{"text":"Question: Suppose -5*a - 4 = -v, -2*v + 0*v = 5*a + 52. Let x be (-30)\/12*v\/10. Suppose s - 2*s = -x. Calculate the smallest common multiple of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -276 - -4053?\nAnswer: 3555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3*(2 - 8\/6). Suppose -y = -5*l + 32, 5*l - 22*y - 116 = -9*y. Find the first derivative of 22 - l - 9*h - d - 10*h wrt h.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/5  (b) 1  (c) 6\/11  (d) -1\/10  (e) -8.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.180044374 rounded to five dps?\nAnswer: -1.18004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vugw when four letters picked without replacement from vzwwugwwwwgvgw?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0055503 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7976493 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -327 - -335. Calculate the lowest common multiple of 14 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 8 - 7 + 28*q**2.\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 3*k - 2308 + 4594 - 2296. Determine t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17703054 to the power of 1\/2, to the nearest integer?\nAnswer: 4207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 0.33  (b) -5  (c) -0.01  (d) -3\/110  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-1*sqrt(45))\/(sqrt(144) - (1*sqrt(144) + sqrt(144))).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**3\/7 - 3950*t**2\/7 - 278898*t - 278334.\nAnswer: -2*(t + 1)*(t + 987)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(833) + 2 + (sqrt(833) - (sqrt(833) + 4)) + -5)**2.\nAnswer: -98*sqrt(17) + 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (13 - 61721\/22)*-2.\nAnswer: 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/(-5))\/(238\/4165). Let m(s) = 2*s - 61. Determine m(k).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -2, -0.2545, 0, 1.4 in increasing order.\nAnswer: -2, -0.2545, 0, 1.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6907601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 195\/2 or 97?\nAnswer: 195\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 2:30 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve y**2\/6 + 35*y\/6 - 19 = 0 for y.\nAnswer: -38, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -947012\/19 or -49844?\nAnswer: -947012\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/(-10)*317\/(-2219).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 324036.4 * 5.\nAnswer: 1620182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 556*f**2*h**5 - 19*f**2*h + 1103*f*h**3 - 3*f - 896832*h wrt h?\nAnswer: 11120*f**2*h**3 + 6618*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9127170.\nAnswer: 2, 3, 5, 13, 29, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**2 - 2*k + 161. What is y(0)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2610.766 weeks to hours.\nAnswer: 438608.688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x**3 - 7*x + 2. Let l be u(2). Let m be 22 + 0\/(4\/2). Let q = m - l. Solve -3*f - 3*w = q, f = -f - 4*w - 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*r = -23*r + 29 + 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(1539) + 1))**2 + (0 + sqrt(19) + 2)**2*-5.\nAnswer: 430*sqrt(19) + 38385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**4 + 42*h**3 + 114*h**2 + 110*h + 36.\nAnswer: 2*(h + 1)**3*(h + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3 + 5 - (-10)\/(-4))*0. Suppose -2*p = 5*h - 4*p + 3, -3*h - p = -7. Let d be 2\/h - l\/(-2). Solve -d*i = 2 + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 86*x - 88*x + 14200 = 0, 5*u - 70896 = 3*x. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -126 + 106.4. Let s = 20 + d. Let w = -32 - -35. What is the biggest value in s, -0.3, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 3*x - 38. Find the common denominator of x and -29\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - b + 2*z - 8, -2*z = -5*b - 8. What is the closest to b in -0.2, -6, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -113434, -113388, -113332, -113260, -113166, -113044?\n\"Answer: b**3 - b**2 + 42*b - 113476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 - (28 - (-54 + 128)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -94.1 * 43281\nAnswer: -4072742.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 375799 is divided by 286.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 1*sqrt(3) + -5 + 0 + sqrt(72)\/sqrt(24) + -4.\nAnswer: -5 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -452 divided by -114500.\nAnswer: 113\/28625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 3*t + 29, t = -t + 3*h + 9. Sort t, 4, -4, -2 in descending order.\nAnswer: 4, -2, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 23.2262197 to 2 dps.\nAnswer: 23.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 258, -2\/3, 1\/6 in descending order.\nAnswer: 258, 1, 1\/6, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 3883746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -376574 >= -376562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 0*h**3 - 2*h + 6*h**3 - 8*h**3 - 6 + 3*h**3 + 5*h**2. Give v(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57816 > 57782?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -d080 + -1642?\nAnswer: -e6c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.33 + -3.33. Which is the closest to 2?  (a) -0.02  (b) 4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 346661.3 millennia?\nAnswer: 34666130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -195892320 divided by -1\nAnswer: 195892320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -70090 divided by -4.\nAnswer: 35045\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -65 + 34. Let a = b - -30.99999911. Round a to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.21, -4, -0.4, -2\/9, 59 in descending order.\nAnswer: 59, -0.21, -2\/9, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1186*2\/(-4 + 0). Suppose 5*x = -108 + v. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 - 21200001100101?\nAnswer: -21200001100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1852 is divided by 1418.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -64 - (91 + -71 + -98).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 407953076 and 302?\nAnswer: 407953076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.18 + 0.38. Let q be (2\/(-24))\/(4\/(-12)). Which is the nearest to n?  (a) 1\/2  (b) q  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 11, i: 9}. What is prob of sequence oioi?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -36*j**2 - 283*j + 41. What is f(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 66619228811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 141992490816.7 from 0.\nAnswer: -141992490816.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the third derivative of p**8\/336 + 428*p**7\/105 + 5*p**4\/24 + 125*p**3\/6 + 1566*p**2. What is the second derivative of o(n) wrt n?\nAnswer: 20*n**3 + 10272*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 280 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -42165425 minus 2.1597?\nAnswer: -42165427.1597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 18 = -z, -10 = 4*w - z - 4*z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xjjjwxxjmxjqxh. Give prob of picking 1 x, 1 q, and 1 m.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 - -10. Let m = -807757\/17 + 47515. Which is the nearest to 2\/7?  (a) j  (b) m  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2688.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3d9 + 798?\nAnswer: b71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -34.353, 1, -0.2, -0.5, -5, -0.11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 187\/27418560 and -79\/2.\nAnswer: 27418560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 22763, 45532, 68291, 91034, 113755?\n\"Answer: -o**3 + o**2 + 22773*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a - 22*a = 32*a - 5040. Calculate the greatest common factor of 3056 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5999 to the nearest one hundred.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 4808141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5 - 3)*(3*l**2 + 0*l**2 - l**2)*(-3054 - 1362 + 169).\nAnswer: 16988*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:00 AM and 10:19 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 84 and 4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 AM and 10:27 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 - 13*x**2 - 14*x - 22. Let d be i(-12). Solve -1 = -u - w, -2*u + 5*w = d*w - 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, g: 1, o: 3, k: 1, a: 1}. Give prob of sequence gcca.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -3*c**2 - 3*c + 82. Calculate b(-9).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 593616287?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3219 + 7048. What are the prime factors of p?\nAnswer: 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ynn when three letters picked without replacement from {n: 2, y: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 AM and 4:49 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 - 2*g + 1. Let f(n) = 18*n + 12. Let r(s) = f(s) + 3*l(s). Factor r(x).\nAnswer: -3*(x - 5)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35, -104, -205, -338?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-20*y - 39*y - 47*y + 11*y)*(0 + y + 0 + (-3 + 1 + 4)*(-12*y - 18*y - 21*y)) as b*y**2 + t + s*y and give b.\nAnswer: 9595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**6*q**(-6))\/(q\/(q**1\/q))**(8\/15))\/(q**(-1)\/(q\/q**(-1\/8)*q)*(q*q**(-6))\/(q\/(q\/q**(-5))*q)) assuming q is positive.\nAnswer: q**(431\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/(-5) + 27 + -23)\/(204\/1530).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 0.0526\nAnswer: 0.1052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 95580*y + 1816229. What is a(-19)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*y = 63*y - 456. Solve 5*h - 2 = x, 41*h = y*h - 5*x + 18 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 60\/(-18)*(-18)\/10. Let v(j) = 2*j - 4. Let t be v(w). Let p be t + -5 - (-26)\/(-10). Do -4 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1567129*y**2 - 35*y + 66408 wrt y?\nAnswer: 3134258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 10*g - 40. Let p(k) = k - 13. Let a(t) = -l(t) + 5*p(t). What is a(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -736 - 29 = 3*q. Let k = 1269 + q. List the prime factors of k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 39 - 37 - 81*t in the form x + p*t and give p.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 456 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 + -4. Let k = q + 10. Solve 1 + k = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5 - -7 - 7) + (-13)\/(-1). Suppose p + b*p - 589 = 0. Is 31 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 4*b**5 + b**3 - 1. Let w(g) = -4883*g**5 - 16*g**3 - 2643*g + 15. Let u(t) = -w(t) - 16*z(t). Find the second derivative of u(k) wrt k.\nAnswer: 96380*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/(a**(-5)*a))*a)\/a**(-1\/8) assuming a is positive.\nAnswer: a**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1407 is divided by 202?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -3*a + 6. Let y be -4 - (6 + -4)\/(-1). Let o(x) = -7*x + 11. Let p(z) = y*o(z) + 5*f(z). Calculate p(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((5\/(-25))\/((-7)\/(-18)))\/(6\/(-28))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 8*y**3 - 9*y**2 + 4*y + 15. Let z(n) = -7*n**3 + 8*n**2 - 4*n - 13. Let s(g) = -6*d(g) - 7*z(g). Calculate s(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 664?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.328454991 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12177 - 12177. Solve 27*d - 5*h - 8 = 23*d, 2*d + 2*h + 14 = w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6833454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -15*m. Let c(z) = 15*z + 1. Determine 2*c(n) + 3*i(n).\nAnswer: -15*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8776 is divided by 2917?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -130 divided by 26\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2670 is divided by 170.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -213 + 219. Let w(g) = g**3 - 5*g**2 - 8*g + 6. Calculate w(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 23 = -x + 8, 2*x + 4*o = 26. Suppose 2*d = 29 + 41. Suppose d*j - 34*j = 11. Calculate the remainder when x is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 - 3*d**2 - 30*d + 8. Give m(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.43595878 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5572)\/56 - (-1)\/2. Let p = j + 545. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 39, -2, 1, -5 in ascending order.\nAnswer: -5, -2, 1, 7, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.8 - -5.8. Let z = -8745 - -8745. Let i be 2\/((3 + 0)*-1). What is the nearest to i in c, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.6, -1\/8, -13\/4, -25, -2 in decreasing order.\nAnswer: -1\/8, -0.6, -2, -13\/4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 4*t**2 - 191*t + 1982. What is u(32)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -78\/529?\nAnswer: -78\/529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3340491960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 255042 and 54.\nAnswer: 255042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 10830845533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1430548 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20318723.\nAnswer: 17, 167, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of z**6\/120 - z**5\/60 - z**4\/12 - z**3\/6 - 3*z**2. Determine r(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 - -12.15. Let j = 0.15 - z. Let b be 1\/((28\/(-8))\/7). What is the nearest to -0.1 in j, -2\/7, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -0.00875, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 1132 = -5*k, 0 = -499*c + 494*c - 20. Which is smaller: k or 2005\/9?\nAnswer: 2005\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-6))\/(25\/(-15))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -157*p - 13. Does 18 divide h(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**4 + 2565377*u**3 + 2193721427625*u**2 + 625304936887671875*u + 1250601098910156250.\nAnswer: (u + 2)*(u + 855125)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.05174482 to three dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -165\/509, -0.084, 1, -2\/13 in increasing order.\nAnswer: -165\/509, -2\/13, -0.084, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 36, 1\/7, 3, -44?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14*(126\/(-36) + 6)*1\/(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -17. Let n(x) be the first derivative of -2*x**2 - 3*x + 1. Is n(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -447*h**6*k**2 - 975*h**3*k**2 - 2*h**2 + 159845*h*k**2 wrt h.\nAnswer: -53640*h**3*k**2 - 5850*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (35*u**2 - 220*u + 220*u)*(0 + 0 - 2)*(3*u - 2*u + u)*(0*u + 2*u + 0*u) in the form g*u**3 + p*u**4 + f*u + n + t*u**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -3*j**4\/7 - 8367*j**3\/7 + 41922*j**2\/7 + 33468*j\/7 - 167640\/7 = 0.\nAnswer: -2794, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 40, 106, 198, 316, 460, 630, 826?\n\"Answer: 13*d**2 + 27*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*k*q**4 + 156*k*q - 42282*k + 28*q**4 with respect to q.\nAnswer: -8*k*q**3 + 156*k + 112*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -40, -38, -44, -64, -104, -170?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x + 2. Let u be s(0). Suppose 3*w - u*w + 6 = 0. Let b(h) = h**2 + 8*h + 2. Determine b(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 - (2 + 0 + 6). Which is the closest to 0.1?  (a) 2\/21  (b) 1\/3  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3624934629.\nAnswer: 3, 53, 109, 209159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -124\/179 + 245961\/355315. Is 1 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 152\/11?\nAnswer: 152\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 15*((-12)\/9)\/(2\/5). Let h = o - -167. Suppose -3*q + 49 = 10. Calculate the greatest common divisor of q and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4123 - 1214. Round i to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -7*h**2 + h + 1. Calculate x(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 85866 and 114488?\nAnswer: 343464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = y - 60, -5*y + 78 = 5*t + 358. Let d = -13 - t. What is the highest common factor of d and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-40)\/6*(-3150)\/125 and 18.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y**3 + 19*y**2 + 11*y - 8. Let u(r) = -r**3 - 10*r**2 - 6*r + 4. Let d(p) = 3*b(p) + 5*u(p). Suppose -24 = 6*v - 2*v. Does 14 divide d(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113228 is divided by 845?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*v + 9*v - 8 + 2*v)*(-2*v + v - v) as w + g*v**2 + m*v and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**21\/(y\/(y\/(y*y**(-10\/9)*y)))*(y**(-1\/3))**(-21) assuming y is positive.\nAnswer: y**(244\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 6:03 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -66349 and -15.3.\nAnswer: 1015139.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 203\/6240 + 3\/160. Let n = 55\/312 - o. Let p = -3 + 11. Sort p, n, -0.1 in increasing order.\nAnswer: -0.1, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 2*n = 1 + 1, 0 = 4*u - 3*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 32\/(-40)*10\/4*-18. Suppose -v + 3*f - r = -5*v, -5*f + 38 = 3*v. Solve a + v = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from {h: 1, i: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -299557, -298823, -298089, -297355, -296621, -295887?\n\"Answer: 734*i - 300291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.40049107 to 3 decimal places.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 157b7 (base 12) in base 11?\nAnswer: 20a29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.03 + -0.47. Let x = -0.4 - t. Let h = -142\/9 + 16. Which is the closest to x?  (a) -0.4  (b) 0.2  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 235\/6 > 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(55)\/(sqrt(500)*-2) - (-4 + (-1*sqrt(110))\/sqrt(10))))**2.\nAnswer: 38*sqrt(11)\/5 + 10371\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1284.232156 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 1:39 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (32 - 6) + -2 + -14 - (-10 - -4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) -1  (c) -0.12  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 162 = -6*m + 150. Let z(a) = a**3 + 4*a**2 + 5*a + 7. Give z(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -124?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 2\/9, 3, -0.2, -12\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(18\/5)*s**(-2\/45)*(s\/(s*s**19))\/s**(-2\/21))**(12\/7) assuming s is positive.\nAnswer: s**(-3868\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 1151*q + 21866. Let m be w(-19). Let x = -3.8 - 1.2. Sort 2, m, x, 7 in decreasing order.\nAnswer: 7, 2, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 663978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of 0 - b**4 + 6*b + 3*b**3 + 1\/10*b**5 + 0*b**2. Factor d(i).\nAnswer: 2*i*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 498114761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) -0.5  (c) 41799  (d) -15  (e) 0  (f) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (40\/32)\/(135\/24).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 118411 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11.41 + 7.61. Let g = 140.5 + -140. Which is the closest to -2?  (a) l  (b) g  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33, -52, -51, -36, -13, 12, 33?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 46737911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 + -8. Suppose 0 = -u + g - 3. Let n = 2 - u. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 2*j + 4. Let x = j + 1. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -4*h + 5*h + 9 + 1. Let g(k) = -2*k**2 + 7*k + 1. Let z be g(5). Let i be 7\/z + 22\/(-4). Determine y(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -101*r**3 + 12*r**2.\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12015331, -24030697, -36046063, -48061429, -60076795, -72092161?\nAnswer: -84107527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-7) - 90\/(-21). Suppose -68*r = -66*r - 250. Suppose -c*z = z - r. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of -1\/2*k**2 + 0*k + 109. Let i(r) = 14*r**2 + 41*r**2 - 11*r**2. Determine p(i(x)).\nAnswer: -44*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 + 15*j**2 + 11*j - 23. List the prime factors of n(10).\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b + 3. Let t be o(0). Let c(l) = 0*l**3 - l**3 - l + 0*l**t. Let a be (-2)\/(-4)*-2*(1 - 0). What is c(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0042456 rounded to five dps?\nAnswer: -0.00425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 261710 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 1 + sqrt(243))*-6.\nAnswer: -54*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -3*n + 3*i, 123*n - 128*n - 5*i - 40 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 2*w + 4*w = -18, -29*r - 21 = -30*r - 830*w + 832*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 15720, 31138, 46556?\n\"Answer: 15418*r + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.184 - -0.384. Which is the nearest to g?  (a) -4\/5  (b) -2  (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 45, 4, 30, -51 in decreasing order.\nAnswer: 45, 30, 4, 3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21827?\nAnswer: 13, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -36*u + 75. Let l be g(2). Solve 0 = -l*a + 6*a - 6, -5*r - 21 = -3*a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*p + 4*y + 12, 4*p + 341*y = 345*y - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 7958, 3, -1 in decreasing order.\nAnswer: 7958, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + -4443143?\nAnswer: -4443135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 384448.\nAnswer: 2, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 520.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3a61a6 + -1a2?\nAnswer: -3a6398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 12 - (31 - (-8 + 19))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19050?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.9 in 0.1, -7754, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/760  (b) -1  (c) -2\/7  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -125\/22 + 13\/11. Which is smaller: -5 or n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000889045329 to 7 decimal places.\nAnswer: -0.000889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-1 + sqrt(175)) + (sqrt(175) - (sqrt(175) - (-1 + sqrt(175)))*-5))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6 + 6 - 2*k**4 + (2 - 2 + 2*k**3)*((2 + 0 - 3)*(k - 3*k + 4*k) - 5*k + 2*k + 4*k + 112*k + 8*k + 184*k).\nAnswer: 604*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12?  (a) -6992  (b) 0.2  (c) 18.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*k - 135*b - 442 + 37, 14*k - 9 = -0*k + 10*k + 3*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 35  (b) -10.2  (c) 7  (d) 0.1  (e) -0.4  (f) -15  (g) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1287 or -1727?\nAnswer: -1287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3*(-3)\/6 + 1. Let i(d) = 4*d - 10. Let n be i(10). Let j be ((-6)\/10)\/((-36)\/n). What is the third biggest value in g, j, 10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 7 - 17 + 565*v**2 + 611*v**2.\nAnswer: 1176*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1513\/36 + -42. Let y(u) be the second derivative of j*u**4 + 0 + 1\/18*u**3 + 0*u**2 + 4*u. Factor y(h).\nAnswer: h*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11723778 a multiple of 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) 0.5  (c) 11  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -170 (base 12) to base 10\nAnswer: -228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - x**3 + 1313*x**4 + 4 - 2 - 1314*x**4 - 3*x + 2*x**2 - 3 to the form y*x**3 + o*x**4 + s*x**2 + u*x + t and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3718 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 272*l - 510*l + 12138 for l.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4.747 - 7.747. Which is the second biggest value?  (a) -5  (b) -246\/5  (c) g  (d) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*j**2 - 1530*j - 382.\nAnswer: -2*(j + 191)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 - -62. Let a(x) = -x**2 + 7*x - 7. Let n be a(7). Let q = n + v. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 + a**2 + a + 5. Let o be u(0). Solve o = -5*d, 3*v = -d + 10 - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - 9) + 31 + 2 - ((21 - -1) + -16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 PM and 8:38 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/14 and (0 - 4) + (-77)\/(-9).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 62725806?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 26.4, -11, -1, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -22615661 (base 7) to base 5\nAnswer: -1002101204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cq when two letters picked without replacement from qqcqqkkre?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 - 12. Let u(p) = 4*p**2 - p. Let b be u(1). Put 0.5, b, k in descending order.\nAnswer: b, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -233 + 730. Suppose -4*p + 5*m = -o, 0 = -5*p - 5*m + 223 + 387. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from {o: 2, m: 11, r: 2, s: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 6:10 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (12\/(-15))\/(1\/5). Suppose 2*x = 5*x + 6, 32 = -4*n - 4*x. Let w = c - n. Solve -w*s = -10, -s = -3*q + 1 + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1748 = 221117*b - 221163*b for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 + 5*p**2 + 3*p - 2. Let r = 2 + -5. Let d be f(r). Let i be (-7)\/d*(-5)\/1. Solve c - 3 = 2*q - 6, -c + 11 = i*q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 14, -3, -1, 1 in decreasing order.\nAnswer: 14, 5, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**2 - 7*f - 11. Let t = 15 + -6. Let n be k(t). Let v = 16 - n. Solve 1 = 2*c + v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 864122336, 864122332, 864122326, 864122318, 864122308, 864122296, 864122282?\nAnswer: 864122266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 899*d + 6283. What is o(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 87, 213, 423, 717, 1095?\nAnswer: 1557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**2\/3 + 208*n + 10496\/3 = 0 for n.\nAnswer: -16, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -463, -2, -2\/5, 9, 17?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 - 2*j**2 + 1. Let u be z(2). Let f = 88972 + -89000. Suppose 0 = 2*y + 7 + 1. Sort u, f, y.\nAnswer: f, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138070 is divided by 1054?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 87*1 + 0 + 1. Let k = -6194 + 6194. Suppose -6*a - g + 310 = k. Solve h - 8 = -c, -4*h + a = -0*h + 5*c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**3 - 24*p**2 + 41*p + 66. Let w be q(22). Solve -93*t + 97*t - 20 = w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 5\/3, 1\/716?\nAnswer: 1\/716","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1040815 is divided by 996.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -281544 divided by -23462.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w, 1 l, and 1 p when four letters picked without replacement from llxqplpwqlwpqlx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1651 + -173577.0654?\nAnswer: -175228.0654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 + 4 = 11*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - s = -2916, -r + 238 = -3*s - 358. Suppose -10*q = -86 - r. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000076938428 rounded to six dps?\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 8*c - 4*c - 28, -f - 4*c = -8. Solve -7*p - 13 = -f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2675, 4, -25.\nAnswer: -25, 4, 2675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 + -19. Let u = m - -14. Suppose 0*v + 5*v = -2*z + 18, -4*z + 12 = 4*v. Which is smaller: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 - -1284550?\nAnswer: 1284553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of 0 + 1\/12*m**4 - 1\/3*m**3 + 1\/2*m**2 - 4*m. Is q(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1078.86 and 5.\nAnswer: -5394.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w + 9. What is the remainder when 233\/8 + (-7)\/56 is divided by m(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/166 and -28\/83.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 399056.5kg in grams?\nAnswer: 399056500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 22 + 23 + 4*i - 62 + (-i + 0*i + 2*i)*(3 - 1 - 4) + 1 + i - 1.\nAnswer: 3*i - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40386 is divided by 73?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -6 - (-4)\/2 - 190\/(-50). Which is the third biggest value?  (a) 0.4  (b) 6\/13  (c) s  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51510 is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = 5*l. Suppose c - 2*c + 43 = l. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 2*h**3 - h + 1. Let t(f) = 48*f**3 - 7*f + 7. Calculate 6*q(d) - t(d).\nAnswer: -36*d**3 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1352*j + 12*j**3 + 11*j**3 - 37*j**3 + 91*j**2 - 3657 - 31495 + 15*j**3.\nAnswer: (j - 13)*(j + 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of 3*n**5\/160 + 3*n**4\/32 + n**3\/8 - 2*n + 4. Factor v(y).\nAnswer: 3*y*(y + 1)*(y + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (-5 + sqrt(11)*-1)) + -1 - (sqrt(55)\/(sqrt(20) - sqrt(5)) - (sqrt(11) + -3 + sqrt(11)*2)).\nAnswer: 1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 15 - 0. Let p = n - 3. Solve 12 = 5*v - p*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/8600 and -143\/2220?\nAnswer: 954600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 9*3\/(-2)*(1 + -5). Suppose 2*b - w + 11 = 45, 0 = -4*b - 4*w + 80. Calculate the greatest common divisor of b and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21192 = -4*i + 2*c, -26488 = -5*i - 60*c + 62*c. Calculate the greatest common factor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/4*(-174)\/145.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/5*(-855)\/57. Let z be (-1)\/(-2) - (-14)\/(-4). Sort g, 1, z, -2 in descending order.\nAnswer: 1, -2, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27471320 is divided by 3558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 395673 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3357487 is divided by 7994.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b**(-1\/4)*b)**(-2\/75))**(-49))**(4\/7))**40 assuming b is positive.\nAnswer: b**(112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n - 6*n + 167 - 147 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times -301\nAnswer: 30.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -137\/594 and -79\/31736.\nAnswer: 9425592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - a + 0)*(5*a - 2*a + 3*a) + 0 + 566*a**2 - 534*a**2 + 2 - a**2 + 4*a - 4*a in the form m + g*a**2 + r*a and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 715733 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*v + v + v)*(-10 - 19 + 21).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 115, 182, 359, 700, 1259, 2090, 3247, 4784?\nAnswer: 6755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -141067808 divided by -2519068.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 266868013 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 107609441?\nAnswer: 7489, 14369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = q - 6*q - 350, 0 = 2*z - 5*q + 154. Let f = -21 - z. Calculate the greatest common factor of f and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -11 + 1 + (-3 - -5). Let v be 12 + 3 - (-3)\/(-1). Let s = z + v. Calculate the least common multiple of 10 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -425*m + 6656 = -169*m for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/((-13)\/(-663)*17)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 43264 (base 7) to base 2\nAnswer: 10101000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (14\/4 + -1)\/((-6)\/(-48)). Suppose -4*b + 900 = b. What is the greatest common factor of b and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 116510 (base 8) to base 15\nAnswer: bde4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 124 + -12321?\nAnswer: -12153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = -4*a, -32*a - 5*r = -30*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 96*g**3 - g + 3*g - 6*g**2 + 25*g**3 - g.\nAnswer: -71*g**3 - 6*g**2 + g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together 208 and -372681.\nAnswer: -372473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 0*i - 6 = 0. Is i\/(-1)*(-887)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 43 + (16 + (0 - 2) - 33).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36620 divided by -7324.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 218898486 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -417306 times 21?\nAnswer: -8763426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = y - 4*r - 22, 3*y - 96*r = -93*r - 12 + 42 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -71 - -87. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 242 divided by 9999.\nAnswer: 22\/909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*b**3 - 3 - 2*b**3 - 2*b**3 + 1 wrt b.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 - 19. Let s = 28 - 14. Let l = s - 109\/8. Sort l, -9, f in decreasing order.\nAnswer: l, f, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5393171207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 0*i + 9 = 3*j, -2*j = 2*i + 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21 - -13. Let t = 1310.6850292 + -1276.68502. Let b = t - w. What is b rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 30) + 2127\/3545 + 24\/10\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 33 = 4*m, -h = 5*m - 5*h + 39. Let k(c) = -2*c - 14. Let q be k(m). Suppose q = 4*w - 8*w + 116. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 - -2)*(-11)\/((-33)\/(-174)). Let d = 114 - k. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*f + 17*f - 19719 = 21727. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2200.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4081257m to kilometers.\nAnswer: 0.0004081257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 - 24. Let x be n\/(-5) + (-4)\/(-20). Let k = -12 + x. Sort -2, 3, k.\nAnswer: k, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b = 5*p - 12, -4*p + 3*b + 2*b - 15 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (21 + 2 + 7)*(-4*q + q + q) to the form u*q + b and give u.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/30*(-7)\/(336\/(-90))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1961, 1966, 1973, 1982, 1993, 2006, 2021?\n\"Answer: v**2 + 2*v + 1958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2 + (-81)\/(-11 - -2) + 51461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 - -15. Let k = 9145 + -9143.1. Which is smaller: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*p**3 + 0 - 5 + 5.\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1.3*-0.0513\nAnswer: -0.06669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18*k**4 + 129*k**3 + 201*k**2 + 30*k.\nAnswer: 3*k*(k + 2)*(k + 5)*(6*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (d - 5*d**3 + 5*d**2 + d - 4*d**2)*(436*d - 2 - 86*d - 217*d) as v*d + f + u*d**3 + m*d**2 + w*d**4 and give w.\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 136*c = 635*c + 10978 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 694*b - 705*b + 3938 = 0. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + c**5 + 1 + (3 - c**3 - 3)*(12*c**2 - c**2 - c**2) + (-c**2 - c + c)*(4*c**2 - 4*c**2 - c**3).\nAnswer: -8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/u**(1\/7)*u**(4\/7)*u\/(u\/(u*(u\/(u*(u**(-4\/5)\/u)\/u*u))\/u))*((u*u*u**(-7\/3)*u)\/u)\/u assuming u is positive.\nAnswer: u**(199\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 112 = 3*q, -2*r - 14 = -3*q - 66. Let j be (3 - -1)\/(r - (-11 - -1)). Are j and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 672 and 1482656?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let d = -2076 + 18722\/9. Determine p so that -d*p**3 + 26\/9*p**2 - 14\/9*p**4 - 4\/3 + 38\/9*p = 0.\nAnswer: -3, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 23 + 5. Suppose -3*o + 16 = -g*o. Let j(m) = m**2 + 4*m + 6. Determine j(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*g**5\/5 - 696*g**4 - 813132*g**3\/5 + 2460246*g**2\/5 - 2467191*g\/5 + 823554\/5 = 0. What is g?\nAnswer: -202, 1, 1359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -3*y - 2. Let j = -1 + -4. What is the tens digit of l(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -323 * -5469.679.\nAnswer: 1766706.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, y: 1, b: 11, i: 5}. Give prob of sequence yii.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-10\/7))**(-1\/34)\/(w**23*(w\/(w\/(w*w**(2\/73))))\/w*w*w*w))**26 assuming w is positive.\nAnswer: w**(-5869110\/8687)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -719.9 minus -3?\nAnswer: -716.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6355 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -31591 + 31591 - 9*u. Let t(l) = -6*l**2 + 11*l - 11. Let j(x) = -x**2 + 2*x - 2. Let z(s) = 11*j(s) - 2*t(s). What is c(z(y))?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -4. Let t(m) = m - 222. Let q(u) = -6*g(u) + t(u). What is the derivative of q(d) wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**5 + 32*m**4 + 56*m**3 - 4*m**2 - 58*m - 28 = 0. Calculate m.\nAnswer: -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/9*z + 0 + 2\/3*z**2 + 2\/9*z**3.\nAnswer: 2*z*(z + 1)*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1751 - 601*j - 1751)*(3*j - 2*j + j) to o*j + u + z*j**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 14, j: 4}. What is prob of picking 2 j and 1 s?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1e (base 15) to base 13\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68) + -3 - sqrt(17) - (-1 + sqrt(1088)).\nAnswer: -7*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 + 7. Let y(h) = h. Let m be y(4). Let s be (1\/m)\/((-9)\/(-72)). Solve 18 = -o*z + s*b, 6 = 2*z - 4*z - b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001050754897 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 119340.99942807 - 119341. Round i to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1\/5620 - 112531\/736220. Let b = h + -5180\/393. Let p = -49\/44 + 4\/11. Find the common denominator of b and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13906510 and 358.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23891 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 34 - 34. Suppose -5*f + f + 16 = g. Solve -f*j + 20 = 5*d, 3*j + 2*d = 4 + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 121 + -101. Calculate the remainder when 49 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/72*6\/(-8)*-4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3695374?\nAnswer: 2, 1847687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 94 - 87. Suppose 0 = -10*l + 7*l - k*l. Solve -4*b - a + 8 = 1, 3*b - a - 7 = l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4503 + 4720.52. Let g = r + -211. Let z = 7.1 - g. What is z rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3, -5, -7, -15, -35, -73?\n\"Answer: -r**3 + 6*r**2 - 13*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jd when two letters picked without replacement from djjjjd?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15965\/4 - 3972. What is the common denominator of g and 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y + 4*y - 140 = 0. Let a = y - -61. Is 31 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -2*h + 4, 2*h + 50 = 3*c + 6. Calculate the lowest common multiple of c and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o. Let p(w) = w. What is g(p(f))?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 2*h. Let f(l) = -4*l. Let q(i) = -2*f(i) - 5*u(i). Let g = 368 - 370. Determine q(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 719.9 - 723.583. Let d = l + 3.7. Let g = d - 21.017. Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*z = 6*z + 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g. Let c(v) = -3*v - 2. Let r(f) = -3*c(f) + 4*n(f). Let j(w) = 14*w + 17. Give -3*j(p) + 8*r(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -63*z**3 - 2*z**2 - 10*z - 15. Let h be v(-2). What is the highest common divisor of 9 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*x = -36*x - 81*x - 775 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31672, 32137, 33396, 35845, 39880, 45897, 54292, 65461?\nAnswer: 79800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 0. Let y = -0.97 - 0.03. Let h be 2 + ((-4)\/(-2))\/(-2). What is the second biggest value in y, f, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -5*u, 0 = -4*j + 3*j - u. Let r = -3 + j. Solve r*s - 5 = 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4\/7, 318, -1\/3, -14.\nAnswer: -14, -1, -1\/3, 4\/7, 318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15560 and 640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 46*c + 14. Let j be w(-7). Find the common denominator of 55\/16 and j\/(-16) - (-9)\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -79874, -159749, -239626, -319505, -399386, -479269, -559154?\n\"Answer: -d**2 - 79872*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -9*b**2 - 50*b + 95. Let f be r(-7). Solve 5*q = -f*s - 41, s + 5 + 19 = -4*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 649 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(2448)*-1 - sqrt(2448) - sqrt(2448)) + 2))**2 + -2 + -5.\nAnswer: -144*sqrt(17) + 22029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 408 + -417. Suppose 5*f + 5*l = 30, -5*l = -2*f - 3 - 6. Let d = f - c. What is the least common multiple of 16 and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3029 + -3029.2. Let u = 2\/9 + -37\/45. Which is the biggest value?  (a) u  (b) 1  (c) h  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -17*o - 4 + 18*o + 8*o**2 - 2. Let h(u) = -7*u**2 - u + 5. Let n be 28\/2*3\/6. Calculate n*h(w) + 6*g(w).\nAnswer: -w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 252 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 - 7*m + 2. Let p be b(-6). Let h = p + -4. What is the biggest value in 0.3, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 575*f - 576*f - 11 = 0, -29*q + f = -86 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add 4061 and -7244.\nAnswer: -3183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of -43*m**5\/30 - m**4\/8 + 163*m**3\/2 + 2*m**2 - 113*m. Differentiate l(i) with respect to i.\nAnswer: -172*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-25)*y*y**15 assuming y is positive.\nAnswer: y**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 3970580293397 - 5\nAnswer: 3970580293392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -2*h + 27. Let v = -9 + h. Suppose v = -5*m + 125 + 50. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1, 7 in increasing order.\nAnswer: -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*j, 0 = 11*a - 14*a - 3*j + 171. Let c(z) = z + 14. What is the lowest common multiple of a and c(0)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -770053\/24 + 32080. What is the common denominator of d and -23\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -7*x**2 + 3*x**3 - 11*x - x**3 - x**3 + 14. Let i be k(6). Let a = i - -170. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11955, -11944, -11909, -11838, -11719, -11540, -11289, -10954?\nAnswer: -10523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 15, 2*f = -2*d + 7*d - 9. What is the remainder when -5*((-9 - -14) + (-274)\/10) is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 - (45484\/(-7) + (-6)\/21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in -0.3, -4, 3.3, 4, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 3889 divide 378457255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide -12 - 1*18*-248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/6)\/((-42)\/(-252)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 16 - 32. Let y(o) = -8 - 8*o**2 - g - 16*o + 6*o**2 + o**2. Let m be y(-15). Solve -4*u - 23 + m = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 35271*g**3 - 27*g + 2571.\nAnswer: 211626*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*c - 12*c - 50*c - 7*c to the form p*c + y and give p.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (32*j - 17*j + 33*j)*(-1 + 6 - 3) + 0*j - 3*j + 5*j as h*j + b and give h.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/25)\/(38*(-38)\/(-223820))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.003  (b) 1\/3  (c) -3  (d) -6673\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -i**5\/4 + 355*i**4\/2 - 1767*i**3\/2 + 1588*i**2 - 4937*i\/4 + 705\/2 = 0.\nAnswer: 1, 2, 705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 - 19 - (2 - 1) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 - (3 + 9 - (11 + (21 - 27)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 5, u: 5}. What is prob of picking 2 i and 2 u?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z - 10. Let o be x(12). Solve -o*p - 6 = -0*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -16989, -16980, -16971, -16962?\n\"Answer: 9*z - 16998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - ((-30)\/(-9) - (-25)\/15))*1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 35194, 35194, 35202, 35218, 35242, 35274?\nAnswer: 35314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21 - -21. Suppose 4*p = -w - 6, w - p - 4 = -t*p. Solve -6*z = -w*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t*(t\/t**35)\/t)\/t**(-15\/8))\/(t**(4\/9)\/((t**(-8)\/t)\/t)))**(3\/7) assuming t is positive.\nAnswer: t**(-2993\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/373 at least as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76119 - 330037 = -11*n - 3*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 471\/50 - -31\/75. Calculate the common denominator of x and -37\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 25*h + 4725748 - 4724098 for h.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -27 + 30. Let f(s) be the third derivative of -2*s**2 + 0*s**3 + 0*s + 1\/12*s**4 + 0. What is f(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 58.4 - 0.4. Let i = -57 + p. Sort 23, 0.4, i.\nAnswer: 0.4, i, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 1 - -1 - 4 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -q**5\/6 - 341*q**4\/6 - 6739*q**3\/6 - 6059*q**2\/6 + 3370*q\/3 + 3200\/3 = 0.\nAnswer: -320, -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.383 + -488.617. Let v = f - -490. Which is the second biggest value?  (a) v  (b) 5  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 177 + 37 = 0. Suppose 3*n + 1 = 4. Let x be (-10)\/(-2) - (-1 - n). What is the highest common divisor of v and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 31 - 14. Let p = d - 11. Solve -2*v = p + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -214.3 or 4\/407?\nAnswer: 4\/407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/3))**5 assuming u is positive.\nAnswer: u**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of -q**5\/60 - 17*q**4\/24 + 8*q**3\/3 - 6*q**2. Let k be h(-18). Let m = -9 - -5. What is the third biggest value in m, k, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -5*sqrt(48) + (sqrt(12) + 0)**2.\nAnswer: -20*sqrt(3) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 26*d**2\/5 - 120716*d\/5 - 74336 = 0.\nAnswer: -40\/13, 4646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 2 + 2)*(y + 0*y + 0*y) + (2*y + 3*y - 7*y)*(-367 + 449 + 588))*(y**2 + 2*y**2 - y**2).\nAnswer: -2674*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/39351438 and -43\/5621634.\nAnswer: 39351438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-52)\/(-143))\/(16764\/(-363) - -34)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21723 and 344910553?\nAnswer: 7241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2784*p**4 - 1498*p**3*q**3 + 15*q**3 + 19787*q wrt p.\nAnswer: 11136*p**3 - 4494*p**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-67*r - 32*r**2 + 67*r)*(-2 + 6*r**2 + 2).\nAnswer: -192*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/142580 and -49\/12?\nAnswer: 427740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - -2 - (-5 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00323646575 to seven dps.\nAnswer: -0.0032365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.9 times 8850.9\nAnswer: -7965.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 2:41 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2242 = -9*d - 919. Let f = d - 134. Solve -m + 4*c = -f, 28 = -0*m + 4*m - 4*c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 573 (base 15) to base 3\nAnswer: 1200200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -14 - 22. Let q = -8 + p. Suppose -q*n - 1 = 11. Which is smaller: n or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 1 + 9 = 0. Let r = -32.9 - -35. Let u = r - 2. Which is the nearest to n?  (a) 0.2  (b) 0.3  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 449 and 166.31.\nAnswer: 74673.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -6*(3 - 4) - -1. Let y = g - -2. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4.39 and 0.4.\nAnswer: -1.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 20 = 34. Let q(i) be the third derivative of i**5\/60 - i**4\/3 - 2*i**3 + 2*i**2. Let p be q(u). Let f(k) = -k + 4. What is f(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - -1) + (1 - 9) + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 AM and 6:53 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l - 6. Let j be w(-7). Solve 2*k + j = p, 5*k - p + 6 = -2*p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1280519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/2)\/((-4 - -1)\/114). Find the third derivative of -9*p**4 + q*p**4 + 3*p**2 - 9*p**4 - 8 + 0*p**3 - p**3 wrt p.\nAnswer: 24*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of 1\/4*l**4 - 31*l - 1\/7*l**3 + 0*l**2 - 23. Let r(c) be the first derivative of p(c). Solve r(g) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -9*m**2 - 4*m - 1. Let i be x(5). Let l be (-1008)\/i - 6\/3. Let f = -6239\/492 + l. Find the common denominator of 67\/10 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 129236 is divided by 173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25239 and 562418.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = b - 4 + 2, 3*b - f - 49 + 55 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 2 = 2*k. Let j be (-9 + k)*(-2)\/(-4). Let l(f) be the second derivative of f**5\/20 + 5*f**4\/12 + f**3\/2 - 5*f**2\/2 + f. Determine l(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**(-1)*j*j*j**(-1)*(j*j\/((j*j**10*j)\/j*j))\/(j\/(j*j**(-26))) assuming j is positive.\nAnswer: j**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b + 23152?\nAnswer: 23160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 16) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10448, -20354, -30260?\nAnswer: -40166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-8))**48)**(-3\/25) assuming r is positive.\nAnswer: r**(1152\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + r = -4*q + 6, 0 = r + 2*q. Find the third derivative of -3*l**5 - 5*l**2 + 2*l**5 - r*l**5 wrt l.\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-170)\/48)\/(-17)*17\/51*(-18)\/4?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from shhhhihshsihshiess. What is prob of picking 1 h and 1 s?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the first derivative of -x**4\/4 + x**3 - x**2\/2 - x - 3. Let a be t(2). What is the highest common divisor of a and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1042186.\nAnswer: 2, 439, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3.52 or -0.032058?\nAnswer: -0.032058","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.06 - 717202946?\nAnswer: -717202946.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 7 = 3. Let r(m) = m - 1. Let p(i) be the second derivative of -2*i**3\/3 + i**2\/2 + 9*i. What is y*r(w) + p(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kjr when three letters picked without replacement from xrbkrbjzbkbbx.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m**4\/7 - 5556*m**3\/7 - 125358*m**2\/7 + 6058624*m\/7 - 6489600 = 0.\nAnswer: -48, 13, 2800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 209*i - 209*i + 18*i**2.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 4*v = -6*w + 40, 5*v = 5*w - 40. Let x = -6 + w. Suppose s - x - 3 = 0. Solve s*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -3 - 3*x - 4 + 4*x. Let v(c) = c**2 - 3*c + 5. Let f be v(4). Suppose 0*p + 3*p = f. Determine j(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1426 + 1426.04055. What is f rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(495)\/sqrt(9) - (sqrt(3520) - sqrt(3520)*-5))\/((sqrt(20)\/sqrt(4)*-6 + (sqrt(100)\/sqrt(5))\/sqrt(4))*1).\nAnswer: 51*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -1990*v - 15. Let m be w(-1). What is the highest common divisor of 25 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -d**4*f + 68*d**4 - 3*d**3*f + 1455*d**3 + 6657*d**2 - 8*d*f wrt d?\nAnswer: -24*d*f + 1632*d - 18*f + 8730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1, 2, -2\/31 in ascending order.\nAnswer: -5, -2\/31, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1375 and 308.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 37285466 to the power of 1\/2, to the nearest integer?\nAnswer: 6106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -5  (b) 7  (c) -4  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -135*p**2*u**2 - 297184*p**2*u + 213805094*u**2 with respect to p.\nAnswer: -270*p*u**2 - 594368*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -22*o**2\/3 - 47*o\/3 - 2.\nAnswer: -(o + 2)*(22*o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/3 + -2 + 1. Let v = -111.16 - -116.16. What is the closest to s in v, -0.2, 0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10198*v**5 - 41415*v.\nAnswer: -203960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 153310436 to the power of 1\/2, to the nearest integer?\nAnswer: 12382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2383 is divided by 218.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -58\/9 - -272\/45. Suppose -16 = -5*d - 4*l, l - 19 = -3*d - 2*d. Suppose -d*r + 12 = 8. Which is the biggest value?  (a) r  (b) -1\/5  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -112*g**3*z**2 - g*z**3 + 266*z**3 wrt g?\nAnswer: -336*g**2*z**2 - z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 0.16.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1011111 + -1?\nAnswer: -1011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5862 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -657*j - 3026. Let v be s(-5). Calculate the greatest common divisor of v and 1517.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 0.9, 691, 2\/7?\nAnswer: 691","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1294829 divided by 6?\nAnswer: 1294829\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18 + 52\/3. Let j be (-2)\/((0 - 1)\/(-1)). Which is smaller: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.2 + -0.9. What is the nearest to 0 in -3, p, -2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 - -7. Let l be (-2)\/c*4\/1. Suppose -8*t + 4*t + q = 1, 0 = -3*q + 15. Put 3, l, t in decreasing order.\nAnswer: 3, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (448\/210)\/16 - 5\/(1875\/20).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 248, 235, 218, 197, 172, 143, 110?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 25270*j**2*r**2 + 90*j*r**2 - 5*j*r + r**2 + 1 wrt j?\nAnswer: 50540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1052 + -10.1052. What is the closest to 1 in -4\/217, 5, z?\nAnswer: -4\/217","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 + 5*l**2 + 4*l + 6. Let s be g(-4). Are s and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 40 - 125 + 38 - 13*y + 45. Let f(d) = 4*d. Determine f(h(l)).\nAnswer: -52*l - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 621 and 268893?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2727312, -2727160, -2727008, -2726856, -2726704, -2726552?\nAnswer: -2726400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -4*z - 0*c + 6, 2*z = 2*c + 4. Let m(v) be the first derivative of 1\/3*v**3 + 3*v - 3\/2*v**2 - 1. Determine m(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 198?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 425 and 476?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**2 - 42*v**2 - 3*v**2)*(v + 0*v + 0*v).\nAnswer: -47*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -12, 4 - 7 = -3*b + a. Suppose 6 = -0*k - 2*k - o, b = 5*k - o + 8. What are the prime factors of k*(2 + 2)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mlaalmljls. Give prob of picking 1 j and 1 l.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1992)\/20 - 4\/10. Is ((-3)\/(-2))\/((-6)\/r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 185720?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 199*c + 29*c - 32121 = 79*c - 238*c for c.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-238)\/408*-12*(-2)\/(-8)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.1 - -0.2. Sort g, -0.1, 3\/2.\nAnswer: -0.1, g, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 150, 144, 134, 120, 102?\n\"Answer: -2*m**2 + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 + c**2 - 2*c + 2. Let h be o(-3). Let f = h - 25. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 44 + -43.9. Let h = 173 - 173.3. Sort f, 0.3, h, 0.5 in ascending order.\nAnswer: h, f, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*x + 11 = 83*x. Which is bigger: x or -46?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6445 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1642 is divided by 781?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 2*h**2 - 7*h - h**3 + 0*h**2 - 4 + 7*h. Let u(s) = -3*s**3 + 5*s**2 - 9. Give 2*u(f) - 5*w(f).\nAnswer: -f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -13*o + 272. Let d = -20 + o. Calculate the least common multiple of d and 78.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 44\/7, -3, -4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 37.032553 and -5.42.\nAnswer: 31.612553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26 and 754?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -44372*z**3 - 3*z**2 + 11*z - 43.\nAnswer: -266232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117023529 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-7)*231\/(-17160)*-180?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 110772862?\nAnswer: 2, 53, 1045027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(320) + sqrt(320)*-2 + -2 - (sqrt(5) + sqrt(15)\/sqrt(3) + sqrt(5) + -1 + sqrt(20)\/sqrt(4) + 4) - (sqrt(245) + 1 + 2 + 4 + 3))*-6)**2.\nAnswer: 20520*sqrt(5) + 73080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.93 - -0.07. Let n = 0.7 + -0.5. Let l = n + -0.2. What is the third biggest value in y, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 13*q**3\/6 + 590*q**2\/3 + 1594*q\/3 + 880\/3.\nAnswer: (q + 2)*(q + 88)*(13*q + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttw when three letters picked without replacement from twwwwwwwtww?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1844  (b) -2\/5  (c) 1\/7  (d) 0.14  (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*s - 18 + 50. Suppose -30*u - 5*t = -31*u - 3, u = -4*t + 6. Which is the second biggest value?  (a) u  (b) 3  (c) -16  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2903246 times -0.05\nAnswer: 145162.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 - 11*u**2 - 14*u + 25. Let j be y(12). Is 5 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 432 and 10928952?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/10 + (117\/(-60))\/3. Which is the biggest value?  (a) 0  (b) 11  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the second derivative of 5*u**3\/3 - 53*u**2\/2 - 46*u. What is the tens digit of h(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*u - 22 = 5*v, -5*v + 34 = 4*u + 42 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1719 is divided by 1575.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 PM and 8:58 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -382095 and -382097 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3\/12106 + 24221\/36318. Which is the closest to 2\/7?  (a) 0  (b) -0.089  (c) -3  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*l + 1536 = 228*l for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 27 and 462?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 227033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.4 and -8071?\nAnswer: 19370.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 307*c + c**2 + 284*c - 170*c + 1524*c**3 + 197*c wrt c?\nAnswer: 9144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/7)\/f**(-7))**(-31) assuming f is positive.\nAnswer: f**(-1488\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.7555061 * 0.11\nAnswer: -0.083105671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -93*b + 46*b + 49*b as l*b + u and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5817?\nAnswer: 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 4*t - 3*z, -176*t + 11 = -175*t + 8*z - 2*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*c**4\/3 - 2248*c**3\/3 + 207544*c**2 + 5089472*c\/3 + 10251392\/3 = 0. What is c?\nAnswer: -4, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.40026 + 0.09974. Let k = 216\/7 + -31. Sort a, 5\/6, -4, k in descending order.\nAnswer: 5\/6, a, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4004.16 + 3883. What is o rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.991 * 0.4.\nAnswer: 0.3964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/7 - (-11)\/(-7). Let i be m\/6 - (-76)\/3. Calculate the highest common factor of 10 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 187*i**3 - 520*i**3 + 336*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.346 + 1.724. Let g = u + -0.07. Let w be 2\/4*8\/12. Which is the smallest value?  (a) 2\/3  (b) w  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence on when two letters picked without replacement from {o: 2, n: 1, a: 2, r: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -13789, -13343, -12899, -12457, -12017, -11579, -11143?\n\"Answer: -v**2 + 449*v - 14237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1788\/(-126)*-3 - (-6)\/14 is divided by (-16)\/6*(-54)\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 38061267 or 1.1?\nAnswer: 38061267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 + -1. Let m = -126 - -129. Solve 15 = 5*c, -x - 5 = -4*g - m*c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56212*v + 11660 = 55992*v for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccjuh. What is prob of picking 1 h and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3\/6434 - -19323\/45038. What is the nearest to 23 in 2\/3, -0.4, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, 144, 1, -46, -1, 4, -4.\nAnswer: -46, -4, -1, 1, 4, 28, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 507 divide 1671072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(4\/5)\/d*d*d\/d**(-6)*d**(-7\/5)*d**(-5))**(1\/31))**(4\/3) assuming d is positive.\nAnswer: d**(28\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -457313.\nAnswer: 914626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 - 6*w - 3. Let t be s(-5). Let l(k) = 1 - t*k - 1. Let c(x) = 2*x. What is c(l(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 444883622.\nAnswer: 2, 222441811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -5*a - 24. Let j be l(-6). Suppose j*u = 11 + 25. Solve -3*b = -6*b - u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1440\/5)\/((-2748)\/(-916)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (3*sqrt(418)\/(-3*sqrt(11) + sqrt(11)))\/(6*(sqrt(2)*1 - sqrt(2)) + 2*sqrt(288)).\nAnswer: -3 - sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -553 divided by -13581\nAnswer: 553\/13581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 2 = -2*b, -b = 7*w - 2*w - 17. Let d be 4\/2 + -1 + b. Calculate the remainder when 62 is divided by (-1)\/(50\/26 + d).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 290 + 39*p**2 - 290 + 40*p**2.\nAnswer: 79*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 346066044.\nAnswer: 2, 3, 53, 544129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 124873655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 992 + -1006. Suppose 4*p + 12 = -2*l, -p + 11 = -3*l - 0*l. Which is the third biggest value?  (a) k  (b) l  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 4*o - 2. Suppose 5*l = b + 21, 0 = 4*l + 4*b - 12. Let p(v) = 3 - 9 + 8 - 3*v. Let j be 2*(-10)\/4*-1. Calculate j*p(h) + l*k(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.13108533 and -1819912.\nAnswer: -1819912.13108533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/11)*o**(-1)*(o*o**(3\/23))\/(o\/(o\/((o\/(o\/((o\/(o\/(o**(-7\/4)\/o)))\/o)))\/o))))**(-18\/13) assuming o is positive.\nAnswer: o**(-42795\/6578)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/2)\/((44\/8)\/11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*a**4 + 138*a**3 - 604*a**2 + 632*a - 192.\nAnswer: -(a - 8)*(a - 6)*(3*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.021 or 3\/11?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*p - 3*r - 5, 18 = -4*p + 7*r - 5*r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - -7. Suppose v + 1 = -z*x, v = -v - 8. Suppose 2*o - x = -3*y + 12, -o + 3*y = -11. What is the smallest common multiple of 10 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 751.09 * -17\nAnswer: -12768.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(275))**2 + ((sqrt(1100)*5 - sqrt(1100)) + sqrt(1100))**2 + sqrt(132)\/((sqrt(48) + sqrt(1200))\/sqrt(4) - sqrt(12))*-2.\nAnswer: -202*sqrt(11)\/5 + 27791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 13 = 4*m + j, -4*j = -4. Let g = 1 - -6. Let x = g - 3. Is x <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -808933 + 1617865\/2. Let y = 2 - 3. Which is the smallest value?  (a) -6  (b) t  (c) y  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 24, 117, 280, 519, 840?\n\"Answer: l**3 + 29*l**2 - l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -74.29 + -3.61. Let i = -64.9 - r. Does i = 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -10*s + 175. Let w be t(17). Suppose -6*a = 3*d - w*a - 603, 3*d - 5*a = 585. What is the remainder when d is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*g**3*p**3 - 34*g**3*p**2 + 16*g**3*p - 785*g**2*p**3 + 2*p**3 wrt g?\nAnswer: -12*p**3 - 204*p**2 + 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 + 0)*(0*t - t - 3*t).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -13. Suppose y = -5*q + 30. Let w = -7 + 12. What is the lowest common multiple of q and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -197 + 203. Does 39 divide ((-33)\/z + 5)\/((-3)\/1374)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*w + 750 = 57*w - 150*w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = 5*k + u, 0 = -2*u - u + 9. Sort k, 1, 19, 0 in ascending order.\nAnswer: k, 0, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 18 + -177?\nAnswer: -15d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(75))**2 - sqrt(75)) + -5.\nAnswer: -5*sqrt(3) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -166*r + 56*r + 53*r + 60*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -256, -591, -926, -1261, -1596?\nAnswer: -1931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -53 - 53 + 167 + 5*k**2 - 60 in the form d*k**2 + x + o*k and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, -264, 3\/5, -0.4, 2.15 in descending order.\nAnswer: 2.15, 3\/5, -1\/7, -0.4, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49514 - -0.036.\nAnswer: -49513.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 - -17. Solve 4*v + 3*r + 6 - 35 = 0, -9 = -w*v + 2*r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -199600 rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence be when two letters picked without replacement from {q: 4, d: 2, b: 3, e: 10}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 848 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 8 + 7 + 5 - 39*i - 14.\nAnswer: -39*i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -299*v + 85*v + 97*v to the form z + y*v and give y.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 305428 is divided by 101761.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 67101*w - 67092*w + 0.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-9))**(-38))**(-5\/4) assuming z is positive.\nAnswer: z**(-855\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 - (1 + (-1 - 1)). Suppose -29 = -o - q*k, -o + 3*k = -k + 11. What is the least common multiple of o and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 497867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -3*v**2 + 9*v**2 - 3*v + 11 + 10 - 7*v - v**3. Suppose t - 166 + 161 = 0. Let p be z(t). Is -7 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 minus -101?\nAnswer: 100.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 105 = -2*n + 138 - 367, -n - 309 = 12*p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54180899?\nAnswer: 54180899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1512)\/(-702) - 4\/26. Let q = 119\/2 - 58. Find d, given that 0*d**4 - 3\/2*d**3 + 0*d + q*d**5 + 0 + 0*d**n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2235 and 3129?\nAnswer: 15645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3 + 2)*2*(-4)\/184. Let j be 0\/((-3 - -2) + 2). Does j = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3*-1*(-2)\/(-6). Let y = 15.2 + -14.7. Put p, y, 0.7 in decreasing order.\nAnswer: p, 0.7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29 + (-2 + (-6 - -10 - -1) - -3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4 + -1)*(-2)\/(-2). Factor 6*b**f - 3*b**3 - 3*b**2 - 2*b**3 + 2*b + 0*b**3.\nAnswer: b*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 3*a = -8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*m = -20*m - 3*d + 2, -2 = 2*m - 2*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (1 - -1 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17608568.\nAnswer: 2, 29, 71, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 420*m**2. Let u(w) = 3*w**2. Calculate u(z(t)).\nAnswer: 529200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8051316um in nanometers?\nAnswer: 805.1316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/6 - 10*-2. Suppose -z - 36 = 2*z. Let r = -9 - z. What is the highest common divisor of w and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(315)\/(sqrt(27)\/sqrt(3))*-5)\/(-6*((sqrt(100)\/sqrt(4) - sqrt(25)) + sqrt(25))\/sqrt(5)).\nAnswer: -10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zuxqzhzucxzuxuc. Give prob of sequence xuh.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4591809ns in microseconds?\nAnswer: 0.0004591809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2966361.89999894 + 2966362. Let d = 0.1 - p. What is d rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 5 = g, -g - i + 21 = -6*i. Let c be 36\/28 - g\/1. What is the nearest to c in 2\/15, 1\/4, -2\/17?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000100111001 + -1110?\nAnswer: 1000100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 966751 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -126 - -128. Let x(f) = -f**3 - 14*f**2 - 13*f + 12. Let v be x(-13). Let w be (1\/(-2))\/(6\/v). Put q, w, 3 in increasing order.\nAnswer: w, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**2*x*x*x**(-12))**(-38) assuming x is positive.\nAnswer: x**418","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2)*m)\/(m**5\/m)*(m**(-1\/4))**(2\/121)*(m**(-1))**(-43)*(m**4\/m)\/(m**(1\/3)*m) assuming m is positive.\nAnswer: m**(28795\/726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1059 + 1037 - 3137 + 47*k**2 + 1044.\nAnswer: 47*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbaqzzo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5\/(-2))\/(2\/(-4)). Solve 0 = 3*g - d, -g + 0*d = -r*d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 - 73*b - 281. Give f(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11948104.\nAnswer: 2, 7, 213359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-2*((sqrt(102)*-2)\/sqrt(6) - sqrt(17)))**2 + -4*(sqrt(1377) + (0 + sqrt(1377))**2 + 5).\nAnswer: -36*sqrt(17) + 4264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 AM and 1:27 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14 + 7. Let b = f - -9. Suppose 2*v - 6*v + 12 = 0. Solve -v*x + 22 = b*h, 2*h + 28 = 6*h + 2*x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3383865 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 2*b - 382, -5*d - 11*b + 460 = -10*b. Solve 0 = -d*l + 91*l - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11867 less than 0.5?\nAnswer: 11867.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - 8. Let l = r - -11. Let q(n) = n**3 - 5*n**2 - n - 4. Determine q(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5817 + 5820. Sort -5, 1, 2, 240, t.\nAnswer: -5, 1, 2, t, 240","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 710, 5387, 17862, 41963, 81518?\nAnswer: 140355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-29)\/(-2))\/((-98)\/(-28)))\/(9\/(-63))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-40)*(-152)\/(-171)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12 + 12110321?\nAnswer: 12110333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.7 - 0.76. Let m = 74.36 - 74. Let g = b + m. Sort g, 4, -4\/7 in decreasing order.\nAnswer: 4, g, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1*(2*sqrt(3) - sqrt(3)) - sqrt(3))*5 + (sqrt(63)\/(sqrt(9)\/sqrt(3) + sqrt(3)))\/(sqrt(7) - sqrt(567)*-1 - sqrt(7)).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.4, 5, 0.1, -5, -593, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**2\/5 - 67050189*c\/5 - 16762547\/5.\nAnswer: -(c + 16762547)*(4*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 5) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 AM and 11:39 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 24 + 12 = 0. Let l = 5 + m. Let y be ((-1)\/(-2))\/(l\/(-4)). What is the closest to y in 0, -1, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/(-18))\/(14\/(-8106))*6. Let q = -369 + d. What is the remainder when 507 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 10.4 and -147?\nAnswer: -1528.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.87 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 778196795 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3870308 + -3870186.999861. Let i = -114 + 235. Let z = r - i. Round z to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 17325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00044242 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**3 + 210*v**2 + 2425*v + 5520.\nAnswer: 5*(v + 3)*(v + 16)*(v + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the third derivative of -g**6\/60 - 3*g**5\/20 + 10*g**3\/3 - 17*g**2 - g. Let v be f(-4). Solve 2*k + 2*r = r - 2, v*k + 3*r = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -111 + -394?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -327*q**4 - 2*q**3 + 1276*q**2.\nAnswer: -7848*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -2 - (0 - 5 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 344789 and 1211?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5523, 5206, 4341, 2652, -137, -4302, -10119, -17864?\nAnswer: -27813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 146800 and 2053365?\nAnswer: 1835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:43 AM and 8:02 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 PM and 1:26 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**2 + 9*v - 30. List the prime factors of a(-16).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*j - 3*b + 19 = 38*j, 12 = 4*b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 17361188?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-eight fifths of a centimeter in millimeters?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 + -15933?\nAnswer: -15936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 44447*c**4*z - 2*c*z + 821*z + 1 wrt c?\nAnswer: 177788*c**3*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144*u - 18143531 - 15886981 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5087 a factor of 752779347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 115\/18 and -43\/8920?\nAnswer: 80280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 7 - 8 - -8 - 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 143*s + 7. Is y(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from {d: 1, s: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16488 and 23832?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 241 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 2 = -m + 1, -p + m - 7 = 0. Let r be 713\/322 - (-3)\/p. Let u = -0.23 - -0.43. What is the nearest to 2 in -1, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6 - 58*n - 5 + 66*n + n - 4*n + n + 3 + 2*n - 3 + (3 - 2 + 0)*(-3*n - n + 5*n).\nAnswer: 9*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 605 + 6223?\nAnswer: 10131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75080122?\nAnswer: 2, 13, 2887697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 3*s + 337 = 285, 5*y = -s - 44 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23241 (base 5) to base 13.\nAnswer: -a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 167807077 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -26 + 26.1. Suppose 0 = 5*l + 9 + 11. Let z be (-40)\/42 - (-2)\/3. What is the third smallest value in l, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -2. Let u be (18\/15)\/((-1)\/5). Let a be 3\/(-15) - u\/(-45). What is the nearest to a in v, 0.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 5*b - 8. Suppose -4*j - 20 = g, 0 = 4*g + 3*j - b*j + 5. Let d(m) = m**2 + 1. Give d(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.08 + 0.01. What is the second biggest value in -4, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4039989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 467 divide 5053903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12317 (base 8) to base 7.\nAnswer: -21350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -6*u - 3 - 2*u**2 - 5 + u**2. Let k(t) be the second derivative of -t**3\/6 - t**2\/2 - 10*t. Calculate -6*k(a) + w(a).\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -b + 3*b, -5*b = 25. Let w(r) = 1. Let x(h) = -29*h - 29. Let i(l) = n*w(l) - x(l). What is the first derivative of i(f) wrt f?