7, 1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + o - 2)*(2 - 4 + 1)*(-2*o + 2*o + 3*o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15 - -12 - (-17 + 0\/6). Solve -q*z = 50*z - 512 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-14\/9))\/r*r*r*(r**0*r)\/r*r**25\/(r**(1\/6)*r*r))**(-43) assuming r is positive.\nAnswer: r**(-20425\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -23.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, m: 2, f: 4}. Give prob of picking 3 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.24, -2\/7, 1\/4 in descending order.\nAnswer: 1\/4, 0.24, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963 less than -316?\nAnswer: -2279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3*(sqrt(3888) + -2) + sqrt(3888) + (1 + sqrt(3888))*3 - (4 + sqrt(3888)*3 + -5)))**2.\nAnswer: 864*sqrt(3) + 62217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rywrlrrylrzzi. Give prob of sequence lr.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3758515 rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33485 is divided by 364?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -2*o**2 + 1\/3*o**3 - 1\/48*o**4 - 4 - 11*o. Let g(w) be the first derivative of t(w). Find a such that g(a) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 371, -4, -5 in decreasing order.\nAnswer: 371, -4, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(-17)*u)*u**(-2\/33)*u assuming u is positive.\nAnswer: u**(559\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 226? (a) 0.2 (b) 0.11 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6050) - 4*sqrt(6050))**2 - ((sqrt(80) - (sqrt(80) - (sqrt(80) + (sqrt(80) - (sqrt(80)*-6 + sqrt(80))))))\/sqrt(10))\/sqrt(4).\nAnswer: -7*sqrt(2) + 54450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5\/3)\/(i*i*i**6)*i**4\/(i\/i**(-4)) assuming i is positive.\nAnswer: i**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**2 - 4. Let h(t) = -3*t**2 - 13 + 18*t**2 + 4. Let m(p) = -4*h(p) + 9*n(p). Let l(o) be the second derivative of o**4\/4 + 7*o. Calculate l(m(r)).\nAnswer: 27*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -922*l + 8316. Let c be r(9). Solve 15*u = c*u - 21 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/280)\/(((-300)\/(-35))\/4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00137216 to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 792300 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4\/11 + 456*d**3\/11 + 28172*d**2\/11 + 248520*d\/11 + 594050\/11 = 0 for d.\nAnswer: -109, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g + 44 = 0. Which is bigger: g or 21?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*w**2 + 13 + 39*w**2 + 19*w**2 - 24 + 11.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/16 - 14\/8. Calculate the least common multiple of 20\/3 - (-7)\/21 and 4\/(1\/s + 1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 740 - (-5)\/15*-18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60363936 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*f - 8*r - 5, 3*f - 3*r = -15. List the prime factors of (2\/(-3))\/(f*4\/432).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01569*0.1\nAnswer: 0.001569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1036424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 x when three letters picked without replacement from {h: 4, x: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1811*k - 172. Let w be z(3). Is w <= 5261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 63. What is the closest to 2\/3 in -4, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.3 + 14. Let h = g + -2.1. Which is the third smallest value? (a) 2\/13 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127\/3*g**3 + 19\/3*g**4 + 361\/3*g**2 + 1\/3*g**5 + 448\/3*g + 196\/3 = 0. What is g?\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 21*i**2 + 4*i + 2. Let k be d(0). Solve k*w + 24 = 4*n, 3*n = -23*w + 26*w + 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*x - x**3 - 2*x**3 + 0*x**3 wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -81. Let o = w - 15. Determine v, given that 4 - v**2 - 7 - 1 + o - 2*v = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38214 and 215002?\nAnswer: 21285198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24*5*(-4)\/(-30). Solve -a = 3*a - m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 - -11798797408.\nAnswer: 11798797410.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*b**2*l*s**3 + b**2*l - 2*b**2*s**3 + 3*b**2 - 2*l*s**3 wrt l?\nAnswer: -21*b**2*s**3 + b**2 - 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -613 (base 8) to base 13.\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 340313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 23 = x, -460*x + 5 = -461*x - p. Let z = 4 + -1. Sort 0, x, z, 7 in decreasing order.\nAnswer: 7, z, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 148 in -2, 4\/5, -1\/3, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 3, -108, 5, 30, 6 in decreasing order.\nAnswer: 30, 6, 5, 3, 1, -2, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-4) + 6 - 1. Let k be (-3 + 0)*(-1 + 0). Let i = k + d. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 220\/6*(1 + 2). Let u = 803 - 765. Let p = c - u. Is p a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 713485 or 713488?\nAnswer: 713488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 27*c**2 - 82*c. What is the tens digit of b(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2167 and 1493?\nAnswer: -3235331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctghmgtcgxt. Give prob of picking 1 h, 1 t, 1 c, and 1 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.06 to one decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -11*a**4\/6 - a**3\/6 + 445*a - 1. Let p(j) = 5*j**2. Calculate p(w(v)).\nAnswer: 2420*v**4 + 220*v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -4. Suppose 0 = 5*p + 4*q - 24, 5*p - t = -4*q - q. Suppose r + p*m + 23 = -2*r, 0 = 2*r + 3*m + 16. Let u(f) = -f**2 - 7*f - 1. Give u(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.07943 days in hours?\nAnswer: 1393.90632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1040 divided by 104\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19691 - 21550 = -13*b. What is the remainder when b is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5312612910.\nAnswer: 2, 3, 5, 11, 23, 31, 67, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.86 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2651 (base 7) in base 13?\nAnswer: -602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -4*s**3\/3 - 42*s**2 + 2167*s. Determine h(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 546 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950.3013 rounded to the nearest 10?\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -11398.8 and 0.\nAnswer: -11398.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((1*sqrt(1331)*3 - sqrt(1331)) + -3)*-1)**2.\nAnswer: -528*sqrt(11) + 21332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90686 is divided by 3420?\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*j, -3*j + 1 = 5*s - 11. Solve 3 = -3*n - s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41075.\nAnswer: 5, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30229332739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 70 = -0*b. Let l(r) = -r**2 - 2*r + 19. Let t be l(b). What is the common denominator of -79\/12 and 8\/700*7*t\/8?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c + 30*c - 28558 - 115106. Is 105 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 8 - -25 - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20493691 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Total of 1.7 and -234.149.\nAnswer: -232.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 34*k + 4. Let b be x(6). Let o(z) = z**3 + 18*z**2 + 27*z - 42. Is o(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c - 10, -5*w + 4*c = -150. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690120 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - 21\/14*(-166)\/3. Suppose -z + 79 = n. Suppose -3*d = 5*y - 9, 2*d - 25 = -5*y + 7*d. Solve z = 2*v + y*v - 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 30245?\nAnswer: -30235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1884)\/(-15))\/(-1*(-1)\/5) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + -4 - (-1 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b**2 + 3*b + 3. Let x(i) be the third derivative of 3*i**5\/20 - 5*i**4\/24 - 5*i**3\/6 + 68*i**2. Calculate -7*h(f) - 4*x(f).\nAnswer: -f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 288 - 246. Calculate the remainder when 79 is divided by s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5590273 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22120 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from zzppp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*i + 4*i**4 - 4*i**4 + 23*i - 5*i**5 wrt i.\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1956?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, r: 10, h: 3}. Give prob of picking 2 v.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 725354 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 53348, 104883, 156418, 207953, 259488?\n\"Answer: 51535*m + 1813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/103271?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1 + (-20 + 33 + 11)*(0 - 2 + 0))*(-772 - 107*z + 772).\nAnswer: 5350*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 203448 a multiple of 519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 220 - 1\/2*t**2 - 47\/2*t.\nAnswer: -(t - 8)*(t + 55)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1806908.\nAnswer: 2, 557, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 times -0.74\nAnswer: 0.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 7:39 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**3 - 70377*w**2 - 422343*w - 633555 = 0.\nAnswer: -3, 23465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -180939300 rounded to the nearest 100000?\nAnswer: -180900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 190.\nAnswer: -7\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 6*w + 8*w - 2)*(-6*w**2 + 3*w**2 + 2*w**2) in the form r + f*w + o*w**3 + k*w**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68*z**3 - z - 67 wrt z.\nAnswer: -408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3241127, 3241129, 3241131, 3241133, 3241135?\n\"Answer: 2*m + 3241125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eerszhzzmserremzehre. Give prob of picking 1 m and 2 s.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.344921 rounded to three dps?\nAnswer: -0.345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2\/3, 0.04, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -3 + 8 + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-5))\/((-12)\/(-80)). Let x be 0\/6 - y\/(-2). Let a(j) = j**2 + 2*j - 2. Let k be a(x). Solve 4*t + 6 + k = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lacag. What is prob of picking 1 l, 1 g, and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61102 and 347880.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21032, 21045, 21074, 21125, 21204?\nAnswer: 21317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 16*i + 208. What is the tens digit of q(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 247011*o**2 - 110629?\nAnswer: 494022*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115257 and 212386?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbm when three letters picked without replacement from mmmmbmmbmmmmmmbm?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**2 - r**2 - 6*r**2)*(-75*r + 46*r**2 + 18*r**2 + 70*r).\nAnswer: -832*r**4 + 65*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5*sqrt(88)*1 + sqrt(88))*6)\/((sqrt(8) + sqrt(40)\/(sqrt(5)*1))*5).\nAnswer: -48*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -16. Suppose 2*p - 3*w - 17 = 0, 0*p + s = 3*p - 3*w. What is the remainder when 19 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/10)\/(8\/20). Suppose -z = -u*d - 17, -4*z - 3*d + 8*d = -33. Find the third derivative of 2*k - 3*k**3 - 7*k**2 + 4*k**z - 2*k wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 2*b = -9, -10 = -717*w + 713*w + 2*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68028 is divided by 353.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -65*z + 5*z**2 + 145*z - 75*z + 1. Let x(o) = 2*o**2 - o + 2*o**2 - 5*o**2. Give -v(k) - 4*x(k).\nAnswer: -k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1212 = -11*m. What are the prime factors of m?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11*y + 94. Give f(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*-2*4\/20. Suppose -5*h + 6 = -m*h. Let o(u) = u + 3*u + h*u - 4*u. Let v(w) = w. Calculate 2*o(y) - 3*v(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417890*h - 290 = 417948*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -6, 1 in ascending order.\nAnswer: -6, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 283*j**2 - 121 + 795 - 166*j**2.\nAnswer: 117*j**2 - 2*j + 674","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 9, -1, -5.\nAnswer: -9, -5, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44043 (base 7) in base 12?\nAnswer: 6453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + 3 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2 + 6*p + 2. Let c be b(5). Let k = -64 - c. Let u(a) = -3*a - 9. Let j(n) = 1. Let m(w) = k*j(w) + u(w). What is m(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -100, 5, -2, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22029914?\nAnswer: 2, 859, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*r - 15 + 8 + 2 + 5.\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 121*h + 171. What is the hundreds digit of c(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001100 + 202?\nAnswer: 2002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 1, a: 5, r: 1, e: 1}. What is prob of sequence rp?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 619159.9 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5709291?\nAnswer: -5709291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2. Let f = -428 + 426. Let n be 1\/f + (-144)\/160. Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67\/3 + -22. What is the nearest to -2 in l, 9, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**3 - 2*h**3 - h**3 + (-3*h**2 + 0*h**2 + 5*h**2)*(1 - 2*h - 1) + 2*h**3 + 0*h**3 - 5*h**3 to the form z*h**3 + k*h**2 + i + a*h and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, e: 5, a: 2, m: 3, g: 8}. What is prob of picking 1 m and 1 l?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*o**2 - d*o*y + d*y - o**2*y - 497643*o**2 - 43*o*y + 2*o - 92*y + 27 wrt o?\nAnswer: -2*d - 2*y - 995286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3458654427?\nAnswer: 3, 199, 5793391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 2. Let z be j(-6). Let v = 12 + z. Solve v = -w - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 3*l + 12 = 0, 10 = 4*v - l. Let k be (3 + -3)*2\/v. Let z = 28 + -82\/3. Does k = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + 30?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-12) - (-65)\/(-105). Which is the nearest to 2? (a) 9 (b) 1 (c) -6 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/s**(-5\/6))*s*s**(-3) assuming s is positive.\nAnswer: s**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*y + 45 = v, -5*v + 80 = -y. Suppose k + 2 = 0, 2*a - v - 3 = 2*k. Solve -4*g = -a*g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -40*n**2 - 38*n + 127577. Determine s(56).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-24))\/((-2)\/28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 185b3?\nAnswer: 185b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 15937*l + 191421. What is x(-12)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17381 < 28524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 491*g - 309347. Calculate m(630).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**3 - 29*i**3 + 3*i + i**2 - 2*i. What is the units digit of a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 992438 + -637689. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 0. Let b = 14 - 27. Let g = a - b. Sort g, -1, 0 in decreasing order.\nAnswer: 0, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1498919 micrograms in nanograms?\nAnswer: 149.8919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 1)*(v + v**2 - v) + (-3*v - 22*v + 3*v)*(-6*v - 11*v - 5*v) to the form b*v + c*v**2 + s and give c.\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1939 is divided by 635?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -280, -1071, -2382, -4207, -6540, -9375, -12706, -16527?\n\"Answer: v**3 - 266*v**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven quarters of a microsecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**5\/11 - 41*d**4\/11 + 355*d**3\/11 + 1321*d**2\/11 + 128*d + 44 = 0?\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x + 4*l + 11, x = 5*l. Suppose 0 = -8*g + x*g + 27. Suppose -18*k + 51*k - 165 = 0. Solve g = k*v + 29 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 6*n**3 + 9*n**3 + 13*n - 9*n**3 - 8*n.\nAnswer: 6*n**3 + 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.71*-207585\nAnswer: -147385.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*o + 20 + 10 = 0, -2*o - 4 = 4*k. Solve k*t = g, -2*g + 5*t = -5*g + 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 y when four letters picked without replacement from iyiyyyiyiyii?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -18. Suppose 3*y = j + u, y - 2*y - 7 = 5*j. Suppose -105 = -y*h - 4*m, -5*m - 6 = -h + 10. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**4 + 3*b**4 - 4*b**4)*(2*b - 3 + 3).\nAnswer: -10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -136, -172, -222, -292, -388, -516, -682, -892?\n\"Answer: -d**3 - d**2 - 26*d - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(2\/5)\/n))*n\/(n\/(n**(-1)*n)))\/(n**4)**(-6\/31))**32 assuming n is positive.\nAnswer: n**(864\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (3 + 7) - 3) + -1 + 3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z + 31*z - 63 = 0. Let b be z*((-45)\/12 + 4)*-4. Suppose 0 = 6*j + 39 - b. Solve -1 + j = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/2956 and -34\/8129?\nAnswer: 32516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9204916*c**2*k + 1199299*c**2 + 2*c - 4 with respect to k.\nAnswer: 9204916*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**2 + 4*t**2 - 84*t**5 + 0*t**2 + 75*t**5 - 43*t wrt t?\nAnswer: -180*t**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -409 - -8961\/22. Calculate the common denominator of t and 133\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63450 less than or equal to -63451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -13 - 8. Calculate the highest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-117)\/(-2))\/(-13))\/12.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/8 + 11*h**2\/4 - 65*h\/8 - 169\/2.\nAnswer: -(h - 13)**2*(h + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 348 and 144?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -355*k - 495 = -358*k. What is the remainder when k is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*t - 2. Let b be (15\/(-20))\/((-3)\/24). Let m = t + b. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 145 and -3.\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4944667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 457380*v**2 - 10708766 wrt v?\nAnswer: 914760*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**2 - 5*b - 1. Let a be g(4). Suppose -9 = 5*u - a. Calculate the remainder when 18 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o + 6 = 0. Suppose o*b - b = -3*i + 124, -4*b + 109 = 3*i. Let p = -12 + i. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oawdwrtwatarawwwwaa. What is prob of sequence oar?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, r: 2, y: 2, v: 1, d: 1, u: 1}. What is prob of sequence rd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 4.345348.\nAnswer: 6.345348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 2733361?\nAnswer: 2733356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 137 + 29. Let j be 1\/(-3*1\/q). Suppose 5*s + 5*t - 60 = -0, j = s - 3*t. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -282\/11 in 3, -0.1, 56.48?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44736 and 1408?\nAnswer: 984192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((12\/(-9))\/(500\/125)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1\/8)*z)*z)**(-9)\/((z\/z**(3\/28))\/(z\/z**(-8\/11))))**(-36) assuming z is positive.\nAnswer: z**(51507\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -233840780*x. Let b(k) = -2*k. Determine b(t(m)).\nAnswer: 467681560*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1596 + 1596 - m**2 + m + m**3 in the form v*m + p*m**2 + d + z*m**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 46.1. What is the closest to 1.5 in 0.3, -3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3057, -3074, -3101, -3138, -3185, -3242?\nAnswer: -3309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 6) to base 5.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -555*k + 3. Let b be u(-15). Let d = b - 935. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 2136*l**2 + 10596*l - 8464.\nAnswer: 4*(l - 529)*(l - 4)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a kilogram in grams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -2*x + 3*k, 4*k - 12 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -25*r - 10. Let i(m) = 8*m + 3. Let k(z) = 6*g(z) + 17*i(z). Differentiate k(s) with respect to s.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2\/3, -3\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*j + 34*j - 17*j)*(1 - 2*j + 2*j + 2*j).\nAnswer: 120*j**2 + 60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88*(-8)\/(-192)*-3*1\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*7\/(42\/(-4)). Let u = 7 - c. Solve z + 0*z = -3*v - 18, 3*v = 4*z - u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5)\/n)**(-2\/101))**49 assuming n is positive.\nAnswer: n**(686\/505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b3d + 1?\nAnswer: 1b3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317220 + 20*v**3 + v**3 - 158613 - 158607.\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10350, 10319, 10204, 9963, 9554?\nAnswer: 8935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 196*v**2 - 791*v - 8. Let f(b) = 43*b**2 - 198*b - 2. What is 2*a(s) - 9*f(s)?\nAnswer: 5*s**2 + 200*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -297*k + 300. Determine f(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663 is divided by 109.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1214*c**4*q**2 + 891*q**2 wrt c.\nAnswer: -4856*c**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*p**2 + 30*p**2 - 20*p**2 + 31*p**2 to r + u*p**2 + q*p and give u.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -13*i**3\/3 - 11. Let d(a) = -4*a**2 - a**2 + 9*a**2 - 6*a**2. What is f(d(x))?\nAnswer: -52*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 28*h**2 + 339*h - 954. Determine d(-11).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/4 (b) 0.05 (c) -1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 98*x**2 + 15835*x + 2164. Give o(-184).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 6 + r**2 - 12 + 1 + 5*r. Let q be k(-6). Is 30 a factor of (-878)\/(-10) + q\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281706 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssxxxxssss. What is prob of sequence xxxs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 201955 and 650.\nAnswer: 2019550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 104.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -36 - -35 - 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1839 = -4*x - 5*w, 4*x + 0*x = -2*w + 1854. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4023, -4008, -4013, -4050, -4131, -4268, -4473, -4758?\n\"Answer: -2*y**3 + 2*y**2 + 23*y - 4046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 308254082 to the power of 1\/2, to the nearest integer?\nAnswer: 17557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -6?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + 27\/(-6) + 3\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-3))\/((-2)\/24). Suppose 0 = 5*z + 3*v - 3, 0 = 3*z - d*z - 2*v - 5. Suppose -z*o + 61 = -50. What is o rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92 - 38) + -156 - -78.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, -87, -5, -12, 5, -4 in ascending order.\nAnswer: -87, -12, -6, -5, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97832747 is divided by 16305457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i - 4*i + i + (0 - 4 + 2)*(2 - 2*i - 2) - 41 - 36 + 81 + i.\nAnswer: 6*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*j**2\/3 - 13647280*j\/3 - 727532232025\/3.\nAnswer: -(8*j + 852955)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*k + 16*k - 145*k - 145*k in the form r + o*k and give o.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -677 - -682. Let k = -5.87 - -7.87. Which is the fourth biggest value? (a) -2 (b) x (c) k (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3*q = 7*h - 29, 4*h + q - 13 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*w + 4 = 0, w + 8 = 5*p - w. Let f = 0.02315 + -1.02315. Sort 7\/5, 0.3, f, p in descending order.\nAnswer: p, 7\/5, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -81, -102, -123, -144, -165?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32893 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**2 + 3*m - 2. Let q be i(2). Let u = -2 - q. Calculate the least common multiple of u and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auaggugaaagubuaaabu. What is prob of picking 3 u and 1 b?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 5)*(1 - 2 - 1)*(-9*f**2 - 3*f**2 + 6*f**2) to the form u*f**2 + x + s*f and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1119b - 4?\nAnswer: 11197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7201?\nAnswer: 19, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 12*x**2. Let i(u) = 3*u + 1 - u - 1. Give w(i(c)).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -125, -152, -137, -68?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32535255?\nAnswer: 3, 5, 59, 97, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*b = 71*b + 3570. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:22 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 6*s**2 + 4*s - 16. Let y be n(-7). What is the second derivative of 4*i - 17 + 3*i**2 - 919*i**5 + 915*i**y - 2*i wrt i?\nAnswer: -80*i**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3348.827 decades in millennia?\nAnswer: 33.48827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/(-3) + -9)\/(6\/(-63)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28334401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, j: 1, u: 1, m: 2, f: 2, d: 1}. What is prob of picking 1 u and 1 r?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 4:10 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j - 33. Suppose -45 = 3*k - 3. Let l be d(k). Which is the smallest value? (a) l (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 6:31 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2020, 6009, 12662, 21979, 33960, 48605?\n\"Answer: 1332*x**2 - 7*x + 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*t - 20*t + 11329 = 441*t - 215 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.2, 0.3, -3\/124?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 10 = -3*w, 164*w - 5 = -b + 165*w. What is the highest common divisor of b and 1810?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/20 and -65\/514.\nAnswer: 5140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + -4. Let u be ((-30)\/9)\/((-6)\/p). What is the closest to 0 in 0.2, u, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**3\/6 - 4*k**2 - k. Let r be s(-6). Find the common denominator of -53\/11 and (62\/6)\/(r\/(-2)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172 divided by 4\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -405*r**4 - r**3\/3 + 272*r**2 + 1773. Find the third derivative of o(q) wrt q.\nAnswer: -9720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**7*f)\/((f\/f**(-6)*f)\/f))**24 assuming f is positive.\nAnswer: f**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5 - 2*d**4 + d**3.\nAnswer: d**3*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5320 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2. Let k(m) = 2*m**4 + 4*m**3 + 2*m**2 + 2. Let a(u) = k(u) + l(u). Determine r so that a(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.103912108 to three dps.\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, z: 2, m: 4, e: 2}. What is prob of picking 2 e and 1 s?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -1002122?\nAnswer: -1002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 702 + 714. Calculate the remainder when 634 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 4, -2\/17, 195, 340 in increasing order.\nAnswer: -0.4, -2\/17, 4, 195, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z. Let b(i) = -2901*i. Calculate v(b(f)).\nAnswer: -2901*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 21*r - 7. Let g(w) = 21*w - 6. Calculate -4*g(p) + 3*v(p).\nAnswer: -21*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**3 + 2*c - 10. Let m(t) = -t**3 + 67*t**2 - 68*t + 132. Let p be m(66). What is s(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53574.59 rounded to the nearest 100?\nAnswer: -53600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 9*r**7\/70 - r**6\/120 - 47*r**5\/60 - 31*r**2 + r. What is the third derivative of n(k) wrt k?\nAnswer: 648*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, 0, 1\/66, -0.1, 1\/6 in ascending order.\nAnswer: -0.1, 0, 1\/66, 1\/6, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46696201*w**2 - 116649199 wrt w?\nAnswer: -93392402*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 14) in base 13?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from botsd. Give prob of sequence bs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1161 - d - 1184 + 2352. Let f(p) = 19*p - 1. Let k be f(1). Suppose -j = 2*j - k. Give c(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 365?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 8:32 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 334, 668, 1002, 1336, 1670?\n\"Answer: 334*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31381969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*d + 10*d - 4*d)*(2 + 1 - 2).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 386*v + 31906. Determine p(-70).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -18811*x**2. Let a(q) = 1228*q. Determine a(p(j)).\nAnswer: -23099908*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 242*o + 240*o = 246, 2*o - 153 = -3*i. Calculate the remainder when 546 is divided by i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 912 is divided by 257.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -92 from 2841.59.\nAnswer: 2933.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1931655 is divided by 2949?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 403.2439 + -1.0839. What is u rounded to zero dps?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - t = 39*l - 591, 26*l - 57*l + 24 = -30*l - 3*t for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q. Let g(y) = -2779*y + 2. Determine x(g(c)).\nAnswer: -5558*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + 3269 - 17819 = 0. Let u = -542 - d. Calculate the smallest common multiple of 108 and u.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c - 68. Suppose -4*b + c + 31 = 0. Let a = 22 - b. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 1232*o - 332405. What is z(399)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 2*x - 30. What is the closest to -11 in -1, x, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 38*p + 2589. Let h be y(-35). Solve -2*r - 6*v = -6*r - h, 0 = 5*r + v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1270, -2552, -3832, -5110, -6386, -7660, -8932?\nAnswer: -10202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -62, -355.\nAnswer: -355, -62, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238229.\nAnswer: 238229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4074 and 48300.\nAnswer: 4685100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.9 rounded to the nearest integer?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 505 - 1225. Is s a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 268 = -3*w, -2*p = 3*p - w + 276. Let t = -30 - p. What is the greatest common factor of 208 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17600 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 38183 - 41333. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -722, 0, 4 in decreasing order.\nAnswer: 4, 0, -2, -722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*((sqrt(171)*1)**2 + sqrt(2299)*-1 - ((sqrt(2299) + -2)*-4 + sqrt(2299))**2).\nAnswer: -102925 + 2585*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181.643 - -4.257. Let l = 185.89217 - i. Round l to 4 dps.\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, z: 2, m: 3, i: 1, p: 1, c: 1}. What is prob of sequence zc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 6*o. Suppose r - 3*r - 82 = o. Let u = -24 - r. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 348 + -157. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 56*g + 400. Determine n(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28)\/21*1 - 2950\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2353423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3499060 to the nearest integer?\nAnswer: 1871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 555259.5 months?\nAnswer: 46271.625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -218 - -204. Calculate the remainder when 125 is divided by ((-357)\/u + 6)\/((-1)\/(-2)).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 48\/168*(-7)\/(-4)*(21 - 26). Which is the smallest value? (a) 2 (b) 5 (c) h (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*-4*825\/(-7150)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -8. Let r be -2 + 1 + -1 - -2. Suppose 2*k + r*k - 10 = 0. Calculate the smallest common multiple of k and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3201781 to the power of 1\/2, to the nearest integer?\nAnswer: 1789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -4, 2\/7, -1\/142, -2\/23 in descending order.\nAnswer: 2\/7, -1\/142, -2\/23, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 0. Let p(m) = -m. What is p(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/14*7\/(-14). What is the closest to -2\/7 in -2, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f + 297 = 29*f. Suppose 5*l = 3*g - 11 + f, 5*l - 8 = -g. Factor -8 + 2\/3*a**3 - 16\/3*a + 2\/3*a**l.\nAnswer: 2*(a - 3)*(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1138*w**2 + 1138*w**2 - 714*w**5 - 12207*w**5 + 206*w**5 + (3*w - 4*w + 2*w)*(2*w**4 + w**3 - w**3).\nAnswer: -12713*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4860 divided by 20\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8686231?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 18*r + 10. Let g be l(-8). Let c be -2*(-1)\/g*-2. Let x = c - -193\/268. Sort -5, x, 1 in ascending order.\nAnswer: -5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2451 and 56305533.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -5*x - 3*b, 4*x + 3*b + 0*b = -32 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*m + 172, 0 = -3*n - 72*m + 77*m - 19 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 8*o**2 + 6*o + 6. Suppose 4*p = 7 + 69. Suppose -5*n + 20 = 5*r - 30, -r - 4*n + p = 0. What is i(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/2122 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -2)\/(54 - 70224\/1302).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 + 7*f - 18)*(1 - 1 - 7)*(2 - 2 - 2)*(-27*f + 6*f - 16*f) in the form i*f + l + v*f**2 and give v.\nAnswer: -3626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -896 = -2*u - 5*a, -u - 3*a + 373 + 76 = 0. List the prime factors of u.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/((-10)\/74)*(-224)\/(-15232) and 151\/2380?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7478\/3 - -2518. Calculate the common denominator of t and 13\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4293586 and 1584?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 2*n + 6, 9*s = 4*s + 5*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62646 is divided by 7828?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1736 - 1136. Let d = -191 + q. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 966.04434s to days.\nAnswer: 0.01118106875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 3\/7, -0.5, 0.13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 - 6*r**2 - 46 + 4*r + r**3 + 46 + r**4 to the form f + k*r + h*r**2 + z*r**4 + l*r**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41062562 or 41062561?\nAnswer: 41062561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**6\/216 - z**5\/72 - 67*z**3\/6 + 6*z**2. Let f(b) be the first derivative of m(b). Determine d so that f(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 285 - 285. Which is the third biggest value? (a) 1\/5 (b) g (c) 6\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -3*z - 21, 7*m = 2*m - 56*z + 53*z - 6 + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 2*f**2 - f**2 + (f + 0 + 0)*(2*f - f - 3*f))*(-6*f + 3*f + 0 + 1).\nAnswer: -3*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 178 + 274. Calculate the remainder when j is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117933, 118542, 120185, 123378, 128637, 136478, 147417?\nAnswer: 161970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-824)\/(-164) - 10\/(-2). Let b = a - 681\/656. Calculate the common denominator of -21\/32 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5353 + -2914. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3235917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3162441 at least as big as -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + 122?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/40*5*-22.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 23 = -o + 7, 0 = -2*o - 5*z + 7. Let j = -75 - -373\/5. Which is the smallest value? (a) j (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363 = 4*r - 2*y + 371, -27 = 3*r - 12*y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.998043nm to meters.\nAnswer: 0.000000000998043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-30))\/((-153)\/255). What is the closest to -1\/24 in b, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -645.6845 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -111571 - -6805?\nAnswer: -104766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 332 - 237. What is the remainder when n is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, 3, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 3*a - 25, 24*w + 4*a = 26*w + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -7, 2 in descending order.\nAnswer: 2, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuo when three letters picked without replacement from {u: 4, r: 2, o: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**3 + 772317*d**2 + 49714237377*d + 1043658420903 = 0?\nAnswer: -128709, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -1340?\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 h, 1 g, and 1 c when four letters picked without replacement from {y: 1, c: 1, g: 2, h: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x - 2. Let l be b(12). Suppose m = -i - 103, -l = m + 3*i + 15. Let d = m - -102. Solve 2*v = -d*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9101 divide 4715667674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b20d + -298?\nAnswer: ad55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/2984 and 19\/1865?\nAnswer: 14920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -481 > -457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfhhffffhhhff. What is prob of sequence fh?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 1. Let k(d) = -1. Suppose -31 = -6*p - 43. Determine p*k(b) - 2*n(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 27*c - 207. Let b be x(8). What is the units digit of 176273\/153 - 1\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeppppppp. What is prob of picking 3 p and 1 e?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/11 - 16278*z**3\/11 - 32562*z**2\/11 - 16282*z\/11.\nAnswer: 2*z*(z - 8141)*(z + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4 + 12*a - 12*a**3 - 16 + 93*a**2 - 79*a**2 + a**4 = 0.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**15*o**(-10)*o)\/(o**(-2\/11)\/(o*o*o**(-7))) assuming o is positive.\nAnswer: o**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -3*p**2\/2 + 597. Let i(h) = 426*h. Give v(i(b)).\nAnswer: -1278*b","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is -56.8 take away -0.004?\nAnswer: -56.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 r when four letters picked without replacement from lrlrl?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*m**4 - 3*m**3 + m**3 + 2*m - 24*m**4 + 19 in the form r*m + d*m**4 + y*m**3 + a + z*m**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 9. Suppose 0 = 3*l + l. What is the remainder when q(l) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/114 and -23\/133?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24414 (base 5) in base 3?\nAnswer: -2112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -334 and -1864?\nAnswer: 622576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439 - 439 + r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4 - 2 + 4 - 3*j. Let m be y(-4). Suppose -s = 3*g - 92, 2*s - 73 = g + 83. Calculate the highest common factor of s and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 172 = -3*b + 4*l, -3*b + 3*l = -174. Calculate the highest common divisor of b and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2901 times -8?\nAnswer: -26.3208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 1. Let s(z) = 2*z + 5. Let m be 1*11\/((-33)\/12). Let c(q) = q**3 + 22*q**2 + 21*q - 1. Let k be c(-21). What is k*s(h) + m*r(h)?\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2298068201?\nAnswer: 11, 13, 16070407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*t + 7812, 31170 = -664*i + 668*i + 3*t. What is the thousands digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -188.83 to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-36)\/(-4))\/(6\/4). Suppose f - a*f + 3*p + 382 = 0, f = 4*p + 73. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o + 3. Give j(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 - 49*s - 435. Give f(35).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 993621.9 micrograms?\nAnswer: 993621900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 29.8. Let l = -0.055 + 0.055. What is the closest to -0.1 in -4\/3, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -4, -41, -3 in decreasing order.\nAnswer: 67, -3, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -3, 1\/36?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*q + 275, 73 = b - 3*q - q. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116326 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.02505219 - -16397\nAnswer: 16397.02505219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*r + 5*c, 3*r = -3*c + 22 - 1. Let h = 6190 + -6184. Factor -h*y**2 + 0 + y**2 + r*y**2 + y + 2.\nAnswer: -(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/8 and -87\/3842.\nAnswer: 15368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 135 + 1056345?\nAnswer: 1056481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (172\/14 - 6747\/519)*(2 - (-34)\/(-20))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Let j(p) = -7*p + 4. Let w(x) = -4*x + 2. Let n(f) = 3*j(f) - 5*w(f). Determine n(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1 - 3) + -18 + (-22 - -11).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -281 + 282. What is the remainder when 31 is divided by 10\/(-4 - -5) + (2 - v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*10\/84*3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 10*h - 9. Let o(a) = -27*a + 27. Let x(l) = -17*n(l) - 6*o(l). Let z be x(-4). Solve 5*p + z = -2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*i**3\/3 - 4120412*i**2\/3 - 2472232*i\/3 + 1648160\/3 = 0. What is i?\nAnswer: -206020, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 11:19 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = -2*u. Let l(g) = 3*g**2 - 1. Let a be l(-1). Suppose -6*o + 5*o - h = -1, a*h + 19 = 5*o. Sort u, o, 4.\nAnswer: u, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p**2 + 67*p**2 + 52*p**2 + 30*p**2.\nAnswer: 140*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/8 (b) -1\/7 (c) -5 (d) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 8:52 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -26568464.1 to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + ((4 - -2) + 4 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-7))\/(((-1710)\/(-70))\/(-19)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + -1 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x + 22. Let b be a(8). Let i be ((-384)\/10)\/(-3) + (-2)\/b. Let d(r) = 4*r - 49. Let w be d(i). Sort 5, -3\/4, w, -6 in increasing order.\nAnswer: -6, -3\/4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 - -9 - 157\/3254383. Let z = -167500507447\/13863671580 - b. Let h = 1\/710 - z. What is the common denominator of h and -13\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -5. Let c be (-175)\/(-63) + 4\/18. Sort 1, j, c.\nAnswer: j, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 370 and 20?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -36*n**2 - n + 1. What is y(1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -37*i**2 - 41*i**2 + 72*i**2. Let n(f) = 48*f**2. Calculate n(x(b)).\nAnswer: 1728*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/25*(-25)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 9*b. Let z(i) = -516*i. What is z(n(y))?\nAnswer: -4644*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j - 1. Let i be y(3). Let l(u) = -u**3 + 8*u**2 + 4. Let d be l(i). Factor -o - d*o**4 - 4*o**2 - o**5 + 0*o**5 + 2*o**3 - 8*o**3.\nAnswer: -o*(o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384551.95 rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*i**2 + 29*i**3 - 38*i**3 + 60*i**2.\nAnswer: -9*i**3 + 96*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19869899 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -349*p**3 - 2*p**2 - 10*p - 4. Let o(s) = s**3 + s - 1. Let x(u) = g(u) + 2*o(u). Is x(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -654 - -1095. What is the greatest common divisor of 2107 and x?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + -4. Let k = q - -22. Let z = -28.9 - k. Which is greater: z or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l. Let j(c) = 162767*c**2 + 1. Determine p(j(s)).\nAnswer: 325534*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 149*c**3*f - 38*c**3*y**2 + 12279*c**2*f*y**2 - 2*c**2*y**2 - 2123*c*y**2 - 3*c wrt f.\nAnswer: 149*c**3 + 12279*c**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 280*v - 12344. Calculate x(44).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-10) - (-78)\/(-10). Let x be ((-6)\/b)\/((-2)\/(-8)). Is x bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75 + 17755\/201)*(-3)\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12013 (base 7) to base 11\nAnswer: -2366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 277 - 251. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-2 - 15)) + -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93674\/143 or -656?\nAnswer: -93674\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 10. Give z(-13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 5*d - 3. Let o be m(3). Suppose -4*b - 122 = 2*z, -z + 5*z = o*b + 86. Let k = -20 - b. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6 = -2*g, g - 5 = -0*n - 2*n. Suppose 3*c = -3*w - 9, -4*w = n*c - 7*c + 30. Let s(k) = k**3 + 6*k**2 + 3*k - 7. Calculate s(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*c - 174 + 53 = 0. Solve -3*f - 29 - c = -3*t, 5*f + 40 = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 96*i - 530.\nAnswer: 2*(i - 5)*(i + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*a**2 - 27 - 66*a**2 + 14*a**2.\nAnswer: -149*a**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 - 4*q - 11. Let r(i) = 13*i**2 - 15*i - 35. What is 2*r(y) - 7*t(y)?\nAnswer: -2*y**2 - 2*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -411904 + -0.3.\nAnswer: -411904.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 104868 (base 13) in base 3?\nAnswer: 201101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-15) - (-24)\/(-10). Let g = 42.66 + -42.26. Let o = 148 - 152. Which is the closest to 2\/7? (a) o (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, -4, -14 in decreasing order.\nAnswer: -3, -4, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-5 + 6) - 1. What is the greatest common divisor of 86 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 136440 to the nearest 1000.\nAnswer: 136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 143, 373, 695, 1109, 1615, 2213?\nAnswer: 2903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k**4 + 4 - 11*k**4 - 3*k**2 + 4*k**2 to l*k + v*k**4 + n + f*k**3 + p*k**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -16845.085 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 1de3?\nAnswer: 1de7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12*d - 16 = -15*d, 5*y - 2*d = -18. Let h be 43\/y + 1\/(2\/4). Which is greater: h or -21?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**3 + 93772*y**2 - 547646880*y - 22611428496 = 0.\nAnswer: -41, 11742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.08 (c) -10625\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25539?\nAnswer: 3, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/692 and 73\/161124.\nAnswer: 27874452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.48664 millennia to months.\nAnswer: 617839.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-1935)\/(-20))*(-170)\/340?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 781499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*w - 14 - 0, -v + 2 = w. Let f = 1 + v. Suppose -1\/3*l**2 + f*l + 0 = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276, -280, -284, -288, -292, -296?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245587, 245577, 245571, 245569, 245571?\nAnswer: 245577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86 by -4.\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -4\/7, -0.03, 4 in decreasing order.\nAnswer: 4, 1\/3, -0.03, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*h + 271, -8*m + 6*m = 2*h - 186. What is the remainder when h is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -29 - 37. Suppose 0*n + v = 3*n. Suppose -4*i + 2*b = -7*i + n, -2*b = 2*i - 6. Solve 0 = 5*s + i + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 71 = 34. Suppose -695 = -y*z + 1405. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000324158334 rounded to 6 decimal places?\nAnswer: 0.000324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1316, -1356, -1396, -1436?\n\"Answer: -40*q - 1276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 925304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6216 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 7:04 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5*h = -33, 5*y + 15 = 39*h - 38*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 768 (base 14) to base 11\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -859 + 861. Let a(v) be the second derivative of -1\/9*v**u - 1\/9*v**3 + 0 - 1\/18*v**4 - 1\/90*v**5 + 17*v. What is q in a(q) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120383 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32\/15 + -9\/5. What is the third biggest value in -1\/2, 1\/12, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*v. Let q(i) be the third derivative of -2*i**2 - 1\/105*i**5 + 0*i + v*i**4 + 0 + 8\/735*i**7 + 5\/1176*i**8 + 1\/420*i**6 + 0*i**3. Factor q(u).\nAnswer: 2*u**2*(u + 1)**2*(5*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**3 - 3*a**2 + 4*a - 50. Let q(g) = 16*g**3 - 16*g**2 + 21*g - 249. Give -2*q(p) + 11*s(p).\nAnswer: p**3 - p**2 + 2*p - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 7*q - 3. Let c be u(6). Suppose -c*z = 4*x - 6, -3*z - z = 2*x + 2. Is z at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -10*r + 2. Let o(j) = -22*j + 245. Give -o(y) + 2*t(y).\nAnswer: 2*y - 241","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/12 - (-405)\/(-12). Let w = n + 47. What is the highest common factor of 39 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 235 + -152. Find the common denominator of 71\/4 and (-10)\/20*v\/(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 76?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82850 and 4.\nAnswer: 165700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-5))\/2 - 3592363\/(-1589115).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/2*2\/(-12). Let m = 0.002 - 30.402. Let a = -30 - m. What is the biggest value in d, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 103 = -18*h. What are the prime factors of h?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -146 - -149. What is the nearest to -0.4 in -3, 2, 0.11, j?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-4))**(11\/3)*c**(3\/4)*c\/c**(-6) assuming c is positive.\nAnswer: c**(313\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414642739.\nAnswer: 7, 59234677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a - -356?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25036 - -12274. Let z = v + 8461. Let d be 2\/(2*-1) - z. What is d rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) 18\/29 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 26 - 26*h + 7\/6*h**3 - 1\/12*h**4 + 3*h**2. Let k(c) be the first derivative of q(c). Give k(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -818*d**3 - 3*d**2 + 6*d + 323. Let y(f) = -1636*f**3 - 7*f**2 + 14*f + 648. Let p(g) = -7*x(g) + 3*y(g). Differentiate p(t) with respect to t.\nAnswer: 2454*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -463 (base 11) to base 12\nAnswer: -3a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260 (base 7) to base 12.\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*f**2 - 36*f - 14*f**2 + 67*f - 31*f.\nAnswer: 91*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**8\/1680 - c**6\/180 - c**3\/2 + c. Let m(v) be the second derivative of z(v). What is the third derivative of m(f) wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svtevkk. Give prob of picking 1 t and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8434911g to tonnes.\nAnswer: 0.0000008434911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-62))\/((-218)\/(-4)). Let f = 111487\/33790 - s. Find the common denominator of 56\/5 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 6*s**2 + 6*s + 3. Let m(z) = z**3 - 7*z**2 + 2. Let f be m(7). Suppose -3*w - 10 = -2*t + w, -3*t - f*w = 25. Determine n(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 + -106. What is the greatest common divisor of 124 and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**5\/12 - k**2. Let r(c) be the second derivative of -c**3\/6 + 6*c. Determine j(r(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.42 + -31.42. Let n = 30.99999958 + w. Round n to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*m - 1 + 3, 3*k - 3*m = 12. Let x be 24\/(-9) - -7 - k*2. What is the nearest to 3 in -2\/11, 3, x, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - 4) + (-6 - -2) + 4 + -12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/1)\/2 + 2. Let o be (-1)\/(-2) - ((-772)\/8 + 0). Suppose 2*r = 5*l + 98, a*r - o = -2*l + 15. Calculate the remainder when r is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -278.20595862 - -157.2059527. Let g = 121 + p. What is g rounded to 7 dps?\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 4. Suppose -4*f + 11 = -j*y - y, -3*y + 4*f = 33. Let k(m) = -m - 9. Let b be k(y). Solve 0 = -5*h, b*h = -s + h + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 + 114 = k. Is k equal to -28\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -9815, -2 in decreasing order.\nAnswer: -2, -7, -9815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w - 7. Let x be y(-6). Suppose -27*u + x*u - 88 = 0. Find the third derivative of -7*r**2 + 27*r**2 + u*r**4 + 6*r**2 wrt r.\nAnswer: 264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 1 - (-1275)\/(-850)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 + 2*p**2 + 11*p - 2. Let d(g) = g**2 + g - 1. Determine -a(l) + 2*d(l).\nAnswer: -2*l**3 - 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39065, 78062, 117063, 156068, 195077, 234090?\nAnswer: 273107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 565 = -5*s, 2*s - 235 = 4*s + l. Let x be (s\/84 - -1)*-9. Factor x - 60\/7*w + 15\/7*w**3 - 6\/7*w**2.\nAnswer: 3*(w - 2)*(w + 2)*(5*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 38 = -13. Let w(v) = 3*v**3 - 56*v**2 - 51*v + 44. Let z(p) = p**3 - 19*p**2 - 17*p + 15. Let k(t) = s*z(t) - 6*w(t). Is 11 a factor of k(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.06544\nAnswer: -0.13088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**5 + 0*z**5 + 6*z**5 + (2 + 1 - 4)*(-4*z**5 + 10*z**5 - 11*z**5).\nAnswer: 7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 542, 1144, 1800, 2504, 3250?\nAnswer: 4032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k + 3 + 60*k - 7*k. Let t be u(1). Suppose -3*z = -6*z + t. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.210371842 rounded to five dps?\nAnswer: -0.21037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 4*u - 50925*u**2.\nAnswer: -50925*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3090 + -3087. Which is the third smallest value? (a) -0.071 (b) g (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1420.9 + 1481. Let f = c - 60. What is the fourth smallest value in -3, f, 1\/4, -2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1)\/(22\/(-297)*-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2599 times -8?\nAnswer: 20792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2115967\/54 + 39183. Let g = 435077\/30 - 14497. Calculate the common denominator of o and g.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.62 and 43144128089.\nAnswer: 43144128089.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 6*p + 4. Let u(j) = j - 9. Let o be u(11). Let x be (o - 1)*(-5 + -1). Calculate the remainder when 9 is divided by n(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 3*a - 5\/2*a**2 - 10. Let q(v) = 1. What is -3*q(b) + w(b)?\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (-85 + 149 + -47 + 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112407983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 1 - (20 + -63 + 50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -977640, -977638, -977636, -977634, -977632?\nAnswer: -977630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 16.904. Round s to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 2:51 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 24*l**2 - 48*l - 56. What are the prime factors of h(19)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 298.868 - 295. What is c rounded to one dp?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 61574 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 28413153 * -0.4\nAnswer: -11365261.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1012?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 4. Let v(z) = z**2 - 3*z - 4. Calculate v(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2478 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v + 9*v - 12 - 12*v - 24. Let o be r(13). Solve 0 = -o*a - a - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16560 is divided by 264?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-80)\/14 - 2\/7. Let b be 6\/4 + (-3)\/g. Find the first derivative of -o - 2 - o**b + o wrt o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 7. Let n = -0.05 + 0.95. Let r = 5.9 - n. What is the closest to 0.1 in t, -1, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011 (base 2) to base 16.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1924 (b) -14 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -528952*t. Let s(b) = -2*b**2. What is w(s(v))?\nAnswer: 1057904*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3090878?\nAnswer: 2, 7, 23, 29, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71970?\nAnswer: 2, 3, 5, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 612986, 1225966, 1838946, 2451926, 3064906?\nAnswer: 3677886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(4\/(-10)) - -2. Suppose k*o = 3*o + 8. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t + 9. Suppose -3*q = -2*q - 5*u + 28, -2*q - 3*u = -t. Let f(i) = 2*i**2 + 5*i - 1. Let j be f(q). Solve -j*r - 2*r = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1091956 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -5, 15, 57, 127, 231, 375?\n\"Answer: k**3 + 2*k**2 - 9*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Let l = 7.4 - 14. Let r = -7 - l. Which is the closest to 2\/3? (a) q (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1014302354 - -563772354. Round r to the nearest 1000000.\nAnswer: -451000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**4\/5 - 3*o**3\/5 - 5*o**2 - 21*o\/5 = 0.\nAnswer: -3, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from xxxdxxxxxxxxxxxxxxxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 1294, -5, -22 in descending order.\nAnswer: 1294, 21, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 145\/15 + 4\/(-6). Let m be 26\/3 + 2\/6. What is the highest common divisor of b and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18209.953 + 18537.\nAnswer: 327.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/((-125125)\/(-42)))\/(630\/(-2730))\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**1))**(-2\/49)\/(l\/((l*l*l**(-1))\/l)*l)**(2\/13) assuming l is positive.\nAnswer: l**(-170\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2912 and 156?