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*n + 80*n - 30 = -1009 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 + y - 1. Is 11 a factor of p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16269 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 134, 137, 140?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2723300 (base 9) in base 8?\nAnswer: -5541501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -47.3 + 46.907. Let l = 0.593 + c. Let q = -0.2 - -0.2. What is the nearest to q in -5, l, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 6) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 8 = -4*x + 12. Determine j, given that 1 + 1\/4*j**3 + 5\/4*j**x + 2*j = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11 and 10483.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -90*4\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -189 = 27*l - 54*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -117\/1232 and 7\/24?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -10  (b) 0  (c) 0.4  (d) 51  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6 + 147257?\nAnswer: 147264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3124664 - -224?\nAnswer: 3125221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 58431171 and 10905.\nAnswer: 292155855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1644 by 2765.\nAnswer: -1644\/2765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -0*b. Suppose -x + 2*x + 2 = b. Which is greater: -4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.01*-78.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/17  (b) -4  (c) 0  (d) -10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is da8 - -1?\nAnswer: da9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 5*m - 55 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -126 - -130. Let b be 2\/(-5) - 32\/(-5). Let c(m) = -m + b*m - d*m. Let o(w) = 13*w. Give c(o(z)).\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 2*y**3 + y**2 - 3. Let o(p) = -2*p**3 + p + 1. Calculate -k(v) - 4*o(v).\nAnswer: 6*v**3 - v**2 - 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 142 and 20874071.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) -3  (b) 3  (c) -0.5  (d) -18\/7  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(32\/6))\/(55\/220).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.23?  (a) 32  (b) 4.163  (c) -0.3  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 108, 5\/6, -2.802, 1\/6, 1.\nAnswer: -2.802, 1\/6, 5\/6, 1, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18454392.\nAnswer: 2, 3, 11, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/(-2)*68\/(-2). Suppose -3*k - 2*x = -n, 0*k - x - 4 = -k. Suppose -4*v = -5*f + 725, k*v + 230 = 4*f - 341. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34890 is divided by 30139.\nAnswer: 4751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -7*u + 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -148 - -1042\/7. Factor 0 + q*h**2 - 3\/7*h.\nAnswer: 3*h*(2*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (63 - 1)*(5 - (-63)\/(-14)). What is the greatest common divisor of f and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1177 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.019776 milligrams to micrograms.\nAnswer: 19.776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8332 + 8392. Calculate the highest common factor of 11 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 229916227 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (-11 - 5 - (10 - (7 + -4)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76*r - 11 + 13 - 2 + 0.\nAnswer: 76*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/6  (b) 2\/15  (c) -180.06  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 581 (base 11) to base 12.\nAnswer: 49a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*n + 4*n + 12 = 4*s, 10*n - 44 = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 293537 and 99641?\nAnswer: 2693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 50 = -r + 122, 92 = r - m. What is the highest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u + 4. Let q be w(-4). Let z be q + 1 - -1 - -3. Let g = z - 1. Solve 0 = 2*m - g*i - 6 + 4, 2*i = -5*m - 31 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**2 + 3*a. Let c be s(-5). Suppose -25 - c = -5*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 895*d**3 + 7*d - 4*d**4 + 5*d - d**2 - 17 - 14*d - 1064*d**3 wrt d?\nAnswer: -48*d**2 - 1014*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2*h**2 + 12*h. Let a be s(-6). Suppose a*n = -2*n + 6. Suppose -3*t = -n, 5*q + 2*t = -2*t + 3314. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 300 (base 9) to base 12\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from {r: 1, g: 1, l: 2, m: 1, b: 2, f: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(-1\/5))\/p)\/(p\/p**(-2))*(p**(1\/2)*p)**31*((p*p**4)\/p)\/(p\/(p**(-8)\/p))*p**(-1\/4)*p\/((p*p\/p**(-4\/9))\/p) assuming p is positive.\nAnswer: p**(6589\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -857 - -858. What is the closest to l in 13, 0, -0.2, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, 61, 0.5, 1484\/47, 4, -4.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 40\/(-18) + 2\/9. Let m = t - -4. Suppose 0 = -m*o + 10 + 6. Solve l - 10 = -0*l + 2*d, d + o = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -413*k = -47 - 2960 - 4840 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**4 + n**4 + 2*n**4)*(2 - 3 + 0)*(5 - 4 + 4)*(-3 + 26 + 9).\nAnswer: -320*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2596?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -2\/2229  (b) 1\/2  (c) 20\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2802978 is divided by 3369.\nAnswer: 3339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6078884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2.6 or -2\/73?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 7, v: 4, s: 2}. Give prob of picking 2 v and 2 q.\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 2*l + 2094, k + l = -3*l + 1027. Let h = k + -600. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*m + 70*m - 1576 + 419 = 25*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 317\/9 - 3445\/99. Calculate the common denominator of (-7)\/420*4\/8*-484 and p.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -402989*p**4 + 995*p**2 - p - 16.\nAnswer: -9671736*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11\/4 - 13\/4. Let n = 0.5 + -5.5. Let y = -3 - n. What is the closest to c in y, 0.2, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the third derivative of 1\/945*c**7 + 1\/45*c**6 + 8\/9*c**4 + 2*c**2 + 64\/27*c**3 + 0 + 26\/135*c**5 - 26*c. Determine w, given that q(w) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 2*h + 3*v - 10 = 0, -2 = h + 3*v. Let g(y) = -y**2 + 8*y - 2. Let i be g(7). Let d = 8 + i. Solve -3*n - h*m + d = -15, -4 = -m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 + 1. Let s = -5 - d. Let x = 4 - s. Which is smaller: x or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 310986 and 702.\nAnswer: 310986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (173*v - 106*v - 22*v)*(0*v + 3*v - 5*v)*(0*v + 0*v + v) in the form j*v + n + z*v**3 + h*v**2 and give z.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/10 - (-2392)\/20. Suppose 0*f - n = 4*y + 3*f, -5*f = -3*y - 119. Is 16 a factor of 44\/y - 554\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*a - 3195 = -29*a - 3*d, 4*a = -4*d + 3192. Calculate the remainder when a is divided by 197.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49261 is divided by 403.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.68 times -3?\nAnswer: 17.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x + x = 15*x - 26850. List the prime factors of x.\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (99 - 99 + 20*r)*(6 - 1 + 0)*(-10*r + 6*r + 33*r) in the form l + j*r + f*r**2 and give f.\nAnswer: 2900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/9, -2\/49, -0.1, 0.5.\nAnswer: -0.1, -2\/49, 1\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -184812 + -76?\nAnswer: -184888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*v + 3*v + 0*v + (-14 - 7 + 14)*(-12*v + 18 - 18))*(v - 3*v + v) as g + p*v + q*v**2 and give q.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1000*q - 5145 + 353 - 208 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, 0, -0.3, -3, -5233876?\nAnswer: -5233876","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 40079 and 416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.03, -0.6, 2, -11, -4.26 in increasing order.\nAnswer: -11, -4.26, -0.6, 0.03, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2683045 + 5366098 + 125*b - 2683053.\nAnswer: 125*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6118 and 38437?\nAnswer: 1768102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6912) - (1*1*sqrt(6912) - sqrt(6912)) - sqrt(6912) - sqrt(6912))\/(-3*sqrt(864)*1*-5).\nAnswer: -2*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -310, -1, 178\/7, 2 in ascending order.\nAnswer: -310, -1, 2, 178\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2053631879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.0274 + 3.0274. Which is the closest to 1\/4?  (a) 0.05  (b) p  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16572463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/21 in 0, 0.1, -3\/10616, -14\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 0*y + 10 = 0. Suppose -y*l = -5*l + 24. Solve 0*x + 5*x + 24 = b, -2*b - l = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 6*y**2. Let o(r) = 295*r + 4. Calculate x(o(a)).\nAnswer: 522150*a**2 + 14160*a + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - -21. Let s = j + 1. Let u be 3\/(-1) - -12 - 3. What is the highest common divisor of u and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -13 + 1. Let n be (1 + -5)\/((-4)\/2). Suppose x*d + n*z = -8, d + 0*z = z - 5. Sort 5, 1, d in decreasing order.\nAnswer: 5, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1112, -1102, -1076, -1028, -952?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -3*z**3\/2 + 189*z**2\/2 = 0.\nAnswer: 0, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the third derivative of 13*k**5\/20 + 7*k**4\/24 + 7*k**3\/6 + 108*k**2. Let o be z(-1). What is the greatest common divisor of 65 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(102) + sqrt(102))\/sqrt(6) + (sqrt(170)*-2 - sqrt(170))\/sqrt(10) + -4.\nAnswer: -sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 9:08 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -2*x + 89. Suppose -x = 8*c + 71. Let i(b) = -21*b - 12. Is 48 a factor of i(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 30*l + 2. Let y be 9 + (-1)\/2*(-48)\/(-8). List the prime factors of c(y).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -237 + 76 + 77 + 84 + 23462*o.\nAnswer: 23462*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5775 and 550513425?\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 189291\/172520 + 2\/194085. Calculate the common denominator of q and -61\/60.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 40663 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228) + sqrt(228)*1)*1)\/(sqrt(12) - (1*sqrt(12)*-6 - sqrt(12))) - (sqrt(475) - (-1 + sqrt(475)))*-1*5.\nAnswer: sqrt(19)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 + 6*z**2 + 5*z - 1. Let q be s(5). Suppose -3*p + c = -123, -q - 33 = -2*p - 5*c. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:15 AM and 7:56 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32202 (base 9) to base 3.\nAnswer: 1002020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44657.\nAnswer: 44657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*z + 4*c + 32, 17 = 3*z + 4*c + 41 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -98*c - 301. Calculate f(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((2\/(-15))\/((-1)\/(-3)))\/((-170)\/21675)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5642563 + 2?\nAnswer: 5642565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/3, -0.09, -0.12, -13, -2\/7.\nAnswer: -13, -2\/7, -0.12, -0.09, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -75407 at most as big as -75407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*b*t**2*x**2 - 545*b*x**3*z - 3*b*x**2*z - 2*t**3*x**3*z + t**3*x*z - t*x**3*z + t*x*z wrt x.\nAnswer: -3270*b*z - 12*t**3*z - 6*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.36 + -1.56. Which is the third smallest value?  (a) -2\/5  (b) 2\/9  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 - 2*o + 2. Let u = -2 + 6. Let y be p(u). Suppose 14 + y = 4*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 503583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6350886 rounded to the nearest ten thousand?\nAnswer: 6350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y and 1 s when four letters picked without replacement from {y: 4, m: 2, s: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 92 and 5888.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79090.37ng to micrograms.\nAnswer: 79.09037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-35)*(0 + -1 + -2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 69924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1979168?\nAnswer: 2, 127, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the third derivative of -3\/2*x**3 + 5\/24*x**4 + 0 - 13*x**2 + 0*x. What is the derivative of p(t) wrt t?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -323947 + 29208 = -25*x + 216911. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + 0 + (3 - 1). Suppose 21*j - 22*j = -56. What is the remainder when j is divided by (-38)\/m*(3 - 5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 176 = 2*d - v, -4*d + 0*d - 3*v = -352. Let o = d - -22. Calculate the highest common factor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2822 + 2822. Let r(a) = 10*a + 21. What is r(s)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 508.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5333 and 0.1?\nAnswer: 533.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 75.8 - 87. Let i = -6.04 + d. Round i to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 81 - -d?\nAnswer: 8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 34 in 1, 2\/9, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from oaoooeooooeaoaaaoaoa?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -3\/14, -1\/6, 0.3, 0.148, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*z = 19*z - 152 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a + 6. What is the lowest common multiple of 3 and q(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 2*x**2 + 3831*x + 105768. Calculate d(-28).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -2*h**3\/13 - 275244*h**2\/13 - 550482*h\/13 - 275240\/13 = 0.\nAnswer: -137620, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -141?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-10))**(2\/5))**(-6\/11) assuming g is positive.\nAnswer: g**(24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 2 + sqrt(20))**2 - (sqrt(55)\/sqrt(44) + 1)**2.\nAnswer: 11*sqrt(5) + 107\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -16 + 109 + -65 + 0 + -15\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/24 and 107\/1470.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1489328?\nAnswer: 2, 93083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from abvbwbjvvbjvbvwv.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*x**2 + 109*x**3 - 105*x**3 + 0*x**2.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9854*i**2 + 0*i + 0*i + 1598*i**3 + 1305*i**3 + 1728*i**3 wrt i.\nAnswer: 27786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -190*b**5*i + 482*b**3*i**2 + b**2*i**2 - 3597*b**2*i - b + 6*i wrt b.\nAnswer: -11400*b**2*i + 2892*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5057 - 5053. Solve m*z - 9 = -v - 34, 0 = 4*z - v + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6330317 is divided by 3165142.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -10. Let t be d\/14*(6 + -8). Which is the smallest value?  (a) -0.2  (b) 3\/5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 4) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4, -8, 0 in descending order.\nAnswer: 4, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 11, i: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o + 115 = 3*x + 2*x, 2*o + 53*x - 103*x + 49*x - 13 = 21 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 616, 650, 676, 688, 680?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3219277?\nAnswer: 1321, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 0.29816  (b) 2\/7  (c) 1\/4  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 5, o: 2}. Give prob of picking 1 o and 2 k.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -1\/5, -1\/2, -5, 172\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*a - 76. Calculate the remainder when a is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - -21) + (16 - 30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 132633291227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6114.426 micrometers in centimeters?\nAnswer: 0.6114426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 210004, 420014, 629856, 839446, 1048700, 1257534, 1465864, 1673606?\n\"Answer: -14*a**3 + 210108*a - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -44*v**3 - 54*v**2 - 52479*v.\nAnswer: -264*v - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (26 + (-5175)\/200)\/(2\/(-8)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4785138?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 + 9*n**2 - 54*n + 642. Let i be f(10). Suppose 20\/13*x**i - 58\/13*x - 2\/13*x**3 + 40\/13 = 0. Calculate x.\nAnswer: 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 - 20 + 11 - 46)*(0*l**2 - 2*l**2 + 12*l**2).\nAnswer: -640*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 - -431. What is the lowest common multiple of 588 and c?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 210219426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 11 - 9 = 0. Let x(o) = 2 - o**2 - 7 + d*o + 2*o. Suppose 5*q - 4*q + 30 = 5*j, j + 5*q = -20. What is x(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 100713502*j**3 - 3*j**2 + 2*j + 39851340.\nAnswer: 604281012*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = 3*b - 17, 5*b = n - 7 + 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.8539 + 0.1461. Sort -1, -17, n, -2\/7, -10 in increasing order.\nAnswer: -17, -10, -1, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2\/3 + 3910*j\/3 + 3916.\nAnswer: -2*(j - 1958)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-4)\/(-3))\/(10\/45). Suppose -33 = h*g - 9*g. Calculate the remainder when 21 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-2 + -2*sqrt(1700)*-3 - (sqrt(1700)*-1*4 + -4)))**2.\nAnswer: 6400*sqrt(17) + 2720064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let v be (-70)\/(-3) - 22\/(-33). Suppose -2*w + v = -0*w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 723 a factor of 286691190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -82*z**2 - 29*z - 10*z**2 + 32*z + 5 + 3*z**2 - 8*z. Let x(o) = 45*o**2 + 2*o - 2. What is -2*q(l) - 5*x(l)?\nAnswer: -47*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a**(3\/4)*a)*a**3)\/(a**4\/(a\/(a**(-2)\/a)*a))*a\/(a*a*a**6*a)*a*a**(3\/4)*(a**(-4)\/a)\/(a*(((a*a**(-3)\/a)\/a)\/a*a)\/a*a) assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/204 and 35.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -13. Let v = 3477 + 83. Suppose -t*b + v = -2230. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-72)\/28 - (-80)\/28. Sort q, 853\/2, 0.4 in increasing order.\nAnswer: q, 0.4, 853\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k = -8*k + 5. Suppose 6*d + 22 = k*d. Let y be 3\/(-15) + d\/(-10). Solve -4*i - 5 = -5*o - 0*i, -3*i = -y*o + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 - 15\/2. Solve -2 - 5\/2*w**2 - y*w**3 - 4*w = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 88372098 and 58914732?\nAnswer: 176744196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -5.36*4\nAnswer: -21.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*n**2 - 146*n + 146*n - n**4 wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 698233*k**2 - 2*k - 80445.\nAnswer: 1396466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 246.\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -4. Let j = 2 - f. Let q be 5\/1*j\/5. Solve 0 = -4*l + a - 11, -q*l + 4 - 9 = -4*a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -232761 - -232760.839. Let c = 1 + -0.9. Which is bigger: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of -c**4\/4 - 5*c**3 + 37*c**2\/2 + 53*c - 128. Let b be v(-17). Solve 15 = 5*a - 0*a + b*i, 0 = -2*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1176 divided by -6?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 (base 14) in base 11?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10100011011 - 1?\nAnswer: 10100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 + 26b0b?\nAnswer: 26b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.97 - 2.87. Which is the fourth biggest value?  (a) y  (b) 11  (c) -0.5  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6432.001 litres to millilitres.\nAnswer: 6432001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.1  (b) -2\/21  (c) 0.21  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 6*c - 8*c. Let q be c\/(-66) - (-3700)\/22. Let d be -1 + (1 + 21)*1. What is the greatest common divisor of d and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 35886649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -3*m**2 - 4*m + 12. Let w be r(-3). Let z(j) = -2*j + 20. Let s(a) = a - 12. Let q(v) = w*z(v) - 5*s(v). Let t(f) = 4*f. Give q(t(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.2538 in 2, -0.2, -0.4, 1\/2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1165174, -1165169, -1165162, -1165153, -1165142, -1165129?\n\"Answer: q**2 + 2*q - 1165177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0*16\/400)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 15592001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 7:41 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4235 - 15 = 17*f. Let r = 469 + f. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -75010, -148213, -221416?\nAnswer: -294619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -4*u**3 + 4*u + 17. Let k(o) = 7*o**3 - 7*o - 35. Let v(p) = -3*k(p) - 5*w(p). Let l be v(0). Suppose 2*j = 36 + l. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0035244525 to 5 dps.\nAnswer: -0.00352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t - w + 345 + 2485, 2*w + 577 = t. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -84*u + 77*u + 596848. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*u**2*y**2 + 3*u**2*y - 4*u + 2*y**2 wrt u.\nAnswer: 6*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -515, -463, -353, -167, 113, 505, 1027, 1697?\n\"Answer: 3*r**3 + 11*r**2 - 2*r - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 4, z: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7244\/17 + 426. Let a = 5 + 0. What is the closest to 1\/4 in f, a, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15000728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16517, -66000, -148319, -263348, -410961?\nAnswer: -591032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-14)*(-10 + 17). Find the second derivative of -8*v**3 + 9*v - 3*v + q*v wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**4\/7 + 8*k**3 + 104*k**2\/7.\nAnswer: 2*k**2*(k + 2)*(k + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4023100 and 16100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/24 - (-35)\/4. Let g be p - 6 - (-25)\/(-9). Let s = -199 - -201. Which is the second smallest value?  (a) -2\/7  (b) s  (c) g  (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z + 23 - 2. Let y(o) = 4*o**2 - 8*o + 8. Let c be y(4). Let i be (c\/(-35))\/(2\/z). What is the greatest common divisor of 32 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0369 times 14220?\nAnswer: 524.718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -103, 2, 15, -236, 4 in ascending order.\nAnswer: -236, -103, 2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 10 = -4*j - 0, -2*b = 3*j + 11. Does 3 divide b\/6 + 2 + 655\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s**3\/7 + 13180*s**2\/7 + 1060392*s\/7 + 2996352 = 0.\nAnswer: -3213, -48, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 j when three letters picked without replacement from syysssoyjyy.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18293349 divided by -4.\nAnswer: -18293349\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -39753300.\nAnswer: 1\/39753300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 44*v**5\/13 - 238*v**4\/13 + 440*v**3\/13 - 310*v**2\/13 + 56*v\/13 + 8\/13 = 0?\nAnswer: -1\/11, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30585, -121060, -271867, -483018, -754525, -1086400, -1478655?\nAnswer: -1931302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -29 - -31. Suppose -t*k = -41 - 31. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 11016948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (90\/(-45))\/((-4)\/6*1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 12, k: 6}. Give prob of sequence xxkk.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 3 + 0 + -65 - (101 + -111).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of -q**5\/40 - q**4\/24 + 5*q + 3. Let w(t) be the first derivative of h(t). Find n, given that w(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {i: 5, g: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -4466 * 91\nAnswer: -406406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8\/40551375 and 29\/6?\nAnswer: 81102750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes after 11:02 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*d - 15*d - 3*d)*(-2*d**2 - 5*d**2 + 5*d**2) + 168*d**3 - 2 - 344*d**3 + 172*d**3.\nAnswer: 42*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 24 times 40114\nAnswer: 962736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 110 - 110. Let p = -23\/10 + 14\/5. Is p < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, u: 6, d: 4}. What is prob of sequence dod?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-12)\/(-21))\/((-4)\/(-14)). Let t(k) = k**2 - 2*k - 5*k**2 - 4*k + 1 + 5*k**r. List the prime factors of t(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/3 - 15*(-1)\/(-18). Which is the second biggest value?  (a) s  (b) -2\/7  (c) -5\/2  (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89*h + 2*l = 84*h, 3*l - 5 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.1  (b) -0.36  (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29 + -575. Let p = h - -604.5. Let v = -49 + 197\/4. Which is the biggest value?  (a) p  (b) -5  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, -7651\/4, 0.2, 0.04, 2\/7 in descending order.\nAnswer: 2\/7, 0.2, 0.04, -2\/5, -7651\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the first derivative of -13*q**2\/2 + 2*q + 5. Is k(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*z + 15 - 24 + 8 + 4*z + 0*z - 3*z + (6 - 4 + 0)*(2*z - z + 0*z) + 3*z - 4*z + 3*z.\nAnswer: 9*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -4 + (1*(2*(sqrt(175) + -1) - (sqrt(175) + -1)*4))**2 + -2)*3.\nAnswer: -120*sqrt(7) + 2103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -16172198 - -9682198. Round h to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 + 11 + o - 4*o)*(2 + 2*o**3 - 2 + (3 - 2 + 1)*(7*o**3 - o**3 + 2*o**3)).\nAnswer: -54*o**4 + 450*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - 5. What is the nearest to l in -1\/5, 4, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -976 = -29*l + 25*l. Let o be (-11)\/((-66)\/l) - 4\/6. Let g be (1 - o\/25)\/(-3). Which is the closest to g?  (a) 0.1  (b) 3  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29318 is divided by 3764?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 24.0370235 to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 21120122022 (base 4) in base 10?\nAnswer: 2459274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, f: 1, x: 5, a: 3, i: 3}. What is prob of sequence aa?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**(1\/6))\/n)\/(n\/(n*n\/(n**(-1\/5)\/n*n*n)*n))*(n**(-2))**(-6\/13)*n**(-2)*n**(-7)*n\/(n*n\/(n\/n**(2\/5)*n))*n\/(n**(-7)\/n) assuming n is positive.\nAnswer: n**(997\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6)\/(-7))\/((128\/(-28))\/(-4)). Factor 0 + 3\/4*o**4 - 3\/4*o - s*o**2 + 3\/4*o**3.\nAnswer: 3*o*(o - 1)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -967 - 3730 = -376*m + 943 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.1569675g?\nAnswer: 0.0000001569675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 3) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of -q**4\/12 - 5*q**3\/6 + 5*q**2\/2 + 5*q + 8. Let x(c) = -c**3 - 5*c**2 - 5. Let g be x(-5). What is h(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*j = -9*j - 42. Suppose 0*b = -j*b + 252. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 207987 and 2?\nAnswer: 415974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 33 + 14110?\nAnswer: 14143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 2:00 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10 and 42775.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r**2 - 2*r**2 + 2*r**2)*((0 + 2*r + 0)*(-1 + 1 - 2) + 5*r - 5*r + 3*r)*(-3 + 0 + 2).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 23*s - 11. Let f(h) = -11*h - 8 - 6 - 11 - 6 + 36. Calculate -9*f(a) - 4*y(a).\nAnswer: 7*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 6*w + 49. Let u be l(-11). Let d(r) = 10*r + 169. Let y be d(u). Which is the closest to -1\/8?  (a) 74  (b) y  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 2*i**2. Let x(b) = 1749*b**2. What is x(a(s))?\nAnswer: 6996*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4364 + 4417. Solve 33 - 245 = s*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 + g**2 - 87*g - 19. Let j(w) = -w**2 + 85*w + 12. Calculate -3*f(t) - 4*j(t).\nAnswer: -3*t**3 + t**2 - 79*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 420188104 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 4*y - 41 = -5*b, -6 = -4*y + 2*b. Suppose 2*a - 10 = -y*u, 7*u - 25 = 3*u + 3*a. Put u, -5, 5 in descending order.\nAnswer: 5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*v - 2 - 15*v**2 - 5*v - 5*v**2 to c + g*v + l*v**2 and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2333423714 to the power of 1\/3, to the nearest integer?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 13605 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.43005 micrometers to centimeters.\nAnswer: 0.000843005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 23189 greater than 22218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1263 and -1.4.\nAnswer: 0.17682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 77217448 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -18834780 divided by 5\nAnswer: -3766956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 73004555?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 287*s**2 - 106*s**2 - 180*s**2 - 343*s to the form x + d*s + w*s**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ueujuujjmmmmjeej. What is prob of sequence euu?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 59*o**2 + 62*o - o - 62*o + (0*o**2 - o**2 - o**2)*(-1 + 0 + 3).\nAnswer: 55*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8 or -186\/23?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from mkmnuuakmnakmmnnxuaa.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -81 - 183. Is v a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -2*h - 18. Let x(k) = 91538*k**2. Give y(x(c)).\nAnswer: -183076*c**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 25\/30 - (-2)\/((-372)\/191). Put -0.3, 5, f in descending order.\nAnswer: 5, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 837611905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27 - 23 + 14 + 2*q)*(-2 - 2*q + 2).\nAnswer: -4*q**2 - 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 3. Let y = 2 - h. Let b(u) = 3*u + 1 - 3*u - 3*u. What is b(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4858281851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(51) - (2*sqrt(4131) - sqrt(51)))\/(sqrt(3) - (sqrt(3) - sqrt(21)\/(sqrt(35)\/sqrt(5)))).\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the first derivative of -31*y**4\/24 + 35*y**3\/6 - 11*y**2 + 6. Let s(k) be the second derivative of p(k). Differentiate s(m) with respect to m.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2437, -4907, -7365, -9805, -12221, -14607, -16957?\nAnswer: -19265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 50 = 4*u, u - 3*f + 246 - 262 = 3*u - 10*f for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of 1095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -382*b**2 - 2666*b + 154. Give l(-7).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 49.5 - 20. Let w = -2655482.49847 + 2655453. Let l = w + p. What is l rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18 is divided by 85\/15 + (-2)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) -0.037  (c) 0.5  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 79287 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2869 - -7?\nAnswer: 2875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*g*j**4 - g*j**3 + 68*g - 15*j**2 wrt j?\nAnswer: -12*g*j**3 - 3*g*j**2 - 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 - 1. Let t = 170 + -171. Let l(q) be the first derivative of -5*q**4\/2 + 2*q**3\/3 + 12*q + 2. Determine t*l(f) - 12*i(f).\nAnswer: -2*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -5*q + 9. Let c(w) = w. Let n(t) = -4*c(t) - i(t). Suppose -5*d + 12 = -d. Suppose 0 = -r - d*r + 20. Give n(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k - 2*k - 4*k)*(-15 + 2*k - 23 - 3*k)*(1 - 1 + 2*k).\nAnswer: 4*k**3 + 152*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*w + 0*w - 1 - 3*w - 3*w.\nAnswer: -4*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 + 210798.465.\nAnswer: 210798.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:23 AM and 12:35 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1093 + 100. Let j = s + -833. Calculate the remainder when j is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2782, 3107, 3636, 4369, 5306, 6447?\n\"Answer: 102*y**2 + 19*y + 2661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -21 (base 12) to base 7\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 39 and 69260997?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17117 is divided by 531.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.841 - 1.965. What is the biggest value in -1\/5, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3.1 and 6860.8.\nAnswer: 21268.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3240344 and 2088.\nAnswer: 29163096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*s**2 - 3*s**2 + 0*s**2)*(-2 + 1 + 0) - 3*s**2 + 3*s**2 - s**2 + 903*s + 33*s**2 - 903*s to n + p*s + u*s**2 and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 909 - 849 = 3*d. What is the least common multiple of 108 and d?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 3*p + 4. Let o(x) = x + 2. Let k be o(-6). Let t be s(k). What are the prime factors of (26\/t)\/((-3)\/12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 18*d = -21*d, 4*w + d = -25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1131905\/4 - 285194. Let m = x + 2218. Factor 0*c + m*c**4 + c**2 + 0 - 5\/4*c**3.\nAnswer: c**2*(c - 4)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from seesseee. What is prob of sequence eess?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15da7 (base 16) to base 14.\nAnswer: 24899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2471 - -2467. Sort -3, a, -0.046 in ascending order.\nAnswer: a, -3, -0.046","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*2*65\/26\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 3372, 4, -13\/21?\nAnswer: 3372","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i = -0*i - 3787. Suppose 4*b = 5*k + i, -130 = -0*b - b + 3*k. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:51 AM and 8:03 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 16 = 5*l + 14, -4 = l. Let s be (15\/q)\/((-6)\/4). Solve -5*t - s*y - 4 = -t, -20 = -5*y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6 - 26060\/(-12))\/((-3)\/18). What is b rounded to the nearest 100?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 + 30*x**2 - 34*x - 83. Let u be y(-31). Let q be (1 + -1)\/(-1*1). Let r(g) = 10 + q*g**2 - u + g**2. Let a(d) = 19*d. What is a(r(v))?\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 56 and 607516.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of 1285*g**2 - 1837*g + 2602. Differentiate n(o) wrt o.\nAnswer: 2570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100110110111000 + 11?\nAnswer: -100110110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 AM and 3:12 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -26084 and -3.\nAnswer: 78252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 133.619 + -3.\nAnswer: 130.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16.67 + 16.17. Which is the third biggest value?  (a) f  (b) 3\/2  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 55027 - -176?\nAnswer: 55225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/70)\/((-38)\/3325)*12\/(-10)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 957 - 81 = -2*n, -3*n + 2*m = 1313. Let x = n - -741. List the prime factors of x.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/7, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1635001 is divided by 1592.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41811.\nAnswer: 3, 7, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 63235.796 to the nearest 10.\nAnswer: 63240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 363\/1677661 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 62 - 57 = -4*w, 0 = 2*w - 3*m - 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 22110241 + -12?\nAnswer: 22110224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/11 or 2\/8475?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -851*g**2 + 589*g**2 - 1275*g**2.\nAnswer: -1537*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 143345214 (base 6) to base 7\nAnswer: 34143661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 169445904 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.85789111 rounded to 2 decimal places?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15\/26 or 145127?\nAnswer: -15\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000464139735 rounded to 7 decimal places?\nAnswer: -0.0000464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 106 and 71225.\nAnswer: 7549850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - -3. Let b(n) = -2*n - 8. Let w be b(-6). Let k(h) = h + 4. Let a(s) = 1. Calculate w*a(r) + z*k(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gggggvgggv. Give prob of sequence ggvg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**4 - 3*u**3 - u. Let n(x) = -6*x**4 - 4*x**3 + 63*x**2 - 88*x. Let w(r) = -14*m(r) + 2*n(r). Factor w(h).\nAnswer: 2*h*(h - 1)*(h + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1187379?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.5 - 5.5. Let z = 2.9999994 + l. What is z rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -2*p - 1. Let j be -4 - (-4 - 2\/(-1)). What are the prime factors of h(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93 is divided by 42.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-148)\/(-8) - 1\/(-2). Let j = 63 - 44. What is the highest common divisor of j and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 32 + -27. What is the least common multiple of 33 and w?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 186709 and -2?\nAnswer: -373418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 729666 and 4065282.\nAnswer: 28456974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 3 + 0)*(7*f - 3*f - 2*f)*(-4*f - 9*f + 9*f).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*j + 3*j + 6. Let q be (-6)\/9 + j + 2. What is the nearest to q in -2, -2\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 108*s + 0*s**4 + s**4 - 3*s**4 - 111*s + 1 - s**2 - 2*s**3 as b*s**4 + o*s + t + f*s**2 + k*s**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is 110370343 to the power of 1\/3, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 41430933 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: What is 385 minutes before 3:02 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f - 466 + 179 - 152 + (2 - 3 + 3)*(1 + 2*f - 1).\nAnswer: 3*f - 439","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -35360000 rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of -s**6\/360 - s**5\/12 - 11*s**4\/24 - 32*s**3\/3 - 101*s**2. Let v(o) be the first derivative of a(o). Determine v(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/832719 and -7\/40.\nAnswer: 33308760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**4\/6 + 15976993*v**3\/6 + 14181351183280*v**2 + 75525139830848738816*v\/3 + 75525097286803177472\/3.\nAnswer: (v + 1)*(v + 5325664)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -6*y - 25. Let m = y + 14. Suppose -3*h + 9 = -m. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 + 8*j**2 + 11*j - 11. Suppose p - 10 = 2*w, 10 = -0*w - 2*w + 5*p. Let n(d) = -10*d - 41. Let x be n(w). Let b be y(x). Sort 4, -4, b.\nAnswer: -4, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*v**3 + 9*v**3 + 5*v**3 - 15*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - i = 15, -522*i = -3*l - 527*i - 39 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3632*c - 4*g - 11 = -3633*c, 0 = -5*g - 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 13*d + 15. Let x(b) = -7*b - 8. Let v(i) = -6*w(i) - 10*x(i). Let k(j) = -j - 1. Calculate 20*k(n) - 2*v(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/7840 and 121\/2940.\nAnswer: 23520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 4*k**2 + 776152*k - 3104672 = 0.\nAnswer: -194042, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 99, -267, -853, -1659, -2685, -3931, -5397?\n\"Answer: -110*z**2 - 36*z + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 - s - 5. Let y be n(0). Let o be (-8)\/(3 + 0 + y). Solve 3*l - o = 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 17877, 35768, 53655, 71538, 89417, 107292?\n\"Answer: -2*k**2 + 17897*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2\/3 - 359492*r\/3.\nAnswer: -2*r*(r + 179746)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that h**3\/4 + 43*h**2\/4 + 79*h\/4 - 123\/4 = 0.\nAnswer: -41, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 12 in 1\/9, -3, 0.03?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) -0.11  (b) 43574  (c) 5  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 353 + 1026?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*j + 4 = -1205. Solve 2*i = j - 19 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 18 - 3. Suppose 0*z + 4 = -2*z. Let r = 5 + z. What is the lowest common multiple of r and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 47348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1)*g*g)\/(g**(-2\/9)*g)*g**(-4\/7)*g\/g**(-4)*g*g assuming g is positive.\nAnswer: g**(419\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 14 = 5*h, 4 - 2 = -q + h. Let j = 5 - q. Calculate the greatest common factor of 110 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -206*m - 8*m - 29956 = 42*m - 5636 for m.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -598.7 - -597.7. Let o = -11.92 + 12. Let k = o + 0.32. What is the second biggest value in 0.1, x, k, -17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -f - 13, -2*f + 1 = 4*z - 29. Solve z*l = 15 - 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46.1 less than -86120314210?\nAnswer: -86120314163.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 5 - 3*i - 2*i + 4*i. Let n be h(0). Let q(d) = d**2 - 3*d + 4. Let c be q(4). Solve -c - 7 = n*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-240)\/8280)\/((-81)\/(-2484)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate j*r*w**2 - 591*j*r + 153*j*w - 112*j + 213*r*w**2 + 15*w**2 wrt r.\nAnswer: j*w**2 - 591*j + 213*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b**6 + 27*b**5 - 10*b**2 + 5?\nAnswer: -240*b**3 + 1620*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 AM and 4:23 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48651 is divided by 3471.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u + 2. Let z be k(-7). Let a(h) = -h**2 - 5*h. Let q be a(z). Let m = 0 + 1. Is q at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 8 = 0, -7*d - 2574 = -11*d - 5*c. Suppose 52 - d = -9*j. Is 28 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3037 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(203\/(-319)) - (1 + 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1912 is divided by 536.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3060.239 - -0.2.\nAnswer: -3060.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 212 and 36782?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9072 and 10626714?\nAnswer: 85013712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a + 0*a - 3 + 27 + 4*a**2 + 2*a**3 + 69*a**3.\nAnswer: 71*a**3 + 4*a**2 - a + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 46610.5mm in centimeters?\nAnswer: 4661.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -8614453.865 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3 and (-1)\/5 + 4*93\/60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (140\/49)\/(15\/42) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 732 - 720. Let k(d) = d + 2. Calculate the least common multiple of z and k(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.9604804 - 4.\nAnswer: -1.0395196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 + 12*v + 3. Calculate the remainder when 88 is divided by o(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 49318005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 9010189.3 rounded to the nearest 100000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 12:46 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + 9 + (-29 - 1) + 39 + -30.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 - 33*w**2 + 148*w - 7617. What is v(35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/(-15) - (-2714)\/2301?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110402441 (base 5) in base 9?\nAnswer: 813584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 199*j**2 - 527*j**2 + 1145*j**2 + 0.\nAnswer: 419*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 51955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-13) - ((-12)\/18 + (-2580)\/(-2574)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*j - 718 = -94. Calculate the remainder when 105 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1048 and 660.\nAnswer: 172920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 12211133 (base 4) in base 11?\nAnswer: 192a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g\/(g**1*g))\/(g**(-2\/17)\/g))**(-26\/7))**36 assuming g is positive.\nAnswer: g**(-17784\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4257 is divided by 147?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - (9\/(-27))\/(1\/15). Suppose 2*j - z*j + 6 = 0. Suppose -67 = -j*g - 4. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 7 = -3. Let s be ((-63)\/(-27))\/(z\/6). What is the highest common factor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.5 + 1.5. Let g = 0.2 + -0.3. Which is the closest to g?  (a) -0.4  (b) -2  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that g**2\/3 - 4054444*g\/3 + 4109629037284\/3 = 0.\nAnswer: 2027222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -37*c**2. Let m(j) = j - 4195. What is m(r(h))?\nAnswer: -37*h**2 - 4195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000269217966 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22 - 16. Suppose -2*d + 4*u + 8 = 0, 2*d - n = 2*u - 2. Suppose -5*m + 29 + 31 = d. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 7*t**2 + 4*t - 3. Let r(v) = v**2 + v. Determine 4*r(i) - y(i).\nAnswer: -3*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2787857256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/(-480)*1180 + -36?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -127  (b) -0.2  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*n*s*u**2 + 865*n*s*u - 2*n*s + 3*n*u**2 - n + 82*s*u**2 - 4*s*u - s + u**2 wrt u.\nAnswer: 4*n*s + 6*n + 164*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1465, -1225, -983, -739, -493, -245, 5?\n\"Answer: l**2 + 237*l - 1703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2498947019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2  (b) -1.144  (c) 2\/175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1666 and 4?\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17058 + -3965. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 + -144?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 851 and 276?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*x - 2895324 = -78*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 352 = 5*s - 3*s. Let n = s + -103. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of -c**8\/1680 + 2*c**7\/525 - c**6\/300 - c**5\/75 + c**4\/40 - 9*c**2 - 4*c. Suppose l(w) = 0. What is w?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 + 11. Calculate the remainder when 33 is divided by 6 + (c - 2 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 9, e: 7}. Give prob of picking 2 e.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (485*r - 485*r - 41*r**2)*(2*r**3 + 2 - 2) + ((4 + 0 - 2)*(-2 + 0 + 3) - 6 - 2 + 2)*(3*r**5 - 3*r**5 - 2*r**5).\nAnswer: -74*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 1 = -2*x - 3. Let n = 49.5 + -50. What is the nearest to -0.1 in x, n, 34?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6554*v**2 - 603*v**5 - 6554*v**2 + (-5*v**4 + v**4 + 2*v**4)*(0*v + 2*v + 0*v).\nAnswer: -607*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 110110 (base 2) in base 12?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -4*v. Suppose 2*o = 6*o. Let j(z) be the second derivative of 0*z**2 + o*z**3 + 3*z + 0 + 1\/12*z**4. Calculate j(f(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.296 - 1.196. Let b = 84 + -81. Let s be (1 - (-11)\/(-6)) + 1. What is the closest to o in b, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8836097 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 6078 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33 - -36. Suppose -2*h + a + 24 = 2*h, -18 = -t*h + a. Calculate the greatest common factor of 54 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -1*(5 + sqrt(637) - (-3 + sqrt(13) + 1)).\nAnswer: -6*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z + 51. Is 17 a factor of a(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -8*o**2 + 105*o - 12. Let w be t(13). Let m(y) = y**3 + y**2. Let h(q) = 5*q**3 + q**2 + 21. Calculate w*h(g) - 3*m(g).\nAnswer: 2*g**3 - 2*g**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**6*q**(-9))\/(q**(-1)\/(q\/q**(-2))) assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*t + 0)*(-519 + 519 - 62*t) + (-t + t - t)*(4*t + t - 6*t) + 6*t**2 - 3*t**2 - t**2.\nAnswer: -121*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2. Suppose 0 = 2*v + 2*v - 5*n + 15, -v = 2*n - 6. Let l(x) be the first derivative of v*x - 2 + 3\/2*x**2. What is l(c(g))?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -2*d + 4*p + 16, -2*d - 5*p = -3. Suppose 10 = -3*u + d*u. Suppose u = -0*h + 2*h. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 18*j**2. Let q(x) be the second derivative of 25*x**4\/12 + 2*x**2 - 13*x + 94. Give q(b(d)).\nAnswer: 8100*d**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-164)\/328 + 1854\/(-16) + 0. Which is smaller: -116 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -9 + 1. Let w(h) = h**3 + 3*h**2 - 4*h + 4. Let q = -10 + 6. Calculate the least common multiple of z and w(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 32*n**3 + 232*n**2. Let x(k) = -16*k**3 - 117*k**2. Let y(a) = 7*x(a) + 4*z(a). What is the third derivative of y(v) wrt v?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -985 + 990. What is the greatest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 2 + 5*l + 0 - l**3 - 2*l**2 - 4 + 4. Determine x(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrhrrhhrrrr?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(1 + sqrt(12))**2.\nAnswer: -52 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(25\/5))\/5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddppmvzjdzvjvv. What is prob of sequence zvj?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*v**2 + 1 - 1 - 10*v**6 + 8*v**2 wrt v?\nAnswer: -1200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10374 + 10429 - (-1 + -23)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 5, g: 7, f: 7}. What is prob of sequence gggg?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*t**2 - t**2 - 23*t**2 to f*t**2 + i + c*t and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 157649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d - 4*d + 3*d)*(5*d**3 + 0*d**3 - d**3 + (-2 + 2*d**2 + 2)*(4*d - d - d) - d**3 + 2*d**3 + d**3).\nAnswer: -10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -974 = 7*t + 146. Let o = t - -281. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 262*11\nAnswer: 2882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, z: 1, y: 3, u: 4, r: 5}. What is prob of picking 1 z, 1 x, and 2 r?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -2018*x - 2032*x + 4048*x. Let y(v) = 2*v**2 + 432. Determine u(y(j)).\nAnswer: -4*j**2 - 864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 5) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.102 less than -662.579?\nAnswer: -662.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1804 by -5.\nAnswer: -1804\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 13 - 29. Let u(y) = 32*y + 260. Let i be u(-7). Calculate the greatest common factor of f and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85757 = q + 3*j, 2*q + 153*j = 151*j - 171518. Round q to the nearest one thousand.\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4119966 is divided by 454.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 7 - 9\/(-39)) + 1*-6?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -1418 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 255 - 231. Calculate the highest common factor of 88 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -261818599\/1298 - -201709. Let u = v - -5\/22. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -79*z + 40*z - 15*z**3 + 37*z - 5 wrt z?\nAnswer: -90*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 43767 by -5.\nAnswer: -43767\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 - -14 - (-6 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -42\/17  (b) -0.1  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000002828 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002815184 rounded to 5 decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*m**3 - 165*m**2 + 2452*m?\nAnswer: -36*m - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45738752 is divided by 2938.\nAnswer: 2906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 198 = -t, 0 = -2*q - 4*t - 136 + 28. Suppose -d = 3*j + 89, 3*d - d = 8. Let w = j - q. What is the remainder when 54 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*v + 4 - 4)*(-v**2 - v**2 + 3*v**2) - 4*v**3 + 0*v**3 + 7*v**3 to w*v + n + u*v**2 + l*v**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 800000 = 4*s, 4*x - 3*s - 43344 = 756656. What is x rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 89*l - 197. Let k(q) = 30*q - 65. Let d(a) = -3*b(a) + 8*k(a). Does 26 divide d(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -32 + 45. Let n = a + -9. What is the least common multiple of n and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -2*r**3 - 12*r**2 - 2*r + 9. Calculate k(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*o + o - 2*h - 80, 120 = 6*h - 9*h - 45 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -119360 or -119361?\nAnswer: -119361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -599*k = -576*k - 46. What is the nearest to 6 in -5, 0.02, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, 2, -46 in ascending order.\nAnswer: -46, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 33329 or -37?\nAnswer: 33329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 9) + (-12 - -15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 31592746?\nAnswer: 126370984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -169 + 189. Let r = -21 + t. Which is the nearest to r?  (a) 5  (b) 3\/2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**4\/5 - 16*f**3\/5 + 73*f**2 - 348*f\/5.\nAnswer: -f*(f - 12)*(f - 1)*(f + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 2*r + 12 = 0, 0*r + 4*r - 23 = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2*b**3 + 4)*(967*b - 1603*b - 1802*b) - 2 + 2*b**4 + 2.\nAnswer: 4878*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1096267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000992957 rounded to 7 decimal places?\nAnswer: 0.0000993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 23 = 2*d, -18 = -0*n - 2*n + 2*d. Suppose n = -3*v + 2*v, j = -2*v - 3. Let h(b) = -j*b + 4*b + 4*b. Determine h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2*m - 41391. Let k(x) = 16*x. What is k(u(j))?\nAnswer: -32*j - 662256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 15\/12 - 2 - -1. Let r = 2019\/85 - -487\/17. Let p = 52 - r. What is the closest to j in 2, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 22 + 3*t**2 - 5*t**2 + 126 + 34 - 10 in the form p*t + d*t**2 + i and give i.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 2*f, -3*h - 3*f - f - 40 = 0. Sort -3, -5, h in descending order.\nAnswer: -3, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 51, 60, 75, 96, 123, 156, 195?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j**3 + 0*j**3 - 14*j - 327*j**2 + 3*j**3 - 8*j + 15*j.\nAnswer: 2*j**3 - 327*j**2 - 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -9827 < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 903*k - 878*k = -50 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -157.8 - -162.8. Sort -7, n, -0.09 in ascending order.\nAnswer: -7, -0.09, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 + 40*k**2 - 48*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 10 = 6*r. Let m = 163 - r. Is (m\/(-8))\/((-4)\/112) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 4 + 2)*(3*t**4 - 2*t**4 + t**4) + 0*t**4 - 2*t**4 + 3*t**4 - 3*t**2 - 23089*t**3 + 27*t**4 - 23076*t**3 + 46154*t**3)*(2*t - t + 2*t).\nAnswer: 72*t**5 - 33*t**4 - 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q - 5. Let f be r(-7). Let d = -92 - -108. Calculate the greatest common divisor of d and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -2676*r - 143. What is the tens digit of s(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2 + 1)\/((-126)\/24 + 6). Let m(f) = 6*f - 21. Let n be m(r). Suppose n*k - 33 = 18. Solve 2 - k = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43288999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -r + c, -r - 2*c = 3*c + 1. Let b be 3 - 2 - (1 - r). Let s be ((-1)\/(-3))\/(b\/(-3)). Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.04 - -4.04. Let f = -1 + -1. Let s be (f + 1 - 2) + 1. Put -1, k, s in ascending order.\nAnswer: s, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/18*(0 - (0 + 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/(-2))\/1*(-96)\/48?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 41*r**2 + 15*r + 4. Let s be c(-11). Suppose z = -2*z - s. Round z to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 2 l when four letters picked without replacement from lllllllllllllllllllf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n**3 + 2128*n**2 - 80496*n + 736128 = 0.\nAnswer: -568, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11.2 - 9.6. Which is the biggest value?  (a) -2  (b) f  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 - 10. Let x(r) = -r**3 + 8*r**2 + 9*r - 2. Let j be x(9). Let p be (j\/8)\/(-7 + 8). Which is the third biggest value?  (a) p  (b) -4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + ((-25 - -11) + 6 + (-1 - -3) - -37)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-3 + 5 - 1)*(415*h**2 + 403*h**2 - 982*h**2) + (4 - 3 + 1)*(25*h - 25*h - 10*h**2))*(2 - 2 - 2*h) to k*h + p + i*h**2 + v*h**3 and give v.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54 (base 9) to base 15.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 31\/4 + -349\/44. What is the closest to -1 in -7\/2, r, 2\/9, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.87 * -3.7\nAnswer: 3.219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -24d + -3?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 22.5 times 2?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -3.626.\nAnswer: -0.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20034303.\nAnswer: 3, 19, 351479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 2*n - 3. Let u(a) = -2*a + 3. Calculate 4*r(h) + 5*u(h).\nAnswer: -2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 509.3329 years to millennia.\nAnswer: 0.5093329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170)*-3 - sqrt(170))*2 + sqrt(170) + sqrt(170) - sqrt(170))\/((sqrt(810) + sqrt(810)*-2 - sqrt(810)) + sqrt(10)) + 5.\nAnswer: 7*sqrt(17)\/17 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17\/(306\/(-48))*1\/(-8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 9575, 9213, 8851, 8489, 8127?\n\"Answer: -362*p + 9937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -32*k**3 - 316*k**2 - 760*k + 100.\nAnswer: -4*(k + 5)**2*(8*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 24*v**2 - v - 3. Let k be b(-1). What is the highest common divisor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 3*a = 4*y - 27, 15 = y - a. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 11:28 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 4*s**5 - 67540*s**4 - 1758760*s**3 + 270160*s**2 + 7034976*s = 0.\nAnswer: -26, -2, 0, 2, 16911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6595809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (3318\/5451)\/(70\/30)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 3*u = -0*u. Solve 5*d - 15 = u, 8*o + 8 = 4*o - 4*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2319841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + 5*y - 40, 5*k + 2*y + 3 = -23. Let o be (3\/k)\/(4\/32). Let x = -0.3 - -5.3. Sort x, -2, o.\nAnswer: o, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = 4*v - 3*h, -h + 12 = -2*v - 6*h. Let t = 16 + v. Let p = -1 - t. Which is bigger: -4 or p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19494203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1874 + -1877. Put w, -9, 16 in descending order.\nAnswer: 16, w, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -1. Let t = 29.8 + -7.4. Let y = t + -22.8. Which is the smallest value?  (a) f  (b) y  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*g**4 - 15*g**3 - 2*g - 24 wrt g?\nAnswer: 72*g**2 - 90*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -134476234 - -134476256.0000046. Let f = 22 - k. What is f rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 31007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2353\/15 + -157. What is the closest to 0 in 0.2, 3\/8, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 57 + -59. Let z be (y + 21\/9)*(10 + -4). Solve z*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ftxtxxffftfftp. What is prob of sequence ftp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 - 31543051303?\nAnswer: -31543051302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23797 is divided by 119?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -777 (base 9) in base 13?\nAnswer: -3a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -245830162 + 3494.2.\nAnswer: -245826667.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 429 + -425. Suppose o + k*t - 90 = 0, 4*o + 2*t - 432 = -o. What is the greatest common divisor of 301 and o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -15*s + 610. Let r be d(41). Sort -3, 5, 71, r in increasing order.\nAnswer: r, -3, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32.94917l to millilitres.\nAnswer: 32949.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from yyyzzz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 294 divided by 3?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/21)\/((-3)\/((-360)\/1558) - (1133 + -1120))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1371 - -1377. Solve 0 = -5*t + 10, 3*d + 10 = z*d + 5*t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6194553 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7)\/(-42) - (-10)\/(-204). Let i = -916 + 916.01. Let j be (-6)\/(-4)*1\/4. Sort j, i, z in increasing order.\nAnswer: i, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 446 + -165. Let d = -57 + q. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 363733 times 0.1?\nAnswer: 36373.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -15 - -312032?\nAnswer: 312013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*d*q**3*z + 230*d*q - 31*d*z - 2*d - 2*q*z + z + 2 with respect to q.\nAnswer: 9*d*q**2*z + 230*d - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 24*t**2\/17 - 106*t\/17 + 60\/17 = 0?\nAnswer: 2\/3, 15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 3*q**2. Let d(y) = -367*y. Give d(r(x)).\nAnswer: -1101*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-56)\/7 + 1\/(-1). Let u(t) = 10*t - 30. Let o(n) = n - 4. Let x(k) = 24*o(k) - 3*u(k). What is the units digit of x(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*k - 10*k - k)*(2*k + 1 - 1).\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -191755 - -191686.9746. Let x = 68 + m. What is x rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*f - 6*f + 3*f + (2 + 0 - 1)*(4*f - 2*f - 3*f) - 6*f + 28*f - 10*f + 3*f + 4*f - 5*f + f + f - f to the form z + u*f and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rqqx when four letters picked without replacement from {t: 2, x: 7, r: 6, q: 1, j: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20 - -21. Let u = 0 - i. Which is the nearest to -4?  (a) u  (b) -0.5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1046 divide 201630098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3 - (12 - 6)\/6) + 1. Let k(q) = 84*q**2 - 7*q - 8. What is the hundreds digit of k(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -7*v - 22. Suppose 0 = 4*m + 14 + 18. What are the prime factors of u(m)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 58?  (a) 4  (b) 7  (c) 23\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {a: 1, t: 5, v: 7, i: 1, e: 5}.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.302 + 0.396. Let z = -0.1465 + -1.7595. Let o = z - k. Which is the second smallest value?  (a) -2\/3  (b) 0.2  (c) 0.33  (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 50350 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.186021 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 138 a factor of 35466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**2\/6 - 871*g\/6 - 38885\/3.\nAnswer: -(g + 101)*(g + 770)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*-12909779\nAnswer: -1290977.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 94*m**3 + 121*m**2. Let f(o) = -376*o**3 - 60*o**2 + 151*o**3 + 178*o**3. Let y(n) = -9*f(n) - 4*j(n). Find the third derivative of y(h) wrt h.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/7 in 0.4, 4\/5, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -3*k**3 - 779*k**2 - 7981*k - 3248. Determine j(-249).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b**4 - 3*b**4 - b**4)*(-21*b + 65*b + 4*b - 19*b).\nAnswer: -58*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 753*b**3 - 17*b**2 - 34*b - 68. Let l(i) = 251*i**3 - 6*i**2 - 12*i - 25. What is 6*g(w) - 17*l(w)?\nAnswer: 251*w**3 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 123312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, -93, 7\/12?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 612518779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 262064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(7\/3)\/j**(-1\/11))\/((j\/((j\/(j*j*j**(1\/6)*j))\/j))\/(j\/(j\/(((j\/(j\/(j**(1\/12)*j*j)))\/j)\/j)*j*j))) assuming j is positive.\nAnswer: j**(-161\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/7, -0.2, 3, -185\/11, -0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 9  (c) 2\/9  (d) -0.01  (e) -895\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 133141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in p**3 + 552125603*p - 552125603*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -0*z. Let d = -113 + 116. Let b be (69 + -81)*2\/(-3). Solve z = -b*n + d*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*w + 29 + 19 - 51.\nAnswer: 5*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 + b - 2. Let n be j(2). Suppose 6 = n*o - 42. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -133, -287, -429, -553, -653, -723, -757?\n\"Answer: u**3 - 161*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 f, and 1 x when three letters picked without replacement from {f: 2, v: 1, c: 1, x: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3.9 and -1461469370.77.\nAnswer: -1461469366.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 12:27 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2481 and 1023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-n - 3 + 3)*(-3*n - 2*n**2 + 3*n)*((-2 + 0 + 3)*(0 + 2 - 4) + 0 - 3 + 1 + 45 - 18 + 117) to f*n + x*n**2 + w*n**3 + b and give w.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*1*(-24 + 25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/2 and 16\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + u)*(3*u**3 - 5*u**2 + 5*u**2 + (5*u + 2*u - 5*u)*(-5*u**2 - 2*u**2 + 4*u**2) + 2*u + 2*u**3 - 2*u) - 2*u**3 - 2*u**3 + 2*u**4 + 3*u**3.\nAnswer: u**4 - u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.01615+0.49441\nAnswer: 0.47826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 344718546 to the power of 1\/2, to the nearest integer?\nAnswer: 18567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -106.169071 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/8, -0.5, -2\/11, -1, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4728720 and 508740?\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 119*m - 24 = -2*w + 114*m, 0 = -129*w + 3*m + 117 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.042 - 0.042. Which is the third biggest value?  (a) 2\/5  (b) 2  (c) k  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00039061238 rounded to five dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/12 greater than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12931443 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 15174391 - 3?\nAnswer: 15174388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 75605459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3213?  (a) 4  (b) 1  (c) -1\/124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -156, -263, -372, -483, -596, -711?\n\"Answer: -i**2 - 104*i - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 2*l = -0*l + 14, l = -3. Suppose g = v + 3*c, -4*v - 16 = 6*c - 2*c. Let t(j) = -j**2 - 12*j - 30. Let a be t(v). Solve 0 = s + a*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 470\/(-329)*-1 + 1185\/(-21) + -6.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m - 61 = 79. Let v = 16 + m. Is -32\/7 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2417 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 - 9*r + 1. Let b(y) = -2*y**2 - 18*y + 4. Let f(m) = 3*b(m) - 5*p(m). Let v be (7\/(-4))\/((-2)\/(-8)). List the prime factors of f(v).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -70 + (172 - (55 - 4))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1081310\/45 + (-27)\/243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*b - 10 = 3*b. Suppose 3*c + 358 = 5*o + 362, -2*c = -3*o - 3. Solve f - o - b = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6151170893 rounded to the nearest one million?\nAnswer: -6151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -829*k**4 - 14*k**2*u**3 - 3*u**3 + 4452*u wrt k?\nAnswer: -3316*k**3 - 28*k*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2420 - -3571. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of -9 - (-8)\/(-12)*-5028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 + 6*z + 4. Let x be w(6). Sort 3, x, -1 in descending order.\nAnswer: x, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of 3*a**5\/20 - 5*a**2\/2 + a + 1. Let k(r) be the first derivative of s(r). Differentiate k(j) wrt j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -55, 0.\nAnswer: -55, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 11315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/19, -2, 2\/13, 1\/6 in ascending order.\nAnswer: -2, 2\/19, 2\/13, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 less than 24764029201.7?\nAnswer: 24764029200.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1321 (base 5) to base 2.\nAnswer: 11010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/(9 + (-3 - 1)). Put -4, 4, v in descending order.\nAnswer: 4, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31955830.\nAnswer: 2, 5, 83, 38501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 22 = 3*p, 4*p - 15 - 1 = 3*x. Let r(v) = -3*v - 24. Let q be r(x). Suppose q = -f + 47 + 21. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 47545874*l**5 - 186551*l**2 - 8 wrt l?\nAnswer: 2852752440*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (800\/50)\/(1*-1)*129\/(-12) is divided by 164.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558515 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: Evaluate 1*12\/(-9)*108\/(-72).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*i**2 - i**3 + 4*i**3 + i**3 + 228*i - 226*i - i**4 to p*i**3 + r*i**2 + w*i + m*i**4 + u and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is (4\/(-12))\/((-3)\/873) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 169512 and 10486?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206334314 is divided by 108.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(300)*2 - -2*(2*sqrt(3) - sqrt(3)).\nAnswer: 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2a + -1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -b**2*m - 5*b**2*t - 18*b*m*t + b - m wrt b?\nAnswer: -2*m - 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1376 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + 2. Suppose -12 = -n - 5*k, l*k = 4*n + k - 117. Suppose n = w + 1. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.67 - -0.87. Let j = -26.09 + 25. Let w = -1.09 - j. What is the nearest to w in l, -5, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 160 + -160.12. What is the second biggest value in n, -3, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 703658647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 336726 divided by 39?\nAnswer: 8634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 106301*k**6 - 20682*k**2 - 2*k + 2.\nAnswer: 12756120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*p**3 + 3*p**3 - 2*p**3)*(-2*p - 1 + 1) + 10*p**4 - 6089*p**3 - 9*p**4 + 6446*p**3 to the form o*p**3 + b*p + d*p**2 + j*p**4 + w and give o.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*g + 8 = 48. Solve i = 4*j, 0*j = -g*j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 2*s - 10 = 6*y, -5*y + s = 5. Suppose 69*v - 91*v + 220 = 0. Solve -6*z - k + v = -3*z, y = -z - 2*k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 106 + -94. What is the second derivative of 37*h**3 + 24*h + 11*h**3 + 4*h**3 - l*h**3 wrt h?\nAnswer: 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 5*b + 33. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1057157 to the power of 1\/2, to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 53*c + 4028. Let d be o(-75). Is d > -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -72877*d**2 - 12*d**4 - 17*d**3 - 9*d**3 + 72874*d**2 - 1 in the form f*d**4 + g + j*d**2 + m*d + x*d**3 and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2. Let c(z) = 33*z - 11. Calculate c(y(u)).\nAnswer: 33*u**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20 and 3590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6512 - 6511.9. Which is the nearest to t?  (a) -4  (b) 28\/11  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3452567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -72  (b) -2  (c) -1\/2  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.3 + 1.2. Let x = -0.1 - h. Let j(i) = -i + 9. Let f be j(10). Sort x, f, -2\/13.\nAnswer: f, -2\/13, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -31*j**3 - 212118*j**2 - 37747138.\nAnswer: -93*j**2 - 424236*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 31567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 425 = 4*k + 7*i - 2*i, 0 = 3*k + 4*i - 320. Let v = -97 + k. Solve v*t + 1 + 2 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.36 + -0.44. Let l = 4 + n. What is the closest to 2\/5 in l, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36911?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 69 in 19.1, 0.1, -2513?\nAnswer: 19.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 692599 is divided by 19228?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 4:44 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.00117807 rounded to one decimal place?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -350, 5, -2, -2\/7, 0.2 in descending order.\nAnswer: 5, 0.2, -2\/7, -2, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -215 minus -145787?\nAnswer: 145572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/63*6 + (-265)\/(-35). Solve k - o = -2*f, 17 + 6 = 4*k + 3*f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2539*u - 57865 = 2534*u. What are the prime factors of u?\nAnswer: 71, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49497413 - 34*p**3 + 32*p**3 + 49497413.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_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 ten millions digit of 33633830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 10961145.4 to the nearest 10000.\nAnswer: 10960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-76)\/(-8)*-6 + 570\/114.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1\/1582 - -123791\/791. What is the second smallest value in b, -2\/7, -4, 2\/15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1076904 plus 5?\nAnswer: -1076899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2*(1 - 308\/(-8)). Suppose 0 = -2*c + a + 59. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3392917.\nAnswer: 11, 308447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0.1, 0.2, 2, -21 in decreasing order.\nAnswer: 2, 0.2, 0.1, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 8217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8531456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -182, -354, -528, -704, -882, -1062?\nAnswer: -1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**2 + 11*v + 12. Let b be g(12). Suppose b = -y + h - 4, 0 = 4*y - 3*h + 7*h - 24. What are the prime factors of (-61)\/(-1) - (y + -1)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61420324 a multiple of 503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.9135 - -0.029947\nAnswer: -0.883553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 474751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (1 + sqrt(112) - sqrt(448)*-2) + (-2 + sqrt(700))*4 + 5.\nAnswer: -7 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 491681.\nAnswer: 53, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of 6236332 and 41487556.\nAnswer: 47723888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*p + 3*r = 2*p - 63, 4*p - 4199*r = -4197*r - 22 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n + 9*n + 7*n)*(0 + 2*n + 0)*(-139 + 4 + 15).\nAnswer: -3120*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-7\/3)\/t*t**24)**3)**(-3\/17) assuming t is positive.\nAnswer: t**(-186\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 46261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2. Let z(w) be the third derivative of -871*w**5\/30 + 3*w**2 + 693*w. What is z(j(g))?\nAnswer: -1742*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112998 is divided by 37579.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 43 - -6. Let a = 75 - p. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*j + 7923 = -4947. Is 22 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-59241)\/806*1*(-44)\/(-33)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**4\/4 - 65121*z**3\/2 + 1410713319*z**2\/4 + 15565156299*z + 171390247083.\nAnswer: 3*(z - 21729)**2*(z + 22)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5 and 89160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = u - 2*u + 806, 4*u + 4*o = 3200. Is u != 797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 873 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 13) to base 16\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 10 = 5*m. Let c = 304 + -304. Let r = 2.4 + -0.4. Sort m, r, c.\nAnswer: c, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 - 11*v**2 + 2*v - 12. Let n = 19 + 29. Suppose -21*z - n = -17*z - 2*j, -5*j = 4*z + 34. Determine u(z).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/2*(-5 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*w + 2*m - 51, 0 = -2*w - m - 20. Is -7 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 + 3 = -8*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.09  (b) 3  (c) -641\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 825847.\nAnswer: 11, 193, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22.5 - 23.5. Let y = -92 - -92.328. Let s = y + -0.028. Which is the third biggest value?  (a) s  (b) g  (c) 0.2  (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the second derivative of -u**4\/12 - u**3\/2 + 2*u**2 - 10*u - 3. Calculate l(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -596ab1 (base 12) to base 13\nAnswer: -3b68ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 640557964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -2*v**3 - v**2 + 3*v + 2. Let c = 72 - 38. Suppose -3*i + 2*u + c = -6, -i - u = -15. What is the remainder when i is divided by f(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -27.8 + 27.972. Let c = 0.17199891 - v. Round c to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**2 - 3*k + 3*k + (0 + 0 - k**2)*(-3 + 3 - 2) - 2*k**2 + 5*k**2 + 2*k**2)*(1 + 1 - 1) + (2 + 0 - 1)*(23*k - 23*k - 8*k**2).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 134, 67, 22, 11, 46, 139, 302?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 3*d + 17. Determine u(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m = -9*m - 1. Let q be 1 - 0\/(-3 + m). Solve a = -0 + q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b. Let h(o) = -129*o + 6. Let t(n) = -3*h(n) + 6*l(n). Let p be t(3). Suppose -5*c - 21 = -p. What are the prime factors of c?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2074455 from -25.\nAnswer: -2074480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add -2 and -383588634187.\nAnswer: -383588634189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -194*t - 21 + 194*t + 18*t**3 wrt t?\nAnswer: 54*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-2*sqrt(190)*-5 - (sqrt(190) - (sqrt(190) + -3*sqrt(190)*-1 + sqrt(190)))))\/(-4*sqrt(810) - sqrt(640)*4).\nAnswer: -7*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**3\/13 + 3271712*n**2\/13.\nAnswer: -2*n**2*(n - 1635856)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v**2 - 8185*v - 16390 = 0 for v.\nAnswer: -2, 1639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 138430519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1976, 2082, 2182, 2270, 2340, 2386, 2402?\n\"Answer: -i**3 + 3*i**2 + 104*i + 1870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(85)\/(-5*sqrt(45)) + (sqrt(17) + (0 + sqrt(17))*3)*-6.\nAnswer: -361*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(4\/((-40)\/5)). Suppose 0*z = -f*z + 12. Let k be 9\/(-27) - (-20)\/z. Solve -k*n + 1 - 7 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -42 - -10. Is s at least -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 45778*d**3 + 4486248*d**2 + 392*d.\nAnswer: 2*d*(d + 98)*(22889*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -71729, -71676, -71623, -71570?\nAnswer: -71517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29460 divided by 5.\nAnswer: 5892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.087*2.070993.\nAnswer: 0.180176391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3239 - -3244. Which is the nearest to -1?  (a) 0.06  (b) o  (c) -1  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 AM and 2:23 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((60\/(-40))\/((-9)\/12))\/((-13960)\/(-820) - 17).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from qqixiqqiqqqqiqqxqx.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-4)*u\/((u\/(u**(-2\/5)*u*u*u))\/u))\/(u**(-1)\/u)**4*u*u**(-1\/3)*u**(1\/8)*(u**(-2\/7)*u)\/(u\/(u**(-1\/9)\/u)) assuming u is positive.\nAnswer: u**(20147\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 7, -3, -7436, 1, 5.\nAnswer: -7436, -3, 1, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, -2.73, 4 in descending order.\nAnswer: 4, 2, 0, -2.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3 - 138*a**2 - 18092*a - 374880.\nAnswer: 2*(a - 142)*(a + 33)*(a + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -2*v**2\/13 - 15538*v\/13 - 15536\/13 = 0.\nAnswer: -7768, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 318 and 9858?\nAnswer: 9858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of 0*w**2 + 5\/4*w**4 + 0*w**3 + 0*w**5 + 46*w + 0*w**6 + 0 - 2\/21*w**7. Find the third derivative of f(q) wrt q.\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.1312 less than -377?\nAnswer: -375.8688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 16058069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -9 + -8 + -3*1. Let q be y\/(-4 + 54\/14). Suppose -4*x - q = -11*x. Calculate the highest common divisor of x and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65253.5 - 6439497.\nAnswer: -6504750.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -14098.55 rounded to the nearest one hundred?\nAnswer: -14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a*a**(-2\/7)))**(13\/4))**(-34) assuming a is positive.\nAnswer: a**(-221\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*m**3 - m**2 - 1126*m?\nAnswer: 18*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 AM and 8:41 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6500 divided by 20.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 times 455?\nAnswer: 41405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((-6)\/8)*339\/1017.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 74 divided by -1\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -2*z**3 - 3*z**2 - 2*z - 3. Let g be d(-2). Which is the third biggest value?  (a) g  (b) -4  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -6596 at most 455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 36598, 36346, 35934, 35362, 34630, 33738, 32686?\n\"Answer: -80*w**2 - 12*w + 36690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100 = -16*m - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -8468*n + 60196. Determine f(7).\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-2)*(63\/(-3) - 6). Is -28 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21 - 1. Suppose -2*z + 18 = 2*k, 4*k + k = -3*z + 43. What is the lowest common multiple of (-3 + 5)\/((-4)\/x) and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 + -0.000186.\nAnswer: 1.999814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 + 15*j**2 - 201*j + 336. Calculate s(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the third derivative of 11*d**5\/60 + 13*d**3\/6 + 14*d**2. Differentiate u(o) with respect to o.\nAnswer: 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*k - 5*r, -2*k - 3*r + 4 = 3. What is the derivative of p - 3*p - k*p - 4 wrt p?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1251 + 1250.383. Let d = g + -2.113. What is d rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l + 13. Let f be g(8). Let b(s) = -s**3 + s - 3*s**2 - f*s + 0*s**2 - 2 + s. Let r be b(-3). Solve -2*m = -r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2952 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2959 and 4304.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/4*y**2 + 27\/2 - 51\/4*y.\nAnswer: -3*(y - 1)*(y + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 158321 and 9187344.\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-33)\/(-22) + (-13)\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8*g*l**2 + g - l**3 + 9 wrt l?\nAnswer: 16*g*l - 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 2*s**2 + 5*s - 3. Let p(z) = 2*z - 3. Let u(n) = -5*n + 5. Let v(i) = -7*p(i) - 3*u(i). Let a be v(-3). Is 15 a factor of f(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q**4 + 16648*q**3 - 17304288*q**2 + 34558648*q - 17271004 = 0. What is q?\nAnswer: 1, 1987, 2173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ikb when three letters picked without replacement from {u: 2, k: 5, o: 3, b: 1, i: 6, h: 2}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.5, -0.3, -0.8, -132?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21 by -520.\nAnswer: -21\/520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.4938 rounded to 1 dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 35 = -93. Let b be v\/9 + (-2)\/9. Is 5 a factor of 66\/b - 6\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 28 and 92.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2873 + -2018. Let r = -825 + s. Calculate the remainder when r is divided by (1*-1)\/(1\/(-11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/399 and 15\/180544.\nAnswer: 10291008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*x - 194*x**2 + 219*x**2 - 2*x + 4*x as z*x + n + r*x**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rkrk. Give prob of picking 2 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -96 and 256141.7.\nAnswer: -24589603.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -44 + 44.2. Let x = 0 - -12. Let a = -7 + x. What is the smallest value in a, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -107 - -961\/9. Let m(u) = u - 21. Let t be m(19). Let d = -0.18 + -0.22. Which is the closest to 0.1?  (a) l  (b) t  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7625 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the first derivative of -96 + 52*k**3 + 0*k**2 + 147\/4*k**4 + 0*k. What is the third derivative of d(q) wrt q?\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -13*h**2 - 9*h + 8. Let a(u) be the third derivative of -u**5\/20 - u**4\/12 + u**3\/3 - 5*u**2. Determine 9*a(b) - 2*f(b).\nAnswer: -b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 3*h + 2*h + 5*r, 5*h + 6 = -r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 92062 to the nearest 1000.\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10.271 + -10.3. Let s = -3.971 - -4.4. Let r = s + p. Which is the closest to -4?  (a) 3  (b) -1\/2  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -243 - -240.26. Let c = -2.8 - u. Let d = c + 1.23. What is d rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + 10011100111?\nAnswer: 10011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -122*w + 17. What are the prime factors of s(-5)?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2328 by -37.\nAnswer: -2328\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33633 divided by 13.\nAnswer: 33633\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6088885 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25 - 25 + 11*c**3.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9534 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - 9?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7.82?  (a) -1.4  (b) -132  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -443 or -442?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -6*k - 112. Determine i(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -2*m**2. Let b(t) be the first derivative of 4\/3*t**3 + 0*t**2 + 0*t + 3. Calculate r(b(z)).\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 215, 200, 189, 194, 227, 300, 425?\n\"Answer: 2*p**3 - 10*p**2 + p + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30179 is divided by 642.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -33*u**3 - 2*u**2 - 2*u + 2. Let j(f) = -528*f**3 - 33*f**2 - 33*f + 33. What is -2*j(w) + 33*y(w)?\nAnswer: -33*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3858 - -3761.19. What is n rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-576)\/11664*1899 - 64\/(-36).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -650555\nAnswer: 1\/130111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 32 = 5*w. Find the common denominator of (3\/9)\/(8\/508) and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 236432 and 101328?\nAnswer: 709296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 912 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a. Let u be j(-3). Let k(t) = 7*t**3 - 2*t**2 - 4*t. Is k(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7505178.6 rounded to the nearest 10000?\nAnswer: -7510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 201 - 203. Let f be j\/(-12) - (-15)\/18. Do 0 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*a**3 - 250*a**2 + 3565*a - 10580.\nAnswer: 5*(a - 23)**2*(a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -3*u - 3. Let j be r(-2). Let c(s) = 3*s - s - 8*s + j. What is c(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 3 + (-5 + -1*sqrt(1872) - sqrt(1872) - (-1 + (sqrt(1872) - sqrt(1872)*1))) + -4 + (sqrt(1872) + -1 + -2)*2)**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/936)\/((-72)\/(-104))?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12194 and 182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1776, 2349, 1772, 45?\nAnswer: -2832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1\/1229 + -1227\/2458. Which is the nearest to 0?  (a) 0.06  (b) s  (c) -1  (d) 1\/117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3*(-5)\/(10\/18). Let o = -18 - m. Solve 3 + o = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 5*l = -94912, 5*i - 6*i + l + 23727 = 0. Let x = -9580 + i. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 24 + 6. What is the lowest common multiple of k and (14 - (-5 + 4)) + 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 - 4*h + 5. Let t be a(4). Suppose t*g = 7*g - 86. Calculate the remainder when g is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*n - 4*n + 4*f - 8, -4*f + 14 = -n. Let o = 12.5 + -4. Let c = o + -9. Sort c, -5, n in descending order.\nAnswer: n, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 4*b = 28, -39*c - 3*b = -45*c + 36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8079 + -8077. Sort -642, j, 0.3 in descending order.\nAnswer: j, 0.3, -642","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1302257, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (69*y + 26*y - 23*y)*(2*y - y + 0*y).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j + 0*j - j + (4 + 2 - 5)*(-19 + 116 - 5)*(11 - 11 + 3*j).\nAnswer: 274*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 + 31*x**2 - 61*x + 93. Let q be u(29). Solve g + 7*z + q = 4*z, 2*g + 3*z + 6 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 432, 1431, 3000, 5139, 7848, 11127, 14976?\n\"Answer: 285*p**2 + 144*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(128) - -4*(sqrt(128) + -2)) + -4 + 1*sqrt(128))**2.\nAnswer: -1152*sqrt(2) + 4752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 2\/7  (b) 42  (c) 2  (d) -1  (e) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 20\/21 + 4\/(-6). Let r = -0.0487 + 100.6487. Let g = r - 100. What is the closest to c in g, -3\/7, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/(-3) + -1 - 1. Let h be (0 - (-6)\/m) + 91. Suppose h = 5*a + 2*b, b + 51 = 5*a - 32. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 16*l - 85. Determine i(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = u + 36, -5*u - 13 + 67 = -v. What is the closest to -0.2 in u, -0.4, -3\/7, -5\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 14870231, 14870228, 14870223, 14870216?\n\"Answer: -d**2 + 14870232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 6:20 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 0.1, 7, 0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2035 + 2046. Calculate the smallest common multiple of s and (-9)\/(-7) - (-2)\/(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 153689 is divided by 76761.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-214)\/72 - (-2)\/9. Let d = o - -4. What is the closest to 0.1 in d, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -24 + (-7 - 2) + (23 - (-5 - -4))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 10*h - 48. Let t be y(5). Suppose 0 = s + 4*v + 10, s - 13 + 5 = t*v. Suppose s*p - i = 4*p - 316, 2*p = -3*i + 316. What are the prime factors of p?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 3) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of j**3 + 1\/12*j**4 + 11 + j + 4*j**2. Suppose g(r) = 0. What is r?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6157\/567 + -58\/81. Which is bigger: q or 9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 20*1 - 2 - 1. Let x = -27 + b. Let u = -5 - x. Solve -3*o + u*w = -4*o - 22, -2*o + 31 = -5*w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 5 - (-4 + 0) - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 - -7. Let p = -4 + 3.6. What is the nearest to -2\/5 in -5, n, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the second derivative of t**5\/40 - 3*t**4\/8 + 9*t**3\/4 + 5*t**2\/2 - 8*t. Let a(d) be the first derivative of q(d). Determine h so that a(h) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {h: 1, z: 2, i: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.3 - -3.3. Suppose -5*s - 4*o - 13 = 0, -3*s - s - o - 6 = 0. What is the nearest to s in p, -0.1, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3222 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -100438*o**2 - 4*o - 2. Let p(u) = -48*u. Give p(t(i)).\nAnswer: 4821024*i**2 + 192*i + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2 - 17*j + 2. Let c be r(17). Let n(k) = 7*k + 5. List the prime factors of n(c).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (((sqrt(833) + 1)*-5 + sqrt(833) - ((sqrt(833) - (sqrt(833) - (-1 + sqrt(833)))) + -5)) + -3 + 6*(sqrt(833) - (sqrt(833) + 1)))**2 + 1.\nAnswer: 560*sqrt(17) + 20893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.33 + -0.17. What is the nearest to 2 in 2, -2\/5, q, -5\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 3*w**3 - 85*w**2 - 26*w + 3. Let q(p) = -6*p**3 + 180*p**2 + 54*p - 7. Calculate 3*q(l) + 7*v(l).\nAnswer: 3*l**3 - 55*l**2 - 20*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90751*l - 2 + 202628*l + 92332*l - 112256*l.\nAnswer: 273455*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**2 - 12*p + 4. Let g be (-9)\/(-4)*(-48)\/9. Let z be y(g). Suppose -o + 6 = 4. Put o, -6, z in increasing order.\nAnswer: -6, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118957.\nAnswer: 47, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -2*k - 10, 3*t - 4*k + 8*k = -14. Let l be (-3 + (-3 - -6))*(-1)\/2. Sort l, 3, -0.5, t in descending order.\nAnswer: 3, l, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**2 + p**3 - p**2 + (-p**3 - p**3 + p**3)*(-4 + 3 + 0) + 9*p**3 - 2*p**3 + p**3 + 0*p**3 + p**3 - 2*p**3)*(-1 + 3 - 1)*(-2*p + 3*p - 3*p).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, w: 2, s: 1, u: 1, p: 3, m: 5}. What is prob of sequence wm?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.28 - 5.2409. Let a = 0.0391 - k. Let b(w) = w + 1. Let i be b(1). What is the fourth smallest value in 0.1, i, 1\/7, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 17 = 32. Solve 14 = 4*k - g, -3*k + k = n*g + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 2*l - 1. Let w(v) = -7603*v. Calculate w(g(m)).\nAnswer: -15206*m + 7603","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(153)*-2 + sqrt(153))\/(-2*sqrt(900) - sqrt(900)).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 244*f + f**2 - 244*f. Let r(s) = -3*s. Give q(r(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 196517 is divided by 24498.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1620726931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 AM and 3:26 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2953375580?\nAnswer: 2, 5, 19, 31, 239, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 92914892 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*b + 4*b - 1320. Let g = b + 883. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - -2. Suppose -n - 3 + j = 0. Suppose -3*p = -n*w + 69, -2*w = w + 2*p - 73. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -7. Let w = 0.069 + 0.031. What is the nearest to w in 5, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5861 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-d + d + d)*(411*d**2 - 353563*d + 353563*d) + (-d**3 + d**3 - d**3)*(1 - 2 - 1) in the form a*d**2 + v + b*d**3 + s*d and give b.\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -75\/38 and -53\/546231?\nAnswer: 1092462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 7*d + 468. Give b(-56).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.513960309046 and -7.3?\nAnswer: 6.786039690954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times -58129018?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 106*q**2 - 3*q + 1. Let m be o(1). Suppose m - 41 = 3*r. Let p be (-27)\/(-12) - (-3)\/4. What is the greatest common factor of r and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143678 is divided by 181?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 13*i**2 - 17*i - 15. Let p(s) = 63*s**2 - 84*s - 75. Let c(n) = 24*h(n) - 5*p(n). Factor c(r).\nAnswer: -3*(r - 5)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 72356 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3315 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1110011 (base 2) in base 12?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 662797797 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hm when two letters picked without replacement from vhvvhhm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 25 + 29. Suppose -v = -c - 35. What is the remainder when c is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 19422 in -5, 0.7, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 74795507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 103423161 + 23?\nAnswer: 103423214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.765 times 561\nAnswer: 429.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**2 - 1433010*g - 2866032.\nAnswer: 3*(g - 477672)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 + 17*w - 11. Let c be (0 + -6)*8\/(-3). Let m be s(c). Solve -m*n = -18 - 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*p**3 - 11 + 86*p - 86*p + p**2 as n*p**3 + f*p**2 + s + q*p and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence la when two letters picked without replacement from {w: 1, j: 1, k: 2, l: 1, e: 1, a: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -26*b + 56. Let d be c(2). Let i be 138606\/(-12) + 2\/d. Round i to the nearest one hundred.\nAnswer: -11600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 247278393?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 4*h = -h - 25, 4*o = -h + 10. Suppose 103 = o*w - 4*u - u, -4*u + 76 = 2*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 10\/87791?\nAnswer: 10\/87791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 + 15. Suppose 0 = 4*j + 4*z - y - 2, 6 = 2*j + 5*z. What is the least common multiple of 4 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - l**3 - 5*l - 12*l**2 + 3*l + 8*l**2 + 2 to j + m*l**3 + c*l**2 + p*l and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 - (8 + 1 + 1). Let h = 21 + l. Suppose 3*j = 4*v + 29, v + h = -2*j - 3*v. Solve -o - j*o = -8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19.1 - -19.4. What is the second smallest value in m, 0.6, -0.1, 2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 214038, 214037, 214036?\nAnswer: 214035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 6932, 13878, 20822, 27758, 34680?\n\"Answer: -r**3 + 5*r**2 + 6938*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 79162?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -70018855*f*q**3*v**2 - 3*f*q**2 + 57*f*v**2 - 98*q*v**2 + 8 wrt q.\nAnswer: -420113130*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 2*w - 21 + 13 = 0, 0 = 2*a + 3*w + 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m + 4*k - 45, -m + 2*k = 4*m - 45. What is the greatest common divisor of 27 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2\/13)\/(w\/(w*w\/w**(3\/4))))**(1\/61)*(w**(-1\/5)*w*w**(-2\/13)\/w)\/(w\/(w\/((w\/(w\/(w\/(w\/w**(-3\/4)))*w))\/w))*w**(-1)) assuming w is positive.\nAnswer: w**(13472\/3965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -907 (base 12) to base 14\nAnswer: -691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 4296908484932.\nAnswer: -4296908484932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of -7*n**6\/3420 + n**5\/114 - n**4\/76 + 11*n**3\/3 + n**2 + 68*n. Let p(u) be the second derivative of m(u). Factor p(o).\nAnswer: -2*(o - 1)*(7*o - 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 - 4*f**2 + 6*f + 2. Let z = -7 - -7. Suppose -5*l + 0*l - 25 = z. What is i(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 3*h**4 + 12*h**3 - 7*h**2 - h + 3. Let c(b) = -b**4 + b. Let n(t) = -c(t) - r(t). What is the third derivative of n(v) wrt v?\nAnswer: -48*v - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 155 + 16 = h. Suppose -257 + 502 = 7*k. Calculate the remainder when h is divided by k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 899*r - 900*r + 2*n = -n + 39, -2440 = 74*r + n for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -k + 9*k + 0*k + 8*k in the form g*k + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the first derivative of -20 + 7\/3*l**3 + 1\/4*l**4 + 8*l - 1\/2*l**2. Suppose -53 = 5*y - 18. Give h(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k**2 - 8*k - 6*k**2 - 9*k**2.\nAnswer: -13*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 75812 rounded to the nearest 1000?\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 320 = -3*v, -1 = -f - v + 317. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2329 * 0.18\nAnswer: -419.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-2 + 14897\/3)*36\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**(-21))\/d)**(-30)\/(d**(3\/10)*d**20\/d) assuming d is positive.\nAnswer: d**(-6493\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -1, 47, 127, 239?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3645) - sqrt(3645)*-2 - (sqrt(45) - (sqrt(45) - (-1*sqrt(45)*5 - sqrt(45)))))\/(sqrt(63)\/sqrt(112) + (sqrt(27) + sqrt(27)*1)\/sqrt(3)).\nAnswer: 44*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -55 + 288. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1136\/3 - 386. Find the common denominator of o and -13\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 6, q: 1, g: 3, l: 1, a: 2}. Give prob of sequence gg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3231781, -6463571, -9695397, -12927277, -16159229, -19391271, -22623421, -25855697?\nAnswer: -29088117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*3 - (2 - 0 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2 - 3*w - 2. Let j be l(3). Let z = j - -7. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 247043344 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -464*x**2 - 3122*x**2 + 531*x**2 - 494*x**2 + x + 158151 - 158152 to the form g + t*x**2 + r*x and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*u**4 - 1212270*u**3 + 84389*u**2 wrt u.\nAnswer: 72*u - 7273620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -2  (b) -5  (c) -1\/8  (d) -1  (e) 2\/157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -381.801 + 382. Let g = 2.259 - l. Let u = g + -0.06. Which is the second smallest value?  (a) u  (b) -4  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/2  (b) 0.4  (c) -0.016\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3723 and 51268192?\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 25487420+2873222\nAnswer: 28360642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**3\/17 + 2034*i**2\/17 - 689526*i\/17 + 77916438\/17.\nAnswer: -2*(i - 339)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 67, 246, 543, 958, 1491, 2142, 2911?\n\"Answer: 59*i**2 + 2*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p = 10*p - 12. What is the nearest to 1\/3 in p, 6, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (0 + 0) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1654 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -11484 + 111935375?\nAnswer: 111923891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 513852 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5.148 - -3.148. Let k = 35 + -21. What is the biggest value in k, n, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(1728)*-1 - sqrt(1728)) + sqrt(1728) - 2*sqrt(1728)*-1)**2 - (1 + (sqrt(3600)*1 - sqrt(3600))\/sqrt(12))*5.\nAnswer: -240*sqrt(3) + 1748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 83 = -29. Suppose -3*m = -x - 6. Let o = 2 + m. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*b - 365 = -2251. Suppose -2 = -2*l, 3*p - 146 - b = -3*l. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 1 + (1 - 2 + 2)*(1 + 3 - 3) + 2 + 1 - 2 - 5 + 4 + 5)*(3 - 4*u - 3 + 3*u - 6*u + u + 1 - 1 - u + (-4 + 2 + 0)*(2 - 2 + 2*u)).\nAnswer: -44*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 5*k**2 - 7*k + 2. Let d be -10 + 13 - (1 - 0). Let l(s) = -s**2 + s. Let z(h) = d*c(h) + 6*l(h). Factor z(r).\nAnswer: 4*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-10)\/(-18) - ((-82)\/(-984))\/(3\/8). Find v such that -s*v**2 + 0 + 5\/3*v = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-4) - (-3)\/(-6). Suppose 4*l + 26 = 3*q, 11*q = 12*q - 3*l - 17. Suppose b*u + q*u - 14 = 0. Solve 5*k - 3*p = -9, 2*k + p = u*k + 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b**14))\/(((b\/(b\/(b*(b**0\/b)\/b)*b*b))\/b)\/b) assuming b is positive.\nAnswer: b**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of 37*r**3 - r**2\/2 + r + 337. Let c(w) = -3*w**2. Calculate g(c(o)).\nAnswer: -666*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.1, 2.7, -4, -0.5, 2853?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -658 - 1178 = -16*w - 124. Calculate the remainder when 441 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32134535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -11*b**3 + 1. Let j be v(1). Let r(i) = i**2. Let f(o) = -6*o**2. Let u(p) = j*r(p) - 2*f(p). Let m(k) = 58*k**2. Calculate m(u(w)).\nAnswer: 232*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.2 minus -1.105?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 12 = 3*u - 5*y, -2*u = 4*y + 6. Which is the second smallest value?  (a) 5  (b) 11  (c) 5\/3  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2 = -x + 1, x = -3*q - 13. Let o be q\/2*2\/(-2). Suppose -4*s + o = -101. Is 26 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4.56 and -2904167?\nAnswer: 2904162.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.1  (b) 9  (c) -5  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -144 - -233. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7672 - 4587. What are the prime factors of c?\nAnswer: 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3 and 65697655361.\nAnswer: 65697655358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 2 j when three letters picked without replacement from {j: 2, h: 2, o: 6, c: 1, s: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -52 - -27. Let o = j + 27. Let p = 3 - o. Which is the third biggest value?  (a) p  (b) 5  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 15*(4 + (-5)\/(25\/18)). Which is the closest to -1?  (a) m  (b) -1  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-51)\/(-3*1)*4. Suppose 2*q + 4*j = 18 + 22, 5*q = -2*j + k. 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: In base 15, what is -1b1 - 5?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 4*r + 33. Let s(h) = -h**2 - h - 2*h**2 - 56 + 2*h**2 - 15*h. Let p be s(-10). Sort r, p, -2 in descending order.\nAnswer: p, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 367 + 3 + -7 + (-4 - -1). Suppose 15*r - 9*r + m = 0. Is -61 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 32 = 4*d, 0 = 2*z - 4*z - 5*d - 7. Let x(u) = 2*u. Let c be x(1). Suppose c*f - z*f = -20. 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 -0.00005751 rounded to six dps?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -327, -1301, -2933, -5229, -8195, -11837, -16161?\nAnswer: -21173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2\/15, -39, -3, 628.\nAnswer: -39, -3, -1, -2\/15, 628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/11?  (a) 2  (b) -0.121  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1537, 3073, 4609, 6145, 7681?\nAnswer: 9217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 16*b**2 + 3094*b - 42909. What is w(13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3316207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101110020212222 (base 3) to base 12.\nAnswer: 1a3b08b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 139\/4 - 174\/5. Suppose 3*t = -3*p + 42, -2*t - 2*t = -3*p - 91. What is the common denominator of k and (0 - t)\/(28\/6)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -9\/43, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19632248 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*u**3 - 3*u**3 - 6*u**3 - 28613*u**2 + 28613*u**2.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-15)\/(-45) + (-60)\/(-9) + -2. Solve -8*o = -a*o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96*u + 40 = -91*u. Suppose 2*s + u = -4*l - 0*l, 5*l = 5*s + 20. Solve l = 2*a - 7*a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 228 = 7*p - 290. Calculate the remainder when p is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(13) + (sqrt(26)\/sqrt(2) - sqrt(13)) + sqrt(13) + 1 + sqrt(468).\nAnswer: 2 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 4*w + 3*w**2 - 4*w + 0*w + 3 + 2*w**3 - 4*w. What is the remainder when p(2) is divided by (-39)\/2*(-132)\/198?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00002202035 to 7 decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 + -331344053?\nAnswer: -331344053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 - 11*w**2 + 12*w + 8. Let y be g(-12). Let j(m) = m - 10. Determine j(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 3*f + 2 = 0, -14 = -u + 4*f + f. Suppose 5*v + 4*p = -0*p + 20, -4*v = u*p - 20. What is the remainder when v - (6\/2 - 43) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, t: 3}. What is prob of sequence itt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {j: 1, n: 11, w: 5}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 31419, 62874, 94329?\n\"Answer: 31455*t - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 94613 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -50*o + 1200. What is s(24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 18 = -l, 0 = -13*l + 11*l - 3*h + 8. Let n = -4.929 - 0.071. Which is the third biggest value?  (a) -1  (b) 4  (c) n  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -374*z + 1 + 840*z - 2.\nAnswer: 466*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 333 a factor of 4903129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-141) - (-244252)\/832182.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -1  (b) 0.2  (c) -2\/5  (d) 1\/9  (e) 12\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 + 12*n**2 - 5*n - 9. Is 17 a factor of j(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from {u: 2, r: 11, e: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23891553?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 - 25*l**2 - 13*l - 27. Let q be x(-22). Round q to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5\/2042 - 48520\/9189. What is the common denominator of 74\/27 and h?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 242, 9, 4, -5 in decreasing order.\nAnswer: 242, 9, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.074355 and 2.\nAnswer: -0.14871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (12\/(3468\/799))\/8 and 35\/68.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (7 + 14 - 6*j - 10*j - 26*j)*(-1 + 1 - 1) as t*j + g and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/(6\/(-6))*(-1)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2. Let f(r) be the third derivative of r**5\/5 + 4*r**2. What is s(f(j))?\nAnswer: 144*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1288 - -1287.94. Is m not equal to -126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhcccuhhu. Give prob of picking 1 u and 1 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*x + 3*f + 24 = 14*x, -416*x = 5*f + 1293 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of 309*a**2\/2 + 896*a + 1001. Differentiate z(q) with respect to q.\nAnswer: 309","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/50*7\/(-7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 60268 - 60268 - 350*l**2 to the form b*l**2 + t + u*l and give b.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 2*z + 3. Suppose -4*n - 8 = -0. Let b be l(n). What is the remainder when -3*(78\/(-9) + b) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -22*b*h**2 - 15568*b*h - 6*b - 1082095*h**2 + 2*h wrt b?\nAnswer: -22*h**2 - 15568*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**3 + 2*i**4 + i**3)*((2*i + 2 - 2)*(0 - 1 + 0) + (4*i - i + i)*(-3 + 1 + 1)).\nAnswer: -12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 - -6. Let g(n) be the second derivative of -n**3\/2 - 7*n**2\/2 + 2*n. List the prime factors of g(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -206*c + 300. Calculate m(-7).\nAnswer: 1742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((1 - 0)\/1 - -12) + -3. Solve 0*o - t = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 57*m + 63. Let b(q) = 86*q + 94. Let p(k) = 5*b(k) - 7*d(k). Differentiate p(z) wrt z.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -1) + (-302 - -313)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6742 - 6742. What is the nearest to -2\/5 in 5, 0.1, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 AM and 11:29 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9947.54 + 9945. Let a be 3\/5*10\/(-15). Sort a, 1\/4, l in increasing order.\nAnswer: l, a, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of 2*d**6\/15 + d**5\/20 - d**4\/3 - d**3\/6 + 4*d - 3. Let o(y) be the first derivative of x(y). Factor o(f).\nAnswer: f*(f - 1)*(f + 1)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1167 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 2*sqrt(1300) + 2)**2.\nAnswer: -120*sqrt(13) + 5209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 73748983*w**2 - 30644593*w.\nAnswer: 147497966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -81.11 + 81. Let o = 3.89 - g. Sort 1\/5, o, 5 in increasing order.\nAnswer: 1\/5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -63 - -89. Does 13 divide 2380\/91 + (-4)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the second derivative of 3*p + 0*p**6 - 19\/6*p**3 + 109\/42*p**7 + 0*p**4 + 43 + 0*p**5 - p**2. Find the second derivative of k(x) wrt x.\nAnswer: 2180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11152, -22308, -33450, -44572, -55668, -66732, -77758?\nAnswer: -88740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -12. Let r = 14 - x. Let m be 1044\/(-27) - (-2)\/r. What is m rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 879772.03 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -16322?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11928 and 2434803.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.48853 + -0.01147. What is the nearest to -0.1 in 5, 2\/7, -3\/103, l?\nAnswer: -3\/103","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**3 - 8*r**2 - 6*r + 7. Let s be n(-7). Let d = 5 + s. Let u(l) = d*l**3 - 3 + 3*l + 4*l**2 + 0*l**2 - 6*l**3. Determine u(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -4*o + 310. Suppose b + b - o = 0. Suppose -2*h + b = 5*t, 0*h = -5*h + t + 64. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.1 + 0.1. Let i = -1 - b. Are 0.1 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26890.656us to minutes.\nAnswer: 0.0004481776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**5\/7 + 4*k**4\/7 - 27*k**3\/7 + 38*k**2\/7 - 16*k\/7.\nAnswer: k*(k - 2)*(k - 1)**2*(k + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -24615.5 minus -4.32?\nAnswer: -24611.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11316.023445 + -11316. Round w to 4 dps.\nAnswer: 0.0234","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -4*sqrt(1700) + sqrt(1700) - -3*sqrt(1700)*4)**2.\nAnswer: 720*sqrt(17) + 137716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15353 and 25522591.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 3*q + 7 + 2, -5*q - 5 = 0. Sort 0.1, m, 0.2, -3 in decreasing order.\nAnswer: 0.2, 0.1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.737859um in nanometers?\nAnswer: 1737.859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -9870713 + 0.1\nAnswer: -9870712.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 5*q + 10 = 0, 45 = 4*g + g - 4*q. List the prime factors of ((-66)\/g)\/(36\/(-120)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(((-33)\/99)\/((-1)\/1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 45\/((-15345)\/31) + 191\/(-77).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(180)*-1)\/sqrt(9))\/(sqrt(160)*-1 + sqrt(10)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94769957 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/24 and -13\/6762?\nAnswer: 27048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -101 + 175. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 * 11186.716\nAnswer: -223734.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*b**2 + 7*b**2 - 3*b**2 + 9*b)*(24 + 71 - 57) to the form j*b**2 + v + x*b and give x.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*w**3 - 48*w**2 + 21*w**2 + 27*w**2.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 55 or 8300\/153?\nAnswer: 8300\/153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 18*l**2 - 74*l - 6. Let s(k) = 7*k**2 - 25*k - 2. What is 3*q(z) - 8*s(z)?\nAnswer: -2*z**2 - 22*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 49818975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fffffdffdffdfffdff. What is prob of sequence ffdd?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3154242741 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (441 + 19*g - 232 - 231)*(g + 2*g - 4*g)*(6*g - 4*g + 2*g).\nAnswer: -76*g**3 + 88*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -y**2 - y - 9*y + 3*y + 3*y - 72*y**3 + 2 to u*y**2 + s + v*y + c*y**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 16005489 a multiple of 349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 divided by 202?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -16*c. Let g(h) = -23812051*h. Determine w(g(b)).\nAnswer: 380992816*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -2*j + 3006, -5*j - 2*d = -7643 + 104. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77252226 is divided by 319?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1572634*q*y**3 - q*y**2 - 2*q*y - 3*q - 4*y**2 - 2986 wrt y?\nAnswer: -9435804*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-4\/3))**(-16)\/(t**(-22)\/t**(-12\/7)))**22 assuming t is positive.\nAnswer: t**(11836\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 201 a factor of 133815951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.339 + 81.339. Let o = -83 + m. Which is the nearest to o?  (a) 2  (b) -8  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65\/(1\/((-23)\/(414\/18))).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -93.4 - -93. Sort -0.5, -13, d, 1\/8 in increasing order.\nAnswer: -13, -0.5, d, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 5, c: 15}. What is prob of picking 2 c and 1 b?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 15  (b) 1  (c) -49  (d) 3\/2  (e) 3  (f) 2  (g) 4\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g + 8. Let n be s(-5). Solve 0 = n*a + 9, 2*v - 5*a = 5*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2*p**2 - 22*p + 310. Let u be c(-19). Sort 12, -5, 0, 5, u in ascending order.\nAnswer: -5, 0, 5, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 849825120?\nAnswer: 2, 3, 5, 73, 79, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m - 3*m + 4*m + (4 - 4 + m)*(1 + 2 - 5) + (2*m + 2*m - 2*m)*(3 - 1 - 3) + m + 0*m + 0*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-3\/17)*a\/((a\/a**(3\/4))\/a*a) assuming a is positive.\nAnswer: a**(39\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2853 and 1005?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (465 + -1)\/((-64)\/(-192)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 8303, 67132, 226783, 537668, 1050199, 1814788, 2881847?\n\"Answer: 8402*v**3 - v**2 + 18*v - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (9 - 6) + 18 + -1. What is the highest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 4 = -4*m, -2*m - 2 = -2*n + 2. What is the remainder when 7 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 259.1497 decades in millennia?\nAnswer: 2.591497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -j - 122. Suppose 2*d - 1 = -2*l + j, 0 = -l + 2*d + 43. What is the remainder when 22 is divided by l\/3 + 3\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:17 AM and 4:39 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 + g**2 - 3*g + 45. What is the least common multiple of 70 and h(0)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gdd when three letters picked without replacement from jdxgd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -51*a**2\/5 - 8859*a\/5 + 522.\nAnswer: -3*(a + 174)*(17*a - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 144 = -2*g - 1247, 4*l - 884 = 2*g. List the prime factors of l.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3819 and 254667?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/2)\/3*-8. Let l be 4\/1 + 0\/6. Let z = -0.1 - 0.1. Which is the smallest value?  (a) z  (b) l  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2\/563001 - -1501342\/1689003. Suppose -i*l**3 + 32\/9*l + 32\/9 - 2\/9*l**4 + 0*l**2 = 0. What is l?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/13, -115, 3 in increasing order.\nAnswer: -115, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = u + 4*r + 5, 16*u = 19*u + 3*r - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3005, 6003, 9013, 12041, 15093, 18175?\nAnswer: 21293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13798?\nAnswer: 2, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2816892347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - ((-7839)\/90)\/(-13))\/(-1)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 301872153 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -4*v - 1449, 2*o - 714 = -v + 3*v. Let w be v\/(-44) + (-2)\/11. Find the second derivative of 5*u + w*u**3 - 8*u**3 + 3*u**5 wrt u.\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (13\/((-1560)\/(-45)))\/((16335\/(-60))\/(-33))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 63544 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 216203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20213*q - 3567*q - 5404*q + (4 - 2 - 4)*(3*q - 5*q + q).\nAnswer: 11244*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7 take away 12763283616687?\nAnswer: -12763283616687.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -9*t**3 - t**2 + 3*t - 2. Let d be m(1). Suppose -p + 0 = 4. Let k be (p - -1)*3\/d. Sort -5, k, -0.4 in decreasing order.\nAnswer: k, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (f**4 + 0*f**4 + 0*f**4)*(-68808 + 139225 - 68292) + 3*f**4 + f**4 - 6*f**4 to the form k*f**3 + r*f**2 + p*f + d + z*f**4 and give z.\nAnswer: 2123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/(154\/56)*8\/16\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 12 = -w, w + 4*z - 5 + 25 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (160512\/(-17556))\/(4\/14)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**8\/g**(-3)*(g\/g**(8\/5))\/(g**(-4)\/g))\/(g**(-2\/7)*g*g**8*(g*g**(-4\/5))\/(g**(-3)*g)) assuming g is positive.\nAnswer: g**(157\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-2) + 18\/4. Suppose -h - 5 = -19. Suppose o = -i + h. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1824?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -47502623\/20 + 2375828. Let v = -697 + c. Is 1 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-352)\/(-33))\/(-4))\/((-2)\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of -26*f - 25\/3*f**3 + 199 - 1\/8*f**4 + 103\/4*f**2. Solve r(c) = 0 for c.\nAnswer: -52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1826, 1623, 1418, 1211, 1002, 791, 578?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 378 - 1263. Let w be z\/(-4725) + (-1)\/7. Is 1 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(450)\/(-1*sqrt(60)\/sqrt(6)))**2 - (-5 + ((-2 + 3*sqrt(320))**2 - sqrt(320)) + sqrt(320)).\nAnswer: -2834 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j + 20. Let a be u(0). Solve -4*n - n = a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 302*v + 87. Is l(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i - 1 + 1. Let b(m) = -21*m - 176. Let d(j) = -108*j - 924. Let l(f) = -21*b(f) + 4*d(f). Give l(q(z)).\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 359843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-8) - (-36)\/16. Suppose -3*b + 93 = -0*l - y*l, 2*b = -l - 31. Let t = l - -69. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -3*n - 4*n + 6*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d. Let t(y) = -2*y**2 + 3*y - 499. Give t(b(p)).\nAnswer: -2*p**2 - 3*p - 499","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3695 + -3693. Is i < -708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f = 365 - 159. Let w be 1*(-81)\/18*116\/6. Let i = f + w. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1053*l = 45804 + 16323 for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 107 + -109. Let h = 0.7 + -0.2. What is the closest to -1 in h, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12044*b**2*q**2 + 56*b**2*q*t - 209*b**2*q + b**2*t + 2*b*q**2*t - 2 wrt q?\nAnswer: 24088*b**2 + 4*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1196930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 277645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + 1d9?\nAnswer: 1d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*x + 74 - 35 = 0. Let p(m) = 5*m**3 - 3*m**2 + 1. Determine p(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2608101 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 2*m + 0)*(3*m + 2*m - 4*m)*(15*m + m - m).\nAnswer: 30*m**3 + 15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2391 rounded to 2 dps?\nAnswer: 1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29, 12, -5, -22, -39?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/28)\/((220\/(-3080))\/((-1)\/36))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*y + 12*y = 5*z + 12, 5*y = 3*z + 32. Let r(c) be the third derivative of 0*c**3 - 2\/15*c**5 - 1\/24*c**y + 0 + 0*c + 3*c**2. Calculate r(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001485951 to five decimal places.\nAnswer: 0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4923815267?\nAnswer: 7, 491, 1432591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1))**(1\/24)\/((c**0*c*c)\/(c*c\/c**(3\/4))) assuming c is positive.\nAnswer: c**(-19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6388\/5 + 1272. Calculate the common denominator of -2 + 18\/8 + (-849)\/180 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-5)*t)\/t*t)\/t**(-4)*(t\/t**(-1))**(5\/6)*((t**(2\/5))**(-36))**30 assuming t is positive.\nAnswer: t**(-1291\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 8350000 rounded to the nearest 100000?\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**2 + 0*v**2 + 3*v**2)*(8 - 2 + 3).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4550.746ug to tonnes.\nAnswer: 0.000000004550746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -7608, -0.3, 0?\nAnswer: -7608","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5 - 14\/2)*(229 - -1). Let a be (1 - 3)\/(7 + f\/65). Solve 14 = 8*m - a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -181 + 11*b**3 - 180 - 189 + 726 - 176 - 8*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3, -178, 3, -4, 40 in increasing order.\nAnswer: -178, -4, -3, 3, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 - 2. Let m = 141 + -139. Calculate the lowest common multiple of p and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 23 + -38. Let j(f) = 3*f**2 + 10*f + 11. Let y(i) = -7*i**2 - 19*i - 22. Let d(z) = 5*j(z) + 2*y(z). What is the tens digit of d(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 402655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8143859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -31*y**3 - y - 1. Let k = 87 + -36. Let d = 50 - k. What is the tens digit of h(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*o = -2*j - 56, -39*j + 40*j + 23 = -o for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -536, -491, -446?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.09 - -0.79. Let h = c - 1. Let o = 0.30042 + h. What is o rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 542\/4*((-7 - -11) + 54) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 44\/318984505 and 86\/63?\nAnswer: 2870860545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v - 5. Let t be b(-8). What is the third derivative of s**2 - s**3 + 0*s**t + 4*s**6 + s**3 wrt s?\nAnswer: 480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1140\/(-76) - 74\/(-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from rrrrrrrrrrrrrrxwrrrr.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gi when two letters picked without replacement from ghdieexgx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in 0.2, 2, -5\/2, -3, 6111?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 44 = 5*r, -2*r - 7555 + 7595 = -4*z. Suppose -10\/7*c**3 + 0 + 8\/7*c**r - 2\/7*c**5 + 0*c + 4\/7*c**2 = 0. Calculate c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**4\/12 + 3*w**3 + w**2\/12 - 3*w.\nAnswer: -w*(w - 36)*(w - 1)*(w + 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 5954966, 11909932, 17864906, 23819894, 29774902, 35729936?\n\"Answer: n**3 - 2*n**2 + 5954965*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 159120380 and 8460?\nAnswer: 1432083420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -2\/70523?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 26.95305 + 0.04695. Sort n, -4, 3\/8, 0.4, 0.1 in descending order.\nAnswer: n, 0.4, 3\/8, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -24*z**4 + 24*z**3 + 2*z + 1549.\nAnswer: -96*z**3 + 72*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.04616 and 24?\nAnswer: -1.10784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -47 divided by -1.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1729141 to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -41 + 63. Suppose 42 = 2*o - o. Calculate the remainder when o is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1108734097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes before 8:58 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -8108 divided by -8379?\nAnswer: 8108\/8379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6091850087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (7\/((-49)\/(-28)))\/(2\/101)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 1 + 3)*(4*z**5 - 2*z**5 - 4*z**5 + (-5 + 0 - 1)*(-2*z**5 - z**5 + 5*z**5)).\nAnswer: -126*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/(-21) + 690\/35. Calculate the highest common factor of 8 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 12) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5307798 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 3*q = -5*q - 101, 0 = -4*u + q - 120. Let o = -1 + 5. What is the remainder when 61 is divided by (u\/o)\/(2\/(-8))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2460 divided by 4.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13641, -27372, -41103, -54834, -68565?\nAnswer: -82296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-2)*(416\/(-12))\/(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) 1  (c) 0  (d) 379\/5  (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 3*q = -292. Suppose -98 = -4*c + 5*d, -4*c - 4*d + 6*d = -92. Suppose -3*k = -53 - c. What is the remainder when q is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -45*s - 1 + 17*s + 27*s. Let q(w) = -5*w - 1. Let t = -6 + 8. Calculate t*d(m) - q(m).\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*p - 4*p + 20. Let l be 8 + -6 + 6\/p. Factor 0*h**2 - 1\/2*h + l*h**3 + 0.\nAnswer: h*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/8*28928\/(-75936)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.8 take away 2.29965?\nAnswer: 9.50035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1274 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -151380*m**2*s**6 + m**2*s - 2*m*s**3 - 318*s**2 + 10*s + 3 wrt s?\nAnswer: -18165600*m**2*s**3 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 147 is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 4*f - 47 = 0, -7*r = -3*r + 2*f + 22. Let t = r - -22\/3. Suppose 2*s + 4 = 2. Do t and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 21658.\nAnswer: 173264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 4*w - 4410, 3309 = 3*w - 133*y + 132*y. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8 + -17.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -46*c**2. Let f(s) = 63*s - 3. Give f(w(n)).\nAnswer: -2898*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 147\/2 - 72. Let n = 4 - 3.9. What is the nearest to -2\/5 in 0.4, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 93, 174, 255, 336?\n\"Answer: 81*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -292815.7 and -1.9.\nAnswer: 556349.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7299334*f**2 - 363583*f wrt f.\nAnswer: -14598668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 743, 1483, 2223, 2963, 3703?\nAnswer: 4443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -106060796 by 3.\nAnswer: -106060796\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.04  (b) 10  (c) 2\/9  (d) 1\/7  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:07 AM and 4:47 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 184731937 divided by 346589?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 185539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 + -8. Which is bigger: -5 or s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 249 + 5*h + 247 - 3*h.\nAnswer: 2*h + 496","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - 6, 0*t + t + 2*d = 4115. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of x**5\/20 + 7*x**4\/6 + 7*x**3\/6 - 8*x**2 - x. Let q be b(-13). Let v = 107 - q. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1203 + 531. Let s be (-4)\/(-6) + c\/(-18). Let n = -21 + s. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 946903?\nAnswer: 19, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**2 + 15. Calculate the remainder when 101 is divided by d(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-860)\/950 - 2*2\/(-5)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-504)\/(-27)*((-2457)\/28)\/(-13)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3192\/(-665) + 18\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -28.978995 or 15\/2?\nAnswer: -28.978995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -129076529 by -330119.\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 2*n - 4*n = 0. Suppose n*y - 4*y = -3*m - 15, -5*y = -5*m - 20. Solve 9 = -0*l + y*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 184554, 184509, 184466, 184425?\n\"Answer: b**2 - 48*b + 184601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - q - 168. Suppose -3*l - 17*b + 13*b + q = 0, 0 = 2*l + 3*b - 37. Calculate the remainder when 179 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -955 = 2*p + 5*t, 2*p = -p - 3*t - 1446. Put 0.2, -0.3, p in decreasing order.\nAnswer: 0.2, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31*m**3 + 34*m**3 - 14*m**3 + 3 to b*m + z*m**3 + a + c*m**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 593 <= 594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of n**2\/2 + 27. What is b(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nttn when four letters picked without replacement from htvhnhhnhvthhnv?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (126\/15)\/(6\/15). Factor -3*x**3 + x**3 - 3*x - g*x**2 + 6 + 5*x**3 + 15*x**2.\nAnswer: 3*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mj when two letters picked without replacement from mvovjjjjjjovo?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 32*l - 33*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*o + 297*o = 2058 + 1862. What is the highest common divisor of 10240 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3800120 divided by -6.\nAnswer: -1900060\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9715393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.059 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 + 15*q + 52. Determine t(20).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(9\/5)\/d*d**(-2\/11)*(((d**1*d)\/d)\/d)**(-1\/45) assuming d is positive.\nAnswer: d**(34\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -433 times 481.5\nAnswer: -208489.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 501\/143 - 4 - 375\/1625?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 - 5. Let v = -1\/98 + -1298\/49. Let n = 27 + v. What is the nearest to n in j, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 17 - -460?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -660*p = -667*p + 14. Find the second derivative of -198*y**p + 90*y + 23*y**2 - 35*y**2 - 48*y**2 wrt y.\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -4*m + 1611, p + 2*m + 68 = -243. Let s be (0 - -44)\/(6\/63). Let r = s + p. Calculate the highest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1076, 2120, 3164?\n\"Answer: 1044*n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 626*l + 398 wrt l.\nAnswer: 626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4322 or -4323?\nAnswer: -4322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 2. Is s greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 317.81 litres to millilitres.\nAnswer: 317810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 - 22*v**2 + 23*v - 25. Let j be f(21). Suppose j*x - 6 = 1541. Let n = 16 + -3. Calculate the highest common divisor of n and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -10394*f**3 - 5*f**2 - 2*f + 2. What is the hundreds digit of h(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 395069?\nAnswer: 395069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 586 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express b**2 - 530*b**3 + 3*b - 2*b + 32 + 577*b**3 in the form d*b + r*b**2 + l*b**3 + q and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*i**2 - 2*i**3 - 5*i**2)*((1 - 1 - i)*(-2 + 4 + 0) + 19*i + 34*i - 78*i) - 2*i**4 - i**4 + 5*i**4.\nAnswer: 56*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -6*b - 56. Let c(w) = w + 8. Give c(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 55016 and 208?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*a + 201 - 151 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.4 + -2.57. Let t = h + -0.03. Let z = 42 - 43. Is t at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the first derivative of 1198*t**4 - 2*t**3\/3 - 102*t**2 - 1754. Find the third derivative of u(a) wrt a.\nAnswer: 28752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -7*i + 135. Let u be x(15). Suppose u*r - 59 = 29*r. Calculate the remainder when 184 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o + 9. Let z(n) = -n - 1. Let q be z(-8). Let t be m(q). Suppose t*r = -5 - 3. Put 4, 3, r in decreasing order.\nAnswer: 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/12 and 7\/(-189)*(-330)\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b - 5. Let p be n(0). Let s(k) = k**2 + 2*k - 12. Let q be s(-6). Let z be (-2)\/7 - (q\/7 - 2). What is the third biggest value in 8, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - 15\/(-6))*2. Suppose -q - 3 = -5*c + 4, -3*q - l*c + 19 = 0. Let y(p) = -p**2 + 290*p - 5139. Let a be y(19). Sort 5, a, q in ascending order.\nAnswer: q, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(605) + 5 + (1 + sqrt(605))*-6)*-2*3 + -5)**2.\nAnswer: 1056*sqrt(5) + 1393921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48, -53, -58, -63?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 786445 is divided by 98300.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2736025775?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163086 is divided by 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3965\/(-61)*8\/40.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14*y**2 + 4*y + 14*y**2 - 10*y**3 - 3*y wrt y?\nAnswer: -60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -83 - -141. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 56*r*x**3 + 2*r*x**2 - 108656*r + 45586*x**2 - 28*x wrt x.\nAnswer: 336*r*x + 4*r + 91172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000038544 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + -1 + (6 - (-1 + 4)). Solve 14 = m - t*n - n, 3*n + 15 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -578, -2395, -5448, -9737, -15262?\n\"Answer: -618*v**2 + 37*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/(-182))\/((-14922)\/(-5803)) + (-574)\/39?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3935453?\nAnswer: 3935453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6.4 + -6.3. Which is the second biggest value?  (a) 14  (b) 1  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -1955*m**2. Let n(t) = 76*t**2. Calculate n(c(y)).\nAnswer: 290473900*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*w - 4 = 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 1110*k**2. Let v(q) = -q. What is v(d(y))?\nAnswer: -1110*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 - -10*(8\/(-20))\/(-1). Suppose 3*c - 85 - 7 = -m, 118 = a*c - m. Suppose 5*p - 264 = 2*p. What is the remainder when p is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*74\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -27.1 - -26.1. What is the closest to -1 in 0.2, 6\/17, j, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.01 + 5.01. Let t = 278.149 + -278. Let s = t - 5.149. Which is the nearest to -2?  (a) s  (b) o  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 62, 73, 74, 53, -2?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a hour in seconds?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 - 5*p**2 - p + 1. Let b be u(4). Let z = b - -23. Find the second derivative of -6*l**4 - 10*l**z + l + 11*l**4 wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -104 - -55. Let y = -45 - z. Sort 3, -9, y in increasing order.\nAnswer: -9, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/1524  (b) -20  (c) -5  (d) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 310*h - 938*h + 322*h - 109 + 304*h.\nAnswer: -2*h - 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 - ((13 - -2) + 118 + -121).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*v**3 - v**3 - 4*v**3 + (48 - 1 + 18)*(8*v**3 + 4*v**3 - 10*v**3).\nAnswer: 128*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -46 + 1427\/31. Let s = 4 - 0. Suppose -s*c + 5 = c. Which is greater: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 11 = -4*l, 2*l + 3*z + 2*z = -19 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 - 25 = 5*n. Let s(l) = -l**3 - 6*l**2 - l + 1. Let p be s(-6). Suppose -3 = -j - p. Sort j, n, 2 in increasing order.\nAnswer: j, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(-60)*6*3996\/518?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63140 - 22187 = -11*j. Let v = j + -116263\/15. Calculate the common denominator of v and 21\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 528 by -6.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1961 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4941554 (base 10) in base 4?\nAnswer: -102312123302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/3)\/q)**(1\/5)\/((q**(-1\/5)\/q)\/q**6) assuming q is positive.\nAnswer: q**(103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 625771?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:57 AM and 8:11 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i + 27. Let b(w) = 949*w - 106. Determine -4*a(y) - b(y).\nAnswer: -945*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/(-14) - 18512\/(-56). Let o = -328 + l. Solve d - 4 + 1 = 2*q, -o*q = 3*d + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the third derivative of -z**8\/336 + z**7\/42 - 3*z**6\/40 + 7*z**5\/60 - z**4\/12 + 43*z**2. Find s such that w(s) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109*f = -105*f - 3*w + 10, -f + w - 2 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27 (base 9) to base 8.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12191\/1540 + 13\/220. Find the common denominator of -89\/722 and u.\nAnswer: 5054","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 78433 or 78430?\nAnswer: 78430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3\/4)\/((-3)\/(-12)) - -28. Calculate the highest common factor of p and 3813.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the first derivative of -x**6\/24 + 11*x**4\/12 - 8*x**3 - 18. Let w(o) be the third derivative of d(o). What is the first derivative of w(n) wrt n?\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*x + 2395 = -106*x + 1351 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 12:51 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**2 - 4*k. Let j = -193 - -190. Let f(l) = -2*l**2 + 3*l. What is j*g(o) - 4*f(o)?\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 - d**2 + 29*d + 11. Let f be c(5). Let r(u) = u**3 - u**2 + 2*u + 5. Is 72 a factor of r(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.06 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 PM and 4:08 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.33448 + -1692818?\nAnswer: -1692823.33448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2275 a factor of 27268150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4134 and 15.\nAnswer: 20670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 6 = 42*j - 7 + 11, -5*j - 2*s - 16 = -6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 5*c = -3*u + 367, -4*c = -3*u + 349. Let h = -42000 + 42041. What is the remainder when u is divided by h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-9)\/(-18) + 670\/4. Solve -k**2 + k + 3*k**2 - 2*k - f*k**3 - 2 + 169*k**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*p - 4*i, p - 2382*i + 2384*i + 2 = 0. Let z(n) be the first derivative of 26 + 0*n - 1\/2*n**p. Let t(s) = -29*s. Determine t(z(w)).\nAnswer: 29*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25 is divided by (4\/(-10))\/((-49)\/735).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 225 and 152281170?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -37967 and -5?\nAnswer: 189835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 + 7*i - 8. Let u be d(8). Let p(m) = -m**3 - 15*m**2 + 8*m + 16. Let z be p(u). What is the highest common factor of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 58326\/7 - 8332. Which is the closest to 1\/3?  (a) -0.12  (b) l  (c) 0.5  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 65 - 2 - (820 + -752)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o**2. Let d(p) = -7*p - 33. Let n be d(-5). Let z(m) be the third derivative of 0*m**4 + 1\/60*m**5 + 0 + 0*m + 0*m**3 - 2*m**n. Determine t(z(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6204 + 6208. Solve f*h + 44 = -7*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 494287620.\nAnswer: 2, 3, 5, 347, 23741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -70*q - 12. Let n(x) = -6*x - 1. Let w(r) = -l(r) + 12*n(r). Let m(h) = -282*h**2. Give m(w(p)).\nAnswer: -1128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from onpmrrbn. What is prob of sequence om?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/((-441)\/(-14)) + 512\/1656\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 6 + 2. Let x = -19 - -22. Solve -5*f = 4*d - x - c, -3 = 2*d - 3*f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -47*z**2 - 79*z + 7026. Let l(u) = 16*u**2 + 26*u - 2342. Let t(x) = 11*l(x) + 4*v(x). Find the first derivative of t(f) wrt f.\nAnswer: -24*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 AM and 7:10 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, g: 2, r: 1, y: 6, d: 1, n: 5}. What is prob of picking 2 y?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 7*j + 47. Let k(w) = -6*w - 46. Determine -5*a(y) - 6*k(y).\nAnswer: y + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 + -5 + 21\/3. Suppose 4*c = -5*i - 13, 3*c + b*i = 7*i + 24. What is the remainder when 18 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24 - -11) + 41 + -29 + -56.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 247 + -250. Suppose y + 4*d + 16 = 0, -3*y + 32 = -4*d - 0*d. Let z(m) = -m + 2. Let h be z(y). Which is the closest to -0.1?  (a) j  (b) h  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 362 - 588. Is 10\/(-3 - c\/74) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 93 = 2*a + 5*v, 0 = 3*a - 3*v - 90. Suppose -1442 = -34*d + a*d. Is 207 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 48061.\nAnswer: 1\/48061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, f: 1, b: 11, o: 5}. Give prob of picking 1 o and 1 b.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**5)**27)**5*(p\/(p\/((p*p**15)\/p*p))*p**15)**(-3\/26) assuming p is positive.\nAnswer: p**(17457\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -148, 0.2, 1.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53545.\nAnswer: 5, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -2*a - 0*a. Let f = a - -6. Let c be f + 4\/2 - -3. Sort c, 1, -1 in ascending order.\nAnswer: -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 697875 divided by 3?\nAnswer: 232625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -80202 divided by 1\nAnswer: -80202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -5. Let o be (143\/(-130))\/(176\/(-16)). Let j = -53\/33 + 14\/11. Which is the closest to j?  (a) o  (b) 4\/5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36 - -36. Suppose -b + 16 = -p*b. Let t = -496 + 492. Sort -3, b, t, 2.\nAnswer: t, -3, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 23*d + 131867 - 132074 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 534?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -103, -98, -89, -76, -59, -38?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8)\/6*(-9)\/(-2). Is l bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*-360.58.\nAnswer: 1802.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -69026.3 rounded to the nearest 100?\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/((v\/(v**6*v))\/v))**(-1\/35))**(-3\/23) assuming v is positive.\nAnswer: v**(24\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-14))\/(8\/(-56))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-10 + 1)*(-4)\/(-6). Let f be 3\/(-2 - (-15)\/r). Let m be (-2)\/4*(-12)\/(-39). Which is the closest to -1?  (a) m  (b) -4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.078 - -1.922. What is the nearest to y in 3\/2, -2, 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 167*n + 1649. Calculate g(-16).\nAnswer: -1023","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 31\/2 of a meter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*v**5 + 21*v**4 - 21*v**4 + 5*v**2 + (5*v**4 - 22*v + 22*v)*(-2*v + 2*v - 2*v) + 2 - 2*v**5 - 2.\nAnswer: -26*v**5 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -3*b + 60. Suppose b = l - 4*l. Let d = -0.05 + -0.25. What is the closest to -0.1 in d, l, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v**3 - 4*v**2 - 3. Let s(x) = 11*x**3 + 23*x**2 + 17. Let k = -258 - -260. Let u(t) = 4*t**3 + 3*t - 4. Let m be u(k). Calculate m*b(q) + 6*s(q).\nAnswer: -2*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f\/((f*(f*f**(-30)*f)\/f)\/f)*f*f**(-8\/7) assuming f is positive.\nAnswer: f**(216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -108  (b) -0.174  (c) 1  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 6 - 2 = 0. Let i be (-1 - 0)*5 - l. Let u(a) = 3*a**2 - 8*a + 8. Let r(o) = -4*o**2 + 9*o - 9. Let q(k) = 4*r(k) + 5*u(k). Give q(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 805 and 5175.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -31482*m**3*z**3 - 37*m*z + 9760*z**3 + z + 101 wrt m?\nAnswer: -94446*m**2*z**3 - 37*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 74 and 6650047.\nAnswer: 13300094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1 from -6056979170358.\nAnswer: -6056979170357.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -3022994 plus -173?\nAnswer: -3023167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16 + 21. Suppose o*h = 2*h. Suppose -2*x + 57 - 9 = h. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1054 or -1019?\nAnswer: -1019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 57.32 to zero dps.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 + 2. Let z(o) = 2*o**2 - 1 + 0*o**3 + o**3 + 3*o**2 + 3*o + 0*o**3. What is z(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = 4*x - 32, -4*x - 7*m + 34 = -2*m. Suppose -4*y + 30 = x. What is the greatest common factor of y and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-23 - 22 - 15)*(9 - 2*i + 0*i - 7) to u*i + z and give u.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((((sqrt(91) - (sqrt(91) - 1*sqrt(91))) + sqrt(91) + sqrt(91) - sqrt(91))*-5*-4)\/(sqrt(14)\/(sqrt(162)*1)))**2*-1.\nAnswer: 1684800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 47206 (base 14) in base 2?\nAnswer: 101010010011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 1.6. Let q = -32.5 + 32.7. Suppose 7 = k - 4*h, k - 3*h - 1 = 4. What is the nearest to q in k, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 159*g**3 - 159*g**3 + 8*g + g**4 wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -45 + 143 - 50 - 48 - 537*g**2 + 2*g**2 - g**2 - 3*g**2 + (0*g**2 + 0*g**2 + g**2)*(3 - 3 - 2) + 3*g**2 - 2*g**2 - 2*g**2.\nAnswer: -542*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 AM and 2:30 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 4*u = 20, -3*q - 17*u = -12*u + 23. Which is the smallest value?  (a) 1\/153  (b) 2\/7  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/9)\/(-8 - (4\/(-12))\/((-3)\/(-42)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 30.5 + 1.5. Let u = s - 35. Which is the nearest to 2?  (a) 3  (b) 0.4  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 160 - 51777?\nAnswer: -51617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(125)*-2)**2*1 - (sqrt(125)*1 + 0) - -3*(4*(sqrt(125) + -3 + sqrt(125)) + sqrt(125))**2) + 2.\nAnswer: -3245*sqrt(5) + 31309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 231 and 63.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4695737?\nAnswer: 4695737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**3\/2 - 1697*t**2\/2 - 1184*t - 338.\nAnswer: -(t + 1)*(t + 338)*(5*t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7911031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 29*r + 79951 = 16*r. Which is greater: r or -4707?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14742 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -595.999999494 - -596. Round u to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 0 = -60. Let q(z) = -5*z**3 + 2*z**2 + 2*z + 1. Let v be q(-1). Let p be 2\/v - (-268)\/6. What is the greatest common divisor of p and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 52 - (32 - (19 + -83))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -5*y**2. Let r(m) be the first derivative of -m**2\/2 + 8. Determine w(r(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -29773 divided by 5\nAnswer: -29773\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5.8 + -5.4. Let r(o) = -o**2 + 6*o + 6. Let y = -17 - -24. Let f be r(y). What is the second smallest value in j, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 624 = -3*u + 626, 5*u = -3*i + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11167903717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = -15*d - 139 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of -p**3\/6 - 9*p**2\/2 - 22*p + 1. Calculate j(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of -v**6\/120 - 77*v**5\/60 + 5*v**4\/4 + 3*v**2 + 5*v. What is the second derivative of x(w) wrt w?\nAnswer: -6*w - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18 + 18. Let l be k + 3 - (-2)\/(-2). Solve 0*r = -l*r - 6, g + 3*r = -12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8)\/(-24) + (-2110)\/30. Let i be ((-6)\/(-4))\/(3\/(-132)). Let k = i - x. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 72558 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -220*g = 3769 + 2171 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 36 + 51. Let y = -129 + g. Let v = y + 163. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*l - 12. Let a(m) be the second derivative of m**4\/6 + 5*m**3\/6 + m**2 + m. Let t be a(-3). Solve -l*r - t - 7 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -991, -996, -1001, -1006, -1011, -1016?\n\"Answer: -5*y - 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 105541\nAnswer: 1\/105541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 134860 and 61300?\nAnswer: 674300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 336203 or 28577142\/85?\nAnswer: 28577142\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ms when two letters picked without replacement from {e: 1, p: 2, s: 1, m: 2, l: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42879.\nAnswer: 3, 14293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/24 + 327*7\/(-126). Let k be (-1)\/3*(9 + f). What is the nearest to 0.1 in 0.1, 0, k, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s**2 + 20*s**2 - 2*s**2)*(16*s + s - 3*s)*(s - 3*s + 3*s)*(1 - 1 - 2*s).\nAnswer: -420*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -121\/30 and -127\/390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 256286, 256295, 256310, 256331, 256358, 256391, 256430?\n\"Answer: 3*s**2 + 256283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 AM and 1:10 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 3*k = 0. Suppose k*v + 2*v + 2 = 0. Let l(m) = -4*m - 1. Determine l(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 AM and 4:34 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6 + -2 + 0 + (-2 - -2). Suppose -5*z = -20, -w*l + z + 2*z = -660. What are the prime factors of l - (8\/12)\/(1\/3)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + -5 + (-1 - 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 - 12*g**2 + 12*g - 17. Calculate s(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1)\/(-2))\/((-2)\/(-52)). Suppose 3*r = -q + 18, 5*r + q = 3*r + m. Sort -2, -1, r in descending order.\nAnswer: r, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 16) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -3*c**2 + 2*c - 2. Let w(a) = 3*a**2 + 5*a - 6*a**2 - 5 + 0*a - 4*a**2. Calculate 15*g(l) - 6*w(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 203021*f = 203005*f - 5*g + 106, 18 = 5*f - 3*f + 3*g for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 e when three letters picked without replacement from neeqenuueee?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4432, -4476, -4548, -4648, -4776?\n\"Answer: -14*a**2 - 2*a - 4416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/20 and -64\/139715?\nAnswer: 558860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k**2 + k - 5. Let g be 2\/(-10) + (-681)\/(-5). Let a be 132\/(-34) + (-16)\/g. What are the prime factors of j(a)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 - 2*v - 59. Let f be c(11). Let a(g) = -g. Let i(o) = -7*o. Determine f*a(j) - 5*i(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 445 (base 6) to base 4.\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c + 5. Let z(q) = -q - 5. Let m(n) = 4*y(n) + 5*z(n). What is m(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65545.6 decades in months?\nAnswer: 7865472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**3\/11 + 14*y**2\/11 - 16*y\/11 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224*a - 222*a + 670 = 0. What is a rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of 2*z**3 - z**2\/2 - 19*z + 2. Let h = -5 - 2. Let a(x) = -4*x**2 + x + 13. Let s(o) = h*a(o) - 5*q(o). Factor s(i).\nAnswer: -2*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 326 = -6*o - 2*f, -27969 = -6*f - 27993 for o.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y - 2. Suppose -2*p + 16 = 2*p. Suppose -3*a + 8 = 2*a - 4*v, -p*a + 3*v + 6 = 0. Let z be b(a). Sort z, -5, 0, 4 in decreasing order.\nAnswer: 4, 0, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**2 + 264*d + 1920.\nAnswer: 3*(d + 8)*(d + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 275 - 155. Calculate the remainder when t is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 268794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 312 and 1924.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 + 7. Suppose -3*l + 2*p - 1 - 5 = 0, 0 = -4*l - 4*p + o. Suppose u + 8 = -2*j - 0*u, l = 5*j - 4*u + 7. What is the nearest to j in -2\/7, -1, 4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -74*o**4 + 28*o + 30760.\nAnswer: -296*o**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -106 by -696675.\nAnswer: 106\/696675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1434 or -4218?\nAnswer: -4218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 872\/(-36) - (-8)\/36. Let y = 27 + a. Let k = 11 + -7. Sort y, 2, k in decreasing order.\nAnswer: k, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -213*j - 1789 = -405 + 107 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**3 + 3560*a**2 + 83038*a - 180300.\nAnswer: -2*(a - 1803)*(a - 2)*(a + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10188.7ml to litres.\nAnswer: 10.1887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4125 - 4129. Put 0.04, 2\/3, 2, 1\/7, f in increasing order.\nAnswer: f, 0.04, 1\/7, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 0, 3\/8, -0.4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 + 1011001111?\nAnswer: 1011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 14736*v**2 + 30*v + 29. Let f be b(-1). Let a be 2 - ((-2)\/(-8) + f\/(-28)). What is the greatest common divisor of 33 and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/84)\/((-1)\/(-6)*1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 1:54 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eku when three letters picked without replacement from {e: 1, k: 1, u: 1, x: 3, q: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*n = 13*n - 3*a - 12, 0 = -11*n - 3*a - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*w**2 - w**3 - 6*w**2 - 3*w**2 + 2*w**3.\nAnswer: w**3 - 22*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -18*f**2 - 23*f - 24. Let v(a) = 3*a**2 + a. Let w(b) = -10*b - 59. Let o be w(-6). Let q(i) = o*l(i) + 5*v(i). Factor q(s).\nAnswer: -3*(s + 2)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*c - 817 = 97*c - 455 + 782 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 33?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48476601.\nAnswer: 3, 179, 30091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/(-84))\/(4965\/(-5958))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/5*11\/(-4 - 40)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 105 - 88. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 9 + -66b488?\nAnswer: -66b47b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-2580)\/(-506110))\/(9\/33)\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 42 + -33. Suppose -3*b + 2*s - 2 + 37 = 0, -5*s = 3*b - 7. Calculate the greatest common divisor of n and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -301*a**5 - 2*a**3 - 441*a?\nAnswer: -6020*a**3 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*6*(((sqrt(55)*-2 - sqrt(55))*6)\/(sqrt(245) - sqrt(245)*-2) + 1))**2.\nAnswer: -432*sqrt(11)\/7 + 16020\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 6, -3, -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5.672 + 21.672. Put 0.5, 2, 5, z, -2\/7 in descending order.\nAnswer: z, 5, 2, 0.5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -126 + 19. Let c(h) = h**3 + 2*h**2 - 11*h - 92. Let j be c(-5). Let v = z - j. Solve v*w = 2 + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g - g + 35 = 0. What are the prime factors of 445 - ((-57)\/15 - -3)*g?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -916810, -916851, -916892, -916933, -916974?\n\"Answer: -41*i - 916769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13262 (base 11) to base 15.\nAnswer: 592e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 15517954 to the power of 1\/2, to the nearest integer?\nAnswer: 3939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -84, -88, -92, -96, -100, -104?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 204 + 534*g + 249 - 450 + 5*g - 3*g - g + (-g - 2*g + 2*g)*(1 + 1 + 0) as s*g + q and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -137*u**2 - 2*u. Let x(w) = -4*w**2. Calculate d(x(f)).\nAnswer: -2192*f**4 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3215264 divided by 15458\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1561.739 millennia in decades?\nAnswer: 156173.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-6569)\/(-5) + (7 - ((-74)\/(-5) - 8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -31*u + 36*u - 75. Suppose w + 5*s + u = 32, 3*s - 9 = 0. Solve -3*q + 5 + 1 = 5*p, 0 = -w*q - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32 - 15888*a**2 + 77 - 45.\nAnswer: -15888*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - 111?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -2*u - 18, -u = -p + 5*p + 3. Let r = 12 + u. Solve -2*m - 1 = -r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 + -d7c?\nAnswer: -d81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 24 = 3*i, i - 3*r - 24 = -19 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 AM and 9:58 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = a + 2*a. Suppose 5*o = -3*w + 210 + 82, 4*o + 328 = 3*w. Calculate the least common multiple of a and w.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbwb when four letters picked without replacement from {b: 3, w: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -10*y + 168. Let i be l(17). Suppose -3*z + 1 = -2*w, 0*z = -2*w - z - 13. Put w, 3, 2, i in decreasing order.\nAnswer: 3, 2, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2562 by -1755.\nAnswer: -854\/585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 23*j*u + 329*j + 52688*u wrt j?\nAnswer: 23*u + 329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -300820 divided by 3380.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 292 and 5986?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -2*z - 6. Let a be f(-6). Suppose -4*g = -12 + 4. Solve -a = -j - g*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 11:31 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 92990813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o - 5*h - 31, 0*o - 2 = 4*o - 2*h. Let l(r) = 9*r**2 + 3*r + 12. What is the units digit of l(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 44 = 4*w, w + d + 38 = -3*w. Let p be 0*((-1)\/(-2) - (w - -9)). Solve p = g + g - 2*s + 6, 0 = -s - 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -433 or -2605\/6?\nAnswer: -433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.09147 - 316.25.\nAnswer: -312.15853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -58 - -38. Let y = 19.7 + w. Let n be 6\/(-15) - (-21)\/15. Which is the closest to 0?  (a) 0  (b) n  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -12075, -12337, -12599?\n\"Answer: -262*z - 11813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*l**3 - 4*l**3 + 10*l**3 + 2 + l**2 - 3*l**2 to the form i*l**2 + g*l**3 + k*l + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1727 - -1801. Calculate the remainder when 270 is divided by f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110755 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.14 * -1272826\nAnswer: 178195.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -62 - -60 - (-8 + 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2527785405 to the power of 1\/3, to the nearest integer?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -45534 + -3?\nAnswer: -45537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 2*i + 1. Let k(c) be the first derivative of -c**2 + 10. Determine -k(r) - 2*y(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 3 + 2*c**5 + (c**2 + 2*c**2 + 10*c**2)*(-3*c + 2*c**3 + 3*c)*(-2 - 3 + 3).\nAnswer: -50*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 10, f: 9}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.112796634 to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -289486662*a**3*i + 3*a*i - 1449*a - 259*i - 3 wrt a?\nAnswer: -1736919972*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1981317 and 3333.\nAnswer: 21794487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 4, y: 10, l: 2}. What is prob of picking 2 y and 2 e?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**3 + 6*b**2 + 18*b - 72. Let h be c(7). Which is bigger: 4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 182, 178, 174?\n\"Answer: -4*b + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*c**4 + 28664*c**3 - 36604*c**2 - 95864*c - 30656 = 0 for c.\nAnswer: -479, -1, -2\/5, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-51)\/300 + (-24)\/300?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13 + 9. Which is the second biggest value?  (a) x  (b) -2  (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 + 63*w - 1000. What is l(32)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**3)**(-45)*(r\/(r\/r**(-6\/11)*r))\/r**(1\/10) assuming r is positive.\nAnswer: r**(-15031\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 68 + -44. Solve -y = 5*w - a, 3*a - 28 = -w + 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z - 5. Suppose 3*a - 4*r = a - 30, -a - 3*r = 0. Let b be m(a). Let i = -16 - -30. Solve 2*g + i = -3*u + u, 0 = b*g - 4*u - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -12951937?\nAnswer: -2\/12951937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 69625?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(6\/13)\/(p\/((((p\/p**(7\/5))\/p)\/p*p)\/p)))\/(p\/(p**11\/p)*(p\/(p*((p*p**(-2))\/p)\/p)*p)\/p) assuming p is positive.\nAnswer: p**(199\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k**3 + 6103*k**2 - 36645*k + 54981 = 0. Calculate k.\nAnswer: -6109, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -120 (base 3) to base 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -3*u**2 - 36*u + 8. Let b be q(-9). Let d = b - 37. What is the remainder when 151 is divided by d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.08, -15\/268, 0.3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2565*l*t**2 - 558*l*t + 16*l - 30649*t**2 - 4509*t wrt t?\nAnswer: -5130*l - 61298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 - 3*a**2 - 5*a + 5. Let t be s(5). Suppose 4*q - 29 = -9, 3*u - t = 3*q. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**4 + 50*m**3 - 354*m**2 + 558*m.\nAnswer: 2*m*(m - 3)**2*(m + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 373730 and 9730?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0709 + 502.0709. Let d = -502.5 + q. What is the second smallest value in -25, -1, 4, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 8 = s + 11, 5*c - 25 = s. Suppose -2*d + 0 = a + 6, -3*a - 2*d - c = 0. Solve 0 = -a*m + 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -233261, -233320, -233379?\n\"Answer: -59*n - 233202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -13*q + 33770. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 - -1*2 - -4. Let j(w) = 13*w + 164. Let g be j(-12). Let c be g*(14\/8 - k). Put 4, 1\/3, c in increasing order.\nAnswer: c, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -284*z - 15*z + 89*z to h*z + a and give h.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**2 + 13*o + 11. Let y be k(-5). Let f = 920\/6149 - -2\/473. Which is the nearest to -0.1?  (a) f  (b) 4\/3  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37 - (13 + -54) - 49?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1455 + -1451. Solve i + 10 = h + 4*h, t*h = 4*i + 24 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1072 = -80*b - 1079 - 1078 + 3229 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 216658.\nAnswer: 2, 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 6*c. Let i(x) = 117 - 31*x - 117. What is 2*i(k) + 11*p(k)?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 134*r - 1 + 10*r - 143*r - r**2. Let f(b) = 12*b**3 - 18*b**2 + 18*b - 18. Calculate f(v) - 18*q(v).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -12\/443 and 145\/6?\nAnswer: 2658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 198\/648049, -0.11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -4*f - 1. Suppose -4*q + 23 = -3*v, -3*q + 6*v = v - 31. Suppose q*u + u = -27. Is 12 a factor of y(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1614811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -287*t + d - 19 = -590*t + 308*t, 53 - 12 = 2*t + 5*d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11636125 divided by -5?\nAnswer: -2327225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 0.2, 2\/7, -28, -0.002?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the first derivative of 8*k**5\/5 - 47*k**4\/4 + k**3\/3 - 6011*k**2\/2 - 746. What is the second derivative of d(r) wrt r?\nAnswer: 96*r**2 - 282*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -8009, -8005, -8001, -7997, -7993, -7989?\n\"Answer: 4*y - 8013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 2*w**3 - 2*w**2 - 5*w + 7. Let x(k) = k**3 - k**2 - 2*k + 3. Let m be (2*4)\/(8\/(-12)). Let r = m - -5. Calculate r*x(g) + 3*u(g).\nAnswer: -g**3 + g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*((n\/(((n**1\/n)\/n)\/n))\/n)\/n*n*n*n)**(-2\/3))**(-1\/8) assuming n is positive.\nAnswer: n**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/19278316 and 23\/16.\nAnswer: 77113264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 67\/2, -0.2, -0.06, -207?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -183*w**3 + 593*w**3 + 497*w**3.\nAnswer: 907*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -16 - (5 + -15 + (-3 - -3) + 5)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -3, -1, 5, 16, -5 in increasing order.\nAnswer: -16, -5, -3, -1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.606 in -6\/11, 4, 0.2, 1\/3, -3\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/22?  (a) -2.8  (b) 3\/2  (c) 203  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 14\/(-91) - 54\/(-13). Let r(s) be the first derivative of -s**3 + 1 - 7\/12*s**v - 1\/3*s**2 + 0*s. Find x, given that r(x) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 8*d**3 + 20*d**2 - 19*d - 12. Let n(m) = 7*m**3 + 21*m**2 - 16*m - 11. Let v(r) = 5*k(r) - 6*n(r). Give v(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7 + 3 + 2)*(-1139 - 5*h + 2222 - 1109) to the form t + d*h and give t.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12508*x**3 - 2506*x**3 - 2504*x**3 - 2491*x**3 - 2504*x**3 - 2505*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 15 = d, 3*d + 19 = -5*x - 22 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5235, -10309, -15383, -20457, -25531, -30605?\nAnswer: -35679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-26)\/(-117) + 178\/9. Suppose 25 = -2*f + 5*x, 0 = -0*f + f - 4*x + n. Solve -2*d + 4*d + 6 = f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1012707*c**2*w**3 - 115*c**2*w**2 - 405*c*w**2 wrt w?\nAnswer: -6076242*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 3*h - 1708910, 3*d - 3*h - 3367834 + 804475 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/4  (b) 49  (c) -3052\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1898 is divided by 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -174627.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, -256, -3 in increasing order.\nAnswer: -256, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.006484546 to five dps.\nAnswer: 0.00648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 9, x: 7}. What is prob of picking 2 x?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1139 + 1203. Suppose 7*b + b = 96. Calculate the remainder when r is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 6 + 5*w)*(-3 - 28 - 9).\nAnswer: -200*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3525523 is divided by 705043?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 22*w. Let j(x) = x + 1. Let g(s) = -4 - 9 + 11 + 8*s. Let z(v) = -15*v + 3. Let n(y) = 11*g(y) + 6*z(y). Let t(h) = 4*j(h) + n(h). What is t(f(o))?\nAnswer: 44*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 7, 0.5, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 4 - 1 = 0. Let k = -332 + 208. Let q = k - -124. Which is the smallest value?  (a) -1\/9  (b) q  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11 and 4543.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/3 and -339 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1606560994 minus -10?\nAnswer: -1606560984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -7*v + 11 - 4*v + 1339*v**2 - 1345*v**2. Let g(w) = 3*w**2 + 6*w - 6. Suppose 1 + 5 = p. Determine p*f(i) + 11*g(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*q - 11*q + 10*q as x*q + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -635, 1.575, 0.2?\nAnswer: 1.575","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 29745*j + 89302. What is p(-3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 305.48 rounded to the nearest 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 84420 and 42?\nAnswer: 84420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 28 divided by -177\nAnswer: -28\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 2 = -0. Differentiate 1 + 3 + 2 + z + 2*m**2 with respect to m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -25*x**2 - 15. Let a(h) = 6*h**2 + 4. Let m = -9 - -13. Let n(o) = m*s(o) + 15*a(o). Let z(j) = -2*j**2. What is n(z(l))?\nAnswer: -40*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*q + 10*q = 5*d - 550, -2*d + 224 = 3*q. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 405991207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8022822263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from {u: 2, v: 3, i: 8, z: 3}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5575165*m**3*n - 4*m**2*n**2 - 183*m*n**2 - m*n - 2*m + n**2 - 18*n - 1 wrt m?\nAnswer: -33450990*m*n - 8*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1.4  (b) 2  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lkeeeeleeeeeeelee. What is prob of sequence eel?\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) -1  (c) 2  (d) -60  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 2*w**2 - 4. Let l(f) = f**3 + 15*f**2 + 4*f + 63. Let k be l(-15). Let p(q) = q**2 - 5. Give k*t(m) - 2*p(m).\nAnswer: 4*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 22993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from {q: 2, y: 7, u: 5, p: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 4*n**5 + 54*n**4 - 238*n**3 = 0.\nAnswer: -17, 0, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -42*w - 6. Suppose z - 12 = 4*z. Let i(t) = -4*t + 3. Calculate the remainder when m(-1) is divided by i(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 150922*w. Let h(c) = c**2. Determine h(u(o)).\nAnswer: 22777450084*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 0  (c) -14\/11  (d) -4  (e) -3  (f) -38.75\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.1 * -0.252.\nAnswer: -0.2772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 6833.004 to the nearest ten.\nAnswer: 6830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, 113.\nAnswer: -2, 0, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 3\/5, -1\/76054, 1\/5, 4\/9, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 21084 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*c = 25*c + 36*c - 360 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*p + 3*p + 25875 - 12939 - 12936 + 6*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 325*w = 337*w + 48. Sort 5, -569, w, -5 in increasing order.\nAnswer: -569, -5, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times 7147.78?\nAnswer: -2144.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -552173, -552162, -552125, -552050, -551925, -551738, -551477, -551130?\n\"Answer: 2*p**3 + p**2 - 6*p - 552170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9240 + 9253. Are 290 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 560 = -2*j + 568, -4*u = 3*j - 5. Sort j, 3, -3, -9, 1 in ascending order.\nAnswer: -9, -3, j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 340.33 and 0.86.\nAnswer: 341.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2453553 to the nearest integer?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-36)\/(-54) + (-10338)\/(-9))\/((-2)\/(-3)). Which is smaller: 18972\/11 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = 2*z + 22, 95*z - 2*b + 7 = 90*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 145 = -32. Suppose -5*t + m - g = -160, -t - 3*m = -33. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 795091*m**3 + 2*m**2 - 455911*m?\nAnswer: 4770546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -6, -19, -34, -51, -70?\n\"Answer: -u**2 - 10*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-1)\/(-2)*(281 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 AM and 8:21 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 - 0. Suppose 2*b = d + 23, -5*d = b - 5*b + 43. What is the units digit of ((-15)\/q)\/(b\/64)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/110)\/((-1440)\/(-192)).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -833 (base 14) to base 12\nAnswer: -b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert a08527 (base 11) to base 6.\nAnswer: 54432144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2746*l + 3324*l = -351*l + 2008*l + 39717 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 14*x + 27. Which is the closest to x?  (a) 0.4  (b) -51  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -9*x. Let v(j) = 125*j + 5. Give v(p(o)).\nAnswer: -1125*o + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.31 + 15.31. Let n = z + -25. Which is smaller: 0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 36 + q + 78.\nAnswer: q + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -471*m**3*s**2 + m**2*s**2 + 5*m**2 + 6*s**2 wrt m.\nAnswer: -2826*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -35\/6 or 27615?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00272014367 rounded to four dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -85, -218, -351, -484?\n\"Answer: -133*h + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -61 + (-16)\/(-14)*(-64 + (-13573)\/(-196))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1566 - -25925. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the first derivative of -i**4\/4 - 5*i**3\/3 + 3*i**2 - 8*i - 346. What is d(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0\/2*(-7)\/(-8 + -6). Solve 5 = -w*z - 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 174, 1584, 5472, 13074, 25626, 44364, 70524, 105342?\nAnswer: 150054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102 (base 4) to base 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -246*f + 2144. Give g(12).\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*u - 22*u + 7*u - 190*u**3 + 21*u in the form l*u + o*u**2 + f*u**3 + r and give f.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + j + 13 = 0, -5*o + 3*j + 3 = -2. Let k be o\/(-12) + 248\/(-48). Let a(w) = -w - 7. Determine a(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 50 = -s. Calculate the remainder when s is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*z**2 - 5*z - 8 + 8 + (-z + 3*z - 4*z)*(z + 3 - 3) - 28*z + 3*z**2 - 32*z + 58*z - 5 in the form u*z**2 + p + v*z and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -45124 or -45122?\nAnswer: -45124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vlv when three letters picked without replacement from vllvlvl?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 179\/4 - (-6)\/(-8). Let o = u - 40. Suppose 4*k + 2 = -t - 5, -2*k + 14 = o*t. Calculate the lowest common multiple of 4 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/(-63)*(-9)\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -26*s - 424. What is r(-11)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 4 - 2 = -5*i, -3*i = -2*n - 15. Suppose 5*t + i*p = -2*p + 340, 4*p + 296 = 4*t. Suppose 0 = 4*h - t - 161. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:47 AM and 8:23 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2.72, 5, -4, -2\/1779, 1\/6, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 4}. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 112*s. Let o be f(1). Suppose 8*j + 0*j - o = 0. Solve 4 = 2*z + 2*u, 2*z - z - 3*u + j = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-1)*n)\/n**(-11) assuming n is positive.\nAnswer: n**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 23899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 5*r = -3*s, 5*s - 2*r - 6 = 0. Find the common denominator of 4 + -2 + (-13)\/s and 27\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.684449517 to three dps.\nAnswer: -0.684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**5\/4 - 186319*w**4\/4 - 8675617723*w**3\/4 + 286430665763*w**2\/4 - 787808344444*w + 2888857961264.\nAnswer: -(w - 11)**3*(w + 93176)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 436 = -19*c + 75*c + 53*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -269 or -276?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4632\/7 - -663. Calculate the common denominator of 87\/196 and u.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -6.39. Let k = 10.052272 - 10.442. Let i = m - k. Round i to 5 decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 5, 33, 63, 95?\n\"Answer: n**2 + 25*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -140 and 26329494.083?\nAnswer: 26329634.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 101001 (base 2) to base 15\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 y, and 1 k when three letters picked without replacement from kvawy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwewmwywewwweyew. Give prob of sequence ymee.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 6*f**5\/11 + 674*f**4\/11 - 133666*f**3\/11 + 585214*f**2\/11 + 4104748*f\/11 + 3385200\/11 = 0.\nAnswer: -217, -3, -1, 26\/3, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1020210220022 (base 3) to base 2\nAnswer: -10100010011110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 9:05 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*l - 1035 = -1410 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -39 + 38. Is (0 + i)\/(((-3)\/(-1))\/(-2757)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a millennium in years?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 688354*d**4 + 1049295*d**2 wrt d.\nAnswer: 16520496*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6018376 + -3?\nAnswer: 6018373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (408\/64)\/(2\/(-8)). Let x = -26 - l. Let w be (-2)\/7 + 5\/(-7). Which is smaller: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -43 + 22. Let x = 47 + m. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2178*f**2*j**2 + f**2*j*l*t - 2*f*j**2*l + 2*f*j**2 + 2156*f*j*l*t + 2*j**2*l + 3*j**2*t - 4*j wrt t?\nAnswer: f**2*j*l + 2156*f*j*l + 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 + i**2 - i - 5. Let p be t(0). Let o = 1.903 + 0.097. Sort 4, p, o in descending order.\nAnswer: 4, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 374 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 4*k = 3*s - 7, 2*k = 2*s. Let g = -5004\/17 - -294. Is g bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2\/5)\/((-24)\/(-420)). Suppose 0 = -2*v - 3*a + 78, 2*v - 64 = -3*a + t*a. Let y be (-1256392)\/v - (30\/27)\/5. Round y to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3213 - 2834. Calculate the remainder when z is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*u**3 - 3 + 3)*(-328 + 332 - 3*u + u) to a*u + b*u**3 + j*u**2 + x*u**4 + f and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v. Let f(m) = -21*m - 1000. Determine f(h(x)).\nAnswer: -21*x - 1000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -76 - -81. Suppose 0 = -4*r + v + 472, n*r - 2*v - 601 = 2*v. Suppose -r*z = -112*z - 20. Solve 3*l = -l + z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -154 = -16*h - 122. Solve -4*c + 4 = 2*g + h, 4*c + 7 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7361 (base 8) to base 11\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -84*c - 41*c + 15 - 79*c wrt c.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*u - 32*u + 71*u + 25 = 0, 0 = -2*f - u - u - 40 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 - 14*a - 11. Let d(x) = -x**2 + 15*x + 12. Let y(j) = -3*c(j) - 4*d(j). Let s be y(27). Suppose 64 = -i + s. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 7953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/((-1 - 3)\/(-8)). Suppose 5*m + k + 17 = -n*k, 3*m + 7 = -k. Let u = -59 + 173\/3. Do u and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a + 2*a + 2*a + 0*a**2 - 5*a**2.\nAnswer: -5*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/3  (b) -195\/4  (c) 0.2  (d) 1  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*h - 123 + 24. Suppose 0 = 3*k - 1 - h. Let r(c) = 6*c**3 + 10*c**3 - 8*c**3 + k*c. Let z(v) = -7*v**3 - 3*v. Give -3*r(y) - 4*z(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11646)\/(-1035200) - 2\/64.\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most 1\/1792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 199 and -0.229.\nAnswer: -45.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -277, -541, -803, -1063, -1321, -1577, -1831?\n\"Answer: y**2 - 267*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 175*m**2 - 97*m**2 - 288*m**2 to k*m**2 + j + p*m and give k.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -7, 0.046, 0.06, -1\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 142*t**3 + 29*t**2?\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 225254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -366 and -11092.\nAnswer: 4059672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*w**2 + 2*w**3 + 4*w**2 + (2 - 1 + 1)*(w**3 + 0*w**3 - 3*w**3) - 5*w**3 - 35*w**3 + 17*w**3 in the form d*w + n*w**3 + k + a*w**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2 + 11*x + 11. Let o(p) = 4*p + 4. Let r(f) = -4*c(f) + 11*o(f). Let w = -3 + 4. Determine r(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10304 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/(-25) + 2\/25)\/(40\/(-20)). Factor 1\/2*s**3 - 5\/4*s**5 - 3\/4*s**4 + 0*s + 0*s**2 + c.\nAnswer: -s**3*(s + 1)*(5*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 162*k**2 + k + 12 - 12. Is q(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*u - 343 - 40*u - 646*u**2 + 343 + 17*u in the form t*u + p + o*u**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -8975 (base 13) to base 10\nAnswer: -19193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the second derivative of -o**3\/2 + 13374*o. Let k(m) = 1456*m**2 + 169*m. Let p(y) = 26*y**2 + 3*y. Let g(t) = 6*k(t) - 338*p(t). Calculate j(g(d)).\nAnswer: 156*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2307223175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 128*d**2 - 151686*d + 7111. Calculate g(1185).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 4*u + 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 + 39*g - 61. Let i be m(40). Let h = i - -270. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 12*b**5 + 3322*b**4 + 88354*b**3 - 18142*b**2 - 88366*b + 14820 = 0.\nAnswer: -247, -30, -1, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65) + (sqrt(65)*4 - sqrt(65)) + sqrt(65))*2)\/sqrt(5).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + s - 1)*(617 - 1139 - 296) + s + 0*s + s.\nAnswer: -816*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 3 = -9. Calculate the common denominator of u and 100\/(-75) - (2 + (-782)\/222).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2254316?\nAnswer: 2, 61, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -5*n**2. Let w(z) = -136*z. Determine s(w(g)).\nAnswer: -92480*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 10 - 11 = 0. Is 3*u*21\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**2 - 485190*r - 485195.\nAnswer: 5*(r - 97039)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5600059793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of 2*v**3\/3 - 170*v**2 + 14450*v - 635. Factor t(p).\nAnswer: 2*(p - 85)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 278*z = 279*z + 11, -t + 27 = -5*z for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000556699624 rounded to seven dps?\nAnswer: 0.0005567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 95109 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16660 + -16673.739. Let v = o + 0.139. Let c = v - -6.7. What is c rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3507.\nAnswer: 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from inyanoc. What is prob of sequence yonc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1144 = 35*y - 9951. Calculate the remainder when y is divided by 0*5\/15 - -64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 - 3*v**2 + 2*v - 5. Let w = 91 - 16. Suppose 55 = 3*q + 5*z, 0 = 3*q + 2*q + 5*z - w. Calculate the remainder when p(4) is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7\/(-4) + -3*4\/48. Let k be (-4573)\/1345 + (-8)\/(-2). Suppose -h - 3*h - 4 = 0. What is the nearest to k in -0.4, h, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1742546612 to the nearest integer?\nAnswer: 41744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/8 or -30\/75101?\nAnswer: -30\/75101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13 - (20 + -10)) + -5 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -14*3\/10*-10. Let x = -1355\/52 - -347\/13. What is the common denominator of (-39)\/y + 3\/(-1) and x?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -10, 4*p - 2*p = 4*r + 30. Let c(n) = -n**3 - 3*n + 3. Let b(z) = 3*z**3 + 7*z - 7. Give p*c(x) + 2*b(x).\nAnswer: x**3 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1766 - -5202. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) -0.05924  (b) -0.1  (c) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1426, 482, -1 in descending order.\nAnswer: 482, -1, -1426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*f + 221 - 2301 = 0. Let l = 13 + -3. Calculate the highest common divisor of l and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 7*z**2 - 3*z. Let g(d) = 17*d + 19*d - 25*d - 28*d**2. Let o(a) = -2*g(a) - 9*j(a). What is the second derivative of o(c) wrt c?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -227095, -454189, -681283, -908377?\nAnswer: -1135471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -34a1 (base 11) to base 4\nAnswer: -1013230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48\/160)\/(567\/105).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*c**2 + 0*c**2 + 0*c - c.\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of 2*w**3\/39 + 33*w**2\/13 + 64*w\/13 + 1300. Factor n(o).\nAnswer: 2*(o + 1)*(o + 32)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a micrometer in nanometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17396369 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mzezmzmrtmm. Give prob of picking 1 e, 2 z, and 1 t.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 972805594 to the power of 1\/2, to the nearest integer?\nAnswer: 31190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50472*g + 78354 = -51923*g for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.14 from -14.31.\nAnswer: -14.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.727 + -2.8. Let y = b + 0.072939. Round y to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49543.\nAnswer: 13, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fyaezyy. What is prob of sequence eyaz?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3*z**2 + 2)*(0 - 1 - 1)*(-1 + 7 + 10).\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -4*c**3 - 83*c**2 - 210*c - 190. Determine g(-18).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hccchcccchcccqchhc. Give prob of sequence hhhh.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 69 - 62. Let z(v) = v**3 + 8*v**2 + 8*v + 16. List the prime factors of z(f).\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 18 = 2*r, 5*w = 6*w + r - 2 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 3*w**2 + 8*w + 7. Determine s(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 18*j**2 - 1787168*j - 126129297 with respect to j.\nAnswer: 36*j - 1787168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -193*j**2 + 343*j - 343. Determine o(1).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 2*x**3 + 11*x**2 - 5*x + 11. Let j(t) = -6*t**3 - 32*t**2 + 15*t - 34. Let g(r) = 6*j(r) + 17*o(r). Is g(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**2 - 5*h - 11. Let x be t(7). What is the units digit of 0\/x + 8\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(1\/30))\/(s\/(s**(5\/2)\/s)) assuming s is positive.\nAnswer: s**(22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l + 3. Let s be ((-5)\/(-2) + -1)*-2. Let x be g(s). Let w = x - -10. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 520 + -3187\/6. What is the common denominator of (3 - 5)*(-79)\/4 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 11\/44 - 18\/40. Which is the nearest to 1?  (a) 0.3  (b) x  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5547863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 99 = 444. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40547438 a multiple of 605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-4 + sqrt(720) + sqrt(720) + (sqrt(720) - (4 + sqrt(720))) + sqrt(720) + -1 + 1)**2.\nAnswer: -39264 + 3456*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12 - -16. Suppose 0 = b + d - 7, -2*d - 5 = 5*b - 25. Suppose -s - 7*u = -3*u + 2, s = b*u + 10. What is the remainder when s is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -654 in -6\/25, -2\/7, -0.01, 2\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -32*q + 34. Let i be m(1). Let r(k) be the first derivative of 0*k**4 - 2\/5*k**5 - 5*k + 0*k**2 + i + 0*k**3. What is the derivative of r(l) wrt l?\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 + c**2 - 3*c + 5. Let t be o(4). Suppose 2*n = -3*u + t, -u + 4 = -n + 28. Suppose 26 = 5*h - n. Calculate the least common multiple of h and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-34)\/(-3))\/(3 + (-175)\/63). Let n = 1 + v. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 597 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -75 - -21. Let v = t - -75. Does 9 divide v\/6*(-2 - (-12)\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: 153 divided by 6189\nAnswer: 51\/2063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + f + 11 = -k, -25454*f = -4*k - 25447*f + 77 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 300*f - 184 + 2884 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -555 + 1128370?\nAnswer: 1127714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 52 and 24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = 12 - 4. Let k be (5 - 6)*(m - 0). Suppose -k*p - 2*w + 179 = 49, 2*p - 126 = -3*w. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -58 (base 9) to base 12.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 3*u + 5. Suppose -4*c + 3*o + 16 = 0, -3*c - o + 12 = o. Let l be 5\/4 - c\/16. Let x be 1\/(-2)*8*l. Give r(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of q**5\/60 + 7*q**3\/6 - q**2. Let v be m(0). Suppose v = i - 7. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 380564043?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25460532 + 25460532 + 828*x**2.\nAnswer: 828*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggguggggggugggggggg. What is prob of picking 2 g?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1167, -1157, -1141, -1119, -1091, -1057, -1017?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -71929\nAnswer: -5\/71929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 349082, 698161, 1047240, 1396319, 1745398?\n\"Answer: 349079*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -648 (base 11) to base 13\nAnswer: -47b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 7*y**2 + 3*y + 3. Let h be r(-1). Let g be h - 4\/2*-1*1. Calculate the highest common divisor of 6 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38517.\nAnswer: 3, 37, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 + 4*n - 6. Let u be -9 + 2\/2 + 1. Let z be k(u). Solve -3*l + z = m, -m - 15 = 2*m - 3*l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -314 (base 6) to base 4\nAnswer: -1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -9397, -37538, -84427, -150064, -234449?\n\"Answer: -9374*j**2 - 19*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/8)\/(29\/232) - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-4)*(-298 - -302). Sort 5, f, 1578 in decreasing order.\nAnswer: 1578, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*(-24)\/(-180) - (26\/10 - 3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1555 + -19?\nAnswer: -1572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 26369 or 26384?\nAnswer: 26369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ebwifsw. Give prob of picking 1 w and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3452 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: In base 15, what is -2 + -ee24?\nAnswer: -ee26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2721.44l?\nAnswer: 2721440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-126)\/28)\/((-1)\/(-2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 8*k - 6 + 5.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8\/583 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/2)\/(2 - 3\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 60639251, 121278508, 181917765, 242557022?\n\"Answer: 60639257*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j - j - 3*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-9)*x**(-7) assuming x is positive.\nAnswer: x**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 117.2 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 7) to base 14.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 1583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -169 + 168. Is 62\/62*(-327 - 2)\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 2660 = -2*u + 4*u, 3*f + 4*u = 7972. Are 1 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1784965 is divided by 1784959.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 0.3, 28.1, 4\/7, 0, -5.\nAnswer: -5, -1\/3, 0, 0.3, 4\/7, 28.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:18 PM and 9:14 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 54517.76 milligrams?\nAnswer: 0.00005451776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 AM and 10:59 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9\/6904111 or -1?\nAnswer: -9\/6904111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j - 4*j = 0. Suppose j = -3*k + 2 + 70. Calculate the remainder when ((-36)\/k)\/(1\/(-6)) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -38?  (a) -825  (b) 1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w - 5 - 3*w + 20 - 4*w. What are the prime factors of l(-5)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-144)\/9936)\/(4*3\/(-72))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -3*h + 13, 5*h - 1 + 10 = d. Let l be h + (1 + 2)*1. Differentiate 0 + 5 + 0*r**3 - l*r**3 + 6*r**3 with respect to r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 30184.77\nAnswer: 6036.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 o and 1 q when four letters picked without replacement from qoqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1246 + -1251. Sort 19, -12, u in decreasing order.\nAnswer: 19, u, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3137 = 179*d - 2770. Solve d = -14*l + 89 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -10*w**4 - 12715*w**3 - 5388545*w**2 - 762021545*w - 379665225 = 0?\nAnswer: -433, -405, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -119708*i**5 - 161791*i.\nAnswer: -2394160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -10*f. Let p be 15\/10 - (-5)\/2. Suppose -p*d - 3 = -3*d. Does 15 divide k(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 26*m + 1. Calculate f(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the first derivative of -c**2 + 25. Let x(s) = 2*s**2 + 2*s - 1. Let d be x(1). Suppose 2*f - d*f = -2. Give t(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11\/9 + 61\/9. Suppose 9305 = -h + 3*i + 1845, 37280 = -5*h + 5*i. Let m = 74419\/10 + h. Find the common denominator of d and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 126 and 1017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -8*q**3 - 93*q**2 - 63*q - 66. Give s(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 418 and -536470906900?\nAnswer: 536470907318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -362*n**2 + 2175*n + 12. Let x(w) = -367*w**2 + 2175*w + 18. Let b(h) = -3*s(h) + 2*x(h). Find the second derivative of b(j) wrt j.\nAnswer: 704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -31  (b) 3\/10  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 63 - 53. Let r be (-3)\/x*(-4)\/2. Which is the third smallest value?  (a) r  (b) -0.3  (c) -4  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -94034, -93996, -93958, -93920?\nAnswer: -93882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-36*(-12)\/(-8))\/((-705)\/188))\/((-39)\/130).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-three eighths of a microgram in nanograms?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**2 - 220*p + 1083. Let b be d(5). Solve -2*j - 1 = 5, q - 4*j - b = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -2*o**2 + o + 2. Let l(h) = -7*h**2 - 25*h + 6. Let b(z) = 4*j(z) - l(z). Let g be b(29). What is the second smallest value in 3, g, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 171942023 - 171941991.00000024. Let n = 19 + 13. Let w = a - n. What is w rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -60, 147, 3 in increasing order.\nAnswer: -60, 3, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1418, 288\/5, -16\/7?\nAnswer: 288\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2628142815.\nAnswer: 3, 5, 587, 298483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i - 8*i. Suppose i = 4*j + n - 2*n - 49, -3*n = 3. Solve z - r - 6 = 3*z, -4*z + j = -4*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 588041889.\nAnswer: 3, 2687, 72949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -938.3 - -56.454\nAnswer: -881.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s + 28. Let q be f(-13). Let r be 1\/2*(-11 + -1). Let p = q + r. What is the highest common divisor of p and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jyfj when four letters picked without replacement from {s: 1, y: 1, f: 2, c: 2, j: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 + (-192)\/(-21))\/((-18)\/(-14)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 11 = 21. Suppose 5*g - r = -2. Let w(k) = -k**2 + 7*k + 8. Is 4 a factor of w(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:47 PM and 11:18 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1  (b) -2\/21  (c) -0.3  (d) 966  (e) -3\/2  (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 4*d - 12 = 9, 2*d - 10 = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6605.326 and -0.07?\nAnswer: -462.37282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 466*t**4 + 23*t**2 - 423*t**4 - 76*t**2 wrt t?\nAnswer: 1032*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3257189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let l = -775 + 1458. Is l not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/94 and 87\/178?\nAnswer: 8366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (21\/49)\/((-4)\/(-7)). Let k = -41\/6 - -25\/3. Sort p, k, 13 in decreasing order.\nAnswer: 13, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3\/5 - 14*m**2 - m\/5 + 14.\nAnswer: (m - 70)*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -189*l - 20*l**3 - 307*l + 17*l**3.\nAnswer: -3*l**3 - 496*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8637170709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 17*d**2 + 41*d + 173. Let f(q) = -16*q**2 - 42*q - 171. Let w(v) = 15*f(v) + 14*x(v). Determine w(-25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5 + (-14 - -9 - 2\/(-1)). Suppose -j*f + 2*q + q - 31 = 0, -5*f = 2*q + 30. Let p(y) = -2*y**3 - 13*y**2 - y - 15. Is 12 a factor of p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7498970951\/913050 - 2\/456525. Let o = w + 8206. What is the common denominator of 69\/20 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31 divided by -153\nAnswer: 31\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74438363?\nAnswer: 193, 449, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 286157 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 120480 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 95771?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 + 5. Suppose -5*s + 81 = -5*d + 6, d = -l. Let z be (3\/s)\/((-1)\/(-4)). Solve 4*a - 9 + z = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n. Let c(f) = -3*f**2 - 762*f. Calculate -c(q) + x(q).\nAnswer: 3*q**2 + 764*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 36 + -37. Suppose 0 = -b - y - 0*y + 6, 2*b - 5*y + 9 = 0. What is the nearest to k in b, -1\/3, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-9))\/(-4)*24\/28.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -78401 or -78398?\nAnswer: -78398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*q**3 + 54*q**3 + 2*q - 170*q**3 - 153*q**3 + 0*q.\nAnswer: -329*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/3)\/((-4)\/(-6)). Let p be (h\/(-1))\/(6\/2). Let d = -4.14 - -2.14. Put p, 0.2, d in descending order.\nAnswer: 0.2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2582, 2583, 2584, 2585, 2586?\n\"Answer: b + 2581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 65 = -357. Suppose 649 - m = -8*w. Which is smaller: w or -71?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g**(1\/8)\/g))\/g)**(-4) assuming g is positive.\nAnswer: g**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -7*u**3 - 6*u**2 + u + 5. Let x(w) = w**3 - 1. Determine -l(k) - 5*x(k).\nAnswer: 2*k**3 + 6*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1202001 to the power of 1\/2, to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 18912693 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -34*j - 6 + 142 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 65548*k**3 + 1689*k + 318553323?\nAnswer: 196644*k**2 + 1689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3051, 6086, 9109, 12126, 15143?\n\"Answer: k**3 - 12*k**2 + 3064*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (25 - 8 - (17 + -48)) - -21.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -52 + 54. Solve 0*h + h + c = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 186.697 and -0.538.\nAnswer: -100.442986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002189 to four decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 2 + 1)*(0 + 5 - 4) - 33 + 6 + 150)*(-1 + 2*k**2 + 1).\nAnswer: 252*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*0.225.\nAnswer: -0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, 4 in decreasing order.\nAnswer: 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2 + 50998210*r - 152994648.\nAnswer: 2*(r - 3)*(r + 25499108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 3:03 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -3\/4*f + 5\/2*f**3 + 0 + 9\/8*f**4 - 23\/8*f**2 = 0?\nAnswer: -3, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 30257*c**2*o + 3*c**2*p - 2*c**2 + 963*c*p - c + 13*o*p + 11*o - 104*p with respect to o.\nAnswer: 30257*c**2 + 13*p + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/186 and -63\/682.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 3)*(-2605*t**2 + 14*t**4 + 2605*t**2)*((14*t + 3*t - 4*t)*(2 + 4 + 2) + (-1 - 5 + 4)*(t + 0*t - 3*t) + 1 + t - 1 + 4*t - 5*t + 0*t).\nAnswer: 3024*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-120)\/(-9))\/(-4)*12\/(-50)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 141 divide 145653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z**1*z))**(-27)\/(z*z*z**(-3)*z*z*z**5) assuming z is positive.\nAnswer: z**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 572611517.\nAnswer: 572611517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {o: 2, z: 4, x: 3, m: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 72573*u + 725747. What is a(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + l**2 - 2 + (0 - 2*l + 0)*(-l - 17315 + 17383 + 3*l).\nAnswer: -3*l**2 - 136*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -k + 6*k - 137, -4*k = 2*y - 92. Suppose -y = -3*s - 17. Let c(l) = 3*l**2 + l - 3. Let o be c(-6). What is the highest common factor of s and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*x - 2*v = -44, -337*x + 333*x - 4*v = -8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(2) + (sqrt(2) + 2)*6 + -4 + 2.\nAnswer: 7*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4*(9\/2)\/9. Let k be j + -6 + (10300001 - -3). Round k to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*l**4 + 3*l**4 - 16*l**4)*(-3*l + 0*l + l).\nAnswer: 44*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -2*s + 5*s + 2*q, 0 = 4*q. Let p = s + 22. Solve b = 5*b + m + p, -2 = 3*b - m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 26362850 by -7.\nAnswer: -26362850\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11643 - 11643 + 4*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 4 = 11, -4*o = 3*u - 27. Factor 5\/2*y**4 + 0*y**2 + 0 - 7\/2*y**u + y**3 + 0*y.\nAnswer: -y**3*(y - 1)*(7*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 AM and 4:32 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the third derivative of -s**5\/10 - s**4\/24 - 27*s**2 - 3. Determine l(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 2*w + 12 = 4*w - 0, -3*c + 32*w = 137 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 4 + -7 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - -11) + (-6 - 3). Suppose -61 = -5*b + 3*t, -u*b + 3*t = 2*b - 47. What is the remainder when 53 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 54 + 6?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 22 times 1.77\nAnswer: 38.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o + 9. Calculate the lowest common multiple of 6 and i(-19).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 881214 (base 11) to base 6.\nAnswer: 50054244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the first derivative of 1\/10*y**4 + 21\/5*y**2 + 68 + 4\/3*y**3 + 0*y. Let j(l) = 0. Calculate l.\nAnswer: -7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 15 + 5. Suppose -2*r = -4 - h. Solve -4*p + 12 + r = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -134244546 divided by -67122273\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 + 7*n**2 + 10*n + 3. Let b be w(-5). Suppose -2*i = 4*j - 22, b*j + 6 = 4*i - 5. Suppose 0 = 20*k + j - 43. What is k rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**2 + a - 1. Let h be (2*6\/8)\/((-3)\/(-12)). Let t(s) = -5*s**2 - 6*s + 9. What is h*g(m) + t(m)?\nAnswer: m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -27 - -60?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 99062 and -0.1?\nAnswer: -9906.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9*n + 36 + 0*n - 34)*(35*n**2 - 20*n**2 + 21*n**2) to x*n**2 + v*n + w*n**3 + z and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 2*t**2. Let y(a) be the first derivative of -9\/2*a**2 + 0*a**3 + 1\/3*a**4 + 11 + 0*a. Let d(o) be the second derivative of y(o). Calculate q(d(c)).\nAnswer: 128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 174 - -88. Let r = d - 523\/2. Factor -1\/2 - 1\/2*h + r*h**3 + 1\/2*h**2.\nAnswer: (h - 1)*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -157\/42?\nAnswer: -157\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**2 - 116*z - 216.\nAnswer: -4*(z + 2)*(z + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 371*m + 751. Let b be c(-2). Solve 16*d - 25*d = -b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -97 - 37*w**2 + 2666*w - 2666*w with respect to w.\nAnswer: -74*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2aa61 (base 12) in base 14?\nAnswer: -17d69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 276 + -146. Let w(d) = 19*d**2 - 187*d - 187. Calculate the remainder when s is divided by w(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -81*l + 1 - 1 - 55*l to the form h*l + x and give h.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from wjaewawgawjwaaeaaeew.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 110976 to the power of 1\/2, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 6006, 6011, 6016, 6021, 6026, 6031?\n\"Answer: 5*u + 6001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56955 is divided by 4746.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 55321778*k**3 - 40651557*k**2 wrt k.\nAnswer: 331930668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 502446.2*-5\nAnswer: -2512231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39615 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -540965 bigger than -540965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-33)\/36)\/11*-2)\/(-1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*h**3*m**2 - 1304*h**3*m - 2*h**3 - 9018*h**2 - 4*m**2 wrt h?\nAnswer: 12*m**2 - 7824*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 34834*g**3*l + 3*g**2*l*u**3 - g*l*u**3 + g*u**2 + 13*l*u**2 + 68 wrt g?\nAnswer: 209004*g*l + 6*l*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + 3050122?\nAnswer: 3050121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*h - 20. Let c(x) = -x**2 + 20*x - 1. Let j be c(h). Let f = j + -69. Sort -5, 0, f, -3 in decreasing order.\nAnswer: f, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, l: 2}. What is prob of picking 2 l and 2 p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d + 122. Let f be y(0). Suppose 0*r + 3*r - 2*n = f, 0 = -r + n + 40. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1730944545 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 2*x = -34, 14 = -4*y - 3*x + 9. Suppose 8*g + 11 - 43 = 0. Let s = -16 + 23. Solve g*f - 20 = 0, -y*f + 27 = -5*w + s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*l - 5*l - 26775. Suppose -l = -j + 10*j. Let r be j*4 + 0\/2. Round r to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 0*x - 759. Calculate the highest common divisor of 23 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 54000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -410\/7 bigger than -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.14, 1, 29.4, -0.2, -10?\nAnswer: 29.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1900) - 4*(sqrt(1900) + 0)) + sqrt(1900) + sqrt(1900)*-1*4)**2 - (sqrt(1900) + sqrt(1900) + sqrt(1900)*1*-2 + 4*(0 + sqrt(1900)))**2) + -4.\nAnswer: 37996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3463521 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -49532.52723136 and 0.01?\nAnswer: 49532.53723136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 2*d + 4, 6*d + 11 = 3*d - u. Let z = 5 + d. Let o be (-1)\/((1 - z)\/4). Solve 6 = -2*h - o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 0*j + 8 = 0. Suppose 2*r - 2 - j = 0. Suppose -9 = -k - r*w, -5 = -4*k + 2*k + 3*w. What is the greatest common divisor of 12 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*-0.03619\nAnswer: 0.018095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -288442 (base 10) to base 14.\nAnswer: -77190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 13, o: 6}. Give prob of picking 1 f and 1 o.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -77\/4 in -0.18, -23\/3, -4?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 58424036443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1639*d + 1647*d = -8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 96 + -27 + 41 - 34\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 265375575 to the power of 1\/3, to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-5)\/10 + 1)*10\/1. Suppose -38119 = -3*m - r, -9*r + 5*r - 63543 = -g*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 5 = -6*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 64\/5 of a decade in months?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6269 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8069, 16158, 24241, 32318, 40389?\nAnswer: 48454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -52*h**2 - 3*h - 3. Suppose 0 = p - 0*p - 3. Let m be a(p). What is m rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 74562 and 2856.\nAnswer: 2087736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -749 + 976.2. Let v = 227 - h. What is the nearest to v in -0.1, -3, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -250 + 249.5. Sort 8, -1\/3, k, -0.4 in decreasing order.\nAnswer: 8, -1\/3, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0, 55, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 732455.\nAnswer: 5, 263, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 456 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.03 + 4.97. Let i = 1 - 0.8. Suppose -8*l = 3*b + 31, 3*b + 4*l + 4 + 19 = 0. Put b, u, i in decreasing order.\nAnswer: u, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -39*x**2 + 6*x + 20. Determine u(-3).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 38, 1, 8 in descending order.\nAnswer: 38, 8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 133\/(201495\/(-202)) + 596\/(-30)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21206 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 620369 and 721?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4160 and 6370?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*c - 20*b + 22*b - 10, -5*c - 20 = -4*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o + 8. Let l be i(8). Let b be (-2 - -3) + 3 + -2. Suppose -b*k + 30 = 3*k. Solve -4*h + 2*h - k = l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (-4 + (0 - 0)) - 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of g**6\/120 - g**5\/12 - 3*g**4\/8 - g**3\/2 + g**2. Is z(7) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -20 + 1 + 3\/(-3). Let u be (-27)\/6*(1 + 1). Let t = u - w. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -352, -625, -938, -1291?\nAnswer: -1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 14.86 or -123206?\nAnswer: 14.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 292*b + 1 - 3 - 577*b + 2 + 286*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -122 - -124. Suppose 0*o - j*o = 5*f - 1805, -5 = -5*f. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2387 = 107*s + 61 - 1205 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -593, -576, -543, -488, -405, -288, -131, 72?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-9492)\/2712*(-174)\/21\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*j + 10 = -52*j + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/(-6))\/(2\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 135 + -229. Let y = -131 - g. What is y rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -193872 and -3486?\nAnswer: 675837792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 68 = -4*n. Suppose -20 = -2*u + 4*f, -6*u + 2*u + f = -n. Suppose -8*s + u + 14 = 0. Solve -4 = -4*m + s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -7*i. Let y(b) = 10*b. Let q(l) = 7*g(l) + 5*y(l). Let v(o) = 0*o - 3*o + 0*o. Calculate q(v(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y**5\/3 - 944*y**4\/3 - 620*y**3 + 936*y**2 = 0.\nAnswer: -234, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 10*m. Let s(u) = 3367 + 7*u - 3367 + u. Give w(s(y)).\nAnswer: 80*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 420\/14 + 5 + 1452\/(-72)?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/3 - -1)\/(-49 - 2482\/(-51)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3716017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 76406 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - p + 6 = a, 18 = 5*a - 2*p. Find the third derivative of 0 + 0*h**2 - 3*h**2 + 0 - a*h**3 wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 117937 - 117937 - 77*m**4 + (m**2 + 2*m**2 - m**2)*((2*m**2 - 5*m**2 + 2*m**2)*(-1 + 3 - 1) + 0*m - 5*m**2 + 0*m).\nAnswer: -89*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 1)*(-37*m - 27 + 55 - 32)*(3*m**3 + 0*m**3 + 0*m**3).\nAnswer: 222*m**4 + 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 - -83?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5581 - 29.\nAnswer: 5552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 11:59 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (24 - 26) + 5*1. Suppose 4*x - 5*c = 3, 2*x - 5*x + 9 = 3*c. Suppose 0 = h*r + x + 10, -3*n = 4*r + 10. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - 2. Let j(g) = 1. Let l(n) = -7*n. Let k(q) = -7*j(q) + l(q). Is 9 a factor of k(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 323652 is divided by 107875?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/(-6)*(-8)\/6. Let i be (1 + y)\/((-1)\/4). Suppose m + 18 = -5*f, -3*m + i*m - 17 = 2*f. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -4  (b) 0.222  (c) -0.2  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9432, 9442, 9464, 9504, 9568, 9662, 9792, 9964?\nAnswer: 10184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 71 + 18)*(110*n - 4*n + 27*n).\nAnswer: 12768*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.614*-0.05\nAnswer: 0.0307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -4*q**3 + 4*q**2 + 4*q + 4. Let i(a) = 4*a**3 - 3*a**2 - 3*a - 3. Calculate -4*i(w) - 3*j(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 220, 283, 202, -17, -368, -845, -1442, -2153?\nAnswer: -2972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.252 - 0.552. Sort -0.2, 4, r in increasing order.\nAnswer: -0.2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12049708 is divided by 444?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -3*h**2 + 18*h + 5. Calculate l(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwwwwwwvwvw. Give prob of sequence vw.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 675043532 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -489*f - 172*f + 79590 = 438*f + 16947 for f.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1073.78 rounded to the nearest ten?\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 1637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 645\/(-60) + 10\/(-8). Find the common denominator of 83\/(-5) - f\/3 and ((-350)\/45)\/(22\/(-6)).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 14) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 692.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-9)\/7)\/(-3) + 58860\/252. Suppose -5*o - 68 = -j, -5*j + f = -2*o - 152. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 * 1689\nAnswer: -1689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 57\/115 - 28951\/59570. Is -1 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 - 4*d. Let i(p) = p. Let z(b) = -c(b) - 2*i(b). Let a be (-1)\/(10\/15 + 1\/(-2)). Let x(s) = s. Give a*x(y) + 3*z(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 42032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 11056391.\nAnswer: 22112782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 235720*w**2 - 51*w + 1761 wrt w?\nAnswer: 471440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 6913591 - 218540.6\nAnswer: 6695050.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*u = 16*u - 98*u + 21 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 52.6546 * 0.4\nAnswer: 21.06184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 10:30 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-513)\/(-152)*30\/810*(0 - 2\/3)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-25)\/24 - 160\/(-240). What is the third biggest value in r, -0.5, 0.3, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 0.0131\nAnswer: 4.9869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -786*v = -3633*v + 14823 + 41934 + 65664 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*a = 37*a + 17892. List the prime factors of a.\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 22827721081.0800289 - 22827717351. Let m = j - 3661.08004. Let c = -69 + m. Round c to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 20*j. Let m be o(4). Suppose -5*d = -b + 16, -3*b - 2*d = 2*b - m. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34711.\nAnswer: 103, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.95 - -2.95. Let r = 0.59 - a. What is r rounded to 1 decimal place?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -2*x + 2. Let q be n(4). Let k(i) = 3*i - 1 + 2*i - 6 - 6*i**2. Let t(j) = 7*j**2 - 6*j + 8. Calculate q*k(g) - 5*t(g).\nAnswer: g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13)\/(52\/(-60))*(88\/(-10) - -8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 40918 and 533?\nAnswer: 531934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:09 PM and 7:18 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 1 + 2. Let t(o) = -o**3 - 8*o**2 - 6*o + 6. Let j be (2\/4)\/((-5)\/70). Let m be t(j). Sort a, -5, m.\nAnswer: -5, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 818 is divided by 172?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4326 is divided by 1328.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16.11 - -0.11. Let d = 16.06 + j. Which is greater: 2 or d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(-2) + (-1)\/(-2). Let t(d) = d**2 - 1. Let x(u) = 6*u**2 - u - 2. Let p(l) = -2*t(l) + x(l). Let o be p(-1). Sort 3, o, -2, v in decreasing order.\nAnswer: o, 3, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -4*h + 2*u, -4*u + 105 = 5*h + 91 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 b when three letters picked without replacement from rebrrrb.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26 + 145. Calculate the highest common divisor of 19 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 5, t: 4, p: 6}. What is prob of sequence dtdd?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*x - 32*x = 95 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6 - 790a?\nAnswer: -7914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-10)*-5 + 1*(-15)\/(-12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 211, 216, 225, 238?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -22*y - 10. Is b(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110 (base 2) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17155, 68692, 154603, 274900, 429595, 618700?\nAnswer: 842227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {d: 1, h: 3, p: 1, s: 1, i: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 - 225*u + 81*u + 7)*(-1 - 1 + 0).\nAnswer: 288*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12135 + -12134.99. Is 162 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5000653759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1318, -2637, -3952, -5263, -6570?\nAnswer: -7873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/5)\/((-3479)\/2485).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of -20 and -11331.\nAnswer: -11351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18 + 25. Let v = o - 2. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 44 and 550.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 + 18. Solve r*b - 25 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 PM and 1:39 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**2 - 17*t - 30. Let u be k(-12). Find the third derivative of u*v**5 + 89*v**2 + 3779*v + 73*v**5 - 3779*v wrt v.\nAnswer: 6180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(125) - (0 + sqrt(125))) - 1*sqrt(125)*-2)**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-1)*y)**(-32))**(2\/33)\/(((y\/(y\/y**(2\/5)))\/y**(-5\/4))\/((y\/(y**(-1)\/y))\/y)**(22\/3)) assuming y is positive.\nAnswer: y**(4751\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -43936 take away -23?\nAnswer: -43913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/10*(105\/12)\/7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*n + z + 43960 = -21*n, 0 = n + z - 8792. Find the third derivative of -n*w**6 - 211*w**2 - 7*w**2 + 8564*w**6 wrt w.\nAnswer: -27360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*p - p - p)*(-p**3 + 0*p**2 + 0*p**2) + 3*p**4 - p**4 - p**4.\nAnswer: -11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnklldsrsdssl. What is prob of sequence rss?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let z = -15.2 - -16.2. Let r = 1 - 4. Suppose -5*a + t = -0*t - 27, -3*t = a + 1. Put r, z, a in decreasing order.\nAnswer: a, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 230 divide 190351910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10547974.7209 + -9158917.722. Let d = 1388974 - j. Let z = d - -83. Round z to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 5*j - 101, 2*j - j = -5*x + 31. Let n = -18 + j. Calculate the lowest common multiple of 11 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30834686.\nAnswer: 2, 15417343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -6*a**3 + a**2 + 6*a + 6. Let x be m(-2). Is x*3\/(12\/46) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30)\/(-270) + 267\/27?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24820 + -18.817791.\nAnswer: -24838.817791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 4*h = z + 130, -4*z - 2*h = 78. Suppose -4*o + 432 = -2*r, 3*o + 3*r + 481 - 823 = 0. Let q = o + z. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of 11*x**3\/6 - 11*x**2\/2 - 22*x. Is b(2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2670.31 - -0.3\nAnswer: -2670.