\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 9. Let d(y) = y. Give -6*d(b) + 2*j(b).\nAnswer: 2*b - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 72770374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 19, 22, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16572818 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -154, 14.\nAnswer: -154, -2, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 999cb0 (base 13) to base 5.\nAnswer: 1411330010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -14*r**4 - 6*r**3 + 2*r**2 + r + 7. Let q(z) = 13*z**4 + 7*z**3 - z**2 - z - 6. Let x(o) = 7*q(o) + 6*u(o). Factor x(f).\nAnswer: f*(f + 1)**2*(7*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 5*h - 4*y = -40, 0 = -3*h - 5*y + 22. Let u be h + (-2 - (-4)\/(-4)). Solve k + 19 = -5*x, 3*x - u = 2*k + 4*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38048 - -36752. Sort -3, m, 3 in descending order.\nAnswer: 3, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005225 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150 - 335454003?\nAnswer: -335454153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**2 - 30*h - 122. What is x(-5)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4. Suppose -f + 53 = 4*b, -2*b + 4*b + 2*f - 22 = d. Suppose 2*t - 53 = -0*t + v, 4*v = 5*t - 128. Calculate the greatest common factor of b and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*v + 55*v + 721 - 2625 = 0 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2*(-36)\/(-1975))\/(2\/(-10)). Let n = 4553\/16195 - u. What is the common denominator of n and -5\/6?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*a = -28, -3*d - a + 1 - 24 = 0. Let s(u) = -u**2 - 6*u + 3. Calculate s(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-733 + 736 - (11 + (2 - 1))) + -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78*q**5 - 13*q**2 + 34*q.\nAnswer: -4680*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 6*d**2 - 2*d - 2. Let a(w) = -w**3 - 10*w**2 + 2 + 11 - 15*w + 1 + 16*w - 8. Let n = 1 + -11. Let b be a(n). Calculate p(b).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16633 (base 10) to base 13.\nAnswer: 7756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333620.\nAnswer: 2, 5, 7, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67 - 2*a - 67 - 95*a**2 to y*a**2 + p*a + u and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -23\/2 (b) -5\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -0.18 (b) 1 (c) -12 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 0*r + 2*r + r + 1 - 2*r. Let q(s) = 36*s**4 - 2*s - 33. Let i(b) = -2*c(b) - q(b). Differentiate i(w) with respect to w.\nAnswer: -144*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 + w. Let y be m(1). Let q be 1\/y - (-98 - -1). Suppose -90 + 30 = -5*t. Calculate the greatest common divisor of t and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555178 to the power of 1\/2, to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 3*s**2 + s - 1. Let d be u(3). Suppose 0 = -d*w - x - 1, 9 = 3*w + 3*x + 2*x. Let l be -1 + 4 + 1 + -3. Put w, l, 9 in increasing order.\nAnswer: w, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 2*f**3 - f)*(f + 4*f + 3*f) - f**4 + 0*f**4 + 3*f**4 as b*f**3 + j*f**2 + a*f**4 + s + n*f and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682*j = -645*j + 480 + 1592 for j.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52316227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83*d**3 + 4468*d**2 + 7861184 with respect to d.\nAnswer: -249*d**2 + 8936*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 137636038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 9*c - 19. Give z(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.9*4.\nAnswer: 47.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 9:23 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/25912 and 81\/1264?\nAnswer: 51824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 1 - 13 = -3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skqkpbe. What is prob of sequence eb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3617 - (24\/(-8) + 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - -41. Let v(b) = -2*b**2 + 185*b + 2686. Let r be v(105). Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 0 + 85 + -84 + -51 + (6 - 8)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-7) + 4 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 832618134 to the nearest integer?\nAnswer: 28855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92544774?\nAnswer: 2, 3, 7, 2203447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 10*p**2 - 1966*p - 39560. Determine h(215).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -11\/3*k**2 + 0 - 42*k - 1\/18*k**4 - 4\/3*k**3. Find s, given that f(s) = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141 + 356*j + 430 - 150 - 138 to b*j + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.92563s to hours.\nAnswer: 0.023312675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 19, 452, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 0.4 (c) 492 (d) 0.1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10861 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*14\/420*((-24)\/(-9))\/(-2).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -12*l**2 - 972*l + 22. What is i(-81)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) 18758 (b) 2\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*u**2 - 46*d**2*u - 9*d*u + 3*d + u**2 wrt d.\nAnswer: 4*u**2 - 92*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 11*x**2 + 8*x - 12. Let y(u) = 13*u**2 + 10*u - 13. Determine 6*q(k) - 5*y(k).\nAnswer: k**2 - 2*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.18 - -0.02. Is 1\/12 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + 3*o**2 + 0*o**2 + o - o + 8*o**2 + (1 - 1 - 2*o)*(19*o + 27*o + 0*o) in the form m + s*o**2 + c*o and give s.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2586 + 2568 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(0 - 2 - 1)*(26 - 26 + 13*f).\nAnswer: 39*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 552301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 5*b - 100.\nAnswer: 5*(b - 5)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3*-2*sqrt(1300)*3 + sqrt(1300) + -2*(-1*sqrt(1300) + sqrt(1300)) + 4*2*sqrt(1300))*4)**2.\nAnswer: 6480*sqrt(13) + 15163209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -1\/2*p**4 + 5*p + 0*p**3 - 1 + 0*p**2. Differentiate b(i) with respect to i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1466*i - 1462*i + 149*x - 2827, 0 = 5*i - 2*x + 43 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8209*t + 4353 - 14898 = 8098*t for t.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80\/39 + -2776\/897. Find the common denominator of (-2068)\/(-84) - (-2)\/(-7) and u.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (140\/44 + -3 - 2\/11)\/1. Let a = 4 - 1. Suppose t = -4*r + 16, 3*z = a*r + 278 + 679. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v + 4*c - 15, -3*v - 3*c + 3 = 0. Let d be v*(4\/(-16) - -1)\/(-1). Are d and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/8)\/(m*m*m**16\/m*m*m*m))\/(m*(m*m*m**(-10))\/m*m**(1\/2)) assuming m is positive.\nAnswer: m**(-99\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*c = 28, -6*t + c = -t. Let m(l) = 43*l**2 - l + 1. List the prime factors of m(t).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7491330692?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (-1 + sqrt(2299))) + sqrt(475) + -4 + -4 + 2*(sqrt(76) - (sqrt(76) + 2 - sqrt(76))))**2.\nAnswer: -198*sqrt(19) + 1660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-7)\/217)*9. Let o = q - -644. What are the prime factors of o?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 12*p - 59. Let n be j(6). Let m(y) = 16*y + 14. Let b(g) = -8*g - 7. Let w(v) = n*b(v) + 6*m(v). Calculate the remainder when 28 is divided by w(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 349*p**5 - 631*p wrt p.\nAnswer: 6980*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 926520 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 575.1 and -8.\nAnswer: -4600.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, 199\/27, 3\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -12.1. Let w = 2.9 - h. Let y = -2\/103 - -109\/309. What is the closest to y in w, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17124643 and 3420.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-30))\/r*((r\/r**8)\/r*r*r)\/r assuming r is positive.\nAnswer: r**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46\/3 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (2\/20 - (-866)\/(-4))\/((-2)\/90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 29 = 89. Let j be (108\/z + 3)*(-4 + -1). Factor 0 + 3*n**j + 0*n**4 - 3\/2*n + 0*n**2 - 3\/2*n**5.\nAnswer: -3*n*(n - 1)**2*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/3, 5440\/129, 2\/7, 2\/9, 0.4 in decreasing order.\nAnswer: 5440\/129, 0.4, 2\/7, 2\/9, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + a**2 + a - 2. Let j(y) = -5*y + 54. Let x be j(10). Let o(b) = -5*b**2 + 18*b + 8. Let w be o(x). Determine i(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 133 = 2*p. Suppose -4*b = 9 - p. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 4 - -6 - -4. Suppose 2*j + 4*l - l + 21 = 0, -3*j = -2*l + 25. Let d = j + b. Solve 0 = -0*p + d*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 4*g + 0*g)*(3*g**2 + 0*g**2 - 5*g**2)*(-27 + 9 - 13) + 3*g**3 - 5*g + 5*g to the form f + b*g + j*g**2 + k*g**3 and give k.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 f, and 1 h when three letters picked without replacement from {f: 1, r: 2, h: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(343) - (sqrt(343) + (3 + sqrt(343))**2)) + sqrt(343) + -3 - (-1 + sqrt(343) + -1)**2).\nAnswer: -706 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 878992?\nAnswer: 1\/878992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 13*b + 46. Calculate y(-8).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -106*m**7\/21 + 17*m**5\/10 - m**3 + 1162*m**2. What is the third derivative of z(x) wrt x?\nAnswer: -25440*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144151, -575796, -1295203, -2302372, -3597303?\nAnswer: -5179996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -21*m + 4 + 3*m**2 - 2*m**2 + 15*m. Let b be t(6). What is the third derivative of -4*p**5 - 4*p**5 + b*p**5 + 4*p**2 - 3*p**2 wrt p?\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4310?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g**2 + 9*g - 7. What is t(3)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1271786746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*n + 13, -8*n + 3*n - 7 = 3*s. Put s, -4, 0, 312 in decreasing order.\nAnswer: 312, s, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, z: 5, l: 3}. What is prob of picking 3 z and 1 l?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m - 5. Let t(z) = -4*z**2 - 54*z + 90. Calculate 4*t(w) + 72*u(w).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10650000 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3107691*g**5 + 6957872*g**2 wrt g?\nAnswer: -186461460*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 4*s**2 - 4*s + 8. Let v be r(-5). Suppose -l - 2*l = 3*b - 114, v*b + 84 = 3*l. Calculate the remainder when l is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 8*y**7 - 21*y**3 - 9. Find the third derivative of t(h) wrt h.\nAnswer: 6720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 10 = d, -3*d + l + 4 = -0*d. Suppose -2*n = 4*u - 2, -u = 3*u - 2*n + d. Solve u = 2*r - 4 - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*n**3 + 2*n + 14*n**3 + 17*n**2 - 22*n**2 in the form o*n**3 + v*n**2 + b*n + p and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 25*g + 3*g**2 - 42 - 6*g**2 + 19*g + 4*g**2. Let z be t(-45). Let j = 8 + -7.8. What is the nearest to -2\/5 in -1\/9, j, z?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1001 and -20\/39.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.86 + 2.11. What is the closest to i in -0.1, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 10*l**2 + 24*l + 81. Let w be s(-8). Solve 11*g - 50 = -w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1518 + 233 = n, 0 = -3*n - 2*p + 5277. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -13*m**2 + m. Calculate j(2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of (539\/196)\/((-3)\/(-12672)*3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**5 + 81808*l**4 + 7303836*l**3 + 179901864*l**2 + 766054800*l + 869623776 = 0.\nAnswer: -42, -3, -2, 20541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a**3 - 4*a**3 - 2*a**3)*(4 - 4 + 2) + (29*a**2 + 30 - 30)*(0 - 2 + 41*a - 45*a) to q*a**2 + n*a**3 + l + k*a and give n.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272911*-0.3.\nAnswer: 81873.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.88942 and 0.356.\nAnswer: 0.31663352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 117*i = 119*i - 151488, -3*u - 3*i = -113616. What is the thousands digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.597 and 29.5.\nAnswer: -135.6115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -3 (b) 62 (c) 0 (d) -5 (e) -36\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -929\/189 + 125\/27. Which is the smallest value? (a) 0 (b) d (c) -43.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 16339873513348\nAnswer: 16339873513349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 2\/((-6)\/(-15)). Suppose -4*z + 6*z = 4*o + 146, -a*o + 5*z - 143 = 0. List the prime factors of (-1 - o) + 0 + 1.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1143 = -447. Suppose -4*y = -l + 144 - 1316, 0 = 5*l - 20. Let j = y - t. What is the greatest common factor of 48 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.24 in 368.9, -0.1, 2\/11, 5, 0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/9 - 30\/675*-8105. Sort -1\/3, -1\/5, r in descending order.\nAnswer: r, -1\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2. Let d(a) be the third derivative of -5\/12*a**4 + 0*a**3 - 3*a**2 + 0 + 0*a. Determine d(q(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -119 + -5?\nAnswer: -11e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(363) + 1*sqrt(363) + -1 - sqrt(363))*2)**2.\nAnswer: -7280 + 440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -469 - -472. Suppose -4*r + g + 530 = 0, r + g + w*g = 124. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 51*u**3 + 2*u**2 - 3*u + 1. Suppose 1 = -8*k + 9. Is q(k) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 3*h - 4. Let f be o(-4). Suppose b - 2 - 8 = f. Solve -8 = 2*v + r, -v - 3*r + r - b = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4. Let c(w) = -2*w + 9. Give -2*c(r) - 2*f(r).\nAnswer: 4*r - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 4*x**2 + 6*x + 20. Let l be k(-5). Suppose 4*t - 6*m - l = -3*m, -4*m + 12 = 0. Is 6 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7746249494 + -40.\nAnswer: -7746249534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*l - 29 - 83 = 0, -l - 112 = 2*w. Which is bigger: -54 or w?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*c = 24, 2*n - 2*c = -5*c - 8. Suppose -n = 5*d + 3*k - 135, 3*k = -4*d + 107. Let f = -16 + d. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l*y**3 + 321*l*y**2 + l*y - 250*y**5 wrt y?\nAnswer: 24*l - 15000*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 24912*l - 155151936.\nAnswer: -(l + 12456)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((98\/(-28))\/(-7))\/(-1)*(-64)\/((-4)\/(-4))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (385518\/105)\/((-1)\/5*1). Let r = 42568 + -9810. Let x = r + n. Round x to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*q + 3. Which is the smallest value? (a) -0.3 (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 285\/(-19) - (-780)\/50.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 - -1) + (-5 - -5). Solve -o*b = -14*b - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 197*l**2 + 1955*l + 764. Calculate k(11).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -134?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 72 = 112. Let u be 5*(1 - g\/(-10)). Let s be 1360\/(1 + u\/15). Round s to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y + 140. Let g(n) = -21*n - 349. Calculate the lowest common multiple of y and g(-19).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.959? (a) -1\/5 (b) -3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*o + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130462?\nAnswer: 2, 37, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13843 + 10491 = -529*g for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let l(t) = 4*t - 3. Let d be (12\/16)\/((-1)\/4). What is d*x(q) + l(q)?\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11114.13 rounded to the nearest 10?\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/5*20\/(-24)*3. Which is the closest to -0.1? (a) w (b) -5 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/10473 + 17269990\/136149. Let m = a - 127. What is the closest to 1 in 2\/3, m, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-4 - 5) + -1 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096 at most 4381\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 753968 or 753969?\nAnswer: 753969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + q - 10. What is the units digit of 148\/20 - (-4)\/q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193965294 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -1.9. Let h = q - -0.4. Let x be (80\/120)\/(2\/(-6)). Which is the biggest value? (a) 1 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (0 - 0) - (-123411 - 219) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -702.026 rounded to the nearest ten?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 1:16 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -149985.76 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.0069.\nAnswer: 0.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9.8 (b) 2\/5 (c) -0.5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from eegeeegg.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -64025182 and -64025183 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - 7*v + 4. Let c = 25 + -23. Let r(d) = -11 - 3*d**2 + 95*d - 5*d**c - 74*d. Let x(q) = 11*b(q) + 4*r(q). What is y in x(y) = 0?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 d when three letters picked without replacement from {d: 14, m: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m - 14 = 3*f, -5*m - 2 = 3*f. Let q(r) = -28*r - 3*r**m + 1 + r**3 + 28*r. Let h be ((-18)\/15)\/(2\/(-5)). Calculate q(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4096048 and 8954?\nAnswer: 45056528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 146\/(-6) - (-4)\/(-6). What is the remainder when 168\/10 + (-5)\/k is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36316 - 73684. What is d rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2. Let q(y) be the first derivative of 811*y**3\/3 - y - 2164. Calculate u(q(o)).\nAnswer: 657721*o**4 - 1622*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 20*g + 59. Let y be ((-17)\/(-2) - 1) + 31\/(-62). Let z be k(y). Solve 3*t = z - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9626 divided by -1?\nAnswer: -9626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 68, 0.3 in decreasing order.\nAnswer: 68, 0.3, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -105*g**2\/2 + 2*g + 4188. Let x(z) = -14*z. Calculate s(x(i)).\nAnswer: 1470*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 9*a + 11. Let b(f) = -2*f - 4. Let l be b(-7). Let j be ((-1)\/l - (-9)\/(-6))*5. What is m(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89236 (base 14) to base 4\nAnswer: 1101022300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from owwpoeonwp?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 3)*(0*o - 2*o + o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:59 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 125d?\nAnswer: 125c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (283985\/(-2570))\/((-13)\/2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 6367*j**6\/120 - 1255*j**4\/8 - 6993*j**2. What is the second derivative of m(o) wrt o?\nAnswer: 38202*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w - 24*w**2 - 10*w.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -9\/4*b**2 - b**3 + 28 - 1\/8*b**4 - 2*b. Factor q(t).\nAnswer: -(t + 1)**2*(t + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7 = 4*y - 15, -5*y + 12 = -3*i. Let o = 0 - 0. Let g = 1.2 - 1.6. Which is the nearest to -0.1? (a) o (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1450.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 8*u**2 + 13*u - 5. Let f be q(-5). Let a(c) = 7*c**2 + c. Let m be a(-1). Suppose -24 + m = -h. Solve f*i + h = -2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*d - 5*d. Suppose 6*v - 3*v + 3909 = c, d*c + 2*v - 15594 = 0. Round c to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70b3d (base 16) to base 2.\nAnswer: -1110000101100111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12653*z**2\/3 - 12661*z\/3 + 8\/3.\nAnswer: (z - 1)*(12653*z - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.71 rounded to zero decimal places?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c - 72 = 14*c. What is the smallest common multiple of 616 and c?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 24 = -11. Suppose 0 = 2*k - 4*r - 36, 0*k - 5*k - 3*r + 103 = 0. What is the remainder when k is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*r + 2340 = 64*r for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0408 - 0.0408. What is the biggest value in q, -3, 5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 292892676 and 1596?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3ed (base 15) to base 13\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**5\/5 - 4*l**4\/5 + 148*l**3\/5 - 28*l**2 = 0.\nAnswer: -7, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(4\/7)*f*f\/(f**(1\/25)*f) assuming f is positive.\nAnswer: f**(443\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2718 + 1 - (-2 - -6). What is the units digit of 0 - ((-8)\/(-10))\/((-6)\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24836567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1757495 is divided by 524.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003.446 hours in nanoseconds?\nAnswer: 7212405600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g. Let z(a) = a**2 + a + 1. Let j(h) = 4*h**2 + 6*h + 6. Suppose 0 = i - 0 + 1. Let f(n) = i*j(n) + 6*z(n). Calculate f(d(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**5\/2 - m**4\/2 + 9*m**3 + 14*m**2 - 28*m - 48 = 0.\nAnswer: -3, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 4*y**2 + 7*y + 1. Let b(j) be the second derivative of j**5\/20 - 5*j**4\/12 - 7*j**3\/6 + j**2\/2 - 6*j. Let r be b(6). What is c(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4503000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106.5 - -113. Let r = s - 33.3. Let m = r - -26.80149. Round m to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38353 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlld when four letters picked without replacement from llllldllldlldl.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/48 and -47\/396?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2967 divided by -1516.\nAnswer: -2967\/1516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*p + 3 - 4 + 16*p + 5.\nAnswer: 72*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-21)*m**(-5\/6))\/(m**(3\/13)\/m)**(-1) assuming m is positive.\nAnswer: m**(-1763\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 27*g + 12 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 12*g**5 - 329240*g**4 + 2265325064*g**3 - 96209375168*g**2 + 1055953395084*g - 661880350152 = 0.\nAnswer: 2\/3, 21, 13697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n - 8. Let j be l(-1). What is the closest to -1\/2 in 0.5, j, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - -3322123121?\nAnswer: 3322123103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5061382, 10122783, 15184184, 20245585?\nAnswer: 25306986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 260762\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 - 1917119058706\nAnswer: -1917119058705.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from kkkkehkekhk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -2.3, -43, -18\/7, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16753, -34321, -51891, -69463?\nAnswer: -87037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -31*q - 423. Let i be r(-14). Put 1, -3, i in decreasing order.\nAnswer: i, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1330 and 252?\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 291403679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1443538 and 17?\nAnswer: 1443538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j + 7. Suppose 5*w - 4*v = 2, 4*v - 8 = -w + 2. Let r(z) = z. Calculate w*x(u) + 4*r(u).\nAnswer: -2*u + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635916917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29000?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-14976)\/299 - (-4)\/(-46). What is the second biggest value in 0.1, -0.7, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**4 + 8*v**3 + 7*v**2 - 6*v - 4373. Let b(f) = f**4 - 2*f**3 + f**2 - f - 41. Let z(q) = -6*b(q) + o(q). Find the first derivative of z(x) wrt x.\nAnswer: 12*x**3 + 60*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2402523 - 613810. Suppose -4*z - j = 91287. Round z to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65897613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 968492*u - 968492*u - 10*u**2.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1152\/390656)\/(9\/24))\/((-9)\/21)?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6047, 5882, 5727, 5588, 5471, 5382, 5327, 5312?\n\"Answer: w**3 - w**2 - 169*w + 6216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, p: 5}. Give prob of sequence pd.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.04, -6, 2\/19, -0.3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(1728) - sqrt(27)) + sqrt(162)\/sqrt(6)*-6)\/(-2*-2*sqrt(576) + 3*((sqrt(576)*-1 + sqrt(576) - sqrt(576) - sqrt(576)) + sqrt(576))).\nAnswer: 33*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(48\/4)*20\/20?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -17. Let v = -0.2 - -0.3. Which is the closest to v? (a) 3\/8 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 162411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3 - 18*o**2 + 24*o = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.26 - -3.26. Let n = -2 - -3. Which is the third smallest value? (a) n (b) l (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1568630907 and 837?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 761341 less than 0.1?\nAnswer: -761340.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqqxpxqzqqxzzqpzz. Give prob of sequence xqz.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxx when three letters picked without replacement from xxxpppppppppppppxpp.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -469434 divided by -1\nAnswer: 469434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -45a2 - -a?\nAnswer: -4593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 0)\/(42\/2598134) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three sixteenths of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 30*h - 32*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24462 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: What is the closest to -2\/3 in 2\/7, 3\/5, 5, -51.72, -14, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 5:18 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*n**2)*(165 - 165 - 131*n + (-n - n + 0*n)*(-1 - 1 + 1)).\nAnswer: -258*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 19 = -5*b + 3*p, -2*b - 3*p = -5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (0 - ((-19)\/(-7) - 0)). Which is the second smallest value? (a) 2 (b) d (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 0*i = 2*n + 10, -3*i + 1 = -5*n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or -48573388?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/10)\/(9\/36). Which is the closest to -0.1? (a) -3 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 7*y**2 - 10*y. Let r be f(5). Sort -3, r, 44 in descending order.\nAnswer: 44, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + -2 + 16 + -10 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 101*m**2 - 4559*m - 14588. Calculate d(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 647 (b) -97 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -122102?\nAnswer: 122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 39894266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 33*n**2 - 10*n**2 - 156*n**2 - 111.\nAnswer: -133*n**2 - 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10733 divided by 4\nAnswer: 10733\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(12\/5)*n)\/(n**(-10)\/n*n*n))\/(n\/(n\/((n\/(n*n*n*n*n*n**(-2\/7)\/n*n)*n)\/n)))**(-49) assuming n is positive.\nAnswer: n**(-848\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/7 and 4851\/(-286) + (-24)\/(-52).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/4374 and -76\/984879.\nAnswer: 5909274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 15. Is (s - (1 - -3))*-5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5874\/18)\/(-11) + (-9)\/27.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921966 is divided by 5766.\nAnswer: 5172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.9 - 1.1. Let c = -3.99 - t. Let k = c - 0.01000083. Round k to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 2*t - 5*y, 5*t - 616 = -3*y - 210. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiuuuuuuuiuuuuuuuui?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5 - 670*z**4 - 353075*z**3 - 43747540*z**2 - 1441934780*z - 14146193248 = 0. What is z?\nAnswer: -167, -22, 1048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21442450 is divided by 3573726?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*v**2 - v + 29 - 2*v**3 - 892*v**2 - 10.\nAnswer: -2*v**3 - 568*v**2 - v + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j - 324 = 0. Suppose 5*b = 3*w - j, 0 = -5*w - 6*b + 4*b + 135. Suppose g + 30*g - 217 = 0. What is the remainder when w is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2072151471295 + -2072151467880.000001529. Let m = 3415 - b. Round m to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxhnplnxpppv. Give prob of sequence nxhl.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00100783 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 1.8 (b) -0.2 (c) 34.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-22) + 433\/99 and (-4800)\/4536 - 6\/(-14)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12598101 to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 816 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 7*k + 6. Let x be f(7). Let v = 312 - 312. Suppose 2*r - 7 = -3*p, -2*p - r + 12 - 6 = v. Calculate the greatest common divisor of p and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13*(-20)\/(-390) + (-4)\/6. Suppose 3*p + k - 12151 = s, -94*p + 5*k + 12127 = -91*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43222 = -4140*b - 93398 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, -109, -280, -525, -844?\n\"Answer: -37*c**2 + 14*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19464 and 8760.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45091359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62837946463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0832*1\nAnswer: 0.0832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49636735 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/18 + 361\/3. Is 3 a factor of 4\/t*6 - 158\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + 7. Suppose -14*j = -r*j + 2. Is 38 a factor of ((-8)\/(-2) - 1) + (188 - j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 10*h**2 - 18*h + 15. Let t be f(8). Let a be (t - (-2)\/4)*6. Let k be a\/21 + 4\/28. Let b(p) = p**3 + p**2 + p - 12. Calculate b(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3388960.\nAnswer: 2, 5, 59, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 1\/6, -51 in ascending order.\nAnswer: -51, 1\/6, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -65*m**3 + 5*m**2 + 37*m - 34. List the prime factors of y(-6).\nAnswer: 2, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 424 divide 3713392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-14 + 7 - -3) - (0 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 - 78\/(-18). Solve 7 + 13 = -q*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8*f**3 + 2*f**2 - 5*f - 4. Let a be i(-3). Suppose -x - 4*x = a. Round x to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 x, and 2 j when four letters picked without replacement from {j: 3, c: 1, x: 5}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 32 - 17 + s + (1 - 2 - 1)*(s + 0*s + s) - 4*s + s + 4*s - 2*s + 0*s - 3*s to f + g*s and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -19*u - 57. Let l be n(-3). Suppose 3*j - 4*r = -3*r + 38, -4*j - 5*r + 57 = l. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**5 - 20*f**2 + 20*f**2 - 2 - 3*f + 7 + f wrt f?\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/382905 and -76\/195.\nAnswer: 4977765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 - 399 - 68*l - 67*l + 135*l to the form j*l**2 + h*l + y and give y.\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*x - 49 = 0, -2*f - 29 = -6*f + x. Suppose 3*g + 10 = f*g. Let a(s) = -43*s**g + 18*s**2 + 23*s**2. Let d(i) = 5*i**2. Calculate a(d(p)).\nAnswer: -50*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 8. Let x be g(-13). Suppose -x*m = -6*m + 67. Suppose 0 = -2*c - 2*d + d + m, 3*d - 41 = -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: Let t(o) = 4*o - 9. Suppose -r = -2*r + 6. Suppose -r = -2*b + 8. Is 8 a factor of t(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-170)\/(-340) - (-511)\/2. Is g > 257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 966, 937, 884, 795, 658, 461, 192?\n\"Answer: -2*q**3 - 15*q + 983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -25, 2\/35, -0.04, 1.6 in ascending order.\nAnswer: -25, -1, -0.04, 0, 2\/35, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7235419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**6\/30 - 2*p**5\/5 + 19*p**4\/4 - 4*p + 9. What is the third derivative of f(v) wrt v?\nAnswer: 24*v - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 - 36 = 0. Suppose j + 2*w + 8 = 0, j + 0*j - 4*w = 4. Let t = j + l. What is the greatest common divisor of t and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000857234749 rounded to six dps?\nAnswer: 0.000857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -87466, -87507, -87554, -87607, -87666, -87731, -87802?\n\"Answer: -3*h**2 - 32*h - 87431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/3132 and 10\/99.\nAnswer: 34452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/11 - 128*v**4\/11 - 2246*v**3\/11 - 6944*v**2\/11 + 2248*v\/11 + 7072\/11 = 0 for v.\nAnswer: -34, -26, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35360 and 1030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -392.996809894 - -1.\nAnswer: -391.996809894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 86 - 77*u**2 + 19 + 22.\nAnswer: -77*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -374 divided by 2?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (57 - (-4 + 10 + 5)) + (2 + -7 - 4)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.1 - -5.4. What is the second smallest value in 5, 1, -1\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(78)\/((-2*sqrt(42))\/sqrt(7)))**2*6 + -4 + sqrt(26)\/(sqrt(18)*1).\nAnswer: sqrt(13)\/3 + 31\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + ce7?\nAnswer: ce1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66144.\nAnswer: 2, 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -57967*k + 265. Let h be f(-5). What is h rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 26\/5, 2\/13, -2\/7, -5\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 120. What is the greatest common factor of 22 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 26394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b**4 - 5*b + 894337*b**2 - 894337*b**2 - 49*b**4 - 1 + 5*b**3 to x + h*b**2 + y*b**4 + l*b + s*b**3 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (0 + -6 + 1 - 8) - -13.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/27*9\/(-2). Solve 5*j + 25 = 2*k, 3*k - 24 = -0*j + b*j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/12, 10, 5, 0.1 in descending order.\nAnswer: 10, 5, 0.1, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 59 (b) 3 (c) -4 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*p - 73 - 399, 2*x = -4*p + 344. What are the prime factors of x?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**2 + q**2 - 3*q**2 + 4*q**2. Let z(r) = r. Determine z(x(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6446.115 months to years.\nAnswer: 537.17625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-16)*((-96210)\/540 - -178)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3.2 * -87.408\nAnswer: -279.7056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 + 3*h - 1. Let k be r(2). Let p(v) = -v**2 - 4*v + 3. Let d(w) = -w + 1. Let f(a) = 4*d(a) + p(a). What is the units digit of f(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 170, 362, 554?\n\"Answer: 192*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-66) - ((-21230860)\/330 - 29)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 14*g**2 + g + 9. Let m be t(3). Let k = m + -123. Calculate the highest common factor of k and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32160731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -13. Let y(r) = 3*r + 0*r**2 - 5*r**3 + 4 + q*r - 2*r - r**2. Let l(x) = -14*x**3 - 3*x**2 + 17*x + 11. Determine -6*l(b) + 17*y(b).\nAnswer: -b**3 + b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*4\/(-24) - -77*14\/(-2058).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**2)**(4\/3) assuming p is positive.\nAnswer: p**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 122547.2 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/67, -1\/28, 16?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 2:15 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11409.0000048935 - -11409. What is g rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 483275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h - 30. Let s be x(-9). Is (-2954)\/s*48\/32 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34)\/17 - (-12)\/(-11)*-2. What is the closest to 1\/2 in l, -5, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 8:22 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2997202 and 41106?\nAnswer: 278739786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2666 + -1?\nAnswer: 2665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -6. Suppose 3*l - 7 = -7*x + 6*x, -4*l = -5*x - 22. Differentiate -10*h**4 + 9 + 10*h**4 - l*h**r with respect to h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(52) + 2 - ((sqrt(1573) - (-1 + sqrt(1573))) + sqrt(1573))))**2*3.\nAnswer: -1944*sqrt(13) + 113832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g - 33. Let w be c(6). Suppose -5*k - 2*o - 8 = 0, -4*k + 0*k = -2*o - 8. Let i = w - k. Solve -j - 2*z - 14 = i*z, 22 = -3*j - 5*z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171746.73 months in decades?\nAnswer: 1431.22275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**0*s*s*s**(-7)\/s*(s**(3\/2)\/s)\/s**(2\/15) assuming s is positive.\nAnswer: s**(-139\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(405) - (sqrt(405) + 0))**2*2 + sqrt(405) + sqrt(405)) + -1*sqrt(405)*-6 + 4.\nAnswer: 4 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.043?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1158834054?\nAnswer: 2, 3, 7, 19, 191, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 24*z = -8*z. Suppose -4*v = -3*v + c - 955, -3*v - 5*c + 2869 = z. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5404568 and 1986?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 38*z + 12. Let p(j) = 1. Let s(u) = -g(u) + 12*p(u). Let c be s(19). Let b = 3 + 1. Solve c = -4*x + y + 9, -b = x - 3*y + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 7*q**2 - 6*q - 8. Let c be t(8). Solve 5*f + 20 = 0, -5*h - 3*f = -c - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/3*-9 + (-2 - 5)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6 = -2*u. Suppose 0 = 3*v - 7*v + 2*g + 2, 0 = 4*v + u*g - 17. What are the prime factors of (-272)\/(-9) - v\/9?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**5 - 80*h**3 - 600*h**2 - 2182*h - 3 wrt h.\nAnswer: -60*h**3 - 480*h - 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 10. Let y be k(-7). Suppose u = -y, 3*m - 3*u + 0*u = 45. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (36 - (-28 - -102)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u\/(u**(-2\/3)*u)))**(-33))**(-43) assuming u is positive.\nAnswer: u**473","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1331))**2 + (0 + sqrt(275))**2.\nAnswer: 5599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y - 6*y - 1966 - 498 - 3*y to u*y + x and give x.\nAnswer: -2464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5317 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - u. Let h = -1 - -3. Let p be g(h). Let x = 273 - 267. Solve -p = 4*t - x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -469, -1059, -1873, -2905?\nAnswer: -4149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9223\/650 - -179\/13. What is the common denominator of i and 35\/22?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 298, 301, 314, 343, 394, 473?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3541, -2, 1, -4 in ascending order.\nAnswer: -3541, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000019166 to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k - 3010 + 5*k + 0*k**3 + 4*k**3 - 7*k**2 + 3018 - 2*k**3 to the form f*k**3 + w*k + s + t*k**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -268905*r**6 - 1271545*r**2.\nAnswer: -32268600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 8:43 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, z: 11, u: 3, s: 1}. Give prob of picking 2 u.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 229399, 917714, 2064943, 3671086, 5736143, 8260114?\n\"Answer: 229457*d**2 - 56*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74075, -3, 1.\nAnswer: -3, 1, 74075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 + 0.6. Let a = 11\/119 - 4\/17. What is the nearest to 3 in a, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1056)\/(-660))\/((-14)\/(-5)))\/((-120)\/21)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7742*y + 11060. Let t(r) = 3*r + 4. Give -2*d(i) + 5530*t(i).\nAnswer: 1106*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114798 at most as big as 59181180\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2119*a**2*h**3 - 692*a**2*h + 14*a**2 - a*h + 3*h**4 wrt h.\nAnswer: 12714*a**2*h + 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47059511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1320019, 1324068, 1330823, 1340290, 1352475, 1367384?\n\"Answer: t**3 + 1347*t**2 + t + 1318670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/9*-12)\/(-2). Suppose i = -d*i + 100. Find the common denominator of (-4)\/i + (-34)\/(-5) and -3\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*q + 2*j, 990469*j - 990474*j = 3*q - 27 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/((a\/(a\/((a\/(a\/a**(2\/13)))\/a)))\/a)))\/(a**(-14)\/a))**10 assuming a is positive.\nAnswer: a**(1710\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**2 + 10*m**2 - 1320*m**3 - 17*m**2.\nAnswer: -1320*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (41\/(-10))\/((-1633)\/16330)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 72 = 9*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -117108 (base 10) to base 3\nAnswer: -12221122100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - 5 + 5)*((1 + 0 - 4)*(2 + 0 - 1)*(-2*y - 5 + 5) + (9 - 2 - 20)*(2*y + 5*y - 5*y)).\nAnswer: -40*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45010.11 + 45199. Let m = j - 191. Let n = -1.9 - m. What is n rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10213374191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, y: 1, j: 1, l: 1, w: 2, p: 1}. Give prob of sequence jw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 3*h - 43. Let u be x(-6). Let f(n) = -n**3 + 11*n**2 + 15*n - 11. Is f(u) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/2599 or 0?\nAnswer: 10\/2599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-32) - 189\/(-24). Let w = s - 11. What is the smallest common multiple of (w - -11) + (-12)\/(-3) and 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3552428 to the nearest integer?\nAnswer: 1885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/11 or -8.81?\nAnswer: -8.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h - 16 = 0. Suppose -3*t = 5*z - 60 - h, 4*z = 3*t + 50. Suppose 3*r = z - 5, 5*s + r + 7 = 0. Let u(o) = -3*o**2 + 1. Calculate u(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**3 - 13*v**2 + 4*v - 18. Let p(a) = 2*a**3 + 6*a**2 - 2*a + 9. Let w(c) = -3*h(c) - 5*p(c). Calculate the remainder when w(7) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 10*d**3 - 1. Calculate z(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1\/11))\/(f*f\/f**(-3\/2)*f))**(-1\/12)\/((f**0\/f*f)**18*((f**2\/f)\/f)\/f**(4\/5)) assuming f is positive.\nAnswer: f**(1451\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73753433 is divided by 177?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 0*m + 3*t + 3 = 0, 0 = -5*m - 2*t + 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92224040 and 4?\nAnswer: 92224040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4\/2 - 20*m**3 + 95*m**2\/2 - 25*m.\nAnswer: -5*m*(m - 1)**2*(m + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 - f - 1. Let l(x) = -11*x**2 - 4*x + 2. Determine -l(w) + m(w).\nAnswer: 9*w**2 + 3*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1419)\/172 + ((-2)\/(-4))\/((-9)\/(-216))\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/10 - 3\/(-15). Let g be (-2)\/(-8) - k\/4. Which is the third biggest value? (a) g (b) -1\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 11:22 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 1\/20 (c) 0.5 (d) 3 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + 1. Let p = -0.5 + d. Let m = 0.000002 - p. What is m rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23028977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20*-27720.041\nAnswer: -554400.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 17*y - 8. What is b(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 8*t**2 - 3*t + 8. Let v be y(6). Suppose 73*j = v*j + 957. Calculate the remainder when j is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2))\/((10\/(-44))\/(218\/5995*-5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49313 or 49317?\nAnswer: 49313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 37*s**3 - 1. Let f be l(1). Let k = -81 + f. Let i = k + 104. What is the remainder when i is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-1)\/(-9) - 0.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 227846458196 and 1090.\nAnswer: 227846459286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c**2. Let h(d) = 351*d**2. What is h(g(a))?\nAnswer: 12636*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(-7 - 4 + 3)*(2*o + 4 + 4*o**2 - o - 2*o**2).\nAnswer: -48*o**2 - 24*o - 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6994514 is divided by 6994512.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*z. Suppose -p + c - z = -2*p, 2*c - 4 = 3*p. Solve -2 - 1 = 3*m - 3*s, p = -4*m + s - 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k - 8. Calculate a(7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21b6d (base 14) to base 15.\nAnswer: -193a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -k - 121, 5*w = 5*k - 94 + 279. Suppose m = -m + w. What is the remainder when m is divided by ((-56)\/20)\/((-27)\/((-2025)\/(-30)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (34 - 1)*3\/9. Suppose -v = -4*f + 9. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 16562358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -25*v - 276. Let c be j(17). Let w be (-1138)\/(-5) - (-2)\/5. Let q = w - c. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2209877*s**3 + s**4 + 4*s**2 - 5*s**4 + 2209859*s**3 + 18*s**5 = 0 for s.\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**4 assuming j is positive.\nAnswer: j**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 150418026529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(27))**2 + 4.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 997786*j + 562028 wrt j.\nAnswer: 997786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t + 59. Let h be x(-10). Let c(o) = -39*o + 5. Let m be c(6). Let q = -2063\/9 - m. What is the closest to h in q, 4, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -20. Let o = v + -10. Let g be (6\/10)\/(8\/o). Which is the closest to -1? (a) -1 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 + 110. Suppose 24*p = 20*p + 40. Calculate the highest common divisor of c and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + 2*v**3 - v**3)*(74 + 920*v - 921*v + 7).\nAnswer: -2*v**4 + 162*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 104738620.\nAnswer: 314215860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126 - -131. Suppose 2*j = -3*j + 2*j. Solve -4*f + 17 = 5*k, j = -5*f + 2*k - y*k + 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 230197 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 9 = -5*a, 15 + 17 = 3*p + 4*a. Calculate the least common multiple of p and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-1 - 0) + 9 + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/15 or -11461?\nAnswer: -11461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 2:30 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200122120000220 - -10?\nAnswer: 200122120001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 - 1 - (-81 - -14)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -202249, -202248, -202247, -202246, -202245?\n\"Answer: y - 202250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evj when three letters picked without replacement from {p: 1, v: 1, s: 3, e: 2, j: 3, f: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -44201388 divided by 47837?\nAnswer: -924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 5*p**7\/21 - p**3 - 3*p - 6. Let s(f) be the first derivative of j(f). What is the second derivative of s(h) wrt h?\nAnswer: 200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 25*z**2 - 27*z + 29. Let o be s(26). Let k(w) = w + 6. Let a be k(0). Let f = -4 + a. Solve 5*v + d - 5 = 0, -o*v = f*d - 1 + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 44?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 5*d + 20. Let v(q) = -224*q + 7. Let b(l) = 112*l - 3. Let y(h) = d*v(h) - 9*b(h). Is 37 a factor of y(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*t - 4358700 = -2*t - 35*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2922 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*z = 2, 0 = 2*q - z - 1 - 5. Let t(g) = 1 + 2*g**q - g**2 + g + 3. Calculate t(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*((sqrt(38)\/sqrt(8)*-2)**2 + (sqrt(95)*3)\/sqrt(5)*-5)*-2.\nAnswer: -456 + 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*p - 64 = 0, -5*p - 1 = 2*q - 25. Let u = q - 13. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.95912 to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 10 - 2 - (-111218)\/6264. Let t = 4\/783 - u. Find the common denominator of t and (-44)\/14 + 1 + -2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.6. Let t = -0.1 + 1.1. Do p and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i*v*x**3 - 2*i*v*x**2 - 29*i*v + 23*v*x**6 - 14*v*x**4 + 7*v wrt x.\nAnswer: -6*i*v + 2760*v*x**3 - 336*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*t - 4284 = 0, 0 = -2*n + 4*t + 1372 + 1496. Calculate the highest common divisor of 52 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.4 + -16.17. Let r = -47.23 + 45. Let g = m + r. Is g at most as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 303, 288, 271, 258, 255, 268?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*j + 49*j - 54. Let d(c) = 20*c + 182. Let i be d(j). Solve 0 = 5*y + 3*p - i*p - 11, -2*p - 8 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 4 + 23*n**2 - 5*n - 13*n**2 as h*n**2 + o*n + p and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51030*b**4*h**3 - 200*b**2*h**3 + 4415272*h**3 - 3*h**2 + 1 wrt b.\nAnswer: -204120*b**3*h**3 - 400*b*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 22. Let t(x) = x**2 + 11*x - 16. Suppose -5*n + 2 + 8 = 0, -3*n = 5*o + 64. Let h be t(o). What is the tens digit of d(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2720474319 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 742 = -5*g - 3*k + 766, -k = -4*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5430 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1302)\/(-24))\/(8\/(-64)). Let z be g\/93*(-6)\/4. Solve 9*v - z = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 - -135. Calculate the lowest common multiple of 12 and (66\/10)\/3 - 8\/h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1 + (-1 + 0 + 0)*(-2 + 3 + 1) - 3 + 0 + 2 + 3 + 0 - 4)*(-r - 2*r + 4*r)*(-91*r**3 + 68*r**3 + 107*r**3).\nAnswer: -420*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/28)\/((-6)\/21). Let w(s) = -d*s + 0*s + 0*s - s. Let k(i) = 2*i - 6*i - i + 3*i. What is w(k(a))?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3488484 divided by 12?\nAnswer: 290707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24317 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2 - 37*s - 28. Give k(-7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -4*b + 3*a + 33, 0 = -3*a + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -4 (b) -182 (c) -2\/13 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303450 = -9673*b + 12648*b for b.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5\/6 - 1399*c**4\/3 - 27796*c**3\/3 - 44408*c**2\/3 + 37064*c + 66672 = 0. Calculate c.\nAnswer: -2778, -18, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -16109923.\nAnswer: -2\/16109923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21301410 (base 5) to base 9\nAnswer: 305844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*2\/60)\/(14\/35)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 264\/24*(148\/44 + -1). Solve t*d + 10 = -94 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 - 15 + 0*t**3 + 2*t**3 - 14.\nAnswer: 3*t**3 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 43.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j - 173 = -179 - 88 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4980, 34102, 63222, 92340, 121456?\nAnswer: 150570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5070599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -14. What is the units digit of (-2)\/v + (-321)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(117)*1 + -5 - (0 + sqrt(117) + 5 - sqrt(117)))*3)**2.\nAnswer: -450*sqrt(13) + 1678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 5:52 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 975.59 nanograms to milligrams.\nAnswer: 0.00097559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/h**2)\/h*h)**(1\/67))**40 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4527619257?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2415 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 - 75 = 2*z. Suppose -k = -5*k + z. Does 10 divide 708\/k + 2\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4113*l + 296005. Calculate h(72).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsststttsstwwws. What is prob of sequence ttst?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(63)\/sqrt(7)*4 + sqrt(9)))\/(sqrt(21)\/(sqrt(343)*1)))**2.\nAnswer: 33075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -173*p - 929. Give j(-5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116680397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1324523467 to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3)*l)\/(l**(-2\/5)*l))**26\/((l*(l*l**(-2\/9)\/l)\/l*l*l*l)**27\/(l*l**(-2\/3)*l)**(2\/123)) assuming l is positive.\nAnswer: l**(-263057\/1845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j. Suppose -2*l = 2*l - 288. Let f be (-6)\/14 - (-5 + l\/28). Give p(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158252933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4)*(1 - 1 + 2*l)*(-27*l + 11*l - 20*l)*(1 - 1 + 2).\nAnswer: 432*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 252 = -2*l, 0 = -6*l + l. Let v = s - -47. Let q = -23 - v. What is the remainder when q is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -14*g - 551. Let t(c) = -c**2 - 34*c - 1107. Calculate -2*t(n) + 5*z(n).\nAnswer: 2*n**2 - 2*n - 541","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-20)*16\/(-6). Suppose 9*w - 6 = 6*w. What is the third smallest value in w, i, -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l + 5*l + 8*l - 7 - 24*l. Let b be f(0). Let k = -9 - -5. Which is smaller: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8*(-48)\/(-24).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -447*t**3*y**3 + 736944*t**3*y**2 - 225*t*y**3 + 184*y**3 - 268*y**2 wrt y?\nAnswer: -2682*t**3 - 1350*t + 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**5\/5 - 2*x**4\/3 + 2*x**3\/3 + 4*x**2 - x - 7. Solve p(j) = 0 for j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*30\/(-8)*(-320)\/200\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1621405 = -366*g + 283*g. What are the prime factors of g?\nAnswer: 5, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9282 and 36182562?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/1848 and 7\/1122.\nAnswer: 31416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 1. Let w(o) = -o**2 - 5*o - 13. Let k(c) = 2*p(c) - w(c). Let s be k(-5). Suppose -u = -9 + s. What is the highest common factor of u and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 + 220 + 142)*(-3 - 3*r**2 + 3).\nAnswer: -822*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3)**(1\/2) assuming i is positive.\nAnswer: i**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b - 6. Let w(l) = -17*l + 15. Let d(y) = 7*c(y) + 3*w(y). Let k(j) = 4*j - 1. What is 2*d(u) + 9*k(u)?\nAnswer: 4*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.1. Let g = 73.1 + -73. What is the closest to t in -4, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/12)\/((-44)\/24*18\/1452).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9085 and 66585?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2788)\/(-7480) - (3\/(-2) + 8\/5)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 472 + -467. Sort 1, y, -2, -11 in descending order.\nAnswer: y, 1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m*m**(3\/2)\/m*m)*m*m\/(m*((m**(2\/15)\/m)\/m)\/m)*(m**1)**(-17)*(m**(-1)\/m)**(22\/7)\/(m**(-2)\/((m**(-1\/4)*m)\/m)) assuming m is positive.\nAnswer: m**(-7631\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4149, -3812, -3497, -3216, -2981, -2804?\n\"Answer: -2*s**3 + s**2 + 348*s - 4496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 6*h + 2*d + 3062, -h - 4*d + 3092 = 0. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -24. Let s be (-752)\/(-10) + q\/(-15). Calculate the greatest common factor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 155\/2170*(2 + 350) - 40\/35?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-1 + 4 - (-2 - -7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04661 - -31.95339. Let f = 1523\/9 - 169. What is the second biggest value in 1, f, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/20)\/((-2)\/30). Let z be 29\/b + (-2)\/9. Solve z*d = -2*d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 140 - 57. Let z(t) = -v - 76 - 82 + 4*t**2 + 237 + 4*t. Let q(w) = -w**2 - w + 1. Determine 14*q(k) + 4*z(k).\nAnswer: 2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -3. Let z(f) = -9*f - 46. Let n be z(-6). Suppose -2 = 6*i - n*i. Sort j, i, -9, 3 in descending order.\nAnswer: 3, i, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 8 = -2. Let x be 2\/y - (-63)\/140. Let 0*l**2 + 0 - 1\/4*l**3 + x*l = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 19*p - 79. Let n be v(-7). Solve l - 8*r - 4 = -3*r, n*l + 5*r - 20 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.2 - -1. Let z = j + 3.199947. What is z rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9742 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.36 - 5.33. Let q = -0.03 + s. Let y = 2 + q. Sort 3, 1, y in ascending order.\nAnswer: y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13646 (base 7) to base 4\nAnswer: -322232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o - 19. What are the prime factors of w(8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 3:19 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 24*l**4 + 22*l**4 - 8)*(100*l - 246 + 246) + l**5 - 3*l**5 + 0*l**5.\nAnswer: -202*l**5 - 600*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b + 73 = 0. Suppose -4*q + b = 4*j + 9, q = 2. 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 twenty-five halves of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -180. Let q = 137 + c. Solve -38*s + 144 + 2*s**2 + 2*s**2 - 23*s + q*s = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 5 - 436*w + 434*w - 17*w**3 + 4 - 6 to f*w**3 + p*w + k + v*w**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*c - 459 = 2*c. Let p(r) = r - 4. Calculate p(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1664895*h - 19978727. Determine n(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -9\/17 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-2 + (8 - 6))) + (9 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3. Let z be -14 - (-340)\/24 - (-250)\/12. Let g be (-8)\/(-20) + z\/(-15) - q. Solve x - 3*x = g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-375)\/(-6)*8\/10. Let p = x + -13. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**2 + 9*l - 43*l + 3*l**2 - 3*l - 10*l**2 to the form m*l**2 + d*l + u and give d.