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most -1\/1224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5530543 - -5530545.470507. Let g = -2.47 + a. What is g rounded to five decimal places?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 147854 and 32627.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iih when three letters picked without replacement from {u: 1, i: 9, h: 2, y: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.01 in 38, -2\/7, -0.5, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -6*j**2. Let g(q) be the third derivative of 7*q**4\/24 - 38*q**2. Determine l(g(p)).\nAnswer: -294*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1840 + 3213. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -19*j + 14. Let c be k(-3). Let n = -66 + c. Let z be 1 + -1*(-1 + 0). Solve -t - 16 = -n*v, 5*v - 17 = 4*t + z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 40 = 3*a. Calculate the remainder when a is divided by 65\/8 + (630\/144)\/(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (63\/(-700))\/(-2 - (-285)\/138) and 57\/25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -g - 326, -77*x = -81*x - 4*g + 664. Let z = -74 - -127. Let u = x - z. Is u a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -34\/165 and -13\/198?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 6188772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 4991, 10153, 15311, 20465, 25615, 30761, 35903?\n\"Answer: -2*s**2 + 5168*s - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2\/2 + 29023*g\/2 + 12000846.\nAnswer: (g + 852)*(g + 28171)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -184965 >= -184965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 75, 307, 693, 1233, 1927, 2775?\n\"Answer: 77*f**2 + f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-5*sqrt(52))**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2a566 (base 11) in base 6?\nAnswer: 532153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 13\/10)*(-174)\/87\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m - 5. Let k = -8 + 1. Let z be a(k). Let u be 5\/z - 1\/(-2). Solve -4*p - 4*v + 21 = -v, -u*v = -2*p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 28290465*v. Let b(f) = f**2. Determine r(b(a)).\nAnswer: 28290465*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the second derivative of -3\/2*a**2 - 1\/6*a**4 - a + 1\/20*a**5 + 0 + 0*a**3. What is p(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.4 take away 58.4?\nAnswer: -65.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(4\/5)*i\/(i*i**(-5)*i))\/(i**(-6)\/(i**(-2\/3)\/i*i))*(i\/(i*i**0*i))**(26\/9)*(i*((i\/(i**(-1\/5)\/i))\/i)\/i)\/(i*i\/i**(-2)) assuming i is positive.\nAnswer: i**(49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 6 = -x + 73, -2*g - 3*x + 41 = 0. Suppose -158 = -3*r + g. List the prime factors of r.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 37, 34, 59, 130, 265, 482, 799?\n\"Answer: 3*z**3 - 4*z**2 - 12*z + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5.62 + -0.38. Let d = f + 5.9957. What is d rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (21 + 14)\/7 + 7. Suppose 0 = -5*t + 2 + 13. Solve n = -z - t*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 90\/(-110)*(-18)\/(-405)*-5.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2.2 in -150, 1\/2, -3\/2, -13?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 28 = 2*u - 5*u, -5*r + 23 = -2*u. Suppose 4*v - 145 = o - 40, 3*o - 127 = -r*v. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1912\/20*(-9)\/(81\/30). Let q = g + 320. Suppose 4\/3 - 2\/3*t**3 - q*t**2 + 2\/3*t = 0. Calculate t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -16*q**3 + 436*q**2 - 2828*q + 680 = 0.\nAnswer: 1\/4, 10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - -7. Suppose l*c - 9*c = 14. Let v(k) = 47*k + 2. Is v(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -32 - -2. Let o = s - -29. Which is the closest to 2?  (a) -0.1  (b) o  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11668791.\nAnswer: 3, 167, 23291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*w + 22005 + 368735. What is the thousands digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7679 is divided by 160?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -2*m**2. Let v(j) = 3*j + 11. Determine z(v(g)).\nAnswer: -18*g**2 - 132*g - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nqnnynqqno. Give prob of picking 1 o and 2 n.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 PM and 9:51 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-2)*262\/655)\/(515\/(-10)).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.9 - 1. Let h(s) = -6*s**3 - s**2 + 4*s + 2. Let a(l) = -l**3 - l**2 - 1. Let t(c) = 5*a(c) - h(c). Let f be t(5). Is f < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -25.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -42910 - -64584. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -2*y**2 - 6*y - 4. Let i(n) = 4*n**3 - n**3 + 6*n**2 - 5*n**3 + 3*n**3 + 10*n. Let f be i(-3). Give l(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from xxvhhihhhihihixhhilh.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 2*j**5\/19 - 4*j**4\/19 - 2*j**3\/19 + 4*j**2\/19 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -28 - -31. Let b(y) = -1 + 8*y - i*y - 5 + 3. What is b(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v = -2*a - 22, 3 + 12 = 5*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -710 + 854. What is the smallest common multiple of g and 40?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -2*q + 11. Find the third derivative of -7*r**2 + 0*r**6 - q*r**6 + 3*r**2 wrt r.\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 2*p**2 - 13*p + 2. Let c(n) = 7774*n**2 - 7185*n + 14. Let u(y) = c(y) - 7*v(y). What is the second derivative of u(i) wrt i?\nAnswer: 15520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -46 + 44.36. Round h to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 357 = 3*w, 0 = -0*f + 4*f + 4*w + 444. What are the prime factors of 1 + (-6)\/(30\/f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7484162 meters to centimeters.\nAnswer: 74.84162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2465\/3 - -818. What is the closest to 0.1 in 2\/11, -2\/21, -5, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by 2823488.\nAnswer: 3\/1411744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 173.8271 + -173.9. What is the third smallest value in 2, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -761563947.2 rounded to the nearest 100000?\nAnswer: -761600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -12, 2666, 5 in descending order.\nAnswer: 2666, 5, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 644*a - 811*a + 164*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= -2\/3637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/2  (b) 0.2  (c) -116  (d) 5  (e) -6\/5  (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/4  (b) 1\/148  (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6613 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**3 - 16*u**2 + u + 22. Suppose 84*j - 34*j = -800. Give m(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1025, 2311, 4451, 7445, 11293, 15995?\nAnswer: 21551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**(3\/8))\/((s\/s**(-1\/8))\/s))\/((s*s*s**(-3)*s)\/(s*s\/(s*(s*s**(-2\/3))\/s))))\/((s**1)**(-12\/13)*s**(-1\/2)\/s**(-5)) assuming s is positive.\nAnswer: s**(-103\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19815050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -4*i - 11. Suppose 356 = 6*q + 104. Suppose -2*d - q = -p + i, -2*p + 5*d = -92. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -26.204 to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (13\/((-182)\/24))\/(6\/(-7) + 1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 27 = 4*x + 31, 3*x = -4*t + 44. Let l(o) = 4*o - t*o - o. Let i(q) = -2*q**2. What is i(l(c))?\nAnswer: -242*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 224 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 261367.1um?\nAnswer: 26.13671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 4*f - 1. Let y be 2 - 7\/(14\/(-4)). Suppose n - 10 = -u, y*n + 2*u + 70 = 8*n. Is v(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.12 + 0.38. Let r = 2.9 - 3. Sort r, w, 5.\nAnswer: r, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**14*u)**(-6))**40 assuming u is positive.\nAnswer: u**(-3600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 737839479 to the power of 1\/2, to the nearest integer?\nAnswer: 27163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a millennium in decades?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sussu. Give prob of picking 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 31\/9 - 19\/9. Suppose y + g - 2 = 0, 0 = -y + g + 2. Which is the second biggest value?  (a) y  (b) 0.1  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21879452978 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -2*s**2 + 21*s + 18. Let x be o(14). What is x rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 - 30*s - 78. Let v be j(-3). Solve 43*c + g = 39*c - 5, c + v*g + 4 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110101001100001001 + 1011?\nAnswer: -1110101001011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -9*m**3 - 353*m**2 - 8*m - 10156. Let g(o) = -7*o**3 - 343*o**2 - 7*o - 10157. Let z(n) = 6*g(n) - 5*h(n). Find the first derivative of z(f) wrt f.\nAnswer: 9*f**2 - 586*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 b when three letters picked without replacement from ogobgbbgbxokoo.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.042 - 3.958. Which is the closest to y?  (a) 4  (b) -2  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -13*w**3 + 5406*w**2 + 17173*w + 2514 = 0.\nAnswer: -3, -2\/13, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2cc669 (base 15) to base 2.\nAnswer: 1000010001010110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-3))\/(-3*(-6)\/27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 11.265 - -0.86179\nAnswer: 12.12679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15882955?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is 573 (base 9) in base 8?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {m: 1, a: 7, z: 5, y: 3, v: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 213.2 + -213. Put -22.2, -0.3, y in ascending order.\nAnswer: -22.2, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pa when two letters picked without replacement from hphphhmahmahm?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, i: 4}. Give prob of sequence iih.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001444497 to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 12*x - 2476 = -10*x, 4*u = 5*x + 1991. What are the prime factors of u?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 - s. Let j(z) = 4*z - 42. Let a be j(9). Let v(n) = 5*n**2 + 6*n. Calculate a*q(t) - v(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-1)*(-7 - (-156)\/16). Suppose -24 - 41 = -5*s. Is s > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29188 >= 42051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 5*p - 1 = 0. Suppose -y - i = -82, y - i - 40 = 46. Let b be (18\/y)\/(p\/(21\/6)). Is b greater than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 4*v**2 - 51. Let r(z) = -z**2 + 17. Calculate -2*o(f) - 7*r(f).\nAnswer: -f**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/78*2*12\/24\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -2  (b) -4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 9. Solve c + 2 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4.82 * -68719\nAnswer: -331225.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 23c - 3?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -141112 - -2?\nAnswer: -141110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -21128 (base 11) to base 15\nAnswer: -91ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 13*v - 7 + 6 to f + m*v and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 0*a**3 - 4*a**3 + 4*a**3 - a**3. Let j be -1 + (0 - 0\/(-4)). Let d = 1 - 5. Let o(q) = 5*q**3. What is d*r(x) + j*o(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = -d - 10, -5325*s - d - 8 - 30 = -5319*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-48)\/(-12) - 1*-2. What is the hundreds digit of 10790\/55 - 0 - f\/33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3077 and 4891053.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 12 = 4*y, -4*o + y - 18 = -0*o. Let w = 33\/16 + 343\/16. Find the common denominator of w and (o + (-33)\/(-6))\/((-87)\/(-53)).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3058135489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1995 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2232 + -2236. Which is the biggest value?  (a) l  (b) 55\/7  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*b**3 - 4*b**2 + 4*b**2 + (-4 - 6*b**2 + 4)*(369 - 369 - 54*b).\nAnswer: 320*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of 1\/24*w**4 + 0 - w**2 + 0*w - 1\/6*w**3. What is the first derivative of z(n) wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 17865000 and 2258136?\nAnswer: 1411335000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + (-32)\/(-4) + -8. Which is the fourth smallest value?  (a) -0.3  (b) 1.6  (c) -2  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 339 less than -1.376?\nAnswer: -340.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 331657792 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -4*d**5 - 72*d**4 - 192*d**3 - 184*d**2 - 60*d = 0.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 497725 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -0.992. What is k rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 9*q + 25. Let x(l) = -l**2 - 4*l + 14. Let a be x(-5). What is the hundreds digit of w(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9*20\/1260)\/(-3)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the second derivative of -o**3\/6 + 4*o. Let n(q) = 3*q + 4. Let m(w) = 6*w + 9. Let f(z) = 4*m(z) - 9*n(z). Calculate f(h(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.01 + -2.01. Let y = -4.3 + 35.7. Let z = y - 31. What is the closest to -0.1 in -5, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*c**2 - 3 + 3)*(-66 - 60 + 129 + (-4 - 3 + 5)*(-35 - 30 - 6)) in the form h*c**2 + k*c + l and give h.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 - 14*r + 4. What is the tens digit of u(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (1 - 2\/(-15))) + (-18844)\/10095?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*c**3 - 2*c + 2*c - c**3 + 8*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 729.4839 millimeters?\nAnswer: 729483.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6366.4 + -6367. Sort 0, p, 3\/2 in increasing order.\nAnswer: p, 0, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 312989 is divided by 118.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10*(-2)\/(-4)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 - 6*f**2 + 6*f - 5. Suppose -3*j + 7*j = 2*b + 272, 2*b = -2*j + 124. Suppose -16 = j*k - 70*k. Determine h(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 258833007.\nAnswer: 3, 17, 23, 73553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6185 and 11?\nAnswer: 68035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -694, -866, -1044, -1234, -1442, -1674, -1936, -2234?\nAnswer: -2574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -48 * -23.5\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5199, 686, 1 in increasing order.\nAnswer: -5199, 1, 686","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 6.0792 + -0.1092. Let a = i + -10.97. What is the second smallest value in a, -33, -1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11451 + -8632. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20aa (base 15) in base 11?\nAnswer: 5212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 154, 108, -20, -272, -690, -1316?\nAnswer: -2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6560 + -24124?\nAnswer: -14234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 116*u**3 - 131*u + 3. Let g(i) = 394*i - 19*i**3 + 4 - 327*i**3 - 14. Let o(c) = -3*g(c) - 10*z(c). Find the second derivative of o(f) wrt f.\nAnswer: -732*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 19 = 3*o. Let p be o\/1226*(-10)\/40. Let u = p + -29435\/13486. What is the common denominator of 39\/8 and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 546840.4 micrograms?\nAnswer: 546840400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of j**8\/2688 + j**7\/168 + 13*j**6\/960 - j**5\/8 + 3*j**4\/16 - 1157*j**2. Determine f, given that u(f) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 280323.1 centuries to years.\nAnswer: 28032310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 12 = 21. Find the first derivative of 2*q**2 + 3 - 33*q + n*q wrt q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/650 and 22\/819?\nAnswer: 40950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (285\/38)\/(3 + 0)*1\/(-45)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4.9, -1\/6, 5, -1\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 + -16. Let k = f + 3.00034. Round k to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3224.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 47968601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 5*b = 0, 0 = 2*r + 5*b + 8 - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 - 1\/(3\/(-3)). Suppose -b*c = -227 + 35. Let v = -72 + 104. What is the highest common divisor of v and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 300 = -18*c, -93 = -96*b + 92*b - 5*c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -v**2\/3 - 11431*v\/3 - 3810 = 0. Calculate v.\nAnswer: -11430, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37661 is divided by 314?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + -129a081?\nAnswer: -129a085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 12850 (base 14) in base 2?\nAnswer: 1011000111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -240 divided by -60?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -17, 2\/7, -0.6671, -0.6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnnznnnnnnznzn. Give prob of sequence znz.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from barrmarrlllrr. Give prob of sequence ml.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**2 + 3*f**2 - 3*f**2)*(0*f**2 - f**3 + 0*f**2) + (-f**4 - 2*f**3 + 2*f**4 - 2*f**4)*(207*f - 128*f + 93*f).\nAnswer: -174*f**5 - 344*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -331*s + 196*s - 315*s to z*s + m and give z.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 - 7*i + 11. Let d be j(5). Is -2\/123 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 2*j = 18, -5*j - 22 + 7 = 5*r. Let x be (-1)\/r + 21\/6. Solve -2*a - 4 = -x*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x - 3*x - x + 4*x - 4*x + x + (-3*x + x - 2*x)*(3 - 1 - 3) + 2 - x - 2 + (1 - 2 - 1)*(-2*x + 0*x + 0*x).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - c - 328, -p + 43 = c - 61. Calculate the smallest common multiple of 10 and p.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*k + 116 - 36 = 0. Which is the second biggest value?  (a) -10\/3  (b) 1  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(80\/(-12))*40\/255?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 180, -4, -5, 54 in descending order.\nAnswer: 180, 54, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -8\/3*v - 1\/3*v**3 + 0 - 2*v**2 = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fcm when three letters picked without replacement from {k: 2, h: 2, a: 1, m: 1, c: 2, f: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-122 + 122 - 24*f)*(-4*f + 7*f + 4*f - 2).\nAnswer: -168*f**2 + 48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 divided by 217.\nAnswer: -17\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36 and 2136.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 9032195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 + 3*x**2 + 4*x + 5. Let g be f(4). Let p(z) = 2*z**2 + 41*z - 63. Let v be p(-22). Let j(b) = -b - 2 + 2*b + 0*b + 0*b - v*b. What is j(g)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 - 30*d + 215. Let q be u(-36). Which is bigger: q or -3\/827?\nAnswer: -3\/827","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 64*s + 755*s - 4914 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -31 + 126 - 9 - 242 + 7*s. Calculate p(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 9*y**2 + 948*y - 1579. Calculate a(-107).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -47203.659 + 47163. What is n rounded to one decimal place?\nAnswer: -40.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 2*s + 4. Suppose -5*a - 72 = -s*a. Suppose -7 = i - a. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6213082 to the power of 1\/2, to the nearest integer?\nAnswer: 2493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 123\/29312668 and -57\/280504.\nAnswer: 58625336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*o**3 + 5*o**3 - 15*o**3.\nAnswer: -39*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 26998 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**4 + y**3 - y**2. Let g(u) = 49*u**4 - 5*u**3 + 4*u**2 - 9. Let l(b) = g(b) + 5*z(b). What is the third derivative of l(j) wrt j?\nAnswer: 1296*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + 12*r - 5. Let z be l(11). Let d be (-10 + z)*2\/28. Which is the biggest value?  (a) -4  (b) 5  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6033 divided by 2.\nAnswer: 6033\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5988 and 48.\nAnswer: 23952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 503, 0.059, -4, 4 in ascending order.\nAnswer: -4, 0.059, 0.5, 4, 503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + (3 - (3 - 1)) + 188 + -178?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s - 4*s + 2*s)*(s + 2*s - 4*s)*(-1 - 3 + 5)*(-6 - 3 - 1)*(-1639 + 155*s + 1639).\nAnswer: -1550*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 37 - 42. Let g(x) = 2*x**3 - 22*x**2 + 4. Let o be g(11). Let r be 1*6\/o + -4. Sort w, -0.3, -0.2, r.\nAnswer: w, r, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 275 + 275. Sort r, 4, -1 in decreasing order.\nAnswer: 4, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 39 = -v, -2*v + 31 = 5*b - 45. Suppose 0 = 2*x - b - 2. Let u = 8 - x. Put u, -5, -1 in increasing order.\nAnswer: -5, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/13)\/d*d**(-2\/15))**(17\/2)*(d**(2\/5))**8\/((d**2*d)\/d*d*d*d**(-2\/3)*d) assuming d is positive.\nAnswer: d**(-3689\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -219429 (base 12) to base 6.\nAnswer: -15242453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 164478740802658 + 5\nAnswer: 164478740802663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i + 4. Suppose -6 + 18 = 2*u. Let o = 2 - u. What is q(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**4 + 4324*j**3 - 4320*j**2.\nAnswer: -4*j**2*(j - 1080)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddddedqqedeeddd. What is prob of sequence qdde?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.2 + 0.3. Let z = -7.3 + 7. Put c, z, -2\/7 in increasing order.\nAnswer: z, -2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/2 or -0.16199?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wlllnwlhwllnhlllhll. What is prob of picking 3 w?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2505864364 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 30*z**2 - 743*z - 4724. Calculate n(30).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 + 10*o**2 + 11*o + 21. Let q be a(-9). Suppose q*v - 7 = 8. Let x be (-10)\/(-15)*(0 - -21). Solve v*p = 15, 0 = 4*m + 5*p - 1 - x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*j - 20 = 85. Solve -134\/7*u**j - 48\/7*u - 8\/7 - 114\/7*u**2 - 18\/7*u**5 - 78\/7*u**4 = 0 for u.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 173, -3\/5, 4, 1, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of 59*j**2\/2 - 17*j - 70. What is the first derivative of t(s) wrt s?\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001366852 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 14 - 2. Find the second derivative of 2*v**3 - 2*v**3 + 0*v - 4*v**3 - q*v wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/109, 9.6, -2, -17\/8 in increasing order.\nAnswer: -17\/8, -2, -1\/109, 9.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-24)\/180)\/((-14)\/5))\/(9\/270).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.1622 - 0.2082. What is the second biggest value in g, -4, 2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20 + 20. Suppose 4*b - 34 = g, 3*b + v*g - 16 = -4*g. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, -4, -15198 in ascending order.\nAnswer: -15198, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2139 and 370461?\nAnswer: 11484291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/68*-1)\/((-46)\/(-276)). What is the third smallest value in 0, d, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7*19*5\/475)\/((-8)\/15)?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + (-42)\/18 + 42\/(-108). Let i(h) be the first derivative of 0*h - 2\/15*h**5 - t*h**4 + 1\/9*h**2 + 18 - 2\/27*h**3. Factor i(w).\nAnswer: -2*w*(w + 1)**2*(3*w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -5*r**2 + 79*r + 23. Calculate the remainder when (23*-3)\/((-6)\/4) is divided by g(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/486369 and 14\/15.\nAnswer: 2431845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 - 43*r**2 + 0.\nAnswer: -43*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*c**2*x**5 + 21*c**2*x**3 - 24*c**2 + 2*c*x + c wrt x?\nAnswer: -40*c**2*x**3 + 126*c**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the first derivative of -2299*v**3\/3 - 3740*v**2 + 6431. Find the second derivative of b(c) wrt c.\nAnswer: -4598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z**3 + 4*z**3 - 5*z**3)*(-180 - 8*z + 180)*(3 - 1 - 3).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 2*j - 42, 0*j + 2*j + 6 = 0. Suppose -2*h - u = -3*o, -2*o + o - 4*h - 18 = 0. Suppose -3*d = -o*d. Solve d = 3*p + 14 - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 37, 4.\nAnswer: 4, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4182508978 to the power of 1\/2, to the nearest integer?\nAnswer: 64672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 108895391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 5, -2, -15, -34, -59?\n\"Answer: -3*o**2 + 2*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -92, -186, -278, -368, -456, -542, -626?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 35.27 - 35. Let m = w + -0.399. Round m to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -1595.80749\nAnswer: 159.580749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 6 = 31 - 21, -23*x = -2*k + 33 + 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + ((sqrt(396) + 1)*5 + -1 + sqrt(396) + 0)*-2)**2*3.\nAnswer: 4752*sqrt(11) + 171435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 31*n**2 + n - 43. Calculate the remainder when g(11) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3, 1, 1402 in decreasing order.\nAnswer: 1402, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the second derivative of v**5\/3 - v**4\/8 + 10*v**2 + 18*v. Let r(t) be the first derivative of p(t). Is 16 a factor of r(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 20 - 16. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 3*z**2 + 62*z + 104. Let h = 0 + 5. What is the smallest common multiple of t(-19) and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11 or 1929.9657?\nAnswer: 1929.9657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 290667 is divided by 60.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -0*z + 20. Let f = -19 - z. Suppose -j = 5*a + f, -a = -0*j - 5*j + 21. Solve -j + 1 = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.311465 to three decimal places.\nAnswer: -0.311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v - 25. Let n(p) = -498*p**2 + 83*p + 2075. Determine -249*k(o) - 3*n(o).\nAnswer: 1494*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-200)\/32 - (9 - 15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of 1\/3*q**3 - 6*q**2 + 0 - 24*q. Give v(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -3*u + 825, 3*u - z - 131 = 703. Suppose -297 = -2*d + 5*b, b + u = 2*d + 2*b. Is 26 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (7\/14)\/(1\/10). Suppose 55 = 3*o + 4*w, -18 = -3*o - 2*w + 35. Sort -1, o, q in descending order.\nAnswer: o, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 178271000 rounded to the nearest 100000?\nAnswer: 178300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 36*w - 54. Let j be i(11). Let l = j - 156. Suppose -q + 7044 = s, -q - l = -3*s - 7234. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1\/9 + -7\/18. Let q = 0.2 + -0.2. Let z = 4.5 + 0.5. Put b, q, z in ascending order.\nAnswer: b, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 53537619 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 541*h - 6864 = -317*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14833.7 + 176665.7. Let b = -161751.913 + h. Let d = b - 80. What is d rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:15 PM and 6:56 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6393.1 - -6369. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 81711713*w**3 - 2*w**2 + 45588*w + 129 wrt w?\nAnswer: 490270278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1210 divided by 1.\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25 + 14 + 21 + 8*q + 26*q**2 + 73 - 83.\nAnswer: 26*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-182)\/(-39))\/((-4)\/(-18)))\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -3*o + 15. Let r be t(5). Solve r = 4*m - 0*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y = 10*j - 7*j + 23, 2*y - 9 = j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -18543 < -8883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36987.9 centuries to months.\nAnswer: 44385480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 3*o - 16. What is the third derivative of 21*a**o + 5735 - 5735 + 24*a**2 wrt a?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of 0 - 7*k + 3\/2*k**3 + 17\/2*k**2. Differentiate c(o) wrt o.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q**3\/7 + 144072*q**2\/7 + 267514*q = 0 for q.\nAnswer: -72023, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06*-17.01.\nAnswer: -1.0206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -11*k**3 + 3*k**2 - 2*k. Give c(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.006019 to five dps.\nAnswer: -0.00602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002763455 rounded to 5 dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the third derivative of -c**5\/15 - 4*c**4 - 46*c**3\/3 - 32*c**2. Factor m(u).\nAnswer: -4*(u + 1)*(u + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -11 - 26?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve h = -34 + 39 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cpbfpbpbbbbb. What is prob of sequence pc?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16 + -15. Is 1\/4 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - 1062?\nAnswer: -1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2441121423 (base 5) to base 13\nAnswer: -1281844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 36147179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*u - 12*u = -27*u - 46*h + 926, -4*u - 5*h + 108 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f + 12. Let k(v) = 11. Calculate 2*k(m) - 3*q(m).\nAnswer: 3*m - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -5*r - 270. Suppose -2*s - 4*c + 112 = 2*s, s - 4*c = 48. Let j = r - s. What is j rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.4590606 to 2 dps.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 59 - 56. Suppose -j + 3 = 1. Suppose 3*v + v = -2*p + 12, v - j*p = i. Solve v*x = 7 - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9 greater than 3.38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17 - 51. Let x = u + 18. Let g = x - -16.2. Which is the third smallest value?  (a) -0.4  (b) -5  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -21148*h + 1607252. What is v(76)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5\/(-1 - 4)*(-3191)\/710. Let r = -2\/355 - c. Sort -1\/2, 0.4, 1\/5, r in ascending order.\nAnswer: r, -1\/2, 1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5.55 + -0.63. Let k = h + 0.08. What is the nearest to -2 in 3, k, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i + 2*i + 0*i)*(-2*i**2 + 0*i**2 + 8*i**2) + 123*i**2 - 23*i**3 - 123*i**2.\nAnswer: -29*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**1)**(-5\/14))**(-3\/11)*h**(5\/3)\/(h*h**(-6))*h*h**(2\/5)*h**(-1\/5)\/h assuming h is positive.\nAnswer: h**(103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiyy. What is prob of sequence yyi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = 17*p + 247 - 357, p = 3*s + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -21be93 (base 15) to base 9\nAnswer: -3023183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -1. Let t(f) = 28*f**2 + 0 + 0*f - 4 - 4*f + 13*f**2. Let s(y) = t(y) - 6*w(y). Is s(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -30d - -1?\nAnswer: -30c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 5 + sqrt(3) + 0 + 3)**2.\nAnswer: 10*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16 (base 9) to base 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((-1 + 0 + sqrt(1053) + sqrt(1053)*2 + -4)*4 + (sqrt(1053) + -2 + -3 - sqrt(1053) - 4*2*sqrt(1053))))**2.\nAnswer: -28800*sqrt(13) + 279568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 - 49*y**2 + 54*y + 2639. Determine f(-49).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 1222*h**3 + 2*h**2 + h + 1. Let g be o(-1). Let z = g - -488. Let c be -100*(z\/3)\/(-4). What is c rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 145200\/(-511140) + 2\/7. Is k < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - 3) + 60 - (169 - 159).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 158*g**3 + 7111*g**2 + 68*g + 1027. Give h(-45).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the first derivative of a**4\/4 - a**2\/2 + 3. Let u(x) = 6*x**3 - 9*x. What is -u(i) + 9*y(i)?\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-46)\/23)\/((-1)\/9) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0  (b) -4\/9  (c) -0.589  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -410\/233511 + -61488338551\/6538308. Let m = z - -36779\/4. Let r = m - -210. Which is greater: r or 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -8*m**2 - 105*m + 34. Calculate l(-13).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1254 + 2316. Calculate the greatest common divisor of 118 and o.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the third derivative of -x**9\/60480 + x**8\/3360 - x**7\/1260 + x**5\/30 - 2*x**2. Let f(c) be the third derivative of p(c). Give f(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -57*((-10)\/75)\/(38\/95).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 351 - 254. Solve u*i = 95*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -2, -4, -10, -374 in descending order.\nAnswer: 4, 1, -2, -4, -10, -374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -122024240 - 2?\nAnswer: -122024242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 - 7*z. Let q be j(-6). Let g be 3\/(-2) + 3\/q. Which is the nearest to g?  (a) -2\/7  (b) -4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -63\/4  (b) 31  (c) -6  (d) 0.1  (e) 0.34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2418916.\nAnswer: 2, 604729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 14*t. Let i(l) = -112*l**2 + 36*l + 3. Determine i(n(a)).\nAnswer: -21952*a**2 + 504*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 42690435 and 570?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 114695 and -8396.\nAnswer: 106299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 10:19 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -405605 (base 11) to base 12\nAnswer: -2750b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes after 1:49 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w + 19. Let a be u(-7). Let t(s) = -s**3 + 11*s**2 + 12*s + 17. Let j be t(a). Let y(r) = -r**2 + 30*r - 45. Is y(j) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1692)\/(-44838) - 312\/(-159).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*x - 12063 - 64977. Is x a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65672 bigger than 65597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - 5*u + 1179, -7*u + 890 = 3*o - 9*u. Does 37 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4769 * -60.\nAnswer: 28.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the third derivative of 1\/24*o**4 + 0*o**3 - 1\/40*o**6 + 0*o**5 + 0 + 34*o**2 + 0*o. Determine c(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -45977, -91001, -136025, -181049?\n\"Answer: -45024*d - 953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7336 - 51353\/7. Is b at least 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xbccqcxcccccmcqcocq. Give prob of picking 2 q.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -625 - -624. Let m = -7 - -2. Sort 0.01, m, v in decreasing order.\nAnswer: 0.01, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**2 - 16*p - 74. Determine d(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in fourty-three sixths of a week?\nAnswer: 1204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2250 and 2114172.\nAnswer: 2116422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 11:29 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + (3 - 4) + 4 + (-2 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5769862 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 864.553 rounded to the nearest 10?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1086\/(-17) - 6\/51. Let v = m - -205. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 5*u**2 - 57*u - 32. Let d be o(12). Which is the nearest to -0.09?  (a) d  (b) -1.7  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -49*s**4 - 542633*s**3 + 1007865*s**2 - 564867*s + 99684 = 0. Calculate s.\nAnswer: -11076, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of 11*w**6\/30 - w**5\/20 + w**4\/4 - 75*w**2. What is the third derivative of l(b) wrt b?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -82 divided by -41.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1408 and 459701.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -317679 and 53.\nAnswer: -16836987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6772662.0000026 - -6772654. Let l = c - -8. What is l rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, -1, -8 in ascending order.\nAnswer: -8, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/19, 0.3, 2, -0.6?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20738.\nAnswer: 2, 10369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 208*s + 1034. Calculate c(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 + 5*g**2 - 5*g - 24. Let r be j(-5). Calculate the remainder when 1 - (-155 - (r + -4)) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50003*f + 50006*f + 50003*f - 250021*f + 50006*f + 50007*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3431)\/(-219)*3\/4*188. What is h rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -3*j**3 + 3915*j**2 + 169986*j - 355608 = 0?\nAnswer: -44, 2, 1347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 5:13 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2398 = -r + 2965. Suppose 6*i - 7 - r = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9930303367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 327558*f**6 - 140756*f**2.\nAnswer: 39306960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) 0.7  (b) -2  (c) -1904\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -7*i - 59. Let r be j(-8). Sort -79, r, -4 in descending order.\nAnswer: r, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1803, 3463, 5075, 6633, 8131, 9563, 10923, 12205?\n\"Answer: -m**3 - 18*m**2 + 1721*m + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, f: 1, o: 9, g: 6}. What is prob of picking 1 o and 1 g?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h**5 - 56*h**4 + 264*h**3 - 496*h**2 + 404*h - 120 = 0.\nAnswer: 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -7 - (-12 + 8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.0741?  (a) 3  (b) 2  (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 128, 189, 254, 323?\n\"Answer: 2*i**2 + 55*i + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -5.571  (b) 1\/4  (c) 6  (d) -2\/7  (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 86503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*d + 3*d**2 + 0*d**2 + 2*d**3 - 3*d to t*d + q*d**3 + k*d**2 + y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 2:01 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 3, -1, 1, 1216 in increasing order.\nAnswer: -3, -1, 1, 3, 1216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of -u**6\/120 - u**5\/15 + 5*u**4\/24 + u**3\/6 - 63*u**2. Determine o(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 3*o. Let t(q) = 11*q**3 - 11*q**3 + q**3 + 7*q. What is 5*p(g) - 2*t(g)?\nAnswer: -2*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 59bb - 22?\nAnswer: 5999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 84 + -74. Suppose 9*x + 58 = c*x. What is the lowest common multiple of x and 8?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**3 - 10*u**2 - 8*u + 10. Let y be m(-9). Suppose 4*t - 3 = y. Suppose s = -t + 2. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 0.01, 1\/7, -0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**4 - 10744*g**3 - 7236052*g**2 - 28815408*g - 28772496.\nAnswer: -4*(g + 2)**2*(g + 1341)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(15)\/sqrt(3)*3 + -5 + -2*sqrt(605).\nAnswer: -19*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 84081002, 84081004, 84081006, 84081008, 84081010, 84081012?\n\"Answer: 2*d + 84081000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes after 9:18 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -236598152 - 5.\nAnswer: -236598157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**37)**(16\/3)*z**(4\/21)*z\/z**(10\/11))**24 assuming z is positive.\nAnswer: z**(-354296\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8479 + 11971. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -6*k. Suppose -3*y = -k*y. Let z = -1329\/104 + 158\/13. Is y bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -1\/5, 0.9, -1, 133, 889 in decreasing order.\nAnswer: 889, 133, 0.9, -1\/5, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q - 6 = -12*q. Factor 5*x + 7*x - q*x**2 - x - x.\nAnswer: -2*x*(x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72 + 90 - 138 + 3*s.\nAnswer: 3*s + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 35*l**2. Let c(d) = -5*d. Let g(n) = 2*n. Let y(w) = 4*c(w) + 11*g(w). Determine y(h(a)).\nAnswer: 70*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 25 or 22?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3548 is divided by 660.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -7 + (9 - 17) + 37. Solve 5*w = l + 19 + 2, -a = -2*w - 3*l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b + 3*b - 4*b - 21*b + 5*b + 10*b + (7 - 3 - 2)*(0 - 2*b + 0))*(-3*b + 2*b + 2*b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 - (-13)\/(-5))\/((-3)\/15). Let d be (-2)\/(-3) - m\/6. Let y(w) = 2*w**3 + w**2. Let f be y(d). What is the smallest value in 1\/2, 2, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23313.\nAnswer: 3, 19, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -11*s + 3. Let x(c) = c**2 + 12*c + 35. Let g be x(-8). Let h(n) = -56*n + 16. What is g*h(u) - 16*p(u)?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 5*r + 68. Do -63\/8 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 191*t**2. Let b(w) be the third derivative of -w**5\/60 - 54*w**2 - 20*w + 1. Calculate a(b(p)).\nAnswer: 191*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 3*l + 103, 2*p + 2*l - 109 = 33. Put 29, p, 3 in descending order.\nAnswer: p, 29, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 42*g**3 + g**2 - 2*g + 1. Suppose d - 3*r = -0*r + 20, 3*r = 2*d - 31. What is the remainder when f(1) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzhozhhhhhhhhz. Give prob of sequence zh.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23 + -27. Let r = -0.7 - 3.3. Let n = r + 2. Sort 2\/7, p, n.\nAnswer: p, n, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*z - 57 + z**3 + 60 + 3*z**3 to y*z**2 + v*z + s + r*z**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/24 and -31\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of -y**3\/3 + 4*y**2 + 29*y + 5. What is q(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**31)**40)**(-40) assuming y is positive.\nAnswer: y**(-49600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {y: 2, r: 2, o: 2, t: 5, a: 7}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 - 413*d + 10087. Determine q(26).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-6*65\/234)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 PM and 7:58 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 15 = -9*j. Suppose -j = -k - 2. Let l be 0 - -2*k - -1. Solve -5*q = -12 - l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 7328.132s?\nAnswer: 7328132000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 8*p - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -305 - -284. Sort d, -1\/4, 3\/2.\nAnswer: d, -1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 415 - 354. Let h = a + -669\/11. Determine x so that 0 + 2\/11*x**2 - h*x**3 + 0*x = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6296*-8.\nAnswer: 50368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of q**6\/60 + q**5\/20 - 5*q**4\/12 - q**3 - 27*q**2 - 7. Let h(i) = -2*i**3 - 4*i**2 + 11*i + 7. Calculate 4*b(t) + 3*h(t).\nAnswer: 2*t**3 - 7*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1124 - -3?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 10687372?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 + 32322*r - 32337*r + 30 - 50.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zg when two letters picked without replacement from {f: 2, g: 4, z: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -721774949, -721774948, -721774947, -721774946?\n\"Answer: s - 721774950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -305*v = -264*v + 41. What is the nearest to -5 in -5, v, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -370*v**2 - 2*v + 348 wrt v.\nAnswer: -740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(((sqrt(70)*-1 - sqrt(70))*1)\/sqrt(10) + 1 - (-1 + sqrt(847) - ((2*sqrt(49))\/sqrt(7))**2)*5)*2.\nAnswer: -584 + 228*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 3*h - 36. Give s(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/((g*g**(2\/7))\/g))\/g)**(-6)\/(g**(4\/5)*g\/(g**3\/g)) assuming g is positive.\nAnswer: g**(-143\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 6 = -4*y + 12, -11 = -q - 3*y. Suppose -2*a + 40 + 11 = -q*s, a = 5*s + 53. Let v = s + 12. What is the smallest common multiple of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -4*v + 82, -7*d = 4*v - 8*d - 74. Let k = -1 - -1. Solve -3*w + 4*m + v = 0, k = -3*w - m - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3)*1*-6*-1)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 252 = -40. Suppose -w*x + 168 = -57*x. Let i be 28\/x + 2\/((-6)\/(-11)). Solve -4 = i*n + 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 - 11) + (-10)\/(-4)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -4*p**2 - 35*p - 18. Let x be b(-8). Suppose -16*a + x = -14*a. Solve a*i - 3*s = 12, 4*i - 5*s + 2*s - 13 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-205)\/25 - -7)\/((-2)\/(-10)). Let s(d) = d + 2. Let o(w) = 5*w**2 + 36*w + 57. Let p(a) = h*s(a) + o(a). Let p(b) = 0. Calculate b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6063127231.\nAnswer: 7, 17, 53, 193, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 593079*p + 594349*p + 0 + 2*p**2.\nAnswer: 2*p**2 + 1270*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**2 + 3*d**2 - 5*d**2 - d**2 + 3 - 3 - 3*d**2 - 3*d**2 + 5*d**2 + (-4 - 2 + 1)*(0 + 2*d**2 + 0) + (-1 + 0 - 3)*(d - d + d**2).\nAnswer: -17*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 AM and 11:07 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3*(-2)\/(-5)*-5. Let p be (6 + -14)*(-1)\/4. Find the third derivative of 23*j**p - k*j**3 + 4*j**2 - j**3 + 7*j**2 wrt j.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 51*c**2 - 9*c - 18. Let m be x(-4). Calculate the common denominator of (-1342)\/360 + (-2)\/9 and m\/9*2\/(-8).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 26\/473919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -104 - 77\/6776*-9176.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 3:43 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 + 13. Let w be (-4 + 2)*(-8)\/(-64). Which is the closest to w?  (a) 0.05  (b) x  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77492 = -147*i + 143*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -483 + 19*n**2 - 474 - 763 + 1733.\nAnswer: 19*n**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 - o. Let u(a) = -a**2 - 6*a + 2. Let w = 12 + -8. Let j(d) = w*k(d) - u(d). Let q(h) = 5*h**2 - 3*h + 3. Give 7*j(s) + 4*q(s).\nAnswer: -s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, j: 2, p: 1, h: 1, c: 3, z: 5}. What is prob of sequence jp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -28264 * -37.\nAnswer: 1045768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10 + 7. Which is the closest to 2\/9?  (a) q  (b) 5\/6  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50 (base 9) to base 11.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of 7*a**5\/390 - 29*a**4\/78 + 16*a**3\/39 - 33*a**2 + 1. Factor y(j).\nAnswer: 2*(j - 8)*(7*j - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 7*i + 32*i**2 + 6*i**2 + 17*i**2 + 16 - 25*i**2. Is r(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -n. Let q be (-12)\/10*65\/(-39). Let t = -484 - -480. Sort t, n, -5, q.\nAnswer: -5, t, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -1. Let c(g) = 3*g - 3. Let b(q) = -c(q) + 4*x(q). What is the units digit of b(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(52)\/(sqrt(32)\/(sqrt(32)\/sqrt(4))) + (sqrt(91)\/(sqrt(7) - 2*sqrt(7)) - (0 + sqrt(13))*-3))*5 + 0)*5.\nAnswer: 5 + 75*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8\/117 and 23\/27?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72543 = 81602*v - 81596*v + 17805. List the prime factors of v.\nAnswer: 3, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-2)*(-2 - 0). Suppose 3*q + 5*k = 28, -3*k + 13 = -f*q - 0. Let r(x) = 11*x - 8. Let z be r(1). Solve 5 = z*s - q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 351686\/5 or 70338?\nAnswer: 70338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*m - 3*m - 56 = 0. What is the remainder when 29 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*r - 9*r**3 + 6*r**2 + 5*r - 4*r**2 - 4*r**2 to m*r**3 + n + d*r + q*r**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-62 + 8*d + 62)*((-1 + 0 - 5)*(-3 - 1 + 9) + (5 + 0 - 4)*(-2 + 5 - 4))*(3 - 3 + 3*d).\nAnswer: -744*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 20*h + 624. Suppose 1009*s + 651 = 501*s + 487*s. What is c(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-128)\/(-462) - (-170)\/(-935)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-172)\/42 + 12\/3. Let v(q) = -2*q - 17. Let n be v(-7). Sort n, 0.2, c, 2\/3 in descending order.\nAnswer: 2\/3, 0.2, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 62\/(-31) + -3 + 0 + 4 + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/60*30\/18.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(504)*-6)\/((sqrt(24) + sqrt(48)\/sqrt(2))\/sqrt(3)).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5588 and 11352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the second derivative of -13*m + 11*m**2 + 1\/12*m**4 + m**3 + 0. Let t be j(-3). Calculate the greatest common divisor of 39 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 331294 to the power of 1\/2, to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - -13. Suppose 3*z + z - b = 0. What is the remainder when 12 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of f**4\/4 + 2*f**2 + f - 3. Let j(o) be the first derivative of x(o). Differentiate j(w) wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, 1, -23 in decreasing order.\nAnswer: 1, -4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.62 times -3282.7?\nAnswer: -2035.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -175 + 310. Is g a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**2 - y - 7. Let v be x(-3). Suppose -14 = 11*q - 124. Suppose q*k - v*k - 35 = 0. Solve 0 = -5*a - k + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*j + 15, -2491*m + 2492*m + 11 = -3*j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2a5 (base 12) to base 9.\nAnswer: -508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 20 = -j + r, -r = 4. Suppose 9652 = -687*v + 1195*v. Does v = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 312 and 36894?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/35609248 and -39\/4451156.\nAnswer: 35609248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 + 28*s**2 - 69*s - 70. What is the units digit of d(-29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 + 6*j**2 + 3*j - 15. Let f be x(6). Let h(o) = -1296*o - 22. Let n be h(f). Round n to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 AM and 11:19 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c + 2*c - 2*c)*((28*c**2 + 13*c**2 - 2*c**2)*(3*c - 3*c + 5*c) + 2*c**3 - 2*c**3 - 2*c**3).\nAnswer: 386*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 divided by 6115.\nAnswer: 17\/6115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -5*l**3\/2 + 757945*l**2\/2 - 403673295*l\/2 + 53842799475\/2 = 0.\nAnswer: 267, 151055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 29*z**2 + 1861*z - 19099. Calculate i(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 222 - 32?\nAnswer: 1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1895\/9 - -211. Let n be 1\/5*4\/2. Sort n, 1, f.\nAnswer: n, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7.096 - -7. Let p = 291.904 - a. Let j = p - 291.771. Round j to 2 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in p**3 + 98*p**2 - 446*p**2 + 1 - 610*p**2 - 83*p**2.\nAnswer: p**3 - 1041*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 6576 = -4*n, 3*m = -5*n + 7*n + 19812. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the third derivative of -53*j**4\/24 + 25*j**3\/6 + 33*j**2. Is q(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*(-48)\/(-45)*(-8)\/32?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 - 2*q - 3. Let h be c(3). Let s(z) = h*z - z - 2 + z - z. Let o be s(-6). Solve -3*f - 2*j = 0, o*f + 8 = 2*j - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 - -9. Let g(n) = -4 + n**2 - n - 6*n + 3*n + 3*n. Let k be g(-2). Solve j = l*t + 13, 0 = 4*t - k*j + 20 - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17922 + -17921. Let b(l) = -4*l + 16. Let f(x) = x - 1. What is o*b(z) + 3*f(z)?\nAnswer: -z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4121147  (b) -2\/7  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 4*n + 8. Let f be j(-2). Suppose 14*u - 29*u + 2640 = f. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24 - 1 + 5 - 2*p.\nAnswer: -2*p + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1))**(-10)\/(r*r**(2\/3))**(-6\/17) assuming r is positive.\nAnswer: r**(180\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes before 4:47 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/47, 403, 23\/10?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 11:14 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2291 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1352*z**2 - 6112*z + 64503142 wrt z?\nAnswer: -2704*z - 6112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2301 from 2.\nAnswer: -2299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3311 - -1231?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 44 = 5*b. What is the smallest common multiple of (-2 - -1) + 7 - 0 and b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 5*h**2 - 3*h - 11. Calculate v(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -53, 3142, 6337, 9532, 12727?\n\"Answer: 3195*n - 3248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8734619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 72997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-7)*(-13)\/494*-19\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + v + v**2)*(0 - 2 - v + 4).\nAnswer: -v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**2 - 6*h + 4. Let d be -2 + 5 + -5 + 2. Let s be w(d). Let o(u) = u**3 - 2*u**2 - 4*u - 2. What is o(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -3*q - 0*q + 10, 0 = -4*q - m + 21. Suppose 6 = 3*s - 4*s - 2*p, 0 = -3*s - q*p - 14. Solve t + s = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + -5 - (-9 - -17 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 920.3 * 3.5.\nAnswer: 3221.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -32.7 - -32. Let y = 0.68 + g. Sort 5, y, 0.3 in decreasing order.\nAnswer: 5, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 239 + 2056*m - 2092*m - 242.\nAnswer: -36*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1075804297 + 1075804297 - 9*m**2 - 2*m + 2*m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 + 13*w**2 + 85*w + 17. Determine l(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -183 + 65. Let f = -117.999609 - v. What is f rounded to five decimal places?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 - -8. Which is the closest to 0?  (a) f  (b) 0.4  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 10*b. Suppose r = -4 + 6. Let o(w) = 10*w**r - 4*w**2 - 7*w**2. Determine o(n(t)).\nAnswer: -100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**2 + n - 1. Let k(w) = 9*w**2 - 3*w + 3. Let u(s) = -k(s) - 3*y(s). Let m(r) = -2*r. What is u(m(o))?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*w - 2*w - 322 = -w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5\/3 - 7\/6. Let y = 26.8 - 27. What is the nearest to q in 3, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by -1446774.\nAnswer: -4\/723387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the second derivative of 1\/6*u**3 + u**2 - 2*u + 0 - 1\/4*u**4. Factor c(m).\nAnswer: -(m - 1)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -33 + 129. Let u = 272 + i. Let y = u + -203. Calculate the greatest common divisor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14079150 and 1026.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 173, 176, 181, 188, 197?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 - 5*k**2 + 7. Let h be y(-5). Let i = h + -4. Solve 0 = -c + f - 7, 2*f - 11 = -i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 52 = 3*w, -10 = 5*r - 3*r. Let k be w\/45 - 2\/(10\/1). Solve 4*l + 20 = -k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -3. Suppose g + r - 17 = u, -g - 7 = -2*r - 24. Let t = 1 + 5. What is the remainder when g is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7.2 - 3.4. Let p = -0.8 + m. Put 1\/2, 4\/5, p in ascending order.\nAnswer: 1\/2, 4\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 764473573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*n**2 - 17*n**2 - 6*n**3)*(6 - 4 - 4)*(3022*n + 75 - 282 - 3017*n).\nAnswer: 60*n**4 - 2484*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 r, and 1 q when three letters picked without replacement from {s: 2, p: 3, q: 1, w: 2, m: 4, r: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-51)\/6 + 21\/42 - (129 - 99).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -3*u + u + 3*u + 4 + 3 - 2*u**2. Let s(w) = 2*w**2 - w - 8. Determine 6*r(l) + 5*s(l).\nAnswer: -2*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t + 5. Let d be a(-3). Let w(g) = -d + g**2 + 2*g**2 + 2. Let x(r) = -2*r**2 - r**2 + 2*r**2. Calculate x(w(p)).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 + 4*c**2 - 12*c - 6. Determine o(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (111\/((-108225)\/273))\/(2\/30)\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16 (base 15) to base 7.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(5) + 1)*-5.\nAnswer: -5*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 2*r**3\/3 + 136*r**2\/3 + 248*r = 0?\nAnswer: -62, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12*(-13)\/((-130)\/495)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 568 + 1509. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*g = 2953 - 901. Let h = 76 - 48. Calculate the remainder when g is divided by h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2))**(21\/4)\/(b**(-1)\/b)**37)\/(b\/(b\/(b*b**(-4\/3)))*b*b**(2\/41))**(-2\/69) assuming b is positive.\nAnswer: b**(1078201\/16974)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s**5\/9 + 20*s**4\/9 + 32*s**3\/9 - 4*s**2\/9 - 34*s\/9 - 16\/9 = 0. What is s?\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of -v**3\/2 - 17*v**2 + v - 100. Let g be y(-13). Solve 4*i = -3*z - 14, -19 + 4 = g*z + 5*i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14*c*i**2*t**3 - 8145*c*t**3 - 207664*c*t - i**2*t - 4*t**3 - 4*t**2 wrt t?\nAnswer: 84*c*i**2 - 48870*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 - 54 - (-8 + 3 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 3*r**2 - 3*r - 52. Let f be d(6). Suppose 3*x - 2*q - 20 - 30 = 0, q = -3*x + f. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 3 p when four letters picked without replacement from {p: 3, q: 1, g: 2, r: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1586286 + 1562.\nAnswer: -1584724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 + 8*n - 13. Let w = -16 + 7. Let i be f(w). Is i less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 + 7*k**2 + 13*k + 46. What is b(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5\/((-10)\/(-4)) - -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09 + -24642.2?\nAnswer: -24642.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 8 = -i. Let o = -147 + 150. Let q = i - o. Which is smaller: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -66 + 64. Is (i\/(-10))\/((-31)\/(-133145)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21502101 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 498643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1584 - 58*v**2 + 52*v**2 - 132*v**2 - 5712.\nAnswer: -138*v**2 - 7296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00038825 to five decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum 783.8 and -4.\nAnswer: 779.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and 3.92?\nAnswer: -3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 + 5*n**2 - n. Let i(b) = -2*b + 1. Let g be i(-2). Suppose 0*x - x - g = 0. List the prime factors of u(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95556082289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 33*l**2 + 1. Let c(g) = -33*g. Calculate t(c(s)).\nAnswer: 35937*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/7  (b) -5  (c) -3.1  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/((-15)\/21 + 1). Let a(j) = 4*j + 26. Let c be a(-6). Suppose -r*b + c = 2. Solve b = -3*p - p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sccccccc. What is prob of sequence ccc?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 6*j = 2*b + 52, 4*j = -314241*b + 314239*b - 68 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -178119 + -8995.19732.\nAnswer: -187114.19732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (5 + -6)\/((-2)\/14). Let r be q*(0 + (-18)\/21). Let d(v) = -v**2 - 6*v + 10. What is the least common multiple of d(r) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p**4 + 4*p**5 + 2*p**4 + (3*p**2 + 6*p**2 - 3*p**2)*(-4 + 4 - p**3).\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -3*(4 + 3*(sqrt(832) + 0 + sqrt(832) + sqrt(832)) + ((sqrt(832) + 0)*6 - 1*-1*sqrt(832)))*5)**2.\nAnswer: 218880*sqrt(13) + 47926449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 5*v**2 + 25*v - 27. Give z(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - n + 4709 + 33, -4*u = -3*n + 18971. Which is smaller: 0.4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + -16437?\nAnswer: -16434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 15. Let i = 581975.94 - 581968.9399981. Let m = i - w. What is m rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 - -14. Suppose -2*h = -2*t - 10, -4*t - m = -5*h + 3. Solve -9 = 4*z - 2*c + 7, 0 = z - c + h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l - 5. Let c be q(-5). Let t = 20 + c. Calculate the lowest common multiple of 22 and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -730\/7  (b) 20.422  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-72)\/(-21))\/(127\/(-889)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n + 23*n - 14*n)*(1 - n - 1)*(2 - 1 - 3)*(3 + 2*n - 3).\nAnswer: 48*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20832 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*1\/7 + 48\/(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - -5 - (-10 + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -41121?\nAnswer: -4\/41121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4532 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 + 8. Let c be (1 + -1)\/(-3*l\/6). What is the closest to 7 in 2, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 - 1. Let m(k) = -3*k - 20. Let q be m(-8). Suppose 5 = q*w + 1. Calculate b(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6\/45737 - 6816037\/9330348. Calculate the common denominator of p and -3\/32.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1899 is divided by 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 19 and -4.19?\nAnswer: 23.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 38 + -22. Solve 2*d + 2*d - t = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21 or -666?\nAnswer: -666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1474932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -274, -173, 104, 647, 1546, 2891?\nAnswer: 4772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*c - 17*c = 210. What is the remainder when c is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**3 - 7969*u**2 + 10621*u - 2655.\nAnswer: (u - 2655)*(u - 1)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a + 3. Let f(d) = -d**2 - 10*d - 5. Suppose 4*j = 3*k + 11, -2*k + 4*j - 1 = 1. Let o be f(k). Calculate g(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 16812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-76)\/95*(23 + -3))\/(-9*2)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1421810090 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: What is -5 - 1 - (5 + 2 + -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 12 + -13 + -6 - ((-18 - 0) + 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 8  (b) -2  (c) -4\/3  (d) -307\/94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.05  (b) -0.4  (c) 0.21  (d) -1\/2  (e) -2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the third derivative of -f**5\/10 + f**2 + 1249*f. Let g be (-6)\/9 - 8\/(-3). Let n(k) = -k**2 - k**2 + 0*k**g. What is n(l(a))?\nAnswer: -72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 38\/1552779 and 16\/1897841?\nAnswer: 17080569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 635911.\nAnswer: 19, 33469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 134*z + 2. Let x(l) = -l. Calculate x(h(q)).\nAnswer: -134*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6878192*u**3 + 7011529*u**2?\nAnswer: 41269152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1328.14 - 1612.\nAnswer: -283.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 24 = -4*y, -3*y + 16 = -2*k - 0*k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*a = -16*a + p + 55, -45 = -2*a - p. What is the remainder when 30 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, x: 2, u: 11, t: 3}. Give prob of sequence txa.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 505989756 to the nearest integer?\nAnswer: 22494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -209*o + 31*o + 191*o - 363*o - 557*o as l*o + a and give l.\nAnswer: -907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4318671 and 4935624.\nAnswer: 34549368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/8 and 20\/34863?\nAnswer: 278904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*1*((sqrt(1539)*-1 + 2 - sqrt(1539))**2 + 1)*5*2.\nAnswer: -720*sqrt(19) + 61610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4541 is divided by 1480?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/9897615 and -71\/4241835.\nAnswer: 29692845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -3*x**3 - 3*x**2 - x + x + 4*x + 2*x**2 - 1. Let j be i(-3). Suppose 3*f - j = 4*d, 0 = 5*f + 5*d - 27 - 83. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-16))\/((12648\/68)\/(-10416))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + 7*k - 5 = 8*k, -4*k = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 62 = 28. Let s be (2\/3)\/(6\/u). Let t = s + 7. Calculate the highest common divisor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001563 rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 2*w = 12. Let s be (-4)\/w + (-88)\/(-12). Solve 2*q + 5*b + 1 = -5, -b = 5*q - s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of 268*m**7\/3 + 2723*m**3\/3 - 2*m + 3226. Find the second derivative of p(t) wrt t.\nAnswer: 75040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 243\/(-6) + 1\/2. Let p = -38 - l. Suppose p*h + 2*m = 3*h, -5*h = m - 22. Solve 7 = -h*x - 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.1 and -7507.95.\nAnswer: -7507.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5986 + 54027. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -11*j**2 - 4*j - 5. Let i = -5465 - -5470. Let b(w) = -6*w**2 - 2*w - 2. Determine i*b(c) - 2*y(c).\nAnswer: -8*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 + 17*r**2 + 16*r + 31. Let a be g(18). Sort 0, a, 5, 45.\nAnswer: a, 0, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3428560771 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1)\/2)\/((-1)\/20). What is the derivative of 10*z**2 - 2*z**4 - 8*z**4 + 10 - a*z**2 wrt z?\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-54)*3*3060\/255?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*o - 346 = 1504 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(2205)*6)\/(sqrt(81)*-3 + sqrt(9) - (-2*sqrt(72))\/sqrt(8)).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -53*s - 3. Let k(h) = 54*h + 2. Suppose -6*b + 0 = -12. Let j(r) = b*t(r) + 3*k(r). Let c(v) = -v**2. Determine c(j(d)).\nAnswer: -3136*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 22150774\/7 or 3164397?\nAnswer: 3164397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 3*v = -3, 41*o - 15*v + 11*v - 4 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -16.4430973 to one dp.\nAnswer: -16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1033 (base 5) in base 15?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 152 or 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 934343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-20 - -18)\/(-1 + (-30)\/(-33)) and 1700.\nAnswer: 18700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express w**2 + 4*w**4 - 5*w**4 + 2268*w - 2345*w + w**3 - 3*w**3 in the form y*w**3 + g*w + q*w**2 + m*w**4 + o and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4861231\/11 or -441929?\nAnswer: -4861231\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/((a\/(a*a**(3\/5)*a*a)*a)\/a))\/(a*a**(-1\/13)))**2 assuming a is positive.\nAnswer: a**(348\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 - 5*s - 4. Let t be i(-4). Let p = 1 + t. Suppose -6 = 153*z - 156*z. Solve -z*n + n - p = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 155401 (base 6) to base 11\nAnswer: 106a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4, 113, 320, 613, 980, 1409?\n\"Answer: -2*h**3 + 61*h**2 - 60*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 34359 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -162*p**2 + 17354 - 17354 + 95*p**2.\nAnswer: -67*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 761.94*0.06\nAnswer: 45.7164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110 (base 2) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1b61 + -1?\nAnswer: -1b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 25*l**2 + 4833 - 4833. Let a(p) be the first derivative of -p**2 - 2. Determine a(h(b)).\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 10*u - 79. Determine l(13).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 525 + -178. Let l = 531 + g. What are the prime factors of l?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13930 by 23.\nAnswer: -13930\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 245, 1933, 6507, 15407, 30073, 51945, 82463?\nAnswer: 123067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t + 2. Let y(v) = v - 1. Suppose -1 - 3 = -2*q. Let m(d) = q*y(d) + p(d). Give m(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((sqrt(567)*-1*6 + 5 + sqrt(567) + 1 + sqrt(567))*2 - ((1 + sqrt(567))*-4 - (sqrt(567) - ((sqrt(567) - (sqrt(567) + 2*sqrt(567))) + -5)))))**2.\nAnswer: -13608*sqrt(7) + 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 9 - (-10 - (-17 + 8))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*d**3*g**3 + 58*d**3 - 4*d**2*g**3 + 382*g**3 wrt d?\nAnswer: -18*g**3 + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-63)\/27 - (2 - 4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -11*j**2. Let l(c) = 517*c**2 - 11*c - 1. Let v(d) = -103*d**2 + 2*d. Let b(w) = 2*l(w) + 11*v(w). Calculate p(b(s)).\nAnswer: -107811*s**4 - 4356*s**2 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0  (b) 2\/5  (c) -4  (d) 4\/5  (e) -0.2  (f) -8357\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 3, g: 1, b: 1, f: 3, r: 2}. What is prob of picking 1 f, 1 b, 1 r, and 1 i?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15 + 16. Let l = 12 + y. Solve l = -5*r - 12, 2*t = 3*r + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -3033738\/245 = -12384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (8\/(-48))\/((-2)\/36). Let x(p) = -p**3 - 4*p**2 + 5*p + 3. Let w be x(-5). Solve -12*n**2 + 5*n**3 - d*n**4 - n**4 + 4*n + n**3 + 6*n**w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/85, -3\/4, 0.1, 7\/5, 0.2?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 11.9  (b) 2\/19  (c) 0  (d) 1  (e) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -1, 1, 0.9, -6\/289, -35 in increasing order.\nAnswer: -35, -9, -1, -6\/289, 0.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-1 + 12\/8). Let f(r) = 3*r + 2. Let b(z) = z + 1. Let u(m) = q*b(m) + 2*f(m). Let x be u(4). Calculate the highest common divisor of 24 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of -28*u**5 + 217*u**4\/24 - 368*u**2 - u. Find the second derivative of q(b) wrt b.\nAnswer: -3360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/51597707 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 46.7 + -2.7. Let w = 44.44 - s. Let k = w - -0.06. Which is the fourth smallest value?  (a) k  (b) -0.4  (c) 5  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -2*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.3 - -6.7. Let j = h - 7. What is the second smallest value in 1, 1\/2, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 2  (b) 3  (c) -2\/9  (d) 70\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 5 = h. Let u be -3 + (1 - h) + 6. Let t be 11\/u - (4 + -1). What is the biggest value in 5, 0.5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of f**6\/90 + f**5\/60 + f**4\/3 + f**2. Let r(v) be the second derivative of d(v). What is the derivative of r(y) wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of 41*c**5\/120 - 23*c**4\/12 - c**3\/3 - 8*c**2. Let a(d) be the first derivative of g(d). Differentiate a(q) wrt q.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times -178\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 6*n**2 + n + 2. Let v(f) = 5*f + 57. Let u be v(-11). Suppose 2*i = -3*p + 5*i - 9, u*i - 10 = 4*p. Let o(x) = -x**2 - 1. Calculate p*o(h) - a(h).\nAnswer: -4*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 335*q + 122*q - 85*q.\nAnswer: 372*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12084.5 + 12087. Which is the closest to -2?  (a) 1  (b) h  (c) -0.47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 37 = -63. Calculate the remainder when 58 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 5*v - 889 = -904, 0 = 3*v - 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = 56*c - 51*c, -4*f - c + c + 5*c = 3*c + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 164, 223, 412, 803, 1468?\nAnswer: 2479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 253 a factor of 68816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 11*u - 2. Let h(a) = 7*a**2 + 1. Let t be h(-1). What is the tens digit of d(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**3\/2 + 8*o**2 - 30*o = 0. What is o?\nAnswer: 0, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -6148?\nAnswer: 1\/3074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 476 - 476 + 73*n.\nAnswer: 73*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25 + 30 + 0*b - 2*b)*(6 + 34 + 18) + 0 + b + 0 + (4*b - b - 4*b)*(1 - 4 + 1).\nAnswer: -113*b + 290","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 18 - 13*y + 11*y.\nAnswer: -2*y + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, l: 1, k: 1, n: 1, r: 1, j: 1}. What is prob of picking 1 n and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 3*t. Suppose -5*l + 37 = 4*b - 103, 0 = -4*b - 2*l + 152. Suppose 4*s - 20 = 2*h, -h + b = 5*s + 4*h. Let g(k) = 3*k - s*k + k. Determine g(q(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 154*t - 130*t - 360 = 0 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from woawgoiowaw?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1186273137 to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27529683 is divided by 4390?\nAnswer: 4383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1946021*l**4 - 47309*l + 5?\nAnswer: 23352252*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the second derivative of 0 - 9*h**2 + 1\/20*h**5 - h**3 - 7*h + 1\/8*h**4. Let j(l) be the first derivative of m(l). Let j(k) = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 897*w + 5260. Give s(-6).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (5 - 5) - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 6*b. Let g(m) = 12*m + 1. Give 2*g(l) - 5*s(l).\nAnswer: -6*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.178 + 0.178. Let j = 3 - 2.9. Which is the nearest to v?  (a) j  (b) 2  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76207.39 litres in millilitres?\nAnswer: 76207390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**3 - 189066*a**2 - 4536288*a - 27215136.\nAnswer: -3*(a + 12)**2*(a + 62998)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from sbrrbbebrrsrsre.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 5*o**2\/2 + 20660*o + 42683560 = 0.\nAnswer: -4132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -2*r + 52. Let w(g) = -3*g + 74. Let a(h) = 5*w(h) - 7*x(h). Suppose -3*s = -z, -5*z - 2*s = -8 - 9. Is a(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - 2*s - 1779 + 9051, 2*m - 2*s - 14544 = 0. Is m a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 1\/315, -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 4*w - 16 = 0, 3*p - 5*w - 3 = 58. Suppose -m + r = -4*m + 136, 3*m - 148 = 5*r. What is the remainder when m is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the first derivative of -s**3\/3 + s**2\/2 + 12*s - 16. Let t be k(-3). Find m, given that -1\/4*m**5 + 0 + 1\/2*m**3 + t*m - 1\/4*m**4 + 0*m**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 + -1 + 25 + -33 - (2 - -2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3475\/834*(-6)\/15*(28 + 11)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from mtmtmxfxffmtmtmmfx.