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 822*v - 826*v = -44 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9331, 18164, 27029, 35932, 44879, 53876, 62929, 72044?\nAnswer: 81227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-45)\/(-30))\/((-9)\/(-24)) - 0. Let p(c) = -2 - 4 - 4*c**2 + 5*c**3 + 4*c - 4*c**3. What is the units digit of p(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 divided by 89.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44175965 to five decimal places.\nAnswer: -0.44176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 6*p - 9. Let m(v) = 2 + 6*v - 6 + 3 - p*v. List the prime factors of m(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1517914 + 1?\nAnswer: -1517913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + b = -1, -2*w = 15*b - 13*b + 2. Solve 5*i - s - s = -7, w = -i + 3*s - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4964 divided by -1241?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (14860002 - 1) + -4. What is p rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7203 (base 12) to base 8.\nAnswer: 30143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/28*2 + (-107)\/(-2). Solve 0 = 58*v - s*v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 8)*(0*c - c**2 + 0*c)*(-2 - 1 + 2)*(-2 - 2 + 2)*(0 - 2 + 1).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71795 and 1040405.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7683 < 7682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/4*173136\/(-84) + (1 - -1) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179072 is divided by 551.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8578*y + 32 - 4*y**2 + 4291*y + 3*y**2 + 2*y**2 + 4293*y. Determine k(-8).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 + 2*i. Let z(j) = 5*j**2 + 3*j + 1. Let g(h) = -4*n(h) + 3*z(h). Let o be g(3). Let c be o\/(3*1\/(-2)). Solve -r + 4 - c = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.77 and -0.1?\nAnswer: -0.377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 8\/331861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/130 and -67\/2?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3\/11, -1, 0.4, 2\/11 in decreasing order.\nAnswer: 0.4, 3\/11, 2\/11, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-33)*y*y)\/y)\/(y*y**(-40)*y))\/((y**(-10\/11)\/y)\/(y**(-22)*y)) assuming y is positive.\nAnswer: y**(-133\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 11) in base 16?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**4 - 42*j**3 - 108*j**2 + 168*j + 384 = 0. What is j?\nAnswer: -2, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27871, 111559, 251077, 446455, 697723?\n\"Answer: 5*l**3 + 27885*l**2 - 2*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1024 + -522. Suppose w = 2*u + 76. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.13 + 5.13. Let r = y - 5. Let h = 18 + -12. What is the nearest to 1 in r, 5, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3, 1\/2, -44, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8465 - -8464.612. Do -0.7 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5104, 10195, 15292, 20395, 25504?\n\"Answer: 3*s**2 + 5082*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.0824, -4, 3, -1, -1\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 79 = -s, 3*s = 2*k - s - 62. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -405*a**4\/4 - 315*a**3\/2 + 1555*a**2\/4 - 145*a + 15 = 0.\nAnswer: -3, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-4))\/(2\/(-4)). Let k = 1202 - 1201. What is the closest to k in d, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/15 - (58\/(-31) - 0). Sort k, 0, 1\/4 in descending order.\nAnswer: 1\/4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000405214107 rounded to 7 decimal places?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 4*v**2 + 13*v - 8. Let t be d(9). Let q = -706 + t. Suppose 0*a + 4*a = -g + q, 342 = 3*a + g. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 71 in 0.1, 1\/7, -2\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86182 + 167151. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -606 by 23.\nAnswer: -606\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 1 - 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 310212954 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(192)*1)\/(-2*sqrt(96)).\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (-2)\/(-1)*-44. Suppose 0 = m, -5*p - 2*m - 3*m + w = 0. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 185240.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**5 - 484*i**4 - 984*i**3 + 184896*i**2 - 1081728*i - 2903040 = 0. What is i?\nAnswer: -21, -2, 12, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -20?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, p: 1, d: 6, t: 2}. What is prob of sequence bbtd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11403084 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4504 divided by 8?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 11*z - 3*z)*(-1 + 1 - 2*z)*(-5*z**2 + z**2 + 2*z**2) + 2*z**4 - 1 - 1 - 5*z**4.\nAnswer: -47*z**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8 = 3*a - 5, 2*a + 3 = -w. Sort w, 6, 1.\nAnswer: 1, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5571 + 5379. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 85183, 170399, 255615, 340831, 426047?\n\"Answer: 85216*m - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28308 is divided by 298?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3500) + -6*sqrt(3500)*1))\/(2*(sqrt(252) - -2*sqrt(252)*4)).\nAnswer: 25*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210200200 (base 3) to base 2.\nAnswer: -1101011110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063 is divided by 84?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105986487 to the nearest integer?\nAnswer: 10295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 + 2*v - 12\/5.\nAnswer: -2*(v - 3)*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285.54531 months to centuries.\nAnswer: 0.237954425","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27726?\nAnswer: 2, 3, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3839\/275 + (3 - 133\/38)*28?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - ((-1 - -9) + -56)) + (-33 - (-16 - 3))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*j + 22801 + 9599, 2*j = -2*r + 16206. What are the prime factors of j?\nAnswer: 3, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3500753*k**2 - 3500750*k**2 - 3 + 3.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 1\/12*z**4 + 1\/36*z**6 - 50 - 1\/9*z**3 - 1\/6*z + 1\/10*z**5 - 1\/4*z**2. Factor k(w).\nAnswer: (w - 1)*(w + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**4\/12 + 2*i**3\/3 - 2*i**2. Let m(u) = -1. What is c(k) + 2*m(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1072434 (base 8) to base 5.\nAnswer: -33321444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b = 5*b - 11*b - 2*o - 22, -5*b + 3 + 1 = -3*b - 2*o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -7. Let d(r) = r**2 + 8*r + 3. Let z be d(-7). Sort z, w, 3 in decreasing order.\nAnswer: 3, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5577 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -127300 and -0.01427.\nAnswer: 1816.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m - m + 4*m. Let w(j) be the second derivative of j**5\/120 - j**3\/2 - 2*j. Let o(y) be the second derivative of w(y). Give -9*o(k) + p(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -7110*k - 4217*k - 7262*k + 1551*k as f + h*k and give h.\nAnswer: -17038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 = -2*t - 14*o + 10*o + 524 - 252, -5*t + 2*o + 42 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - v - 6475 = -6461, 2*w - 79 = 5*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 213\/1930 - 2\/193. Let k = 147.87 + -149. Let a = 4.87 - k. What is the nearest to a in -1\/2, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-4*40\/(1280\/56)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwwwwg. Give prob of sequence gw.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.1 + 1.1. Let u = 0.3 + -0.3. Let x = u - -0.2. Sort d, -2\/9, x in decreasing order.\nAnswer: x, -2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3*(-2)\/(-126).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 3*s**2 + 2*s + 2. Let b be f(-3). Let y be 2\/1*(-646)\/b. Suppose 3*r - y = 7. Round r to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 15 = 2*j. Let z(y) = -y + 2 + j - 3. Let l be z(4). Solve t - 1 = -l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 4:34 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.21779 millilitres in litres?\nAnswer: 0.00521779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1221*d - 1218*d = 9. Solve -3*u + d = -5*z - 2, 0 = 3*z + 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 + 1518.\nAnswer: 1516.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -13*i**2 + 5*i**2 + 10*i - 10*i. Let s be 23\/5 - (-18)\/45. Let k(h) = -6*h**2 - s*h**2 + 14*h**2 - 5*h**2. Give k(w(d)).\nAnswer: -128*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h - 2*h**2 - 4*h - 2*h**3 + (0*h + 8*h - 2*h)*(-h**2 + h**2 + h**2).\nAnswer: 4*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 + 80*b**4 - 2112*b**3 + 20480*b**2 - 65536*b.\nAnswer: -b*(b - 32)**2*(b - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016615 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -4173, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.018, 0.1, -12.8?\nAnswer: -12.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -715\/333 - -826\/333. Factor 4\/9*f**3 - 1\/9 + 4\/9*f**4 - 4\/9*f - h*f**2.\nAnswer: (f - 1)*(f + 1)*(2*f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w + 5. Let m(x) = -3*x - 3. Let b(n) = 4*c(n) + 7*m(n). Let r be b(1). Solve -r = 6*s - 8*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -668300 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/391 and 75\/92?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/336)\/(-2*((-18)\/16)\/(-9)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 261 - 1795. Are 257 and r equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/11678632 and -57\/11678632.\nAnswer: 11678632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 - 5*f - 4. What is the units digit of b(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(80) + sqrt(5) - sqrt(5) - (-3 + (sqrt(5) - (sqrt(20) + sqrt(5)))**2).\nAnswer: -17 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-6))\/((-6)\/68). Suppose -3*q + i = -19. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186 + 26 + 112 + 32 + g + 16.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 36 = 3*b. Let a(v) = -v**2 + 8*v + 19. Let x be a(b). Let u = x - 579. Round u to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, 4, -3, -5 in descending order.\nAnswer: 4, 1, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2. Let n(y) = 6 - 8*y**2 - 3 - 10*y - 8 - 4. Let v(s) = 4*s**2 + 6*s + 4. Let a(g) = 3*n(g) + 5*v(g). Calculate a(m(j)).\nAnswer: -16*j**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 148 = h, 2*h = -2*o + o + 163. Let d = 174 - o. Let a = -61 - -122. Calculate the remainder when a is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2756 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yytytylty. Give prob of picking 3 t.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99 (base 16) to base 4.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 816892066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -23*z**5\/120 + 7*z**4\/24 + 8*z**3 - 15. Let b(d) be the third derivative of a(d). Find the first derivative of b(j) wrt j.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*q)*(281*q + 61*q**2 - 281*q)*(3*q**2 + 0 + 0).\nAnswer: 366*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4315788 decades to centuries.\nAnswer: 0.04315788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14497195 and 2?\nAnswer: 28994390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -2 - 5) + -13 + -40 + 48 - 5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4220 (base 12) to base 15\nAnswer: -2219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*(v*v*v**(2\/7))\/v)*v)\/v*v**(-6))**(-12)*(v**6\/v*v**6)**2 assuming v is positive.\nAnswer: v**(766\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45604 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/9*(-88)\/8*2892\/(-5302)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2. Let n(l) = 174*l + 586*l + 168*l + 698*l - 268*l. Calculate z(n(m)).\nAnswer: -3688328*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8999803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3\/3 + 7*q**2 - 33*q - 121\/3 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 0*v**3 - 1\/4*v**5 + 3\/4*v**4 - 8*v + 0 + 0*v**2. Let g(b) = -2*b**3 + 4*b**2. Calculate 7*g(t) - 3*z(t).\nAnswer: t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1675 - -1761. List the prime factors of p.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - 3*z**2 + 2*z**2)*(329304*z**3 + 336305*z**3 - 650688*z**3).\nAnswer: -14921*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 + 91610*o - 2*o**2 - 45807*o - 45804*o + 286*o**3 - 4 in the form f*o**3 + l*o + z + b*o**4 + q*o**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 6:07 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*h + 30 = 0, s - 5*h + 18 = -0*s. What is the third derivative of -4*g**2 + g**2 - s*g**2 + 5*g**5 wrt g?\nAnswer: 300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39665297.\nAnswer: 7, 1693, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(57)\/sqrt(3) + 1)**2.\nAnswer: -4*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3157082 (base 10) to base 9.\nAnswer: -5841628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from sssskskkssssssssssk?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*s**3 - 16*s**3 - 17*s**3.\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286 by -26.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 6520716.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4806 and 277947?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47310.48 weeks in days?\nAnswer: 331173.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 66*b + b)*(-75*b + 47 - 47).\nAnswer: -4725*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 3)*(n**5 - 5*n**5 + 2*n**5) + 0*n**5 + n - 2*n**5 + n + 764*n**5 - 18527*n**4 + 18527*n**4 + (2*n**4 + 2*n**4 - 3*n**4)*(2*n - 3 + 3).\nAnswer: 762*n**5 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/159272687 and -22\/159272687.\nAnswer: 159272687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/716 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 14181 = 5*l - 2342, -5*l - 5*v + 16535 = 0. What are the prime factors of l?\nAnswer: 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 9*s**2 - 10*s - 3. What is the remainder when 51 is divided by m(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aassaaasassasaas?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -70\/2396601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 1\/3, 1\/2, -7545?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s - 13. Suppose -5*d - 5*o + 10 = -2*o, -35 = -2*d + 5*o. Let z(c) = 2 + 3 - d - c + 3. Let g = -2 - -11. What is g*z(f) + 2*m(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1909296 rounded to 4 dps?\nAnswer: 0.1909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/228*30 - 650\/284. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 a when four letters picked without replacement from rraaaaaaaaaraaaraa?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n*(n**(-7)*n*n)\/n)\/n)\/n)\/n)\/(n\/(n**(-5\/4)\/n)))**(-15) assuming n is positive.\nAnswer: n**(675\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 216\/9*(-10)\/40?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3356948947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 20*n**2 + 113*n + 97. What is i(-12)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c = 10. Let r(v) = -3*v + 6 - 14 + 2*v**3 - v**3 - 10*v**2 - 2*v**3. Let t be r(c). What is the greatest common factor of 55 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.65 - 15.650847. Round a to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqh when three letters picked without replacement from ohshqss?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -13*m. Let b(u) = -10*u. Determine b(h(f)).\nAnswer: 130*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*t**3 - 12374*t**2 - t + 387085 wrt t?\nAnswer: -12*t**2 - 24748*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 53 (c) -1\/16 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8616 + -6a?\nAnswer: -8685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3)\/f)\/((f\/f**(2\/21))\/f))**(2\/41) assuming f is positive.\nAnswer: f**(-52\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 337.63 - 336. Let z = o + -1.63028. What is z rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.7518 (b) 0.5 (c) 62\/45 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10 - 6)\/(-4) + 2230\/1854. Let h = x + 2\/103. Let d = -2.72 - -2.73. Which is the closest to -2? (a) d (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/7260 and -43\/528?\nAnswer: 29040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1198099 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4418 at most as big as 4420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-5*sqrt(77))\/sqrt(7) + sqrt(539) + 5 + sqrt(539) + -2) + -2)**2 + -5.\nAnswer: 18*sqrt(11) + 887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 - -1.3. Let k = l - 0.2. What is the third biggest value in k, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**6\/100 + 7*v**5\/300 + v**4\/30 - 2*v**3 + 8. Let a(t) be the third derivative of g(t). Determine o so that a(o) = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17811 equal to -22283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 37*i**2 + 34*i - 70. Calculate y(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*t + 1078 = -1338 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1439295947\/118476 + -67\/59238. Let s = 12140 - m. What is the common denominator of -41\/8 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(5) + -3).\nAnswer: -9 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/15*(-7)\/(-14).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56408 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqjwomm. Give prob of sequence mn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 4*y**2 + 6*y - 5. Let f be z(3). Solve 0 = -2*x - f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -29 - 12) + -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 7*h + 8. Suppose 0 = 4*s + 9 - 81. What is the least common multiple of s and r(-6)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w - 147. Let c = -58 + w. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: Let u = -7 + 0. Let s = -4050 - -4048. Let c be -5490000 + (s - -2)\/(u\/7). Round c to the nearest one hundred thousand.\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49381438?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2911 and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3054.52 + 3107. Let w = -4.08 + p. Let q = -48.4219 + w. What is q rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**4 - 74*v**3 + 4*v**2 + 114 wrt v?\nAnswer: 96*v - 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -167990 + 167992.300095. Let t = -2.3 + p. What is t rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Let l = -48 + 48. Suppose g + l*g - 11 = x. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 981854384 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -b + 3*c, -2*b - 2*c - 4 = -18. Solve -3*m + b = 3*n, -3*m + n + 3*n - 16 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + (sqrt(320)*-2)**2 + -1 + sqrt(320) + -5).\nAnswer: -3819 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-105)\/(-84)*(-4)\/10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 4*z - z + 7*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*v - 4557 - 1392 = 344 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 8 = -23. Suppose 0 = -5*z + f - 5, 0*z + k*z - 5*f = -25. Find u, given that -2\/3*u**2 + 0*u**3 + 2\/3*u**4 + z - 1\/3*u + 1\/3*u**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.43 - -16.416. Let s = 0.014 + h. Let i = s + -18. Which is the nearest to -0.2? (a) 4 (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 12:02 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**6\/40 - l**5\/30 - l**4\/4 - 7*l**3\/6 + 10*l**2 + 17*l. Calculate s(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 11:51 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5706 divided by 6\nAnswer: -951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 4*y = 0. Which is the closest to -0.2? (a) 2\/9 (b) 8 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 8:56 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = h - 2361, -5*h = 15. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(1\/(0 - 1)). Suppose 4 + 3 = 7*j. Let k(c) = 42*c - 81*c + j + 42*c. Calculate k(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 - 6*c - 9. Let v be i(-3). Let j be (-13377)\/(-196)*v\/14. Which is smaller: j or 177?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 23*d**6\/120 - 11*d**5\/30 + d**4\/12 - 157*d**3\/3 - 754*d**2. Find the second derivative of q(m) wrt m.\nAnswer: 138*m - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 376?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79024843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0507284 millennia in years?\nAnswer: 50.7284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**3 + 68*q**2 + 110*q**3 - 202*q**2 + 65*q**2 + 70*q**2 - 2 to the form c*q**3 + y*q**2 + s*q + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 33 = 5*s + 50, -y - 49 = 3*s. Let o(x) = x**2 + 6. Let k(m) = 3*m**2 + 17. Let w(j) = s*o(j) + 6*k(j). Factor w(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*k - g, 0*k + 5*g + 65 = 5*k. Suppose 5*d - 2*z - 80 = 3*z, -3*d = -z - 48. Let c = d + k. What is the remainder when c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -48, -137, -248, -363, -464, -533, -552?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/14))**(5\/3) assuming f is positive.\nAnswer: f**(-5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 u, and 1 o when three letters picked without replacement from ooppcpupoucp?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 311600000 to the nearest 1000000.\nAnswer: 312000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*n**2 + 17*n**2 + 2*n + n - 2*n**3 wrt n?\nAnswer: -12*n - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1818*c**2\/5 - 5432*c\/5 + 66\/5 = 0 for c.\nAnswer: -3, 11\/909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*v = -15 - 14, -o + 4*v - 13 = 0. Suppose -2*r + r - 2 = 5*n, -2*n = 5*r + 10. Which is the closest to n? (a) o (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/(-1196))\/(0 + -7 + (-3)\/(144\/(-344))).\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 3:22 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 761\/(-240) + 94\/235 and -23\/15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 328*h - 650*h + 383*h)*(-3*h + h + 0*h)*(7*h**2 + 12 - 12).\nAnswer: -854*h**4 + 28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u - 2*u + 0*u + 5*u. Let p(q) = 15*q**2. What is v(p(g))?\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 102*f - 10626. Calculate w(64).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = -4. Differentiate w**2 + 6 + 2*w**h + 3*w**2 with respect to w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 133132888 and 560.\nAnswer: 1331328880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 327085911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 1 + 3 - 2.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8076553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + (-240)\/(-25) + (-154)\/(-210))\/(30\/(-225)).\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**4\/24 + 3*t**2. Let i be g(5). Solve 3*v - 5*s = 0, -v = i*s - 10*s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*t - 30 + 76 = -264 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 c, and 1 w when three letters picked without replacement from kwcwr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 6. Suppose -3*t = -5 - 19. Determine l(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4487 divided by 7.\nAnswer: -641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3174, -6387, -9604, -12825, -16050, -19279, -22512?\n\"Answer: -2*w**2 - 3207*w + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.87 and -1.\nAnswer: 1.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 57350, 57356, 57394, 57482, 57638?\n\"Answer: 3*z**3 - 2*z**2 - 9*z + 57358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1557873.\nAnswer: 3, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 3*z - 2*z + 0*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*r = -299 - 445 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**3 + 4*s**2 - 13*s. Let c(i) = i**3 - 9*i**2 + 9*i - 5. Let f be c(8). Let z(w) = -w**3 + 3*w + 3*w - f*w - w**2. Determine 2*g(y) + 9*z(y).\nAnswer: y**3 - y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 10:46 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkktexjje. What is prob of sequence tb?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o. Let h(v) be the third derivative of -5\/24*v**4 + 0*v**3 + 0 + 3*v**2 + 0*v. Determine z(h(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:02 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -14*h**2 - 13*h + 12. Calculate f(2).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7722.596 decades in millennia?\nAnswer: 77.22596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**2 - 8*n**2 - 19 - 2*n**3 + 20 + n + n to the form q*n**3 + c + g*n**2 + i*n and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4070585031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 17\/3*h**3 + 0*h + 25\/2*h**2 - 26. Find the second derivative of t(m) wrt m.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 157*-3 + 3. Let g = -84 - t. Let m = g - 243. List the prime factors of m.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 133 (c) -0.3 (d) 1 (e) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 - 2*c**2 - 2*c + 1. Let s(y) = -49*y**3 - 17*y**2 - 12*y + 6. What is -6*q(z) + s(z)?\nAnswer: -31*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 14*f**2 + 11*f + 33. Let r(d) = 5*d**2 + 4*d + 11. Let v(n) = 4*o(n) - 11*r(n). Determine v(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -361, -350, -349, -364, -401, -466, -565, -704?\n\"Answer: -t**3 + t**2 + 15*t - 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, z: 1, l: 1}. What is prob of sequence lb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -0.9.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7336*0.07\nAnswer: 513.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*l = -100. Let j = 0 - l. What is the second derivative of 12*b + j*b - 41*b - 11*b**3 wrt b?\nAnswer: -66*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 187*h - 188*h + 36, 5*t + 4*h - 54 = 0. Calculate the smallest common multiple of t and 11985.\nAnswer: 23970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b2e - -1c92?\nAnswer: 37c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.115 and 11.4391.\nAnswer: 1.3154965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k + 605. Let p = k - 290. What are the prime factors of p?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0 (c) -4 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 25 + 5. Suppose 0 = -4*c - t*a - 12, -c - 5*a - 26 = -4*c. Suppose 5*r + 4 = 2*h, c*h - 2*r = -2*h + 8. Is h less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 3:24 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3612 and 17598?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*n + 12 = 0, 2*t + 2*n - 12 = 4*n. Suppose -5 = -48*q + 53*q. Put q, t, -4, 15 in decreasing order.\nAnswer: 15, t, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250929.\nAnswer: 3, 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*i + 2706 = 231*i + 733 - 6217 for i.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**5 + 2*t**4 + 28*t**3 + 7218*t wrt t.\nAnswer: -40*t**3 + 24*t**2 + 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19890 is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-25)*1 + 4\/10. Suppose x + 5*x - 12 = n. Solve -x - 2 = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**4 - j**2 - 1. Let g(x) = -15*x**4 + 5*x**2 + 13. Let s(q) = -g(q) - 5*k(q). Differentiate s(u) with respect to u.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 2. Let f be -5*(-6)\/(-30)*(-10)\/(-2). Calculate t(f).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a century in years?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 2*p + z + 17, 26 = 7*p + 2*z. Calculate the remainder when 29 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 225, 229, 233?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 15. Let s(i) = -2*i + 29. Let l(x) = -7*r(x) - 4*s(x). Calculate l(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w + 2. Suppose -i - 32 = y - 29, -4*i + 5*y + 42 = 0. Let d be (0 + 10\/(-6))*-15. Suppose -5*n = 2*a - d, i*a + 0*n = n + 12. Calculate u(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 314248 and 296956.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**3 - 80*j**2 - 400*j = 0?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-6) + 58\/(-12). Let b(u) = -2*u**2 - 6*u + 5. What is b(v)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/816 + 232222\/32160?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307241095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 - 4*y**3 + 4*y**3 - 9*y**3 + 6*y**3 - 5*y**3 + (-3 + 0 + 1)*(-y**3 - 2*y**3 + 2*y**3) to c + r*y + a*y**2 + g*y**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2884 divided by -1442\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*(3 + (sqrt(14)\/sqrt(7)*-5 - sqrt(2))))**2 + -2 + -3.\nAnswer: -144*sqrt(2) + 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 24. Let u(y) = -2*y**3 + 5*y**2 + 2*y. Let w(x) = -3*x + 2*x + 2*x**2 - 3*x**2. Calculate q*w(b) + u(b).\nAnswer: -2*b**3 + 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -415\/56388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 7:22 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9406?\nAnswer: 2, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from {t: 2, d: 4, r: 1, q: 7}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z - m - 25 = -24*z, -z = -m - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 59*p. Let h(k) = 79*k**2 + 71*k**2 - 270*k**2 + 73*k**2 + 68*k**2. Give u(h(v)).\nAnswer: -441*v**4 + 1239*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s - 31*s + 2515 = 0. Let t = -214 - s. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 995259?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30100283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l + 0*l**2 + 13*l - 7 + l**2 + 0. What is v(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h = 4*t - 16, -2*t + 3*h = -24. Find the third derivative of -3*b**6 - 47*b**5 - 2*b**2 + 64*b**5 - 36*b + 5*b**t wrt b.\nAnswer: 240*b**3 + 1020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.15 + -15.4. Round l to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2086196708 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008022 to 4 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -15*i**2 + 42*i - 43. Let w(k) = -8*k**2 + 24*k - 22. Let f(v) = -6*u(v) + 11*w(v). Find p such that f(p) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(245) - (2 + sqrt(245) + 2*sqrt(245)))**2 + sqrt(245) + -5 + (sqrt(245) - (sqrt(245) + 1))).\nAnswer: 252*sqrt(5) + 3912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14805*r**3 + 46*r + 17 wrt r.\nAnswer: 88830*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 2. Suppose 0*c = 4*c - 12. Let j be 0\/((-42)\/(-7)) + c. Put r, 2, j in decreasing order.\nAnswer: j, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/88)\/((-53)\/(-9646)) and 0 - 77*2\/12.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**2. Let j(r) = -13*r. Let y(h) = -104*h. Let w(u) = -39*j(u) + 5*y(u). Calculate l(w(a)).\nAnswer: -1014*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -10 + 3. Let i = 3 + -2. Is i less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 1912 = 3*o. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 - 3*n**2 - n. Let h(a) = -4*a**3 + 7*a**2 + 3*a. Determine 5*c(v) + 2*h(v).\nAnswer: 2*v**3 - v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -49. Let f = h - 24. Find the second derivative of -5*k + 3*k**5 - 66*k**f + 66*k**2 wrt k.\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s**3 - 4*s**2 + 231*s - 3941. Let o(b) = 7*b**3 - 3*b**2 + 234*b - 3942. Let v(i) = 4*o(i) - 3*u(i). What is the derivative of v(n) wrt n?\nAnswer: 21*n**2 + 243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u = q + 24, -q = -2*u + 51. Suppose 4*t + 15 = 4*f - 13, 0 = 5*t - 3*f + u. Suppose 3*m = s - 9, 0 = 5*s - 20 + 5. Does m = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 13 (b) -1\/4 (c) 1\/4 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 417.4 less than 1.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + (-5 + sqrt(180)*3 - (sqrt(180) + sqrt(180) + 1 - sqrt(180))*5))**2.\nAnswer: 456*sqrt(5) + 1081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233 + -77. Suppose g + 5*g + f = 0. Let d = 24 + g. Which is greater: d or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -154494, -309043, -463592, -618141?\n\"Answer: -154549*o + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5587008?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/5 - (-23)\/(-115). Suppose -11*a - t = -13*a. Solve -3 = c - a*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 328 - 309 - (18 - 1) - (7 + -10 - -61)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -13*t + 4. Let o(x) = 24*x - 9. Let q(p) = 5*j(p) + 3*o(p). Let w(r) be the first derivative of 5*r**2 - 10*r - 29. Calculate -7*q(y) + 5*w(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y = 36*y - 93*y + 120 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -4 - (0 - -1) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 654\/(-15) - 6\/10*-1. Let m = -40 - q. What is the third derivative of -20*u**2 + m*u**5 + u - 26*u**5 - u wrt u?\nAnswer: -1380*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 5*g**2 - g + 5. Let n be ((-24)\/2)\/(4\/(-6)). Let r = -13 + n. Let v be a(r). Solve v = k - 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/i**(-2))**(-26)*i*i**(-4)*((i*i**(-6\/11))\/i)\/i*i assuming i is positive.\nAnswer: i**(-1469\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1240643, -1240644, -1240645, -1240646, -1240647?\nAnswer: -1240648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 + 7*8\/12. Suppose 0 = -q - 3*q + 24. Let k = j + q. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*h - 4*h. Suppose 0 = -2*c + 3 - h. Solve 1 = -o - c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.034 - 0.244. Let w = 244.59 + -243. Let a = w - x. What is a rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -189783.\nAnswer: 4\/189783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*k - 211 - 232 + 422 - 174*k.\nAnswer: 2*k - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (164\/110)\/(-1) + 4. Let q = 12\/11 + o. Find the common denominator of q and 97\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13401 and 88713?\nAnswer: 132093657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132 + -130. Suppose -3*s = -n + 9, -5*s - 4 = g*n - 0*s. Suppose -n*y + 13 - 1 = 0. Solve -4 = y*r - 6*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2 - 28*w - 8. What are the prime factors of n(-8)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5*c = 12*s + 75 + 18, 169*c + 12 = -2*s + 165*c for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - w + 5*w)*(-2*w - 2*w + 3*w) + (6*w**2 - 2*w**2 - 2*w**2)*(392 - 105 + 280).\nAnswer: 1133*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/4 - 46480*f - 2160390400 = 0. What is f?\nAnswer: -92960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 8 + 8)*(2*x + 2*x - x).\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-21) - (1 - 19146\/21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 1852624.\nAnswer: -5\/926312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*g**3*x**2*z**2 + 451*g**3*x*z**3 + 49441*g*x**2*z**3 + 607*g*x**2*z**2 + 2*g*x**2*z + 5*g*x*z - 7*g*z**2 wrt z.\nAnswer: 2706*g**3*x + 296646*g*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 - 9*j**2 - 17*j + 60. Calculate g(6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (50\/15)\/(2\/3). Suppose s = -r*x - 4*s - 10, 2*x + 5*s = -10. Suppose x*k = -k. Which is the nearest to 0? (a) -1\/4 (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 16*h**3.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.92 + 15.82. Let m = n + -15. Which is the third biggest value? (a) m (b) 0.4 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29799085 divided by 5959817.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(65) - sqrt(65) - sqrt(65))\/sqrt(5) - sqrt(78)\/(sqrt(60)\/sqrt(10)) - (4 + sqrt(13)*-4*-1 + -3))**2.\nAnswer: 18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.4 (c) -4 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = -6*k - 70. Is k at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1946175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001015446 to five decimal places.\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -11*m + 32. Determine y(12).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 21. Let y = g + -8. Which is the nearest to 1\/4? (a) -0.05 (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13 (b) -12 (c) 120 (d) -5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*g + 2*g**2 + 45 + 71*g - 47 + 2*g**3 to the form v*g + w*g**3 + n*g**2 + l and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17884258 by 4.\nAnswer: 8942129\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 236 and 30916.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(16 + 1 + 2)*(-26*f**4 + 54*f**4 - 20*f**4).\nAnswer: -304*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-66)*7\/(-63)*-12.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = -1. Let d be a\/((-15)\/13 - -1). What is the highest common divisor of 78 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152 (base 7) to base 10.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 2*f**2 + 0*f**2)*(-4*f**2 + 0*f**2 + 3*f**2) + 4*f**2 + 99*f - 99*f - 2*f**4 - f**3.\nAnswer: -f**4 - f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, p: 4}. Give prob of picking 4 p.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11629 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2585*v - 1101*v - 326*v.\nAnswer: -4012*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6480289.\nAnswer: 6480289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -18.5*-4.9208\nAnswer: 91.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - -6*(sqrt(30) - sqrt(2430)))\/(-3*sqrt(490) - sqrt(490)))**2.\nAnswer: 6627\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -68. Calculate the least common multiple of 40 and w.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566*u - 3828 = -577*u. Is 30 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -2\/17, -0.3 in decreasing order.\nAnswer: 2, -2\/17, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivcc. What is prob of sequence ivcc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-6) + 136\/48. Let h(l) = -5*l - 2*l**2 - x + 20*l**3 - 40*l**3 + 21*l**3. Let u be h(4). Solve 3*a + 3*n - 2 = -11, -n - u = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-6)\/(-4))*-3. Let h(t) = 10*t - 41. Let b be h(4). Let s be b\/g*-6*-6. What is the highest common factor of 162 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 245519012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w**4*w*w)\/w))\/w)**(1\/4)*(w*w**(-5)*w*w)**(-2\/31) assuming w is positive.\nAnswer: w**(-85\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40506619?\nAnswer: 4219, 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1014 and 2197.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2873292 is divided by 225?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 3*q - 7*q - 30 + 10 = -7*q - 2*a, -31 = -71*a + 40 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.058 + -0.05799791. Round l to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**4 + 4*y**4 - 2*y**5 + (3*y**2 - 2*y**2 - 2*y**2)*(2*y**3 - 5*y**3 + 2*y**3) - 2*y**5 + 2*y**5 - 3*y**5 - 32*y**5 - 3*y**5 + 2*y**5.\nAnswer: -37*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 469565 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*g - u + 11, -28 = -g + 5*u. Differentiate -8*h - 10*h + 4*h**2 + 18*h + g with respect to h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*j = 129, r = -5*j + 16 + 46. Suppose 112 = -3*a + 7*a + 4*w, -4*a = -5*w - r. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-1))\/(4*(-5)\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1032337, 1032341, 1032347, 1032355?\nAnswer: 1032365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 13 = -3*g + 2*s, -13 = 4*g - 3*s. Let o be (0 - 1)\/(g - -5). Does o = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-5 - ((10 - 6) + -5))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 4*d**2 - 4*d + 2. Let g be f(2). Let n = 2.6 + -3. Let p = n - -0.3. Which is bigger: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 1:36 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -126, -154, -202, -276, -382, -526, -714?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 69. Let y be n(0). Let t be 15582\/(-265)*(-20)\/18. Let g = y + t. Is -4 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23616596.\nAnswer: 2, 5904149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 34d87?\nAnswer: 34d84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169118 = q + 3*j - 470870, -q + 640012 = -3*j. Suppose 2*d - 3*f = -3, 3*f - 12 = d - 2*d. Suppose p = -d*p - q. Round p to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(343) + (sqrt(343) - -2*sqrt(343)) + 2)**2 - ((sqrt(567)*-2)**2 + sqrt(567) - (sqrt(84)*3)\/sqrt(12)).\nAnswer: 106*sqrt(7) + 3229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*s - 318 = -422 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (62056\/10)\/2 + (-119)\/(-595) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q + 3*q - 2*q)*(5 + 9 - 22)*(3*q - 6*q + 2*q) to i + d*q + r*q**2 and give r.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62889959?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6702288.\nAnswer: 2, 3, 19, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(10))**2*1 - 2*(sqrt(11) + 2).\nAnswer: -2*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 54, 50, 44, 36, 26, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9695\/15*(2 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**(-4\/5))\/(p\/(p\/((p*p**(-2\/29))\/p))*p))**47)**(5\/3))**(-2\/81) assuming p is positive.\nAnswer: p**(-1316\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 17. Let m be t(-9). Let k(w) be the first derivative of -w**3\/3 + 9*w**2\/2 - 12*w + 2463. Determine k(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*j = -1792 - 863. Let u(h) = 3*h**2 + 3*h - 4. Let q be u(-6). Let r = q + j. Calculate the highest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*d = -65*d + 55 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 176482845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 12:20 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 472 divided by -293\nAnswer: -472\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v - 3*v - 3*v + 6*v - 2*v - v + (-10 + 8 + 22)*(2*v + 3*v - 4*v) as j*v + w and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -31*m**3 + 1104304*m**2 + 2208701*m + 1104366 = 0. What is m?\nAnswer: -1, 1104366\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -48*q**7\/7 + 25*q**3\/3 - q**2 + 25. Find the third derivative of j(v) wrt v.\nAnswer: -5760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 12:37 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**2 + 7*z. Let c be y(-3). Let f = 0 + c. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 3*w = 2*d - 2, -2*d = 5*w - 4. Suppose -2*s + 0*s = -20. Suppose -3*h = -j - s - 20, 0 = 5*j. Calculate the smallest common multiple of h and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10710418 divided by 566\nAnswer: 18923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20100 - 1212120220?\nAnswer: -1212211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -451\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 12*h**2 - 299*h + 62. Calculate the remainder when 1043 is divided by p(25).\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*b*j*z + b*j - 2317*b*z**2 - 2*b*z + 6*j*z**2 - 2*j wrt j?\nAnswer: 6*b*z + b + 6*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 38?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {n: 1, w: 9, o: 2, z: 7}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2433.3819935 rounded to 1 decimal place?\nAnswer: -2433.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 divided by -4?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44589 = -20*n + 2731. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnza when four letters picked without replacement from {n: 7, a: 3, z: 9}?\nAnswer: 63\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*(0 + sqrt(468))*-4 - -5*sqrt(468)*5*-3))**2.\nAnswer: 1857492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -191938 + 191199.008. Let j = o + 739. What is j rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*x = 176*x - 42. Let q(p) = -p**3 + 6*p**2 - 2*p + 7. Determine q(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11, -74, -223, -442, -737, -1114, -1579, -2138?\n\"Answer: -t**3 - 26*t**2 + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -7*u + 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175 - 174. Let f = -1 + 0.8. Which is the nearest to 0? (a) f (b) 0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/(s\/s**(2\/47)*s)))**(4\/17)\/(s**(-6\/13))**19)**(-2\/51) assuming s is positive.\nAnswer: s**(-62284\/176579)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.04 (b) -0.5 (c) -104 (d) -16 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 17. Suppose 4*a = w + 5, 0 = d - 3*a - 32. Calculate the remainder when d is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 422, -52, 75\/7.\nAnswer: -52, 75\/7, 422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 6.1. Sort o, 0, -0.3.\nAnswer: -0.3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46.314 and 1.\nAnswer: -46.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0207 + -0.3793. What is the smallest value in -0.5, t, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.05, -0.03, -43, -2\/9 in decreasing order.\nAnswer: 3, -0.03, -0.05, -2\/9, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 3. Let w(c) = c**3 - 5*c**2 + 4*c. Let h be w(4). Let l be z(h). Let u(p) be the third derivative of -p**4\/12 + p**3\/6 - 2*p**2. Determine u(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 40*p**3 + 1265*p**2 - 33780*p + 148500 = 0.\nAnswer: -50, 6, 99\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jusjvjucujcuc. Give prob of sequence ccvs.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 10101001110010101111111101?\nAnswer: 10101001110010110000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 315614 to the power of 1\/2, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0730044531 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*g - 2295 + 932 = -589 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 3 = 0. Let a = 5 + -4. Sort a, y, -3.\nAnswer: -3, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/20 and 61303\/29766 + -3 + 1.\nAnswer: 27060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -12. Solve w = -2*c - z, -20 = 3*c + 5*z - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3 - 39*j - 1\/2*j**4 + 59\/2*j**2 + 0 = 0. Calculate j.\nAnswer: -13, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 4*j. Let y be u(2). Which is the second smallest value? (a) 2 (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301384.45 - -1137?\nAnswer: -300247.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*h + 48*h + 49*h + 42*h + 48*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0*j + j)*(-19 + 19 - 10*j**2) in the form m + c*j**2 + u*j**3 + x*j and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -337*g + 516.\nAnswer: -337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4116159 and 3228360.\nAnswer: 164646360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 139\/4. Let n = 2\/51 - 12\/17. Which is bigger: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23644580\/387 + 61097. Calculate the common denominator of 67\/3 and d.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13879640 + 24062082. Let q = u + -18062442. What is q rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d = -14. Let m(q) = -q**3 + 6*q**2 + 11*q - 8. Is m(d) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/12 - 175*f**4\/8 + 3*f**2 + 13. Factor m(v).\nAnswer: 5*v*(v - 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.066 (c) -0.061 (d) 0.1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 7517978267?\nAnswer: -7517978266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75 + -60)*(18\/15 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 73 + 9b4a?\nAnswer: 9bbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 6*u - 3*d + 1623, 0 = -3*u + d - 1211. Let c be ((-20)\/(-3))\/((-4)\/u). Find the common denominator of -62\/3 and ((-2)\/40)\/(4\/c).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -681 - -682. Which is the closest to u? (a) -2\/23 (b) 3 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 10*w - 1400 = 0. Does 25 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + 4*r**2 + 3*r**2 - 5*r**2 - 7*r + 7*r + 0*r + 0*r - 2*r**2 + (0*r + 2*r**2 + 0*r)*(-2 + 1 + 0) in the form s*r**2 + b*r + x and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c - 2*g - 8, 3*c - 4*g = 10. Suppose d + d = c. Let r(f) = -f**3 + 0 - 2*f + d + 5*f**3 - 5*f**3 + f**2. Give r(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -670, -2778, -6328, -11344, -17850, -25870?\nAnswer: -35428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93029882.4ms to weeks.\nAnswer: 0.15381925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6338 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/132 and -101\/330.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 306130745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -208, -410, -604, -790, -968, -1138?\n\"Answer: 4*k**2 - 214*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1*23.3272.\nAnswer: -48.98712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/36 and 45\/268?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15457, -14121, -12001, -9103, -5433?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14725280 divided by 3681320\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 12. Suppose 5*a - 8*m + 335 = -y*m, -4*m = -a - 48. Let r be 38\/34 - (-8)\/a. Do r and 1\/96 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 475801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -26*d**3 + 5*d**2 + 7*d - 7. Is r(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 32492*b**2 - 32495*b - 8124.\nAnswer: (b - 8124)*(2*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 - 3*y**3 - y**2 - 2*y**2 + 3*y**2.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5038 is divided by 112.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a micrometer in nanometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*j*o**2*z + 9*j*o - 25*j*z - j + 2*z wrt o.\nAnswer: -18*j*o*z + 9*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 - 7*j - 9. Let x(a) = -6*a**2 - 20*a - 26. Let q(u) = -11*t(u) + 4*x(u). Let s(n) = 5*n**2 + 7*n + 11. Give 9*q(f) + 4*s(f).\nAnswer: 2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*h - 5 = 0, -2*h = -l - 0*h - 2. Solve -5*b = -l*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-768))\/((-1188)\/(-48) + -25).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.017, -977.\nAnswer: -977, 0.017, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2665? (a) -0.1 (b) -2\/5 (c) 1 (d) 2 (e) 5\/6 (f) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 0, -8, -0.0471, 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2*(-42)\/16)\/(1\/(-4)). What is the units digit of ((-3)\/9)\/((u\/(-3))\/(-7959))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 211.6192 to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10 + 20 + 8)*(-32)\/3. Let g be (-16)\/i + 1\/6. Sort 9, 0.2, g.\nAnswer: 0.2, g, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) + 2*sqrt(135))*2 + (sqrt(135)*-2*6 - sqrt(135)))\/(sqrt(20)\/(sqrt(44)\/sqrt(99)))*-2.\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.72 and 1?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51488, 51483, 51480, 51479, 51480, 51483?\n\"Answer: c**2 - 8*c + 51495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 653.081 weeks in nanoseconds?\nAnswer: 394983388800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 1. Let r be m(-1). Suppose -4*x + 2*x = r. Suppose 5*z + 2*f = 28, -3*z + 15 = -x*z + 3*f. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76557.92099 - 76556. Round p to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*a - 2*g - 144, 169 = 5*a - g. Suppose -a*l + 39*l = 0. Solve -i - 3 + 2 = l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/176 and 103\/2368?\nAnswer: 26048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 19*x**2. Let k(r) be the first derivative of -r**2\/2 + 53. Give v(k(c)).\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**3 + b. Let x(d) = 5*d**3 - 5*d - 4. Let k(j) = 14*j**3 - 14*j - 11. Let z(i) = -4*k(i) + 11*x(i). Calculate -n(v) + 2*z(v).\nAnswer: v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 164327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927805?\nAnswer: 5, 97, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*s + 1864 = 133*s. Let o(n) = 234 + 2*n**2 + 0*n - n**3 - 4*n**2 - s - n. What is o(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r - 12 = 0. Let c be 6\/r - 11\/(-2). Suppose -l = -2*l + 2*a + 25, -a = c. Solve -2*f = -3*f - 2*p + 10, 2*f + 3*p = l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1084 = -126788\/117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 - 2*q**2 - 8. Let j(n) = 39*n**3 + 27*n**2 + 105. What is -54*a(k) - 4*j(k)?\nAnswer: 6*k**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1888 - 1845. Calculate the remainder when 144 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2787?\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/3 (b) -23758 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-2 - sqrt(228))\/sqrt(12) - (sqrt(171)\/(sqrt(9) + sqrt(9)*-2 - sqrt(9)))**2.\nAnswer: -3*sqrt(19) - 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at least as big as 165\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4827 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 41*o + 630 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/110688 and 119\/311310.\nAnswer: 4980960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 2:55 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - s**2 - 2*s - s - 1. Let f be i(-6). Let x = f - -11. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 470\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**4\/24 - 20*q**2 + 3. Let n(y) be the first derivative of -20*y**2 - 26. Determine l(n(x)).\nAnswer: 40*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3290 + 3485. Calculate the highest common divisor of g and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 x when three letters picked without replacement from qqxqx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5878953725 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - v**2 + v - 24. Let h = -50 - 8. Let j be (-2)\/4*(h - (9 - 5)). Let t = j - 31. What is r(t)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326275381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 30*q + 32. Determine n(-15).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 12*g**2 + 3*g - 4. Let l(b) = -2*b**3 - 11*b**2 + 2*b - 3. Calculate -2*a(s) + 3*l(s).\nAnswer: -2*s**3 - 9*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 4:35 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2464*v**2 + 114 - 206 + 92 to q*v + w*v**2 + x and give w.\nAnswer: -2464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*l**2*s**3 + 18139*l**2*s**2 + l*s**3 + l*s - 142*s**3 wrt s.\nAnswer: -420*l**2 + 6*l - 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 1.6, 2, 3, -3\/4 in decreasing order.\nAnswer: 3, 2, 1.6, -1\/2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 6. Let t be u - (-15)\/(-6) - 0. Let l = 1\/6 - t. Put 3, l, 0.2 in descending order.\nAnswer: 3, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/296 and 65\/3?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, -34, -70, -108, -142, -166?\n\"Answer: b**3 - 10*b**2 - 5*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 79864, 79815, 79766, 79717, 79668?\n\"Answer: -49*j + 79913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - r - 2. What is k(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 6*n**2 - 3. Let m be i(5). Suppose 4*y = 7*y - 9. Solve 4*x = -5*z - 4, -m = -y*x + z - 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67346.1us in milliseconds?\nAnswer: 67.3461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 + 59. Let m = u - -40. Is -2\/293 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-684)*-10 + (-10)\/(-95). Let w(a) be the first derivative of i*a**3 + 4 + 50\/3*a - 10\/3*a**2. Factor w(p).\nAnswer: 2*(p - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 - 2)*(-3 - 2*o + 3) + 5*o + 0*o - 4*o - 2 to s*o + p and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3848\/(-39))\/(-74))\/(4\/111).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 3. Let k be (-17)\/(-3) + v\/(-9). Suppose 82 + 303 = k*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119520 - -391279. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 9:10 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 154596974*v**2 - 23239878 wrt v?\nAnswer: 309193948*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -1\/70*f**7 - 1\/3*f**3 + 2*f**2 + 0 + 0*f**4 + 0*f + 0*f**5 + 0*f**6. Differentiate o(p) with respect to p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 601079\/918204 + 3\/21862. Calculate the common denominator of -83\/4 and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122023 + 1?\nAnswer: -122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) -3 (b) 0.3 (c) -12\/5 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**4\/8 - 27*f**2. Let h(m) = -m. What is h(y(o))?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-4 - -3)\/((-1)\/2). Suppose g - 30 = 4*d, l*d = -g - 2*g + 26. Suppose j = g + 1. Solve -5*x - j + 60 = -4*m, -5*m - 40 = -3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 26*r**3 - 20*r**3 + 8*r**3.\nAnswer: -38*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -112140, -2\/7, 1\/3?\nAnswer: -112140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -19) + (8 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*y + 16 = 0, 2*r + 3*y - 6*y + 12 = 0. Let j(d) = -3*d + 16. Is j(r) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**4\/6 + 7*l**3\/6 + 5*l**2\/2 + l - 1. Let y(p) be the first derivative of b(p). Is 12 a factor of y(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/45*(-6)\/(-7) - (-5328)\/147630\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -695, -1\/3, 4, -4, -2, -21, -0.55?\nAnswer: -695","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43606 or -1835?\nAnswer: -1835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 120, 119, 100, 57, -16, -125, -276?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(14*f - 77*f - 8*f)*(3*f**3 + 0*f + 0*f).\nAnswer: 213*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002277 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 692, 1889, 3696, 6137, 9236?\nAnswer: 13017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5913835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b. Let o(i) = i + 10. Let z(n) = -2*k(n) - o(n). Suppose 4*p + 7 = 67. List the prime factors of z(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 1. Let x(p) = -3*p**2 - 4*p + 29. Let t(c) = 2*q(c) - x(c). Let y be t(6). Let k = y + -29. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 3564?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42744 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 127767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**3\/3 + 25*j**2\/2 + 11*j. Let o be f(-13). Let k be -8 + 13 - (2 - o). What is the smallest value in -0.5, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -108, -353, -594, -831?\n\"Answer: 2*y**2 - 251*y + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 135\/25 - 2\/5. What is the units digit of 2 - ((0 - x) + (-198)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15824 divided by 23?\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -35*h**2 + 283*h + 15. Determine y(8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 + 10. Let t(h) = 2*h**2 - 8. Let s(w) = -4*j(w) - 5*t(w). Let b(o) = 12*o**2 + 3. What is b(s(y))?\nAnswer: 48*y**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f**2\/3 - 144812*f - 467824\/3 = 0. What is f?\nAnswer: -16708, -14\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179955263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/3))\/(b\/b**(-1\/3)))\/(b\/(b\/b**(-2\/7)))**36)\/((b\/b**(-7\/2))\/b**8)**(-39) assuming b is positive.\nAnswer: b**(-1767\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -2*w - w + 4*t, 6*t = -4*w + 230. Factor 64\/3 + 164\/3*m**2 + 74\/3*m**3 + 5*m**4 + w*m + 1\/3*m**5.\nAnswer: (m + 1)*(m + 2)**3*(m + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 357*f**2 - 4*f + 3. Let l be u(1). Suppose -5*c = 3*p - l, 0*c = 4*c + 3*p - 286. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 2.6 (c) -12 (d) -236 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 8 - 11 + (2 - 3 + 0)*(2 - 2 - 2))*(-u**2 - 3*u + 3*u)*(-3*u - 4 + 4) - u + 588*u**3 + 4*u - 608*u**3.\nAnswer: -83*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 2 - 2*v**2 - 6 + 4.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/36 + (80\/(-18))\/(-2). Suppose 2*w = -o*w - 4*t + 64, -3*w = -4*t - 13. Suppose 0 = 3*s - 1 - 14. What is the remainder when w is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-602)\/172 + (-1)\/(6\/(-1929)). Calculate the greatest common factor of j and 204.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**3 - 145*v**2 + 55*v - 229. Give a(48).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418229247 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**26*b**(-25)\/b*b*b*b)\/(b**(-1\/18))**42 assuming b is positive.\nAnswer: b**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f + 1. Let j be x(-2). Suppose -12 = 2*s - j*s. Suppose s*d - 45 = 55. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, 15\/7, -9354 in ascending order.\nAnswer: -9354, -3, -0.1, 15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-27) + -1)\/((-740)\/(-3330))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230179.\nAnswer: 43, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 6*s - 2. Let o be i(5). Let l(w) = w**3 + 6*w**2 - 6*w + 8. Calculate l(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -9, 0.5 in descending order.\nAnswer: 0.5, -0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 20*n + 4 + 7*n - 32*n. Let b(j) = j**3 + 4*j**2 + 3*j. Let o be b(-3). Let w be g(o). Solve 0 = -2*h + 8, 23 = 2*k + w*h + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) 4\/5 (c) 50 (d) -30 (e) 3\/4 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -393 divided by 10.\nAnswer: -393\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 753*g - 751*g. Which is the closest to -1\/2? (a) -20 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3940 and -23.\nAnswer: 3917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + 2*i**2 - 3*i**2 + (24 - 21 + 53 + 6)*(6*i**2 - i**2 + i**2).\nAnswer: 373*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 340 and 238.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -5 + 1 + 2. Let z(p) = -4*p - 4. Let c(h) = -1. Let a(w) = -14*c(w) + 2*z(w). Is a(v) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 - 0.05. Let j be (-12)\/(-10) - (252\/45)\/(-7). What is the closest to 0 in j, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(475)*-3*-1)**2*3 + ((-4*(3 + sqrt(475) - sqrt(475) - sqrt(475)) - sqrt(475)) + 1)**2 + -2.\nAnswer: -330*sqrt(19) + 68519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 232 in -4, 816, 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(10\/(-1)) - 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-7 - (-1 - 4) - 11) + 4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**4\/6 + 2*x**3\/3 - x**2\/2 + 2*x. What is the units digit of k(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/21 and (-20)\/9*(-105)\/98?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490111500 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 12*b = -21*b + 30. Solve -b*s = c + c, -3*c = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.5, 650\/7, 1\/4, -2.1, 1\/6?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4.24 * -78\nAnswer: 330.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 499. Is f(0) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**3*x + 3134*k**2*x**2 - 21*k*x**2 + 990*k*x wrt k?\nAnswer: 6*k*x + 6268*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 3:46 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2681 and -46\/1176193.\nAnswer: 8233351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*k - 14469 = -155030 - 2687. What is the highest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*f + 2 = -0*r, r = -2*f - 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114076.\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 0)*((0*g - 3*g + g)*(-1 - 1 + 0) + (-g + 0*g + 3*g)*(1 + 4 - 4) + 3*g - g + 0*g - 3*g + g + 6*g).\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 121*j**2 + 53*j - 1052. What are the prime factors of k(118)?\nAnswer: 2, 3, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113352 divided by 56676.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 5*d**2 + d - 7. Let l be i(5). Let p be (352 - 3 - 0) + l. Suppose -p - 41 = -4*r. List the prime factors of r.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 5 + 5. Let z(j) = -15*j**2 + 11*j - 11. Let k(m) = 8*m**2 - 6*m + 6. Let p(d) = -11*k(d) - 6*z(d). Determine u(p(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**7\/10 - 33*v**6\/40 + 39*v**5\/20 - 7*v**4\/8 - 3*v**3 - 38*v**2 + 2*v. Suppose j(u) = 0. What is u?\nAnswer: -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4, -4*m - y - 4120 = -71908. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3149 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, e: 1, y: 1, p: 3, l: 4, a: 5}. What is prob of picking 1 y and 1 l?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/6*1\/66. Which is the second smallest value? (a) q (b) 4\/3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 7*j + 17. Let r be h(5). Let s be 2\/2 + r + -4. Suppose -p + s*p = 381. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -21 + 27 - (0 + 0)\/1. What is the hundreds digit of (0 + o)*((-486)\/(-12) + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 284488 and 95288?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 10*l**2 + 20*l + 6. Calculate r(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1012 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 2*v**2 - 2*v**2)*(v**2 + 0*v**2 + v**2) + 0*v + 0*v - v**4 - 1327*v**4 + 391*v**4 - 1150*v**4.\nAnswer: -2083*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 120?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144870864?\nAnswer: 2, 3, 911, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -31*q**2 - 59*q + 35. Let c(t) = 3*t**2 - t + 3. Let i(b) = 2*a(b) + 22*c(b). Determine d so that i(d) = 0.\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 28*p**3 + 0*p + 2*p.\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20069212 minus -558.026?\nAnswer: -20068653.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.557 - 128.803. Let b = r - -131. Round b to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 + -201. Let i be 1\/(-2 + 9\/6). Is o\/(i\/(-1 - -3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, z: 2}. What is prob of sequence az?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/20 - 1\/5. What is the biggest value in t, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211 - 121022220222?\nAnswer: -121022222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 379*h**2 + 1221*h - 14. What is n(-4)?\nAnswer: 1166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -37*u + 10. Let r be i(6). Let m = r + 391. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 700557400 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 239657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 5. Let c(f) = f - 1. Let i be c(6). Suppose -q = -3 - i. Let d be o(q). Solve -d = -4*z + z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1975*z**5 + 882*z wrt z.\nAnswer: 39500*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-2)\/(-10) - (42\/(-15))\/(-14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37.9 + 38. Which is the biggest value? (a) l (b) -4\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 1372?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -3*h**6\/10 + 73*h**4\/12 + 863*h**3\/6 - h**2\/2 + 1028*h. What is the second derivative of n(u) wrt u?\nAnswer: -108*u**2 + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 11*x**2 + 2*x + 8. Determine i(4).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16266486869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 - 9. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 + 8*y - 7. Let z be u(8). Let a = z - -76. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + -1 + -3 + 3. Solve -4 = -4*u + q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4272 and -2126707.\nAnswer: -2130979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 6 - 6*c + 3\/2*c**2 = 0. Calculate c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 0*r**2 + 32 + 0*r**4 + 0*r + 0*r**6 - 31\/3*r**3 + 0*r**5 + 13\/7*r**7. Find the third derivative of o(c) wrt c.\nAnswer: 1560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from {w: 3, p: 12, c: 2, o: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - -1. Let u = 19 - w. Let y be -1*4*(-1 + -8). Calculate the highest common factor of y and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000010001011 - 100?\nAnswer: 10000010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**4*r**10\/r*((r**(-2\/5)\/r)\/r)**47 assuming r is positive.\nAnswer: r**(-499\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20644 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*l + 56*l - 124*l as y*l + c and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1705943 is divided by 271?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 20009 = -16236. List the prime factors of q.\nAnswer: 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 a, and 1 l when three letters picked without replacement from aiialaa.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 17832740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01903 rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 4*u. Let x be 2\/((0 - -1)\/(-2)). Let a be j(x). Is 27 + a\/1 - 1 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(2\/15))\/b)\/b*b**(8\/3)*(b*b**5*b)\/(b\/(b*b\/b**(8\/3)*b)))**18)**(-42) assuming b is positive.\nAnswer: b**(-30744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 + 0*x**2 - 2 + 3*x**4 - x**2 - 3*x**2 + x + x**3 in the form z + c*x**3 + f*x + h*x**4 + m*x**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3708e8 (base 16) in base 2?\nAnswer: -1101110000100011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -86*x + 45. Let j(u) = -18*u + 11. What is -9*j(t) + 2*z(t)?\nAnswer: -10*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 686 + -689. Which is the third biggest value? (a) -0.06 (b) w (c) 1\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -11. Suppose -q - j*b = -92, -2*b - 25 = -q + 43. Is 23 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8006 (base 14) in base 4?\nAnswer: -11113012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 249189 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 1. Let n = 7 - 3. Suppose n*p - 5*j = -0*p + 24, 4*j + 15 = -p. Calculate o(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91*v**4 - 2*v**3 - 19*v - 2 + 46*v**4 + 46*v**4 to the form s*v + r*v**3 + m*v**2 + f*v**4 + x and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 6. Let b be i(0). Let p(j) = 3*j**2 + 6*j - 1. Is p(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 8*i - 10. Let j be x(-10). Calculate the greatest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**4\/42 + t**3\/21 - 2*t**2\/7 + 2*t - 60. Find m such that r(m) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-30)*5\/6*10\/280?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136347027519.5 - -0.08?\nAnswer: 136347027519.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8*f**3 - 8*f**2 - 80*f - 429. Calculate the least common multiple of 24 and r(-6).\nAnswer: 11928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 24. Suppose -9*v + h*v = -20. Suppose y = 4*q - y - 70, 4*q - 67 = v*y. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 15. Let b be (-8)\/(-3)*(-30)\/(-4). Suppose 0*n - b = 4*n. What is the nearest to x in -1\/5, n, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 48 - 52 + 3*h. Let t(r) = r + 1. Determine -4*t(p) - x(p).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-399)\/258 - 32\/(-688))*4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + -2 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377161593 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*z - 99*z + 138 = 0. Suppose 0 = -4*d + 3*t + 63, 27*t = -3*d + z*t + 16. What is the least common multiple of 10 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168566927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-298*n - 324 + 324)*(-17*n - 5*n - 6*n) in the form t*n**2 + s + b*n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/5 of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/150)\/((45\/50)\/(-9))\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(400) - 2*3*sqrt(400))*3)\/((sqrt(200) - (sqrt(200)*-4 - sqrt(200)))*2*4))**2.\nAnswer: 25\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -50. Let s be (-12)\/8*g\/(-3). Suppose -8 = s*n, -4*j - n + 26 = -2*j. Calculate the least common multiple of j and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*c - 17 = 0, -2*c = -3*c + 1. Suppose -h*p = -19*p - 4*o - 778, 1340 = 5*p + 2*o. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3296 - -3290. Is a < 4\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 + 2*d**2 - d + 2. Let b be l(-2). Let p(r) = -9*r. Let w be p(-1). Let i = b + w. Solve 3*f + i*s = -5, 2*s = -s + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2604 less than -87683676?\nAnswer: -87681072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 876.6 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3031.3 - -3032.3. What is the third biggest value in -0.21, 3\/5, q, -9\/14?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146710 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/69 - -3*(-16)\/18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x - 9. Let v be t(-6). Let o be ((-7)\/(-14))\/(2\/(-3))*4. Let r be o\/9 - 496\/(-3). What is the greatest common divisor of v and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24a0c6 (base 14) to base 4\nAnswer: 10302313132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 1100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -53, 7, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*(-185)\/(-74).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1072 + 1072. Suppose -3*d - 2 = 1, -5*d = -5*i + 515. Suppose n*q = -3*q + i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020031220 (base 4) in base 7?\nAnswer: -2341226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -11*r + 0*r**2 + 7\/3*r**3 + 0*r**4 + 3\/5*r**5 + 0. Find the second derivative of z(o) wrt o.\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.829, 0.1 in decreasing order.\nAnswer: 3, 0.1, -0.829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -1\/27*d**4 + 1\/30*d**5 + 0 + 3*d + 0*d**2 - 1\/135*d**6 + 0*d**3. Solve g(q) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 - (0 + -1 + -3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31959 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -z + 4*u + 1, -9 = -5*z - 2*u. Differentiate -h - z + 3 + 4 wrt h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -70, 2\/17, -2\/31, -10?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9335.837 meters in centimeters?\nAnswer: 933583.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19354 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 6*w - 48 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12356)\/(-9267)*6\/(-44).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 4*z. Calculate the remainder when 299 is divided by k(11).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j. Suppose j = -8*f + 6*f + 12. What is the lowest common multiple of f and 7\/21 + (-33)\/(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p + 75 = -30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 4*y - 4*y)*(-4 + 9*y + 4)*(1 - 1 + 7) to j*y**2 + c + b*y and give j.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/12740379 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 3. Let g be h(-4). Suppose 26 = -2*a - 5*w, 2 = -4*a + w - 6. Sort a, -4, g.\nAnswer: g, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 0.2 (b) 1\/82 (c) 1\/2 (d) -2 (e) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.2474 * -0.4.\nAnswer: -1.29896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41728268, -41728268, -41728266, -41728262, -41728256?\nAnswer: -41728248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 216.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/4, 4, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from siiiiiiseei.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 - 21 = -24*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*t - 3032 = 7948 + 70 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524308 is divided by 3772?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (44\/(-11) - -3)*-64. What is the greatest common factor of f and 928?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*s - 4*s + 3*s)*((5 - 4 - 2)*(5 - 4 + 1) + 2 - 5 + 4) - 20 + 3*s + 20.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 1\/715450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7.1, -0.5, 2\/867?\nAnswer: 2\/867","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -112, -1391, -5024, -12187, -24056, -41807, -66616?\n\"Answer: -196*g**3 - g**2 + 96*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1505923 or -1505908?\nAnswer: -1505908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**5 - 12*p**4 - 10*p**3 - 2*p**2 + 2*p - 2. Let z(b) = 13*b**5 + 24*b**4 + 19*b**3 + 3*b**2 - 5*b + 5. Let n(m) = -5*o(m) - 2*z(m). Factor n(c).\nAnswer: 4*c**2*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(135)\/sqrt(5))**2)*-2.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -21, 21, 101, 231, 423, 689?\nAnswer: 1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 55, 100, 161, 244, 355?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 y when three letters picked without replacement from ayayaaayygaaaygaggy?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 2:48 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.52 - -167.48. Let o = -155.9 + b. Let j = o - 13. Which is smaller: j or 0.8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -12. Let i(t) = -2*t + 0*t**3 - t**p - 6*t**2 + 9*t**2 + 3. Let k be i(3). Which is smaller: -4 or k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 781, 1587, 2415, 3265?\nAnswer: 4137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 9*a - 13. Let h = 4 - 10. Let p be w(h). What is the smallest value in 0.1, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(sqrt(700) + 1)*-5.\nAnswer: 30 + 300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9293.7 - 9294. Sort 3\/17, s, -6.\nAnswer: -6, s, 3\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 - (11 - 30))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 21 + ((-83415)\/(-48))\/(-83)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378585 is divided by 243?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 611, 645, 761, 1001, 1407, 2021, 2885?\nAnswer: 4041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 26, 5.\nAnswer: -4, -1, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 82045504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-8)*-34 - -5. Solve -4*b + 2 = g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 468?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/216)\/(11\/99)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-8)\/12))\/((-5)\/2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 39*q**2 - 46*q + 19. List the prime factors of k(6).\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**7\/2520 - g**6\/540 - g**5\/360 - g**3\/3 - 3*g**2. Let p(z) be the first derivative of o(z). Let p(w) = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-169)\/3 - (-3)\/9. Let g = c - -57. Is g\/(-3) - ((-940)\/3)\/4 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 10) to base 6\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 j when three letters picked without replacement from qjjjjjjqqjqqqjqqqj.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3273*n + 76920 + 93174 + 16334 = 39143 for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 2 = -2*j, -30*g = -32*g - 4*j + 28 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) -0.3 (c) -16.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1074*v + 295*v - 2 - 5 + 5.\nAnswer: 1369*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -45*y + 1. Let d be p(-4). Let g = d - 101. Let x = 139 - g. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323 - 323 - 1680796*l**2.\nAnswer: -1680796*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {l: 2, p: 1, w: 1, a: 1, f: 2, h: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 9:28 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 20*x**2 - 135*x - 450.\nAnswer: 5*(x - 5)*(x + 3)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 23 = 9. Suppose 4*q - w + 157 = 501, -86 = -q - u*w. What is q rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.018082 centimeters in meters?\nAnswer: 0.08018082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -3, -5 in ascending order.\nAnswer: -5, -3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**5\/180 - 329*p**4\/9 - 865928*p**3\/9 + p**2 - 1076. Suppose i(y) = 0. Calculate y.\nAnswer: -1316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.41 and -3.\nAnswer: 1.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/3)*n*n\/(n**(6\/7)\/n)*n**(-14\/5)\/(n*n**(2\/17)*n*n) assuming n is positive.\nAnswer: n**(-7333\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 16043.86 milligrams?\nAnswer: 16.04386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 5:40 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 - (13 + -4) - 13.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45*(-46)\/(-3795))\/(8\/396)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and 253.76.\nAnswer: -406.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-316)\/237*(-117)\/12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -f + c, -133*c - 57 = 5*f - 137*c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 6:03 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 + -97. Calculate the remainder when 2 is divided by (3\/6)\/(g\/28).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -128100 less than -5\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 + -76. Let v(u) = 6*u - 34. What is the tens digit of v(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 11:00 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/2665 + 0 + (-1059)\/(-984).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1062 and 25\/18.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -0.8. Let g = 1779\/7 - 255. Let k = -32\/21 - g. What is the nearest to x in k, -2\/19, -1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.5543931112 - 0.07\nAnswer: -7.6243931112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80691.41 millilitres to litres.\nAnswer: 80.69141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127608 divided by -156.\nAnswer: -818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 19*z**2 - 20*z - 16. What is b(-18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from tjjkjkkt?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -37. Let m = d - 1. Solve -2*k - 8 = 0, 0 = -4*g - m*k - 11 - 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4492?\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h - 1. Let m(q) = 36*q - 9. Let o(w) = 15*f(w) - m(w). Let b(s) = -10*s + 5. Give -5*b(j) - 4*o(j).\nAnswer: 14*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_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: Convert -21221 (base 4) to base 6.\nAnswer: -2505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(18) - sqrt(2) - (sqrt(2) + sqrt(648)\/sqrt(9) - sqrt(2)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*p = -115, 0*o = 5*o + 4*p - 262. Calculate the highest common factor of 20 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**5 + 17*p**4 + 2574*p**3 - 47704*p**2 + 254720*p - 339456 = 0.\nAnswer: -52, 2, 8, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304595.\nAnswer: 5, 60919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 226 = -5*x + x, 0 = 5*x - 5*y - 295. Let o = x + -49. Suppose 2*n - o*n + 720 = 0. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -181.954 + 182. Let r = -160.046 + k. Which is the second smallest value? (a) 0 (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-165)\/440 - 45235\/(-8)?\nAnswer: 2, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 0.5, 1.8 in decreasing order.\nAnswer: 1.8, 0.5, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 102*l**2 + 1497*l - 248. What is t(115)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z**3 + 2*z)*(2*z - 14*z - 8*z).\nAnswer: -40*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 579345*r**2 + 3476151*r - 5214267.\nAnswer: -3*(r - 3)**2*(r + 193121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150930\/45045 - (-18)\/(-11).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85697999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 24 = -4*f, -f = -5*y + 56 - 53 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1149941 years to months.\nAnswer: 1.3799292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 31098 and -17.\nAnswer: 31081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*f - 4*z - 25, 0 = -3*f + 2*z + 38. Suppose 0 = -4*d - 16, 4*d + 5 = a - f. Suppose -a = -k - 0*k. Solve -n + 2 = -k*y, 4*n + 1 = 5*y - 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from ppppppcpppcpcp.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71*-10.\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 42*n**2 + 1. Let u = 8 - 6. Let i be 1*2 + 3\/u*-4. Is d(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 5*s + 3*s)*(-3811018 + 3811018 + 4416*s) - 2 + 2 + 2*s**2.\nAnswer: -4414*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 45*b**3 + 44850*b**2 - 7364875*b - 11774940000 = 0?\nAnswer: -2215\/3, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o - 52. Let y be d(14). Let m(c) = c**3 - 2*c**2 - 5*c - 9. Let x be m(y). Solve -4*u = -x*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1591, 780, -27, -830, -1629, -2424, -3215?\n\"Answer: 2*i**2 - 817*i + 2406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 353 + 53 = 2*q, 0 = 4*q + 5*p - 812. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5 = 5*s - 12, -4*u + 2*s = 2. Suppose 50 = 5*p - k, -u*p - p + 30 = -k. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-1) + 9)*1. Let j = o - 5. Factor j*g**4 + g**2 - 5*g**2 + 2 + 0.\nAnswer: 2*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 - -50414?\nAnswer: 50342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43867 - 103?\nAnswer: 43764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*i**5 + 3273407*i**3 - 2987461*i**2 wrt i?\nAnswer: 420*i**2 + 19640442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4687, 9316, 13935, 18538, 23119, 27672, 32191, 36670?\n\"Answer: -i**3 + i**2 + 4633*i + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 7179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) 1\/2 (c) 0.14 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2233.3 - -0.5.\nAnswer: 2233.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 556720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 91 - 112*z + 23\/2*z**2. Differentiate f(c) with respect to c.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8684778.\nAnswer: 2, 3, 331, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17\/(-4) + 1\/4. Let u = f - -6. Solve -u*m + 5*m + 12 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d - 1. Is 2 a factor of a(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = 6. What is the least common multiple of 2 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/40 + 5)*2\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**3\/5 + 840753*f**2 + 4203766*f\/5 = 0.\nAnswer: -1, 0, 4203766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3364 or -710?\nAnswer: -710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148221?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -257, -2\/17, 32 in descending order.\nAnswer: 32, -2\/17, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1 (c) 0 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -25. Sort 5, -1, 0, n in decreasing order.\nAnswer: 5, n, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 7*q**2 + q + 29. What is k(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + g - 1. Let z be i(1). Let j(l) = -l**3 + 3*l**2 - 14*l + 5. Let v(w) = -3*w**2 - w - 1. Let r(q) = z*v(q) + j(q). Determine r(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/3906 and -1\/646443.\nAnswer: 1292886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 18 + 54)*(-22*x + 136 - 136) to the form f + w*x and give w.\nAnswer: -1386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**3\/2 - 16*x - 72. Let w(t) be the first derivative of g(t). Let v(q) = q**2 + 38. Determine w(v(p)).\nAnswer: -3*p**2 - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdvv when four letters picked without replacement from {s: 1, c: 1, v: 6, d: 1}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -328 - -329. Let y be -1*1\/30*4. Let l be ((-3)\/2)\/(-4 - -1). What is the closest to j in l, -5, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h**3 + 4*h - 2*h**4 + 2*h**3 + 1 + 6*h**3 in the form y*h**3 + f*h**4 + l*h**2 + u*h + v and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykmy when four letters picked without replacement from mykmymym?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 38137 + 19207. Is y\/9 - 26\/117 - 3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p - 268. Let b be s(-30). Suppose 3*k = 2*h - 2, 2*h + 0*h = 4*k + b. Solve 6*x - 12*x - 12 = k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 3. Let t be w(-6). Let u be (0 - 2)*t\/(-18). Which is bigger: -3\/5 or u?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -11. Let x(p) = -2*p - 10. Let s(k) = -3*k - 10. Let d(r) = w*s(r) + 6*x(r). What are the prime factors of d(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 385.934 to the nearest integer.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6486252359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*r = -1, -2*r = c - 4*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -3*s + 0*s**3 + 0*s**2 + 1\/33*s**4 - 3 + 1\/22*s**5. Let w(b) be the first derivative of o(b). Factor w(d).\nAnswer: 2*d**2*(5*d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(4800) + 4 - (1 + sqrt(4800))*-6)*6)**2.\nAnswer: 141120*sqrt(3) + 8468964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, q: 1, d: 1, a: 2, p: 1, n: 1}. Give prob of picking 1 d and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 5*i - 3*d, 66*i - 117*i - 4*d - 243 = -7*d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -261 in -6, -0.4, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from {y: 1, h: 10, r: 1, j: 2, q: 2, x: 2}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1)*(20\/4)\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Suppose -41 - 22 = -n*j. What is the units digit of (-16)\/56 + 1980\/j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*j + 7*j - 16359, 2*j = -2*q + 8166. List the prime factors of j.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1113 + 2214?\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 248530047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -478 not equal to -479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1993.\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3278776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-68) + (-7107)\/(-1173). Let h(b) = -5*b**2 - 4*b + 4. Let u(d) = -5*d**2 + 2 + 4*d**2 - d - 1. What is l*u(m) - h(m)?\nAnswer: -m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = -19*c + 6*c + v + 18, -c + 0*v = 5*v + 24 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 147.802 - 148. Let z = v + 0.198000029. What is z rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 46\/5 of a centimeter?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, h: 7}. Give prob of sequence shs.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 1.9, 1, -1\/4, -0.1, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**5\/20 - 5*l**4\/16 - 3*l**3\/4 - 7*l**2\/8 - l\/2 - 158. Determine t so that q(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k + 64. Let s = 3543 + -3526. Calculate b(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 27.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*f + f + 8, f = 2*c - 3. Let m = -88 + 101. Let t be (m - (3 + -5)) + -4. Solve 2*a - t = -f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.49 - 1.49. Let s = 1.007 - 0.007. What is the biggest value in i, 1\/4, s, -15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 8:28 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2758, 2687, 2616, 2545?\n\"Answer: -71*v + 2829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**2 + 3330*q - 554445 = 0. What is q?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - 129) + -91 - (-33 + -1).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 646328, 1292661, 1938994?\n\"Answer: 646333*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -562 = -3*j + 362. List the prime factors of j.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60572083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -12, -1, -174, -240 in ascending order.\nAnswer: -240, -174, -12, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249518230?\nAnswer: 2, 5, 13, 197, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 24270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498738?\nAnswer: 2, 3, 101, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 15*q + 1104 = 0. Let i = 85 - 62. Calculate the highest common divisor of q and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 121251*o**3 + o**2. Let w(t) = -t**2 - t. Let s(p) = -2*w(p) + y(p). Let z be s(-2). What is z rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*c - 42*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 43.13572 minutes?\nAnswer: 2588.1432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 + -6)\/(4\/((-5360)\/4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114258059437119693 + -2741049474799788597511639\/23989988. Let c = 798\/72259 + k. Let s = c - 63\/83. Find the common denominator of -8\/7 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18, 3437, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-729772)\/(-6) - (13 - 184\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1840, -1459, -1078, -697?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)\/(z\/(z**(-8)*z)))**(40\/9)*(z**(-1)\/z)**(1\/6)\/((z*z*(z**(-5)*z)\/z*z)\/z**(-1\/4)) assuming z is positive.\nAnswer: z**(-623\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4614.000002009 + -4614. What is m rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.06 (b) 8 (c) 2 (d) 50 (e) -0.0039\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 divided by -15561?\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 36176 divided by 1292\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + 2. Let p(b) = 6*b**3 - b**2 + 1. Let d be p(1). Calculate the highest common divisor of d and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6. Let u(p) = p - 3. Let s(y) = -3*j(y) + 7*u(y). Let r be s(0). Sort -1, r, 3, 2 in descending order.\nAnswer: 3, 2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3920.71 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9596548 + -31.\nAnswer: -9596579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(88)*2 + sqrt(88)))\/(sqrt(800) - (sqrt(800)*-2 + sqrt(800))) - (-1*sqrt(22)\/sqrt(2)*-6 - (sqrt(88)\/(sqrt(8) + 3*sqrt(8)*-2))**2).\nAnswer: -111*sqrt(11)\/20 + 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 19. Sort 4, -5, w in descending order.\nAnswer: 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3155, 3112, 3081, 3068, 3079, 3120, 3197?\nAnswer: 3316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -18 (b) 2\/13 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**2 - 2*o**2 - 2*o**2)*(-3*o + 0*o + 2*o) + o**3 + 0*o**3 - 2*o**3 + (-3*o**2 + 4*o - 4*o)*(-4 + 4*o + 4).\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - -0.28. Which is the closest to -2\/13? (a) v (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(4*m**2 - 2*m**2 + 2*m**2) - 6*m**2 - 929*m + 929*m + (-2*m**2 + 4*m**2 - 3*m**2)*(3 - 1 - 4) + 2*m**2 - 3*m**2 + 2*m**2 + 2 + m**2 - 2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -704*s = -136*s - 4784 + 240 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 3*l + 2. Let w be a(3). Suppose -281 = -4*r + 2*r + i, 5*r - 696 = -4*i. What is the greatest common divisor of r and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 619880209 to the power of 1\/2, to the nearest integer?\nAnswer: 24897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -64, -93, -140, -211, -312, -449?\n\"Answer: -d**3 - 3*d**2 - 13*d - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 4. Let z be l + 3 + -3 - 1. Let h be 8\/6*z\/(-7). Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 + 34*q. Let i(u) = -24*u + 1. What is i(b(h))?\nAnswer: 48*h**2 - 816*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/50 - (-141)\/(-15). Let p be (45\/d - 4)\/(2\/(-4)). Suppose 2*a = 3*t - 0*a - p, 4*a + 16 = 4*t. Solve -2*l = l - t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z + 200 = 0. Suppose h + 25 = 5*q + 88, 0 = -3*h - 5*q + 169. Suppose 0 = -54*l + h*l - z. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353738\/(-44)*(-36)\/63 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*u + 25, -5 = 5*u - 3*u - 3*g. Let p = 7 + u. Suppose r - 3*n = 5*r - p, -2*r - 13 = 5*n. Solve 22 = 5*c - d, d = -d + r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242865 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -237 or -313?\nAnswer: -313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djdmr. What is prob of sequence rdj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-42))\/(2\/(-7)). Which is the nearest to 3? (a) 2 (b) -0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g. Let f(q) = -6167*q**2. Give v(f(y)).\nAnswer: 18501*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 97023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 6*d + 10. Let q(g) = -g**2 + 2*g - 3. Let m = 350 + -345. Determine m*v(j) + 16*q(j).\nAnswer: -6*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -25. Suppose 0 = -4*c + t*c - 5714. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (2 - 0))*2. Let j(w) = -18*w - 6. Let b be j(s). Suppose -2*q = -4*q + 3*i + 44, -2*i = -3*q + b. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -9 - (13 + -15). Suppose 2*z = r + 23 - 8, 4*z = -2*r + b. Solve q - v = -2*v - 6, -18 = z*q + v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201220012 (base 3) in base 9?\nAnswer: 81805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15091559911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 c, and 1 s when four letters picked without replacement from ucccvcccccuscu?\nAnswer: 108\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1216 + -457. Does 33 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwcjczjcjhjz. Give prob of picking 1 z and 1 c.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 146\/8)*8. Let z = -1315 + 1319. Suppose -3*q = q - 8, -g = -3*l + z*q. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*r + 7 = 22, 3*g + 2*r = 5. Suppose 2762 = 2*h - g*f, 0*h + h = -2*f + 1399. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 6*r - 6. Let p be v(4). Put -4, 1, -1, p in ascending order.\nAnswer: -4, -1, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -17 - 2*k + 2 - 2. Let v be o(-14). Suppose 0 = 5*u + v - 31. Solve u*z + z = 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -225 from 322.\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 7*s + 5. Suppose 2*a - 2 = 5*d - 54, -4*a = -s*d + 32. Differentiate 23*k**2 - 13 - k**3 - d*k**2 - 11*k**2 wrt k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2748, 5012, 7292, 9594, 11924, 14288, 16692, 19142?\n\"Answer: l**3 + 2*l**2 + 2251*l + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h - 32 = 0. Let n be (3\/2)\/(6\/h). Let t = -5 + n. Solve -8 = u + t*k - 0, -u + 3*k + 16 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4176 = -3*p + n, 0 = 2*n. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 458 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.032, 10, -0.085?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from {a: 12, l: 2, j: 1, e: 1, b: 3}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a**3 - 3*a**2 + 28*a - 3. Let g(r) = 14*r**3 + 7*r**2 - 55*r + 8. Calculate 2*g(t) + 5*y(t).\nAnswer: -2*t**3 - t**2 + 30*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 6. Let l be o(-7). Let t(d) = d**2 + d - 1. Let k(y) = -42*y**2 - 6*y + 5. Let i(n) = -k(n) - 6*t(n). Is i(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (48 + (-12)\/6)\/2. Suppose -19*h + 251 = a. Suppose -37 - 83 = -4*i. What is the least common multiple of h and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 - -1. Let q be (-18)\/(-81) + 32\/(-225). Let m = -62 - -371\/6. Which is the third smallest value? (a) q (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7375353, -14750713, -22126073, -29501433, -36876793?\n\"Answer: -7375360*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2131, -16948, -57143, -135406, -264427, -456896?\nAnswer: -725503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**2 - 1 + 0 + 5*z**2. Let r(v) = 8*v**2 - 8 - v - 6 + 9. What is -9*a(f) + 2*r(f)?\nAnswer: -2*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aadaatdddaddadadd. Give prob of picking 1 d and 3 a.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 3, -0.4, 3\/26, -107, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2837*z**3 + 5*z**2 + 24*z + 20. Let b be v(-1). Is 2838 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391*m - 36 = 387*m. What is the highest common factor of 198 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94164 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4*p = -3*q - 8, -4*q - 17 = -5*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 11. Let r be (45\/(-6))\/(-5) + 138\/4. Suppose -4*p - 2*c = -c - 34, 4*p + 2*c - r = 0. Let y be v(p). Solve -y*i + 3*t = 0, 14 = 5*t - 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 989 is divided by (31\/(-4))\/((-504)\/2016)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*z**3 - 20323*z**2 - 203904*z?\nAnswer: 18*z - 40646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2280373.\nAnswer: 97, 23509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 7*d**2 + 14*d + 2. Let w(v) = v**3 - 6*v**2 + 2*v + 11. Let h be w(5). Let z be k(h). Is 10 a factor of ((z - -4)*1)\/(2\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65955530 to the nearest ten thousand.\nAnswer: 65960000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - b**2 + 2*b. Let p be t(-2). Suppose -2*a - 38 + 148 = p. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1701003580.\nAnswer: 2, 5, 85050179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -12904700\nAnswer: -129047000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.670032 rounded to 1 decimal place?\nAnswer: -24.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*2\/(-12)*18. Is (-2328)\/c - (-6)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.6? (a) 0.4 (b) -2 (c) 0 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 4*p**7\/189 + 2*p**6\/45 - p**5\/45 - p**4\/9 - 2*p**3\/27 - p - 30. Solve v(a) = 0 for a.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*y - 34 = 0, 0 = -18*j + 21*j - y - 4. What is the nearest to -6 in -0.4, j, -1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 134892.5136 to the nearest 1000.\nAnswer: 135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 15. Let f(t) = 20*t + 80. What is -f(i) - 3*k(i)?\nAnswer: -17*i - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21586 - 21586.00000064895. Round i to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 - -1?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (9 - (3 + (1 - -3)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -405\/7 - -58. Let a = -12.7 - 2.3. Let b = 12 + a. Sort b, g, -1\/6 in increasing order.\nAnswer: b, -1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(8)*1)*-6 + -1)**2 - (5 + -2*sqrt(637))*2.\nAnswer: 40*sqrt(13) + 459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -210*(414\/27)\/(-2)?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*f + 1401. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, g: 1, h: 3, w: 6, x: 2}. What is prob of sequence khhx?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 17*p**3 + 3039*p**2 - 3*p + 8*p**3 - 6079*p**2 + 3040*p**2 - 16*p**3.\nAnswer: -26*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axjx when four letters picked without replacement from axjaxxjaaxaxx?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*h + 79*h - 143*h - 6*h**2.\nAnswer: -6*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, -48\/7, -12\/13, 15.155?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29*4.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8800660 is divided by 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - p + 0*p)*(-5 + 9 + 3)*(4*p - 4*p + p) + (-3 - p + 3)*(4*p - 6*p + 4*p) + 2 - 2*p**2 - 2 - 6*p**2 - p**2 + p**2 as t*p + x + k*p**2 and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggkkg. Give prob of sequence gk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(1246\/112)\/(-89)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35744944 or -35744943?\nAnswer: -35744943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2\/17 (c) 3 (d) 9\/2 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b + a?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 44 = 2*v, 100 = 5*j - 0*v - 5*v. Let f(a) = a**2 + 17*a - 334. Let z be f(-30). What is the greatest common factor of j and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6673*z - 6691. Give y(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 479003\/2760 + -15482\/69. Let h be (-11)\/(-385)*-1697 + (-8)\/(-28). Let t = l - h. Is t less than or equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + n + 5. Let a be d(4). Let x(l) = 61*l**2 + 4*l + 2. Let p be x(4). Let f(v) = p - 6*v - v**2 - 994. Give f(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 4. Suppose 3*q + u = -5*c + 3*c, 5*q + 25 = 0. Let n = c + 30. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122411 - -122417. Let u(x) = x + 3. Let j be u(0). Solve -m - g + q = 4*g, -4*m + j*g = 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 2)*-1 - -1. Suppose c = 22*y - 17*y. Let k = 16\/7 + -121\/56. Is y at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*k + 227*k - 103*k in the form p*k + g and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184237?\nAnswer: 29, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/11 - -12\/55. Solve 0*z + i*z**2 - 2\/5 = 0 for z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1986 and 53\/10261.\nAnswer: 61566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 50\/15)*(-20 - -29). Solve 0 = 2*y + t, -4*z - 10*y = -15*y - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170015*z**3 + 170067*z**3 - 340081*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 8*o**2 + 2. Suppose -2*r = -2*i - 3*i + 29, 5*i + 133 = -4*r. Let j(a) = -a**3 - 28*a**2 - 27*a - 8. Let z be j(r). Determine k(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54045796.\nAnswer: 2, 7, 53, 79, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1971 times -0.022?\nAnswer: -0.1363362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 0.8 (c) 0.4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(5\/((-2)\/2))\/((-2650)\/10)?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -384 + 383.8. What is the third smallest value in 3, h, 0.1, -0.57?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -3*z - 3*r, 17 + 21 = -2*z + 5*r. Suppose 0*k - 66 = -3*k. Let b be 4\/k + (-1554)\/77. Which is greater: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-43)\/(-2*6\/84). Suppose 9*c + 31 = g. Suppose -d = -0*d - 29. Is d >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 7 = -34 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 9*q**2 + q - 9. Let s be t(9). Which is the second biggest value? (a) -4\/3 (b) s (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.09 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8552 - 32*c + 19*c - 356 + 15*c to u + g*c and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-365)\/146*44\/5)\/(4\/2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 6. Which is bigger: i or 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p + 2*p - 3*p)*(-3 + 2*p**2 + 3) + 5443124 + 27434*p**3 - 5443124 as u + k*p**3 + n*p + q*p**2 and give k.\nAnswer: 27432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 11, -95, 0.2, 62?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 + 4*l**3 - 16*l + 16.\nAnswer: -(l - 2)**3*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obyb when four letters picked without replacement from {y: 3, g: 1, b: 7, o: 5}?\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/792)\/(9 - 320\/30)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -56*k - 1582. Calculate d(-30).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -45657 to the nearest 100.\nAnswer: -45700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671661483.\nAnswer: 3, 17, 139, 94747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + b - 2. Let s be o(0). Suppose -5*c = -5*h - 20, h - 5*h + 2*c - 10 = 0. Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - h**2 + 0 + 3*h)*((5*h - 3*h + 2*h)*(3 - 3 - h) + 0*h**2 + 2*h**2 + 6*h**2) to x*h**4 + t*h**3 + j*h + d + b*h**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -u - 175, -4*p + 25 = 4*u - 155. Suppose 48 + p = -4*f. Let t = f - -28. What is the remainder when t is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10310010 + -2032203?\nAnswer: -13002213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1612*r - 1605*r + 16 = -5*l - 6, 4*r - r + 14 = -l for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 1\/60*o**6 - 1\/30*o**5 + 5*o**2 + 0*o - 1\/12*o**4 + 0 + 1\/105*o**7 + 0*o**3. Factor f(u).\nAnswer: 2*u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-74)\/12 - -6)\/((-8)\/(-18)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*z + 70, 3*z + 18 = 5*b - 63. Suppose 5 - 189 = -4*o. Let c = o + z. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 696 and 30?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(201330\/(-40275) - 5\/(-1)) is divided by 128?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o - 3. Let f(d) = -7945*d. Calculate a(f(c)).\nAnswer: -15890*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, y: 2, t: 2, f: 1, u: 1, s: 2}. What is prob of picking 2 t and 1 f?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 13. Suppose 5*i = 129 - 29. Solve x*u + 0*u + i = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 968 is divided by 191.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/3)*d**11)**(-2)\/(((d*d**(7\/5))\/d*d**6)\/(d**3\/d*d\/(d**(-2\/17)\/d*d))) assuming d is positive.\nAnswer: d**(-6022\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxu when three letters picked without replacement from {u: 4, x: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 411573015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9303 - 10038 = -3*q. List the prime factors of q\/7 + 3 + (-6 - -4).\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -140*k**3 - 601*k**2 - 2007*k. Find the first derivative of i(r) wrt r.\nAnswer: -840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, c: 1, j: 4, d: 1}. Give prob of sequence jdjj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)\/r*r)**(-1\/54)*(r**(2\/5))**(-18)*(r*r\/r**(1\/6))\/(r*r\/((r*r**(1\/9)*r*r*r)\/r)*r)*(r**3*r*r)\/(r**(-7)\/r) assuming r is positive.\nAnswer: r**(4187\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -4*z + z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4691 - 731 = 360*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*a - 3\/5*a**2 + 3\/5*a**3 + 3\/5.\nAnswer: 3*(a - 1)**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 715*i + 137. Determine j(0).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7955 and 75895.\nAnswer: 2808115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j = 795 - 1290 + 6879. What is the smallest common multiple of 4536 and j?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 634544 and -32.\nAnswer: 634512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-117984)\/(-22122))\/(32\/378)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 10.83. Let k = 0.03 + z. Let p = 12\/31 - -119\/93. What is the second biggest value in p, k, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 18 + 9. Suppose 5 = x, -2*f + 6*x + 10 = 4*x. Calculate the remainder when f is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/60 and 41\/248?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -348*s**2 + 322*s**2 - 1 + 2*s**3 + 18*s - 19*s to g*s + j*s**3 + t + z*s**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {h: 1, t: 5, b: 3, i: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - 1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - k - 1. Let p(u) = u**2 + 2*u + 2. Calculate -2*c(x) - p(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*i, -3*v = -2*i - 523 - 2755. Solve -a = -1089 + v for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2726\/58 - 35 - 89\/7\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8940 and -349.\nAnswer: -3120060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-23 + 22 - (-1 + -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41712716?\nAnswer: 2, 97, 107507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -19*m. Let g(x) be the first derivative of x**2 - 25. What is g(n(l))?\nAnswer: -38*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7226\/105 + 18\/35. Let s = -69 + m. What is the closest to -0.1 in 0.2, 0.4, s, 0.6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -35130?\nAnswer: -35125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2135)\/122*4\/(-21))\/((-2)\/6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -334?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 455 divide 3286010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -126 - -222?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 36 + 1924*q - 36 - 1924*q.\nAnswer: -q**2 - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((1 + sqrt(343))*2)**2)*-1 + 6*((sqrt(343) + 6*(sqrt(343) + 1))**2 + 0).\nAnswer: 3472*sqrt(7) + 99683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2. Let s(m) = 1200*m - 50. Let a(t) = 100*t - 4. Suppose -1393*q = -1397*q - 8. Let c(d) = q*s(d) + 25*a(d). Give f(c(p)).\nAnswer: -10000*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.044816941 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3463, 3461, 3457, 3451, 3443, 3433?\nAnswer: 3421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3827204304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8582 divided by -1\nAnswer: 8582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 1.2377.\nAnswer: 0.099016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1 + (2 - 3 + 0)*(2 + 2 - 3))*(2*q**3 - 4*q**3 + 5*q**3)*(0 + q + 0) to l*q**2 + t + b*q**3 + u*q**4 + s*q and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1157)\/(-26) + 1\/(-2). Is r not equal to 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - f + 250 = -554, -2*x = f - 1605. What are the prime factors of x?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*2*2 + sqrt(85) - sqrt(85))\/sqrt(5).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 5*y - 89. Let s(h) = -5*h + 1. Let n(r) = -4*r + 2. Let d(a) = 6*n(a) - 5*s(a). Let k be d(-3). Solve -k*f + f = y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -12*m + 15*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 631, 578, 525, 472?\n\"Answer: -53*t + 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 34715, 147\/13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 4*b - 1. Suppose 3*q + 0 + 12 = 0. Let o be m(q). Let l = o + 11. What is 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 derivative of -85855953*r - 459299247?\nAnswer: -85855953","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15055.6 decades in centuries?\nAnswer: 1505.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 47706, -2\/7, 3, -23?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 35 - 111. Let w = 84 - j. Suppose -9*v + w*v = -2017. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 915, 912, 909, 906?\nAnswer: 903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*a + 11. Let x be 776\/a - 2\/(-5). What are the prime factors of (x\/(-15))\/((-4)\/10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 8285?\nAnswer: 8289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.82 - 0.72. What is the closest to f in 1\/9, 2, 4\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*w - 86*w = -479*w + 5985 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20945 - -19372. Which is greater: -1572 or t?\nAnswer: -1572","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/29 (b) 0 (c) -1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -660*a**4 + 93*a - 2?\nAnswer: -7920*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -12642*t + 10703. Determine k(1).\nAnswer: -1939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - x - 14. Let o be u(5). Suppose -3*i - 12 = 3*q, -5*q = -o*i + 3*i - 20. Sort 5, -4, q, 3 in increasing order.\nAnswer: -4, q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416349.\nAnswer: 3, 46261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-6))\/(900\/3168) - 6*1.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0952 - -15.0952. What is the third biggest value in z, 0, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 18*h**2. Let q(r) be the second derivative of r**6\/120 + 50*r**4\/3 - 233*r. Let y(j) be the third derivative of q(j). Give y(w(o)).\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*-7*5*(-14)\/105. Let p(z) be the second derivative of -z**4\/12 + z**2\/2 - 3*z. Let f(w) = -6*w**2 + 6. What is d*p(s) - 2*f(s)?\nAnswer: -2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l. Let p(u) = 48*u. Calculate 4*p(h) - 33*z(h).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -129 + 130. Let s = 92\/147 - -2\/49. Which is the nearest to 0.07? (a) -1 (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4025 and 1771?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61546191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = i - 2*p, -8*p = -2*i - 6*p + 120. Calculate the lowest common multiple of i and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-15))\/(r**(3\/4)\/r) assuming r is positive.\nAnswer: r**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.17 + -2.17. What is the nearest to -1 in -0.1, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14969 + -14969. Let -13\/4*i**3 - 1\/4*i**5 + n*i - 2*i**4 - 3\/2*i**2 + 0 = 0. What is i?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i + 177. Let g be 0\/(2 + 2)*1. What is the hundreds digit of p(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4)*3 - (-6)\/12. Suppose -u*r + 26 = 32. Let w(k) = 1. Let x(g) = 6*g - 2. Determine r*w(m) - x(m).\nAnswer: -6*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -14 + 9 - -9*2 - 7. Let o(t) = -14*t**3 - 6*t + 6. Let p(k) = 15*k**3 + 5*k - 5. What is l*p(g) + 5*o(g)?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 4*z**2 + 0*z**2 - 2*z**2 + z**2 + 3*z**2 + z**2 + z**2 + 0*z**2 + (3*z + 0*z - 4*z)*(4*z - 3*z - 3*z))*(8*z - z - 78*z).\nAnswer: -568*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -424172, -1696763, -3817768, -6787187, -10605020, -15271267, -20785928?\n\"Answer: -424207*f**2 + 30*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g - 2. Let l = 8 + -6. Let j be f(l). Let c be 11\/(-3 + j\/4). Calculate the highest common divisor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*q - q = 28, -4*q + 1 = s. Let p(o) = o + 1. Let y(f) = f**2 - 10*f - 10. Let n(k) = 5*p(k) + y(k). Let d be n(6). Sort s, 0, d.\nAnswer: 0, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + (23 - (79 + -29))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 3*n**2 - 2*n - 1. Calculate d(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(38577\/6)\/7. Let s = r + 902. Calculate the common denominator of -45\/4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -16 - (0 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*q + 37269 = -39717. Does 26 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220911.\nAnswer: 3, 73637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.08, -148, -145, 2\/7, -3\/2, -4, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 + 0 + 3*q - 1.\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from zuzzzzuzuuzzzuzzuz.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766697 is divided by 905?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 + -40?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 21*l**2 + 5*l + 36. List the prime factors of j(-22).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 1)*(3 + 2 - 3)*(2*p + 2*p - 2*p).\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*l - 212 + 916 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -30*b - 67. Let z(f) = -14*f - 34. Calculate -6*j(r) + 13*z(r).\nAnswer: -2*r - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59744285 by 4309.\nAnswer: 13865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.58 + -11.58. Let h = -26 - -129\/5. Which is the third biggest value? (a) 4 (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2\/2)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 1205*q + 4826. Let n be i(-4). What is the highest common factor of 589 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6cc (base 13) to base 4.\nAnswer: -102132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t - 33. Let k be n(-5). Let l = k + -7. Let f(b) = b**3 - 4*b**2 - 4*b - 7. Let g be f(5). What is the smallest value in g, l, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (9 + -4))\/(1\/6). Put n, 5, 4 in increasing order.\nAnswer: n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/189 - -185\/378. Suppose -5*d = -w - 15, 4*d + 2*w - 12 = -3*w. Which is the nearest to t? (a) -1 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 1655?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*z = -293, z + 96 - 263 = 3*j. Let v be (-19)\/j - 4\/(-6). Sort -4, v, 15 in increasing order.\nAnswer: -4, v, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 + 71 + 74 + 70 - 292 - 123*a.\nAnswer: -123*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -71 - -72?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -768 - -763. Let h = 11.5 + -13.5. Which is the third smallest value? (a) r (b) h (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -870c (base 15) in base 5?\nAnswer: -1403322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/3605959 - -299290169\/7983593226. Calculate the common denominator of j and -5\/18.\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11907 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 8*a**2 + 8*a - 5. Suppose -5*d - 4*x + 31 = 0, -3*d = 2*d - 4*x - 39. Calculate l(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2309660?\nAnswer: 2, 5, 23, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*o**3 - 10*o - 13*o + 23*o.\nAnswer: -72*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43552, -43578, -43618, -43678, -43764, -43882, -44038?\nAnswer: -44238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -489633*b**5 - 328588*b**2 wrt b.\nAnswer: -29377980*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 52 = -2*x + 5*f, x + 5*f = -24. Is -21 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/11 in -5, -30, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(0 + 3 + 0)*(-w - 38*w - 32*w) + (w - 5*w + 3*w)*(2 - 3 + 3).