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/2)\/(27\/(-945)*7).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 6, -5, -2, 5.\nAnswer: -5, -2, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do 78026310\/7 and 11146616 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5)\/5*(-3 - -3). Is u less than or equal to -20\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.12399 to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1168)\/706932*135\/30?\nAnswer: -2\/269","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 5*a + 13, 7*a = w + 4*a - 7. Solve -4*b = -3*b - w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25409 is divided by 231?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2819 times 1262.5\nAnswer: -3558987.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v + 5*v - 3*v)*(1 - 3 + 1).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - a - 99 = 0, 2*a + 30 - 2 = y. Suppose 0 = -5*b + 2*q + y, b + 4 = -4*q + 2. Calculate the lowest common multiple of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -81406392576 - -81406392929.00001651. Let r = -353 + m. Round r to 6 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 916302?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -172\/15*b - 178\/5 + 2\/15*b**2.\nAnswer: 2*(b - 89)*(b + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cfffcf. What is prob of picking 2 f and 1 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2 + 0 = 3*o, 5*q = -o + 18. Which is the closest to 2\/5?  (a) -1\/4  (b) 0.4  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 306 and 30.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 4 - (4 - (3 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of 0*k + k**2 - 5 - 1\/3*k**3 - 1\/3*k**4 - 1\/6*k**5 - 1\/30*k**6. Let p(q) be the second derivative of b(q). Factor p(t).\nAnswer: -2*(t + 1)**2*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -151 - -190. Calculate the remainder when 152 is divided by v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7.12 + 6.72. Which is bigger: f or -24?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-35)\/(8 - 3) - 110\/(-14). Suppose -22\/7*k - m*k**2 - 16\/7 = 0. What is k?\nAnswer: -8\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pppq when four letters picked without replacement from {p: 7, q: 6}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - 20*i**2 - 19*i + 45. Let m be s(21). Suppose -277 = -5*u - x, -3*u = 2*x - 75 - m. Calculate the remainder when u is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4740 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 330477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.94996 - -0.05004. What is the nearest to 4\/7 in 9, p, -0.07, 0.01?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(13) + -1)*-4 - (sqrt(13) + sqrt(13) + -1)*6 - 6*(-4*sqrt(65)\/sqrt(5) - sqrt(13)))**2.\nAnswer: 280*sqrt(13) + 2648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-156)\/(-399) - 4\/14. What is the closest to -0.1 in -2\/17, b, -2\/11?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 362229 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -29*d - 224. Let r be y(-8). What is the greatest common factor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -222998 or -224156?\nAnswer: -224156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2446 = 48*t + 34*t - 23*t + 445 for t.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 26706\/13 or 2055?\nAnswer: 2055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, z: 3}. Give prob of sequence lzz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -74*p + 95. Let u(a) = 39*a - 42. What is 9*u(f) + 4*x(f)?\nAnswer: 55*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 43 = -23. Let g = a + 38. Let -242*m + g*m**2 + 3 - 3 + 262*m = 0. What is m?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -0.46941?\nAnswer: 1.40823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 26 and 78776284.\nAnswer: 1024091692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*a - 280 = -13*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 246218356 and 436?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -7*q + 2 + 2*q - q**2 - 5*q - 12. Give d(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -23*h. Suppose -3*m - 43 = 11. Let r be 2 - 1 - m\/(-3). Is d(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -335*m**2 - 357*m**2 + 2*m + 7 + 852*m**2.\nAnswer: 160*m**2 + 2*m + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*-3*-6*(sqrt(11) + -1 + -1 + sqrt(66)\/(sqrt(30)\/sqrt(5)) - 2*(sqrt(396) + 4)).\nAnswer: 900 + 900*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-18) - 806\/117)*12\/16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 88349.\nAnswer: 17, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0092431804 to six dps.\nAnswer: 0.009243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (138*f + 20*f - 35*f + 307*f)*(-2 - 3 + 2)*(-1 - 3 + 2) in the form d*f + x and give d.\nAnswer: 2580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of n**3\/3 + 3*n**2 - 6*n - 5. Give m(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 626973273 a multiple of 1280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 1. Let k(b) = -b**3 - 7*b**2 + b + 6. Let u(c) = k(c) + 3*z(c). Let d be u(-7). Suppose 0 = -3*l - d*l + 5. Solve 0 = 2*y - l + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 z, and 1 i when three letters picked without replacement from sixza.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2942859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -13*g**2. Let l(f) = -f**2 - 6429*f + 835. Calculate l(u(i)).\nAnswer: -169*i**4 + 83577*i**2 + 835","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -5*x**3 + 108913*x - 108915*x - x**2 + 2*x**3 - 1. Let h(r) = r**3. Let l = 9 - 10. Let z be h(l). Calculate s(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -50285 - -50284.9999862156. Round p to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22686 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5763045?\nAnswer: 3, 5, 384203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -63 - -59. Are f and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 848.8023 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 85508440 to the power of 1\/2, to the nearest integer?\nAnswer: 9247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, 3.\nAnswer: -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3471 - 3459. Calculate the smallest common multiple of 57 and u.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-3\/4)*y*y)**(6\/13))**37 assuming y is positive.\nAnswer: y**(555\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 66 and -1401.44.\nAnswer: -92495.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + 2. Let t = -3 - -2. What is the closest to 1 in t, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38914 is divided by 12971.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5656 + -5687.27. Let o = f - 6.83. Let h = 38 + o. Put h, 1, 0.09 in descending order.\nAnswer: 1, 0.09, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*m**2 - 29 - 12 - 18 + 59.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 340816?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 9637 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 173440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-754)\/(-728) - (-8)\/(-28))\/((-36)\/3600).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 3*n + 42. Let i be q(0). Suppose 5*p - 2*p + i = 0. Is p at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -5*y - 5. Suppose 9*j - 15 = -114. Let m = j - -28. Let k(v) = 14*v + 14. Calculate m*f(i) + 6*k(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 95 + -100. Let a be 2 - -3 - 0\/d. What is the nearest to -1\/4 in 0.2, 0.3, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10121.\nAnswer: 29, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence avaa when four letters picked without replacement from {v: 3, a: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.2 in 4, -5, -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1641 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 13*c + 1. Determine y(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1705649 - 463711 = -368*d. Is d a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -182632*k**3 - 2*k**2 - 49106.\nAnswer: -547896*k**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4856774924 and -5.77?\nAnswer: 4856774929.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*f - 4*l + 26, 2*l - 67 - 1 = 2*f + 7*f - 8*l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-25)\/(175\/(-42))*(-1)\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 8*g + 8 = 0, 2*x - 5*g = 18602. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.01 in 2, 5, 2\/11, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-104)\/32*51520\/(-131560)\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (14 - 6) + (-5 - 5922\/(-3)) + 3. Calculate the greatest common factor of 840 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c = 6, -2*c = 5*k - 4*k - 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 77951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21 - 17. Suppose 4*m + 59 = -0*k + k, -5*m + 131 = r*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-270378)\/459 + (-2)\/(-34). Let s = -586 - q. Put 4, -20, 2, s in increasing order.\nAnswer: -20, 2, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 134*d + 1343. Let g be n(-10). Solve -x + 5 = -3*m, -m + 26 = -g*m - 5*x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1149.5, 2\/9, 0.2?\nAnswer: 1149.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -35 + 50\/3*q - 5\/3*q**2 = 0.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1372*w**2 + 17703*w**2 - 1777*w**2 + 1827*w**2.\nAnswer: 19125*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Put together -310 and 816143184623.\nAnswer: 816143184313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -5*r**3 - 2*r**2 - 2*r - 1. Let a be 10 + -1 + -3 + 2 + -3. Suppose 0*t - 10 = -a*n - 5*t, -3*n + 5*t - 18 = 0. Give h(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the first derivative of -n**3\/3 - 3*n + 2098. Let h(u) = -5*u. Calculate v(h(j)).\nAnswer: -25*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.5 - -3. Which is the third biggest value?  (a) -3\/4  (b) 9  (c) 1\/6  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y - 1. Suppose 0 = -3*k + 5 + 7. Suppose -j = -k - 3. Let l be x(j). Solve h + l = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/9))**(-1\/35)\/(t**0)**(-8)*(t*t**(-3\/7))\/(t\/(t*t**(-1\/10)*t))*t**(-2\/11)\/(t\/(t*t*t*t**9*t)) assuming t is positive.\nAnswer: t**(92053\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 22*k - 35. Let y be q(4). Let r(f) = 36*f**2 + 2*f + 3. Let z be r(3). Suppose 0 = -5*j - y + z. Calculate the greatest common divisor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -67\/9 or -0.263955?\nAnswer: -0.263955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 + 2)*2*-4. Let f(n) be the third derivative of -1\/60*n**5 - n**2 + 0*n - 3\/8*n**4 + 0 - 5\/3*n**3. Give f(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 12\/25 of a kilometer?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1079017026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 821933 is divided by 376.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 838919.6 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -47*q**2. Let j(y) = -8*y + 6. Let m(i) = -9*i + 7. Let h(z) = 7*j(z) - 6*m(z). Calculate h(w(a)).\nAnswer: 94*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16 and 38971928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**2 - 15*k + 3. Let z be x(7). Let j = -0.4 - -3.4. What is the nearest to -1\/4 in z, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 53562 and -642561992.\nAnswer: -642508430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*u**2 - u**2 + u**3 - 1 + 4 + 7*u**2 as x*u**2 + j*u**3 + b*u + c and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -ba (base 16) to base 12\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - 214 + 224. Let h(j) = -j**3 + 8*j**2 + 12 - 2*j - j**2 - 2*j**s. Let i be h(5). Solve 6 = 4*n + i*g, 6*g = -n + 3*g + 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 318118.\nAnswer: 2, 159059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 39463 + -39463. What is the closest to l in 4, -2, -5.66?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.47220334095 take away 0.1?\nAnswer: -0.57220334095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 14*n + 1228. Determine f(-88).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - 10010111?\nAnswer: -10010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, -5, 941, -16, 5, -4 in ascending order.\nAnswer: -16, -5, -4, 0, 1, 5, 941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/140 and -143\/360.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3025)\/(-4840)*((-8)\/(12\/3))\/(-3)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -74798000 to the nearest 100000.\nAnswer: -74800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 29 = n, 3*y = 558*n - 563*n + 39 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 0 - (6 + -20 - -11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3916.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.23261 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 246019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of -l**6\/120 + 3*l**5\/5 + 9*l**4\/8 - 31*l**3\/3 + 147*l**2\/8 - l - 4354. Factor f(t).\nAnswer: -(t - 49)*(t - 1)**2*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -139.7 times -0.2?\nAnswer: 27.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1103 + 8079. List the prime factors of g.\nAnswer: 2, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13 + -4. Suppose -a + w = 2*a. What is the third derivative of -6*q**3 - 2*q**2 + 4*q**2 - 3*q**2 + 5*q**a wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1590 + 1552.35. Let d = j - -38. Let i = d - 19.45. Round i to zero dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 254 = -0*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 516 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -5423*o + 3470715. What is q(640)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5960 divided by 5?\nAnswer: -1192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 2*o = 5*z + 236, -3*z = 5*o + 146. Let y = z + 116. Suppose -2*q + y = -q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -53057 + 74720. What is the ten thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 222 and 596292.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 3:49 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(30)*-1*-4)\/sqrt(10))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of j + 3166. Let t(m) = -2*m - 1. Calculate 2*l(c) - t(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 8476198417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100601 = -3*x + 2*b, 0 = -2*x + 4*b + 46832 + 20238. What are the prime factors of x?\nAnswer: 33533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**2 + 25588352*o - 51176688.\nAnswer: -4*(o - 6397086)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -36.53637 rounded to one decimal place?\nAnswer: -36.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/448 and 31\/1216.\nAnswer: 8512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*v = 60*v - 17*v + 1728 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 AM and 2:09 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5292 divided by 6.\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7405 - -7410. What is the nearest to -229 in 3, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 316541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -361 or -1807\/5?\nAnswer: -1807\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 525850023 is divided by 434?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -81.6383201 rounded to 1 dp?\nAnswer: -81.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)*2*1 - sqrt(77))\/(-1*sqrt(891)) + -1.\nAnswer: -1 - sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p\/((p\/p**(-9))\/p))*p)**(-7) assuming p is positive.\nAnswer: p**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 237788257*l*p - 865*l - 100518 with respect to p.\nAnswer: 237788257*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-482)\/(-10) - 11\/55. Calculate the highest common divisor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**2 - f + 15. Calculate b(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -8*z + 10. Calculate l(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**2 - 2*m + 12. Give n(8).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1229313 divided by -409771\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 - 6*m**2 + 5*m. Let z be n(2). Let j = z - -28. What is the remainder when 64 is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 22*k**3*o**4*q - 6*k**3*o**3 + 12*k**3*o*q + 122*k*q wrt o?\nAnswer: 264*k**3*o**2*q - 36*k**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 35144263 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 152 - 217. Let s = 78 + z. Which is the third biggest value?  (a) 1  (b) 0.2  (c) s  (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 9*r + 63. Let v be k(-5). Suppose -29*w + v = -40. Solve -w*m - 21 + 8 = 5*g, 5*m - 3*g = 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-23 - -24)\/((-3)\/30).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 + 3)*(0 - w - 1 + 2*w).\nAnswer: 5*w - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 56 + 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 0.3, 4, 0.0575, -0.5, 43, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -3*t + 28. Let i(b) = -b**2 + b - 1. Let x(c) = -f(c) - 3*i(c). Let d be x(6). Let a = 182 - d. Is 18 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-504 + 93 - 7074 + 0 + 1 - 3 + (-2 + 6 - 3)*(4 + 3 - 5))*(2*x**2 - x + x).\nAnswer: -14970*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 367504557 divided by -1127.\nAnswer: -326091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 4215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*f**3 + 13*f**3 - 17*f**3)*(-4*f - 2*f + 2*f)*((-3*f - 2*f + 3*f)*(1 + 1 - 1) + 19 + f - 19).\nAnswer: -84*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*s - 14 = 31. Solve 2*i = -s*i - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -32*k**2 - 899*k + 5412. What is a(6)?\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/((f*f*f\/((f*f**(3\/17)\/f)\/f)*f*f)\/f))\/f)**(1\/6)*f*f**35*f*f**(-21) assuming f is positive.\nAnswer: f**(775\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 85 - 79. Which is the closest to z?  (a) -0.4  (b) 3  (c) -0.5  (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 2*w + 12 = 0, 0 = -4*h + 2*w - 0 + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 8  (b) -2\/3  (c) 0.5  (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 84744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.6?  (a) -5  (b) -4.2  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of r**9\/84 - r**5\/30 + 3*r**2 - 6. Let n(g) be the second derivative of w(g). Find the third derivative of n(l) wrt l.\nAnswer: 720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -18, 0, -3 in ascending order.\nAnswer: -18, -3, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 224749210.6 to the nearest ten thousand.\nAnswer: 224750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -8 + 19 - 22 - 5 + l. Determine m(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-3)\/s**(1\/13)*s\/(s**(6\/11)\/s)*s*s*s**(-3\/4)*((s*s**(-6)\/s)\/(s*s\/(s*s*s**(-1\/5))))\/(s\/((s**(-2)*s)\/s))**50 assuming s is positive.\nAnswer: s**(-447797\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 l, and 2 t when four letters picked without replacement from uqqtlqqqeuutuuqq.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 + (-250)\/(-15) + 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 270 is divided by 47.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -272 + 261. Let c be (-2)\/x + (-3348)\/(-341). Solve 8*f = 3*f + c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 - -9)\/(9\/36). Let l be -4*4\/v*4. Let f = l - 9\/10. Is -2 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-29 - -23)*16\/(-2)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 223 + 467*g + 220 + 1650*g - 665 + 220 to s*g + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8761 or -8750?\nAnswer: -8761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19170 and 1467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22088923?\nAnswer: 29, 167, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 5:33 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5 and -3180335596?\nAnswer: 3180335591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 4*x + 21352 = 0, 0 = 4*x - 4 + 16. Let r = n + -27682. What is r rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 3) + 3 + 3 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 + 20. Which is bigger: a or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-38)\/(-171)*-12)\/(20\/(-54)))\/(247\/(-2470))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 3 o when four letters picked without replacement from lonollnino?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*m - 76 = -7*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.98247 times 1?\nAnswer: -1.98247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3628.\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 14356140, 28712277, 43068414, 57424551, 71780688, 86136825?\n\"Answer: 14356137*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 108 - 101. Suppose 1 - 92 = -o*n. Calculate the remainder when 16 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iji when three letters picked without replacement from zezjgjgijgjgzgogge.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + ((-531)\/59 - -87).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14415 + 14737. What is the remainder when 3862 is divided by f?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 3*d = 10. Suppose 0 = d*u - 1 - 159. Suppose 4*q + 3*g - u = 0, -q - 2*g = -2*q - 3. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -433 - -433. Let i(q) be the first derivative of 3\/5*q**2 + 4\/5*q + a*q**3 - 1\/10*q**4 - 19. Factor i(x).\nAnswer: -2*(x - 2)*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -22*p**2 + 52400*p - 52399. What is f(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + -16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 24\/13 - 2. What is the fourth biggest value in 0.5, -1, d, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 287961 divided by -3?\nAnswer: -95987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-136)\/680)\/(12\/(-15))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 1\/4, 1, -0.1, -109 in decreasing order.\nAnswer: 1, 0.3, 1\/4, -0.1, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that b**2\/3 + 95582*b\/3 + 2283979681\/3 = 0.\nAnswer: -47791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2439211780?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 215?  (a) -0.3  (b) 4  (c) -5  (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 22510823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7721, 15444, 23169, 30896?\nAnswer: 38625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(98) - (0 + sqrt(98)))*-4 - -5*2*sqrt(98)).\nAnswer: 4 + 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-26 + (-36)\/(-4) - -4). Put y, 0.4, 1, -16\/7, -1\/6 in descending order.\nAnswer: 1, 0.4, y, -1\/6, -16\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*b*d**3 + 93*b*d**2 - 247*b*o + 26*d**3*o**2 - 107*d**3 - 4*d**2*o**2 wrt o.\nAnswer: -247*b + 52*d**3*o - 8*d**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -9*c - 5*c**2 - 17 - 9*c + 30*c**3 + 22*c. Is d(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 908031373?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2219365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2699387927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.026514 minus 2?\nAnswer: -2.026514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28)\/(-4)*3\/(-42)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -312.292 + 0.292. Let d = 311.848 + z. Round d to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.061?  (a) -4  (b) -3\/8  (c) 0.2  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.19067 times -985?\nAnswer: -3142.80995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 60 in -0.14, 5, -2\/3, -687?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16904?\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1613115 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 16233036 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -362*j + 360*j + 8 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**2 - f. Let t(j) = 3*j**3 - 18*j**2 + 18*j. Suppose -z = -6 + 24. Give z*h(p) - t(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -186 - 270 = -6*j. Calculate the remainder when j is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -7 + -4 + (-184)\/(-16). Sort 3\/4, -7\/5, o, -1\/2 in increasing order.\nAnswer: -7\/5, -1\/2, o, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2371248*m**3*v**3 + 1696252*m**3*v**2 wrt v.\nAnswer: -14227488*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 38 - 6 = 5*l - l, y - 179 = -4*l - 139 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 - 4*b + 25. Calculate p(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(-52)\/(-24) - 7\/(-21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 5*c - 2, c = 3*s - 29 + 21. Solve -2*m = -s*y + 14, y = 7*m - 5*m + 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/4, -0.3, -1\/4, -1, -23, 0.09?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**3 - 3*i**3 + i**3)*(6 - 4 - 4) + 6*i**3 - 3*i**3 - 2*i**3 + (5*i**2 - i**2 - 2*i**2)*(-15*i - 4*i + 7*i).\nAnswer: -25*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(-4))\/(z**(-2)\/z))\/(z**(-1)\/z*z)**(13\/5) assuming z is positive.\nAnswer: z**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3495 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -69 - -75. Let q = -149 - -143.05. Let o = q + n. Which is the closest to 0?  (a) 2  (b) -0.3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1856?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 38627311 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 41 = -2*n, 0 = -5*n - 0*n - 3*d + 25. Suppose 0 = 3*c + 5*f - 5, -5*f - 9 = 1. What is the remainder when n is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -1809*k. Let z(y) = 8*y. Calculate z(s(q)).\nAnswer: -14472*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 2*k**2 - 6)*(-712*k**3 - 774*k**2 + 774*k**2).\nAnswer: 1424*k**5 + 1424*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.239385 to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 330 (base 6) to base 16\nAnswer: 7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3172 and -0.07277?\nAnswer: 230.82644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(17\/(-102))\/((-1)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.3 - 0.1. Let m = 0.1 + 0.1. Let t = h - m. Which is the second biggest value?  (a) t  (b) -0.4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 213 = 38. Calculate the remainder when l is divided by ((-28)\/(-7) + -7)\/(-5)*30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -33899*s**3*y**3 + 583452*s**3*y**2 + 4*y**3 wrt y?\nAnswer: -203394*s**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11038 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1348)\/(-3033) - ((-100)\/18 + 1). Let -6\/5*y**3 + 0*y - 6\/5*y**4 - 2\/5*y**r - 2\/5*y**2 + 0 = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8\/35 + 22\/1015. Let t = 308\/87 + c. Determine k so that -14\/3*k**3 - 2\/3*k + 0 - t*k**2 - 2*k**4 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + -17 + (14 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 11\/2 + 1\/(-2). Let d(r) = r + 1. Let j be d(m). Suppose -j + 48 = 3*f. Solve 4*o - 24 = -0*o + 5*q, -3*q - f = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 460.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:05 AM and 6:44 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -10591.8 rounded to the nearest one hundred?\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2074 + -1296. Suppose 3*j - w = j. Let q = 1583\/4 - j. Which is smaller: 8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 16.3 and 14135469.90083.\nAnswer: 14135486.20083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 339 + -263. What is the greatest common factor of 114 and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 + 16*n**2 - 15*n + 5. Let b be h(15). Suppose -s = -b*s + m + 5, -3*m = -9. Suppose u = 5*a + 487, s*a + 491 = u - a. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3 + 4*w**2 - w - 5. Let z be y(-4). Let l = -18 + 18.3. Put z, l, 0 in decreasing order.\nAnswer: l, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 274.7812 years to centuries.\nAnswer: 2.747812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9162501912.\nAnswer: 2, 3, 137, 928883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-10)\/(-4)*6\/5. What is the second derivative of 0*b**3 + 3*b**3 + 2*b**3 - 6*b**3 - p*b wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = m + 1165469, 3496447 = -82*h + 85*h + 2*m. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 + 7*a**2 - 1302*a + 5174. What is s(4)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/147 and 37\/75?\nAnswer: 3675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -5*s + 2*i + 145, 5*i = -2*s + 47 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d + d - 5*d)*(-97 - 24*d**2 + 97)*(-2*d + 2*d - 2*d).\nAnswer: -96*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + (-40 + -24 + 26 - -13) - (101 + 2).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -45324 divided by -7554?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7152 - -7264. Calculate the remainder when 661 is divided by y.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*r + 3*r + 11*r + 5*r + 224*r**2 in the form i*r + y + l*r**2 and give l.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -155.769 times 0.05\nAnswer: -7.78845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -30 + -274?\nAnswer: -2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2291*u**3 - 8*u**2 - 12*u - 4. Let o(v) = 9168583*v**3 + 32018*v**2 + 48027*v + 16009. What is 16009*k(x) + 4*o(x)?\nAnswer: -2287*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 + -7. Let j(y) be the second derivative of y**3\/2 - 3*y**2\/2 - y. Let l be j(g). Calculate the greatest common factor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -3100524\/97 and -31963 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 19?  (a) -1\/3  (b) 1  (c) -5  (d) -2\/3  (e) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (12*11\/154)\/((-7)\/(-147)). Solve 4*j + 14*q = 15*q - 22, 0 = -2*j + 4*q - p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*h + 14389 - 15145 = 0 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 + 1. Let p(u) = 2*u**3 - 3. Suppose -i + 4*d = 2, -2*i + 8 = -0*d - 2*d. Determine i*y(r) + 2*p(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 372.13 and -5795066?\nAnswer: 5795438.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3117239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q\/(q*q*q**10)*q)\/(q\/(q*(q\/(q\/(q\/q**(-2\/27)*q))*q)\/q)*q*q))**(3\/4))**(-30))**33 assuming q is positive.\nAnswer: q**7370","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1052\/7 + 150. Let t be 2*1\/(-16) - (-93)\/(-1240). Put 0, t, l in descending order.\nAnswer: 0, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + -287803?\nAnswer: -287805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -463 = -v - 4*u + 866, 0 = 4*v + u - 5436. Calculate the remainder when v is divided by 125.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 2\/7, 19, 237, -1\/5, -7\/2 in increasing order.\nAnswer: -7\/2, -1\/5, 0.1, 2\/7, 19, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = 2*m + 24 + 6, -12 = -2*j + 2*m for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 2*t**2 + 3*t - 587. Calculate the remainder when o(-23) is divided by 190.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 5*b = -0*n + 14, -3*b - 20 = -4*n. Suppose 2*g - g + n*s = 59, 4*g + s - 208 = 0. List the prime factors of g.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.426 - -2.426. What is the nearest to 1 in 0.09, j, 2\/15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -270*d**2*w**3 + d**2*w + 58480*d**2 + 9326*d*w**5 wrt w.\nAnswer: -1620*d**2*w + 186520*d*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 4 - 3)*(2*x + 22 - 22)*(-19*x - 23*x + 13*x)*(4*x - 3*x + 0*x) - 3*x + x - 2*x**3 + 0*x**3 in the form i*x + p*x**3 + c*x**2 + n and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 3*p - 3*p. Suppose p = -s - 5*o + 57, -s + 12 = 2*o - 36. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 172 and 84188.\nAnswer: 3620084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 568387?\nAnswer: 568387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 173 and 10.\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d**(-5)*d**35 assuming d is positive.\nAnswer: d**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(95)*-1 + sqrt(95)) + (sqrt(95)*2 + sqrt(95) - sqrt(95))*-2)\/(((sqrt(60) + sqrt(240))*-3)\/(sqrt(12) + 3*(sqrt(12) - sqrt(12)*-2))).\nAnswer: 40*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142887 is divided by 1356?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-nine quarters of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -207*d - 213*d = 287*d - 3535 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -14432113?\nAnswer: -14432114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6247*m - 8 + 9*m**2 + 6247*m.\nAnswer: 9*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (11\/(770\/20)*14\/10)\/((-19)\/(-4465))\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 10*(-3 + (-42)\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1617 times -1?\nAnswer: 0.1617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 31055 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 1244 divide 10162236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r - i = -3*r - 7, 4*r + 5*i - 13 = 0. Suppose -2*n = f - 2, r*f - 3 - 4 = -n. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -26*d**2 - 26*d - 26. Let l(t) = -t**2 + t + 1. Suppose 162 = -228*u - 66. What is u*g(c) - 26*l(c)?\nAnswer: 52*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3 + -2)\/(-1) - (1 + -1). What is the second derivative of -h*n**2 - 45*n + 5*n**2 + n**4 - 13*n**2 + 19*n wrt n?\nAnswer: 12*n**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -5 + 5 + 32*x - 27*x. Let j(l) = 9*l. Calculate j(f(u)).\nAnswer: 45*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/7  (b) -15  (c) -2  (d) 167  (e) -4  (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 2 + 2*r**2)*(3 - 3 - 2*r**2) - 5*r**4 + 3*r**4 + 0*r**4 + 3*r**4 + 3*r**3 - 3*r**3)*(4 - 4 - 2*r).\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2200102202120 - -10?\nAnswer: -2200102202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -669, -2701, -6089, -10833?\n\"Answer: -678*g**2 + 2*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 81936.422068655 - -0.241731345. Let p = k + -81944.66380018. Let g = p + 8. Round g to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 1 = -5*f - 3, -5*a - 2*f + 38 = 0. Let s = 9 - a. Suppose 5*w + 7 = 4*h, -s*w = -2*h + 5*h - 12. Solve 3*y + 3 = -h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 112\/(-54))*225\/100\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 183 + 133 + 85*b - 8 - 17.\nAnswer: 85*b + 291","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 0 + 234\/3627.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)\/sqrt(4) + 2 - -1*sqrt(63)*-2 - (sqrt(567) - sqrt(567)*-1)*2)**2.\nAnswer: -156*sqrt(7) + 10651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-48)\/32*16\/(-6). Suppose -72 = -5*l - h*l. Suppose l*u + n - 5 = 3*u, -5*u - 2*n = 0. Solve -o + u*x = 2, 2*o - o - 5*x = -11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2048 in 5, -200.3, 0.4?\nAnswer: -200.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 168 and 135576?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(3\/5))**(-6\/29)\/((t\/((t**(2\/23)\/t)\/t))\/(((t**(-4\/5)*t)\/t)\/t)))**(-2\/5))**(-2\/5) assuming t is positive.\nAnswer: t**(-64528\/83375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 319 at most as big as -57378.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 1) + (6 - (8 + 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 46855986 to the nearest integer?\nAnswer: 6845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*z - 235 = 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 1, 0.2, -1 in decreasing order.\nAnswer: 1, 0.4, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 992, 634, 216, -262, -800?\nAnswer: -1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 344 is divided by (-1408)\/(-96) + (-1)\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 31 - -9. Suppose 5*k + 10 = 7*k. Suppose 0 = a - k*a + o. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -37506*f**2*x**3 + f**2*x + 2*f*x**2 + 48647*x**2 wrt x?\nAnswer: -225036*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = -7*b + 9*b - 4*k, -1143*k + 1144*k - 17 = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 110, 220, 328, 434, 538?\n\"Answer: -i**2 + 113*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64 - 118 + 54 + 16*u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 24 + -19 + (1 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -51141258 minus 34?\nAnswer: -51141292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + -5.7. Let o = 0.3 - g. Let n be ((-6)\/(-9))\/((-2)\/(-9)). Sort o, n, 1\/4 in ascending order.\nAnswer: 1\/4, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -48 + 73. Let y = 16 - v. Suppose -4*i + 12 = -15 + 35. Put i, -3, y in ascending order.\nAnswer: y, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -86 - 29. Let g = u + 166. What is the highest common factor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of -4*x**6 - 7*x**2\/2 - 4*x - 12. Differentiate f(q) wrt q.\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1, -72, -1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vrruvwkvuuv. What is prob of sequence kw?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*d = 21*d. Suppose d = 4*y + 2*b - 2720, 4*b - 2*b = 3*y - 2026. What are the prime factors of y?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1626, 28848 in increasing order.\nAnswer: -4, 1626, 28848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 4*l**2 + 248*l - 2559. What is a(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -176 (base 10) in base 2?\nAnswer: -10110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 76458247 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 - m + 3*m)*(2*m**2 - 2*m + 2*m + (0 + 0 + m)*(-4*m + m + 2*m) + m + 2*m**2 - m).\nAnswer: 6*m**3 - 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -5 + 1. Let t = r - -8. What is the highest common factor of 28 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*w + 0 - 1 - 4*w)*(0 + 0 - 2*w).\nAnswer: -16*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 21 = p + 15, x + 30 = -4*p. Let d(y) = -28*y - 164. Give d(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 + 16. Suppose 0 = -r*q - 1 + 181. Let n = 55 - q. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + 5*k**2 + 4*k - 4. Let o be u(-2). What is the remainder when ((o + -4)\/4)\/(4\/244) is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 2*a - 4 = 0. Let h be (1\/14 - 0)*a. Let y = -2 + 4. Sort y, -0.5, h.\nAnswer: -0.5, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (100\/14)\/((-48)\/(-42)) - 6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b + 52886 - 52886.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*z = -15*z + 3*g - 102, -5*g = -z + 14. Solve 44*d = 36*d - z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6092 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 + 10. Suppose v = -2*f - 0*f - 2*f. Solve 0 = -5*t + 10, i + 2*t + 0 + 1 = f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1574945\/21 + 75023. Is 27 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert b17a (base 12) to base 6.\nAnswer: 225034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 412214?\nAnswer: 2, 11, 41, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 AM and 2:18 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -274*y - 8513. Calculate b(-31).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -3190000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*2\/1 + 6. Suppose l*k - 2*x = 13 + 7, 2*k + 6 = 5*x. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in -4, -0.292, 0.3, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 4*s = 2*a - 155, 0 = -3*s. Suppose 2*q = 31 + a. Let b be ((-1)\/4)\/((-19)\/2356). Calculate the highest common factor of b and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is -6\/1085 less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/(w*w**3*w))\/w)**(5\/6))**(-8\/9)*(w*w*(w*(w\/((w\/w**(-3))\/w))\/w)\/w)\/(w\/w**(4\/7)*w)*w**(-1)\/w**6 assuming w is positive.\nAnswer: w**(-1082\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 229*m + 1499. Let k(z) = -3*z. Let l(a) = -4*k(a) + s(a). Differentiate l(n) wrt n.\nAnswer: 241","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 228*s = 66749 - 83165 for s.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nvvibinib. Give prob of sequence ni.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 20 = -0*p. Let k be (-24)\/(-80)*(-15)\/(-18). Which is the closest to 0?  (a) p  (b) k  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(9\/4)*j*j*j\/j**10)**(-8\/3))**(-8))**(-36) assuming j is positive.\nAnswer: j**3648","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-549)\/(-9))\/(((-190)\/76)\/(6\/(72\/6))).\nAnswer: -61\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*v + 61*v = 125*v - 1840 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/9  (b) 2\/13  (c) 7.9  (d) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -189 + 93. Are d and -96 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -5*h + c, 2 - 6 = 4*h - 4*c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.285 in 1\/10, 0, 3, -1, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/20*72*(-2 + 3)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2474*z + 142938 - 238*z - 146387 with respect to z.\nAnswer: -2712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 425800358 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 0.121, -0.1, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, q: 3, h: 3, a: 2, k: 5}. Give prob of sequence hqk.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -4732775 (base 8) to base 7\nAnswer: -13660050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-29)\/5 - (-178)\/(-890)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2\/4)\/(2\/20). Suppose 0 = m - s + 2. Let t(v) = -v**3 + 4*v**2 - 4*v. Let n be t(3). Which is the second smallest value?  (a) n  (b) m  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -126*m - 100. Let i(c) = 34*c - 6*c - 61*c - 99 - 94*c. Let l(v) = 4*i(v) - 5*p(v). What is the first derivative of l(j) wrt j?\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -32*y + 414 + 466 - 848 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, -36263, -1, 5, 0.\nAnswer: -36263, -1, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30, -74, -160, -300, -506, -790, -1164?\nAnswer: -1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23*k**2 - 712*k + 355*k - 2 + 0 + 356*k + 2*k**4 to the form s*k**4 + v + z*k + o*k**2 + t*k**3 and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14*f**4 - 6*f**3 - 265*f**2 wrt f.\nAnswer: 336*f - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 103858243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 1.9  (b) -0.87  (c) 3\/4  (d) 3  (e) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -11089587 less than -138.35927?\nAnswer: 11089448.64073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2985)\/(-12) + 9\/(-12). Let z be ((-252)\/g + 1)*-2. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -9*q**3 - 4*q**2 - 3*q - 2. Give p(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g - 5. Let q be a(5). Suppose q*b - 2 = -b. Suppose -b*v - 6 = -2. Is -3 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {g: 1, d: 1, c: 2, e: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -7*v**4 - 101*v**3 + 36*v - 123967?\nAnswer: -28*v**3 - 303*v**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 7395, -479, 5 in decreasing order.\nAnswer: 7395, 5, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 62.6 - -2.\nAnswer: 64.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 2 + 0)*(-2*k + 60*k - 20*k) as c*k + r and give c.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12874, -25767, -38680, -51613, -64566?\nAnswer: -77539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3 + 1073051*b**2 + 206053440*b + 9891007488.\nAnswer: -(b - 1073243)*(b + 96)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(99) + (sqrt(99) - (sqrt(99) - 5*(sqrt(99) - sqrt(99)*1 - sqrt(99)) - sqrt(99)))**2 - sqrt(99).\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -10131112 (base 4) to base 6\nAnswer: -220314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 13*t**3 + 3*t**2 - 2*t + 2. Let l be y(2). Suppose 22 = 3*p - n - l, -2*p = 3*n - 76. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 868 - 868 + 2*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-171))\/(-1*1\/(-6))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34142296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**2 + 7*a. Let y be g(7). Let s(k) = 7*k + y*k - 2*k - 4 - 2*k**2. Let q = -51 - -54. Determine s(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 81\/40 + -21\/40. Which is the smallest value?  (a) k  (b) 2  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 61*y**3 - 410*y**2 + 160*y - 18. Let j(p) = 57*p**3 - 410*p**2 + 160*p - 16. Let i(v) = 9*j(v) - 8*s(v). Determine q, given that i(q) = 0.\nAnswer: 0, 2\/5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73585.\nAnswer: 5, 14717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 4*g**5 - 4*g**4 - 164*g**3 - 124*g**2 + 592*g + 560 = 0.\nAnswer: -5, -2, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3408.003789 - -3408. What is h rounded to four decimal places?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1050.999361 - -1051. What is x rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 5*h - 25, 2*k = -2*k - h + 5. Suppose -3*g = -3*o + 558, -o + 2*g - 6*g + 176 = k. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (177 + 216 - 484)*(-2*n**3 - 3*n**2 + 3*n**2).\nAnswer: 182*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + ((-4312)\/66 - -32 - 1\/(-3) - 9)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a8 (base 15) to base 16.\nAnswer: 9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 138 and 3105.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-1)*(0\/(-3))\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/51432 and -121\/48?\nAnswer: 102864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1141, -941, -401, 647, 2371, 4939, 8519?\n\"Answer: 28*m**3 + 2*m**2 - 2*m - 1169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -142.9969 times -0.5?\nAnswer: 71.49845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-32)\/(-2736))\/(2\/18)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20) - -2*sqrt(20))\/sqrt(4) - sqrt(5)) + sqrt(405)*-2 + -5.\nAnswer: -16*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2 + i + 1. Let w(n) = 4*n**2 + 5*n - 58. What is -6*f(j) + w(j)?\nAnswer: -2*j**2 - j - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 (base 9) in base 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 6, j: 2}. Give prob of picking 2 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -217, -215, -213?\n\"Answer: 2*i - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 383 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*-4*((-5*(sqrt(30) + -2*sqrt(30)) + sqrt(300)\/(sqrt(30)\/sqrt(3)))\/(1*sqrt(490)*-5))**2.\nAnswer: -1296\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6279532  (b) -0.2  (c) -8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 45*p**2 + 3*p - 424 wrt p.\nAnswer: 90*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 153915 is divided by 852.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*x + 7. Let w = -2787 - -2796. Solve -x*a + 3*a = 4*d - 14, 5*a = 3*d + w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5242\/85, -2.4, -5 in descending order.\nAnswer: 5242\/85, -2.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5092, -9.8, 0.5?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vm when two letters picked without replacement from hhvvhbmhhhhm?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 274529 (base 10) to base 13\nAnswer: 97c58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12947*j + j**2 - 7*j**2 - 2*j**3 + 7*j**3 + 12983*j + 0*j**3.\nAnswer: 5*j**3 - 6*j**2 + 36*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 5*k**5 - 500*k**4 - 4835*k**3 - 7630*k**2 = 0?\nAnswer: -7, -2, 0, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 210, 49, -0.7777, 1 in descending order.\nAnswer: 210, 49, 1, -0.7777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 18\/(-3 + -3) + -9. Is (-8094)\/s + 18\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 266 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74 = -p + 63. What is p rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1273\/57 - 22)*(-34 + (-1 - 1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 312, 310, 308, 306, 304, 302?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 34 - 34 - 9*j**2. Let l(r) = 156*r**2 + 42*r. Let a(n) = -31*n**2 - 8*n. Let h(t) = -21*a(t) - 4*l(t). Give -6*h(p) - 17*w(p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 13\/65*3715*(-2)\/10. Which is smaller: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80 is divided by (-37)\/(-1) - -1*4?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, u: 1, v: 4}. What is prob of sequence vvu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 7:35 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 404*t**2 - t - 1. Let w be f(-1). Suppose -5*a = -9*a + w. Find the common denominator of 97\/44 and 3 - (a\/12 - 4).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3*(-8)\/(-18)*-12. What is the tens digit of (m\/(-10))\/(2\/(-35))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - 3) + 3 + -7 - 1 - 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -146*q*u**2*w + 110*q*u**2 - 2*q*u - 2*u**2*w with respect to w.\nAnswer: -146*q*u**2 - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 + 4. Let n = g - -2.1. Let r = -15 - -10. Which is the closest to -2\/5?  (a) 2  (b) n  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*g + g + g)*(-18 - 15 - 3)*(-48 + 27 - 61).\nAnswer: -5904*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -5*h + 17. Suppose -12 = -5*v - 2*k + 11, -3*k = 2*v - 18. What is the second derivative of -v*p**5 + 5*p + 0*p + 2*p**h - 4*p wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y + 7. Let x be u(11). Let g be (-2)\/8 - x\/16. Solve -4*w + t + 18 = g, -4 - 4 = 4*t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6888 and 2310?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.02 - 1. Let w = -0.019998 + f. What is w rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of l**9\/30240 + l**6\/360 + l**5\/30 + 3*l**2. Let q(n) be the third derivative of h(n). What is the derivative of q(i) wrt i?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*i - 24*i + 264808 = -27*i. What is the ten thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 4*u + 6, -3*u - 3 - 17 = -4*f. What is the common denominator of 73\/57 and (49\/12 + -7 + f)*-10?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 2 = 2*f, 0 = -75*h + 77*h + f - 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 2*l - 218, 0*l = 3*r - 2*l - 678. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 9508*k**3*w - 18*k**3 - 15 wrt w.\nAnswer: 9508*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10213411 (base 5) in base 10?\nAnswer: -85481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -25.96 * -315636.\nAnswer: 8193910.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 110091121 to the power of 1\/3, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 7:49 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -22\/3*d - 8\/3*d**3 + 4\/3 + 26\/3*d**2.\nAnswer: -2*(d - 2)*(d - 1)*(4*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6901528 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - 0.4. Suppose 19*g = 18*g - 2. What is the second smallest value in n, -3\/4, g?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1 + 219)*1\/(-48)*4 and 145\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -410*b = -27*b - 35653853. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 52 + 7 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9953 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -121, -224, -327?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.661 to 1 decimal place.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 AM and 5:04 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-9) + -1 + 204035\/(-310761)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*1\/(-12)*36\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 PM and 3:00 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 28.4*-161.937\nAnswer: -4599.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -76 + 24 - 8*c**3 + 25 + c**2 - 2355*c + 26 - 5*c**4 + c**3 wrt c.\nAnswer: -60*c**2 - 42*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -17, -78, -179, -320, -501?\n\"Answer: -20*d**2 - d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -916 + 2?\nAnswer: -914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-26) - 11664\/104. Let g = s + 124. Calculate the remainder when 34 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9058*z - 9058*z + 8*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 12, -1, 39, 5, -2 in descending order.\nAnswer: 39, 15, 12, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 9*c - 21*c + 9*c)*(38*c**3 - 581*c + 581*c).\nAnswer: -114*c**4 + 304*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 364 is divided by 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*q**4 - 4*q**4 - 5*q**4 + (3 - 3 + 2*q**3 + 2)*(-q + 0*q + 0*q).\nAnswer: -11*q**4 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2578724*l**2 + 681*l - 656.\nAnswer: 5157448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 50\/319 and 47\/464?\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13\/8 - 41\/4*r**2 - 17\/8*r**4 + 1\/8*r**5 + 53\/8*r + 29\/4*r**3.\nAnswer: (r - 13)*(r - 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -750, -1482, -2210, -2934, -3654, -4370, -5082?\nAnswer: -5790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h - 3 - 4 - 20*h + 27 - 18 - 11.\nAnswer: -17*h - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -150 (base 16) in base 10?\nAnswer: -336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 430 and 2848280.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x**5\/7 - 416*x**4\/7 + 5421*x**3\/7 + 529294*x**2\/7 + 5630656*x\/7 + 729600 = 0. What is x?\nAnswer: -16, -1, 50, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1068 + 760. Let u = -63 - x. Let j = u - 152. What are the prime factors of j?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -122548*i**3 - 5342*i**3 + 24961*i**3.\nAnswer: -102929*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 98*a + 65. Determine t(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (26361\/(-435))\/(6\/(-3340)) + -2.\nAnswer: 2, 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2384421 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 276105794.\nAnswer: 2, 67, 71, 29021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29088 = 1670*x - 761*x for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 1404*w + 83. Is k(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1450 - 1450 + 2900 + 947*y + 6*y.\nAnswer: 953*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1288666656 and 24768?\nAnswer: 12384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*27\/(-12)*(-156 + 153).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 5 + 21. Let f be -1*0*(-4)\/c. Solve 16 = -4*a + 2*d, a + f*d + d = -4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y. Let h(r) be the third derivative of 3*r**4\/8 + 9*r**2. What is h(q(n))?\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 165 = -49. Let t = 98 - a. What is the highest common divisor of 24 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 + 9*h**2 + 7*h - 3. Let m be a(-6). Let l = 289 + -295. What is the units digit of 6\/(-4) - m\/l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, 5, -32, -1, 17, 6 in descending order.\nAnswer: 17, 6, 5, 2, 0, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*i**2 - 368620*i - 245740.\nAnswer: -5*(i + 24574)*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3122301 to the nearest integer?\nAnswer: 1767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 - d**2 + d - 1. Let n(r) = -r**3 + 13*r**2 - 11*r - 11. Let z be n(12). Give q(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -60 + -49?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -28  (b) 2\/11  (c) -4  (d) 5  (e) -2\/47  (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 12 = -0*v - 3*v, 3*s + 16 = 4*v. Suppose -v*r = 3*r - 21. Solve 3*d = -4*a + d + 10, 4*d = -r*a + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaaaaaaaaa. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -3, 30, 1, 6, -1, -4 in decreasing order.\nAnswer: 30, 8, 6, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (-7 + 8 + -13)) + -9 + -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 3*m**2 - 17*m + 71. Let r be f(5). Solve -r*v - 234 = -22*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*c + 12*c - 770 = 0 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 4*s = -6, 23*q - 22*q = 4*s - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l - l + 2*l)*(l**3 - 5*l**3 + 3*l**3) + 4*l**3 - 4*l**3 + l**4 - l + l - l**4 + 34*l**3 - 34*l**3 + 22*l**4 + (2*l + 3*l - 3*l)*(9*l**3 + 6*l - 6*l).\nAnswer: 38*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = q + 71*q + 288 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(84)*2*-5)\/(4*sqrt(48)\/sqrt(4) - (6*(sqrt(12) - sqrt(12)*-2) - sqrt(12))).\nAnswer: 10*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 15*a = -20*a + 6, 6 = 2*r + 3*a. What is the highest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 + 10 + (20 + -8 - 38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, q: 2, s: 1}. What is prob of picking 1 q and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r - 5*r + r)*(2 + 3 - 41) + 6*r + 3 - 9 + 4.\nAnswer: 78*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 3*y - 8 = 0. Let v be y + -4 - 2*1\/(-6). Which is the fourth biggest value?  (a) v  (b) -0.02  (c) 0  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 67.5 + -68. Which is the fourth biggest value?  (a) -5\/2  (b) 4  (c) -5  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15062 is divided by 4\/(-6) - ((-7567)\/141 - (-3)\/(-1)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*s + s + 2*s + (0 + 0 + 2)*(-12*s + 3*s - 2*s) - 2*s - 4 + 4 + s + 2*s - s + (-3 + 2 - 1)*(2 - 2*s - 2) to the form k*s + x and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 + 24*u + 34. Let d be r(0). Suppose 2*s = -2*x + s + 62, 2*x - 4*s - 82 = 0. Which is bigger: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7887 and 4302.\nAnswer: 47322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x + 7*x - 80. Let w(i) = 9*i - 2. Let u(f) = -8*f + 3. Let r(s) = -7*u(s) - 6*w(s). Determine r(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1699716*p*r**2 - 674*r**2 + 10*r + 10 wrt p?\nAnswer: -1699716*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2541 and 24684.\nAnswer: 172788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.07  (b) -34  (c) 0.1  (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3948062467?\nAnswer: 37, 59, 1808549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3192 and 84?\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - (-2 - -3)) + 7 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 4 = -3*s, -2*b + 12 = -5*s. Let z be b*1\/5 + (-32400002)\/10. What is z rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 + 5*q**2 + 927*q + 4671. Give v(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -291.96 * -0.77\nAnswer: 224.8092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 j when three letters picked without replacement from hjhjhhnjnjjj?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 476634312 divided by -2772?\nAnswer: -171946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000001343052 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**13*a\/(a**(5\/3)*a) assuming a is positive.\nAnswer: a**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from oomomooooooooommoooo?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28579 - 13269. Is 27 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*n - 4101 = 3711. Let d = n - -653. Solve -2*j = -3*b - 4, -d*j - 2 = -3*j + 5*b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 74\/315 and (-432)\/(-280)*((-156)\/(-30) - 5)*-1.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3933 and 63.\nAnswer: 27531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 165367 divided by -2.\nAnswer: -165367\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hyyi when four letters picked without replacement from dkyiddhdhdiyyhi.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + 44 + -18 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 59700\/13930*(-14)\/(-72)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63 - 5 + 44*h - 3*h - h**3 + 87 + 157.\nAnswer: -h**3 + 41*h + 302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 78*o + 74*o - 77*o + 47*o + 97*o to i*o + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -138 - (-191 - (3 + -50))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 122 + -10021102?\nAnswer: -10020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 4\/5, 3\/5, -4, 1\/6, -0.2272?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 10*s + 33 - 32*s + 18*s. Let g be p(7). Let t(c) = -2*c**3 + 10*c**2 + 2*c - 7. What are the prime factors of t(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1282714759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -5*t**2 - t + 6. Let f(z) = -3*z**2 - z + 3. Suppose 6814*y = 6821*y + 28. Give y*b(g) + 7*f(g).\nAnswer: -g**2 - 3*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 240 - 239. Let j be (-51)\/(-9) - (r + 5). Which is the nearest to 10?  (a) 0.2  (b) j  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 194397129 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -7*q - q**2 + 2*q - 1376 + 1381. Calculate c(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*k**2 - 3851315*k - 2200740 = 0.\nAnswer: -110037, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 + 592*s**2 - 4275*s - 49126. Calculate r(-599).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 0 + sqrt(34)\/sqrt(2) + 2 + 5*(5*(sqrt(119)*3 - sqrt(119) - sqrt(119)))\/sqrt(7))**2.\nAnswer: 156*sqrt(17) + 11501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 5872982530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8850845 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 < 0.0893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l + 4. Let f(p) = -4*p - 12. Let c(s) = -3*f(s) - 10*y(s). Let w(a) = 2*a**3 + 2*a**2 - a. Let j be w(1). Give c(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -26\/51 at most as big as 84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 153 a factor of 2156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - 0*m + 24. Suppose 0*w + 15 = 3*s - 3*w, -2*s = 4*w - 34. What is the remainder when (102\/m)\/(1\/(-2)) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = -5*s + 9*s. Solve 4*a = 15*j - s*j + 4, 5*j + 4*a = -8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -v + 2*r + 171, 179 = v + 3*r. Calculate the remainder when (0 - -20)\/((v\/(-77))\/(-8)) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3 + 21711\/3753 + -3. Let x = 1\/139 - h. Which is the third smallest value?  (a) -3  (b) -1\/2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -0.332  (b) -0.03  (c) -3\/304  (d) -2\/7  (e) -1\/8  (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand v**3 + v**5 - v**3 + ((3 - 1 + 0)*(-20 - 13 + 8) - 1 - 1 + 1)*(0*v + 0*v - 3*v**5).\nAnswer: 154*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 k when three letters picked without replacement from {p: 3, k: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1)\/(-2))\/(2\/4). Let t(b) = 1 - m + 3*b + 0. Let a(f) = -3*f**2. Determine t(a(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate b**3*g**3 - 26*b**3*g**2 + 805225*b**3*g*n + 2*b**3 + 139*b*g**3*n + 25*g**3 - g**2 + 912 wrt n.\nAnswer: 805225*b**3*g + 139*b*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 206141 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: Let m(g) = -6*g**2 - 6*g - 2. Let r(i) = -5*i**2 - 5*i - 2. Suppose 2*u + 2*u - 16 = 0. Calculate u*m(l) - 5*r(l).\nAnswer: l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 2*x - 3 + 3. Let b(s) = -21*s + 21*s + 3*s**2 + 0*s**2. Give a(b(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rlubxjl. What is prob of sequence jx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - 1.1. Let w = 0.43 + 23.07. Let j = 23 - w. Which is the nearest to s?  (a) 0  (b) -4  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 + 12. Let j be k\/(-4)*(3 - 11). Is j less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3017 - -3019. Let o = -1\/15 + -23\/105. Which is the closest to o?  (a) 1\/8  (b) -1\/3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(91)\/((sqrt(28)\/sqrt(2))\/sqrt(2)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7394 is divided by 2431?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20 and 25470730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - 4. Let r = -25 + 12. Let j = r - -15. What is the third smallest value in y, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 PM and 2:23 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -6*4\/4*136\/1122*1\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 403*r - 1 + 153*r + 96*r.\nAnswer: -154*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 0 - 1\/9*g**2 + 127\/9*g = 0.\nAnswer: 0, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-10)\/(-4)*(-2 + (-6)\/(-5)). Let u(j) be the first derivative of j**3 - j**2\/2 - j + 2. Give u(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 - 239 = -3*l. Calculate the lowest common multiple of (-48)\/216 + (-1707)\/(-27) and l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 720467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 40010353 + -33?\nAnswer: 40010320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 244 - 68. Let j(q) = 3*q**2 - q + 1. Let v be j(1). Let c(i) = i**2 + 2*i + 1. Let b be c(v). What is the greatest common factor of s and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + k = 5*k - 24, 5*d = 4*k + 60. Let g = 3 + d. List the prime factors of (0 + 6)\/(6\/g).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 6\/5, 2\/21, -1, -3610?\nAnswer: -3610","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 38 = 3*i, 895*k - 890*k = 3*i + 34 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4007843 to the power of 1\/2, to the nearest integer?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 divided by 89?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4839665  (b) 2  (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 14695849*k**3 + 15561161 wrt k?\nAnswer: 44087547*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 631079 and 16489?\nAnswer: 6941869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*z + 6*z - s - 19, 4*z - 4*s = 56 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 48*n**2 + 8*n - 3. List the prime factors of r(6).\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -888 by -24.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 241*v + 57120. Calculate r(-237).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -63 plus -249513427?\nAnswer: -249513490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -212 - -223. Solve i + 7*f + 5 = s*f, 3*i - 2*f - 5 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of 5\/2*f**2 + 0 - 1\/2*f**5 + 8*f + 5\/6*f**3 + 1\/6*f**6 + 5\/42*f**7 - 5\/6*f**4. Find k such that o(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 6:44 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -2858 + 2858 - 119*g - g**2 as m*g + o + j*g**2 and give m.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*o + 27*o = 3*o - 886059. What is o rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 950.2077g?\nAnswer: 950207.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the second derivative of -u**6\/60 - u**5\/15 + 3*u**2\/2 + 3*u. Let k(a) be the first derivative of s(a). What is the third derivative of k(d) wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 - 101 - -120 - 30?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -153.624 - 0.376. Let l = r + 153. Which is bigger: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19468150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (2\/((-14)\/105))\/(-2 + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24 - 18. Suppose o*m - 8 = 2*m. Suppose 0 = m*q - 2*y - 100, 5*q - 4*y + 2*y = 265. What are the prime factors of q?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 417 take away 0.25?\nAnswer: 416.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 823620.5 centimeters to kilometers.\nAnswer: 8.236205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1\/4)*o**(-4)*(((o*o**5*o)\/o)\/o*o)\/(o\/(o*o**4)))\/((o**(4\/3)*o**(1\/2))\/(o\/o**(-4\/3)*o**7)) assuming o is positive.\nAnswer: o**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 576*n**5 - 1632*n**4 + 1444*n**3 - 300*n**2 - 84*n - 4 = 0. Calculate n.\nAnswer: -1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14473*g + 5669*g + 8814*g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of s**5\/10 + 2*s**4\/3 - s**3 - 89*s**2\/2 - 50*s. Let d(j) be the first derivative of a(j). Solve d(l) = 0 for l.\nAnswer: -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -12. Let a = 1 + u. Let o = 5 + 27. What is the remainder when o is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2378160 is divided by 125165.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 18*k + 2*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 62, 92, 88, 32, -94, -308?\n\"Answer: -3*z**3 + z**2 + 48*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 + (-8)\/24)\/((-10)\/3). Which is the nearest to -1?  (a) r  (b) -3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 72 + -68. Which is the closest to 2\/3?  (a) 2  (b) -1\/7  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*r - 3*u - 6, -u = 3*r - 1. Solve -p + r*p = 5*b + 26, -2*b = -4*p + 14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2227 divided by -1.\nAnswer: 2227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -35.5 + 17.3. Let t = c - -15. Let h = t + 3. Is 1 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.3  (b) -0.1  (c) -1  (d) -2039\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 2 p, and 1 k when four letters picked without replacement from {p: 2, x: 2, k: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2646.847488 + 2672.84748814. Let d = -26 + v. Round d to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12694320 and 11424888?\nAnswer: 114248880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of -d**2\/2 - d + 1. Let v(w) = 5*w - 3. Let j(i) = -6*s(i) - v(i). What is the remainder when j(8) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 83952 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -25*p + 821. Is h(-13) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -114*p - 2 + 2 + 11*p + 2*p**2.\nAnswer: 2*p**2 - 103*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -8, -3*b + 13 = 4*x - 10. Let a be (-7)\/((-70)\/8) + 16\/b. Solve 3*w - 2 = a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 10*l - 21. Is t(15) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 33 = 5*d, 0 = -a - 3*d + 151. Calculate the remainder when 1166 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 PM and 5:02 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/10)\/j**(2\/11))\/(j**(1\/2)\/j)**(-7) assuming j is positive.\nAnswer: j**(-208\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r. Let f be d(-6). Let k = f - 6. Suppose 0 = -k*z + z - 17. Calculate the greatest common factor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzqcdd. Give prob of picking 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*l**6 - l**2 - 74*l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 348006*h**2 + 30*h. Let d be o(-5). Round d to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d. Let v = 11 + -17. Let k(q) = -2*q. Let l(n) = -2*n. Let y(r) = k(r) - 2*l(r). Let c(i) = v*h(i) + 4*y(i). Let s(t) = -2*t. Calculate s(c(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are -7122 and -7120 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 160635 (base 7) in base 6?\nAnswer: 401553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 132*b**3*l**3 + 47*b**3 wrt l.\nAnswer: 396*b**3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-2))\/(8\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k - 3*k + 5*k)*(-5 - 6*k + 12*k + 6)*(2 + 2 + 0).\nAnswer: 120*k**2 + 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*y**2 + y**2 - 2*y**2)*(-2*y - 7*y + y) to r + h*y**2 + i*y**3 + p*y and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 26 + -30 - -14*(-1 - -12). Let u = g + -134. Suppose -7*k + u*k - 279 = 0. Which is smaller: k or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -42254955.4597 - -42473963.359701. Let z = k + -219008. Let q = z + 0.1. Round q to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(3\/4)*f**(-1\/6)*f*(f*f**(10\/9))\/f**(-9\/2) assuming f is positive.\nAnswer: f**(295\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -23113 - 1?\nAnswer: -23114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 2*k**4 + 466*k**3\/3 - 25696*k**2\/3 - 27064*k\/3 + 52288\/3 = 0?\nAnswer: -344\/3, -2, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1134452?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 407 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 14971111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6114 = 6*r + 2*r - 17862. What is the greatest common factor of 148 and r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, -2, 1435, 21 in descending order.\nAnswer: 1435, 21, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -341\/38888 or 1\/2?\nAnswer: -341\/38888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 26*y**2. Let n(h) be the first derivative of 3*h**2 + 1987. What is n(v(m))?\nAnswer: 156*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - g + 1 + (-g + 2 - 2)*(-4 + 6 - 1) + 2*g - 2*g - g - 183*g - 22*g - 52*g + (0*g - 2*g + g)*(-3 + 1 + 1) to the form j + d*g and give d.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 - 0. What is the highest common divisor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 46994.506 to the nearest one hundred.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*b - 16*b - 29*b = 3*i + 17, 4*b = -2*i - 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 - u. Let d be 48\/128 + (-5)\/(-8). Let p(s) = -45*s**4 + 5*s**3 + 5*s - 3. Let z(l) = d*p(l) + 5*j(l). Differentiate z(a) with respect to a.\nAnswer: -180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 (base 5) in base 7?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 + 8*k - 3)*(0 + 2 + 0) - 4 + k + 4)*(-k - 4*k + 3*k + 0*k - k - k + (-1 - k + 1)*(1 - 2 + 0) - 3*k + 3*k - k + (5*k - 5*k - k)*(-2 + 1 + 3)).\nAnswer: -102*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.012 + 13.012. Let a = 23 - j. Let i = -9.8 + a. Put 5, -2, -4, i in increasing order.\nAnswer: -4, -2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 254.4577ng to tonnes.\nAnswer: 0.0000000000002544577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 0*l = -4*v - 1416, 3*l = -v + 1078. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 210908926 and 14?\nAnswer: 1476362482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 12:42 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58851 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/(1\/(-1 + 2)). Suppose -3*m = -17*o + 722 - 935, -o + 3 = 5*m. Sort 4, u, o, -3 in ascending order.\nAnswer: o, -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -3*n**2 + 17*n + 18. Let k(g) = 2*g**2 - 16*g - 18. Let u(o) = 3*j(o) + 4*k(o). What are the prime factors of u(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1071*l**2 - 5 + 3 - 5 + l.\nAnswer: -1071*l**2 + l - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.12 + -1.22. Let r = 0.05 - -2.95. Let d be 1\/(6\/4 + -1). What is the second biggest value in q, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 30179*y**3 - y**2 + 203*y + 8 wrt y.\nAnswer: 181074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42501816 divided by -10625454.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3, v: 13, f: 4}. Give prob of picking 1 j and 2 v.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -11 + -2 + (92 - (-29 + 98)) - -43\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 84828 divided by 6.\nAnswer: 14138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 29 and 15606727?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 11:48 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 18561*c**3 - 800*c*z - 5*z - 20302798 with respect to c.\nAnswer: 55683*c**2 - 800*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.2781206 + 24.7222194. Let z = o + -25. What is z rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = p + 21, 117*n - 121*n + 6*p = 84 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -79602114216 minus -0.027?\nAnswer: -79602114215.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.456 and -0.0857?\nAnswer: 1.5417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 32 + -32. Let c(f) = f + 1. Let v be c(3). Suppose w*s = v*s. Solve s + 4 = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2*w + 2. Let g(q) = -2*q - 1. Let d be g(0). Let j(l) = l**3 + l. Give d*m(f) - 2*j(f).\nAnswer: -2*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 AM and 3:10 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 4*q = 17 + 4209, 0 = 2*s - 2*q - 8432. Find the common denominator of -105\/374 and (s\/(-2100) - 6\/(-75)) + 5.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-357)\/27 + 8\/36)*(-44 + -185223) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f**3 - 5*f**2 + 9*f + 3. Let s(k) = -6*k**3 - 14*k**2 + 26*k + 8. Calculate 8*h(u) - 3*s(u).\nAnswer: 2*u**3 + 2*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 630595 + -268016. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 24200 + -24199.8. Which is the smallest value?  (a) w  (b) -1  (c) -11  (d) -0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -9*w**3 - 4*w**2 + 41*w. Let p(j) = 26*j**3 + 11*j**2 - 125*j. Give 11*f(z) + 4*p(z).