\nAnswer: -215*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*t - 14, 0 = 5*t - 2*v + 5*v - 23. Suppose t*q = -q + 10, q = -2*u + 19260002. Suppose -2*h + u = 7*h. Round h to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3482298 divided by 6.\nAnswer: -580383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + sqrt(112) - 5*(sqrt(175) + 3 + sqrt(175)))*-1.\nAnswer: 8 + 46*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**2 - 53452*q + 160320 = 0.\nAnswer: 3, 13360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 14357.201 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-16 + 5) - (-125 + -9)\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/19 + 170720*n**3\/19 + 3642823344*n**2\/19 - 14573342080*n\/19 + 14574024992\/19.\nAnswer: 2*(n - 2)**2*(n + 42682)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 375 = -d. Let z be d\/12 + (-2)\/8. Solve 0*g - z = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 370 = 338. Calculate the highest common factor of d and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0302 + 0.4598. Sort s, 0, 1\/3 in decreasing order.\nAnswer: s, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s = -30*s - 2184. Is 48 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1048792 times 0.24\nAnswer: 251710.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468694?\nAnswer: 2, 23, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437388 is divided by 54672.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9795*f**2 + 1305*f - 37430590?\nAnswer: -19590*f + 1305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 431424?\nAnswer: -431433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/10)\/(-24*5\/(-400))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.12 + -12. Let h = -0.18 - d. Let r = 0.29831 + h. Round r to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14365?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 5:26 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o + 38*o**3 + 9*o - 2*o.\nAnswer: 38*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -169*j - 11*j**2 - 171*j + 338*j + 23 - j**3. Is 8 a factor of t(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 26. Is 2\/(-5) - (-5847)\/m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18486 + -18240. Let q = 196 + 50. Is q smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 6*f**2 - 7*f + 3. Let x = 40 + -81. Let u = -41 - x. Suppose -4*r + 4*c - 3*c - 33 = u, -5*r + 3*c = 50. Determine y(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(-35)*(-144)\/(-792)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 + -2. What is the smallest value in 4, 0.1, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40 and 99700.\nAnswer: 3988000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3949415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-one quarters of a meter?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hneeenheheeehehhhen?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -16176.074934?\nAnswer: -16175.974934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-50) - 14\/(-28)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12 - 0.21. Let n = u + 0.19. Which is the smallest value? (a) -2\/3 (b) 1\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j + 6 = 0. Suppose 0*s + s - 6 = 2*k, -5*k + j = 2*s. Suppose 1 + 3 = s*f. Which is the second smallest value? (a) -0.2 (b) f (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 843784 and 843788 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 672 and 21.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/51620 and 13\/331525.\nAnswer: 38456900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 + -8 + 11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1524.63136 to 1 dp.\nAnswer: -1524.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -27*j**2. Let y(s) = -433411*s**2. What is v(y(a))?\nAnswer: -5071817562867*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*a + 730, 3*r - 91 = 5*a - 1017. Is a a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47*r*z**2 + 9*r*z - 5*r - 2*z**2 - 10544*z wrt r?\nAnswer: -47*z**2 + 9*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13472 from 4793268.\nAnswer: 4806740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3 - 13*j**3 - 8*j - 2*j**3 - 3*j**3 wrt j.\nAnswer: -102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1537 + 1537. Let a = -0.3 + -0.7. What is the closest to a in l, -0.1, 4\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1025573\/150 + 6838. What is the common denominator of m and -47\/1680?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 4*n**2 + 5*n + 5. Let a be c(-2). Solve -4*g - j = -a*g - 1, -6 = -2*g - 3*j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 14*t**2 - 14*t - 15. Let z be q(3). Let g = 6661 - 19780\/3. Which is smaller: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - -60. Calculate the remainder when u is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from {d: 3, g: 1, u: 1, q: 1, f: 7}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**4*n*n**(-2) assuming n is positive.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 256547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 131*d + 4. Let l(u) = 43*u + 1. Let r(j) = -6*f(j) + 21*l(j). What is the units digit of r(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 8*i**2 - 7*i. Let y(l) = l**3 - 7*l**2 + 6*l. Let z(r) = -6*q(r) - 7*y(r). Let m(o) = 4*o**3 - o**2 + 1. Give -m(g) - 2*z(g).\nAnswer: -2*g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 133, 122, 111, 100, 89?\n\"Answer: -11*x + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + 1*(14 + -15 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60743 = -11*f + 15314 + 17894. Is f a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 15) in base 14?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 - 69. Let q(a) = 7*a**3 - 4*a. Let p(k) = -7*k**3 + 3*k. What is h*q(d) - 4*p(d)?\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-45))\/((-32)\/(-128)))\/(768\/320)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 19, 32, 47?\n\"Answer: b**2 + 8*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -399, -17, 4 in decreasing order.\nAnswer: 4, -17, -399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 166981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 9*m - 25. Let x be d(12). Solve 5*t = -x - 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7299449 divided by -108947\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*n - 59 - 261 = 0, -854 = 5*r + n. Let y be 65625\/(r\/256 + 6\/9). Round y to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3591241, -7182480, -10773719, -14364958, -17956197?\nAnswer: -21547436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*d = -224*d - 95, 5*d + 94 = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y, -4*c + 48 = -4*y + 8*y. Let t be 25*(c\/5 + -2). Calculate the greatest common divisor of t and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(2\/5))\/(j\/(j*j**(-3))))\/(j\/(j**(1\/2)*j)*j*j**8*j))**31 assuming j is positive.\nAnswer: j**(-3131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*t**2 - 10*t**4 - 30*t**2 + (-3*t**4 + 2*t**4 + 2*t**4)*(-2 + 1 + 3))*(t - 3*t + 3*t).\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - -5) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 12. Let i be m(0). Calculate the highest common divisor of i and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/2 - 89009*f**2 - 7922602081*f\/2.\nAnswer: -f*(f + 89009)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 437 and 0.1.\nAnswer: 43.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 924 + 836 + 883*k**2 - 227 + 2*k - 3*k with respect to k.\nAnswer: 1766*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-129)\/(-6))\/(1\/(-2)). Let h = 3 - u. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 686, 670, 654?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*p + 6180 = 254*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 75*w**3 + 28620*w**2 + 102303*w + 91854 = 0.\nAnswer: -378, -9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58128*0.341.\nAnswer: 19821.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -3 (c) 4\/7 (d) 3443 (e) -0.2 (f) 0 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/12*28\/(-5). Let u be (-7)\/(-21) + f\/(-6). Which is the second biggest value? (a) 1 (b) u (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/7 (b) -17 (c) -0.3 (d) -0.2 (e) 2\/789\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4839, 9655, 14453, 19233, 23995, 28739, 33465?\nAnswer: 38173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(28)\/sqrt(4) + 2 + sqrt(7) + 3)**2*3 + -5 + 3 + (sqrt(343) + 1)**2.\nAnswer: 122*sqrt(7) + 669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12540766?\nAnswer: 2, 7, 101, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 6. Let y = -2 - -21. Suppose -4*l - 2*t = -3*t + 17, 3*t + y = -2*l. Sort 0.1, l, z.\nAnswer: l, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -49*y**2 - 299*y + 82. Let d(t) = 2*t**2 + 11*t - 3. Let n(x) = -27*d(x) - k(x). Suppose 2*i - 5*o - 29 = -12, 0 = -3*i + 4*o + 15. Calculate n(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 197\/(-394)*17\/(34\/(-44)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 31 - 16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1933542195, 1933542196, 1933542197?\nAnswer: 1933542198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*2*5 + 4*(sqrt(72) + sqrt(72) + (sqrt(72) - (-1 + sqrt(72)))) + 1)**2.\nAnswer: 1080*sqrt(2) + 23353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -154633, -154634, -154635, -154636, -154637, -154638?\n\"Answer: -m - 154632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -12.9.\nAnswer: 5.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 993652606 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - 2*g + 28. Suppose 4*t = g + 6. Suppose -6*r**3 + 70*r**4 - 8 - 18*r**4 - 74*r**2 + 30*r**4 + 48*r - 42*r**t = 0. Calculate r.\nAnswer: -1, 2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 107?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -37 and 0.0647.\nAnswer: -36.9353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/11)*q*q)\/q)\/(q\/(q\/(q*q**27))) assuming q is positive.\nAnswer: q**(-296\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-10))\/(9*-1)*-3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-66))\/(15688\/(-70596))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1786403 is divided by 446600?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321 = 27*c + 240 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than 2171\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 2048275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -9641*w + 202408. What is i(21)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-6) - (-1614)\/(-1440) and 17\/25.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*d + 114*d - 4*g + 4 = 0, -d - 3*g - 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*s + 105. Let y be 5*1*(-4)\/(-10). What is the remainder when s is divided by 1 + 11*y\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (148\/28 - 4)\/(10\/35). Factor 15\/2*v**2 + 1\/2 + 7\/2*v + k*v**3.\nAnswer: (v + 1)*(3*v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13967 - -13990. Solve -3*y = -a - i, -2*y = 5*a + 71 - 58 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + sqrt(242)*2))**2.\nAnswer: -3520*sqrt(2) + 15888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y + 45 = -40*y. Let x(s) = s**3 + 5*s**2 + 4*s - 4. Let g(d) = -d**3 - 6*d**2 - 5*d + 5. Give y*x(n) - 4*g(n).\nAnswer: -n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2111 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 - 2*a**2 + 159 - a**3 - 30*a**3 + 30*a**3 in the form m + o*a**3 + c*a**2 + y*a and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhrhhrhhhhh?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**5*l - 35763*h**5 + 4*h*l + 4139*h + l - 28 wrt h.\nAnswer: 20*h**3*l - 715260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 44*y**2 + 63*y - 863. Calculate i(43).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 h when three letters picked without replacement from {s: 4, h: 6, y: 3, t: 4}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**4 - 8*h**3 + 6*h**2 - 16*h - 2. Let r(w) = w**3 + w**2 + w + 1. Let o(y) = b(y) + 8*r(y). Factor o(g).\nAnswer: 4*(g - 2)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/80 of a day?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 2765764?\nAnswer: 2765764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - -7*10\/(-22). Which is the closest to 0.1? (a) 2 (b) f (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 10 = -d + 5, -11 = -d + 2*l. Suppose 0*k - 4*s + 32 = d*k, -7 = 2*k - 3*s. Suppose 3*r - 10 - 5 = 0. Put r, 2, k in descending order.\nAnswer: r, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**5 - 123*w**4 + 840*w**3 - 964*w**2 - 528*w = 0. What is w?\nAnswer: -2\/5, 0, 2, 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 2*o + 24 = 0. Let w be (-108)\/(-1 + -2) - o. Calculate the greatest common factor of w and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19977 or 19976?\nAnswer: 19976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31455 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 1 + 5 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 - 125 = 19*w. Calculate the remainder when 264 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 253442251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7962675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = -8. Suppose -r*g + 426 = 16. Is 23 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*a + 161 + 4*a - 25*a**2 - 3*a + 367 + a wrt a?\nAnswer: -50*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -1, 4, -7, -41, 23.\nAnswer: -41, -7, -1, 4, 23, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -301598 by -1.\nAnswer: 301598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**2 + 1985*v - 5926. Calculate k(394).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 10:38 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8182570 or 8182576?\nAnswer: 8182570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -608 and 9.9.\nAnswer: -598.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 284 (base 12) to base 7\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from iipididiidpdd?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2632*i**4 - 409*i**2 + 4137159*i?\nAnswer: 31584*i**2 - 818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 minutes before 3:48 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**3 + 2*s**2 + 5*s - 35. Let g(c) = -6*c**2 + 9*c + 11. What is -2*g(b) + 5*z(b)?\nAnswer: -3*b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1530 + -2303. Suppose -4*y + 8172 = 2868. Let o = z + y. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 778 + 734 - 237 + 455 + 2050 - 464 - b**2.\nAnswer: -b**2 + 3316","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 433524\/12704*(-48)\/(-42).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7479\/946 or 9?\nAnswer: 7479\/946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 144719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 + 2*v + 18. Let s(p) = 2*p**2 + 3*p + 17. Let t(f) = 3*r(f) - 4*s(f). Let a be t(8). Let y(m) = m + 1. Determine y(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 36. Is 10 a factor of 2\/2 + g + -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/3)\/(1\/3). Let o be l\/(-14) - 69\/(-21). What is the second derivative of 2*t**5 + 0*t**o + 0*t**3 + t - 2*t wrt t?\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 11:00 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 6*i - 63. Suppose 5*p + i = 14*p. Suppose -r = f - 50, r + p*f - 255 = -4*r. Calculate the remainder when r is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/11)\/m)**14)**(2\/115)\/((m\/m**(3\/2))**(-42))**(-1\/27) assuming m is positive.\nAnswer: m**(6587\/11385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 5*b - 915, 7*d = 2*d + 5*b - 915. Let f = d - -605. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 4*w = -7*w + 41412. Is w a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f = 4*f - 32*f + 1425 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*(-232)\/261\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5599486308?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 184 + -332. Let r = h + 153.9. Which is smaller: -0.1 or r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 158*d - 189. Let p be h(8). Suppose -2*n + 3*i + 423 = 0, 5*n + i - p = 5*i. Is 35 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24024563?\nAnswer: 4831, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10010011?\nAnswer: -10010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c**2 + 4\/9*c**3 + 2\/3*c**4 + 0 + 0*c + 2\/9*c**5 = 0. What is c?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**2\/2 + 6*y + 3338. Let d(v) = v + 3. Let b be d(5). Determine u(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161.13 + -162. Let n = 0.07 + f. Let o = 0.4 + n. What is o rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(4) + 4 - ((-1*sqrt(3))**2 + 1).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g + 1. Let o(s) = s - 1. Suppose 7*q + 16 = 4*a + 2*q, -4*a - 4*q - 20 = 0. What is a*k(j) - o(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/2*(-6)\/(-9). Let q be (-7)\/(-14) + (-69)\/o. Let d = q - -96. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5420 (base 6) in base 14?\nAnswer: -644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 75139210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 3 + (-11 - 12) + -4?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 930127021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**6\/40 + 7*f**5\/120 + f**4\/6 + 3*f. Let h(o) be the third derivative of t(o). Is h(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*d - 5 = 4, -35 = 5*d. Solve -3*p + 25 - 26 = 4*j, -s*p - 3*j = -13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 9805 - 32411 - 60544 = 0. List the prime factors of d.\nAnswer: 2, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1223\/9 - 136. Suppose -4*l + 0 - 4 = 0. Do l and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 134*i - 14156. What is c(-71)?\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 49*m + 13. Suppose u = -3*u + 5*a + 14, -5*a + 28 = 3*u. Is i(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 1\/4, 31\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 1001?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 5, e: 6, x: 1, m: 1}. Give prob of sequence emx.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/132 and (5 - 102\/18)*726\/(-40).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -21*f**2 + 11595*f + 58500 = 0.\nAnswer: -5, 3900\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*g**4\/2 - 7737*g**3\/4 + 18861*g**2\/2 - 4719*g + 510 = 0 for g.\nAnswer: -10, 2\/13, 2\/5, 17\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 546 + -525. Let v be 2\/5 + 1869\/15. Let b = v - 64. Calculate the remainder when b is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 19 = v, -6 = -v - v. Suppose -4*q + 4*i - 13 = -1, -12 = 5*q - 4*i. Let u be 0 + w + q + 0. Solve -13 = 3*x - u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.98 - 0.78. Let a = -0.04 - -0.54. What is the nearest to -1\/2 in z, a, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6*w. Let b be (12\/(-6))\/(w - 2)*0. Round b to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 21*x**3 - 41*x**2 - 18*x. Let o(f) = -43*f**3 + 83*f**2 + 34*f. Let b(s) = -7*c(s) - 4*o(s). Factor b(g).\nAnswer: 5*g*(g - 2)*(5*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 8 = -7*s. Let m be (-6)\/(2 - s) + 4. Let h be (-4)\/(-14) - (-80)\/(-84). Is h less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/5 + 15092*b\/15 - 6704\/5.\nAnswer: -2*(b - 2514)*(3*b - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwvttttptpfwttppw. What is prob of sequence pwp?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35589 - -35589.0048139. Round x to 4 dps.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t + 0*t)*(-1 + 0 - 2)*(2 - 1 + 0 + (2 - 4 + 1)*(2 + 3 - 3) - 3 + 2 + 2 - 1 + 2 + 1)*(16 + 1 - 3).\nAnswer: -168*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-10 - (6 - (16 - 3))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (-22 - -8) - (57 + -15)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u = 16*u + 9. Let p(o) = -26*o**3 - o**2 + o. Give p(u).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -15. What is the lowest common multiple of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/16 + (-643467)\/(-46376).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d - 375900 = -393*d. Calculate the lowest common multiple of 294 and d.\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j - 88. Let r be t(25). Solve -4*i + 4*f - 8 = 0, 4*i + 4*f + 12 = -r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4352141 to the nearest one thousand.\nAnswer: -4352000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111101011001 - -1100100011?\nAnswer: -101110000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-66314)\/(-8 - -6)*(-32 + 33)?\nAnswer: 71, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {z: 2, a: 4, g: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 f, and 2 e when four letters picked without replacement from lqfefehfeqr.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -71. Let n(p) be the third derivative of -1\/24*p**3 + 1\/240*p**5 + 1\/480*p**6 - 1\/96*p**4 + p**x + 0 + 0*p. Find l such that n(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 177.5 - 228. Let s = n + 51. Let p = 1.6 - 3.6. Which is the smallest value? (a) s (b) -1\/2 (c) 2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1171 + 1674. Calculate the remainder when f is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*b - 2*b. Suppose -2*c - 2 = b, 5*r = c + c + 492. Factor -196*s + r*s + 102*s - s**3 - s**2 + 4.\nAnswer: -(s - 2)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15372223 is divided by 549005.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 185675315 to the power of 1\/3, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.455382 - 205.\nAnswer: -208.455382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiipiikiilpipplli. What is prob of sequence ili?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hehheeeheedeeehee. What is prob of picking 1 d and 1 e?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/9 + 2893*t**4\/9 + 72881*t**3\/9 + 201275*t**2\/9 + 195484*t\/9 + 64196\/9 = 0. Calculate t.\nAnswer: -22, -1, 2918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 9 - 1 - 8.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - b = -4 - 40, -b - 46 = -5*k. Calculate the lowest common multiple of 9 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*b + 37. Let r = b + -9. Put r, -3, 1 in ascending order.\nAnswer: -3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 27*r - 1. Let y be o(-23). Let f = y - 92. Put f, 0, 3, 5 in descending order.\nAnswer: 5, 3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*f + 6552 = -96*f + 8*f + 79*f for f.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246854 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: What is -0.0161806 plus -0.409081276?\nAnswer: -0.425261876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65329853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1555341 + 2460549921\/1582. Let r = n + -1\/226. Suppose -5*l = -3*k - 1, 3*l = k + 7*l + 6. Which is the closest to r? (a) 0.2 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 57 - (50 + -19 - 30).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2368660037?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*1*-2)\/((sqrt(9) - -2*sqrt(9)*-4) + sqrt(9)) + (sqrt(475) + (sqrt(475) - -3*sqrt(475))*-2)*6)**2.\nAnswer: 7517179\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -1 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6298 = 10*l - 5984 + 4232. Calculate the greatest common divisor of 140 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22449119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*z, 5*z - 4*z - 8 = -4*m. Let i be (-3)\/m - -6 - 1. Suppose 0 = 2*k - 4, 3*t = 2*t + 3*k - i. Solve t*f + 3 = -1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049329 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -817, -3211, -7201, -12787, -19969, -28747, -39121?\nAnswer: -51091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.939 take away 41055966.9?\nAnswer: -41055967.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - 95\/20 - 1631\/(-4). Suppose -17*m + x + 272 = 0. What is the greatest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 13 - 30 - -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 368*x**2 - 778*x - 14062. Determine t(-370).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - 0. Let w = -277 - -277.4. What is the closest to r in 4, w, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -1320, 3, -28?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + (-3 - -77) - (-1 + 3). Let p(o) = 5*o + 4 - 2 - 5. Let w be p(5). What is the highest common divisor of t and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 + 73. Suppose 2*n = -r*q - 182 - 89, 0 = 2*q + 2*n + 112. Let b = q - -49. Put 2, b, 5 in increasing order.\nAnswer: b, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1024593650 and 5290.\nAnswer: 5290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -355, -1145, -2397, -4117, -6311, -8985?\nAnswer: -12145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155990.87 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 965, 957, 937, 899, 837, 745, 617, 447?\n\"Answer: -n**3 - n + 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a century?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 37, -345, -7 in decreasing order.\nAnswer: 37, 5, -1, -7, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*n**3 + 49*n**3 - 18*n**3 - 8*n**3 + 4*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12457 - 224327\/18. Let c = 46\/9 + j. What is the closest to 0 in 5, 20, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 2776?\nAnswer: -2772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-5))\/((-21)\/70). Let c be (-1)\/2 + 0 + (-38)\/m. Is -9 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(n*n\/(n*n**5*n)))\/((n\/(n*n*n*n*n*n\/n**(-14)*n))\/n)*n**(-12)*(n*(((((n*n**(-28\/5))\/n)\/n*n)\/n)\/n)\/n)\/n assuming n is positive.\nAnswer: n**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 52 = x. Let p be x\/27 + (-1)\/(-3). Solve f + 8 = -p*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + 1 + 1 - (1 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**6\/360 - h**5\/120 + 7*h**3\/3 - 19*h**2. Let o(f) be the first derivative of y(f). Determine o(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*g + 2. Let d be 0 - (-8)\/(-780)*-9. Let o = d + -113\/520. Which is the closest to 0? (a) 1\/2 (b) g (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*d - 3*s, 11 = d + s + 5. Let m(j) = j**2 - 7*j + 6. Let k be m(d). Solve k = -4*l - 8, -n - l + 4 = -3*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741115?\nAnswer: 5, 17, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1134 times 0.2?\nAnswer: 1.42268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 - 4*b**2 - 2*b + 6. Calculate r(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 2623 - 26*t**3 - 1316 - 1307 + t**3.\nAnswer: -25*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -169, -185, -215, -265, -341, -449, -595, -785?\n\"Answer: -a**3 - a**2 - 6*a - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 1\/7 (b) -3\/4 (c) 4\/3 (d) -0.38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -606*-3*(-20)\/(-36). Suppose s = 3*c - 986, 3*c + 5*s + 0*s = b. Let p = 487 - c. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 16424 = -17*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(10*y**3 + 24*y**3 + 2*y**3)*(57 + 107 - 43) to the form u*y**2 + d*y**3 + c*y + w and give d.\nAnswer: -4356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 10918 - 7832. Let c be t*5*40\/6. Round c to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0 = -5*r + 2, -4*r = 3*t - 7. Calculate the smallest common multiple of ((-12)\/15)\/(6\/(-15)) and 1 + (r - (1 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549228 > -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/8160*465\/93?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401701257 divided by 133900419?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 621 - 1239\/2. Let j(f) be the first derivative of 9 + l*f**2 + 2\/3*f**3 + 0*f. Let b(n) = -6*n**2 - 8*n. What is -3*b(w) - 8*j(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 5. Let f(d) = -2*d + 9 + 9 - 8 + 12. Let k be f(11). Suppose 4*t + 5*w - 5 = k, t + 1 - 4 = -3*w. Determine p(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 39, 78, 119, 162, 207?\n\"Answer: z**2 + 36*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1818 and 139\/2434914.\nAnswer: 245926314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0.01, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.01, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -6399 to the nearest one hundred.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 422 and 136619968?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 6. Suppose -u + 2*u + 644 = k*h, h = 5*u + 148. Suppose -h = -v - 41. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 5:33 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19796, -19069, -18342, -17615, -16888, -16161?\nAnswer: -15434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 162694 + 0.156104\nAnswer: 162694.156104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = 15*v - v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 538*x**2 - 3*x + 1. Let y be f(1). Let c be -10 + y\/56 - 146\/(-14). Let w(i) = -i - 11. Give w(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 - 33a?\nAnswer: -35c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkhkkkkdhhdhhhhk. What is prob of picking 2 h, 1 d, and 1 k?\nAnswer: 21\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41890 is divided by 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -18*q - 1484. Let h be j(-82). Let f(x) be the third derivative of x**6\/120 + 7*x**5\/60 - 7*x**4\/24 - 4*x**3\/3 + x**2. What is f(h)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/90)\/(4\/10). Which is the nearest to -0.3? (a) 0.2 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2281584.\nAnswer: 2, 3, 47533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 42.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 955726952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + 5*2*sqrt(180) - 4*1*sqrt(180).\nAnswer: 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.214 - -10.914. Let i = 11 - a. Put 0, i, -5\/2 in decreasing order.\nAnswer: i, 0, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10189241317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/2)\/(-55 - -57) - 2*(-12)\/102.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.294, 0.4, -0.115 in decreasing order.\nAnswer: 0.4, -0.115, -1.294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415*a - 32*a + 111*a.\nAnswer: 494*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 16 - (8 + -16) - (61 + -17)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -36609502.2 to the nearest 1000000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 5:02 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 455 or -158?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0055098924 to five dps.\nAnswer: 0.00551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (56 + -3 - 49).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)*f\/(f\/(f*f**6)))\/(f*f\/(f*f*((f**(-1\/3)*f)\/f*f*f*f*f)\/f*f))**(-31\/3) assuming f is positive.\nAnswer: f**(-305\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5450 is divided by 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z + 12. What is the remainder when g(5) is divided by (-93)\/(-5) - 2\/(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1675, 6308, 14031, 24844?\n\"Answer: 1545*c**2 - 2*c + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 410325967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66443571?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/16311460 and 16\/370715?\nAnswer: 16311460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 0)*(-9)\/(-45)*-5. Does 24 divide s\/(-27) + (-2 - (-709)\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 5*k - a, -4*k - 3*a = -13 - 28. Let p(m) = m**3 - 11*m**2 + 12*m - 11. Does 34 divide p(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 4*h + 24. Let w be q(3). Let z(a) = 2*a + 8. Let c be z(6). Let g be (c - -1)\/((-1)\/(-9)). Calculate the greatest common factor of g and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ysqsyqsqqsqs. What is prob of picking 2 y and 2 q?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -961 + 1711. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 27*g - 8*g to f + v*g and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {l: 1, y: 2, h: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 250 and 235?\nAnswer: 11750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159179 + -106512. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 2*i + 1. Let g(n) = 1255*n**4 + 5*n**2 + 10*n + 1602. Let o(s) = -5*a(s) + g(s). Differentiate o(y) wrt y.\nAnswer: 5020*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 5:50 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**4 - j**2 - 1. Let o(y) = -16*y**5 + 6*y**4 + 7*y**2 - 6. Let p = -89 - -88. Let i(m) = p*o(m) + 6*k(m). Find the third derivative of i(l) wrt l.\nAnswer: 960*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -73732 (b) -4 (c) -349\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -353165 divided by 15355?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3817227494?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19, -11, -3, 5?\n\"Answer: 8*j - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 7*h**3\/3 - 6*h + 24. Let t(f) = 11*f**2 - 9. Let a(p) = 5*t(p) - 8*w(p). Give a(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 19*c. What is the units digit of m(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 - 2*y**3 + 0*y**3)*(-2 + 4 + 0) + y**3 - 5*y + 5*y + y + 4*y**3 - y + (-y + 2*y + 0*y + 1)*(-7*y**2 + 4*y**2 - 4*y**2).\nAnswer: 2*y**3 - 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 6*s + 8. What is the remainder when i(-4) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-840))\/(24\/16)*(-50)\/(-2)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -791*i*y**2 + 3793320*i - 4088*y**2 - 7 wrt y.\nAnswer: -1582*i*y - 8176*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = w - 69, -7*w - k = -9*w + 138. Let n(m) = -w*m**3 - 417*m + 419*m - 3 - 2*m**2 + 4. What is the tens digit of n(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45299, 7, 1 in decreasing order.\nAnswer: 45299, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13 and 684?\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 10*t = -3*u - 7*t - 260, 3*t = 4*u - 222 - 14 for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*h**3 + 26*h**2 - h?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -3. Let l be (-1 - (-5)\/2)\/(-3). Let t = 6 + -11. Which is the closest to l? (a) 3\/5 (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(70\/144)*290\/(-609) + -6. What is the second smallest value in y, -1\/2, -54?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**2. Let l = 2 + 4. Let m(r) = -7*r**2. Let j(d) = -13*d**2. Let q(s) = l*j(s) - 11*m(s). What is c(q(a))?\nAnswer: -5*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*x + 62711 + 8*x**2 + 4*x**2 - 62712 to s*x + g + k*x**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000027398 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**2 + 18*g**2 + 2*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10709 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 0. Suppose -3*a + 2*w - 1 = 0, -a - 5*w = -2*w - 18. Let x(f) = -f**2 - 4. Let p(b) = -4 - 13 + 31 - 5 - 12. What is a*p(q) + n*x(q)?\nAnswer: 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 3 + 16 + -15 + 2 + -7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -24. Let n(g) be the second derivative of -g**4\/12 - g**3 - 3*g**2\/2 + g. Calculate the remainder when t is divided by n(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**4\/2 - 185115*o**3\/2 - 1427490831*o**2 + 10015302192*o + 282771542592 = 0.\nAnswer: -30856, -11, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-6 - -3)\/1. Let a be 6*(f + 10\/3). What is the greatest common factor of 48 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let k(x) = -x**2 - 38 + 75 - 39. Determine k(a(c)).\nAnswer: -c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 1 + 1)*(3 + 2 - 2)*(-4*o**4 + 0*o**4 + 3*o**4).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-238)\/323*(-1843)\/(-2328)\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*x + 209 - 230 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/246 and 69\/1726?\nAnswer: 212298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (48 + -4) - (4 - -16).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**4 + 252*u**3 - 4353*u**2 - 14868*u - 10260 = 0.\nAnswer: -2, -1, 30, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -4*j - 3*z, j - 5*z + 49 = 4*j. Let o(s) = 2*s - 4. Let a be o(4). Solve 4*h - 2*t + 13 = -h, -3*t + j = a*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -29, 1\/10, -2\/13, 7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56 - -22?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w + w**2 - w + 0*w**2 - 2 + 5*w. Let p be f(5). Let i = p - -43. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 0. Let o = u + 8. Find the second derivative of 0*t**2 + o*t + 2*t**2 + 2*t**2 - 2*t wrt t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Let t(v) be the second derivative of v**5\/20 - v**4\/6 + v**3\/3 - 3*v. Give t(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -15 - 9 - (-1 - 2). What is the lowest common multiple of (a\/(-14))\/(1\/12) and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 1. Let l = 105 - 106. Let o(i) = -2*i - 5. Calculate l*o(t) + 4*q(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*d - 7 = 0, 11*p - 14*p = -2*d - 10. Let q(i) = 2*i**2 - 5*i + 4. Calculate q(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.44 + -0.14. Suppose 5*m = -2*j - 17, -6*j = -4*m - 7*j - 13. Let o be (1\/8)\/(12\/(-16)). Which is the nearest to 2? (a) h (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*w - 6*n + 23, -w + 5*n = 19. What is the tens digit of (10\/w)\/((-2)\/(-42))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/6 (b) 40 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s - 3*s + 4*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3564 and 19022982.\nAnswer: 1027241028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (4 - (4 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/3*(-10)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1316 is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.8877 rounded to zero dps?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4}. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 55*j + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3)*w*((w**(3\/10)*w)\/w*w)\/w assuming w is positive.\nAnswer: w**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*d + 4*x, 8*d - 3*d = x + 35. Suppose -5*z = -d*z + 34. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9706 + 48552\/5. Which is the fourth biggest value? (a) -0.5 (b) 4 (c) 0.5 (d) -5 (e) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 7. Let n be ((-2)\/4)\/(c\/(-30)). Sort 0, -1, n in increasing order.\nAnswer: n, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -912*d - 861*d**3 + 3730*d**5 + 429*d**3 + 432*d**3 + 1 - 1073*d**5 wrt d?\nAnswer: 53140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3708982, -3709002, -3709046, -3709126, -3709254, -3709442, -3709702?\nAnswer: -3710046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 178, 4, -2, -41, -4 in increasing order.\nAnswer: -41, -6, -5, -4, -2, 4, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0*28199446\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 7 - 1)*(j + 2*j - 5*j)*(-1 + 3 - 1).\nAnswer: 96*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.5, 61?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 11*h**3 - 628*h**2 + 40*h + 980. Give v(57).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 24. Let f be s(13). Let m(y) = 2*y**2 - 5. Let c(x) = -6*x**2 + 14. What is f*m(l) - 4*c(l)?\nAnswer: 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 951 + -929. Calculate the least common multiple of f and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 167 - 47. What is the smallest common multiple of 16 and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -7*c**4\/12 - 16*c**2 + 69*c. Let u be n(28). What is u rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -3*p + 7, 4*g + 3*p - p = 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1385*b**3 - 2*b**2 - 508*b + 1022. Is 58 a factor of a(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*y - 17, -3*y - 13 = -3*f + 29. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 e when four letters picked without replacement from {e: 7, p: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.3, 2, -0.07, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (71\/((-3408)\/(-160)))\/((-2)\/(-12))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -114 or 48048?\nAnswer: 48048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and -3579802 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2544057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129256?\nAnswer: 2, 107, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -180 + 98425?\nAnswer: 98245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165617 is divided by 3176?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 12*x - 5. Let f be n(17). Suppose -f = -6*t + 274. What are the prime factors of t?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4*o + 2*g - 28 = 0, 0 = -2*o - 5*g + 34. Let i = 0 - -14. Calculate the smallest common multiple of i and o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1)*(2807*v - 1956*v + 9578*v + 15367*v + 6424*v) to x*v + f and give x.\nAnswer: -32220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i + 110. Is t(5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -1. Let f = -1322\/63 + 194\/9. Let z = 382 - 383. Which is the nearest to z? (a) f (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -397 - -983. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35910)\/(-250))\/(-133)*-10.\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -13212750?\nAnswer: 13212747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1132689*t**2 + 1132689*t**2 + 11*t**3.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 u, and 2 c when four letters picked without replacement from {o: 2, u: 2, c: 4, j: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2736)*-2*4)**2.\nAnswer: 700416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027068228 to six dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6773, -11, 0.2, -4\/7 in decreasing order.\nAnswer: 6773, 1, 0.2, -4\/7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 849033 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: Let p = 454 + -451. Solve p*u = 13 - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**6\/20 - b**4\/24 + 5*b**2\/2 + 6. Let p(r) be the second derivative of n(r). Find the second derivative of p(d) wrt d.\nAnswer: 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28920282 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -873 and 118.\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17681327, -35362656, -53043985?\nAnswer: -70725314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53592 = 26287*x - 26275*x. List the prime factors of x.\nAnswer: 2, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(12)\/(sqrt(4) + sqrt(64)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 2, -6, 729.\nAnswer: -6, 2, 33, 729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2831424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**4\/18 + 7*c**3\/9 - 705*c. Factor i(h).\nAnswer: -2*h*(h - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -1)\/((-63)\/(-21)). List the prime factors of 4\/(-12)*v + 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 102*r**3 - 117410 - 103*r**3 - 8748*r - 40054 - 162*r**2.\nAnswer: -(r + 54)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u. Let b = -93 - -100. Let q(h) = b*h - 16*h + 5*h. What is q(m(j))?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 - -455.192683.\nAnswer: 423.192683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.3, 265, -0.13 in ascending order.\nAnswer: -0.13, 0.3, 6, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2230, 2571, 3132, 3925, 4962, 6255, 7816, 9657?\n\"Answer: 2*n**3 + 98*n**2 + 33*n + 2097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 39 = -5*w, 7*w - 12*w + 55 = -5*r. Let s(m) = -m**2 + 9*m - 4. What is s(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -6. What is the second biggest value in 5, -0.9, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 983 + -983 + -1 + -13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 4. Let p be (-26)\/(-4) + z\/(-2). Let q = 4 + p. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s + 5*h - 281 = 190 + 174, 5*h = 3*s - 55 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 - (-76)\/(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -660 divided by 20.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**4\/4 + 10*n**3\/3 - 3*n**2\/2 + 19*n + 2816. Calculate p(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -606, -0.26, 2\/11.\nAnswer: -606, -0.26, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111112010321130 - -1?\nAnswer: 111112010321131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46523.\nAnswer: 46523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 316*a**3 + 69*a**2?\nAnswer: 1896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8171.266us to milliseconds.\nAnswer: 8.171266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 169*y + 169*y - 103*y**2.\nAnswer: -103*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-207)\/92*48\/(-42)*-7.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1072 + 2127 = -84*n - 1894 - 1039 for n.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 3:16 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 592.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*w + 8. Let q(i) = -3 + 2*i + w - 3*i. Let j(r) = 2*r**3 - r. Let f(h) = j(h) - q(h). What is the first derivative of f(g) wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 + q**4 - 3*q**2 + (q + q + 0*q)*(0*q**2 + q**3 + 0*q**2) - q**2 + q**2 + q**4 - q + q**4 + q - 12*q**4 - q**4 - 2*q**2 + 3*q + 7*q**4.\nAnswer: -q**4 - 2*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8 - 18 - 7*f + 11 - 47*f. Let c(z) = 44*z - 3*z**2 - 44*z. Determine g(c(a)).\nAnswer: 162*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3700, -7289, -10878, -14467, -18056?\nAnswer: -21645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-26)*y*y*y**(1\/8) assuming y is positive.\nAnswer: y**(-191\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**5\/2 + 117*k**4\/2 - 5031*k**3\/8 + 8823*k**2\/4 - 14103*k\/8 + 405 = 0.\nAnswer: 1\/2, 5, 9, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1021 + -30001?\nAnswer: -22320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*v + 14, 0 = 3*l - 0*l + 5*v - 38. Suppose 0 = 14*p - 15*p + 42. Calculate the greatest common factor of l and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160458.8 tonnes to micrograms.\nAnswer: 160458800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**2\/5 + 43908*n\/5 + 924273 = 0?\nAnswer: -105, 44013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28998 = l - 28*l. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 1 + 0 - sqrt(45)\/(sqrt(9)*-1))**2 + -2.\nAnswer: 4*sqrt(5) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667*p + 456*p - 2430 = -454*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - c - 1)*(-45*c**4 - 83*c**4 - 53*c**4 + 4*c**2 - 4*c**2 - c**4 + (5 - 2 - 5)*(c**4 - c**4 + c**4) - 2*c**4 + 2 - 2 + 3*c**4 + 4*c**4 - 6*c**4).\nAnswer: 185*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**3\/3 + 57836*h**2\/3 - 69677920*h - 69697200 = 0.\nAnswer: -1, 7230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7492855 + -84007143. Let u be j\/(-10) - 94\/(-470). What is u rounded to the nearest one hundred thousand?\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y. Let a(j) = -430*j + 4. Let x(q) = -1312*q + 14. Let p(k) = -7*a(k) + 2*x(k). Give p(b(m)).\nAnswer: -3088*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5059.88527 rounded to one decimal place?\nAnswer: -5059.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 167138 and 37238?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115*x**2 - 108*x**2 + 145*x**2)*(x - 3*x - 3*x) + 0 - 2*x**3 + 0.\nAnswer: 388*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*n**3 + 8*n**3 - 6*n**3)*(3 + 1 - 2)*(-4*n**2 + 5*n**2 + n**2).\nAnswer: 56*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13849476.\nAnswer: 2, 3, 1154123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.633 - -15.75858. Let w = 0.103 - k. Round w to 3 decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/7 (b) 0.08 (c) 3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-7)\/(-21)*2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Let c(n) = -15*n - 2 + 36*n - 22. Let h(v) = -5*v + 6. Let b(t) = 2*c(t) + 9*h(t). Calculate b(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/22*(-3 + 33\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {o: 1, h: 1, y: 1, e: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 389 (c) -1.9436\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/21488 and -109\/6868102?\nAnswer: 54944816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2, -0.01, -20, -0.0539?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7343, 4074, -1361, -8950, -18681, -30542?\nAnswer: -44521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/17 and 29\/76394.\nAnswer: 1298698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87931\/7 - 12562. Let f be (-6)\/9 + (-11)\/(-12). Suppose 3*g + 25 = 2*m, -6*m = g - 2*m - 15. What is the third smallest value in f, p, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {y: 7, e: 6, a: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3305.1 - -3310.1. What is the third smallest value in -5, 1, k, -0.101, -12?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -58034, -116068, -174102, -232136, -290170?\n\"Answer: -58034*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 5*x**2 - 5)*(-3*x**2 - 5*x**2 + 2*x**2) - x - 3*x**4 + x to s*x**4 + p*x**2 + m*x**3 + g + u*x and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4\/8 + 723*q**3\/8 - 54513*q**2\/8 + 106853*q\/8 - 6633 = 0. Calculate q.\nAnswer: -792, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-66)\/(-7) + -2)\/((-4)\/(-14)). Let p = h + -18. Is 1583\/2*16\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/175)\/(2\/(-14)). Which is the closest to -12\/7? (a) -0.5 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 558 + 266 = 256*t - 19, -5*o - 60 = -o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 12*m + 107 = -9*z, 2*z - 55 + 38 = 2*m - 37 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q. Let b(j) = -274*j**2 + 1009*j. Determine b(w(k)).\nAnswer: -274*k**2 - 1009*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/28061 and 87\/280610.\nAnswer: 280610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301 divided by 17423.\nAnswer: -43\/2489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 8:45 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -7. What is the units digit of (-175)\/(-21) - l\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 508\/(-14) - 2\/(-7). List the prime factors of 50\/12 + 6\/i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 5*j - 44 + 2 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 12:02 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 3*o. Suppose -3*b + 6 + 1 = 2*s, s = -3*b + 5. Let c be (s\/3)\/(2\/9). Suppose 4*d = c*z + 28, 0*z = 2*d - 3*z - 20. Calculate u(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w\/w**40)\/w)*w*(((w*w**(-33)\/w)\/w*w*w)\/w)\/w)**6 assuming w is positive.\nAnswer: w**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/105)\/(66\/(-15))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d + 144 = 0. Let f = -30 - d. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnmmmnn. What is prob of sequence mmnn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -297520 + 297560.69646. Let b = r - 40.7. Round b to four dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3)\/o*(o*((o**18*o)\/o)\/o)\/o*(o*o\/o**(-14))\/o*o**11*o assuming o is positive.\nAnswer: o**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(1573))*6.\nAnswer: 2 + 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 4, 0, 0.3, -228, -1\/2, 0.27?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -3.95, 5\/2, 0.197, -18 in ascending order.\nAnswer: -18, -3.95, -2\/11, 0.197, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*h**3*w**3 + 3514*h**3 - 75*h*w**4 with respect to w.\nAnswer: -33*h**3*w**2 - 300*h*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90779172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -3*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -2 + 6 + -48 + 12\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwq when three letters picked without replacement from {z: 1, j: 1, w: 1, q: 2, h: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**8*(a*((a*a**0)\/a)\/a)\/(a**0\/a) assuming a is positive.\nAnswer: a**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000132932 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -16\/5*o**4 - 19*o**2 + 0*o - 1\/60*o**6 + 0 - 61\/150*o**5 - 12\/5*o**3. Solve b(g) = 0 for g.\nAnswer: -6, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 5*y + 184. Let p(z) = -2*z + 5*z - z + y. Let t be p(-10). Solve 9 = q + 5*v, t*q + v = 8 + 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99537 is divided by 33175?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -744 - -736. Let j be -3 - (9 + -5 + (m - -2)). Sort -31, j, 1\/4, 0.2 in ascending order.\nAnswer: -31, j, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 16317*k**2 - 32643*k - 16323.\nAnswer: 3*(k - 5441)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*i + 39 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 10*y. Let i(c) be the third derivative of -c**4\/12 + 11*c**2. Give i(l(s)).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, m: 2, w: 3, h: 1, z: 3, y: 4}. What is prob of sequence hwty?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 2*x + x - 2*x + x - 3*x - 2*x + 2 - 2 + (1 + 1 - 4)*(-3*x + x + 3*x) + 1 - 1 + 3*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 - f**2. Suppose -4*z + 3 = -1. Let r be g(z). Let h(p) = -5*p**3. Let q(m) = m**3. Calculate r*h(t) + 4*q(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 5*s - 35, 11290952*i - 11290962*i = 2*s + 34 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 9*p + 47 = 0, -124 - 53 = 4*i - 5*p - 20 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/4)*j*j\/(j*j**(2\/5)))\/((j**(-2)*j)\/((j*j*j*j**5*j)\/j)))\/(j**(3\/7)\/j*j\/(j\/(j\/(j**(1\/2)\/j)))*(j**(-2\/5)*j)\/j**(2\/5)) assuming j is positive.\nAnswer: j**(1221\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 0*r**2 + 2*r**2 + (0 + 2 + 0)*(-1 + 1 - r**2) + 3 - 3 - 2*r**2)*(-3*r + 2*r + 2*r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -3 (b) -0.07 (c) 2\/7 (d) 53 (e) 81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 p when three letters picked without replacement from {p: 3, f: 1, s: 1, a: 1, o: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -461, -478, -521, -602, -733, -926?\n\"Answer: -2*m**3 - m**2 - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 10*q**2 - 23*q - 14. Let n be v(6). Let s(d) = -d**2 - 5*d + 40. Determine s(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.45 in 463, 4\/5, 0.06, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -243*v - 245. What are the prime factors of i(-6)?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u - 3*n = -705, -3*u - 2*n + 700 = 0. Let p = u - -168. Does 38 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*q + 32*q + 31*q - 92*q - 1068)*(-3*q + 4*q - 3*q) in the form n*q + l + b*q**2 and give n.\nAnswer: 2136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45941923 is divided by 2702466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x = 2. Calculate the common denominator of (-6)\/(-18) - 131\/(-6) and (1\/4)\/((-1)\/x).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssjjagsgjtjttjsss. What is prob of sequence tjas?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2565 is divided by 854.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -14 + (-6)\/(-12)*40. Let w be (-4)\/(-10) - 202\/(-45). Which is smaller: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35341860 and 22.\nAnswer: 388760460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, d: 3, l: 2}. Give prob of picking 1 d and 1 l.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83893685, 167787374, 251681063, 335574752, 419468441?\nAnswer: 503362130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (304\/(-24))\/(((-4)\/11)\/((-366)\/671)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - ((1 - -1) + 0). Let z be o*(-1 + 24\/3). What is the third derivative of -2*m**6 - m**2 - 7*m + z*m wrt m?\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by 53902?\nAnswer: -59\/53902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -154 - -157. Suppose -a + 2*s + 2312 = a, -p*s = 3*a - 3438. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3. Let d be 14 + n + (0 - 0). Let z be (-9)\/(-2) - 2\/(-4). What is the highest common factor of d and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1277960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-6)\/(-9)*(-69 + -7). Suppose -x - 58 = -3*q. What is the greatest common divisor of 20 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 5*w - 3*w)*(-31 + 8 - 7).\nAnswer: -120*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((60\/14)\/3)\/((-138)\/((-379638)\/131))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a7 (base 15) in base 14?\nAnswer: b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 649658.4km in centimeters?\nAnswer: 64965840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + 17.2. Let r = -15 + q. Which is the smallest value? (a) r (b) 0.4 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/18*6*(-4)\/(-16). What is the second derivative of -17*q**2 + 56*q + 14*q - 12*q**k + 30*q wrt q?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*j + 2615 = 5915 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26477109?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -20\/3*m**4 - 86\/9*m**3 + 14\/9*m - 16\/9*m**2 + 4\/9 = 0?\nAnswer: -1, -1\/2, -1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.47771 to 2 dps.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8 + 3*j - 7*j + 2 + 4*j**2 + j**3. Let f be o(-5). Calculate the highest common divisor of f and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/2544 and 89\/32.\nAnswer: 5088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 6*x - 6. Give j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 0)*(-4 + 4 - y) + ((-5 + 2 + 1)*(-4 + 2 + 1) + 3 - 97 - 12)*(665 - 48*y - 665) in the form h + o*y and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Let m = -2 + i. Is m less than or equal to -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnprndnnrpnpppdpppr. What is prob of picking 1 n, 1 r, and 1 d?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 444 + -37?\nAnswer: 40d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 11*r + 94. Calculate i(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*n + 19. Suppose 5*s = -n*l + 391, -4*s + 356 = 3*l + 62. Suppose -l = -3*w + 35. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1024 + -1027. Put 0, s, 1\/3, -0.1, -5 in ascending order.\nAnswer: -5, s, -0.1, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/1 - (1 - 1). Let q(b) = -b**2 - 8*b - 8. Let j be q(-7). Let r be -1 - (0 - j - v). Solve 5*h - 2*p = -11, 2*h + r*p = -h + 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/(11 - (-16)\/(74880\/(-51519))).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**2\/2 + 1777506*b - 526587930006 = 0.\nAnswer: 592502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -5. Suppose s*x - 6*x = -216. Let z be (-144)\/x*6000\/(-1)*-125. What is z rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22793 and 391.\nAnswer: 387481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4 = 2*w, -3*w + 2*m + 0*m = 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 384064 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2253 is divided by 57?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1519 = -675*m + 1319*m - 693*m for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1509505 is divided by 377?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2469\/15637*38\/63\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*n - 14075 - 85 = -30*n for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*q - 4*q, -2*q + t - 6 = 0. Let j be (-3)\/(22\/(-16) - q). Let i = j - -4. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*z**2 + 167*z**2 - 88*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -462394*k**2*v**2 - 21*k**2*v - 2*k**2 + 2*k*v**2 - 37*k*v - 9*v**2 - 47 wrt v?\nAnswer: -924788*k**2 + 4*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195, -468, -729, -972, -1191, -1380, -1533, -1644?\nAnswer: -1707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/c**(-7)*c))\/(c*c\/(c**(5\/6)\/c*c)))\/(c*c**(-1)*c)**36)**(-5) assuming c is positive.\nAnswer: c**(1355\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*s - 27*s = -63, -4*q = -4*s - 104 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-6))\/(1 + (-4)\/6). What is the second smallest value in 263, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -431 - -223. Let j be 4\/12 - m\/(-626). Let s = j - 1933\/51645. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15004 (base 7) to base 15.\nAnswer: -134a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 106 = 232. Let r = s - 98. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 8*z**2 + 9*z + 13. Let b(x) = -4*x - 4. Let l be b(-3). Suppose -2*m + 3*m = l. What is the remainder when q(9) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21802767 to 3 dps.\nAnswer: 0.218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.03 + 0.03. Suppose -34*m + 39*m + 3*r - 9 = 0, -2*m - 4*r + 12 = 0. What is the second biggest value in -0.4, m, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 15. What are the prime factors of r(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*h + 29732518 + 69533240 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -41. Let z(i) = -18 - 962*i**x + 3*i + 331*i**2 - 619*i**2. Let j be z(6). What is j rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -80, -74, -58, -26, 28, 110, 226?\n\"Answer: a**3 - a**2 + 2*a - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4461*d**2. Let t(v) = 60*v. What is t(u(z))?\nAnswer: 267660*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*i + y, -22 = -33*i + 30*i - 2*y. Suppose -i*o = -5*o. Determine b, given that 4\/7*b**5 - 16\/7*b**4 + 0 + o*b + 0*b**2 + 16\/7*b**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 1. Let d(o) = -o**3 + 12*o + 7. Let s(z) = -18*a(z) - 2*d(z). Suppose s(i) = 0. What is i?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56800235 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**8\/560 - j**6\/60 + j**4\/8 - 23*j**3\/3 + 9. Let l(o) be the third derivative of h(o). Factor l(k).\nAnswer: 3*(k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**3 - 21*w**2 + 9*w - 4. Is f(8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1594 - -2286. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 1231 - 351. List the prime factors of a.\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19941422, 19941387, 19941362, 19941353, 19941366, 19941407, 19941482?\n\"Answer: u**3 - u**2 - 39*u + 19941461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -10383*v. Let p(w) = 10*w**2. Calculate p(n(d)).\nAnswer: 1078066890*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2701 * -0.0001.\nAnswer: 0.2701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 5*p = 7*p - 256 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = 5*b - 27, 3*a = b - 12. Suppose 4 = g - 1. Let s = g - b. Solve 10 = -s*l + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/67, -1\/2, 5, 0.2, 143, 9.\nAnswer: -1\/2, -2\/67, 0.2, 5, 9, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l. Let g(z) = -1227*z - 122. Determine g(x(n)).\nAnswer: -3681*n - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - c - 38 = 0, 300*h - 297*h - 4*c = 37 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1602 is divided by 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11497417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-11153)\/589 - 454\/310 - (-76)\/15?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 14*l**3 + 11*l**2 + 10*l + 9. Let x(k) = -6*k**3 - 6*k**2 - 5*k - 5. What is -6*s(h) - 11*x(h)?\nAnswer: -18*h**3 - 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32288 is divided by 114?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 226? (a) -11 (b) -0.8 (c) 211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -17 + 40 - (-1 - (26 - 3))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 6, -1\/6, -0.146 in increasing order.\nAnswer: -0.3, -1\/6, -0.146, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*i, 0 = 4*m + 5*i - 32. Let o be (-79)\/12 + m\/(-12). Let f = o - -7. Which is the nearest to 1? (a) 0 (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d - 1. Let s(q) = 10*q - 5 - 2 + 11 - 1. Determine -7*g(u) - 2*s(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i + 13*i - 7*i - 2 + i**2. Let d be b(-6). Solve 3*z = h - 2*z + d, -3*z = -9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 556, 1120, 1684, 2248?\nAnswer: 2812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3546 + -2227. Let f = -928 + n. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, -104, -60 in increasing order.\nAnswer: -104, -60, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2.1. What is the nearest to 2\/9 in x, 3, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 + 30*h**2 + h + 19. What is t(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: What is the highest common factor of 196 and 35182?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1359414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 17, -0.2, -369, 14\/549?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (24\/27*(-5)\/4)\/((-61448)\/69129)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0)*(-2)\/(-4) + (-453)\/(-5889)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 233*c**3 + 32251*c + 618*c**3 - 32226*c + 17*c**3 wrt c?\nAnswer: 5208*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2736))**2 + -5.\nAnswer: 10939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170 and 1190?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (10 + -4 + -4). Let n = 1 - p. Which is smaller: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 1. Let r(i) = -4*i**2 + 133*i - 824. Let h be r(25). Which is the biggest value? (a) y (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 23*i**2 - 1. Let f be y(-2). What is the greatest common factor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3 - (-1320)\/(-402))*5\/30*1 and 49\/108?\nAnswer: 7236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, -9, 35, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**4 + 14155072*k**3 + 12522907267932*k**2 + 50091445055952*k + 37568551943088 = 0.\nAnswer: -1769382, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.153, -14, -2, -47\/5?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11534 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -36. Calculate the lowest common multiple of s and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 3*y - 6. Let a be z(-5). Suppose -5*v = -a*v - 2. Let j be (-5)\/10 + 7\/v. Solve 6*p = j*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49 + 138*w - 262*w + 152*w - w + w - w + 2*w - 2*w + w + (4 - 5 - 1)*(-4*w + w + w) + 3*w - 5*w + 0*w.\nAnswer: 30*w - 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 643635 times 0.02\nAnswer: 12872.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-4*sqrt(95))\/sqrt(5))**2 + -5.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 1, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.02107 months to years.\nAnswer: 4.9184225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -0.1, 2, -22, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/19)\/((x\/(x*x\/(x\/(x*x*x*x\/(x\/(x*x*(x\/x**(2\/5)*x)\/x))))))\/x*x)*x\/(x\/(x*x*x**(2\/9)))*x*x**(-2\/19) assuming x is positive.\nAnswer: x**(7363\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2986760 and -113\/533350?\nAnswer: 14933800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30257, 59798, 89341, 118886?\nAnswer: 148433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: What are the prime factors of 73518?\nAnswer: 2, 3, 12253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1023974\/13 or -78768?\nAnswer: -78768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 2*p**2 + p. Suppose 5*q = -25, 0 - 2 = -3*s + q. Let t be o(s). Is ((-51)\/(-6) - t)\/(3\/822) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13505 is divided by 388?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(98)*6 + -2*(sqrt(98) + 1))*-5)**2.\nAnswer: -2800*sqrt(2) + 39300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50b9d3 (base 14) to base 15.\nAnswer: -38b46d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131202 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 7*z + 12. Let y be t(-5). Suppose -5*q = -y*q - q. Suppose q = -s + 63 - 36. What is the greatest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1033531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/4))\/((i*(i\/i**(-5)*i)\/i*i)\/i)*(i**1)**(-8) assuming i is positive.\nAnswer: i**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 409195102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**5\/5 + 1476*c**4\/5 + 1472*c**3\/5.\nAnswer: 4*c**3*(c + 1)*(c + 368)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005474762 to 7 dps.\nAnswer: 0.0000547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 728, 726, 722, 716, 708?\nAnswer: 698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*-2*16\/(-12)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 13*r - 18. Let u(v) be the second derivative of -5*v - 1\/2*v**3 + 0 + 0*v**r. Let q(i) = i**2. Give q(u(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**3 + 172446*t**2 - 1552287*t - 1724730 = 0.\nAnswer: -57491, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 10105, 74, 5 in descending order.\nAnswer: 10105, 74, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 142 - 38 = 0. Let y(s) = s**3 + 3*s**2 - 4*s + 5. Let a be y(-5). Let w = r + a. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(228)\/(sqrt(48) - sqrt(12)) + sqrt(19) + sqrt(38)\/(sqrt(8)\/sqrt(4)) + (sqrt(19) - (-3 + sqrt(19) + 1 + sqrt(19))) + 0.\nAnswer: 1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 27*c**2 + 110*c + 32. Calculate a(22).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 0.8 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9183, -19068, -29175, -39510, -50079, -60888, -71943?\nAnswer: -83250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*575947\nAnswer: -518352.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + n - 5*n = 331, -5*f = -n - 580. Let r = -78 + f. Calculate the remainder when r is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4498, 17978, 40408, 71788?\n\"Answer: 4475*z**2 + 55*z - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-324)*10*513\/855?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-5 - -6 - -4) - (-2 - -10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 933 = -3*r - 9*y, 5*y - 1530 = 5*r. Let v = 1 - r. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d - 4*d)*(-211*d**3 + 26*d**4 + 211*d**3 + (-3*d**2 - 5 + 7 + d**2)*(2*d**2 - d**2 + 0*d**2)).\nAnswer: -48*d**5 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -25*z**5 - 20*z**4 + 105*z**3 + 80*z**2 - 20*z = 0.\nAnswer: -2, -1, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/960 and -151\/390930.\nAnswer: 12509760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -918653 times -6?\nAnswer: 5511918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6.005841ms?\nAnswer: 6005.841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2533)\/(-3) - (114\/18 - 6). Let w = d - 522. Round w to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -2, -4.\nAnswer: -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081098 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: Suppose b + 2*b - 51 = 0. Suppose b = 4*n + f, n + 2*f + f - 18 = 0. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.533, -102, -0.15, -3\/8.\nAnswer: -102, -0.533, -3\/8, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232969?\nAnswer: 11, 21179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 20, 141*q - 138*q + 20 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40185647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.39 and -15253.\nAnswer: -15255.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.759937km in millimeters?\nAnswer: 6759937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*l - 4, 0 = -3*i - 4*l + 25. Suppose 5*v - 908 = i*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19940 is divided by 1692.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2. Suppose 0 = -2*r - y*r + 52. What is the remainder when (-6)\/1*34\/(-4) is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 46684471\nAnswer: 1400534.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) - 132\/5. Let o = u + 39. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*o + o. Let w(q) = -q**2 - 11*q + 2. Calculate the smallest common multiple of 20 and w(o).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.659 - -2.659. What is the nearest to i in -1, -2\/7, 8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191 - (-16 + -20) - -111\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -21, 43, 137?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 676 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -9*a + 5*a. Let m = -11 + a. Let s(h) = -3 - 6*h**2 - 7*h + 3. Let y(i) = -i**2 - i. Give m*y(g) + s(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**5 + 14103*c**2 + 163*c - 11 wrt c.\nAnswer: 20*c**3 + 28206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107392929, -107392926, -107392921, -107392914, -107392905, -107392894?\nAnswer: -107392881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 472 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -9)\/7 + 99. What is the highest common factor of p and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.58 in -22, 1, -4, 5, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69.6753 * 3.\nAnswer: 209.0259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.131 + -67.869. Let l = 67 + r. Let d = -0.3 + 0.2. What is the smallest value in -3, d, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 963 - 913. What is the remainder when 293 is divided by r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 8:59 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**3\/3 - 20*c**2 = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 14*v**3 - 4*v**2 - 4*v + 4. Let b(d) be the third derivative of d**6\/8 - d**5\/20 - d**4\/8 + d**3\/2 + 614*d**2. Determine -4*b(i) + 3*h(i).\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 21*z + 343. Calculate the remainder when b(19) is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30 (b) -1 (c) 4\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -116.\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 14522 and 14783 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + (-2 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09212 - 0.01412. Put 0, -1\/2, 2, r in descending order.\nAnswer: 2, r, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10 + 0 = 0. Suppose -2*j - 15 = -j - v*u, -3 = j - u. Solve -7*f + 5*f - 8 = j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945277?\nAnswer: 23, 73, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70681.\nAnswer: 13, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 294643 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7615, 15231, 22847, 30463?\n\"Answer: 7616*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 - 11211?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 + 111100101000?\nAnswer: 111101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 48*p + 43*p - 53*p - 181 + 18*p. Let o(i) = -7*i - 4*i + 4 + 32. Let w(u) = -11*o(u) - 2*v(u). Differentiate w(g) with respect to g.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/250, 4, 1\/3, 14.5 in increasing order.\nAnswer: -9\/250, 1\/3, 4, 14.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.104625 millilitres to litres.\nAnswer: 0.008104625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5 - 1. Suppose -6*b + h*b = 3*g - 660, -146 = -b + 4*g. Let m = 263 - 245. What is the greatest common divisor of b and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34784763 divided by -2983\nAnswer: -11661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, -2\/15, -2, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 247?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**6\/6 - 2*a**5\/5 - 27*a**4\/2 - 1267*a**2 + 3082. What is the second derivative of z(o) wrt o?\nAnswer: -20*o**3 - 24*o**2 - 324*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 c when four letters picked without replacement from cnnnxnxucnuu.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 (base 7) in base 3?\nAnswer: 102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*r + 5*v, -10 = -r + 3*r - 2*v. Let m be (-1)\/3 - 2\/r. Suppose -n - 5*q = -2, -4*q + 2*q + 17 = -5*n. Put m, -4, n in ascending order.\nAnswer: -4, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 299 and 153215 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1272421\/9367 - -1791\/493. Is 139 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/5? (a) 5 (b) 27 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.04, -1, 0.7 in descending order.\nAnswer: 0.7, 0, -0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*1*-4. Let q = -67 + 70. Suppose -2*h = -s*r + 2*h + 18, 0 = 5*r + q*h - 45. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -43. Let g be -2*(-3)\/((-9)\/q). What are the prime factors of g\/6*5\/((-80)\/204)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(15\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2217512 divided by 5.\nAnswer: 2217512\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 51240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/240468 and -127\/18?\nAnswer: 721404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10.402*-0.097\nAnswer: -1.008994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 607194?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 723*q = 722*q - 2*d + 118, 5*q + 2*d - 526 = 0. Calculate the remainder when q is divided by 86.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/5))**(-15\/4))**(-14)\/((((h*h*h**0)\/h)\/(h\/((h*h*h*(h*h**(-1\/3)*h)\/h*h*h)\/h*h)))\/(h**0)**(-4\/9)) assuming h is positive.\nAnswer: h**(155\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64d4 (base 16) to base 11.\nAnswer: 18436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -115. Let g = 45.5 + n. Which is the fourth smallest value? (a) g (b) -1 (c) -10 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 7. Let b(v) = 6*v**2. Let o be b(-1). Let d be (-3)\/(-1) - 24*o\/45. What is the closest to d in a, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 27, 1\/4, 0.2 in ascending order.\nAnswer: -9, 0.2, 1\/4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 301.9085 millilitres in litres?\nAnswer: 0.3019085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m - 1. Let n(c) be the second derivative of 1\/2*c**3 - 1\/2*c**2 - 18*c + 0. Determine 6*b(g) - 5*n(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7368525077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034304 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/69482 and 113\/1120?\nAnswer: 5558560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93\/2 + -44. Suppose 2*j = 3*j + 2, -4*j = 2*v + 14. Let q = -2.3 + -0.7. Which is the closest to q? (a) v (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 417641072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + t**2 - 2*t + 3. Suppose -10 = -z + 3*p + 5, -3*p = z + 3. Calculate the smallest common multiple of o(2) and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 126\/7*(0\/(-1) - -1). Suppose 3*f - 411 - 291 = -x, -4*x + 936 = 4*f. Calculate the highest common divisor of g and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 + -14.93. Let q = -27 - s. Let d = q - -16. What is the biggest value in 0.4, d, 2\/21?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10430443 (base 5) in base 2?\nAnswer: -10110100111001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8220 or -8416?\nAnswer: -8220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 56, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12645 is divided by 4151.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3321 = -2*t + 4683, 3*d - t + 24002 = 0. Let p be (3600\/8)\/((-6)\/d). Round p to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 12:49 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -350036 + 268827545\/768. What is the common denominator of o and 37\/3936?\nAnswer: 31488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -68805103*p**2 + 11267754?\nAnswer: -137610206*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4369?\nAnswer: 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/9 and 56\/81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -204 + 204. Let u(b) = b**2 + 4*b - 6. Let p be u(t). Let w(i) = i**3 + 4*i**2 - 12*i + 5. Give w(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -34332 divided by 11444?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -1\/433, -4, -0.1, 941, 5?\nAnswer: -1\/433","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76735 and 13184.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 262785840*g + 3452819885225280.\nAnswer: 5*(g - 26278584)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 5*y**2 - 6*y - 4. Let v be n(6). Let i be (-15)\/35*v\/(-18). Let p = -0.06 - -0.46. Which is the third smallest value? (a) i (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3251618, -13006458, -29264524, -52025816, -81290334, -117058078?\n\"Answer: -3251613*v**2 - v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2626569 is divided by 262651.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -7*y**3\/6 - 249*y**2\/2 - 6*y + 2. Let c be u(-38). Solve 3 + c = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-55) + 0\/(-10).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 12:15 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4\/4 - 39550805*y**3\/4 - 104284385375985*y**2\/4 - 91656137251698211575*y\/4 + 91656345820627166805\/2.\nAnswer: -5*(y - 2)*(y + 2636721)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 10:12 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -37, 0.1, 3, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -209567, -417229, -624891?\n\"Answer: -207662*x - 1905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12886 and 396678?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 680 - 678. Solve -2*q + 5*b = -l, 3*b = q + 8*b - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2057, -2468, -2959, -3536, -4205, -4972?\n\"Answer: -l**3 - 34*l**2 - 302*l - 1720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 795 a factor of 5201631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271419 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 - 4*i**2 - 6*i + 3. Let d be k(3). Suppose 27*w - 9900 = -d*w. Calculate the remainder when w is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -354.1 - -353. What is the fourth biggest value in -0.1, -1\/4, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 3 + q**2 + 4 - 3*q**4 + 5*q**4 + 7 in the form i*q + f*q**4 + s*q**3 + h + c*q**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h = 18*h + 140. Let o be 2*26\/4 + -1. Suppose 3*l - 138 + o = 0. What is the greatest common divisor of l and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 501231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 2497*b + 14953. Give w(6).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1651 divided by 1651.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 = -36. Let q(k) = -k**3 - 8*k**2 - k - 11. Let r be q(c). Let h(z) = 0*z - 4 - 8*z + 3*z. What is h(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00530277 rounded to five dps?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (21 - (-8 - (-14 - -3)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28230, 28215, 28192, 28161, 28122?\nAnswer: 28075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 96594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -273*z - 282. List the prime factors of t(-5).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a866346 (base 11) in base 4?\nAnswer: -1020313021213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.5 and -18.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8534 + -8538. Let n(p) = -p**3 - 3*p**2 - 9. Calculate n(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 221\/477 - 1\/53. Put -0.3, d, -14 in decreasing order.\nAnswer: d, -0.3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 3:27 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, 1, -3, 18, 5 in increasing order.\nAnswer: -3, 1, 3, 5, 11, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2*7\/12)\/(19\/(-38))\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {f: 3, v: 15}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 418062 to the power of 1\/2, to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -19, -23, 5961, 0 in decreasing order.\nAnswer: 5961, 2, 0, -1, -19, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -12*u - 7. Let q = 11 - 13. Is 17 a factor of t(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 13628055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165699\/224 + 2959\/4. Find the common denominator of 81\/40 and i.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4494258.1 and -1.59.\nAnswer: -4494259.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 213*v - 2*v**2 + 8 + 233*v - 601*v to the form n*v + f*v**2 + c and give n.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/5)\/((-621)\/20700).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116 - -59. Let m = h - -61. Let r = 1 + 1. What is the third biggest value in m, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1269311, -3\/7, -110, 2\/13?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 526058543?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -300 - -189. Is (-1)\/3 + t\/(-9) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 3. Let c(z) = -z - 1. Give 7*c(l) + 4*x(l).\nAnswer: -3*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 + 6\/2 - -1 and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10573640?\nAnswer: 2, 5, 7, 11, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 819622 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-7 + ((-3397)\/301 - -11)*-196?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7961)\/(-11*(-16)\/(-528))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 30*l - 291. Let d be t(-14). What is the highest common factor of d and 585?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 6*g - 128. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let v(q) = 23 - 7058*q + 14160*q - 7076*q. What is v(p(x))?\nAnswer: 26*x + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*-46504575.\nAnswer: 2790274.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/16 and -3\/1155880.\nAnswer: 2311760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -7913967?\nAnswer: -7913967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1138*j + 555843 = 575189 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -16, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549445.1 months in decades?\nAnswer: 12912.0425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/6*18\/(-126)*-5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -1, 1, -5 in decreasing order.\nAnswer: 43, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**4\/2 - 4*i**3\/9 - 7*i**2\/3 - 4*i\/3 - 7. Factor r(t).\nAnswer: 2*(t - 2)*(t + 1)*(3*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 136971, 273931, 410891?\n\"Answer: 136960*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let w(r) = -199294*r**2. Calculate w(f(k)).\nAnswer: -199294*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 161376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225424?\nAnswer: 2, 73, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by -22.\nAnswer: 43\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95 - 174. Let s = h - -74. Let t = 0 - -0.4. Sort t, -3\/8, s in ascending order.\nAnswer: s, -3\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3565606768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 - 1289*h + 1289*h.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -427.88 plus -0.5?\nAnswer: -428.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -7\/2*d**2 + 4\/3*d**3 - 8*d + 0. Differentiate n(x) with respect to x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15815\/4 - 3953. Let r = 3\/137 - 307\/1507. Sort d, r, 3, 2 in ascending order.\nAnswer: r, d, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3725566 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11925437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -156330 divided by -162\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 679 and 388?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422*h = 428*h - 30. What is the third smallest value in 1, h, -3, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/41813, 39, 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48349 divided by 44?\nAnswer: -48349\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 10:51 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (14 - 17) + (0 - -1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 = 0, 0*w - w + 18 = 2*b. Let m be 3*(4 - w\/(-15)). Find the third derivative of -m*r**2 + 34*r**2 - 4*r**2 + 27*r**2 - 37*r**4 wrt r.\nAnswer: -888*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/12 + (-242)\/(-6). Suppose -3*c + i = 3*j, -3*c + 0*j + 2*j = -24. What is the smallest common multiple of 7 and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -35, -51, -67, -83?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - f = 13, -2 = 2*c - f + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5940 + 11053. What is the thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*v + 15 = 0, -2*b - 22*v + 19*v - 29 = 0. Put b, -4, 0, 1 in ascending order.\nAnswer: b, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5022*(11\/13 + 18\/117). Suppose -5*b + s - c = 0, 6*s - 7*s - 3010 = 3*b. What is b rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**4 + 91 - 9*n - 54 - 35 + 3*n**2 to h*n + t*n**2 + b*n**3 + x*n**4 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*p - 5*w + 26, -w = 3. Let v(m) = -m**2 - 8*m - 5. Let s be v(p). Suppose s*d = -3*g - 0*d - 1612, -d = -4. Round g to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*o + 290, -22*h - 97 = -23*h + 2*o. Which is greater: 96 or h?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/7, 5, 9, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29873555351 rounded to two decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 25. Let h be (-47503)\/(-4) + 3 + a\/(-24). Let x = 427495\/36 - h. What is the common denominator of 67\/16 and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000210278863 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*m + 35772 = 342*m + 358*m for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1698 and 127\/3342?\nAnswer: 945786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.423?\nAnswer: 0.2115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -167*b**3*m**2 + 8*b**3*m - 3211*b - 2*m**2 wrt b?\nAnswer: -1002*b*m**2 + 48*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/19 or -0.116505?\nAnswer: -0.116505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6)\/(33\/(-22374)). Let z be ((h\/18)\/(-2))\/(5\/15). Is 39 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53236 (base 8) to base 14.\nAnswer: -811c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5864740 greater than 5864740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -225.1 - -215.21. Let k = 0.11 - q. Let i = -6 + k. What is the biggest value in 0.4, 1\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 12471.\nAnswer: 62355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -346 - -147. Let h = 395 + n. Suppose -j - 2*j = -3*x - 132, -h = -5*j - x. What is the remainder when j is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*v = 1297, 4*q - 2*v - v + 5149 = 0. Let c = 41063\/32 + q. Find the common denominator of c and -17\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 22*n + 110. Let v be t(-15). Let z be v\/3 + (-6 - (-76)\/12). Let q(g) = g**2 + 5*g + 2. Let o be q(-5). Solve 0 = z*p - o - 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2728899\/1209 - 2\/13 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 41110*v + 15410109\/2.\nAnswer: -(v - 82407)*(v + 187)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.94 - -1. Let o = -7.84 - -8. Let a = o - u. Which is greater: a or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -15. Let c(x) = x**2 + 7*x + 6. Let d be c(u). Let p = d + 12. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-3 - 1 - -5)) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 3. Let g be s(-4). Suppose g*w - 4 = 11. Suppose -w*d - 2*d + 85 = 0. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*d - 1563 + 12465 = 0 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12188*m - 36528*m + 12170*m + 12176*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*u = -3*a - 10, a = 2*u - 5. Suppose -s - 3*o = 13, a*s + 0*s = 4*o + 30. Let z = 5 + s. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Let z(a) = 24*a + 5*a + 8*a. Is z(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p - 2. Let h(f) = 7*f + 5. Give 2*h(j) + 5*q(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*a - 45*a - 11*a**3)*(-6712 - 462*a + 6712).\nAnswer: 5082*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, c: 7, v: 2, h: 2, g: 1}. What is prob of picking 1 v, 2 h, and 1 a?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-8)*(-4)\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t + 1. Let r(v) = v - 1 + 3*v - v + 2. Give -4*l(g) + 3*r(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-16) - 611\/(-4). What is the remainder when 23 is divided by v\/20 - (-2)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294 a factor of 317684371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(396)*-1 - sqrt(396)))*4)**2 + 5.\nAnswer: -1536*sqrt(11) + 25605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 + 3*o + 1. Let m(c) = -c**2 + 31*c + 89. Let j be m(33). Let q be (-3)\/(-3)*(-92)\/j. Let w(r) = -2*r**2 + 3*r + 1. Give q*w(x) + 3*l(x).\nAnswer: 2*x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1686311 (base 11) to base 6.\nAnswer: -141212140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -10530369?\nAnswer: -63182214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -37. Let z = n + -41. Solve z*s + 0 = -4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*q - 5*k + 75, -6*q - 229852 = -3*q - 4*k - 229817 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, c: 6, l: 1}. Give prob of sequence chhc.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34.84 in 1\/4, -0.1, -2, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 837*g**3 - 1083*g**2 - 12*g + 10. Let l(i) = -838*i**3 + 1082*i**2 + 9*i - 8. Let a(x) = -4*l(x) - 3*y(x). Find the third derivative of a(n) wrt n.\nAnswer: 5046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.98459 years in millennia?\nAnswer: 0.02898459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 230 + -314. Find the common denominator of 4\/g*476\/(-24) and -25\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.1. Let q = -0.03 - -0.23. What is the closest to 1 in d, 1\/3, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*y = -20, 3*y + 3 - 19 = -4*r. Solve -7 = -3*h - r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10752 and 140.\nAnswer: 53760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.29 (b) 1\/5 (c) -944\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 0*h + 2\/3*h**3 + 0 - 1\/60*h**6 - 1\/15*h**5 - h**2 + 1\/12*h**4. Determine k so that s(k) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 164*j + 1152.\nAnswer: 4*(j - 32)*(j - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2322*d. Let u(j) = -2*j. Determine x(u(a)).\nAnswer: -4644*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-3\/8))\/(o\/(o\/(o*o**(-3\/2)))))**(-3\/16) assuming o is positive.\nAnswer: o**(-45\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 60840 and 66.\nAnswer: 4015440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8560)\/50 - 9 - (1\/5)\/(-1). Put h, 1, 0 in increasing order.\nAnswer: h, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165784237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/432 and -101\/27440?\nAnswer: 740880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxfxfffxffx. Give prob of sequence ffx.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g - g**4 - 1 + 1 - 2*g**4 + (1 - 1 + 1)*(0*g**2 + 0*g**2 - g**4) - 22*g**4 - 17*g**4 + 29*g**4.\nAnswer: -14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1223 + 1220 + 266 - 345 + 2*v as x*v + g and give g.\nAnswer: 2364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-196)\/(-539) - (-61276230)\/110 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8705 + 4349 + 121451*t + 4356.\nAnswer: 121451*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from kfjhjjkqfqhkkj.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 259 + -107. What is the remainder when b is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222932 is divided by 10588.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 639\/26 or 25?\nAnswer: 639\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g - 341 = -265. Let i(y) = 3*y + 1. Let w be i(-2). Let f = 16.9 + -17. What is the smallest value in g, w, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2\/4 + 13*x\/4 - 3 = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86.8 + 79. Let w = p - 2.2. Let d = 11.7 + w. What is d rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 12 = -1473*p + 1476*p, 2*o + 4 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (87 - (-44 + 44))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1419149 litres in millilitres?\nAnswer: 141.9149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 77. Let m(p) = -10*p**2 + 1123*p. Give q(m(a)).\nAnswer: 20*a**2 - 2246*a + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -k - i + 105, 693 + 337 = 12*k + 4*i - 6*i for k.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -921, -2064, -3663, -5718, -8229?\nAnswer: -11196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - -6. What is the remainder when z is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1671 - -3069. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j = -5*z + 2600, -5*j - 2085 = -4*z. List the prime factors of z.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*d - 10, 7*n - 6*n + 5 = -3*d. Suppose 4*b = n*q + 352, -5*b = -q + 5*q - 476. Is 23 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644006 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/7 and -46\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*-9*(-6)\/9\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14634\/(-45)*20\/(-8) is divided by 398.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v**3 - 10*v**3 + 40*v**3)*(4 + 29*v - 2 - 35*v).\nAnswer: -120*v**4 + 40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -38*s + 2. Let n be z(-2). Suppose 0 = -57*l + 62*l - 205. Suppose 2*q = 2*y - y + n, -q + l = -y. Solve q = -5*g + 4*m, 3*m = 4*g + g + 34 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -131 and -83566.0064.\nAnswer: -83697.0064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 9*k**2 + 9*k + 10. Suppose -3*f + 5 = 29. Let m be i(f). Suppose -360 = -2*p - m*q - q, 0 = -4*q. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 297, 3, 8 in increasing order.\nAnswer: 3, 8, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3295 + -1455. What are the prime factors of x?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 15 = 0, 15 = -3*f + 6*l - 5*l. Let n(o) = -111*o**3 - 2*o**2 + 9*o - 3. Is n(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = d, -3*o = 2*o + 2*d - 1315. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -59*c - 1026. Is 27 a factor of a(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 176 = -94. Calculate the remainder when 132 is divided by z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*s + 44*t - 40*t, -10 = -s + 2*t. Is s bigger than 1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.2 - -2542914950.\nAnswer: 2542914956.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*d - 28*d = -26*d - 49110204. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(17\/(-5) - -3). Let d = 0.95 + -1.05. What is the closest to d in v, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -1\/3 (c) -0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) -14 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1971*j + 61112. Calculate u(31).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.282361l in millilitres?\nAnswer: 1282.361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 11*u + 4. Let x be a(9). Let k be x\/(-63) - (-16)\/9. Suppose 0*d - k = -2*d. Calculate the remainder when 2 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*v = 196*v - 4*b + 12, -5*v - 3*b = -37 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -5*v - 56, 4*v + 2388*b = 2391*b - 36 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6438.708um in millimeters?\nAnswer: 6.438708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 4*r + 2*h - 0*h, -2*h - 8 = 0. What is the greatest common divisor of 192 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 8:58 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -4) + 2 + -20 + 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 8*b**2 + 3*b - 15. Let z be o(13). Let s be 2\/(-2) - 3530\/z. Let g = 20437\/5640 + s. Find the common denominator of 38\/9 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*c + l - 9657, c - 9645 = 5*l. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285550796 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4295 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 680072.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 6 + 3*g + 0*g - 8*g**2 + g**3. Let f = 37 + -58. Let t = f - -27. Let h(j) = j**2 - j + 1. Calculate t*h(p) + l(p).\nAnswer: p**3 - 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 4*t**4 + 3 - 15*t**3 - 2*t + 14*t**3 to the form p*t**4 + k*t**2 + y + a*t**3 + d*t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 29*i**2 + 9*i + 2. Let j(h) = -117*h**2 - 37*h - 9. Let m(d) = 2*j(d) + 9*u(d). Find the second derivative of m(a) wrt a.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 times 11\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*81\/72.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by -12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -963 - 761 = 355*h - 304. Suppose -5*y - d = 1, 4*d = 3*y - 1 - 3. Sort 3, 40, h, y in decreasing order.\nAnswer: 40, 3, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 7*w + 8*w - 3*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5224 and -17.7.\nAnswer: -92464.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33047196991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 14. Let q be -4 - b*60\/56. What is the closest to q in 0.05, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/((-15)\/36*6\/15). Suppose 5*h = -0*h - 1500. Let a = m - h. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2000 - 2004. Let o be 3*(1 + 39\/(-45)). Which is the third biggest value? (a) f (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 194 = w - i, 5*w - 940 = 5*i. Suppose 7*l - w - 518 = 0. Calculate the remainder when l is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -23*t**2 + 4*t + 17. Let s be u(-1). Let c = 69 - s. Calculate the greatest common divisor of 19 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 7 = 10*p. Which is smaller: p or 5\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*v = 24, -u + 12 = -2*v + 6. Suppose -11 = -2*a - 5*h, u*a - 20 = 4*a - 2*h. Is a greater than 105\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/7 + 23*c\/7 + 108\/7.\nAnswer: -(c - 27)*(c + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 + -101. Suppose 3*y + z*b = 3*b + 234, -4*y + 293 = -b. Does 46 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/6)\/(1\/6). Let u be 15\/264 + (-4)\/22. What is the biggest value in u, t, -3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3431 (base 12) to base 16\nAnswer: 16a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 2*c + 28, -2*s + 4*c - 6 = -0*s. Let g = s + -4. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445275403 to the power of 1\/3, to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14.3, -0.7, 0.3, -13, -1\/7 in descending order.\nAnswer: 0.3, -1\/7, -0.7, -13, -14.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 237323 a multiple of 748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6263*h**2 - 2*h - h - 5248*h**2 + 3*h as l*h**2 + c + q*h and give l.\nAnswer: 1015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 2:43 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m - 16*m - 20*m + 51*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 1680*y. Let k(r) = 23*r. What is -147*k(u) + 2*x(u)?\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.9 and 32965?\nAnswer: -128563.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 2:45 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (51\/(-4))\/((-413)\/(-84) + -5) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1140 and 6228504.\nAnswer: 31142520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6185.225 centuries?\nAnswer: 618.5225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -18*o + 42*o - 25*o + 1. Let q(w) = 2*w - 2. Let z(b) = b**3 - 10*b**2 + 22*b - 43. Let j be z(8). Calculate j*t(c) + 4*q(c).\nAnswer: 3*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9491.411 nanoseconds?\nAnswer: 0.000009491411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 9*b**2 + 12*b - 3. Let n be a(10). Suppose 5*m = -7 + n. Let k be (-3)\/18*-5*6\/1. Solve -k*v = 4*o + 5, o = -v - m + 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3349\/22 - 152. Find the common denominator of -69\/10 and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.99 - -8. Suppose 0 = -5*q - 5*o - 5, 3*q = -0*q - 4*o. What is the second smallest value in r, q, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 11:53 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j + 11. Let p be f(-3). Solve -b = 0, 0 = q + 5*b + 1 + p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 - -12)*(12\/10)\/(15\/(-50)). Suppose -y + 0*m = m + 3, -2*m - 6 = 3*y. Solve y = d - o*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37554241 is divided by 8033.\nAnswer: 7999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155 (base 8) to base 6.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.27989 - 0.17989. Which is the closest to -4\/11? (a) q (b) 5 (c) -2 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17861*i**2 - 12*i**3 + 0 - 35438*i**2 + 0 + 45*i**3 + 17577*i**2.\nAnswer: 33*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 equal to 174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79768 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15964241*b**4 + 3591784?\nAnswer: 63856964*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9717 by -79.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 11:15 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2 - 37*r + 3. Let t(s) = -7*s**2 - 74*s + 5. Determine 6*t(g) - 11*u(g).\nAnswer: 2*g**2 - 37*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x. Let r = 2520\/13 - 194. Is x equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 4*x**2 - 3*x**3 - 6 + 13 to the form u*x**3 + j*x**2 + m + g*x and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r + 54. Give i(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 738860 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 25 + 4 - (-15 + (17 - 0)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2841129301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1333*u - 2634*u + 1614*u to w + t*u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**7\/2520 + o**4\/12 + 7*o**2. Let u(g) be the second derivative of f(g). Let v(h) = 2*h + h - 7*h - 9*h. What is v(u(b))?\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.05, -1\/3, -11?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*((k*k**5)\/k*k*k)\/k*k)\/k))\/k**(-2\/21))\/(k\/(k\/((k*(k**(4\/7)\/k)\/k)\/k))*k**(-13)\/k))**(-5\/4) assuming k is positive.\nAnswer: k**(-250\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 - 3309*o**2 + 3309*o**2 - o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1721 - 1714. Calculate the lowest common multiple of 1007 and j.\nAnswer: 7049","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + 0 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*c - 3. Let u be ((-2)\/c)\/((-2)\/(-6)). Suppose -z + 4 = -3*h + 2, -3*z + 4*h + 6 = 0. Is u <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2418034237 to the nearest integer?\nAnswer: 49174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -290052899*n**2 + 341920071 wrt n.\nAnswer: -580105798*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-5) - 1*2. Let c be (-3)\/(108\/264783) + y. Let w = c - -7354. Find the common denominator of 75\/2 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**4\/4 - s**3\/6 - s - 2. Let q(w) be the first derivative of b(w). Let v be q(-1). Solve 0 = v*g - 0 - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00067786 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 4, 48, 122, 232, 384, 584?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/3 - 22598324*j\/3 - 30131120.\nAnswer: 4*(j - 5649585)*(j + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 + 5*p**4 + 0*p**4 + (4*p + p - 3*p)*(-2*p**3 + p**3 + 3*p**3) - 20*p**4 + 29 - 29 as d*p + a*p**4 + b*p**2 + l*p**3 + i and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**5\/40 - 5*i**4\/12 + 25*i**3\/12 + 104*i + 139. Let x(v) be the first derivative of r(v). Factor x(f).\nAnswer: f*(f - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 + -53 + (-3)\/(-1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 205065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7652.\nAnswer: 2, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/104*(-84)\/(-5)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 1. Let v(r) = 2*r**2 - 1. Let f(h) = -7*h**2 + 1. Let k be f(-1). Let s(a) = k*t(a) + 5*v(a). Differentiate s(y) with respect to y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 239558 - -1?\nAnswer: 239559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44 or 2880\/67?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79339*y - 176944*y - 127905*y.\nAnswer: -225510*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-684)\/304)\/((-231)\/(-14))*-418.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14723233615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 585731663 to the power of 1\/3, to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*d**2 + 34*d**2 - 2 + 5*d**4 - 15*d**2 + 4*d + (4 - 4 + d**2)*(2*d**2 - 3 + 3) as u + x*d**4 + h*d**2 + k*d**3 + q*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, o: 1, m: 3}. Give prob of picking 3 m and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5799822 and 12138.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20ec (base 15) in base 16?\nAnswer: 1b3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37176537 to the power of 1\/3, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -248365\/674 - -737\/2. What is the nearest to -1 in 1\/4, -1, 0.2, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-2 - 0)\/(-2)). Let q = 174 + -294. Is -1 + 2 - q\/a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136348 divided by 1532?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-95)\/4)\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/(-32))\/(-17) - (-42)\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, m: 2, d: 2, i: 2, u: 6, o: 3}. Give prob of picking 1 d, 1 q, and 2 o.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1 = -3. Let b be -2 - (p - 2)*2. Suppose 3*y - 396 = -b*y. What is the greatest common divisor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 x when three letters picked without replacement from xxxxuxuxxuuxu?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22204 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + (-10)\/6)\/(1250\/3750). Which is the nearest to 73? (a) 4 (b) 0.1 (c) 2\/3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/4 - (-3)\/6. Let z(c) = -2*c + 6 - 2 + 0*c. What is the units digit of z(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/2*1\/(-3). Suppose 16 = a - d*a - s, s = a + 9. What is the nearest to -4 in 3\/5, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 0*k + 5*k)*(-5*k - k + 4*k) + 1250*k**2 + 23*k**2 + 778*k**2.\nAnswer: 2049*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119 + 163 - 44 + 27445*z to r*z + i and give r.\nAnswer: 27445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12.6 (b) 0.22 (c) -252 (d) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.35587 - -0.1327. Round u to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-14) - 484\/(-77). Let u(m) be the third derivative of -1\/60*m**g + 0*m**5 + 0*m**3 + 0*m**4 - 6*m**2 + 0*m + 0. Solve u(c) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-316)\/24 - ((-101)\/66 - -1)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*v = -82*v + 599. Suppose -3*p - v = -32. Let n be (-45)\/p - 8\/14. Which is the closest to n? (a) -4 (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 55 - 4. Let i = 17 - o. Solve i = -n - n + 3*u - 7, -n + 4*u - 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 8*x. Let y be i(7). Let v = -174 + 176. Let u be 1 + (v + -5)*-2. What is the highest common factor of y and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 4*o + 3 = 0, -2*z = -44*o + 41*o + 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) -2\/133 (c) -7 (d) -2 (e) 0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 1\/(2 + 0 + -1)*29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6)*(-36)\/(-8). Suppose v*y = -2*y + 3*l + 25, 0 = 4*y + 4*l + 12. Suppose 5*n - 4*n = -y. Are n and -2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**6\/720 - v**5\/40 - v**4\/12 + 2*v. Let y(j) be the third derivative of c(j). Let a be y(4). Are 5 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*j - 214 = 96 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.02, 2, -13?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12920, -12929, -12948, -12983, -13040?\nAnswer: -13125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (596\/(-42) + (-2)\/14)*-3. Factor c*x + 3*x**2 + 6075 + 198*x + 4*x + 0*x**2 + 25*x.\nAnswer: 3*(x + 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1912070 is divided by 70817?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 246859186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**4\/2 + 2*g**3\/3 - 2*g**2 - 2*g. Suppose 5*y - 20*y - 60 = 0. Let p(j) = 5*j**2 - 3*j + 3. What is y*p(a) - 3*c(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.017 - -0.017. Let i be 204\/306 - 25\/24. What is the third smallest value in i, g, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -11, -5, 8\/3.\nAnswer: -11, -5, -1\/5, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101101 - -10000010100?\nAnswer: 111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*q - 13*q - 31*q + (3 - 4 + 2)*(-q + 4*q - 5*q))*(-22*q + 3*q**3 + 18*q - 8*q**3).\nAnswer: 165*q**4 + 132*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*m - 20 = m, 4*o + 3*m = -8. Let u(c) = 18*c**2 + 2*c - 2. Calculate the remainder when u(o) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 19 - 12 + 18 + 85*r. Let f(o) = -7*o - 2. Let q be (-11*2\/(-22))\/((-2)\/50). What is q*f(s) - 2*d(s)?\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 106993824 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/21 - 82\/(-7). Solve 4*k + 5*l = -18, l - z = 2*k + 5*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.84 + -2.1. Let y = a - 0.739472. Round y to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 263*x - 71726. Determine j(-430).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d - 45. Let u be f(-8). Suppose 28 + 10 = u*h. Solve -q = h*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5*y + 30, -l + 15 = l - 5*y. Let h(p) = p**3 - 7*p**2 + 10*p + 10. Let w be h(l). Is 928\/10 - ((-12)\/w + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 11*n + 12. Let f be b(-8). Let l be f\/104*-2948 - 2. Let y = 338 - l. What is the smallest value in -3\/4, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28a + 3?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -2393.16 and 0.083.\nAnswer: -2393.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3936 is divided by 1300.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13363055.5396 plus -0.4?\nAnswer: 13363055.1396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 + 65215*f + 1694268. What is x(-26)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 19 - 10 - 10 - u. Let r(l) be the third derivative of l**3\/6 + 2*l**2. Determine c(q) + 2*r(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7523481079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-20 - -2) - -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 32*y**2 - 9*y - 6. Is w(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4856 + 4856.0009277. What is n rounded to five decimal places?\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2139827734 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109593, 438354, 986281, 1753374?\nAnswer: 2739633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f + 94 = 8*s, 11*f - 4*f = 2*s + 2*f - 0*f - 41 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 3)*(138 - 32 + 73)*(-4 - 1 + 3)*(0*l + l + 3*l) in the form d*l + a and give d.\nAnswer: -2864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 20*b - 1. Let p(y) = 39*y - 2. Give -6*p(n) + 11*q(n).\nAnswer: -14*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 635 divided by 4018?\nAnswer: 635\/4018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425312075?\nAnswer: 5, 3251, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 6. What is the third derivative of 9*f**2 + f**2 - 26*f**5 + 18*f**m wrt f?\nAnswer: -480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/3268 and 63\/5375.\nAnswer: 408500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-15)*(-3)\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32801881 and 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/72 - (-21)\/(-56). What is the fourth biggest value in 1\/5, 5, 1\/13, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 10) in base 3?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from yojoyyyyoodyoy?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100293132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 31 + 146 - 38 + 3 - 17*q**2 to i*q + t + g*q**2 and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 37. Let m be (4\/o)\/(6\/(-45)). Let t be (20\/125)\/((-6)\/m). What is the second biggest value in 2\/9, t, 2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**3 + c**2 + 6*c + 3. Let w(t) be the second derivative of t**5\/20 + t**3\/6 + t**2\/2 + 8586*t. Give -b(j) + 3*w(j).\nAnswer: -j**3 - j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/11248 and -97\/342.\nAnswer: 101232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 19665048*g**2 + 32226254730240*g - 257808779280384.\nAnswer: 3*(g - 3277504)**2*(g - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**5 + 0*w**5 + w**5)*(0 - 3 - 12 + (-2 + 1 - 2)*(1 + 1 - 1)).\nAnswer: 54*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 248.1 rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*w + v = -145*w + 1, -w = 4*v - 25 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 25*q - 250. Let x be n(10). Calculate the common denominator of 97\/88 and -8 - (-9 + x) - (-5)\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 331*u + 6910. Determine l(141).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 - 112. Let w = -36 - j. Let n be 3\/2*2*4\/3. What is the nearest to -1\/4 in n, w, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34aa9 (base 12) to base 9\nAnswer: -116863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21513 or 1419853\/66?\nAnswer: 21513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -4)*(1 + (-18)\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z = 35*z + 140 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 1635?\nAnswer: -1634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.956 - -10.026. Which is the biggest value? (a) 3\/5 (b) j (c) -434\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1706172109.\nAnswer: 29, 293, 200797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200 by -1543510.\nAnswer: 20\/154351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 8?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/2? (a) -0.2 (b) -0.3 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101201201 - -12202020?\nAnswer: 121110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/4 + 151766085*k\/2 + 7677648185409075\/4.\nAnswer: 3*(k + 50588695)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**3 - 2*f + 1. Let y be w(1). Let u = -1 - -0.5. Let l = 126 + -125. What is the closest to l in -5\/3, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.25. Let i = -23.65 + 23.8. Let z = i - t. Which is the smallest value? (a) 2\/7 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + c - 56 = -0*f, 5*c = -2*f + 56. Calculate the remainder when 109 is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-99))\/(4\/6)*684\/2394.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 172303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -1376.\nAnswer: 13.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 2:42 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, 2, -1265 in descending order.\nAnswer: 2, -5\/4, -1265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -35*v + 3. Let f = -6 - -1. Let b be g(f). Let w = 287 - b. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*c**2 - 24*c**2 + 4*c**2 + (4*c - 3*c - 2*c)*(-2*c - c + 2*c) - 4*c**2 + c**2 + c**2 as w*c + d + t*c**2 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z - 5*z - 2*z**2 - 3*z**2 - z**2 + 3*z**2 + (2*z - z + z)*(z + 0 + 0) + (22*z - 3*z + 27*z)*(z + 4*z - 4*z).\nAnswer: 45*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/8 - 82251*v**2\/8 + 82257*v\/4.\nAnswer: -3*v*(v - 2)*(v + 27419)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**5\/10 - v**4\/6 + v**3\/3 + v**2 + 3*v. Find p, given that j(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:05 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 8 + r**3 + 3*r**3 + 6.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 - 2*c**4 + 0*c**3)*(-c + 4*c - 4*c) + 5 - 5 + 15*c**5.\nAnswer: 17*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 384?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**6\/120 - 3*q**5\/20 + q**4\/24 - 2*q**3\/3 - 5*q**2. Let j be i(9). Calculate the greatest common factor of j and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssesssseess. What is prob of sequence eees?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5960628828?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000271791 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0575 - 232.9425. Let j = 3381416.19907 + -3381183.2. Let v = s + j. What is v rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-2116)\/(-161) + (-2)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.074 times -0.5?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x - 154. Calculate q(-20).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3. Let r(q) = 15*q**3 - 7*q**2 - 7*q**2 + 6*q**2. Let s(z) = -r(z) + 6*y(z). What is the third derivative of s(b) wrt b?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 28 + 256 = 0. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198276 is divided by 2243.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 248 = -3*g, v - g - 159 = -90. Solve -30 = 60*b - v*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -631190 + 631197.00006. Let r = -7 + m. What is r rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 129, 113, 85, 45, -7?\n\"Answer: -6*a**2 + 2*a + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 23*l + 3473 = 22*l, 4*l + 12 = 0. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 1909*b - 36621. Calculate k(19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 6*j - 4. What is b(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 2:09 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 1, v: 1, x: 1, m: 3}. Give prob of sequence vr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29727 divided by 3?\nAnswer: 9909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13544 is divided by 1354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqkq when four letters picked without replacement from {q: 7, k: 5}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 540 and 600.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 4, k: 5, e: 1, u: 2}. Give prob of sequence mek.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156.3 - 156. What is the fourth biggest value in -2\/11, z, 2\/17, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*v + 10*v - 5*t + 280, 3*v - 180 = t. Solve 38 = v*q - 78*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 108. Is i a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245, -1000, -2257, -4016?\nAnswer: -6277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 0*p - 5. Suppose -10*x = -p*x - 20. Suppose x*a - 11 = 3*b - a, -b = a - 7. Solve 0 = -b*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -64 (b) -2 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049395 is divided by 273?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 488928 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150673*m**4 - 59175*m**2 wrt m?\nAnswer: -3616152*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, q: 1, a: 7, r: 3}. What is prob of sequence xa?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 + r**2 + 6*r + 1. Let t be g(-2). Suppose 5*i - t = 5*c, 5*c + 9 = i + 4. Solve -3 = -o - c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 13. Give g(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -1059607903648.\nAnswer: -1059607903648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f + 34. Let j = 34 + -43. Calculate the remainder when 34 is divided by g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 1:59 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621.122 millennia in years?\nAnswer: 1621122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -5*r + 2*r. Calculate the smallest common multiple of 32 and r.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -15, 6*n = 11*n + 5*a - 220. Suppose 0 = 51*z - n*z - 280. What is the greatest common factor of 112 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 124*f**2*n**2 + 3*f**2*n + 257*f**2 - 63*n**2 - 2*n - 2 wrt n?\nAnswer: 248*f**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 + 43*f**2 + 189*f + 355. Determine a(25).\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 35*u + 5. Let p(d) be the first derivative of -9*d**2 - 3*d + 1099. What is -3*m(l) - 5*p(l)?\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 6*z**2 + 2*z + 5. Let k be l(6). Let v = 64 + -13. Calculate the greatest common divisor of v and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.662682 rounded to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10132113122 (base 4) in base 6?\nAnswer: 41050202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.83 - 3.83. Let v be 1 - (-5)\/45*-8. Sort 5, f, v in ascending order.\nAnswer: v, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -63 + 107*q + 123 - 61 as d + h*q and give h.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -1\/19, 38, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 u when four letters picked without replacement from {s: 1, h: 5, n: 4, u: 5}.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -14 + 10. Find the first derivative of 58*d**3 - 77 - 8*d**3 + 22*d**3 + d**f wrt d.\nAnswer: 216*d**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -740?\nAnswer: -740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5146, 4851, 4366, 3697, 2850?\nAnswer: 1831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -89*b**2 + b. Let n(x) = -271*x**2 + 5*x - 2. What is 2*n(d) - 7*y(d)?\nAnswer: 81*d**2 + 3*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*q + 19, 5*k = -q + 5*q - 29. Suppose -4*v = -2 - q. Solve 0 = 3*l + v + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6808307905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, -19, 1, 0 in increasing order.\nAnswer: -83, -19, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 take away 3.21995?\nAnswer: -2.61995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 + 2?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94 + -94)\/(1 + 3\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + f + 2. Let m = 12 + 0. What is l in 2*l**2 + m*l**3 + 15*l**2 + 4*l**4 - l**4 - f*l**2 + 6*l = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from {i: 2, k: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q + 4*q - 2 - 2*q + (6 - 3 + 0)*(-311 + 308 - 6*q - 28*q) in the form k + x*q and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 8:31 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3395, -4403, -6079, -8423, -11435, -15115, -19463?\n\"Answer: -334*j**2 - 6*j - 3055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1393890 and 6\/2425.\nAnswer: 6969450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 9.25. Let j = -2.2 - q. Let z = -3 - j. Which is the nearest to -1? (a) -4 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, f: 1, u: 2, d: 1}. Give prob of picking 1 r and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14*2\/(-4). Let u = 3 + -2. Let v be 5 + -10 - 57\/(-9). What is the closest to -1 in m, u, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1258 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/9 + (102\/(-18) - -6). Let i(q) = q**3 - 2*q**2 - 3*q - 3. Determine i(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 909660, 909663, 909666, 909669?\n\"Answer: 3*q + 909657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 128 - -110c7?\nAnswer: 11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 157912.152 rounded to the nearest one hundred?\nAnswer: 157900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4 + (3*(-1 + -1 + sqrt(125)) - (sqrt(125) + 0 + sqrt(125) + -3 - (1 + sqrt(125) + 5))))**2.\nAnswer: -40*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l - 15 = 0. Suppose 18 = -2*s - 4*p, s - 2*s - 9 = -5*p. List the prime factors of 2 - (-15)\/(s\/l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*p*x - 3161*c**2 - 2341*c*x**2 - 5*p*x - p - 2 with respect to x.\nAnswer: c**2*p - 4682*c*x - 5*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2449 + -2446. What is the nearest to 5 in 11, a, 2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 16*i - 21*i + 110 = 0, 4*v = -2*i + 440. Let j be 1\/4 - (-14)\/8. Suppose 20 = 2*u - j. Calculate the greatest common factor of u and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -207.24 and -0.3.\nAnswer: 62.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, l: 2, t: 5, o: 1, f: 2, p: 2}. What is prob of picking 1 m and 1 p?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**6\/300 + 13*u**5\/50 + 81*u**4\/20 + 73*u**3\/3 + 205*u**2\/4 - 4690*u. Factor k(a).\nAnswer: (a + 1)*(a + 5)**2*(a + 41)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkv when three letters picked without replacement from tgkggvvggrvvggkr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*g - 3*g + i, -5*g + 91 = -2*i. Suppose 41*j - 10802 = g*j. List the prime factors of j.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 minus 1040259087?\nAnswer: -1040259192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*w + 20391 = 6*h, -20393 = -h - 4*w. What are the prime factors of h\/81 + (-2 - (-7)\/3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4439551 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(1 + 2) + 0. Let p(t) = t**3 + 1 + 3*t**2 + 0*t**3 + q*t**2. Let w be p(-3). Is -2\/5 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*-2*(sqrt(22)\/(sqrt(2112)\/sqrt(3) - sqrt(11) - sqrt(11)) + (-3*((-2 + sqrt(288) - sqrt(288)) + sqrt(288)))**2).\nAnswer: -10508 + 5182*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y + 0*y + 21*y - 9*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k = -4*h - 229, 47*k - 21*k - 24*k - 3*h - 45 = 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i**2. Let q(p) be the third derivative of 5*p**4\/8 + 17*p**2. Let h(n) = n. Let a(v) = 20*h(v) - q(v). Calculate a(s(c)).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 7*y + 8. Let z be x(6). Suppose c + 3*g = 5*g + 1985, z = -g. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -2, 5.\nAnswer: -53, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2434132 - 14?\nAnswer: 2434114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**4 + 5*z**4 + 3*z**5)*(4 - 4 - 1 + (-6 - 2 + 2)*(35 - 30 + 90)).\nAnswer: -1713*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 4\/11, -4, 0, 61.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, -616, -1\/6, 2.2?\nAnswer: -616","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 658160 and 5434.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*t + 35 = 3*q - 32*t, 0 = -2*t + 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -22*2\/(-2)*4\/32. Is 3 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 8:26 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 9554056135152.\nAnswer: 9554056135152.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4399520 and 34\/155.\nAnswer: 4399520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4005172502 to the nearest 1000000.\nAnswer: -4005000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 5:29 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(0 - 5 + 3)*(-2*v**3 - v**2 + v**2)*((-3*v + 3*v - 2*v)*(-2 + 2 - 2) - 2970 + 2970 + 98*v).\nAnswer: 408*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + j**2 - 2*j - 2. Let y be q(-1). Suppose y*m - 1071 = -363. Let u = m - 196. Calculate the remainder when u is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 523.871 rounded to the nearest 10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6960 - 273 + 295 = 3469*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**0)\/h)**23\/(h**0\/h**(-1\/8)) assuming h is positive.\nAnswer: h**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/86502 and -20\/4303?\nAnswer: 28632162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1018, -1025, -1030, -1033, -1034?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l - 7*l + l**3 + (-2*l**2 - 2*l**2 + 5*l**2)*(0 + 0 - 2*l) - 2*l**2 + 5 + 15*l**3 - 2 + 4*l**3.\nAnswer: 18*l**3 - 2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 196263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x = 29*x + 63 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) -2066 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1533 and -91?\nAnswer: 139503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-15)\/35 + 23412\/42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**7\/63 - 2*w**6\/45 + w**5\/30 - 20*w. Factor u(z).\nAnswer: 2*z**3*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2\/5 + 368*r\/5 + 84322\/5 = 0.\nAnswer: -133, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**3 + 10 - 4*p**3 + 8*p**3 + 2*p**2 in the form w + r*p + q*p**3 + m*p**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/((-28)\/(-12)) + 14 + -1. What is the highest common factor of z and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 44 - 4*w**2 + 15*w**2 - 9*w**2 - w**2 in the form j + g*w**2 + i*w and give j.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, b: 2}. What is prob of sequence cccb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 3. Let g = i - 14. What is the smallest value in 1\/2, 1\/4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20\/7 - 67\/21. Which is the nearest to t? (a) 6\/11 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19\/(19\/(-6))*(-2)\/6. Sort -1, -125, v.\nAnswer: -125, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1863*t**3 + 278*t**3 - 2129*t**3.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 12:05 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-112 - -70)*(-1)\/2. Solve -8 = 2*z, 5*p + 0*p - z = -i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74099 divided by 2402.\nAnswer: 74099\/2402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3748 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/25 - (-59280)\/19500\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -105 + 115 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v - 28 = 29*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -359.692 take away -19302045?\nAnswer: 19301685.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -332122323213?\nAnswer: -332122323133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 60?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (45\/(-10))\/9*38. Let s(a) = 23*a**2 - a - 4. Let f be s(3). Let d = g + f. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p - 632683 = -632646 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 208505, 208440, 208371, 208298, 208221?\n\"Answer: -2*m**2 - 59*m + 208566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290992 is divided by 43?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, d: 2, m: 4, l: 5}. Give prob of sequence do.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5 - 9886*g**4 + 11882880*g**3.\nAnswer: 2*g**3*(g - 2880)*(g - 2063)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 e, and 1 h when four letters picked without replacement from {h: 8, q: 1, e: 10}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1832 and 15555054.\nAnswer: 62220216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/197 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjg when three letters picked without replacement from {z: 4, j: 3, n: 8, g: 2, y: 2}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*l + 3*l - 8 = 0, -4*r - l = 44. Let c = 14 + r. Let x(w) = 9*w + 12*w**2 - 9 - 11*w**2 - c*w. What is x(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j - 4. Let p = 4 - -2. Let s be o(p). Is 1\/(((-6)\/s)\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**2 + 3. Let y(f) = f**3 - 4*f**2 + 2*f + 4. Let p be y(0). Let d(i) = 6*i - 3*i + 3*i - p*i. Give d(l(m)).\nAnswer: -12*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 11 = -3*c + 3*t, -3*t = -4*c + 32. Suppose -122 = -c*z - 3*u, -5*z + 2*z - 5*u = -86. What is the smallest common multiple of 16 and z?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or 22396073?\nAnswer: 22396073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 - 132.03. Let o = f + 3.97. What is the nearest to 1\/3 in 0.2, -5, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d**5 - 15*d**4 - 45*d**3 + 60*d**2 - 12*d = 0. Calculate d.\nAnswer: -2, 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-48) - 18\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b + 11. Let p(c) = 8*c - 16. Let f(q) = -7*k(q) - 5*p(q). Let o be (-82)\/(-8) - (-4)\/(-16). Let l be (-14)\/(-5) + 2\/o. Calculate f(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -0.3, -5, 15.8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -2\/3 (c) -1435 (d) -3\/4 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2344 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-2 + (-2 - -1))) + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -412533240 + -6\nAnswer: -412533246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, n: 3}. What is prob of sequence na?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -794.5 - -794.1. Which is the third smallest value? (a) 0.7 (b) -4 (c) 0.5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 = -15. Let g = m - 2. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -1 + 0*c**2 + 3*c**2 + 4 - 2*c**3 + 0*c**2. What is the second derivative of j(v) wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gssfttxqfttgtsg. Give prob of sequence gt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338 = -35*r - 373 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 16 - (1493 + -1499).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1 + o - 2*o - 2*o**2 + o**2. Let t(p) = p**3 + 2*p**2 + p + 1. Let s(i) = -i**3 + 10. Let a be s(0). Suppose -8*c - a = 6. Give c*j(v) - 2*t(v).\nAnswer: -2*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7629, -15254, -22879, -30504, -38129?\n\"Answer: -7625*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 593406 and 1887138.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (9 + -10 + 16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110153 + -60346. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c**3*i**2*x**2 + 64*c**3*i**2 + 41*c**2*i**2 - 2*c**2*x**2 - 2*c*i**2*x + 2*c*i*x**2 wrt c?\nAnswer: 42*i**2*x**2 + 384*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-852)\/9 + 6\/9. Suppose 0 = -2*c + 2*l - l + 20, 2*l = -2*c + 32. What is the least common multiple of (-3)\/(-9) - u\/6 and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 23*c**3 - c + 3. Let d(n) = 1. Let i(k) = 3*d(k) - t(k). Give i(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/356 and -25\/319428.\nAnswer: 28429092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/18*2*(-27)\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7\/2)\/z**(-17) assuming z is positive.\nAnswer: z**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 17*p**2. Let s(a) be the second derivative of a**3\/6 + a. Determine s(i(u)).\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - v**2 + 10*v - 3 - 6*v + 6. Let f be o(7). Find the third derivative of -5*c + f*c**2 - 3*c**6 + 7*c - 2*c wrt c.\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.476, 2\/7, 5, 36?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/209 in -1, -3, -2\/11, -103?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -45*t**2. Let g(z) = 4*z + 6*z - 10*z - 2*z. Calculate m(g(h)).\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2950 = -2*k + 12*k. Let q = k - -302. Solve -q*b = -11 - 24 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22881*-0.1075\nAnswer: 2459.7075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 79*a**2 - 4258 - 85*a**2 + 4258. Let c(y) = 1104*y**2. Determine w(c(m)).\nAnswer: -7312896*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**2 + 2*l + 3. Let i(j) = -5*j**2 + j + 4. Calculate 3*i(k) - 4*s(k).\nAnswer: k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**4\/3 - 3*o**2\/2 - 589*o. Let a(s) = -6*s. What is t(a(g))?\nAnswer: -144*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2918 - 2918. What is the second biggest value in d, -1, -1004?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*i + 2*i. Let h = i + 2. Suppose -2*v = -5*a - 51, -15 = -h*a - 3. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.3, -126, -3\/4?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*d + 43*d + 12*d)*(-d**3 + 4*d**3 - d**3 + (0*d + 0*d + 2*d**3)*(0 - 1 + 3) - d**3 - d**3 + 0*d**3).\nAnswer: 92*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 - 4*k**2 + 2*k + 3. Let a be 3\/(-1)*(0 + -1). Does 15 divide o(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/14)\/((-3)\/21). Let a(r) = -1. Let j(t) = -2*t**2 + 3*t + 1. Let k(d) = a(d) + j(d). Let z = -8 - -6. Let n(u) = u**2 - u. What is g*n(c) + z*k(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 18 = -2*k + 3*f, -5*k + 34 = f. Let c(w) = -w**2 - 25 + k*w - w + 14*w + 3*w. What is c(21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1969.26771 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -21*a**2 + 7. Let p(h) = 14*h**2 - 5. Let u(x) = -8*p(x) - 5*z(x). Suppose -4*r - 5 - 11 = 0. Let w(c) = -6*c**2 + 4. Give r*u(n) + 5*w(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*2332\nAnswer: -23.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*y = 47*y + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74896314 divided by 3.\nAnswer: -24965438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2412 is divided by 142.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(875)\/sqrt(7))**2.\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 739805 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5 - 112*y**4 + 2220*y**3 - 16200*y**2 - 6750*y + 405000 = 0.\nAnswer: -4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from yzqzzyqyzyqzzz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1705*r - 1703*r - 20 = 5*j, -3*j + 5*r - 12 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/4 of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(-6*(sqrt(36) + sqrt(9)))*-1)\/(((sqrt(70) - (sqrt(70) - sqrt(70)*-2) - sqrt(70)) + sqrt(70))\/sqrt(7)*5*3).\nAnswer: -sqrt(2)\/540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9*y**2 + 139*y - 14393. Give d(33).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -685, -2806, -6321, -11224, -17509, -25170, -34201, -44596?\n\"Answer: q**3 - 703*q**2 - 19*q + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*l + 8*l**2 - 26*l + (0*l + 0*l - 6*l)*(4*l + l - 4*l))*(-l + 0*l - l) to a + v*l + t*l**2 + f*l**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 751.\nAnswer: -12\/751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2858109.\nAnswer: 3, 113, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(47 - (-265746)\/(-5655)).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-112))\/((-2)\/7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 585737*b**3 - 11*b**2 + 17*b - 7?\nAnswer: 3514422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7\/7*0\/(-10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1366\/143 - -103427\/10582. Let k = v + -5\/74. What is the nearest to 1 in 0.5, k, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 7*m**2 + 8*m + 4. Let y be s(-8). Let r = 301467 + -301465. Solve q + r*q - 4*w + 27 = 0, -y*q - 5*w - 5 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -96*u + 7471. Calculate z(78).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3055*v**2\/3 - 490466*v\/3 - 25128 = 0 for v.\nAnswer: -37692\/235, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 1:55 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 9*g - 12*g + 192 - 189 + 5*g.\nAnswer: -18*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 6*t**2 + 4*t - 6. Determine i(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033851 a multiple of 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5947 a factor of 5512256897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -57, 4, -3, 7, 0 in descending order.\nAnswer: 7, 4, 0, -3, -38, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:07 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*m - m - 12*m)*(-2 - 4 - 10)*(9*m + 5*m + 13*m) as r*m + d + f*m**2 and give f.\nAnswer: 8640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 314805034 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 6*a**2 + 7*a + 5. Let s be v(7). Suppose -4*h + 3 = -s. What is the least common multiple of h and 0 + (-3)\/3*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22 - -17) + 25 - 9) + -17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8 = k. Suppose 0 = -k*h - 0*h. Suppose h*m + 12 = 4*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.5 + -2.5. Let y = 0.04 - -0.16. Let v = -0.0687 - -3.0687. What is the fourth biggest value in z, -1, v, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 299981 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7759 - 7745. Solve 13*i - g = 20*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.25 + -2.25. Let k = 0.1 - -1.9. Let u = 0.3 + -0.8. What is the third smallest value in k, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9416 + 2220 = 326*s - 69*s for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*k - 327, 4*i - 52*k + 47*k + 1325 = 0. Let f = i + 506. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 29 = -2*y, -y = 2*j - 629 + 649 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26390 + -7598. Is 108 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 2:09 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/164910 and -47\/18.\nAnswer: 494730","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: 110303212 (base 4) to base 13\nAnswer: 2ca37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 2. Let f be c(-2). Suppose 2*l + 5*u = 3 + f, 20 = 4*u. What is the units digit of 3\/l*4*-5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-18)*27\/(-30)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003312 to 7 dps.\nAnswer: 0.0000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 - 16*z**3 + 4*z**2 + 16*z.\nAnswer: -4*z*(z - 1)*(z + 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2 = 7*a. Let r = -40536\/35 + 1158. Which is greater: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483864.\nAnswer: 2, 3, 20161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from errrneennm. Give prob of sequence em.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94451203?\nAnswer: 7, 11, 31, 39569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pk when two letters picked without replacement from gkgp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/20 + (-2)\/5 + 37. Suppose -k - s - s = 11, c = -4*k - 2*s. Let t(z) = 2*z**2 + 46. List the prime factors of t(k).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/7, 0, 0.47 in decreasing order.\nAnswer: 0.47, 0.2, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdvmvvddmdmmdgdvdmdm. Give prob of picking 3 m and 1 d.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033875359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 28544382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(720)\/sqrt(9)*-6.\nAnswer: -24*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + sqrt(243))*3.\nAnswer: 7 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(2870\/4) + (-632)\/35.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + y - 2. Let s(g) = 17*g**2 - 7*g + 85. Calculate 14*a(r) + 2*s(r).\nAnswer: 6*r**2 + 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1840345 divided by -141565.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 305587265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 142*k + 14. Let c be l(3). Let t = c - 125. What is the greatest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -3.9. Let m = -0.8 - 0.2. Let l = -8 + 8.3. Which is the third smallest value? (a) l (b) s (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2. Let g = 203 + -517\/3. Let w = g - 32. Sort h, w, -0.4 in decreasing order.\nAnswer: -0.4, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 4, n: 3}. Give prob of sequence lp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -36, 311*b = -2*l + 312*b + 9871. List the prime factors of l.\nAnswer: 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -11*q**8\/14 + q**7\/70 - 1097*q**5\/60 - 241*q**2 - q. Find the third derivative of l(u) wrt u.\nAnswer: -15840*u**2 + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*l = 4, -2*r - 5*l - 11 + 0 = 0. Factor 3*h**2 + r*h**2 + 5*h - 5*h**2 - 5*h**3.\nAnswer: -5*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 0)\/(-3) - 0. Suppose -4*q + 0*q = -2*c - 8, -4*q - 16 = 0. Let p be -1 + c\/(h + -1). Solve -4 = -0*i + 2*i - n, -2*n - 28 = p*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3 - 7. Differentiate -13*n**3 + 13*n**3 + x*n**3 - 3 + 5 with respect to n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*w - 218*w + 1960 = -76*w - 88*w for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 14 = -x - y, y - 22 = -x. Suppose -x = -g + 57. Suppose g + 33 = 5*k. Calculate the lowest common multiple of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36980231.7 to the nearest one thousand.\nAnswer: -36980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.3189 or 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let r(g) be the third derivative of g**5\/15 + 4*g**2. Determine r(y(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26044 - 239987 + 60975 - 254964 = -7667*u for u.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from {o: 1, g: 1, m: 2, f: 2, r: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2732 plus 0.1?\nAnswer: 2732.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**2 - 13*d. Let k be t(6). Suppose -s = 5*r + 4*s - 50, 5*s + 27 = 2*r. What is the least common multiple of r and k\/14 + (-20)\/70?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -579 + 4967*t**2 + 325 + 254.\nAnswer: 4967*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 16914*t**2 + 50551*t - 578. Determine s(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*x**4 + 18 - 18)*(5 + 1 - 4) to the form j + z*x**2 + h*x**3 + m*x**4 + v*x and give m.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/5)*d**(3\/2))\/((d*d**(2\/23))\/(d*d\/(d*d*d**(3\/5)))) assuming d is positive.\nAnswer: d**(3\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17912691 divided by 29\nAnswer: 617679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*c + 40 = 0, 0 = 2*c - 0*c + 10. Let l = a - 16. Is ((-68)\/l)\/((-1)\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1807 greater than or equal to -1803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 6 + -2 + -8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z + 10*z + 11*z - 46*z + 13*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -1\/180*s**6 - 7\/15*s**5 - 800\/9*s**3 + 0*s - 40\/3*s**4 - 2*s**2 + 18. Solve k(a) = 0 for a.\nAnswer: -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 8*q - 14. What is the units digit of j(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 0.3, -0.25, 19\/2, -42, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 - (0 + -7 - (-15 + -13 + 21))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8706 - 7781 = 37*h for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*k - 7*k - 179*k**2 - k - 7*k to the form p*k + f + d*k**2 and give d.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 173 - 119. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -279 divided by -3?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4 - 2)*(-2535*q - 47*q**2 + 2535*q).\nAnswer: -423*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w + 45 = 42*w. Find the second derivative of -120*p + 10*p**w + p**3 + 86*p**3 wrt p.\nAnswer: 582*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d + -5c?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -1967*y**5\/30 + 643*y**3\/2 + 2*y**2 - 10*y + 1. What is the first derivative of v(u) wrt u?\nAnswer: -7868*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*w - 4*t, -2*w + 3 = -t + 5. Is w*(-403 + (-8)\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*s*w**3 + 2*s*w + 38*w**3 + 3*w**2 + 107 wrt w.\nAnswer: -96*s + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3101 - 1555 - 1546 + 3*b**3 - 106*b**2 + 106*b**2.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 43 + 32. Suppose 11 = 10*t - 9. Suppose o = -t*s + 7*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6773*s - 6767*s = 120. Solve -5*c - 3*n = s, 12 = -4*c + c - 4*n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39512185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 26213?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (35596\/165 + 1\/(-15))*(1 - -2) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/2*16\/(-12). Let p = 9 + h. Suppose -s = -i - 15, -79 = s - 6*s + 4*i. Solve 0 = -2*m + g - 6*g + 33, p*g = -m + s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17334, 34674, 52018, 69366?\nAnswer: 86718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 3)*(-2 + 2 + 1) - 1 - 1 + 6)*(-102 + 3*w**4 + 102)*(-2*w - 2*w + 2*w).\nAnswer: -42*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-2))\/((-3)\/(-4)). Let x(y) = 17*y**2 - 4*y - 5. List the prime factors of x(u).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -5*k + 4*d - 120, 4*d = k + 24. Let w be 16\/k + (-20)\/(-3). Find the second derivative of y + 3*y - 3*y**2 - w*y**2 + y wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 23*o + 8. Suppose 0 = 2*m + 2*w, 12 = 5*m - 0*w - w. Let t be (8\/m)\/(23\/92). Is 20 a factor of x(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26608332 and 0.1?\nAnswer: 2660833.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 7*m**4\/24 + 181*m**3\/6 + 712*m**2. Give q(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4072*z - 4036. Determine o(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*y**2 - 3495*y + 280 = 0.\nAnswer: -7, 8\/101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5566*n**2 + 10451*n?\nAnswer: -11132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -1\/4*d**4 + 1\/3*d**3 - 1\/20*d**5 + 0 - 3\/2*d**2 + 2*d. Let o be (5 + -4)*(-1 + -2). What is t(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25482 and 1209.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 16. Suppose 0 = -2*f - b + 12, -2 = -2*f - b + c*b. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5\/9 + 66878*l**4\/9 - 557373638*l**3\/9 - 28614760670*l**2\/9 + 121145386400*l\/9 - 123373811000\/9 = 0 for l.\nAnswer: -55, 2, 16745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1043 - -15038813.\nAnswer: 15038812.8957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1054, -2056, -3058, -4060, -5062, -6064?\n\"Answer: -1002*l - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -723 + 8*r + 1453 - 728.\nAnswer: 8*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 22*l**2 + 3*l - 2. Suppose 3*d = -3*a + 2 + 1, -5*a - d - 11 = 0. Is o(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -85*d**3 + d**2 + d. Let r be (-26)\/(-5)*(-15)\/(-6). Let x = r + -14. Is j(x) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2695*o**2 - 63 + 63 - 104*o**2.\nAnswer: -2799*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by -23460.\nAnswer: 5\/1564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 8\/120859?\nAnswer: 8\/120859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**5 + q**2 + 4*q**2 - 3*q**5 wrt q?\nAnswer: -420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-1 + (-33 - -34))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 28*m + 1 = -31*m, -17 = 5*o - 4*m. Let f(w) = -59*w - 325. Let j be f(o). Sort j, 7, 3 in increasing order.\nAnswer: j, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**3\/3 + 5*q**2\/2 - 2*q + 1. Let w be t(4). List the prime factors of (-36)\/(-1*3) + w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5832 and 29853.\nAnswer: 19344744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 - -101. Let h(c) = -620*c**3 + c**2 + c - 1. What is the units digit of h(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-16 - -6 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.99 + -0.61. Which is bigger: r or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580596997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14687.\nAnswer: 19, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 1469424?\nAnswer: 19102512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*h**3*p + 97*h**3 - 264*h**2*p + 3*p + 4 wrt h?\nAnswer: -318*p + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23189.\nAnswer: 23189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.5, -1, 4, -2\/11.\nAnswer: -1, -2\/11, 0.5, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 34. Solve -w - 8 = q + 4*q, 2*w = -5*q - f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 2:43 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4*q = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 0*q**2 + 2*q**2)*(11*q**2 + 31*q**3 + 0 - 15 - 32*q**3).\nAnswer: -3*q**5 + 33*q**4 - 45*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (14 + -24)) + -1 - (-21)\/(-11).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.8 - 1.75. Let i = -0.35 - v. Let n be 44\/(-33)*(-3)\/(-14). What is the third biggest value in -4, n, -3\/7, i?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6529*m - 6529*m - 2*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -13*o. Let t(k) = -k + 29. What is v(t(d))?\nAnswer: 13*d - 377","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 36.2. Let t = -4 - j. Let g be (3\/30)\/((-2)\/12). What is the third biggest value in 0.2, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 157709.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -144170000 rounded to the nearest 1000000?\nAnswer: -144000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.32 + 0.08. Let y = 79 - 77. What is the nearest to -0.1 in y, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69803?\nAnswer: 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3\/6 + 827*c**2\/6 - 1657*c\/6 + 829\/6 = 0?\nAnswer: -829, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 + 65. Let a = c - 10. Let w = a + 72. What is the nearest to w in -1, -0.2, 28?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(44)\/sqrt(2))\/sqrt(2))**2 - (sqrt(99) + sqrt(11))*4) + -3.\nAnswer: -16*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 5.1. Let d = -0.6 - t. Let s = -1 - -1.1. What is the smallest value in s, 2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.339826 rounded to 3 dps?\nAnswer: 7.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -808, -1075, -1320, -1531, -1696, -1803, -1840, -1795?\n\"Answer: 2*o**3 - o**2 - 278*o - 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**7\/70 - 4*k**6\/25 - 27*k**5\/50 - 4*k**4\/5 - k**3\/2 - 8*k + 9. Factor x(o).\nAnswer: -3*o*(o + 1)**3*(o + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118989*g**3*v - 1034*g**3 - g**2*v - 2*g**2 - 13*g*v - 832*g + 2*v + 205 wrt g.\nAnswer: 713934*v - 6204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -2\/5, 1754, 1, -13, -15, 0?\nAnswer: 1754","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 5. Let x be (10\/(-1))\/((-2)\/44). Suppose -q*k + x = -k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*m - 233, -g + 3*m - 30 - 30 = 0. Let q = 86 + g. Does 29 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (2 + sqrt(171))*5)*-4 + -4)**2.\nAnswer: 3456*sqrt(19) + 45072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*c + 3*u - 22 = -2*u, -2*u - 14*u = c + 56*u - 363 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*x + 5*x + 5*b, -b = -4*x + 81. Calculate the remainder when x is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-82 - 82 - 269*c + 169)*(2*c**3 + 3 - 3) to y*c + p*c**2 + z*c**4 + v*c**3 + g and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 7172 + 20834 = 0. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3905 + 208*c - 3905)*(c - 2*c + 3*c) - 5*c**2 - 4*c**2 + c**2 - 4*c**2 + 3*c**2 + 3*c**2.\nAnswer: 410*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64.08 + -13.11. Let i = -77 - q. Which is the smallest value? (a) i (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 3*m. Let f(w) = -w**2 + 2*w. Suppose -6 = 6*l + 6. Give l*k(j) + 3*f(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445477976?\nAnswer: 2, 55684747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (-20 - -13) - (6 - 6 - -2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 10*d**2 + 0*d**5 - 2\/35*d**7 - 5\/3*d**3 + 0*d**6 + 0*d + 0 + 0*d**4. Differentiate z(c) wrt c.\nAnswer: -48*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -15.5, 1\/33 in ascending order.\nAnswer: -15.5, 0, 1\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((q*q*q*q*q**(2\/3)\/q*q)\/q)\/q)\/q)\/q*q)\/(q**(-19)*q*q))**39)**(2\/15) assuming q is positive.\nAnswer: q**(1456\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -14*d + 28. Let n(y) = 2*y - 1. What is 12*n(g) + 2*z(g)?\nAnswer: -4*g + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/2415 and -109\/8970?\nAnswer: 62790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.39530983 to 2 dps.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + t + 10, 3*t = 2*g - 3*g - 19. Sort 2, g, -0.18, -0.1, 4.\nAnswer: g, -0.18, -0.1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 69.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(2\/(1\/((-99)\/88))).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(3\/11))**(27\/7))**(1\/58) assuming n is positive.\nAnswer: n**(108\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 817712\/154 - (-2)\/11. List the prime factors of (-32)\/(-24)*(u\/4 - 0).\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o - 2. Suppose -d + 3*d - 4 = o*h, 0 = d - 5*h + 5. Find the second derivative of 0*v**5 - v**d + 2*v**5 + 2*v wrt v.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -761 - 675 - 400 = -108*z for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 20*g**2 - 3*g - 56. Let p be c(-20). Solve 0 = -2*u - 3*t - p, 0*t = -t + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(4\/(-6)*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/15*(-9)\/(9\/(-5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5452 - -5899. Is 447 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -1905, -8336, -22001, -45588, -81785?\nAnswer: -133280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, b: 12}. Give prob of picking 2 u.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-7 - -3)) + (-30 - -37).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 7*g + 4. Let p be o(-7). Suppose -p = -0*l - l. Let 0*r**2 - 1\/5*r**5 + 0 + 1\/5*r**3 + 0*r**l + 0*r = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14250 and 1176005?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q. Let a(o) = 3718069*o. Give a(t(c)).\nAnswer: 18590345*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 16*s**2 + 28*s - 23. What is the hundreds digit of b(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwy when four letters picked without replacement from {w: 4, y: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5871.926 decades in centuries?\nAnswer: 587.1926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.64 + 2.6. What is the nearest to 0 in -0.3, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-414)\/(-12) - -11)*(-4 + 88\/77). Suppose 0*r = -r + 6. Let j(l) = -8*l - 3. Let a(g) = -175*g - 65. Calculate r*a(y) + s*j(y).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -0.6?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1008)\/14*(1 + -4). Calculate the greatest common divisor of l and 2844.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2. Let c(m) be the first derivative of -m**6\/360 - 4*m**3\/3 + 1. Let t(a) be the third derivative of c(a). What is t(b(z))?\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -13) + 13 + 0 - 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lltyt. Give prob of sequence ltl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 + c**2 - c + 2. Let s be o(-2). Suppose -4*f = -f - s. Solve -b + f = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 899126.\nAnswer: 2, 449563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 887245602295\/40946579304 + -573\/15148568. Let w = 3\/1802 - d. Is w >= -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.013, -1\/4, 2\/17 in increasing order.\nAnswer: -4, -1\/4, -0.013, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44449357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 5:29 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(425)*-1 + sqrt(425)*1 + -2)**2.\nAnswer: 60*sqrt(17) + 3829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 0)*3*-4 + ((4 + -2 + sqrt(252))**2 + sqrt(252) - -2*sqrt(252)*5).\nAnswer: 18*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2647*j + 2647*j + 11*j**3 - 12*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzxozouuxuooouauozoz. Give prob of picking 1 z and 2 o.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18, 39, 74, 123, 186, 263, 354?\n\"Answer: 7*g**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -39*l**2 - 4*l - 30. Let p(f) = 2*f**2 + f - 10. Let q(i) = 3*p(i) - u(i). Let t(z) = 2*z**2. What is q(t(w))?\nAnswer: 180*w**4 + 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-21)*(w**(5\/2)\/w)\/w assuming w is positive.\nAnswer: w**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 + 71*k**4 - 336*k**3 + 392*k**2 + 272*k - 528.\nAnswer: -(k - 66)*(k - 2)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(1 + sqrt(847) + (sqrt(847) - 1*sqrt(847))))**2 + sqrt(847) + -1 + 2 + -1 + sqrt(847)*3.\nAnswer: 506*sqrt(7) + 7672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1286, 2584, 3886, 5192, 6502, 7816, 9134?\nAnswer: 10456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7775657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1325 + 562 = 0. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30937 + -30934. Which is the nearest to -1? (a) 0.06 (b) -69 (c) g (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 394*k**3 + 12*k**2 + 2*k + 9. Let z(j) = -393*j**3 - 10*j**2 - 2*j - 7. What is 5*s(y) + 6*z(y)?\nAnswer: -388*y**3 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88*s**3*u - 4*s**2*u**2 - 10*s**2 + 5*s*u - 2*s + u**2 - 31*u wrt s.\nAnswer: -528*s*u - 8*u**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 - 3*s**3 + 5*s**3)*(0 + 2*s + 0) + 4*s**4 + s**4 - 4*s**4 - s**4 + s**4 - 2*s**4 + (0*s - s + 2*s)*(0*s**3 + 0*s**3 - 2*s**3).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 3)\/((-4)\/(-60)). Let s be (-6)\/c + 526769\/110. Let m = s + -4787. What is the common denominator of -151\/6 and m?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.141 from -5.5142.\nAnswer: -5.6552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*c**2)*(8 - 3 + 10)*(-3*c + 6*c - 6*c).\nAnswer: -90*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**8\/112 + k**4\/24 + k**2 + 3. Let r(b) be the second derivative of d(b). What is the second derivative of r(p) wrt p?\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-30))\/(141018\/(-1140) + 123)?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 2*z**2 - z + 1. Let o be f(-2). What is the closest to o in 0.2, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 + 5 = 20*r. Solve 0 = 4*q - r*q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3*(-14)\/21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 547790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 3. Let b be o(6). Let p(g) = g**3 + 3*g**2 - 4*g + 2. Let z be p(-4). What is the units digit of b + z - -3 - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 191416 and 3976.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3533*i - 1124*i - 1185*i - i**3 - 1166*i.\nAnswer: -i**3 + 58*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -34350 times 0.4\nAnswer: -13740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -172.54 - -173.04. What is the fourth biggest value in n, 34, -2, 3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 + 83 - 28 - 26 + 1969*k)*(-k**3 + 3*k**3 - 3*k**3) to r*k**2 + h*k + u*k**3 + s*k**4 + g and give s.\nAnswer: -1969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2db61 (base 16) to base 10.\nAnswer: -187233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2 - 305344*l\/9 - 135712\/9 = 0. Calculate l.\nAnswer: -4\/9, 16964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 56 - 11. Let m = j - -29. Suppose -210 = 15*k - m*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 17 = -3. Suppose x = 2*y + c, 3 = 4*x + 3*y + 27. Let h be 11*(x - 14\/(-2)). Calculate the greatest common factor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-75*a + 19*a**2 + 75*a)*(316 - 168 - 183)*(0 - 3 + 2) + (4*a - 3*a + a)*(0 + 0 + a))*(-3 - 2*a**3 + 3 - 2).\nAnswer: -1334*a**5 - 1334*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 8*d**2 + 98*d + 53. Let c be z(7). Suppose -2\/3*g**2 + 14\/3 + c*g = 0. What is g?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/31? (a) 0 (b) 3\/7 (c) -5 (d) 3\/233\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/3, -3\/7, 290, 7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 11:52 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cets when four letters picked without replacement from {o: 2, c: 1, t: 1, e: 3, h: 1, s: 4}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y + 13. Let p(c) = 5*c + 12. Let t(v) = -6*k(v) + 7*p(v). Let g = -14 - -11. Let l(x) = -x + 6. Let q(j) = g*t(j) + 4*l(j). Give q(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*c - 8, -19*c = -18*c - 3. Solve -3*h = -k + n, 0 = 6*k - k + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2657 and 121873933.\nAnswer: 2657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 2*n**2 - 11*n - 8. Let k(b) be the third derivative of -b**6\/120 + b**5\/60 + 7*b**4\/24 + 5*b**3\/6 - 1692*b**2. Give 8*k(r) + 5*x(r).\nAnswer: -3*r**3 - 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - h + 100, -4*h + 80 = 3*a + a. Solve 4*x = -x - a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o + 114 = 29 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 59. Suppose t = j + j. Let k(g) = 2*g + 1. Calculate the remainder when j is divided by k(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -48206734 and 263.\nAnswer: -48206471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397 = 23*z - 164 - 187. Put -5, -3077, z in decreasing order.\nAnswer: z, -5, -3077","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57? (a) 0.4 (b) -1\/3 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11*k**2 + 1. Let l(n) = -9*n**2. What is l(w(x))?\nAnswer: -1089*x**4 - 198*x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1947*k**3 - 431*k - 969*k**3 + 431*k - 979*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:57 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + -1 + 2 + 1. Is r*95\/(-2) - -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/743 and 28\/73557?\nAnswer: 73557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 1. Let p be u(-5). Let t(x) = 4*x**2 - 897*x + 7131. Let l be t(216). Determine c so that -8\/3*c + 38\/3*c**l - 16\/3*c**2 - 14\/3*c**p + 0 = 0.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*h + 1 = -9, 11 = -5*a - 4*h. What is the nearest to 0 in -2\/5, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -107 (b) -1.2 (c) -2\/419\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 9726228.\nAnswer: -1\/4863114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 1 - (0 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30617972*z**3 - 40104361 wrt z?\nAnswer: -91853916*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**7\/11340 - z**6\/1080 - z**5\/270 - 19*z**4\/12 - z - 4. Let m(a) be the third derivative of w(a). Solve m(q) = 0 for q.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/624 and -43\/12012?\nAnswer: 48048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {y: 1, e: 12}?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 - i**2 - i**2 + (-2*i + 0*i - i)*(47*i - 252*i - 50*i - 164*i).\nAnswer: 1254*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-2)**2*3 + sqrt(180) + ((sqrt(180) - sqrt(180)*-2 - sqrt(180)) + 5)**2.\nAnswer: 126*sqrt(5) + 5605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2000, 3996, 6018, 8078, 10188, 12360, 14606?\n\"Answer: 2*q**3 + q**2 + 1979*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 10\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 2:07 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3562, -28581, -96490, -228733, -446754, -771997, -1225906?\nAnswer: -1829925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.05920355\nAnswer: -0.29601775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**3 + 12*t**3 - t**3 - 2*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-2 + 1)**2 + -4.\nAnswer: -4*sqrt(19) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 29 = 4*z, -5*z = 16*x + 16*x - 27*x + 20 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 38*u + 5. Let f(v) = -57*v - 8. Let m(w) = -5*f(w) - 7*s(w). Let g(o) = 10*o + 3. Calculate -5*g(n) + 3*m(n).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/2 - (18 - (108 + -144))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-8 - 1) - -2. Let o = 7 + p. Suppose o = -3*g - t + 17, 3*g - 5*t = -2 + 43. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 16 + 6 = 0. Suppose 36 = g*x + 3*k, 8*x - 3*x = 5*k + 20. Suppose -2*t = 2*f - x*f + 8, 0 = 3*t. Solve -r = f*r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 21, -1555.\nAnswer: -1555, -39, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12156718.\nAnswer: 2, 7, 868337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 0 - 7\/6*k**3 + 3*k**2 + 1\/24*k**4 + 0*k + 1\/60*k**6 - 1\/60*k**5. What is the tens digit of f(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -554.2 take away -8.45?\nAnswer: -545.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.9505 from 872026.\nAnswer: 872023.0495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4918, -4919, -4920, -4921, -4922, -4923?\nAnswer: -4924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3460463 - 14?\nAnswer: 3460446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13901, -13896, -13897, -13910, -13941?\n\"Answer: -f**3 + 3*f**2 + 3*f - 13906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1522 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(-8*2\/12)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + 41)*(-3)\/(-6). Is 22 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*l = -16, 0*l - 2*l = 0. Let o(g) = -g**2 + 4*g. Let p be o(1). Sort m, -1, p, -7 in decreasing order.\nAnswer: p, -1, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91\/4 + 23. Suppose 8*z = 4*z + 12. What is the smallest value in z, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2 - 7*h - h**2 - 1 - 3 - h**3. Let d be y(-5). Let k be (9 - (-12)\/(-6)) + (-3 - -4). What is the greatest common divisor of d and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37546780 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.881859 and 0.147?\nAnswer: -0.423633273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -2)\/3*119. What is the greatest common divisor of m and 731?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215, -521, -1001, -1733, -2795, -4265, -6221?\nAnswer: -8741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f = -29*f + 368. Sort 3, f, 5 in ascending order.\nAnswer: f, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -85002, -95939, -106874, -117807?\n\"Answer: l**2 - 10940*l - 74063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 520 = 136. Suppose 23 = 6*v - 7. Suppose v*f - 209 + 4 = 0. Calculate the highest common divisor of f and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 500 and 114628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 510383582\/80792115 + -2\/557187. Let l = b - -12\/145. Let u = -86\/15 + l. What is the nearest to u in 1, 3\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 420, 424, 430, 438, 448?\n\"Answer: r**2 + r + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.94 + 0.06. Which is the third biggest value? (a) 1\/2 (b) o (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-6)*(-495)\/(-440)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143 - -10. Let q = 175 + s. What is the derivative of -208*c + 208*c - q*c**3 + 43 wrt c?\nAnswer: -126*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rntnrjjijlr. Give prob of sequence jr.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*c**4 - 6368*c**3 - 30*c**2 - 328*c - 84 wrt c.\nAnswer: 864*c - 38208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -252.2 (b) 24 (c) -5 (d) 0 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16575031*s - 16575031*s - 4*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8649 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*z**5 + 0 + 0*z - 29\/4*z**4 - 31\/4*z**2 - 61\/4*z**3.\nAnswer: z**2*(z - 31)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 25. Solve a*o = -5, -4*g + 0*o - 2*o = -18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 9*p - 17. Let g(j) = j**3 + 5*j**2 + j - 5. Let f be g(-5). Let t be w(f). Let q be (0 - t)*4\/14. Solve -7 = q*s + 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -40*a - 121. Let h(v) = v. Give h(g(q)).\nAnswer: -40*q - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Suppose 0 = 5*b, i*l - 2*b = -l - 296. What is l rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-6 + 13)) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30432 + 4?\nAnswer: 30441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2365 (b) -69 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t + 32. Let v be w(-9). Suppose -4*f + 8 = -v*i - 95, -5*f = i - 136. Calculate the smallest common multiple of 3 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93288 and 5382.\nAnswer: 279864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 33 + 13 = 4*w, 4*w + 32 = 5*u. Suppose 96 = -u*k - 3*f, 0 = -f - 4*f + 20. Let b = 88.1 - 88. Which is greater: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 + 705878 - 352940 - 352938.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 8*k + 11. Let g be s(9). What is the third derivative of 5*i**g - 4*i**4 - 5*i**4 + 15*i**4 wrt i?\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/15*(-3)\/(-16). Let c = p + -101\/304. Let d = 70 + -69.6. What is the closest to d in -2\/21, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 3*p + 4*p)*(-28 + 1 - 19).\nAnswer: 46*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(117))\/(sqrt(18)\/sqrt(18) - sqrt(9)) - (5*(sqrt(13) + 2 - sqrt(13))**2 - (sqrt(13) + sqrt(52)\/sqrt(4))*2).\nAnswer: -20 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r + r + 3*r)*(-r + 1 - 1) - 132*r**2 + 133*r**2 + 1 + 5*r + 2*r + (-5*r**2 + 4*r**2 + 5*r**2)*(0 - 2 + 4) in the form l*r + p + x*r**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.300523\nAnswer: 0.0601046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6) + 580\/15. Let v = 74 - m. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 2*c + 5. What is the lowest common multiple of x(-7) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 9. Let i be p(9). Sort -19, 5, i in descending order.\nAnswer: 5, i, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) 5 (c) 25\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -53.8. Let u = w + 5.800015. Round u to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -38*f + 90. Suppose 2*a - 7*h = -10*h + 25, f*a + 4*h - 35 = 0. Solve 2*b - 23 = -2*b - 5*y, -5*y + 25 = a*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**(-7))*n\/(((n**(2\/39)\/n)\/n)\/n)*n**(-10)*n**(-2\/7) assuming n is positive.\nAnswer: n**(-3641\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 106 = -5*c - 3*i, -23 = -c - i. What is the remainder when c is divided by (-18)\/24*(-156)\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/7 - 35754*h\/7 - 35757\/7.\nAnswer: 3*(h - 11919)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - -1.7. Which is the nearest to f? (a) 3 (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-40)\/350)\/(1\/5))\/(130\/91).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + 3*p - 3*p)*(-5 + 1 + 11).\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 2 + sqrt(2736)*-2 + (sqrt(2736) - -2*-3*sqrt(2736)))**2 + 1.\nAnswer: -288*sqrt(19) + 98501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/9)\/(5\/(-15)). Which is smaller: -16 or g?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 1380*h**2 + 8373*h - 6990.\nAnswer: -3*(h - 5)*(h - 1)*(h + 466)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 4, u: 5, s: 1}. What is prob of sequence ps?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.3. Let u(s) = 2*s**3 - s. Let j = -5 - -4. Let r be u(j). Which is the third biggest value? (a) 3\/4 (b) l (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**3 + c**2)*(3*c - 3*c + c**2) + 2*c**4 - 656*c - 43*c**2 + 656*c + c**5.\nAnswer: 2*c**5 + 2*c**4 - 43*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*(-162)\/(-216)*28\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from izwsu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/76*1045\/(-110) + 25\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31530\/7 + -4504. Which is the biggest value? (a) 4 (b) y (c) -4 (d) 3 (e) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 8*b - 140 = 0. Suppose b*n - 11*n = -5*g - 40, 0 = 3*n - g - 30. What is the lowest common multiple of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 11*f - 9*f + d, 5*d - 5 = 0. What is the remainder when 383 is divided by f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 - 166 - 221 + b - b - 181.\nAnswer: 4*b**3 - 568","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Suppose -5*b + 3*k + 8 = 0, 2*b - 2*k - 4 = -p*b. Suppose 0 = -2*f + j + b + 2, 5 = 4*f - j. Let y(d) = d. Calculate y(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 380 + -320. Calculate the least common multiple of n and 196.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3148 + 4192. Calculate the remainder when j is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-4*p**4 + p**4 - 2*p + 0*p)*(105 + 123 - 20).\nAnswer: -624*p**4 - 416*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-60470)\/40 + 7)\/(1\/(-4)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216509550 to the power of 1\/3, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -810\/13? (a) -0.5 (b) 0 (c) 10 (d) 25 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6056 - 6004. Calculate the highest common factor of v and 6838.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 6*j**2 + 3. Let m be i(6). Suppose 2*o + 2*z = 4, 2*o - 5*z = m - 13. Suppose 5*s - 9 = 2*s. Solve 27 = 5*w - 4*c - 8, o = 5*w + s*c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/119)\/(22\/(-66)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 12*d + 15. Let f be c(-11). Suppose 18 = -y + f*a, 4*a - 14 = -3*y + 6*y. Calculate the greatest common divisor of y and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*b - 10, c + 2*c = 5*b - 27. Solve -3*a = -4*v + 18, b - 2 = -2*a - v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1007782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -102, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -150.156?\nAnswer: -150.156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.5 + 7.1. Let z = -0.4 - s. Let u = -3 - -3.5. What is the second biggest value in 0, z, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(11\/66)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 1917973?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87283 is divided by 2030?\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/20 + 2)\/((-5)\/20)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 581385 and 38759?\nAnswer: 581385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 318 + -73. Let x = m + -143. Let u = -101.99957 + x. What is u rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6d03 + c4?\nAnswer: 6dc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 729698.3656784837 + 0.0513215163. Let s = -729332 + t. Let w = s + -367. What is w rounded to two decimal places?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - (sqrt(15) - (sqrt(15) + (sqrt(240)*1 - sqrt(15))))) + sqrt(15) - (sqrt(15) - -4*sqrt(240)))\/(-6*4*(sqrt(48) - sqrt(3))).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 288405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 3*z = 110. Let o be 18\/(-15) + z\/(-55). Are -19\/9 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4888955?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6351 and 66294147?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1617 + 3962. List the prime factors of v.\nAnswer: 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -2*m**5\/5 - 22*m**4 - 968*m**3\/3 + 170. Factor f(s).\nAnswer: -2*s**2*(s + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -14780*h - 709434. Determine i(-48).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 7*y**2 + 4*y + 5. Let i be x(8). Let v = 29 - i. What is the remainder when v is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 35 + 3\/(-9)*-9. Let p = 57 - v. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 62764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.49 + -23.46. Let l = 11 + s. Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = 163*o - 478 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3374734.\nAnswer: 2, 11, 211, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 96069.47m in micrometers?\nAnswer: 96069470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, p: 10, v: 2}. Give prob of picking 1 v and 2 p.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 + 35*y**2 - 508*y - 63. Give b(-27).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8*c**(2\/13))**(-17) assuming c is positive.\nAnswer: c**(-1802\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1434 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7269 - 7265. Let z(v) be the second derivative of -w*v - 1\/2*v**3 - v**2 + 0. Give z(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/((-27)\/(-15)*204\/918)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4482 + -4481. Which is the nearest to j? (a) -0.024 (b) -1\/3 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-597)\/(-6) - (-2)\/(-4). Let d be 22\/w + (-34)\/(-9). Let m be -1 - (d\/1 + -8). Let v(y) = y + 2. Calculate v(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20476?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -76*s**3 - 11*s**2 - 5. Let a(z) = -77*z**3 - 13*z**2 - 6. Determine 5*a(h) - 6*w(h).\nAnswer: 71*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 23 = -w, 0*y + 2*y + 2*w = 30. Let z = y - 16. Suppose -z*u + 243 + 744 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**4 - 102*y**3 + 984*y**2 - 3690*y + 4725 = 0.\nAnswer: 3, 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0, 0.03, -1\/7, -0.5, 883?\nAnswer: 883","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1872) + 1)*5 - ((sqrt(1872) - (sqrt(1872)*3 - sqrt(1872))) + sqrt(1872) - sqrt(1872))*2)*3)**2.\nAnswer: 7560*sqrt(13) + 825777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - t + 1. Let x(r) = -287*r**3 - 4*r**2 - 5*r + 2. Determine -2*g(v) + x(v).\nAnswer: -287*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 divided by -20?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*r**3 - 599*r**3 + 1170*r**3 - 46 + 46.\nAnswer: -31*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(243) + 2)**2 + -1*(-3 + sqrt(243)) + (sqrt(99)\/sqrt(3)*6 + sqrt(33))\/(2*sqrt(11)*-3).\nAnswer: 263*sqrt(3)\/6 + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/184941473 - 1400561773193\/169776272214. Let l = m - -351\/34. What is the common denominator of 26\/33 and l?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/17353 and -59\/222?\nAnswer: 104118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63220 + -96?\nAnswer: 63135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) - 195\/(-20). Let g be 38\/(-95) - 76\/n. Let b be (2 + 0 - -3)*-1. Put g, -3, b in decreasing order.\nAnswer: -3, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2567.47 + -43.47. Let r = j + -2523.1108. Let f = 0.9 - r. What is f rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*a**6 + 50*a**2 + 2*a wrt a?\nAnswer: -3840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 243\/(-30)*(-8)\/20*(-1625)\/390?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5 = -4. Let r(c) be the second derivative of c**5\/20 + c**4\/4 + c**3\/6 + 2*c**2 - 39*c. What is r(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.998*0.197.\nAnswer: 1.181606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(432) + 4 + -3 + sqrt(432) + (sqrt(432)*2 + sqrt(432) - sqrt(432)) + (sqrt(33) + (sqrt(297) - sqrt(33))*2)\/(-2*sqrt(176)).\nAnswer: 2 + 379*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 213, 1\/7, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -677*w**2 - 25*w + 25*w - 932*w**2 in the form y*w**2 + j*w + h and give y.\nAnswer: -1609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1219 + 1229. What is the remainder when 245 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 36 = 4*b. Let x = 17 + b. Let j be (0 - 4)*x - 13. Put 3, -1, j in ascending order.\nAnswer: j, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 3:18 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 3*b + 19 - 53, 0 = 4*b - b + b + 40 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*a - a. Let k(l) = -l**3 - 5*l**2 + 9*l + 4. What is k(a)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 478 + -477.8. Which is the nearest to -2\/7? (a) l (b) 5 (c) 0.4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**4 - h**3 - 2*h**2 + 1458*h - 41338 wrt h?\nAnswer: -4*h**3 - 3*h**2 - 4*h + 1458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 540.70182 minutes in days?\nAnswer: 0.375487375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m + 4. Suppose 0 = m*g + 8 + 16. Let v(h) = -h**3 - 13*h**2 - 12*h + 7. What is the units digit of v(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*((-19)\/15 + 1). What is the biggest value in -3, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(-3)*(597916\/15367)\/(2\/11).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23022 != 21588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 314670998 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.087 times -46?\nAnswer: -1384.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((10 - 1 - (5 + -2)) + 32 + -37)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and 1470.\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 916247142 to the power of 1\/3, to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 695*a*b**2 + 934*b**2 wrt a?\nAnswer: 695*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -28*h. Let k(f) = f. Give 84*k(m) + 4*v(m).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390*m - 78 = 385*m + w, m + 5*w = 52. Let s(x) = -10*x + 5. Let o be ((-2)\/(-1))\/((-5)\/10). Calculate the remainder when s(o) is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016593031 to 6 decimal places.\nAnswer: -0.000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/3 - 2*o**3 + 36*o**2 - 121*o. Determine y so that b(y) = 0.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -g + 50. Let i = -5 + g. Let s be (-32)\/(-2) - 0\/i. Solve 0 = 3*a - 1 + s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52299 and 1055808?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 441088.\nAnswer: 2205440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1254627 - 21?\nAnswer: -1254650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2776641 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360120 by -72024.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/28)\/(898\/(-12572))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7.47351 and -0.09.\nAnswer: -7.56351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48173345?\nAnswer: 5, 11, 541, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, s: 3, a: 3, h: 4, z: 3, j: 1}. What is prob of picking 1 h and 3 a?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l*w**4 - 3*l*w + 33*l*z**3 - l*z - l + 2*w**3*z**3 wrt w.\nAnswer: 4*l*w**3 - 3*l + 6*w**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*k = 66*k + 108165. Is k 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 -o - 35*o**4 + o + 39*o**4 - 36*o**2 wrt o?\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 243712 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 209701248*d**5 - 143367129*d wrt d.\nAnswer: 4194024960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of z**2 + 604*z - 4618?\nAnswer: 2*z + 604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (-20 - (-33 + 24))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7367?\nAnswer: 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + 2 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-6)*(64\/120)\/1.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92*f**6*g + 5*f**4*g - 89*f**2 + 2*f - 2*g wrt f.\nAnswer: 11040*f**3*g + 120*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/2)\/(-1))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**4\/6 - 3*p**3\/2 - 25*p**2\/2 + 3705*p + 2. What is s(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (-9 + 17 + -9). Let z(a) = -32*a**3 - 8*a**2 - 20*a - 11. What are the prime factors of z(c)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z + 6. Let v(w) = -5*w + 9. Let i(x) = -x + 1. Let u = 6 - 12. Let n(k) = u*i(k) + v(k). What is n(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 - 5412?\nAnswer: -5383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -683889, -684285, -684681, -685077, -685473, -685869?\nAnswer: -686265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*v + 133, 3*l - l + 85 = -3*v. Let f be -8*(v\/(-12))\/(-9). Let 1\/6*r**f + 1\/3*r + 1\/6 = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {f: 3, d: 7, x: 3, q: 3, y: 4}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -46 - b6a?\nAnswer: -bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 625439 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001111101 + -1011000101?\nAnswer: -1001101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1455 is divided by 146?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -5. Let d(f) = r + 19*f**2 + f - 15*f**2 - 2. List the prime factors of d(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -3)\/((-6)\/(-21)). Let x(h) = 12*h**2 + 7*h + 10. Is x(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - -1 - (82 + -18 + -64).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 383459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**5\/15 - l**4\/6 + l**3\/9 - 278. Determine z, given that t(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 635 (base 7) to base 16\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (301\/(-86))\/((-23)\/((-1610)\/5))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -92*h + 89*h + 117, z = 2*h + 26. Let y = 83 - -103. Calculate the highest common divisor of y and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3, -12, 21, 102, 237, 432?\n\"Answer: c**3 + 15*c**2 - 61*c + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 - 3*a**2 + 396*a**3 + a**2 - 400*a**3.\nAnswer: -4*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-9)*(-18)\/2. Let v be (-18 + 17)\/(-1 - (-8)\/9). What is the highest common divisor of u and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.529 take away 15?\nAnswer: 78.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 170, 426, 824, 1388, 2142, 3110, 4316?\nAnswer: 5784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 25200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -689, -690, -687, -680, -669, -654?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5\/(-60) - (-2017)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80591779?\nAnswer: 80591779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-20))\/(1\/(-2)). Let i = 296\/115 - 27\/23. Factor -b*m**2 + i*m - 2\/5.\nAnswer: -(m - 2)*(3*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4541, -9126, -13711, -18296, -22881?\n\"Answer: -4585*h + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + 435. Suppose 33*k + 336 = 40*k. What is the remainder when l is divided by k?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23361890 is divided by 943.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 9. Let c(s) = s**3 + 5*s**2 - s. Let n be c(-4). Solve j*d = -3*d - n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2472 + 5?\nAnswer: 5.2472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2791.041 + 2804. Let l = p - 13. Round l to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -2, 2\/13977?\nAnswer: 2\/13977","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 6*l - 6 + 4 in the form z + r*l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d (base 15) to base 6.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.33, -90\/7, 28.124 in ascending order.\nAnswer: -90\/7, 0.33, 28.124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 21502 = 325. Suppose -12*x + d = 373. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 3*o**5\/40 - 7*o**4\/24 - 7*o**3\/12 + 3*o**2\/4 - o + 28. Factor l(x).\nAnswer: (x - 3)*(x + 1)*(3*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 (base 11) in base 15?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 divided by 4?\nAnswer: 301\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**5\/15 + c**4\/24 - c**3\/6 - 4*c**2. Let a be h(1). Solve -2*v + v + a = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - 4 + 4)*(-3*n + 0*n + 2*n)*(-64 - 14 + 9).\nAnswer: -69*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -158294993\nAnswer: -791474965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f. Let j(h) = 233*h**3 - 28*h. Give 7*g(q) + j(q).\nAnswer: 233*q**3 + 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 49*q - 537. Determine x(7).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 360684 = -2*c, -105*c - 721384 = -109*c - 2*a. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1993615\/2 != -996809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 760823537 to the nearest integer?\nAnswer: 27583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((110\/(-8))\/(-11))\/((-9)\/(-36)). Solve -10 = j*x - 2*o, 3*x - 2*x = 3*o - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 9\/1 + -5. Factor -13 + 127*d**2 - 131*d**2 - 4*d**3 + y + 20*d.\nAnswer: -4*(d - 1)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3734954?\nAnswer: 2, 1867477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 318707401?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bpppbppppp. Give prob of picking 1 b and 3 p.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(10\/3))**(-1\/79)*(i*(i*i*i**(5\/11)\/i*i*i*i*i)\/i)\/i**(-8))**(-9) assuming i is positive.\nAnswer: i**(-104799\/869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*g - 178*g + 191*g.\nAnswer: -129*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -14. Let j = 105177 - 105168. Put j, -2\/9, -5, x in descending order.\nAnswer: j, x, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 15 = 83. Let d(y) = -y**2 + 15*y - 12. Let v be d(u). Let o(f) = -177*f + 4. Let c be o(v). What is c rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63389838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**2 + 2*h. Let x(c) = -6*c**2 - 3*c. Let l(v) = 6*m(v) + 5*x(v). Let y(u) = -2*u**2 + u. What is 6*l(s) + 17*y(s)?\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5*p + 32 - 14, -3*p + 57 = 2*a. Suppose 3*w = -2*k + 376, -4*w + 0*w + 493 = k. What is the remainder when w is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + 4*o**2 + 0*o**2 - 4*o**2 + 0*o**2 + 6*o**2 + (3*o - 3*o - o)*(o - 3*o + 0*o) + o**2 - 3*o**2 + o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + t - 2. Suppose -2*d - c = 3*c - 46, -d = -c - 14. Suppose -d = -5*x + 13. Calculate the smallest common multiple of s(1) and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 79, 1 in ascending order.\nAnswer: 0, 1, 3, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from {e: 2, b: 7, c: 1, d: 7, g: 1}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -89 - (4 - 46).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9890 divided by -4945.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 515, 2210, 5039, 9008, 14123, 20390, 27815, 36404?\nAnswer: 46163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)*k**(6\/5)*(k**(-1)\/k)\/((k*k**(5\/7))\/k))**(-4\/9))**32 assuming k is positive.\nAnswer: k**(33664\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/25)\/(g\/(g*g**(-1\/19))) assuming g is positive.\nAnswer: g**(13\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -36187 at least -36207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 (base 8) in base 12?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0 - -6) + -2. Suppose -3*c + 3*q = -510, 355 = -c + 3*c + 3*q. Suppose 3*l = -u + 283, -o*l + 2*u + c + 295 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 - 53*o**2 + 13*o**2 + 294 - 295 - 7*o to l*o**3 + s*o + r*o**2 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -93, -77, -55, -33, -17?\n\"Answer: -d**3 + 9*d**2 - 4*d - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2 - 10. Let l be (-17)\/((-357)\/6) - (-26)\/7. What is the units digit of (s*(-1)\/l)\/(2\/(-340))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l + 6. Let p(t) = 14*t + 17. Suppose -5*v - 20 = 0, 44*b = 46*b - 5*v - 54. Determine b*h(q) - 6*p(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 370 and 148.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -339684774 divided by 5909.\nAnswer: -57486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 8 = 5*q, 5*v - 16 = -2*q + 3*q. Let l = 102 - 101.9. Which is the second smallest value? (a) 5\/3 (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 12, 27, 42, 57?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23519 + 9666 = -199*k + 17987. Solve 14*d = k - 202 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -730 - -213069.1\nAnswer: 212339.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let k(p) = -1. Determine -k(t) + 2*n(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 71805061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 6. Let y be 0 - 0\/(-2) - z. Suppose o - s - 179 = -173, -4*o - 3*s + 3 = 0. Solve w + o*w - y = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7575*v**2 - 7567*v**2 - 182*v + 22726*v**2 - 7573*v**2 - 3 in the form a + u*v**2 + c*v and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/150 - -373\/300. What is the nearest to 0 in 0, c, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2624278 + 383?\nAnswer: 2624672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.42 minus -0.5?\nAnswer: 13.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(121)*-5 + (sqrt(121) - (sqrt(121)*-2 - sqrt(121))*3 - sqrt(121)) + sqrt(121))\/(1*sqrt(44)*-2).\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75652578 a multiple of 934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 311385.8 weeks in microseconds?\nAnswer: 188326131840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.535314 micrometers in meters?\nAnswer: 0.000002535314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 30 = 2*w, -s + 0*w - w = -5. Find the first derivative of 8*b + s - 1 - 1 + 0 wrt b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - z + 1. Let a(l) = -6*l**2 + 4*l - 5. Let b be 145\/35 + (-1)\/7. Let o be b\/6*6\/4. Let w = 1 - -4. What is o*a(j) + w*p(j)?\nAnswer: -j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**5 - f**5 + 6*f**5)*(-269 - 24 + 792 + 852 + 846).\nAnswer: 4394*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -653126 by 326563.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -763068 divided by -6.\nAnswer: 127178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**2 + 11*w**2 - 28*w**2 + 23*w**2.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 516 divided by 10?\nAnswer: 258\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 11*z + 17. What is the smallest common multiple of n(-12) and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 922698 - 922695. Find d such that -4*d + 7\/4*d**2 - 1\/4*d**b + 3 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151.1 + -151.1010182. Round z to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*j + 13 - 139. Suppose 5*q + 7 = 3*m, 5*m - j*q + 4*q = 15. Solve -m*f = -3 - 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 4) + 2 + -12 + 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -49. What is the remainder when 79 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*s - 17*s + 3580 - 1027 = 0 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 430 + -245. What is the third derivative of 212*b**2 + 19*b**3 - u*b**2 + 14*b**3 - 8*b**3 wrt b?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 295 = -19. Let f be 7310\/10 + (2 - 0). Suppose -5*b - o = -f. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*m - 1592 + 136 = -32*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rerrxxxjxuetxxxru. What is prob of sequence te?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 72.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.86 + -17. Let l = -0.16 + h. What is the third biggest value in -1\/3, 0.01, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.2 - 4.2. Let y = -12.2 + t. Round y to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 311 + -308. What is the closest to -9 in 3\/2, 3\/4, a?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 872 = 75*n + 323 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 11:05 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23664 divided by -1.\nAnswer: -23664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 51*u**2 - u - 2. Suppose 2*r + 2*m + 40 = 0, 22 = -3*r + m - 26. Let c = r - -16. List the prime factors of j(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132 + 139.75. What is h rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4781182, 4781181, 4781180, 4781179, 4781178?\n\"Answer: -s + 4781183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 100110001?\nAnswer: 100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4057197805.\nAnswer: 5, 811439561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*u - u - 26, 28 = 4*w + 4*u. Solve 0 = 6*y + 14*y + w*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and 166?\nAnswer: 22576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*g**2 - 8*g**2 - 16*g**2)*(0 + 4*g + 0) as n*g**3 + o + b*g + h*g**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1)*0\/(-3). Solve s = -5*x + 5*h - 25, 2*x + 4*h = -3*x + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, -0.3, 0.8, 4, -17328?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 116.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 0.1 (c) -13 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3779*f + 118814. What is k(32)?\nAnswer: -2114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 4 - 1 + 3 + (3 + 0 - 1)*(83 - 59*z - 83) in the form w + g*z and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qwqqwq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 96 + 228 = 0. Let d = 599 + -566. Calculate the highest common factor of c and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 2 - 2*s**2 + 7*s**2)*(40 - 40 + 17*s**2) + (1 + 3*s + s - 6*s)*(-2*s**3 + 6*s**3 - 3*s**3).\nAnswer: 83*s**4 + s**3 + 34*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(sqrt(128)*1 - sqrt(128) - sqrt(128) - sqrt(128)))\/(sqrt(256) - (sqrt(256) - sqrt(256)*-1)).\nAnswer: sqrt(5)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132*i - 15*i - 23*i)*(0*i + 2*i + 4*i)*(-1 + 1 + 2).\nAnswer: -2040*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22295304 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 40.23391l?\nAnswer: 40233.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812587 is divided by 418.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzzz when four letters picked without replacement from {z: 14, h: 4}.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*y - 110*y - 3*y**2 + (3*y**2 + 3*y - 3*y - 1 - 2*y**2 + 1 + (4 - 2 + 0)*(-2*y - y**2 + 2*y))*(-10 - 3 - 10) in the form u*y**2 + f*y + w and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 6 = m - v, -4*v = -4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -354.4 minus -2554?\nAnswer: 2199.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 0*h + 0*h**2 + 39 - 7\/5*h**3 - 3\/20*h**4. Factor m(o).\nAnswer: -3*o**2*(o + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 10:15 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 12*v - 30. Let t(b) = 36*b - 92. Let f(g) = 7*p(g) - 2*t(g). What is the derivative of f(m) wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 527 divide 7754144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5)\/6*(-6903)\/1950 and -99\/4256?\nAnswer: 21280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11058 + -11030. Calculate the remainder when 2630 is divided by t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 63\/(-30) - -2 - (-2704)\/(-160). Let m(o) = 2*o**3 + 4*o**2 - 6*o + 6. Let z(n) = 6*n**3 + 11*n**2 - 17*n + 17. Calculate u*m(w) + 6*z(w).\nAnswer: 2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**2 + v**2 + 4*v**2)*(-12 - 3 + 9)*(5*v + 0*v - v).\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 87 = -90. Let v(p) = -78*p**2 + 4*p - 5. Let f be v(b). Let k = 81 + f. Let g(u) = 2*u - 5. Let w(n) = 2*n - 4. What is k*g(h) - 3*w(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3401 - 44210\/13. What is the closest to 0.4 in 1.5, -2\/13, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 64. Let u be 34\/6 - (-16)\/f. Suppose 0*s - s + u*a = -80, s + 3*a = 72. Round s to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.27*-156479\nAnswer: -355207.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 984983?\nAnswer: -984984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 2*n**2 - n**2)*(96 - 96 + 36*n**2).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -3. Let r be -8*1\/g*4. Let x be (3\/2)\/(6\/r). Solve 5*v + x = 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 616943, 1233982, 1851021, 2468060, 3085099, 3702138?\n\"Answer: 617039*l - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-275)\/(-231) - (-1)\/7. Which is the second smallest value? (a) -2 (b) -56 (c) -0.4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348*y + 334765268 = -2011415932. Round y to the nearest one hundred thousand.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2215160478?\nAnswer: 2, 3, 47, 167, 15679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.05498 - -0.05498. What is the nearest to h in 3\/8, -2, -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-256)*76)\/(((-1)\/(-2))\/(138\/(-23))).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.411 + -0.111. Let p = 4.088 - -0.012. Let k = 4 - p. Which is the closest to k? (a) d (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**4 - 247*g**3 + 25*g**2 + 329*g + 36 wrt g.\nAnswer: 12*g**2 - 1482*g + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -67?\nAnswer: -20.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -77 * -80\nAnswer: 6160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 582901.\nAnswer: 5829010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4655 and 143355?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 113 - -3409.\nAnswer: 3522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 7) in base 9?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.28, -3, -0.4, 24, -7, 3\/2 in increasing order.\nAnswer: -7, -3, -0.4, -0.28, 3\/2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z**2 - 3*z - 2. Let f be r(1). Solve q = 3*n - 0 + 6, -5*n - f*q + 7 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9*p**2 - 12*p. Let g(v) = 7765*v. What is h(g(d))?\nAnswer: 542657025*d**2 - 93180*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28367712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 11483.\nAnswer: -4\/11483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4, 2*l + 6 - 18 = -d. Suppose -140 = -l*w - 75. Solve w = 5*f - 4*h, -2*f = -5*f + 4*h + 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + z + 18, 0 = 2*o - z + 6 + 15 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 16 = -3*l, 3*l = 2*g + 2*l - 12. Suppose 60 = g*d - d. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)\/l)\/l*l\/l**31)**(1\/42) assuming l is positive.\nAnswer: l**(-11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 20 = 4*p, 7 = 5*k - 4*p - 1. Suppose -k*j + 2*a - 206 = 0, -j + 2*a = 7*a + 57. Let s = j + 74. Calculate the remainder when s is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**4 + 48*l**3 + 3*l + 2 - 1 + 45*l**2 - 49*l**2 - 47*l**3 to the form y*l**2 + t*l + x + i*l**4 + m*l**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-7))\/((-15)\/105). Let f = q - -34. Suppose 296 = -f*u + 18*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 19*l - 2*l)*(-2*l + 2*l**2 + 2*l)*(-105*l - 200 + 200) to w*l**2 + g*l**4 + z*l + c*l**3 + i and give g.\nAnswer: -2940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 87 = -3*z, -7*i + 3*i = 5*z - 171. Let g = 32 - 18. Calculate the remainder when i is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13709986 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121891*f + 121924*f + 1122 = 0 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -364621 + -210?\nAnswer: -365131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129.1 - -129. Let j be (4\/(-6))\/(4\/(-72)). Let k be j\/(-66) - 46\/(-11). Which is the third biggest value? (a) k (b) 0.4 (c) x (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4\/12*(-43)\/(602\/84)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -204 + 55?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 - -0.01. Is 13 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:51 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, c: 4, p: 2}. What is prob of picking 1 c and 1 p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + ((1 - 1) + -7 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 95 = 33*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - 1)\/((-3)\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54*300\/(-6075)*(-21)\/(-2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*d = -9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5842 a factor of 472156282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) - 218*(-273)\/(-12). Let h = m + 2538. Is 18 a factor of 9\/15 - 1\/(15\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/143)\/(18\/(-117))*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2819033 is divided by 199.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 6, y: 5, u: 4}. What is prob of picking 2 u?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - f = 3*n - 3, 3*f + 5 = -n. Suppose 2*x + n = 3*x. Let c(d) = -1. Let w(j) = -3*j - 27. Let y(m) = -54*c(m) + 2*w(m). Give y(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.347 + 0.617. Which is greater: -8 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-11)*(0 - 2\/4). Solve 0 = 5*h - 5*f, -5*h - f + 5 + 1 = j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*u = 273*u - 280. Solve -28 = -4*l + 4*j, 10*l - 5*j - 17 = u*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/4978275 and 4\/675.\nAnswer: 44804475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54798 is divided by 12398?\nAnswer: 5206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1844665 + 142109 + 2*x - 193994.\nAnswer: 2*x - 1896550","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 10:23 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -31023312?\nAnswer: 31023321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 5*x**3 + 3*x**3)*(-3258*x + 1270*x + 991*x).\nAnswer: 997*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**(8\/5))\/(c\/c**(-3\/5)))\/((c*c\/((c*c**(3\/2)\/c)\/c)*c)\/(c*c\/((c*c*c**15)\/c))))**(-11) assuming c is positive.\nAnswer: c**(1947\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -30*l - 1909. Determine w(-69).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588447933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6c69 + 2?\nAnswer: 6c6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3674, -22964, -67360, -129514, -209426, -307096, -422524?\n\"Answer: -8879*o**2 - o + 12554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9850111 is divided by 211?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-271*m - 138*m - 840*m)*(0*m**3 - m**3 - m**3 + (-4 - 2*m + 4)*(4*m**2 + 0*m**2 - 5*m**2) + 3*m**3 + m**3 - 5*m**3).\nAnswer: 1249*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63069.\nAnswer: 3, 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.06 - -0.06. Let o = 7.3 - 4.1. Let c = o + q. Is c <= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 403 - 417 - (1 + 21).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.023, 2\/9, 10585?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9106.92 weeks in hours?\nAnswer: 1529962.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*24\/(-20)*(-10)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 1)*(-6 - 3). Suppose 3*v = 6*v - 3. Let j = 2 + v. Solve -j*m - 5 = -2*y, -4*m - i = -0*y + 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10032200 (base 4) to base 12\nAnswer: a028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1642, -6660, -15034, -26758, -41826?\n\"Answer: u**3 - 1684*u**2 + 27*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p - 10. Let n be x(-5). Suppose r - 4*i - 3 = 0, 2*r - 2 = r + n*i. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 377 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y - 1. Let l be j(-1). Is 6 a factor of (3\/2)\/(l\/(-72))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*p + 2*p = 0, 0 = -5*m + 5*p. Suppose 2*l = -4*v + 6, 4*l + 3 = -3*v + 5. What is the remainder when -30*((-1)\/v + m) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 248*g + 748. Let p be r(-3). Let s = -12 - -22. What is the smallest value in p, s, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -233 - -679. What is the derivative of 157*r**3 - 5*r**3 + 627 - g wrt r?\nAnswer: 456*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - -2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 16. Suppose k - 1 - 5 = 0. What is the remainder when (-11)\/(k\/(-4) + 7\/14) is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 175*a**3 - 1234615*a**2 - 70550*a = 0.\nAnswer: -2\/35, 0, 7055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -483887025 divided by -1\nAnswer: 483887025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 5, y: 1, n: 3, l: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8194.69885 - 0.00136\nAnswer: 8194.69749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*m - 333 = 0, -4*v + 437 = 3*m - 8*m. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1152 rounded to the nearest ten?\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23542134 to the power of 1\/3, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 1\/12*i**4 + 0 + 0*i**3 + 0*i**2 + 2*i. Let x(p) = 19*p - 8*p**2 - 19*p + 6*p**2. Calculate m(x(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-245)\/(-28)))\/(20\/14)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 6, l: 2, y: 3, a: 2, t: 1, i: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3682 is divided by 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -67695\nAnswer: -1\/13539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -74499*q - 148969. Calculate o(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25373 and -155.509254?\nAnswer: 25217.490746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1933497 and -13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -99, -148, -199, -252?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**4\/24 - u**3\/6 + 7*u**2. Suppose -3*a = -0*a. Give d(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -348 or -340?\nAnswer: -348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -53401010 at most as big as -53401008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 1882*y**4 + 7*y**3 + 579*y + 14. Let p(a) = -627*a**4 - 2*a**3 - 193*a - 4. Let l(q) = -7*p(q) - 2*t(q). What is the second derivative of l(g) wrt g?\nAnswer: 7500*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2. Let h(k) = -13*k. Let a(o) = 18*o - 11*o - 19*o. Let n(u) = 3*a(u) - 2*h(u). What is n(f(i))?\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 874134195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4293*s = 41525 - 187487 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -441121355 (base 6) to base 8\nAnswer: -36075047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*n + 6. Let o be n + -2 - (-2 - -7). Let q be o\/(-39) - (-126)\/26. Solve 2*v + 10 = -q*z, z = -2*z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 676.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(9\/(-6)) + (-1010)\/(-15). Let i = t + -73. Put i, -20, 2, 1 in decreasing order.\nAnswer: 2, 1, i, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.62 - 0.7. Let i = q - -10.08. Let l = -9.82 + i. What is l rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1825 - 2303 - 24566*x**3 + 4128)*(6*x - 2*x - 3*x).\nAnswer: -24566*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232543 (base 8) to base 2.\nAnswer: -10011010101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138 - (-124 - (-249 + 18)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/15)\/((-84)\/126*3\/5). Suppose -2*s - 2*s = -4. Let v be ((-12)\/(-2)*1)\/s. Solve p = 4*d - v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 + 93*w - 7. Let t be r(-23). Let y be t\/160*(-2)\/(-3). Sort 10, 0.2, y.\nAnswer: y, 0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12609*a**2 + 19932*a**2 + 18387*a**2 + 19693*a**2.\nAnswer: 45403*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*y + 10. Solve 0 = 2*t + x - y, -4*x - 18 = -2*t - 8*x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23\/4 + ((-183)\/(-610))\/((-6)\/(-5)). Let i(d) be the third derivative of -d**5\/60 + 5*d**4\/24 - d**3\/3 - d**2. Give i(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 98*i**2 + 26*i + 163. Is d(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6251 - -26873. Is r a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -531, -2213, -5079, -9159, -14483, -21081?\n\"Answer: -5*s**3 - 562*s**2 + 39*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27463471 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*m - 802 = -188*m + 827. Solve -4*a - u = -25, m*u = a - 151 + 161 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7832510729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*u - 114*u**3 + 359*u - 123*u.\nAnswer: -114*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 4*f**2 - 2*f**3)*(-24*f - 7*f + 2*f - 163*f).\nAnswer: 384*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1869*o**2. Let j(q) = 2*q**2. Determine j(m(i)).\nAnswer: 6986322*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 4*f + 1460 - 1367, 8*l + 28 = -4*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**3 - 4*k**2 + k - 2. Let v(d) = 8*d**3 - 7*d**2 + 3*d - 3. Let m(q) = 5*h(q) - 3*v(q). Determine m(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-6)\/(-3))*(-1)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 2. Let g(l) = -3*l + 12. Calculate g(c) + 5*r(c).\nAnswer: -8*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d - 64. What is the remainder when d is divided by (4\/(-6))\/((-2)\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 - (8 - (-66 - -7)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 38*r + 1396. What are the prime factors of l(0)?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by -31?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*7\/(441\/(-28))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**16)\/v*v)\/(v*v**16))\/(v**(-12)*v*v**(1\/24)) assuming v is positive.\nAnswer: v**(263\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t - 3*t + 11*t.\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**2. Let l(a) = 6*a + 6*a - 12*a - a**2. Give j(l(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(500) - (-4 + 1*sqrt(5) - sqrt(5)).\nAnswer: 2 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-13 - (-21 - -124)) + 25.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.25572 millilitres in litres?\nAnswer: 0.00325572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 13 = v - q, 3*q + 7 = 4*v. Suppose v*n = 3*p + 134, 3*n - 132 = -n + 2*p. Calculate the remainder when n is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5*b = -2 + 7, -2*s - 20 = -4*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54182568?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 751.\nAnswer: -750.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2\/5 + 57099456*z\/5 - 271695656291328\/5 = 0. Calculate z.\nAnswer: 9516576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 6931, -1\/6 in decreasing order.\nAnswer: 6931, -1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/16 and (38\/(-110))\/(14\/175)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9\/(-27) + (-68)\/(-6) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37, -93, -75, 107, 543, 1323, 2537, 4275?\n\"Answer: 15*a**3 - 53*a**2 - 2*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0, 16, 109\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 2751 = -13*a. List the prime factors of a.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 6:05 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -24. Find the third derivative of -3*k**5 - 13*k**6 + 3*k**5 + o*k**6 - 5*k**2 wrt k.\nAnswer: -1080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, i: 3}. What is prob of sequence ggg?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 440742*i**2*w**3*z**3 - i**2*w**2*z - 3*i*w**3*z**3 + i*w**3*z - i*w**2*z**2 + 9*i*z - 16*w**3 + 13*w**2 wrt z?\nAnswer: 2644452*i**2*w**3 - 18*i*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 567397233 to the nearest integer?\nAnswer: 23820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003802555353 rounded to six decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p + 3. Let r be t(-4). Let i = 0.03 - -4.97. Let w = -9 + i. Which is the third biggest value? (a) w (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (-3 + (sqrt(320) - -1*sqrt(320) - sqrt(320)) - (-2 + sqrt(320)*1) - (-2*sqrt(320)*-2 + sqrt(320) + 0)))*6)**2.\nAnswer: 8640*sqrt(5) + 288324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.2.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 12*m**2 + 10*m - 9. Let k be n(-11). Suppose 9 = -k*u + 5*u. What is the common denominator of (u\/(-24))\/((-1)\/(-49)) and 67\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5044 <= -6467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/((-462)\/(-220) - (-6)\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 19. Let w be r\/(-26) - 16\/104. Solve -a - 2 + 0 = w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 581.6236t?\nAnswer: 581623600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - x**2 - 3*x + 101. Determine y(0).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6 - 175\/(-15). Let u = -13 + n. Which is bigger: -8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/7 (b) -2\/79 (c) -2\/365\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 41202460 (base 7) to base 4\nAnswer: 31021121113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 15*t**2 - t - 25. What is i(-15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**5 + 5*n**4 + 50*n**3 + 40*n**2 = 0 for n.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28447*m**4 - 12*m**3 + 4055*m**2 + m + 12 wrt m?\nAnswer: 682728*m - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s**3 + 12*s**2 - 48*s + 16 = 0. What is s?\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101584389.\nAnswer: 1101584389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.711 + 0.099. Let m = -0.71 + d. Which is smaller: 62 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18.5, 4, 2, -12 in increasing order.\nAnswer: -12, 2, 4, 18.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 11:31 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 - v**3 + v**3 + (-2*v**2 + 2*v**2 + v**3)*(3 + 1 - 3) + 2*v**3 + 0*v**3 - v**3 + 8*v**3 + 7*v**3 + v**3.\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*p*p*p**(2\/21)*p*p))\/p**(-2\/19))\/(p*p\/(p*p*p*(p\/(p**(-2\/3)*p)*p)\/p*p)*p*p*p*p**(2\/9)) assuming p is positive.\nAnswer: p**(-6638\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -2\/7 (c) -7 (d) 95 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.89 + -0.11. Let a = 16.6 + f. Let i = a - 6.5. What is i rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2184962 is divided by 312122.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.11 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 14567*k - 218620. Calculate s(15).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -103*d**2*f**3 - 2*d**2 - 3*f**3 - 18*f wrt d?\nAnswer: -206*d*f**3 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 - 3427825738455.\nAnswer: -3427825738472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -158.4 and -1?\nAnswer: 157.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0*y + y - 119, -3*u + 4*y + 53 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 287, 653, 1167?\nAnswer: 1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q**5 + 3162*q**4 + 34768*q**3 - 31536*q**2 - 84640*q - 32736 = 0 for q.\nAnswer: -11, -2\/3, 2, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-54)\/(-12))\/(-9))\/((-4)\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25160\/2157 or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2424 and 53\/7272?\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.26 + 0.44. Let m = t + -0.68. Which is the closest to m? (a) -1 (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430059, 430055, 430069, 430107, 430175, 430279, 430425, 430619?\nAnswer: 430867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 1:04 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 9:33 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 279742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 291687 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1656 = 18*u + 18*u. What is the remainder when 32 is divided by (((-345)\/u)\/(3\/4))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v. Let c = 85 + -80. Let o(u) = 19*u - u - c*u - u. What is o(x(a))?\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(252) - (sqrt(252) + 3)**2) + sqrt(252) - (((sqrt(35)*2 - sqrt(35))\/sqrt(5))**2 + sqrt(7)).\nAnswer: -268 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 207, 281, 335, 363, 359?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n**3 - 7*n**2 - 46. Let w(k) = -15*k**3 - 15*k**2 - 94. Let y(c) = -13*a(c) + 6*w(c). What is y(0)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3700773239 to the power of 1\/2, to the nearest integer?\nAnswer: 60834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 - ((-6 - -1) + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15613529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*8\/(-192)*5\/((-90)\/(-243))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) - ((4*sqrt(68) - sqrt(68))*-1 + sqrt(68) - sqrt(68))) + sqrt(68) + -4*sqrt(68)*5)\/((sqrt(100) + sqrt(100)*-2*5)*4).\nAnswer: 7*sqrt(17)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190103 is divided by 91116?\nAnswer: 7871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -5.4 (c) -3 (d) 1\/2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147 a factor of 3499294236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*y + 4 = -6, -2*y = h - 5. Suppose -h*v = -16 - 4. Solve -v*p + 4 + 0 = -3*j, -3*p = -j - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22879*z**3 + 40889*z**3 - 20012*z**3.\nAnswer: -2002*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/((r**(-6\/7)\/r*r*r)\/r))\/r)**18 assuming r is positive.\nAnswer: r**(234\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13578987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0853 + -0.1094. What is y rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 74*w**3 + 2*w**2 - 5*w + 73*w**3 + 1 + 1 + 109*w**3 - 262*w**3. Let s(n) = 12*n**3 - 5*n**2 + 11*n - 5. What is 5*q(k) + 2*s(k)?\nAnswer: -6*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 14 + o**2 - 12*o - o**4 - 3*o**2 + 3*o**2 to the form d*o**3 + m*o**2 + f*o**4 + a + u*o and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 111 times -13.38796\nAnswer: -1486.06356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -20.14 * 0.72\nAnswer: -14.5008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, o: 3, m: 1, k: 4, v: 7, p: 1}. Give prob of picking 1 k and 1 b.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017427037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -37. Suppose 3*b + b - 40 = 0. Let -b*y**3 - 4*y**4 - 2*y**5 + 4*y**2 + 0*y**2 - 4*y**3 + q*y**5 = 0. What is y?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1210393*r**2*u**3*w**3 - 2*r**2*u**3*w**2 - 6*r**2*u**3*w - 13*r**2*u*w**3 - 5*r**2*u*w**2 + 2*r**2*w + r*u + 41294*u*w**2 wrt w.\nAnswer: 7262358*r**2*u**3 - 78*r**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 + -57. Suppose 4*l + 34 = 5*l - 4*q, -3*q = 6. Let h = t - l. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/9 - 2)*5*12\/(-10). Solve 0 = -u*y - 4*z - 8, 27*z - 25*z + 7 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-6)\/14*14\/(-21)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 88089433?\nAnswer: 5\/88089433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kldcwbb. Give prob of picking 1 b and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10943*j - 430 - 10935*j + 21874*j)*(2*j**2 - 3*j**2 + 6*j**2) to a*j + x*j**3 + b + n*j**2 and give n.\nAnswer: -2150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*f - 632*f = 2*l + 25, -10*f = -3*l - 46 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 6. Let k(c) = 7*c**2 + 7*c - 6. Let y(f) = f**2 + f - 1. Determine g*y(x) - k(x).\nAnswer: -2*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**2\/2 + 2*h + 10. What is a(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 39981.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 10*z - 208. Let g be l(21). Solve -y + 4*j - 3 = 0, 7*j - g*j = -5*y + 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -2.776\nAnswer: -7.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -53*h**2 + 41*h + 44. Let i(v) = 362*v**2 - 286*v - 308. Let n(t) = 6*i(t) + 41*u(t). What is n(-32)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - 2*w + 4*w)*(-5 + 7 + 7)*(-179*w + 724 - 724) - 3*w**2 + 2 - 2 to the form h + b*w + t*w**2 and give t.\nAnswer: -3225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222266.\nAnswer: 2, 11, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o. Let i(n) = 473*n + 8. Let l(x) = -2*i(x) + 6*j(x). Is 20 a factor of l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/325 + (-12)\/(-52).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0206763598 to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -7453 to the nearest one hundred.\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 154?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219216664.\nAnswer: 2, 53, 113, 25447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12\/5, -117, 19.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**3 - 5 + 0*k**2 + 6*k**2 - 3*k**3 + 4*k. Let f(y) = -2*y + 1. Let r be f(3). Let s be z(r). Solve 9 + s = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251431 (base 6) in base 2?\nAnswer: -10000110111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4808, 4844, 4912, 5018, 5168, 5368, 5624, 5942?\n\"Answer: h**3 + 10*h**2 - h + 4798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 4. What is the tens digit of (-1)\/3*(-36 + u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 65*a - 868. Let g(u) = 127*u - 2605. Let z(j) = 4*g(j) - 11*y(j). Differentiate z(p) wrt p.\nAnswer: -207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-59)*(0 + 6\/27). Let r = i + 124\/531. Which is the nearest to 2\/3? (a) -0.03 (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041018 rounded to 3 decimal places?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p + 18 - 94 = 0. Solve 0 = p*r - 7*r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-43 - -10)*(-9)\/153. Let s = -5007\/31 - -683835\/4216. Let d = g + s. What is the common denominator of 23\/38 and d?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/224*1\/5. Let f = 17\/56 - j. Let v = -1.1 - -1.6. Which is the smallest value? (a) f (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - -4027?\nAnswer: 4016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/261492 and 61\/1310232?\nAnswer: 370795656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 + 3*p**3 - 27*p**2 - 27*p.\nAnswer: 3*p*(p - 3)*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -8 + 2 - (-4 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-27)*(-22)\/44.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.96937 millennia in centuries?\nAnswer: 259.6937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(75) + sqrt(75) + -2 + (sqrt(75) - (sqrt(75) + 1 - sqrt(75))) + -4 - (4*(-3 + (sqrt(75)*1 + sqrt(75))*1))**2).\nAnswer: -3860*sqrt(3) + 19804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evviivvvvvuvrieveeve. Give prob of sequence vi.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/66 + (-114162)\/(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 q when four letters picked without replacement from {d: 1, q: 17, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19638 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 795 + 680 + 10 = 29*h for h.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 2*a - 28 + 16)*(2*a - 2 + 2).\nAnswer: -4*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**5 - 39*t**3 + 187*t wrt t.\nAnswer: 40*t**3 - 234*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4704?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v*v**24))))**2\/(v**(-11\/6)\/v*v\/(((v\/(v\/v**(-29)))\/v)\/v)))**(2\/127) assuming v is positive.\nAnswer: v**(-463\/381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 greater than or equal to 172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5418 + 966 = 12*z. What is the greatest common divisor of 28 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328591613.\nAnswer: 7, 2789, 16831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 4*q + 14*q**2 - 6*q**2 - 20*q + 13*q.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 + -2488\/19. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49.032 + 6.84. Let v = q - -42. Let x = v - -0.092. What is the closest to x in 0.4, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l**3 - 13*l**2 - 14*l - 287. Let d be g(11). Which is smaller: -9999 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.47 - -5.47. Which is the biggest value? (a) 2\/11 (b) s (c) -4\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 - 227 = -2*s - 4*d, 0 = 4*d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 + 3*l**3 - 4*l**3 + (4*l**3 - l**3 - l**3)*(-3 - 4 + 4).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 301*a - 25. Is z(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5303\/9702 - 1\/882. Let k = -465546\/406285 - -3\/7387. Let r = b + k. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(110)*2*-3)\/((1*sqrt(80) + sqrt(80))\/sqrt(8) + (sqrt(10) - sqrt(1440)*-1)).\nAnswer: 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 283047, 565951, 848857, 1131765, 1414675?\n\"Answer: g**2 + 282901*g + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49062 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0. Suppose 5*n + 5*n + 11 = -9. What is the third smallest value in -1, v, 5, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6369*z + 16. Let n be h(7). Suppose 5*u + 50594 + 16301 = 3*f, -2*f = -u - n. Round f to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 152 + -47. List the prime factors of n.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a + 5*h - 164090 = -43*a, a + 6*h = 32808. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648*n**2 + 2784*n**2 - 716*n**2 - 592*n**2 - 592*n**2 + 1.\nAnswer: 236*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*((-68)\/6)\/(-1). Let o = q - 70. Let z = -17 - -14. Put z, o, 8 in descending order.\nAnswer: 8, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17\/28 - 6\/7. Let t be (0 - 2)\/(-1) - 0. Which is bigger: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = 21. Suppose 8786 - 9094 = -7*a. Calculate the least common multiple of y and a.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, i: 3}. Give prob of sequence vivv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q - 2. Let i be f(2). Let x be i\/4 + (-200)\/52. Which is the nearest to 0.1? (a) 2 (b) 0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 1:10 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10245690001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29875 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11498)\/4*178561\/780. Let w = o + 3290312\/5. Let b = w + 1\/312. Calculate the common denominator of b and 99\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170689395599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.6 - 4.8. Let w = -0.2 - -0.1. Let p = l + w. Which is the nearest to p? (a) -3\/5 (b) 2\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -133, 3, -3, -2683 in decreasing order.\nAnswer: 3, 1, -3, -133, -2683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/2 and 31\/171718?\nAnswer: 171718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 30875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -111101110111?\nAnswer: -111101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 11419?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) 1088 (c) -4 (d) -0.4 (e) 0.252\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66556679 is divided by 7459?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.637 times -9.2?\nAnswer: -907.4604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3)\/(m**(-3)*m))**(-10\/9))**(-35) assuming m is positive.\nAnswer: m**(-350\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12b (base 13) to base 16\nAnswer: -ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104329\/417284 + -2\/104321. Let n = -194\/3 + 66. Which is the closest to v? (a) 3\/2 (b) 5 (c) n (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20022 (base 3) in base 9?\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -261*a**3*k**3 - 6*a**3*k - 931*a**2*k**3 wrt a?\nAnswer: -1566*k**3 - 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.149 - 0.049. Let u = 2 - t. Sort -0.4, 4\/9, u.\nAnswer: -0.4, u, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = n - 2*m + 19, 2*n = -2*m + 184. What is the units digit of (-4)\/5*(-3 - n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/2)\/5*-2. Suppose 0 = -4*l + 7 + 9. Suppose -l*i = 1 - 9. Which is the nearest to i? (a) 0 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4) + (-117)\/(-52). Let q be (2 - 1)*-1 - -6. Solve -25 = -q*b + 3*s, -b - 15 = -4*b + l*s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52200 + 52201. Let w(p) = 9*p + 1. Suppose -1 = 2*l - 3. Let k be w(l). Put 5, -1, k, i in increasing order.\nAnswer: -1, i, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2\/3*p**5 + 0 + 0*p - 4\/3*p**3 + 0*p**2 + 2*p**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 13*n**2 + 12*n + 9. Let q be v(-12). Let b(u) = -8*u - 3. Let w be b(-6). Calculate the highest common factor of q and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 10\/9, -2, 0, -1\/4, -8\/19?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934809525.\nAnswer: 3, 5, 13, 106531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 + 10*p**2 + 13*p - 10. Give r(-6).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 a, and 1 u when three letters picked without replacement from avuhabuasvvbauhhhuav.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5752039*s = 5752045*s - 5*q + 44, 5*s + 5*q = -55 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62733 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2. Let w(t) = 6*t**2 - 4*t + 4. Let y(n) = n**2 - n + 1. Let h(g) = -5*w(g) + 20*y(g). Give h(a(z)).\nAnswer: -90*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33270.\nAnswer: 2, 3, 5, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 583, 1204, 1863, 2560, 3295, 4068?\nAnswer: 4879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 w when four letters picked without replacement from mmeoemeeeevvweeeeemm?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 10 = 0, -4*x = -x - 5*z - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10, v: 2}. Give prob of sequence vyyv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -812*q**2 - 5 + 1629*q**2 + 2*q - 818*q**2 + 56 + 9250*q**5 wrt q?\nAnswer: 555000*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7696*z + 7692*z = -8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 604994925 divided by 5\nAnswer: 120998985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 504296924*p**5 + 73205516*p wrt p.\nAnswer: 10085938480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 3 + 0)*(3 + 2 - 4) + 1 + 4 - 2 + 4 + 4 - 6 + (-4 + 0 + 6)*(3 + 3 - 4) - 2 + 5 - 4)*(28*k + 18*k - 62*k)*(0 - 4 + 7) as h + x*k and give x.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6440813?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 506.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/455902785 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**8\/20160 - m**7\/2520 - 7*m**6\/720 - 32*m**5\/15 + m**2 + 24. Let i(a) be the third derivative of t(a). Give i(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.102 - 4.898. Let r = 0.5 + 4. Let q = r + x. Which is the nearest to 0.1? (a) q (b) -5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqiqqqqqqqq. Give prob of sequence qq.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rilihrqq. What is prob of sequence rqlq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*i - 3*i - 174*i = -8474. Calculate the remainder when 1479 is divided by i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -565*o - 2655. Calculate q(-5).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2*f = -10 + 22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2213030 + -2031?\nAnswer: -2221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - (-8719638)\/54) + ((-129)\/27 - -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftunx. Give prob of sequence fn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -6, -1\/8, 1 in decreasing order.\nAnswer: 7, 4, 1, -1\/8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -6 + (-13 - -30 - 11 - -9).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 times -0.3?\nAnswer: -136.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*s + 65*s + 35*s)*(-s**3 - 2*s**3 + s**3)*(-22 - 4 - 7).\nAnswer: 2574*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 661101 (base 7) in base 11?\nAnswer: 79979","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/3)\/(((-19)\/1)\/57).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - (1 + -6 + -1). Solve a = 2*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awzzzqqqsqz. Give prob of sequence qz.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}