\nAnswer: 5*z**3 - 49*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 2*y = 70, -3*y + 1 + 13 = w. Suppose 20*m - w*m - 15 = 0. What is the greatest common divisor of m and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 + 0 + 2*j)*(-2*j + 2*j - 2*j) + 2*j - 8*j**2 - 2*j - 5 + 5 + 2*j**2)*(3 + j**2 - 3) as s*j**2 + l + n*j**4 + k*j**3 + w*j and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2105553517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -129 + 345. Let o = k - 192. Calculate the remainder when o is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 4. Suppose -5*u + w + 3 = 0. Suppose -3*r + 12 = 3*y, 2*y + u = -r + 8. Solve -12 = -5*n - i, -y*n + i = -i - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**3 - 10*z**2 - 15*z - 5. What are the prime factors of j(-10)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 7*c**4\/4 + 1355*c**3\/2 - 464665*c**2\/4 + 98975*c + 16512 = 0.\nAnswer: -516, -1\/7, 1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 266 - -611. Suppose -3*r + 328 = 2*j - a, -2*j = -3*r - 1211. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -120417 divided by 451\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9.4 + -9. What is the second biggest value in 11, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + 24\/10)\/((-8)\/(-120)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.0551 + 384.0551. Let g = -383.99999784 + v. What is g rounded to seven decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2060743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*z - 96200 + 96536 = 0 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.2914 and -5.\nAnswer: -4.7086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/2516843 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -331 + 562. Let j = -221 + i. Calculate the highest common factor of j and 710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*l - 28*l - 1700 = 0. Let d = 1171 - 580. Let a = d + l. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-8)*(-4)\/1*(-32676)\/2723?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-6)*(75264\/(-2450))\/128\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/11  (b) -7  (c) -0.0154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(2\/13))\/(o*o**4*o))\/(o**(1\/3)*((o\/o**(-7\/3))\/o)\/o) assuming o is positive.\nAnswer: o**(-254\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*m**2 + 284292*m - 532464?\nAnswer: -4*m + 284292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 803848673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 81466 and 18469?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/9)\/(d**(-7)\/d))\/(d*d*d**(-2)*d)**13 assuming d is positive.\nAnswer: d**(-43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -4*o**4 + 40*o**3 - 80*o**2 - 40*o + 84 = 0.\nAnswer: -1, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*l + 3*l + 0*l)*(42 - 54 - 75) as n*l + x and give n.\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 3*c - 12. Suppose 5*f - 20 = s, 4*f - 14 - c = -4*s. Suppose s*w - 5*o - 3 = 2*w, -4*o - 9 = -5*w. Is 24\/17 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 12  (b) 3  (c) -2  (d) 0.5  (e) 0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 3 = -4*s - 0, 9*s + 29*b - 15 = 24*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6*u**3 - 154*u**2 + 3*u - 6102?\nAnswer: 18*u**2 - 308*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 135, 142, 133, 114, 91?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of -s**4\/4 + s**3\/6 - s**2\/2 - 7*s + 7. Let k(f) be the first derivative of c(f). Suppose -2*h + 8 = 4. Determine k(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 27 - 15 = 0. Let p be (1 - (2 - s)) + (6 - 5). Solve p*g - 3*w = 0, -3*g - 4*w - 25 = -0*w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12518147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 5, x: 1, r: 6, y: 1, a: 2, z: 5}. What is prob of picking 1 r and 1 y?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 5*h - 44. Suppose -3*n - x + 6 = -h, 3*n = 4*x - 8. Let l be (n\/5)\/2*20. What is the greatest common factor of 64 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2 - 1 - 7 + m + 10. Let g(f) be the third derivative of -f**5\/20 + 5*f**4\/4 - 2*f**2 + 5. Give g(w(n)).\nAnswer: -3*n**2 + 30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2470 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 - 548 = -3*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6163796677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**3\/7 + 324*v**2 - 11416*v\/7 + 13728\/7.\nAnswer: 4*(v - 3)*(v - 2)*(v + 572)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 + 2*a. Suppose c - 2*c = 2. Let l be o(c). Suppose l = 4*m - 5*m - 15800000. Round m to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/13 in -4, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-117)\/(-52))\/(6\/(-16)) + 424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3211933 or -2?\nAnswer: 3211933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 42 + -38. Suppose d*m - 19*m = -45. Find the second derivative of -17*n**3 + 92*n**3 - 34*n**m - 21*n wrt n.\nAnswer: 246*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1021011002200012021 - 1?\nAnswer: -1021011002200012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/15 + 66\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 - -12. Let k(h) = -h**3 + 1. Let w be k(-1). What is the remainder when q is divided by 4*1 + (0 - w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**12*v\/(v**12*v))\/(v**(-4)\/(v*v*v**(-4))))**(-34) assuming v is positive.\nAnswer: v**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2597147 divided by 66?\nAnswer: 2597147\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -945 + 1473. Let c = 528.01699 - p. Round c to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -111011 (base 2) to base 4\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 divided by 1203760.\nAnswer: -9\/601880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 477550 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/3))**(-28)\/(q**2)**34 assuming q is positive.\nAnswer: q**(-176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, l: 4, z: 2, y: 3, u: 2, p: 3}. Give prob of sequence ypcu.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -5*p + 15, 5*p - 5*q = -0*p - 15. Let i(h) = 11*h**2 - h - 10. Let r be i(3). Let b be ((-12)\/10)\/(2 - r\/40). Solve b = 2*a + p*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -7 - (4 - 3)\/(7\/(-56)). Suppose 5*q = l + 2, 3*l + 6*q - q - 34 = 0. Solve 3*m + w = -l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(2\/5))**(7\/8)\/(l**4*(l**(-1\/12)*l)\/l) assuming l is positive.\nAnswer: l**(-407\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1814 = 2*g + 4*o, 5*g - 4*o - 1855 = 2708. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 589496408 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 - 1. Let u(n) = 6*n**2 - 8*n - 67. Let o(l) = -5*l**2 + 9*l + 57. Let b(t) = -5*o(t) - 4*u(t). Calculate b(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -12 - (62\/155)\/((-9)\/285). Is x at least -0.12477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20748 divided by -798\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**2 + 9*b + 2. Let g be n(-9). Suppose 6*o + 20 = 4*o. Let r = -7 - o. Solve 0 = 4*z - l + 8, z - 4 = r*z + g*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10110 - 21?\nAnswer: -10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -4274484527 minus 4?\nAnswer: -4274484531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*2*(-3 + -1*-3*sqrt(50)*-3)**2 + -4.\nAnswer: 1080*sqrt(2) + 16232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2. Let w(v) = 3528*v. What is w(n(x))?\nAnswer: 3528*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -30*w**3 - 22*w**2 + 31*w**3 + 37*w**2 + 49*w - 18*w**2 as b*w**2 + g + x*w**3 + c*w and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b**3 - 2*b**3 + 41*b**2 + 5*b**3.\nAnswer: 5*b**3 + 41*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(280)*2)\/(sqrt(5) - sqrt(315)\/sqrt(7)))\/((sqrt(8) - (sqrt(32)\/sqrt(4)*4 - sqrt(8))) + 2*sqrt(128)).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -11\/94  (b) 0  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11b5a47 (base 14) to base 9.\nAnswer: -17003534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.21?  (a) -53\/42  (b) -1  (c) 2  (d) -2\/13  (e) -5  (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**2 + 2*b - 1. Let p(x) be the first derivative of x**2\/2 + 7*x + 1. Let y be p(-6). Calculate w(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(2\/19)*b\/(((b\/((b*b**(-9\/8)*b)\/b))\/b)\/b*b))\/((b\/b**(-2))\/b**21))**(33\/4) assuming b is positive.\nAnswer: b**(95205\/608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 - 7*k**2 + 7*k - 8. Let h be t(6). Is h > -19\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 4*x - 0*x. Is -4 - (-161 - x - 4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (435\/25)\/(2\/10). Let n = 96 - s. Suppose -v + n = -0*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3\/9)\/(6\/198). Is 11 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.14, 17, -193\/83?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 675, 629, 583, 537, 491?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of -y**6\/24 - y**5\/15 - y**4\/6 - 5*y**2 - 4*y. Let c(m) = -30*m**3 - 25*m**2 - 25*m. Give -4*c(b) + 25*t(b).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(57)\/sqrt(3)*2 - (sqrt(57)\/sqrt(3) + -5)) + (4 + sqrt(931) + 2)**2.\nAnswer: 85*sqrt(19) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 2 = q. Suppose 5*g = 2*a - 19, -g - 4*a + 7 - 24 = 0. Sort g, -3, q in decreasing order.\nAnswer: q, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -430.136 - -424. Let x = 0.064 - o. Round x to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.5  (b) 0.072  (c) 3\/4  (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-6)*k*k)\/k*k*k**0)\/(k**(-2\/3))**40 assuming k is positive.\nAnswer: k**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3, 8, 41, 108, 221?\n\"Answer: 2*z**3 - z**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 167215907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q**3 + 2*q**3 - 56 - 9*q**3 + 5*q**3.\nAnswer: -q**3 - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -259*y**3 + 3*y**2 - y - 3. What is the remainder when a(-1) is divided by 89?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-3\/10))\/q)**(1\/5)*(q**(-2\/25)\/q)**(-13) assuming q is positive.\nAnswer: q**(141\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 93*d**6 - 23*d**3 - 2841*d**2 + 22*d**3 - 5463*d**2 + 61*d**6 wrt d?\nAnswer: 18480*d**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -2*n - 1. Let u be h(-3). Let y(o) = -2*o**3 - 3*o**2 + 5*o + 3. Let t be y(-3). Suppose -s = -6*s + t. Solve -s*z + 9 = -3*x, 3*x = -2*x + u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 at most -2059.857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2784*r**3 - 10*r**2 - 14*r + 258. Let u(y) = -928*y**3 + 3*y**2 + 4*y - 87. Let p(o) = 2*g(o) + 7*u(o). Find the third derivative of p(k) wrt k.\nAnswer: -5568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 + 5*i + 2. Let v be n(-3). Let a be (v\/(-5) - -2)*-30. Suppose 4*r - 154 + 10 = 0. What is the highest common factor of r and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2736413919?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1410.97 litres to millilitres.\nAnswer: 1410970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -165775225 + 3*b + 165775225.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i - 8*i - 33*i. Let j be o(-1). Suppose -2*a + 5*v - 141 + 52 = 0, a = 2*v - j. Round a to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/3, 2.9, 2, -2\/5, 2\/3, -1\/77, -1\/92?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let u = -74 + 179. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/21 + (-1)\/28. Let n(q) = q**3 + 4*q**2 + 3*q + 4. Let s be n(-3). Let r be 6\/(-8) + 2\/s. Which is the nearest to 0.1?  (a) r  (b) 0.3  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1351 - 1332551?\nAnswer: -1334342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r + 1. Suppose -5*z - c = -22, 2*z - 4*z + 3*c + 19 = 0. Suppose m - 3*m = 5*h - z, -5*h = -2*m + 15. What is the units digit of l(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -2*o + 16. Let j be ((-2)\/4)\/1*o. Let h(f) = f**3 - 2*f + 8*f - 5*f**2 - 18 + 27 - 12. What is h(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 140410 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -915*d + 3737. Determine q(4).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00090236276 rounded to five dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*g + 156 = -61*g + 147*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35021498 to the nearest integer?\nAnswer: 5918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14092969*k - 29728031.\nAnswer: -14092969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 30 + -32. Let p = -27\/2 - -14. Which is the biggest value?  (a) -0.2  (b) h  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 - 13*g**2 + 8*g + 30. Let w(v) = 2*v**3 + 27*v**2 - 14*v - 60. Let p(i) = 5*u(i) + 2*w(i). Let m be p(-12). Solve 11*y + m - 8 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**3 - 9*r**2 - 10*r - 4. Let g be n(-8). Calculate the highest common factor of 96 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a (base 13) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*b = -12*x + 10*x + 9, 3*b - 2*x + 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -3*p**2 + 73*p + 4. List the prime factors of y(13).\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + 10000010000010110110000?\nAnswer: 10000010000010110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/756 and -47\/18319?\nAnswer: 1978452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000074457 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.305614 to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 3*d = 12 - 61, -2*h + 4*d - 28 = 0. Let a be 65\/h - (-2)\/8. List the prime factors of 2\/a - 76\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0243 to three dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 629314 is divided by 209499.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oxp when three letters picked without replacement from xoxkcxxccxxoxcpkk?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 70\/(-15)*(2142\/49)\/(-17)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2394 + -2395. Sort -0.3, c, -0.01 in decreasing order.\nAnswer: -0.01, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -801\/65 - -168\/13. Which is the closest to 0.1?  (a) p  (b) 1\/8  (c) 0.4  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8 - 2)*9\/6. Suppose h + 2*s + a = 0, 5*h + 4 = -s - 5. Let d(z) = -79*z**3 - z**2 - 2*z - 1. What is the tens digit of d(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in d**2 + 387*d + 27*d - 7*d**2.\nAnswer: -6*d**2 + 414*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1382 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 21 + 13, 116 = 2*f + 5*v. Let l(x) = -527*x**3 - 68*x**2 + 68*x + 68. Let d(s) = -39*s**3 - 5*s**2 + 5*s + 5. Give f*d(m) - 5*l(m).\nAnswer: -17*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - s = 15, 2*w - 58 = 10*s - 15*s. Is w bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p + 5, 0*x = -3*x + 3*p - 123. What is the smallest common multiple of 4 and (x\/6)\/(3\/(-9))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84*m**2 - 43*m**2 - 39*m**2 - 4*m + 4*m.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10511946734 + -0.5.\nAnswer: 10511946733.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 10) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 246 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 o, 1 z, and 1 u when four letters picked without replacement from buzov?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -258 * 20995\nAnswer: -5416710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -15 + (1625\/26 - 3). Sort -1, y, -6, 5, -3 in descending order.\nAnswer: y, 5, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -86 - -52. Let v be d\/(-8) - 7\/28. Let w be v\/(-3)*9\/(-3). Solve 2*u + w*x + 2 = x, -u + x + 9 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - 2. Let x be (-45)\/25*70\/21. Let a(f) = 28*f + 173. Let s be a(x). Solve 4*h = 2*l + z + 4, 0 = -s*l - 2*h + 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**3 + 2*v**4 + v**3 + (0*v**2 - 2*v**3 + 0*v**2)*(-2*v - 3*v + 7*v) - 2*v**4 + 1 - 1 - 15*v**4 + 5*v**4 + 23*v**4.\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 8*g**2. Let i be 129\/(-6) - 5\/(-10). Let q = -10 - i. Calculate the remainder when k(-2) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 3\/(45\/84).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, l: 1, t: 1, v: 1, n: 5, e: 3}. Give prob of sequence esl.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 5*p + 54 + 77, 5*p + 68 = q. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -27248 + 60058. Is r\/70 + (-2)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(-1)*a*a*a)**(-23))**26)**(-3\/5) assuming a is positive.\nAnswer: a**(3588\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 21 + -21. Let s be 0 - (d + 3) - -3. Suppose -4*i + 6*c = 4*c - 348, -5*i + c + 441 = s. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h - h + h + 0. Let l(a) = -a + 1. Let g = 24 - 19. Suppose -g*c - u = 8, -10 = 4*c + u + u. Calculate c*l(p) + 2*n(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((31416\/(-48))\/119)\/(44\/(-184))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.01, 0.123, -2\/19 in increasing order.\nAnswer: -2\/19, -0.01, 0.123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 69 = c, -2*m - 3*c + 65 = 2*c. Suppose a - 6*a = m. Let b be 6\/(-8) - a\/28. What is the nearest to 1 in -0.1, -2, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21 + 25. Solve 3*k + 12 = -l*z + k, 2*k = -z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lll when three letters picked without replacement from llwllwwllllllwwl?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 10 = 5. Let i be -3*1 + (-3 + 13 - o). Solve -i*u = 3 + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 461.1959 years in months?\nAnswer: 5534.3508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/13?  (a) 4  (b) -0.4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12.5 + 12.49999849. What is y rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -103434*q**2 + 136247 wrt q?\nAnswer: -206868*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*j**2*p*q*u - 18*j**2*p*q + 8*j**2*p*u**3 - 2*j**2*p*u**2 + j*q*u**3 - 4*j*u**2 - 2*p*q + 9*p*u**3 wrt u.\nAnswer: 48*j**2*p + 6*j*q + 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16 - (1 - 4)) + (115 - 127).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 127 - 66 + i - 67.\nAnswer: i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -0*i - i + 14, 3*d = -4*i + 29. Suppose i*s - 19 = -3*n, 0 = 3*n - 5*s + 6 + 25. What is the second smallest value in 0.2, 1, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8273019ng in grams?\nAnswer: 0.0000000008273019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/6 - 1798*h\/3 + 3590.\nAnswer: (h - 3590)*(h - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, -219, -2 in decreasing order.\nAnswer: 4, 0, -2, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:17 PM and 6:28 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7690 + 501097328?\nAnswer: 501105018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 4*v = -140. Let k be (-113)\/(-2)*v\/14. Suppose 62 = 5*a - k. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -125, 7\/136, -5, -0.2, -28 in ascending order.\nAnswer: -125, -28, -5, -0.2, 7\/136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-257 - 7*n**3 + 257 - 3*n**4)*(2 - 4 - 2)*(147 - 73 - 70).\nAnswer: 48*n**4 + 112*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 129 = -i, -4*s = 2*i + 3*i - 669. Is 131 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*l - l + 5*l + 2*l + 4*l + 3*l + (2 - 2 - 3*l)*(2 + 3 - 3).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 25*y - 468. Let b(v) = -4*v**2. What is m(b(h))?\nAnswer: -100*h**2 - 468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 5*u**2 - 3*u. Let g = -198 + 192. Let t(w) = 16*w**2 - 10*w. Give g*t(k) + 20*a(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 + 55*g**2 + 166*g - 209. What is p(58)?\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.15  (b) 5  (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*o + 3*o + 2*o + (4*o - o - 2*o)*(-1 + 0 + 0) - 209*o + 239 + 209 - 195*o + 395*o.\nAnswer: -12*o + 448","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**2 + 1310*f - 85805.\nAnswer: -5*(f - 131)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -4*o + 807, -4*o + 4*p + 210 = -606. Let l = -202 + o. Are l and 8\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4170890 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.07  (b) 956  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 496*i**2 - 469*i**2 - 12*i**2 - 12*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 152907 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15 or 1445\/101?\nAnswer: 1445\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2003989 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 25616480 and 55688.\nAnswer: 25616480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 21 = -0*b - 3*b, -2*u + 7 = b. Suppose -13*v + b*v = -150. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -10*g - 34. Let i be s(-3). What is the nearest to -0.1 in -0.2, i, -2\/9, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -350.1 - -350. Which is the smallest value?  (a) 1\/2  (b) -4  (c) k  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the first derivative of 1 + 0*x + 0*x**2 + 5\/3*x**3. Let u(s) be the second derivative of s**4\/12 - 12931*s. Calculate u(t(y)).\nAnswer: 25*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 80*z**2 - 41*z**2 - 33*z**2. Calculate c(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 46182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttb when three letters picked without replacement from {b: 1, k: 4, t: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(1 + (-1 + sqrt(99) - sqrt(99))))**2*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-399)\/45 + 2 - (-2)\/(-15). Let n(w) = w**2 - 6*w - 22. What is the lowest common multiple of n(g) and 5?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52491 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-24)\/20)\/((-15)\/50). Let a = 3 - 10. Let m(o) = -2*o**3 - 2*o**2. Let j(i) = -i**3 - i**2. What is a*j(l) + d*m(l)?\nAnswer: -l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(((-96)\/30)\/(-16))*1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 491*n**5\/3 - 26186*n**4 + 3643882*n**3\/3 - 40129316*n**2\/3 + 42682297*n + 522242\/3 = 0. What is n?\nAnswer: -2\/491, 7, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 48, -35, 37 in descending order.\nAnswer: 48, 37, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from olooqlosqqsooqlqqos. Give prob of picking 2 q.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b + 1. Let v(c) be the third derivative of -c**5\/12 + c**4\/24 - c**3\/6 - 2*c**2 - 1174. Give 3*i(l) + v(l).\nAnswer: -5*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -118990, -119135, -119278, -119419, -119558, -119695, -119830?\n\"Answer: t**2 - 148*t - 118843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -612*z - 325*z = -569*z + 2506*z - 94842 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*s + 54*s - 2*s + 27*s.\nAnswer: 62*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1\/239 + -5973\/478. Let x = -12 - p. Which is the biggest value?  (a) -0.04  (b) -2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -185 - -265. Calculate the highest common factor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*q + 369 - 1951. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3062 and -3?\nAnswer: 3059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -16*g**5 + 15576*g**4 - 3882537*g**3 + 44375148*g**2 = 0.\nAnswer: 0, 12, 1923\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaaaaaa. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2152, 1\/3, 115, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 191 - 1339\/7. Let h = -1.36 + -1.64. Put -2, s, -4, h in increasing order.\nAnswer: -4, h, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(33) + (sqrt(33) - (sqrt(132) + sqrt(33))*1))*-2)\/((sqrt(300) + (-1*sqrt(300) - sqrt(300) - sqrt(300) - sqrt(300)))*-1 - sqrt(300)).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of -a**6\/2 - 21*a**5\/5 + 21*a**4\/4 + 43*a**3 - 63*a**2 - 1447. Find f such that z(f) = 0.\nAnswer: -7, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*g + 1022 - 390 + 21*g - 316 - 316.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fffj when four letters picked without replacement from {f: 5, j: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 7*m**2 - 2*m + m - 21*m**2. Suppose 0 = 3*u + u. Let n be 14\/7*(u + (-2)\/4). Give t(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-6) - (-120)\/45. Solve 4 = 2*o - o + d, 5*d + 15 = i*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1.329104 tonnes?\nAnswer: 1329104000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/6294 and -109\/12?\nAnswer: 12588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g. Let r(u) = 1016*u + 88. Let x(q) = -35*q + 9. Let t(f) = 2. Let p(y) = -6*t(y) + x(y). Let k(v) = 176*p(v) + 6*r(v). Determine k(j(n)).\nAnswer: -64*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, 18, 0.3 in increasing order.\nAnswer: -1, 0.3, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 1790*u**2 - 3*u + 1. Let m be y(1). What is the greatest common factor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 23817583 and 969?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, k: 4, c: 4, n: 1}. Give prob of sequence rckn.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 0. Let v = -1 - p. Let h = -3\/29 - -35\/58. What is the nearest to h in -0.2, -2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 + 6*t - 6. Let o be r(4). Suppose o*j + 4 - 14 = 0. Solve -4*y + 4*b - 4 = 0, 0 = -2*y + j*b - 8 - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -777 - -783.82. Let g = -0.18 - d. Let p = g + 7.3. What is the third smallest value in 2\/3, -0.2, p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/16 of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 29, 0.2, 2, -2 in increasing order.\nAnswer: -2, 0.2, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of 17 - 15\/2*n**2 + 5\/3*n**3 - 50*n. Factor l(o).\nAnswer: 5*(o - 5)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.11 in 4, -8, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 627983286?\nAnswer: 2, 3, 7, 3671, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 3*x**2 + 5. Suppose -3*h - 35 = 5*p, 3*h = -p + 8*h - 7. Let u(g) = 1 + 4*g**2 - 2 + 8 + 0. Give p*y(b) + 5*u(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30 (base 16) to base 9.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26845.\nAnswer: 5, 7, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -639 - -636. Let u(r) = 3*r + 4. Determine u(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z - 5 + 5)*(-z - 4*z + 3*z)*(4*z - z + 3*z) + (2*z**2 - 3*z + 3*z)*(-3*z + 3*z - 2*z).\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**7\/d*d*d)**45)**(15\/2) assuming d is positive.\nAnswer: d**(6075\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 595775.\nAnswer: 5, 23831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:01 PM and 10:22 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 100685536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7.4872 + 2.\nAnswer: -5.4872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.8548615 rounded to 2 dps?\nAnswer: 9.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y + 20. Is 2 a factor of x(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 6*y = 0. Suppose 8*r - 3*r = y. What is the closest to r in 1\/10, 5, -5\/6?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a - 2 + 2)*((-4 + 2 + 1)*(1 + 1 - 4) + 4 + 6 - 1) - 2*a - 3 - a + 5.\nAnswer: 8*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 429065 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -6932 + -8?\nAnswer: -693a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 95 - -8?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmzm when four letters picked without replacement from {m: 3, p: 1, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, s: 2, c: 5}. Give prob of sequence cwss.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**(-2\/5)\/v)*v*(v**1*v)\/v)\/(v*v**(-6)*v*v**3) assuming v is positive.\nAnswer: v**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2b (base 14) to base 6.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*q + 21*q - 15*q in the form j + m*q and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9 + 14. Let o = f + 19. Calculate the remainder when 93 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -3 + 2 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 6295007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -476250*y - 330*y**2 + 476250*y as k*y + f + h*y**2 and give h.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1438735 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 6, -24, -1, -2.\nAnswer: -24, -2, -1, 2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28939277.\nAnswer: 271, 106787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -125978885\/74 - -1702392. Let f = 42\/37 - y. Let c = 19375\/12 - 1625. Find the common denominator of c and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7058031 is divided by 8207?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + v = -10. Suppose -5*s - 2*j = 10, 3*j + 18 - 3 = -v*s. What is the closest to -1 in -5, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, 22, 16, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 534, 2148, 4846, 8634, 13518, 19504, 26598?\nAnswer: 34806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.04, 1, -2\/85?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/((k\/(((k*(k\/k**(-3\/5))\/k)\/k)\/k)*k)\/k)*k\/(((k\/(((k*k*k**(-2\/19))\/k)\/k*k))\/k)\/k))\/((k\/k**(-2\/13))\/k*k*k*k**(-1\/10)))**(2\/105) assuming k is positive.\nAnswer: k**(363\/43225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes before 5:40 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*f + 38*f = -510. Suppose 2*m - 8*m = -f. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 12:37 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11 + 10 - b + 0 + (5 - 1 - 5)*(-b + 2*b - 2*b) - 1 + 1 - 2*b - 5*b - b - b.\nAnswer: -9*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 32, 7, 4, 16 in ascending order.\nAnswer: 4, 7, 16, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.19, -3\/2, -29073 in decreasing order.\nAnswer: 0.19, -3\/2, -29073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/(-3) - 3\/(-9). Let b(l) = l**3 + 0*l**3 - l**x + 0*l**3 + l. What is the units digit of b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6300425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 69 - 57 = 0. Let s = f - 28. What is the remainder when ((-133)\/14)\/((-6)\/(-84)*-7)*5 is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 AM and 12:00 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 PM and 2:34 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - -1. Suppose b*y - 6 = 4*t, 0 = -4*t + 5*t + 4*y - 12. Sort -0.5, -1, t in decreasing order.\nAnswer: t, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/3*1 + 320292\/(-83700) + 4.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2702 - -268?\nAnswer: 2970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n\/n**(-1\/3)))\/n)**(14\/3)\/(n**(-2\/5))**14)**(8\/7) assuming n is positive.\nAnswer: n**(-32\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 - 15. Put -2, 1, c in descending order.\nAnswer: 1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*i + 66*i - 167*i.\nAnswer: -49*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (10 - (0 + 0 + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*h + 3*h + 5*h)*(10 + 5 - 7 + 7) as w + x*h and give x.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8\/(-24) + 5\/3. Sort m, -0.4, 0.22 in ascending order.\nAnswer: -0.4, 0.22, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1145.2887184 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)\/(sqrt(4) + sqrt(100)*6))\/((2*sqrt(1728))\/sqrt(4)).\nAnswer: sqrt(3)\/372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 22479365*i**2 + 14528154 wrt i?\nAnswer: 44958730*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, q: 3}. What is prob of sequence qkq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = 5*u - 13, 0 = -5135*n + 5140*n - 5*u + 25 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -332.162 - -333. Let i = m + -0.058. Round i to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 676\/2 - 15\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -174906540 by -3015630.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 3 + 2)*(302*z + 2*z + 309*z + (2 + 2 + 0)*(-3*z + 4*z + 2*z)) + (-6 + 2 + 2)*(4*z - 2*z + 0*z) - 1 + 1 + z as h + u*z and give u.\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + (-1*sqrt(35))\/sqrt(5) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9353.595 millimeters to kilometers.\nAnswer: 0.009353595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 839488.5nm to millimeters.\nAnswer: 0.8394885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3009 - 1?\nAnswer: -300a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q**5 + 84*q**4 + 648*q**3 + 2112*q**2 + 3120*q + 1728 = 0 for q.\nAnswer: -18, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3405 - -3404.8. What is the fourth biggest value in -6, -2.4, 7, k?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10146096 is divided by 1684?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - k - 10 = 0, 0 = -7*k + 9*k + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 40 = a, 0 = -6*b + 8*b. Let p be 1 - (-318)\/(-4)*-2. What is the highest common factor of a and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/5)\/(84\/16170). Suppose -17*y + 1897 = b. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -4*s + 2686, 3*r + 2030 = 3*s + 7*r. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 8, 2\/7, 2, 0.1, -1.3955.\nAnswer: -1.3955, 0.1, 2\/7, 0.3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1162, -5, 87 in descending order.\nAnswer: 87, -5, -1162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6032 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12.3 - 14.3. Let i = x + 2.4. Which is the smallest value?  (a) i  (b) 7  (c) -4  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5245 - -42501?\nAnswer: 33212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 412*o + 31. Let l be h(-1). Let n = l - -508. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**3\/21 - 36*z**2\/7 - 648*z\/7 - 3888\/7.\nAnswer: -2*(z + 18)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 55 - (-98 - -52).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 954 and 108?\nAnswer: 5724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1822085681\/3 equal to 607361895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -37478.9999921262 + 37479. What is y rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -74918 + 74918.062133. Let b = -0.12113327 + n. Let a = b + 0.059. What is a rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -115*t - 3. Let m be h(4). Let d = 309119\/4 + -77727. Let w = d - m. What is the common denominator of -83\/22 and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12 + a**4 - 13*a + 296*a**3 - 10 - 299*a**3 in the form u*a**4 + q + b*a**3 + m*a**2 + y*a and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 2:05 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 + 15. Let v(h) be the second derivative of h**5\/20 - 3*h**4\/4 + h**3\/6 + 3*h**2 - 15*h. Does 29 divide v(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(288)\/sqrt(4) - (sqrt(200)*-2 + sqrt(200))*6)**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 9*o**2. Let s(p) = -34*p**2 - 1142 - 1146 + 2288. Determine s(d(j)).\nAnswer: -2754*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(50)\/sqrt(5))\/((2*sqrt(4))\/sqrt(2))*-1*1.\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rmvrlmbvmrvryvv. Give prob of sequence bvv.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 717 a factor of 13470996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1142660434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 168*k - 1760. Give u(20).\nAnswer: 1600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (-4)\/(-8)*-30\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -416*t. Let g(f) = f. Determine v(g(x)).\nAnswer: -416*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 68387860 and 18104?\nAnswer: 136775720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8*c**3*z - 889*c**2*z + 211721*z wrt c?\nAnswer: 24*c**2*z - 1778*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 3*v**2 + 13*v - 9. Is g(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/3, -1\/8, 1\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 381 - 429. Let v(b) = -b**3 - 47*b**2 + 51*b + 204. Is 8 a factor of v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7680 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2044 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -25 + (3 - (20 - 22) - (11 + 2)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.3 or -1455\/19?\nAnswer: -1455\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (-34 - -1 - (-129 - -121))) + 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**3 + 0*g**3 + 2*g**3)*(-1 + g + 1) - 10*g**4 + 5*g**4 - 7*g**4.\nAnswer: -10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 5*h + 13 = 0, 4*h - 28 = 2*w - 0*w. Let o = w - -8. Suppose -4*s = o*g, 2 = -s - s - g. What is s rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -4*b**2. Let m(l) = -79*l**2 + 6. Calculate u(m(d)).\nAnswer: -24964*d**4 + 3792*d**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 164*p**2 - 85*p**2 - 88*p**2.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 849*g**3 - 89*g**2 + 19*g - 16. Is r(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -445*y + 446*y = 921. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 76*x - 75. Let s be l(1). Let r(j) = -j. Let g(v) = -3*v + 1. Determine s*g(w) + 6*r(w).\nAnswer: -9*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 7*v**3 - 13*v**2 + 5*v - 6. List the prime factors of c(4).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 - w - 1. Let d(u) be the first derivative of 8*u**3 - 8*u**2 - 16*u + 5. Let m(o) = d(o) - 16*v(o). Let p(s) = -s**2. What is p(m(z))?\nAnswer: -64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 8230992220 rounded to the nearest one million?\nAnswer: 8231000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 101739007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 133\/24 and 97\/1050.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 + 44*o + 52. What is j(-43)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.011118 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/2420082 and -47\/18.\nAnswer: 2420082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 382 divide 803728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x**2. Suppose 4*m + 77 = 2*s + 21, -3*m + 166 = 5*s. Let z(v) = -s*v**2 + 22*v**2 + 3 - 3. Calculate z(c(g)).\nAnswer: -40*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 14*c + 3*c**2 + 2*c**2 + 5*c**3 - 24*c = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:08 AM and 1:33 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, z: 2}. What is prob of sequence pppp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together -16888453798131 and 0.4.\nAnswer: -16888453798130.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1432*h - 27250 = -342*h for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 710163763 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -43950 + 43948. Let u = 2 - 3. Let g be 4\/((-68)\/(-15)) + u. What is the closest to t in g, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/17932045 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 42863017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 13477601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 4*x**2 + 4*x + 1. Let k(l) = 735*l**2 + 140*l + 35. Give -35*h(t) + k(t).\nAnswer: 595*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 11*v - 1. Let y be z(1). Let c be (-3 - -4)\/1*25. Calculate the highest common factor of c and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1728) + sqrt(1728) + -4 + sqrt(1728))**2 + -4.\nAnswer: -576*sqrt(3) + 15564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -9 - (-38 - (-11 - -22 - (-1 + 4))).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1708273, 1708234, 1708195?\nAnswer: 1708156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 92 + -312. Let m = 2413\/6071 - 6\/467. Calculate the common denominator of 2\/(-2) + b\/(-12) and m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 9:06 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 0*x - 3 = 2*k, 0 = 2*x + k + 19. Is (-149)\/x - (-4)\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14 - 17 + 263)*(3 - 3 - v**3).\nAnswer: -232*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 331169 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: Sort 1, -10, -134, 0, 5, 2.\nAnswer: -134, -10, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 212770 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2 - 7*x + 13. Let a be q(-11). Suppose 151 = -4*m - 5*u, 0 = m - 3*u - 2*u + 19. Let i = a - m. Which is smaller: i or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 131 = -a - 81, -s - 5*a = -106. Suppose -t - 3 = -s. What are the prime factors of t?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 3*q + 16 = 0, 2*q = -2534*j + 2538*j + 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/4*2 - 13. List the prime factors of g\/(-63) + (-68)\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -10.6  (b) 2\/11  (c) -3  (d) 1\/4  (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -28974, -33558, -46012, -70272, -110274?\n\"Answer: -656*a**3 + a**2 + 5*a - 28324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.4  (b) 10\/9  (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 430 divided by 2\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 2*h + 53, 3*c - c - 3*h - 111 = 0. Suppose -330*a - 335 = -335*a. Let m = a - c. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 5*p - 81, 2*y - 5*p + 1294 - 1405 = 0. Let i = 78 - 54. What is the least common multiple of y and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -43.491 + 42.491. Which is the fourth smallest value?  (a) m  (b) 0.2  (c) -2.7  (d) -12  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 34 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of -k**3\/3 - 7*k**2 + 39*k - 110. Let i be 4\/(-1*3\/12). Let s be b(i). Solve y - s = 4*o - 0*o, 4*y + 4*o = -32 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 32841, -0.3, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 0 + 0)*(-2 + 3 + 1) + 19 + 0 - 1)*(-3*y - 2*y + 6*y).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.57 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*r - 4*r - r**2 - 8*r**2 - r**2 + 0*r**2 + (-4*r - r + 3*r)*(9*r - 3*r + 3*r) - 1 - r**2 + 1.\nAnswer: -29*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -290, 4, -4, -2, -119 in descending order.\nAnswer: 4, -2, -4, -119, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -36*f + 99. What is the remainder when j(1) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 125 - 121. Solve -2 + g = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**2 + 18*h + 8. What is o(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 AM and 9:56 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 10 = -2, f + l = 5. Does 17 divide ((-31)\/(-3))\/(f\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 95119648 to the nearest integer?\nAnswer: 9753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*m, -5*l + 9*l + 2*m + 8 = 0. Are l and 2\/229 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19385.\nAnswer: 5, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -41, -32, -23, -20, -29?\n\"Answer: -w**3 + 6*w**2 - 2*w - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8457*x*y + 89*x + 4112849*y with respect to x.\nAnswer: 8457*y + 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.6552698 litres?\nAnswer: 655.2698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100081090*-0.9.\nAnswer: -90072981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 PM and 4:48 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2047448 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 4*o - 5*d, o = -3*d - 6 - 1. Suppose -4*p + 2*p = -o. What is the second derivative of 3*g - g**4 + g**4 - 5*g - 10*g**p wrt g?\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 58\/5, 0.06, 3\/5, 499, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -17.6064841 to three dps.\nAnswer: -17.606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00644276189 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -118*k**2*m**3*s + 15*k**2*m*s - k*m**3*s + k*m**2*s + 2*s wrt m.\nAnswer: -708*k**2*s - 6*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1258 is divided by 455?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0795452689 rounded to 3 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-8)\/((2\/(-4))\/1). Let k be 0*(-4)\/(-3 - 1). Suppose 4*d + k*d - 5*s - 463 = 0, 4*d - 451 = s. Calculate the greatest common divisor of d and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2455407 * 2.9.\nAnswer: -7120680.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2 + 91*u + 435. Calculate the remainder when a(0) is divided by 244.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/193680 and -119\/4842.\nAnswer: 193680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-63) + (-156)\/(-315).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 47*s + 405 + 18 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3624 + -3563. Which is the biggest value?  (a) -6  (b) 1\/5  (c) 0.5  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*x - 37*x - 5 = 0. Put -3, -0.5, x in increasing order.\nAnswer: -3, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 277749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.05 + -9219\nAnswer: -9219.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -255, -408, 461, 3270, 8937, 18380?\n\"Answer: 153*l**3 - 407*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 27, 303, 761, 1401?\n\"Answer: 91*n**2 + 3*n - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 95.96 to zero dps.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4130604 is divided by 1376863?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (148 + 30 - 103) + -72?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000011377 to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o + 25. Let q be x(8). What is the third derivative of -q*n**4 - 11*n**2 + 0*n**4 + 9*n**4 wrt n?\nAnswer: -192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-2)*6\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 36*w - 396. Let a be u(11). Let m be (-1 - a)\/((-14 - -7) + 8). Sort -34, -3, m in descending order.\nAnswer: m, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*f + 3*f + 0*f + (-2*f + 2*f - f)*(3 + 0 - 1) - 1 + 1 + 2*f + (2 - 2 + 2*f)*(-6 + 4 + 6) - 1 - 42*f + 22*f + 23*f to q + t*f and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + d)*(-65 - 29 + 24 + d)*(-1 - 4 + 3).\nAnswer: -2*d**2 + 140*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.21*0.2\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (5*(sqrt(4800)*5 + -5)*6)**2.\nAnswer: -1800000*sqrt(3) + 108022504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -34*v**3 - 16*v**2 - 16*v - 8. Let b(l) = 11*l**3 + 5*l**2 + 5*l + 3. Let r(s) = 16*b(s) + 5*o(s). What is the first derivative of r(g) wrt g?\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -512, 30, 486?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.838 - 0.837998628. What is d rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/68 and 33\/104?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 35462 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8.64, -14, -0.5, 214 in decreasing order.\nAnswer: 214, 8.64, -0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -4*m, 0 = m + 3*p - 0*p - 5. Let o be (0\/(-7))\/(-2 + m). Solve 4*q + o*q + 12 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 92.04646 hours?\nAnswer: 331367256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 64\/7 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(13) - (sqrt(13) + (sqrt(13) - (-3*sqrt(117) + sqrt(117))**2))).\nAnswer: -sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times -2.533?\nAnswer: -1.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + 3. Let j(x) be the first derivative of 5*x**2\/2 + 2*x - 7. Let b(i) = -16*i - 6. Let l(w) = 3*b(w) + 10*j(w). Give l(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**4\/3 - 4*j**3\/3 - 2*j**2\/3 + 4*j\/3.\nAnswer: 2*j*(j - 2)*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100 = -4*b - 4*r, 20 + 27 = 3*b - 4*r. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (160\/6)\/((-5 + 6)*27\/486) and 462?\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (54\/(-5) + 0)*-5. Suppose -8 = -p + z. Suppose 2*v - p = -0*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*u - 17*u + 48*u - 838*u**2 - 2*u.\nAnswer: -838*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v = -2*h + 4*h + 2, -3*h = 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11264 and 195096?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of -q**4\/12 + 5*q**3\/6 + 7*q**2\/2 - q. Let t be s(5). Suppose -f + t = -6. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 67963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 5 - 35 = 0. Suppose -5*w - u - u + 17 = 0, 0 = -5*u - o. Solve w = 3*s + 14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 0.1, 0.5, 12, -4\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccuuckczkzzzzkk. What is prob of picking 2 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.52  (b) -0.854465  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 9160 divided by -195?\nAnswer: -1832\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(135)\/sqrt(180))\/(sqrt(72)\/(1*(sqrt(32)\/sqrt(4) + sqrt(8)))))**2*-3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 - -2 - 4 - (-14)\/2. Let g(v) = -v**3 + 6*v**2 - 4*v + 2. Calculate g(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -11  (b) -0.1767  (c) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 k when three letters picked without replacement from tzbbkbkzbzzkazzzzzbz?\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206 is divided by (680\/16)\/(125\/600).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -181212 > -181228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4794500 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-5)*(-88315)\/(-3117)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-8) - (-676)\/16. Suppose -22 = 5*n - y. Let t be 30\/(-9)*6\/(-4). Sort n, -2, t in ascending order.\nAnswer: -2, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*j + 28*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1872, -3738, -5608, -7482, -9360, -11242?\nAnswer: -13128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2737 and 9265.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 + 4)*50\/29280*8*(-6)\/10.\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4108)\/237*(-40)\/(-20)*(-2)\/(-64)?\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 809*l + 578*l**2 - 1657*l + 848*l.\nAnswer: 578*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 13612421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 divided by 56582?\nAnswer: 5\/28291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-19)*k**(-6\/13))\/(k**19*k*(k*k*k**(4\/17)\/k*k)\/k) assuming k is positive.\nAnswer: k**(-8994\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2 - 2*b + 5. Let n(j) = -4*j**2 + 6. Let h(d) = d**2 - 1. Let i(r) = 5*h(r) + n(r). Let c(x) = -2*i(x) + q(x). Let z = 3 - 7. Calculate c(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -11 - 9*o + o**3 - 6*o**2 + 0*o**2 - 2*o**3 + o**2. Let p be y(-6). Let h = -10 + p. What are the prime factors of h?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 - 27*a**2 + 60*a + 46. Calculate o(-29).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2\/11, 844.6 in increasing order.\nAnswer: -4, -2\/11, 844.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 40 - 40.2. Let j = 0.1 + s. Let z = -943 + 943.1. Which is the third smallest value?  (a) -3  (b) j  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3466546192 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 233911871.\nAnswer: 233911871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 116 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2912 by 3758.\nAnswer: 1456\/1879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01513 to 4 dps.\nAnswer: 0.0151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*x - 164 = g, 4*x + 3*g - 53 = -154 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the second derivative of -f**4\/9 - 8000*f**3\/9 - 8000000*f**2\/3 + 8276*f. Factor c(d).\nAnswer: -4*(d + 2000)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - ((-1 - 0) + -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (19 + (-21 - -8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 876 - 521. Which is greater: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c = -19*q + 24*q, 3*q - 4*c + 21 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -37*w**2 + 5*w + 20. Let h be m(-4). Let j be (111\/h)\/((-1)\/(-4)). Which is greater: j or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -151088 + 1359794\/9. Factor 5\/3 + h*y - 1\/9*y**2.\nAnswer: -(y - 5)*(y + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16\/209 + 884\/627. Factor 0*y - p + 4\/3*y**2.\nAnswer: 4*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25.8673*-66\nAnswer: 1707.2418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 2*d - 263 = 0, -23*r + 207 = -21*r - 5*d. Solve r*m - 135 = -772 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 23.6 * 8.\nAnswer: 188.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -3*f**3 - 22143*f**2 - 22140*f = 0.\nAnswer: -7380, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102939086?\nAnswer: 2, 61, 843763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13989176\/1317 + -10622. Let s = 69823\/14487 - r. Find the common denominator of s and -36\/47.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(125) + -2 + sqrt(125))**2.\nAnswer: 60*sqrt(5) + 1129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*i + 1092 = -5*i. List the prime factors of i.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 - -21. Suppose 0 = -4*w - y, -2*p + 2*w = -7*p + 19. Let c = -6.4 + 6. What is the second biggest value in p, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-five quarters of a micrometer in nanometers?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3323 (base 5) to base 14\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 2*h**5\/13 + 11366*h**4\/13 + 56786*h**3\/13 + 34058*h**2\/13 - 56788*h\/13 - 45424\/13 = 0.\nAnswer: -5678, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2*v - 4. Let i be j(-3). Suppose 0 = i*l + 2*b - 2, 2 = l - 2*l + 2*b. Let z = 1.3 - 1.1. What is the closest to l in 2\/13, 1, z?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 27, 57, 99, 153, 219, 297?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 13  (b) -3\/5  (c) 1\/3  (d) -214  (e) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m + 3*a + 7 = 0, -4*m - m - 2*a = -10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 436435*d + 6546502. Calculate n(-15).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 greater than 287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (4 + -4*(sqrt(2448) + 1)*2 + -5 + 4)**2.\nAnswer: 960*sqrt(17) + 156695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 0*w + 2*w - 5, -w = -4*u - 7. Let r(k) = -2*k**2 - 6*k**2 - 4*k + 2*k - 1. Calculate r(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-12)\/(-10))\/((-96)\/320). Let p(k) = -36*k + 26. Is p(x) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9 + 44*b + 5 + 5 + 8 - 5 to u*b + h and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 + 33*g**2 + 651*g + 347. Calculate i(47).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 517 and 1639?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 88.49765 years to months.\nAnswer: 1061.9718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 227*d**3 - 5 + 6 + 167*d**3 + 633*d**3 + 403*d**3.\nAnswer: 1430*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, -5\/2, 3, -4, 16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/24 and -113\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (70 - 78) + (-1 - -2 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15701939 to the nearest integer?\nAnswer: 3963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/u**(-8\/11)*u\/(u\/(u\/u**(-7\/3)*u))*u assuming u is positive.\nAnswer: u**(233\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 3*d**3\/5 + 115374*d**2 - 1730631*d\/5 + 1153758\/5 = 0?\nAnswer: -192293, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(28) - (sqrt(7) + 1 + 5).\nAnswer: -6 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(1\/14)*a)\/a*a*a**10)\/(a**(-1\/18)*(a**(-1\/2)\/a)\/a) assuming a is positive.\nAnswer: a**(1717\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 361 - 357. Let n(h) = h**2 + 72*h + 137. Let f(b) = -36*b - 68. Let r(t) = y*n(t) + 7*f(t). Find i such that r(i) = 0.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8170 and 306850.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -0*a + 3*a - 8, h - 4 = -2*a. Let i be a\/14 + 15\/21. Find the first derivative of 1 + 0 - 2*b**3 + i wrt b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28*q + 18*q - 84*q - 2*q**2 - 138*q to w*q + s*q**2 + v and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 892.635 + -2.435. What is p rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 1 - 3. Let w be y\/(8\/(-3) - -3). Suppose 2*i - w*i = -64. Solve 2*q + 2*q - i = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -77908 not equal to -77908?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, 900, 3, 18, -4 in decreasing order.\nAnswer: 900, 18, 3, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*j**2 - 19*j**2 + 48*j**2 - 16*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*h - 13653*j + 13654*j = 189, -2*h + 71 = 2*j + 13 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + -3434?\nAnswer: -3433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, w: 2}. Give prob of sequence yyw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*j - z, 4*j + 4*z - 14 = 2*z. Suppose 4*p = j*c + 132, -2*p = 2*c - c - 56. Let w be p\/132*(-3 + 237\/75). Are 0 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -22*a + 169. Let u be j(8). Let v(o) = 14*o**3 + 2*o**2 + 7*o - 7. Let r(i) = 7*i**3 + i**2 + 3*i - 3. What is u*r(k) + 3*v(k)?\nAnswer: -7*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 123501.2 decades to years.\nAnswer: 1235012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/2, -0.1, -0.029, -64, -0.091?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 542.8809mg to kilograms.\nAnswer: 0.0005428809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + 464964?\nAnswer: 464967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 714 and 366823450.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -ac - 2?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -n + g - 5, -2*g = 6. Calculate the common denominator of n\/(-6) - (-109)\/(-15) and 48\/13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o + o**3 - 2*o + (0 + o - 1 + o)*(4*o**2 + 9*o**2 - 3*o**2).\nAnswer: 21*o**3 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (-2)\/(-1) - 1\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3652 + -2462. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 - ((-8)\/2 - -3). Find the second derivative of 3*j + 32*j**5 - 35*j**c - 20*j**5 wrt j.\nAnswer: -460*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -2*p**2 + 23*p + 870. Calculate v(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/21 or -0.0622?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - (-1)\/4) + (-1131)\/(-2340)*-3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -171 + 175. Find the third derivative of -5*o**r + 397*o**3 - 57*o**2 - 390*o**3 - 10*o**2 wrt o.\nAnswer: -120*o + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 18*x - 12. Determine p(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -18 - -6 - (-108)\/(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5960253 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -4*l + 8. Let q = 130 + -128. Let p be s(q). Suppose 4*i - 4*z - 164 = p, -4*i = -6*i - 3*z + 57. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + k = 0. Let f be (-1)\/(8\/422) - 3. Let r = f - -56. Which is smaller: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2353.8529 + -2354. Round o to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**3 + 240*a**2 - 492*a + 248.\nAnswer: 4*(a - 1)**2*(a + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of -11*u**4\/24 - 9*u**2. Let a(j) = 0*j - j + j - 2*j. Calculate a(i(k)).\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u + 629 + 24151 = 0. Is u a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 8*y**2 + 24*y + 81. Determine z(-4).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 5*v + 835, 814 = y + 3*y + 2*v. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 74*a**2 + 694*a. Let g(b) = -3*b. What is g(f(k))?\nAnswer: -222*k**2 - 2082*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1027\/5, 1, -1\/12, -5, -18 in decreasing order.\nAnswer: 1, -1\/12, -5, -18, -1027\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(((q*q**(2\/3))\/q*q)\/q)*q*q*q*q**(-3\/4))**(2\/51))**(-2\/29) assuming q is positive.\nAnswer: q**(-31\/4437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 take away -20.2?\nAnswer: 19.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 - 17*h - 55. Let t be q(20). Solve 4*o - 4*p + 11 = -p, 5*p - 20 = t*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13923?\nAnswer: 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1140915, -1140896, -1140865, -1140822, -1140767, -1140700?\nAnswer: -1140621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*i - 677 + 131 = 0. Calculate the greatest common divisor of i and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*z = 40*z - 4190400. What is z rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 57266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 + 90 = 4*n - 2*t, -5*t + 3 = n. What is the lowest common multiple of 12 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9\/2876 - 5923\/54644. What is the smallest value in 0.5, f, -80, -0.3?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - y + 5 = 0, -3*j - 2*y + 3 = -4. Let k(q) = -2*q**3 - q**2 - q - 4. Let c(x) = -3*x**3 - 3*x**2 - x - 7. Let u(g) = 3*c(g) - 5*k(g). Give u(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 55\/2 of a tonne?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v - 9 + 49. Suppose -g + 4 + v = 0. Suppose -73 + 409 = 8*h. What is the greatest common divisor of g and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14 and 219712682.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2036.9994636 - 2037. What is b rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t, 1 g, and 1 j when four letters picked without replacement from {z: 2, j: 3, g: 9, t: 4, s: 1}.\nAnswer: 27\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -107 - -48. Let d = 58.97 + f. What is d rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*u**2\/5 + 6*u + 33\/5 = 0. Calculate u.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 28 - 1682688?\nAnswer: -1682660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 359*o + 348*o - 623 + 245 - 710*o to a*o + c and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -157*x**2 + 3*x - 12. Let m(q) = 5*q**2 + q + 3. What is k(r) + 3*m(r)?\nAnswer: -142*r**2 + 6*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -f + 5*f - 40, -15 = f - 5*t. Let s(b) = -4*b + b - f + 7 - 3*b + b**2. Let o be s(6). Is o greater than 9\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u - 8. Let r be v(-10). Let w be (r\/4)\/(6\/84). What is the third derivative of w*q**3 - 3*q**4 - 7*q**3 - q**2 wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1404928 and 119952?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 83*c**3 - 2*c**2 - c. Is 34 a factor of x(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 + 10*x + 8. Let b(z) = -5*z + 5. Let t be b(3). Let n be j(t). Solve -n = 5*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -2*c + 1030 - 56, 2*c + 656 = 2*z. What are the prime factors of z?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*y - 3*z - 256257, -5*y - 137006 = -z - 350561. What are the prime factors of y?\nAnswer: 2, 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 320 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/((-26)\/(-10) + -2). Suppose -g*v + 4 = -3*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -565151144.4 - -0.3.\nAnswer: -565151144.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = i - 10. Solve 5*v = 4*j - i, 23 = -4*v - 3*j + 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 115 is divided by 34 - (252\/(-7))\/3.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/18 + (16\/(-72))\/((-4)\/(-6))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t + 7. Let x(s) = s + 1. Let z(i) = a(i) - 3*x(i). Let n(k) = -17*k**2 - k + 2. Let o be n(1). Let f = -10 - o. Give z(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of s**4\/12 - 4*s**3\/3 + 5*s**2 - 191*s. Suppose 4*j = 31 + 1. What is y(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1162.1 from -5576225.\nAnswer: -5575062.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -28.75708654 to 1 decimal place.\nAnswer: -28.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23980 - -23997. Calculate the remainder when 7204 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/16, 0, -0.063068, 4, -1\/5 in increasing order.\nAnswer: -1\/5, -0.063068, 0, 3\/16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 3634.\nAnswer: -3\/3634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -23 * 2\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 68871530.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 552.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - 0 - (-15)\/(-12). Let q(l) = -l**2 - 6*l + 3. Let w be q(-6). Suppose 2 + 1 = w*m. Is a != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**3 - 832*b**2 - 24869*b - 86100 = 0. Calculate b.\nAnswer: -25, -4, 861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/3 + 174\/(-9). Let x = -17 - y. Let h be (-4)\/(-9) + (-2)\/3. Which is the smallest value?  (a) x  (b) h  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/1251600 and 187\/300.\nAnswer: 1251600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5831470?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d + 35. Calculate v(12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**2 - 92*z - 992.\nAnswer: 4*(z - 31)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -63 - -32. Let w = 31.0000067 + x. What is w rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + 0 + sqrt(17))*5 + -1 + 2 + 1 + 4.\nAnswer: 6 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 + f**2 - 7. Let s = -1608 + 1608. Calculate r(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 260*q**3 + 152*q**2 - 140*q - 32.\nAnswer: 4*(q + 1)*(5*q + 1)*(13*q - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, 2\/9, -6075\/1696?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6349 - -6344 - (1 + (-2 - -2 - -18)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.3 and -3511672026207.\nAnswer: -3511672026207.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -504 + 531. Suppose 0 = -18*c + g + 9. Factor 0 - 2\/5*y**c - 8\/5*y.\nAnswer: -2*y*(y + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -356739, -713355, -1069971, -1426587?\n\"Answer: -356616*b - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*v**2 - v**2 + 512 + 444 + 7*v**2 to the form j*v + p + q*v**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**3\/3 + 877076*n**2\/3 - 3508328*n\/3 + 3508336\/3 = 0.\nAnswer: -438542, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 5*k + 7 = 3*v, k + 11 = -4*v. Is 10\/(-15)*57\/v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -482?  (a) 2\/3  (b) -1.6  (c) 4  (d) -133\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 4 - 0. Let a = b - 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 342 divide 133359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (9\/5)\/(6\/(-30)). Let u = a - -19. Solve -5*k - i - 13 = u, 5*i = -4*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4926 = -3*b + 3*i, 4908 = 5*b - 2*b + 3*i. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rceriui. Give prob of sequence ur.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -10*f + 6. Let q(a) be the first derivative of a**2\/2 - a - 845. Give -d(k) - 8*q(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u**4 - 288*u**3 + 210063*u**2 + 1482048*u + 1271700 = 0. Calculate u.\nAnswer: -314, -6, -1, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(((2*sqrt(360))\/(sqrt(72)*-1 - sqrt(8)) + 4 + (sqrt(60)\/sqrt(3)*4)\/sqrt(4))*2)**2.\nAnswer: -945 - 400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 PM and 5:59 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -156 + -186. Round l to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 311696285 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -219*y + 214*y = -5*u, -y = 3*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 653*o = 16636 + 12749 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 66 - 63. Let c = g - -17. Let f(y) = -y**2 + 19*y + 21. Let b be f(c). Which is smaller: -1\/12 or b?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215555320\/7 <= 30793616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*w**4\/5 + 83365404*w**3\/5 - 289574607670128*w**2\/5 - 83365404*w\/5 + 289574607670134\/5 = 0. Calculate w.\nAnswer: -1, 1, 6947117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57, 122, 187, 252?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**3 + 3*p**3 + 0*p**3 + (0*p**3 + p**3 + 0*p**3)*(4 - 2 - 3) + p - p - 2*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - b + 3*b - 56 = 0, -b - 62 = 4*z. Suppose -2*k - 2*s = 2*s + 12, -5*s - 15 = 2*k. Suppose -56 = 4*p - k*p. Which is bigger: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - c = 2*p - 14, 12 = -4*c. Factor u - 5*u**2 + u + p + 6*u**2.\nAnswer: (u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -91 + 113. Let u(f) = -f**2 + 5*f + 4. Let r be u(5). Suppose 6*k - s = r*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14 - -14.00000182. Round m to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2 - 21369*s + 10684.\nAnswer: (s - 10684)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9 or -221\/12?\nAnswer: -221\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 - (1 - (0 + 0)). Suppose -m - m + 10 = h. Suppose s - m*s + 4 = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 77 and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -4*f, 8*g + 38 - 18 = -2*f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -197 = 95*o + 268 + 218 - 2013 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92054?\nAnswer: 2, 46027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17529 + -17524. Let d(u) be the second derivative of -37\/20*u**p - 34*u + 0 + 0*u**3 - 7\/6*u**4 + 0*u**2. Find the third derivative of d(h) wrt h.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 257780?\nAnswer: 2, 5, 12889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 44*h**2 + 68*h + 149. What is the units digit of q(27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5209, 9144, 13081, 17020, 20961, 24904, 28849?\nAnswer: 32796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3515 + 314230?\nAnswer: 310311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 0*s**2 + s - 5*s**2 + s**3 + 5*s**2 - s**2 - 5. Suppose -2*a = -5*a - 6, 3*a = -5*m - 6. Suppose 2*n + 3*n = m. Calculate i(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -10\/47?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 110111101110 (base 2) in base 9?\nAnswer: 4802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 31994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 13772243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -286, -1142, -2586, -4630, -7286, -10566, -14482?\n\"Answer: -2*g**3 - 282*g**2 + 4*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15725*v - 23677.\nAnswer: -15725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -5\/4, 24, 0.3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98040 is divided by 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38817 = 69*w - 145767. Solve -1546 + w = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.369189509 and 3113.\nAnswer: 3112.630810491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2008634 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 13. Let t(l) = -k*l**2 + 10*l**2 + 5*l + 3*l**3 + 0*l**3. Let x(b) = b**3 + 2*b. Calculate 3*t(f) - 7*x(f).\nAnswer: 2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 5*j**2 - j - 1. Let s be z(-1). Let o be (-2 + 6)\/((-316)\/(-79)). Put s, 2, o in descending order.\nAnswer: s, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:26 PM and 11:48 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (84\/175*-5)\/((-14)\/20*(-25)\/(-350)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n - 9. Let l(b) = b**2 - 3*b + 2. Let q be l(3). Suppose 0 = 3*x - 5*x - q*x. Give t(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oeee when four letters picked without replacement from eoeeeeeeo?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 8, 12, 3, 6.\nAnswer: 3, 4, 6, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -371.6976 to one decimal place.\nAnswer: -371.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-63 - -73) + (-1209)\/121)\/(12\/(-24)).\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 405937760?\nAnswer: 2, 5, 2537111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 300362 and 28526.\nAnswer: 1678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -144 = -9*b - 171 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -462 * 5.91.\nAnswer: -2730.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 750466412 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21472 divided by 1342.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -66768\nAnswer: 1\/33384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 4*c - 69 = -18, f - 5*c = 16. What is the greatest common factor of 88 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 23191685031 from 5.\nAnswer: -23191685026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 47636097 a multiple of 586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 70839169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -244 = -40*v + 396. Suppose -913 = v*y - 9313. Calculate the greatest common divisor of 21 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17 - 15. Suppose 0 = -d + c*d. Suppose d = 4*k, 4*a + 0*k + 5*k - 4 = 0. Solve -a = -b + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5, 30, -23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 15 = 5*h, 2*h - 4*a - 9 - 3 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - -6b?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of -5*t**3\/3 + 37*t**2\/2 - 37*t - 1. Let h(x) = x**2 - 9*x + 9. Let k(m) = 9*h(m) + 2*j(m). Is k(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1259196 or 1259198?\nAnswer: 1259198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -229 - 79 = -4*p. What are the prime factors of p?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 2881968689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4 = -30. Let x(k) = -k**3 + 12*k**2 + 12*k + 18. What are the prime factors of x(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 138\/(-30) - (-1 + 2\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -61.7553188 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 72\/63 - (-6 + -4 - 13243\/(-532)).\nAnswer: -55\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -6171723, -6171721, -6171707, -6171675, -6171619, -6171533, -6171411?\n\"Answer: f**3 - 5*f - 6171719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 43\/261514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 55*f**3*m**3 - 20112*f**3*m**2 + 2*f**2*m**2 + 14*f*m**3 + 15*m**3 wrt m.\nAnswer: 330*f**3 + 84*f + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69852 is divided by 3288.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 275727 - 16347?\nAnswer: 257360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 204864, 204866, 204906, 204990, 205124, 205314, 205566?\n\"Answer: k**3 + 13*k**2 - 44*k + 204894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of -8\/15*k**3 + 0*k - 3\/20*k**4 - 7 + 3\/10*k**2. Find v such that c(v) = 0.\nAnswer: -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, 1, 0.1, -33.\nAnswer: -33, 0.1, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 5 - 3)*(-3 + 0 + 5) + 5 + 1 - 5)*((-v - v + v)*(v**2 + 2*v**2 + 3*v**2) + (-5*v**3 - 4*v**3 - 2*v**3)*(-1 - 1 + 1)).\nAnswer: 25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4108311 is divided by 684697.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/2  (b) 13  (c) -1674\/65  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, 1, 2\/7, 0.04, -2.4, -23?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7008190772893.0000188 - 7008188823440. Let j = 1949458 - i. Let c = -5 + j. What is c rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.9 - -2.32. Let z = m - 8.5. Let y = z + 0.08. Which is the smallest value?  (a) 0.2  (b) y  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 28\/9 and -137\/276.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 6*h - 2*h + 0*h. Let u(v) be the second derivative of -v**4\/24 - 9*v**2\/2 - v. Let t(s) be the first derivative of u(s). Calculate t(x(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 16196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 - 13*t**2 + 11*t + 17. Let x be j(12). Suppose 4*p + a = 205, a + 319 - 65 = x*p. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - -9. Suppose l - 10 = t - 4*l, 4*t - 5*l + h = 0. Suppose -660 = -t*k - 4*k. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + u + 4 = 4*u, 2*k - 2*u + 8 = 0. Let y = k + 3. Is 455\/10 - y\/4 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h + 2*h - 10*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.03 * 0.6.\nAnswer: -0.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13.22328 - -50.8678. Let l = 92.09085 - u. Let o = l + -28. Round o to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - 21) + 15 + (-12 - 34)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of 2*f**5\/3 - 3*f**4\/8 - 5*f**3\/2 + 13*f**2 - 8*f. Is d(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -98*y + 29*y + 32*y + 35*y. Let d(q) = -19*q**2 + 6*q. Determine d(b(g)).\nAnswer: -76*g**2 - 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the third derivative of -97*j**5\/60 + 35*j**4\/2 + 81*j**2. What is the second derivative of d(p) wrt p?\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 - 11*f**2 + 6. Let x(s) = -s**3 + 10*s**2 - 5. Determine 6*c(b) + 7*x(b).\nAnswer: -b**3 + 4*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -19247.84413 + 1785\nAnswer: -17462.84413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3\/7, 1\/13, -3\/4, 0.4, 171?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 6*p**2 + 39*p - 8. Let v(l) = -2*l**2 - 13*l + 3. Suppose 4*t - 31*w = -29*w - 24, 0 = 5*t + 5*w + 60. Determine t*v(r) - 3*u(r).\nAnswer: -2*r**2 - 13*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 AM and 5:15 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2996768881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -29, -92, -269, -620, -1205, -2084?\nAnswer: -3317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u + 4*t = u + 31, 2*t = -u + 11. Suppose 0 = -0*m + 3*m - 213. Suppose p + 2*p - q - m = 0, 4*p - 73 = -u*q. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cfcc when four letters picked without replacement from cfccccfccccffc.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 15 + 9 = -5*o, -4*h = o - 32. Let k be ((-10)\/h)\/(7\/(-84)). Calculate the greatest common factor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 18559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 198.7833903 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in thirty-one halves of a milligram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 40\/(-2)*24\/(-15). Suppose 0 = -66*m + 71*m + 100. Let t = c + m. Solve 0*y + t = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7467 - 3?\nAnswer: -746a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, a: 2, i: 3}. What is prob of picking 3 i and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 270 = -2*i. Suppose -5688 = -137*k + 6642. Is k < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004819 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 323?  (a) -1\/3  (b) -0.5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-5)\/(-15))\/((-2)\/18). Let b(o) = 1. Let t(l) = -3*l - 3. Determine j*b(g) - t(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*3\/(3 - 0). Let s(z) = -20*z**3 - z**2 - 2*z - 1. Let l be s(h). Calculate the greatest common factor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the third derivative of w**6\/120 + w**5\/6 - 5*w**4\/12 + w**3\/6 + 9*w**2. Let l be j(-11). What is the units digit of 160\/3 - l\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -24, -50, -98, -174, -284?\n\"Answer: -h**3 - 5*h**2 - 4*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24680 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4609474 divided by 6529.\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9d248 - 3?\nAnswer: -9d24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 96562028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -2.2, -3\/4, 3, 0, -1 in increasing order.\nAnswer: -2.2, -1, -3\/4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-63*q + 88*q - 58*q + (-2*q + q + 2*q)*(1 + 3 - 6))*(-5*q**2 + 0*q**2 + q**2) to the form m + j*q + l*q**2 + a*q**3 and give a.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 30008*q**2 - 2*q + 425087 with respect to q.\nAnswer: 60016*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 41\/(8610\/(-120))*10\/4.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 5*d = -12. Let h = d - 6. Let g = h + 17. Solve -4*x - 5*c + g = 0, -2*x + c - 3 = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + -23. Is 0 - j - (-2 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7496297263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - -7. Let o = -3 + a. Suppose 11 = k - 2*z, o*z = -5*k + 3*z + 90. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*h + 4 - 4)*(-1 + 6 - 3).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 10516 - -4?\nAnswer: 1051a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 4*p - 12 = 0, a + 9*p - 18 = 5*p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -18*d**2 + 2*d - 9. Let j be u(-7). Let c = j - -6350\/7. Let z = 68\/35 - c. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.02 * -42.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 8366.\nAnswer: -1\/8366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-8)*u*u**(1\/6)*(u*u**(-4))**(-27\/2))**(-7\/5))**(-19\/4) assuming u is positive.\nAnswer: u**(13433\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + x = 3*x - 1106, 431 = 2*j - 3*x. Let o be 1\/(664\/j - 3). Suppose -z + o = 4*z. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19849\/55970 - -86\/965. Find the common denominator of 83\/58 and g.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 4. Suppose 0 = -5*v + j*f - 6*f - 81, -3*f = -9. List the prime factors of 2*(v\/(-4) - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.8 and -6.88.\nAnswer: 19.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 170 - -41. Let r = -326 + c. Let o = 114.951 + r. What is o rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 35 - 35.5. Let j = 9.9 + -10. Put -0.2, j, i in decreasing order.\nAnswer: j, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20 + 20. Suppose -r - 2*r + 7 = q, -12 = -4*r - 2*q. Solve 0 = u - y*u + r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 841, 1814, 2895, 4138, 5597?\n\"Answer: 9*x**3 + 910*x - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 591*d + 11254. What is y(-19)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 3*u - 60, -l + 7 = -u + 27. Let c = u + 1. Let v = 38 - c. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 181723.2g?\nAnswer: 181723200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 + 13*x**2 + 12*x + 33. Let p be b(14). Solve -14 = -p*q + q - h, -h = -4*q + 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -39157457 not equal to -234944749\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 + 3*t - 112. Determine o(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*j**4 - 1589448*j**3 - 24473124*j**2 - 29239840*j + 26697552 = 0 for j.\nAnswer: -79457, -14, -2, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 1136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 24350927 to the power of 1\/2, to the nearest integer?\nAnswer: 4935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -29*-7.658225\nAnswer: 222.088525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1113, -2199, -3287, -4377, -5469, -6563, -7659?\n\"Answer: -u**2 - 1083*u - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 393777 is divided by 943.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = o + 5. Suppose 0 = -r - 4*r - 2*b + 13, -5*r + o = -3*b. Let n = 3 - -11. Calculate the smallest common multiple of r and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -80 - -188. Does 38 divide (10 - 5) + (o - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -6*s + 43. Let u = s - 3. Sort u, 0, -4.\nAnswer: -4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 270912209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w = w - 300. Let i be (-2)\/7 - w\/(-35). Let g = i + 0. Is -1 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/64792 and -1\/12460?\nAnswer: 323960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -331876091 by 10931.\nAnswer: -30361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -139 + 56. Let g = s + 116. Which is the closest to g?  (a) -0.4  (b) -1\/7  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/(-30) - (-62)\/(-10) - 0. What is the hundreds digit of ((-1593)\/w)\/(13\/26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1440 and 972?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 14803398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v = -63*v + 22660. What are the prime factors of v?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2554, -8387, -17498, -29887, -45554?\n\"Answer: -1639*c**2 - 916*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 1 = 13. Suppose -3*v = -3*x + 6, -t*v - v + 24 = 4*x. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 9*i + 22. Let x(f) = -5*f - 11. Let d(q) = -q**2 + 4*q + 5. Let r be d(4). Let a(t) = r*x(t) + 3*y(t). Let w(j) = -2*j. What is w(a(m))?\nAnswer: -4*m - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - (-4 - 0)) + -49 + 34 + -19 + 11?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwoowo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 3*l**4\/2 + 22643*l**3\/2 + 42744319*l**2\/2 + 71192737*l\/2 + 14235529 = 0?\nAnswer: -3773, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z + 37. Let v = 1 - 1. Is b(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7766 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (4 - (3 - 9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 20 = 4*n. Let h(l) be the second derivative of -l**4\/12 + 5*l**3\/6 + l**2\/2 - 86*l. Let c be h(n). What is the third smallest value in -3, c, 3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -113210 (base 4) in base 14?\nAnswer: -79a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -58*i**6 + 18*i**6 - 80*i**6 - 17*i**2 + 2*i wrt i.\nAnswer: -14400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhhhhhthhhtthhthhh. What is prob of sequence hh?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -4618, -9231, -13844, -18457, -23070?\n\"Answer: -4613*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -45.506 - -0.544. Let o = -45 - p. Let d = -0.037951 - o. Round d to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 15\/99 + 3\/(-9). Let f = 45 - 43. Which is the nearest to 0.5?  (a) f  (b) -5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12648414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/((-1 - (-4 - -5)) + 1). Solve o = -5*p - 0 + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z + 20 = 5*z. Let u be -11993 + z + 6\/(-2). What is u rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 56 = 2*g + 4*n, 3*g = 5*n + 84. Let u = 31 - g. Suppose -136 = -5*j + h, 5*j + 22 = u*h + 160. What is the lowest common multiple of j and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - 3. Sort 1, -2, q in descending order.\nAnswer: 1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -469 + 411 + 18*m + m. Let q be k(25). Suppose 117 = -10*i + q. Calculate the highest common divisor of i and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 132186?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 9, t: 4, q: 4, l: 2}. Give prob of sequence tsl.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -15416777\nAnswer: -2\/15416777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 14108 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (9*l**2 - 18*l**2 + 8*l**2)*(l - 3 + 3) in the form m*l**3 + d*l**2 + h*l + o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**2 + 6*n**2 - 4*n**2 + n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 677*t*u**4 + 2*t*u**2 + t*u - 69*u**4 - 41497*u wrt u?\nAnswer: 8124*t*u**2 + 4*t - 828*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/13  (b) -4\/95  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 10, a: 2}. What is prob of picking 1 a and 2 w?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 95000016079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000004708901 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6.1 + 125.9. Let u = 197 - g. Let v = 64.9973 - u. Round v to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 8301 = 5*n, 0 = -3*n + 7*t - 3*t + 4967. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 q, and 1 v when three letters picked without replacement from rrvrvvvqvqrrqvvvrrv?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, o: 3}. Give prob of picking 3 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2364 = 19*w - 2538. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*i**3 - 10*i**3 + 9*i**3 + 21*i**3.\nAnswer: 29*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 - 17*g**2 - 18*g + 4. Let i = 2 + 0. What is the lowest common multiple of j(18) and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2\/21 - 35204*g\/21 - 154915202\/21.\nAnswer: -2*(g + 8801)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-3 + 0 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 - 59. Let v = 38 + a. Solve 0 = 3*p - 2*p - v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 10:39 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -41 and 2.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -60\/119 and 81\/2.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -2352*i + 4. Let w(m) = 3532*m - 6. Give 7*a(j) + 5*w(j).\nAnswer: 1196*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -234673 + 20022 = -49*n + 89884. Is 22 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 20307 + -20021. Calculate the remainder when 67780 is divided by c.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39152929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4679 - 1?\nAnswer: -1.4679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 210*d - 1652. Suppose 0*u = -3*m + 4*u + 766, 4*u = -5*m + 1234. Calculate the remainder when m is divided by b(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m**3 - m**3 + 0*m**3)*(-2*m**2 + 2*m**2 + 2*m**2) - 26*m**5 + 16*m**5 + 16*m**5 - 2*m**2.\nAnswer: 10*m**5 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -149472, -298943, -448414, -597885, -747356?\nAnswer: -896827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1488860 and 10440?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*3\/(-21)*56\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/2*-2 + -7. Let v be b\/(-6) + 3\/9. Let i(a) = 46*a - 1. Let n be i(v). Calculate the highest common divisor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-8) - 0 - 38\/24)*440424\/(-2544672)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sh when two letters picked without replacement from {s: 2, p: 1, h: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3220442 (base 5) in base 2?\nAnswer: -1101010011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m and 1 x when four letters picked without replacement from {i: 3, k: 1, x: 1, m: 10}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24 - 61. Let s = -37.092 - m. Round s to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 0*p**3 - 5 + 4*p + p**3 + 7 + 5*p**2. Suppose 7 - 16 = 3*v. Let z be w(v). Solve -3*q + z = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 601524 and 341?\nAnswer: 601524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1364 (base 11) in base 13?\nAnswer: -a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**3 - 23*x**2 + 1. Let z be d(23). Let c(u) = -5*u - 2. Let o(b) = -119*b - 49. Let j(l) = -49*c(l) + 2*o(l). Calculate j(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000075843 rounded to seven dps?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 3*x - 15 = 0, -n + 5*n = 5*x + 16. Let s be 1920\/(-126) - 3 - -2. Let a = -46\/7 - s. Which is smaller: n or a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31 - (-15 - -30 - -15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.2244 + 0.2269871. What is p rounded to 4 dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -220 - 21?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180)\/sqrt(3)*-5 - sqrt(6000)*1)\/((sqrt(120) - 3*-1*sqrt(120))\/(sqrt(50)\/sqrt(45))).\nAnswer: -5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.4  (b) 2  (c) 1.2  (d) -4  (e) 5\/18  (f) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22212425 and 36461.\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - 983734 = -5*b - 3*d - 983715, 4*b - 4*d = -4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/7, 0.2, 1.5, 0.3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 6 + (6 - 16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1064 - 462 + 14*n - 602.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-3))\/((-98)\/((-1372)\/(-238)))?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-50)\/60 + 18\/(-27). Let w = 0.02 - -0.08. What is the closest to -1 in n, w, -0.06?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y**2 - y**3 - 3*y - 4*y**3 + 4*y + 4*y**3. Let t be d(2). Suppose -t*o = -5*n - 7 - 5, 4 = -4*o - 4*n. Solve -5*w = -4*q + 17, o = 4*q + 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11284 and 36038639.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -60897794 + -2618.74?\nAnswer: -60900412.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**10*o**5)\/(o*o**(1\/21)\/o*(o\/(o**10*o))\/o) assuming o is positive.\nAnswer: o**(545\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -4*h - 25, -2*t + 2*h - 3 + 5 = 0. Sort 1, t, -29 in ascending order.\nAnswer: -29, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8146803 grams in micrograms?\nAnswer: 814680.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1900 is divided by 613.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16438*x**2 + 16438*x**2 + 18*x**3.\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwwwwwccwwwwwcccww. What is prob of picking 4 w?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 - -6 - 3)\/((-2)\/(-36)). Suppose 3*q = -2*f + 3*f - 1, 3*q - 19 = -f. Calculate the highest common divisor of l and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -7  (b) 2\/3  (c) -1930\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(k**(-1\/19)\/k)*k)\/k*k*k*k**(2\/13) assuming k is positive.\nAnswer: k**(1286\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 14148221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -14*x**2 - 12 - 9*x**2 - 409*x + 5*x**2 + 421*x. Let v(z) = 7*z**2 - 5*z + 5. Determine -5*b(u) - 12*v(u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 477*f - 481*f + 48 = 0. Calculate the smallest common multiple of f and 9776.\nAnswer: 29328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6489.\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 - 6*i**2 - 4*i + 4. Let r be h(-6). Suppose 0*v + r = -v. Let p = v + 58. Calculate the highest common divisor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 238\/68*-1*(-42)\/(-49)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 + 12*g**2 + 12*g + 9. Calculate q(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1878 divided by 14646.\nAnswer: 313\/2441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**2 - 10923036*d + 9942726288108.\nAnswer: 3*(d - 1820506)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 2 = -2*i. Suppose -3*t - 3 = -0*t. Put -3, t, i in descending order.\nAnswer: i, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 5 = 3*j, 62 = -4*r + 42 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 - (2 - 3))*-303. Let y = -176 - w. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, y: 1, o: 1, x: 1, b: 1}. What is prob of sequence yo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 260*a = 553*a - 245*a - 1646736. What are the prime factors of a?\nAnswer: 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*q - 4*q + 1 + 14*q in the form o*q + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -43802 + 43791. Let v = 2 + 0. Suppose -2*u + 2 = -0. What is the closest to 0.1 in u, d, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u + 51 + 120 = 0. Let p = u + -94\/5. Let x = 0.357 + -0.557. Put p, x, 0.13, -1 in decreasing order.\nAnswer: p, 0.13, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1945.3 and -175380110?\nAnswer: 175378164.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g**3\/5 - 13*g**2\/5 + 32*g\/5 - 4 = 0. Calculate g.\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5552, -5506, -5414, -5276, -5092, -4862, -4586?\nAnswer: -4264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 91 - 96. Let b be (5 - f)*6\/4. Let x be 6\/9 + 179\/b. Is x smaller than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -386*k**2*n**3 - 20*k**2*n - 7073*k**2 - 338*k*n**2 + 88*n**3 wrt n.\nAnswer: -2316*k**2*n - 676*k + 528*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 135\/36 + 1\/4. Let c(x) = -x**2 - 9*x + 12. Let k be c(-9). Solve 3*o = -0*y + p*y + 16, o + k = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + (5 - 1))*(14740\/385 + -39).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, 54, 121, 220, 357?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*p**3 + 45 - 45 + 34*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 4*r**2 - 39941*r - 159794. Give z(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3205, 4797, 9101, 17473, 31269, 51845, 80557, 118761?\nAnswer: 167813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 20\/111 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(-14)*3297\/(-1570)*(-8)\/(-81)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 23 = -7*t - 4*v, 2*t - 18 = -4*v. Let r(l) = 4*l**2 + 9. Let f(h) = 2*h**2 + 4. Suppose 4 + 0 = -2*g. Calculate g*r(q) + t*f(q).\nAnswer: 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 - 2*l + 1. Let n be m(-3). Let s be (-72)\/(-9)*(-23)\/n. Calculate the greatest common divisor of 23 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((265\/(-318))\/(13\/(-6)))\/(-4*3\/(-144)).\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -123 - x**3 + 236 - 118. Let v(t) be the first derivative of -t**4\/4 - 2*t - 1. Let q(r) = -6*a(r) + 13*v(r). What is the derivative of q(z) wrt z?\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = -5*d - 15, -8*d + 118505*w = 118503*w + 24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 162, -1, 1, 4, 5 in descending order.\nAnswer: 162, 5, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3\/109 - -115\/218. Let o = t - 1\/3. Which is the nearest to -0.1?  (a) 2\/5  (b) o  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8882.825 micrograms to nanograms.\nAnswer: 8882825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6516249, -6516246, -6516243, -6516240, -6516237?\nAnswer: -6516234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, i: 7, x: 4, g: 2, z: 1}. What is prob of sequence zx?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -17645*a**2 - 2591 wrt a.\nAnswer: -35290*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/13 + 2541\/39?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1758.145 grams in kilograms?\nAnswer: 1.758145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 28 + 4*z - 8 - 9 - 9. Let g be 182\/35 + 1\/(-5). What is the remainder when a(g) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2125 - -6374\/3. Sort -128\/9, 1\/6, b, 2\/3 in increasing order.\nAnswer: -128\/9, b, 1\/6, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10110111111100100 (base 2) to base 8\nAnswer: 267744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 197\/105570 and -29\/13749906.\nAnswer: 618745770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-9)\/(-30))\/((-6)\/5)*-16. Find the third derivative of -37*a**3 + 251*a**4 - 4*a**2 + 10 - 497*a**y + 247*a**4 wrt a.\nAnswer: 24*a - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -269*m - 531. Determine v(-5).\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/6 and 43\/309.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-4))\/((-5)\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (-2 + -20 + 8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9451870 rounded to the nearest ten thousand?\nAnswer: 9450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -q - 6. Let g(a) = a**3 + 19*a**2 + 78*a + 5. Let v be g(-6). Put q, -5, v in descending order.\nAnswer: v, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.3623 + -0.344. What is n rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 - -7. Let h(i) = -20*i**3 - 7*i**2 - 5*i - 15. Is h(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3553 and 184107?\nAnswer: 59466561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(99) + -2*sqrt(99) - sqrt(11)) + (sqrt(132)*-2)\/sqrt(12))*-5 + 2.\nAnswer: 2 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 170 and 543558.\nAnswer: 2717790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 32 = -i, 10*m - 395*i - 395*i = -794*i + 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f - 16*f + f)*(3 - 3 + 1)*(-120*f + 120*f + 23*f**2 + (-2 + 5 - 4)*(2*f**2 + 0*f**2 - f**2) + 3*f**2 + 0*f**2 - f**2 + 2*f**2 + 0*f**2 - 4*f**2).\nAnswer: -330*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14 and 955962?\nAnswer: 955962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -8087 divided by 35\nAnswer: -8087\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/6)\/((-2 + -1)\/(-10863)). Let z = 2454 - r. List the prime factors of z.\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-628)\/(-785)*-5*(-4)\/8. Determine f, given that 4\/3 + 8\/3*f + 4\/3*f**d = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -677343.3 to the nearest one thousand.\nAnswer: -677000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/26 + (2046\/2387)\/((-39)\/(-72))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*f + 97*f = 165*f + 1426 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 486 - 236. Let g be (-80)\/j*5\/(-2). Which is the nearest to -1?  (a) 1  (b) g  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 10) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 1952000 to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -62601, -62625, -62649?\nAnswer: -62673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x + 3*x + 25 = 0. Let q be x\/(-5) - (-2 - 13). Let c be q*(-2)\/4*-3. Calculate the greatest common divisor of 14 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of d**7\/210 + d**6\/12 - d**5\/60 - 5*d**4\/12 + 2*d**2 + 417*d. Factor j(z).\nAnswer: z*(z - 1)*(z + 1)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5.09 - -0.09. Suppose p = -i - p + 8, 5*p - 35 = 5*i. Let r = -40 + 198\/5. Sort i, g, r in ascending order.\nAnswer: g, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*h**5*n - 24099918*h**3*n + 3*h**2*n + 2*h**2 - 19*h*n - 118*h + 2*n - 115 wrt h.\nAnswer: -480*h**2*n - 144599508*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t**2 - 19572906*t + 31924887440403 = 0. Calculate t.\nAnswer: 3262151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 - (-2)\/(-2) - -129. Suppose -2*o + 12 = 2*o. Suppose 0 = -o*x - 24 + w. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j**5\/3 - 40*j**4\/3 - 516*j**3 - 3872*j**2\/3 + 22928*j\/3 - 5824 = 0. What is j?\nAnswer: -12, -7, 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28\/9*(-54)\/(-72)*3192?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -267, -575, -1059, -1695, -2459, -3327, -4275, -5279?\n\"Answer: 4*w**3 - 112*w**2 - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 38 + -36. Solve y + 4*x = 8, y + 2*x + 0 = t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 3:26 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2322 - 10033333?\nAnswer: -10102321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 16 in -9, 10\/3, 2, 0.04?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 - 2 = 4*y. Let j be 1 - (y\/(-9))\/((-2)\/(-33)). Suppose -5 - j = -t. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8291607 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of -t**6\/72 + 19*t**5\/24 - 25*t**4\/4 + 21*t. Let x(l) be the third derivative of a(l). What is the derivative of x(d) wrt d?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 12 = 0, -2*t - 3*t - 2*v + 728 = 0. Calculate the greatest common divisor of t and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45191575 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.3753 + 0.2051. Let t = b - -0.8832. What is t rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -782123 - -782124.492054. Let z = y + -2.9921. Let q = z - -1.5. What is q rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 - 12*i**2 - 8*i + 5. What is k(-11)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, -4, 31 in descending order.\nAnswer: 31, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8123 or 184?\nAnswer: -8123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5 - 8 + 7*x**4 + 7*x**4 + 14 wrt x?\nAnswer: 56*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3970 + v**3 - 1990 - 1980.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/2288 and -23\/484.\nAnswer: 25168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -2 + 5 - (-4 + -7 + 28).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29243.\nAnswer: 29243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 6, a: 7}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -1. Let x(v) = -1. Suppose -5*c - 4*d = -5 - 72, -5*c + 71 = 2*d. Let n(g) = -2 - g + c - 7. What is l*x(k) - n(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1206553769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 162250 divided by -16225.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**3)**(2\/79)\/(q**(1\/4))**3 assuming q is positive.\nAnswer: q**(-213\/316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m + 40*m**3 - 26*m**3 + 4 - 15*m**3. Give b(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 16, 697, -13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (5 + (-3 + 2*sqrt(162) - (sqrt(162)*5*-6 - sqrt(162))))**2 + 1.\nAnswer: 1188*sqrt(2) + 176427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**2 - t**2 + 52*t**3 + 4*t - 42*t**3 + 10*t**2.\nAnswer: 2*t*(t + 1)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ujjtptatjjjjuuy. Give prob of sequence at.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 55*d*q**4 - 10*d*q**3 - 5*d*q**2 - 3497*d*q wrt q?\nAnswer: 660*d*q**2 - 60*d*q - 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**3 + 8*n**2 + 7*n + 8. Let q be v(-7). Let x(d) = d**2 + d. Let a(k) = 2*k**3 - 6*k**2 - 8*k. Let o be (-2)\/10 + (-12)\/(-10). Give o*a(m) + q*x(m).\nAnswer: 2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/1099 and 73\/26990498.\nAnswer: 188933486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 AM and 4:35 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76650*m = -76642*m + 88. Put -6, 2, -5, 5, m in decreasing order.\nAnswer: 5, 2, -5, -6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -256*n**5\/3 - 1024*n**4 - 1820*n**3 - 3493*n**2\/3 - 313*n - 30 = 0.\nAnswer: -10, -1, -3\/8, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -40 - -101. List the prime factors of u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1448570*a**4 + 2*a**3 - 1202069*a**2 wrt a?\nAnswer: 34765680*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t - 1. Let h be u(3). Factor -2*p - p**3 + 4 - 3*p**h + 2*p.\nAnswer: -(p - 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*s**2 - 95*s - 420.\nAnswer: -5*(s + 7)*(s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 AM and 2:15 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 114615 and 5310495?\nAnswer: 15931485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fflflellfe. Give prob of sequence eel.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = i - 3, -3*i - 2*i = p + 21. Suppose 4*n - 3*n - b + p = 0, -n + 3*b - 12 = 0. Differentiate -1 + n + 0 - 6*d**2 wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {o: 1, j: 1, h: 2, g: 1, r: 1, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1017415 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seventy-five quarters of a hour?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x + 0*x - 2*x)*(2*x - 6*x + x + (-5 + 1 + 3)*(0 - 5*x + 0)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange v**4 - 2 + 72019*v + 181*v**2 - 72016*v + 0*v**4 - v**3 + 2*v**3 to w*v**4 + b*v + z + n*v**2 + m*v**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 1778651 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 47893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**3 + 3*u**2 - 2*u + 3. Let a be m(2). Let k = 415\/118 + -1\/59. Factor j**2 + 7\/2*j**a - 1 - k*j.\nAnswer: (j - 1)*(j + 1)*(7*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*u**2 + 62*u**2 - 52*u - 58*u**2 as v + x*u + a*u**2 and give x.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 93955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 92340234131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 33 = 7*m. Suppose -327 - 80 = -m*y. What is the remainder when y is divided by 2*4\/(32\/76)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2268 and 448?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10\/8 + (-3)\/(-4). Let t(a) = -6 - 4*a - d*a + 8. Suppose -u + 2*u = -3. Let y(b) = 2*b - 1. Determine u*t(s) - 8*y(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8326 + -4829. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 221 - 294. Let l = 115 + c. Calculate the least common multiple of 54 and l.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 3*k - k**3 + 0 - 8*k**3 + 8*k**3 - 2*k**4 to the form i*k**2 + n + r*k + g*k**3 + m*k**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 76*c**2 - 57*c - 2. Is d(2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -190  (b) 6129  (c) 5  (d) -13\/4  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*x - 3*x + 15. Let t = x + 8. What is the third derivative of f**2 - f**5 + 0*f**3 + 0*f**t wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 8*u**3 + 33*u**2 + 11*u + 8. What is r(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 + 5*w**2 + 6*w + 4. Let i be o(6). Let y(x) = 2*x + 2. Let k(z) = -2*z - 2. Let t(a) = 4*k(a) + 5*y(a). Calculate t(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -32*v + 22*v + 1 + 0*v**2 - v**2 + 2*v**3 + 0*v**2 to i*v**2 + l*v + g + t*v**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15940*y - 173391 = 9961*y for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -46*b**2. Let u(j) = j**2. Let g(k) = -c(k) - 69*u(k). Let x(w) = 2*w. What is x(g(m))?\nAnswer: -46*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(3\/5)*c*c\/(c\/c**(-3\/10)))**(16\/7) assuming c is positive.\nAnswer: c**(104\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -5*o - 14. Let u be d(-4). Calculate the greatest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -457*d**3 + 13*d**2 + 16*d + 13. Is x(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 5  (b) -0.18  (c) 0.3  (d) -4  (e) -1\/5  (f) 5997\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2545 + 2544.6. Which is the smallest value?  (a) z  (b) -5  (c) 3\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of 0*y**3 + 30*y + 47\/12*y**4 - 1 + 1\/20*y**5 + 48*y**2. Find the first derivative of o(j) wrt j.\nAnswer: 3*j**2 + 94*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 - 13. Let n = l + -14. Let u = 74 - n. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*t*x**3 - 5797*t*x + 1555*x**3 - 1 wrt t?\nAnswer: -2*x**3 - 5797*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.028 + -18.472. Let n = 2.5 + j. Let p = 22 + n. Which is the closest to 0?  (a) -2\/5  (b) p  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -287a3 + 5?\nAnswer: -2879a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 4*n**2 - n - 1. Let s be l(3). Suppose s*h + 3*z = 79, -z = h + h - 32. Let f = -3 + 9. Calculate the remainder when h is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-7))\/((-28)\/4 + 9)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 138905?\nAnswer: 5, 13, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (755 + 1526 + 813 + 1565 + 1172)*(3*l**2 + 2*l**3 - 3*l**2) to the form z*l**3 + s*l**2 + i + v*l and give z.\nAnswer: 11662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/6)\/(35\/(-45)). Sort -5, 6, x in descending order.\nAnswer: 6, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -390, 1001, 0.5.\nAnswer: -390, 0.5, 1001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.15, 5, 1\/8, -3\/7, -2\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 3  (b) 5\/2  (c) -379  (d) -27  (e) 7.3  (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 826946524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1335 + 1334.6. Sort -920, y, 0.5 in increasing order.\nAnswer: -920, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1972.3531 + 1971.7. What is m rounded to three dps?\nAnswer: -0.653","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 14028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 90215 and 3580.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 AM and 3:03 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 193.034 + 1384.676. Let i = -1561 + v. Round i to 0 decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 18\/5 of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 4400?\nAnswer: 1\/2200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -107193*l**3 + 128508.\nAnswer: -321579*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r = -i + 5, -3*r = 2*i - 6*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + t. Let y be (-1)\/((-1)\/1) - t. Let b be (1\/3)\/((-8)\/(-18)). Do y and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -24 - -20.8. Let r = d - -3. Let o = 35728 - 35724. What is the biggest value in o, -4, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + -6. Let k(l) = l + 4. Let g be k(j). Let o be (0 - 1)\/(g\/2). Is o at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 - 12*z**2 + 24*z + 144. Let w be l(-13). Is w not equal to -2\/2397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 82, 5, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 91138316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.04219 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21\/5*l**2 + 147\/5 + 1032\/5*l = 0 for l.\nAnswer: -49, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1715 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-20)\/(-9) - (4 + -2). Let q be (-5)\/(-8) - (1526\/(-112) + 14). Let w = 0.5 + -2.5. Which is the closest to q?  (a) -1\/2  (b) g  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 795447 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3)\/(-4))\/((-63)\/56). Does 11 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2. Let r be (17 - 0)*(7 - 6). Suppose 69 = g + r. Let q(k) = -52 - k + g. Give q(x(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 20*y**3 + 2*y**2 + 26*y - 76. Give t(3).\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -266, -312, -358, -404?\n\"Answer: -46*y - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -585 + 1763\/3. What is the closest to 2\/5 in 3, 4, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 (base 3) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12604243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**3 - 95*a**2 - 100*a - 468. What is the units digit of y(98)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 943375920 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h + 170 = -41*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-165)\/15*((-72)\/154)\/(33\/231)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/n**(-14)*n\/n**(-33) assuming n is positive.\nAnswer: n**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4114\/6 - (-10 - 288\/(-27)). Let b = -683 + u. Let 1\/5*f - 1\/5*f**b + 0 = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 25565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -49.2 + -4.8. Let p = -26.947 + 26.947. Which is the nearest to i?  (a) 0.1  (b) 0.2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -211120111 (base 4) to base 16\nAnswer: -25615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 81.41076ug in nanograms?\nAnswer: 81410.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 + f. Let z(h) = -3*h**2 + 3*h + 2. Let t(k) = 5*w(k) + z(k). Let v be t(6). Is 4\/(-20) + v\/10 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31 (base 4) to base 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 6, 242\/3 in decreasing order.\nAnswer: 242\/3, 6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 370*v = 5*h + 368*v - 75, 3*v + 180 = 12*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (24\/(-16))\/(2\/(-692)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5.09 - 0.03. Let t = d - -5.119731. What is t rounded to five dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -48 + 25. Let z = 62 + m. Calculate the common denominator of -97\/12 and (-18)\/32*z\/9.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2*m**3 + 2*m**2 + 3*m - 3. Let q be o(1). Solve q*b = 2*g + 9*b + 3, 0 = -g - 3*b - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4558.288 rounded to the nearest 100?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 35572 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1411, 2756, 4111, 5482, 6875, 8296, 9751, 11246?\nAnswer: 12787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 1 + 6 = 0. Let i be 1*6*o\/(-2). Suppose 0*b = -2*b + 4. Solve i*t - 7*j + 35 = -3*j, 2*t + b*j = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + k + 4. Suppose 11*l = 6*l. Let b be u(l). Suppose -1\/4*y + 1\/4 + 1\/2*y**3 - 1\/4*y**5 + 1\/4*y**b - 1\/2*y**2 = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 503436864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*o**4 - 14*o**3*s*z - 5*o**3*s - o**2*z - 4*o*s*z + 65*o*z wrt o?\nAnswer: -48*o - 84*s*z - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 69 = 11. Let m = 14 - u. What is the units digit of (m\/1)\/((-2)\/38)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - c + 2 + 1 = 0, -3*c + 9 = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) -93.4  (b) -11  (c) 2  (d) -123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 4\/9, 1.7, 0.2, 1 in descending order.\nAnswer: 1.7, 1, 4\/9, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 21709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1462 - 734 - 728 - 10*x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*v + 4*v + 15*v**2.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + -2. Let b(d) = 1457 + 2*d + d**o - 5*d - 4*d**3 - 1455. Let t(n) = 9*n**3 - 3*n**2 + 7*n - 5. What is 5*b(i) + 2*t(i)?\nAnswer: -2*i**3 - i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**3 + x**3 + 0*x**3 + 3*x**3 - 4*x**3 - x**3 + (4 + 2*x - 4)*(-x**2 - 2*x**2 + 5*x**2) - 15*x**2 + 2*x**3 - 16*x**2 + 30*x**2)*(-4 - 6*x + 7 + 5*x).\nAnswer: -5*x**4 + 16*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14602*y**2 + 0*y - y + 7425*y**2 + 7302*y**2.\nAnswer: 125*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -161393, -645609, -1452659, -2582543, -4035261, -5810813?\nAnswer: -7909199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 121121024 - 200?\nAnswer: 121120424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x**3\/5 - 173*x**2\/5 - 704*x\/5 - 708\/5 = 0. Calculate x.\nAnswer: -2, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 1 d when three letters picked without replacement from ddddcdddcdcdcddddc.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 + x**2 + x + 1. Let r(j) = 14*j**3 - 7*j**2 - 7*j - 14. Let v(y) = 7*q(y) + r(y). Find the first derivative of v(a) wrt a.\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148.03267 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2057 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -239 = -113*x + 1117 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6504 + 91093\/14. What is the common denominator of -51\/10 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3\/17 + -23\/34. Let k = -2 + 2.4. Let f = 0 + k. Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*0.1.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20808 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -30 - -26. Which is the nearest to n?  (a) 4  (b) 3  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + (-24 - -68) + 5 + -21?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114018 is divided by 11401?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*n - 2*n + 6. Suppose -5*o = n*r, 5*o + 2*r - 5 = -0. Calculate the remainder when 6 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (-15 - (-6 + 12) - -5) + 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 108*d - 13. Suppose 9*u - 4*u - 50 = 0. Is s(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 246 and 165.\nAnswer: 13530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 8*k**2 - 3*k - 23. Let l be t(2). Solve 2*a + l*f - 41 = -13, -23 = -a - 3*f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-384)\/189 + (-80)\/(-70))*-22*6\/16?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1526346937?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -80 - -80.063. Let y = a - 0.163. Is -27 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41 divided by -1.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002047256 to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3632 - 471a3?\nAnswer: -4a825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a + 2*a = -4. Let i be (0 + 0)\/(1\/a). Sort -5, i, -3 in decreasing order.\nAnswer: i, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -97*x + 96*x + 3. Suppose 125 + 235 = n - 5*w, -2*n + 759 = x*w. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19151 * -18\nAnswer: 344718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6993.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3997 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (130*f - 524*f + 154*f)*(-f + 2*f + 0*f).\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*f**5 - 2719*f**2*v + 5*f - 4*v - 12 wrt f?\nAnswer: -80*f**3 - 5438*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/h**(-3\/5)*h\/((h\/h**(6\/11)*h)\/h))\/((h*h**(-1))\/h*h*h\/(h*h*h**(1\/2)\/h*h*h)*h) assuming h is positive.\nAnswer: h**(511\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -71 - -287\/4. Let m(f) be the first derivative of -f**3 - 2 - p*f**4 + 3\/2*f**2 + 3*f. Determine h, given that m(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 + -15. Solve -11 - 13 = -g*z + 2*x, -4 = 2*x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -14*t - 121. Let g be l(-9). Sort g, 13, -5.\nAnswer: -5, g, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 18 = -63. Suppose 0 = -z*u + u + 80. Suppose -u = -q - 4. Solve 2*t - q = 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -254 or 0.1?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.8 + -4.8. Let p = w + 5. Put 0.4, p, -4 in descending order.\nAnswer: p, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.11 - -0.21. Let i = w + -0.3. Is i greater than or equal to -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1627416 + -16290?\nAnswer: -1643706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 890, 1147, 1408, 1673, 1942, 2215?\nAnswer: 2492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the first derivative of -1 + 2\/15*p**3 + 8\/5*p - 4\/5*p**2. What is g in l(g) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*v**3 - 11*v**3 + 4*v**3 + v + 5*v**3 - v**2 + 14 to the form i + g*v + n*v**2 + a*v**3 and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-3))\/((-1419)\/387)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y. Let u(i) be the second derivative of 5*i**6\/144 + 41*i**4\/12 - 38*i. Let z(t) be the third derivative of u(t). Calculate z(q(d)).\nAnswer: -50*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 756 and 19845.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (1\/45)\/(((-26)\/(-143))\/(-7*78\/1001))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 + 3481.3.\nAnswer: 3481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-81*c + 81*c - 93*c**2)*(3 + 4*c - 2 + 4*c).\nAnswer: -744*c**3 - 93*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3002, -2688, -2174, -1460?\n\"Answer: 100*w**2 + 14*w - 3116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 3*f. Let a(o) = 5985*o. What is q(a(t))?\nAnswer: 17955*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -156151 (base 9) to base 13.\nAnswer: -34b1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 15\/(-10)*24\/(-9). Factor -11*f - f**2 - i*f - 5*f - 56 - 2*f**2 + 7*f**2.\nAnswer: 4*(f - 7)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11 - (2 - -5)) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 94492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/24 and -33\/1248656.\nAnswer: 3745968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 58?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 + 6.1. Let u = -285\/4 - -72. Put t, u, 2\/5, -5 in descending order.\nAnswer: u, 2\/5, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 2*r = -158, 3 + 7 = 2*r. Let m(s) be the first derivative of -80*s**2 - 27 + 43*s**2 + j*s**2 - s**3. Let t(u) = 7*u. Give m(t(l)).\nAnswer: -147*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.9 + -0.1. Let s = -6.0034 - r. What is s rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the first derivative of -2 + 105\/2*z**2 - 2*z. Is o(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1456 a factor of 355432685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 9*d**2 - 14*d + 9. Let k = 69 + -80. Let a(s) = 5*s**2 - 7*s + 5. Let y(t) = k*a(t) + 6*v(t). Calculate the remainder when 17 is divided by y(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -x + 32, 1675*x + 2*o = 1671*x + 20. Let y(s) be the second derivative of -1\/72*s**4 + 0*s**x + 9*s + 1\/18*s**3 + 0. Let y(m) = 0. Calculate m.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1537440 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j - 5*y = 11*j - 14, -2*j + 49 = -11*y. What is the remainder when 109 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -255 + 257. What is the closest to n in 0.1, -2, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnyllvnvxnvlv. What is prob of sequence lnv?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 divided by -29.\nAnswer: -14\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 + -1.1. Let y = -6 - p. Let l = -35\/2 + 17. Which is the second biggest value?  (a) l  (b) -5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -0*n + 4*n. Let k be (9\/15)\/(3\/(-15)). Let x = 1 + 4. Sort x, k, n.\nAnswer: k, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 1 - 25 = -5*t, -3*t + 12 = 0. Let m = -1 - b. Solve 7 = -3*d + m*v - 7*v, v = 2*d + 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 - 4*r + 6. Let x be l(5). Let a(b) = 0*b - b + 2*b. Let y(h) = 3*h. Let s(m) = -2626*m + 2297746. Let v be s(875). What is v*y(u) + x*a(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 79*x**2 - 32*x**2 + 65*x**2 - 26*x**2 - 28*x**2 - 33*x**2 - 28*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.9 - 1.91. Let g = 85.089 - 85. Let v = 3.089 - g. Sort v, -0.2, f in decreasing order.\nAnswer: v, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 52143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -4*h + 27. Suppose 554 = h*f + 2*b, f + 3*b + 365 = 3*f. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 2 h when four letters picked without replacement from hhhhhhhihhhhihhhhi.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2 + 16*r - 173. What is n(-22)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2009437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 8332501*y**3 + 2*y**2 - 4*y - 8. Let p be i(-2). What is p rounded to the nearest one million?\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q. Let t(w) = -4*w. Suppose 0 = 2*h + 4*i + 28, -h = -6*h - 5*i - 45. What is h*a(b) - 3*t(b)?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 39*u**3 - 550*u**2 + 16982*u. Let a(x) = -14*x**3 + 183*x**2 - 5661*x. Let o(s) = 23*a(s) + 8*b(s). What is the second derivative of o(v) wrt v?\nAnswer: -60*v - 382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6c04 (base 13) to base 15\nAnswer: -4794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 186 = -5*c, l = c - 25 - 17. Let r = 7 - 3. Suppose 5*j - 3*j - 2*k - 56 = 0, -r*k = j - c. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/2009526 and -37\/71673094.\nAnswer: 215019282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (9\/18)\/(1\/16). Let c be v - 3\/(-9)*-9. Suppose -c*l - 2*q = -158 - 23, -45 = -l + 4*q. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14 + 1 - 25) + 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(28))**2*-4 - sqrt(28)*1) + ((0 + sqrt(175))*-6)**2.\nAnswer: -2*sqrt(7) + 6188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(39) + sqrt(195)\/sqrt(20) - sqrt(39))\/(sqrt(243) - -2*sqrt(243)) + ((sqrt(52)*3)**2 - sqrt(52)\/(sqrt(4)*3)) + 2.\nAnswer: -17*sqrt(13)\/54 + 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -115337 and 38129050.75?\nAnswer: 38244387.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -172\/45 + -1\/90. Find the common denominator of -43\/16 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 p when three letters picked without replacement from {z: 3, p: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -442 - -474. Suppose 5*o + 10*g = 5*g + 50, 0 = 2*o + 5*g - 14. Calculate the highest common divisor of z and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*g = -2*x - 9*g - 5, 4*g = 5*x - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 - 9*a**2 - 4*a - 12. Let n(v) = 4*v + 1. Calculate the remainder when h(-9) is divided by n(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from skkkksssksksskkssks. What is prob of sequence ks?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6.2 - -5.8. Let s = 984\/7 - 140. Suppose -2*y = -y. Which is the closest to y?  (a) 4  (b) s  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-52)\/14 - -10 - (-6)\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.4  (b) -1\/2  (c) -6\/37  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 10*m**2 - 18*m - 49. Let w(b) = b + 1. Let q(s) = o(s) + 5*w(s). Is q(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 43 + -43. Suppose f = 20*i - 8*i - 3264. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63805*s = 63562*s - 16524 for s.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 11:15 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of -x**4\/36 - 64*x**3\/9 + 22*x - 9. Factor i(q).\nAnswer: -q*(q + 128)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/5 - (-3)\/(-45). Let i = 1833\/55 - 360\/11. Which is the closest to -1\/3?  (a) y  (b) 20  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 + 1. Let m(i) = -i - 2. Let z be m(q). Find the third derivative of -l**5 + 3*l**5 - 2*l**2 + z*l**2 wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 419*w - 17. Let j be z(-4). Let r = j + 11813\/7. Is r < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q, 1 b, and 1 g when four letters picked without replacement from {b: 1, d: 5, u: 1, q: 3, g: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 14) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a**2\/4 + 1565*a\/4 - 4785\/2 = 0.\nAnswer: -319, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 36.157 + 1.843. Let r be (-3)\/(-4)*(-1 + 69\/45). What is the fourth biggest value in i, r, -4\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oe when two letters picked without replacement from aookkpogakpgoegp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17413979*a**3 - 62*a**2 - 3134*a - 40 wrt a?\nAnswer: -104483874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -135148, -137161, -139176, -141193, -143212, -145233, -147256?\nAnswer: -149281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 + 45*c**2 + 2*c - 90. Calculate l(45).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 1381 divide 52091320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 + -6. Let g = 26.6 + -2. Let v = -25 + g. Which is the nearest to 0?  (a) d  (b) v  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.165995291 rounded to four decimal places?\nAnswer: -4.166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(480)*1*-2*-1)\/(-2*(sqrt(726) - sqrt(726)*-1) + sqrt(726) + sqrt(726)*-1*-5 + sqrt(726)).\nAnswer: 8*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1900)*1*5 + 3)*-1)**2.\nAnswer: 300*sqrt(19) + 47509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = g - 3*c, 0 = 44*g - 49*g + 2*c + 37. Suppose -5*v - g = -p, -v = p + v - 2. Solve 0 = -6*o + o + t - 27, -p*o - 4*t = 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -67 by -1.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) -2  (c) 1\/3  (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30322330132 (base 4) to base 3.\nAnswer: -20101002022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.1  (b) -1\/19  (c) 54\/11  (d) 0.6  (e) 0.11972\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 (base 8) in base 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**3 + 7*p**3 - 15*p**3 + 8*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*f**2 + 4*f + 16*f + 31*f**2 - 50 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.4 + 6.6. Let c = p + -6. Which is bigger: 0.02 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, g: 6, j: 1, b: 1, x: 4}. What is prob of sequence ggx?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 10*q + 2 = 12*q, 2*r - q + 2 = 0. What is the closest to r in 1\/5, -0.3, -40?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150 a factor of 1486650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the third derivative of -2\/105*y**7 + 0*y**4 + 0*y**3 + 1\/30*y**6 - 7*y**2 + 0 + 0*y + 0*y**5. Factor s(v).\nAnswer: -4*v**3*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (5 + -12 + 7 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(2 + 61\/(-30)). Suppose 5*f + a + 5 = 0. Let u = -5 - f. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -3*d + d + 3 + 1 - 3*d + d**2. Let w be x(6). Let i(f) = 29*f**2 + 2*f - 1. Let u be i(1). Calculate the highest common divisor of u and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 + 8*k + 4. Suppose -3*w + 13 = -11. Let j be b(w). Sort 1, -1, j in ascending order.\nAnswer: -1, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3577 and 69923?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 52.89 to zero dps.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1670)\/8 + (-24)\/96. Let q = -67 - f. Let a = 195 + q. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*g**4 + 3*g**4 + 17*g + 0*g + (4*g**3 - 5*g**3 - g**3)*(6*g + 47*g - 6*g) in the form r*g**3 + v*g + x*g**4 + z*g**2 + i and give x.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -5\/56  (c) -1.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 0 - 3)*(-3*h + 3*h - h**2)*(156 + 208 - 23) to i + u*h**2 + q*h and give u.\nAnswer: 682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -1\/28  (b) -0.2  (c) 4  (d) -182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 + i**2)*(-246220 - 460*i + 2*i**2 + 246220) as b + u*i + t*i**2 + c*i**4 + x*i**3 and give x.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.8512951m in nanometers?\nAnswer: 851295100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -23 - 62\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (9 - 9)\/(-6)*(-2)\/(-4). Solve 2*r + 4 = -2*g, -2*r - 4 = g - a*g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of t**4\/12 - t**3\/2 - 9*t**2. Let s be j(0). Let r(u) = 6*u - u**2 + 3 - 2*u - 3*u. Give r(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minus 50?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10*s**2 + 10*s**2 - 18*s**3)*(2*s + 2 + 0 - 1) in the form u + x*s + l*s**3 + q*s**4 + m*s**2 and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**2*c)\/(c**6*c*c))\/(c**(-1\/3)\/(c**(-7)*c)) assuming c is positive.\nAnswer: c**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -105166390, -210332778, -315499166, -420665554, -525831942, -630998330?\nAnswer: -736164718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o**2. Let a(d) = -d**2. Let l(f) = -5*a(f) + 2*q(f). Let b(k) = k**2. Determine b(l(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the first derivative of -2*b**5\/5 + 4*b**3\/3 - 2*b + 259. Find p, given that o(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6*(-3)\/(4 - -2). Let z be d\/(-6) - 526\/(-4). Let y = 1105 + -1093. Calculate the greatest common divisor of z and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4223 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + -20220110?\nAnswer: -20220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/((2\/(-4))\/(14\/4)). Let d(o) = o**2 - 6*o - 4. What is d(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -129 divided by -1317\nAnswer: 43\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-20)\/(-6)*(-7 - -8)\/10. Let d(y) be the second derivative of 0 - 6*y + 3\/2*y**2 - w*y**3. Find the first derivative of d(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of k**2 + 14*k - 11. Let d be p(-7). Let a(f) be the first derivative of -f**4\/4 + f**2\/2 + 7*f + 2. Give a(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 6*f**3 - 2*f - 7. Let u be 6\/9 + 13\/3. Let z(o) = -1 - o**3 + 2 + 0. Give u*z(l) + v(l).\nAnswer: l**3 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 9310711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*s**5 - s**4 + 208*s**3 + 15*s**2 + 46*s?\nAnswer: 180*s**2 - 24*s + 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0*(0 + (-2 - -1)). Suppose 0 = -5*s - 2*p, 2*p - 7*p - 21 = 2*s. Let x be -1 - -7*(-1 + 2). Solve w = x*t - s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*r = -45*r - 26*r + 1780 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -8*q. Let i(o) be the first derivative of -2*o**2 + 7. Determine f(i(d)).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*c - 84 = c. Let h(k) = -2*k**2 - 4*k + 20. Let a be h(c). What is the third biggest value in 5, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5\/1)\/(20\/12). Suppose -a*q + 534 + 117 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -159783 - 92392 - 149844 - 4*t**2 - 1524*t - 25697 + 4140*t = 0. Calculate t.\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 155779519 to the nearest integer?\nAnswer: 12481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 39335 and 6?\nAnswer: 39329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 59978 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1  (b) 2  (c) -0.1  (d) 7\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 5. Suppose 4*x - 9 = -5*q, v = 3*q + 5*x - 0*x - 8. Let w be 1*(31\/6 + (-3)\/18). Sort w, -2, q in decreasing order.\nAnswer: w, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -153166*w + 153102*w - 3584 = 0 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*d - 1. Suppose 293*y + 114 = 350*y. Solve -m - 5 = d*i + y*m, 3*m = -5*i - 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8372 - 167553\/20. Calculate the common denominator of (-14)\/((-252)\/285) - -9 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -13*c + 35. Let a = 0 - -0.2. What is the second biggest value in c, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4256*t + 8500*t - 4251*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 PM and 9:34 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13741 + 13767. Let g(l) = -2*l + 57. Give g(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*c - 15922005 = -s - 37*c, 2*s + c = 31843995. Round s to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from fyfmb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (24 + 10 + -25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m**5 - 45*m**4 + 165*m**3 - 175*m**2 + 60*m = 0. What is m?\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68385 = y - 4*h, -5*y + 3*y = 5*h - 136809. Let q = y + -3419733\/50. What is the common denominator of q and -13\/4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 30 + 41*u**2 - 42*u**2 as b + x*u + h*u**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5152\/9*v - 31574\/9*v**2 + 214\/9*v**4 - 2\/9*v**5 - 5150\/9*v**3 + 31360\/9 = 0. Calculate v.\nAnswer: -5, -1, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from udddddqdcddudd.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 77258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1703 + 1703 + 4*d)*(4*d - 2*d - 4*d)*(-11 + 9 - 21) to the form f + o*d + v*d**2 and give v.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:56 AM and 3:25 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/280*(2 + 3 - 0)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (42\/(-4))\/(-3)*8. Let b = a + -19. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iipipip. What is prob of sequence pi?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -157 = 5*m - 4*h + 338, 4*h - 20 = 0. Let i = m + 98. Solve 0 = -i*r + 4 - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 961.1189 weeks?\nAnswer: 581284710720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.105 + -0.695. Let m = v - -0.49. Let u be 230\/660 + 2\/(-11). Which is the closest to m?  (a) u  (b) -0.1  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 547974632 a multiple of 1219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -308*(-9)\/756*-3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 3*z - 174133 = 0, -5*z - 43546 = -4*l + 3*l. Let q = 1306099\/30 - l. Find the common denominator of -113\/36 and q.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-8) - (-72)\/160?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.005589957 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (26\/6)\/((-40)\/(-240)). Solve -4*h + z - 6 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + 1b?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (1677\/(-215))\/(((-5)\/(5\/(-15)*15))\/(-5))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13373 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-480)\/((-2)\/(-3)*(-9)\/4). Suppose -2*s + y + 30 = 0. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 226349 is divided by 28291?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 6*f - 36. Let t(h) = -301*h - 49. Let n(y) = 201*y + 34. Let o(l) = -7*n(l) - 5*t(l). Is o(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78576675130.28 - 3.\nAnswer: 78576675127.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (21*g - 24*g + 45*g)*(61 - 92*g**2 - 61) in the form w*g**2 + m + f*g + r*g**3 and give r.\nAnswer: -3864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 11*g**2 + 9*g - 13. What is the units digit of k(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -2170, -4339, -6508, -8677?\n\"Answer: -2169*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -48 + (-6 - -4) + (0 - -2 - -7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 105*q - 1. Let n be m(-2). Is -3 + 3 + 0 - n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes after 7:09 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 113978 equal to 113947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 25 = -3*z. Let k = z - -7. Let w(o) be the second derivative of -o**3\/6 + o**2 - o. Determine w(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-88)\/(-9) + 24\/108. Let q = 2 - 3. Let a be q\/(18\/g - 2). Solve -2*c - 4*z - 2 = 0, -a*c + 22 = 2*z + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -145 - -94 - -38 - -100*(2 - (-58)\/(-32)).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2620 + 18*b + 2620.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 16*v**2 - 4*v - 5. Let s be h(-1). Suppose 3*o = s - 12. Is 15\/22 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 155783 is divided by 155258.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 3*n - 1. Let b(d) = d**3 + 5*d**2 - 6*d + 3. Let y be b(-6). Suppose 1 = y*w - 2. What is the units digit of o(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3924377 to the nearest integer?\nAnswer: 1981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + 0. Let m(g) = -g**2 + 8*g - 7. What is the least common multiple of m(6) and ((-6)\/q)\/(-1) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 2*a + a. Let x(m) = 6*m**2 - m + 5. Let g(k) = k**2 + 1. What is a*g(w) + x(w)?\nAnswer: 2*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -2*b. Let k(g) = 538*g**2 - 1082*g**2 + 3 + 539*g**2. Determine u(k(s)).\nAnswer: 10*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - p = -4. Suppose -3*x - 2*t + 30 = 0, 0 = 3*x + t + 16 - 43. Suppose -x = -j + p. Calculate the smallest common multiple of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2846 divide 1764298012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 12, a: 1, x: 6}. What is prob of sequence xgx?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/7  (b) -1\/4  (c) -12  (d) -3  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes before 8:46 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(112) + sqrt(7) + -5 + sqrt(448) + (sqrt(448) + 0 - sqrt(448))**2 + -2.\nAnswer: -4 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-75)\/30)\/((-3)\/6). Solve -5*z = o*m - 15, -2*m = z - 7 + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1004*v**4 + 9*v**2 + 24*v?\nAnswer: -24096*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25996 (base 10) to base 13.\nAnswer: baa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 60968987 + 0.0416?\nAnswer: 60968987.0416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -22 - (-39)\/((-689)\/(-65) - 10)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 26*z - 179*z - 159*z**4 + 31*z**4 wrt z?\nAnswer: -1536*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -5*t - t - 6*t + 10*t. Let n(m) = -m**2. Give r(n(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 5 - 9. Let s be (-46)\/(-69) - y\/3. Suppose 0 = q + 4*h - 359, -q = s*q - 5*h - 1162. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 10  (b) -3  (c) -0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes after 1:34 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.1?  (a) -0.33  (b) 5  (c) 4  (d) 2\/13  (e) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 + -10102?\nAnswer: -10106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -5*x + 2*x - 2*l, 35 = 3*x - 5*l. Let p(a) = -a**2 + 10*a - 25. Let k be p(x). What is u in -4\/7*u**2 + 2\/7*u + k = 0?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113581 greater than 203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 g when two letters picked without replacement from galggslahllgsa.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 4*l**4\/9 + 4*l**3\/3 - 4*l**2 + 20*l\/9 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36\/7*s**2 - 2\/7*s**4 - 16\/7 + 40\/7*s + 2*s**3.\nAnswer: -2*(s - 2)**3*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-72) + 30\/(-135). Put 3\/4, v, 1, -4 in descending order.\nAnswer: 1, 3\/4, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.09702 to 3 dps.\nAnswer: 0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26510 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20\/19 + 296\/209. Let s = 1\/33 - k. Which is the closest to 0.2?  (a) 3\/5  (b) s  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -3*i + 24. Let g be d(6). Let c be 15\/(-1*(-4)\/16*g). What is the hundreds digit of 6\/15 - (-1756)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3825)\/(-270)*(14\/100)\/1. Let g = -26\/15 + y. Factor 0 - 1\/4*v**2 + 1\/4*v**3 + g*v**4 - 1\/4*v.\nAnswer: v*(v - 1)*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 8*g - 321. Let k be t(41). Suppose -3 = 3*n, s - 2*n = -2*s + 65. Calculate the highest common divisor of k and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k = -3*k - 5*f - 507346, -3*k = 2*f - 380521. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 7*h**2 + 14*h - 55. What is the remainder when 1399 is divided by f(3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-37))\/m**(-11\/2) assuming m is positive.\nAnswer: m**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-8\/7)\/w)\/w)\/((w*w\/((w**(-16)*w)\/w)*w)\/w*w)*(w\/((w*w*w*w**(-2\/9)*w)\/w))**(-49\/2) assuming w is positive.\nAnswer: w**(1349\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -385 - 3*16\/(-24). Let q = 797 + a. Does 18 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -286 + 286.5. Which is the second smallest value?  (a) 7  (b) -3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/(-10))\/(3\/(-15)). Let m(g) = -3*g - 7. Let p(c) = 4*c + 8. Let b(r) = 7*m(r) + 6*p(r). Let l(t) = -2*t + 1. Determine u*b(h) + 4*l(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 2 - 4*q**3 + 996*q**2 + 2*q**3 - 1194*q**2 to the form n*q**2 + r*q + m + o*q**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 - 11*i**2 + 8*i + 3. What is j(10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22884 + 22878. Sort -0.29, 0.04, -0.4, n, -0.2 in ascending order.\nAnswer: n, -0.4, -0.29, -0.2, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**3 - 6*f**2 + 8*f + 3. Let d(r) = -r**3 - 6*r**2 + 8*r + 4. Let t(u) = -2*b(u) + 3*d(u). Let k(s) = s**2 - 5*s - 7. Let m be k(5). Determine t(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = i + 4*j, 12*i = 14*i + 5*j - 256. Let l be 5\/((-25)\/8)*-30. Calculate the greatest common factor of l and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -81848 (base 11) to base 12.\nAnswer: -59187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1212 + 1?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2588 divided by 4?\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-107)\/2)\/(3\/6). Let m = -326\/3 - i. Let w = m - -1. Put w, -3\/4, -2 in ascending order.\nAnswer: -2, -3\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 772?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/2*(-30)\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -2*c**3 - 9*c**2 + 13*c - 21. Calculate r(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 PM and 7:10 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.81 * 4\nAnswer: 3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -9*s + 2 - 4*s - s + 13*s. Let j(y) = -y. Let c(d) = -2*d - 9. Let x(g) = -c(g) + 6*j(g). Let w(a) = -9*t(a) + 2*x(a). Give w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 300 = 65*x + 35*x. Let a(l) be the first derivative of 2 - 16*l - 4*l**2 - 1\/3*l**x. Factor a(m).\nAnswer: -(m + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 247131131 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, p: 8}. Give prob of sequence ppp.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 + 22*b**2 - 39*b + 68. Let m be r(20). Let h(v) = -v**3 + 5*v**2 - 3*v - 1. Let c be h(3). Calculate the highest common factor of c and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18471992 by -5.\nAnswer: -18471992\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**2\/3 + 212*v\/3 - 416\/3 = 0. Calculate v.\nAnswer: 2, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4571 - -9701. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1669, 3339, 5009, 6679?\n\"Answer: 1670*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1628 = -67*y + 891 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7.3 and 0.347.\nAnswer: 2.5331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*a**5\/5 - 20082*a**4\/5 + 85809*a**3\/5 - 24576*a**2 + 68556*a\/5 - 11424\/5 = 0. Calculate a.\nAnswer: 2\/7, 1, 2, 952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 19 - (-6 + -13 - -27)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:48 AM and 9:21 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/8 - (-75)\/2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7700 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, -2\/11, 3\/5 in ascending order.\nAnswer: -1, -2\/11, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*i - 363*i**3 + 4*i + 4*i**4 + 361*i**3 in the form p + b*i**4 + t*i + n*i**3 + q*i**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 4*v**2 + v - 12. Let r(n) = -5*n**2 - n + 13. Give 6*f(d) + 5*r(d).\nAnswer: -d**2 + d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -2*q**2 + 14*q - 9. Let r be y(9). Let g be r\/(-6)*(-4)\/(-6). Suppose 0*s - 1 = -c + s, 3*s - 45 = -g*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -2*k**4\/11 + 904*k**3\/11 - 28354*k**2\/11 - 2660*k = 0.\nAnswer: -1, 0, 35, 418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1354, 43, 1\/4 in ascending order.\nAnswer: 0.1354, 1\/4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72839 + 26933 = 4*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the first derivative of d**3\/3 + 5*d**2 + 35*d + 4. What are the prime factors of a(-14)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -19 + 1022 + -16 + -10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*g = -4*o + 41*g - 17, 32 = -3*o - 5*g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d + 38. Let c be q(12). Let b = c - 48. Solve 5*z = 2*v + 13, -b*z - 4*v + 2*v = 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (399\/2394)\/((-1)\/(-12)). Solve 0 = p - h*p - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + s = 121, 6*y + 92 = 9*y + s. Suppose y*f = 17*f. Sort f, 1, -4 in increasing order.\nAnswer: -4, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4209 + -4146 - (31 + 1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3*j - 3)*(-j + 3*j + j)*(-1 - 2*j**3 + 1 + (2*j**3 - 2*j**3 + 2*j**3)*(-1 - 4 + 3)).\nAnswer: -54*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -1\/8  (b) -2\/13  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -32 - -32. Suppose 0*d + d = s. Find the second derivative of 0 + 8*v + d + 7*v**2 + 4*v**2 wrt v.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 - -9) + 11 + -19. What is the derivative of -306 + 135 + 171*o**z + 258 wrt o?\nAnswer: 513*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 2\/(-13) + (213826\/13)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -42*f + 186. What is a(5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*q - 163*q + 137270 = -71*q + 1826*q for q.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 17 = -5*g, 30 = -5*g - 5*v + 10. Let d be 6 - g - 2 - -1. Suppose -7*f = -11*f + 224. What is the highest common factor of f and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 + 5. Let z(p) = p**2 + 3*p - 3. Let l(x) = 2*x**2 + 6*x - 6. Let f(k) = t*l(k) + 7*z(k). What is the units digit of f(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) -2\/7  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 113232 (base 4) to base 11\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1596344*b**4 - 1 + 1596628*b**4)*(4 - 4 + 1) to the form n*b**4 + f*b**2 + v*b**3 + p*b + u and give n.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -1 + 387 - -1 - (-56)\/(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**2 - 13*n + 16. Let v be x(19). Suppose -3*d + v = 2*d. Suppose 87 = -d*m + 27*m. Is m a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -351\/2  (b) 0  (c) -1\/3  (d) 0.4  (e) 474\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/483882 and 57\/8.\nAnswer: 1935528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -91 - -155. Let z be (3\/(-6) - -3)*(0 + y). Calculate the highest common divisor of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14 - (-1 - 1 - -3)) + (3 - -3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.3, -0.2, -0.13, 2\/15?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 198655?\nAnswer: 5, 67, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103*u - 463 - 727 = -16*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-3)*2\/(-4). Let q = 1\/110 - -213\/770. Let o = -12 - -14. Which is the closest to 0?  (a) o  (b) h  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**2\/9 - 282505696*z\/9 + 9976183534055552\/9.\nAnswer: 2*(z - 70626424)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.5858 rounded to 2 dps?\nAnswer: -1.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d - d + 0*d)*(d**2 + 3*d**2 - 5*d**2) - 81 + 36765*d**3 - 85 + 166.\nAnswer: 36764*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23.018 + -23. Let s = k + -0.018. Suppose 5*p - 2 = 2*u - u, -2*p = 0. Which is smaller: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 2*s**2 + 5250*s - 956238. Calculate n(171).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 - 7*t + 10. Let i be r(7). Let a be 1 + 1 - i\/5. Solve n - 18 = -5*k, -3*k + k + 2*n = a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 30*d - 109. Let v be j(4). What is the fourth smallest value in -1, v, -0.3, -1\/8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (2 + -2))*(-81)\/54.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 60760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2*(-11)\/(-22) + (3 + -8)*-2. Solve 4 = -w*t + 5*t - 2*o, -5 = 5*t - 4*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8234123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16713173 + 7790497. Let p = -15522676 - v. What is p rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 - 13. Suppose -t - 16 = u*t. Let m(y) = -y**3 - 3*y**2 - 6*y + 9. Let b be m(t). Calculate the greatest common divisor of b and 539.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24000 divided by 50\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.29 + 23117.\nAnswer: 23118.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -32 - (-2287 - -2274)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 111099 rounded to the nearest 100?\nAnswer: 111100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - m - 150 = 0. Let f = -18 + m. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 217 - 222. Let p = 0.2 + -0.3. Let o = -0.027 - 0.013. Which is the nearest to p?  (a) o  (b) -2\/5  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.3  (b) 3  (c) -0.4  (d) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -20 in 1, 6, -0.2, 0.146?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 118061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16.9 - -16. Let x = y + -0.1. What is the closest to 0 in x, -0.5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -3*b**2 + 4*b - 3. Suppose -5*x + 3 = -12. Let p be d(x). What are the prime factors of (p\/4)\/((-1)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 p when three letters picked without replacement from zxxppxzpzxspxfsspspj?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6966419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2488437865 to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40\/60)\/(2\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/((-126)\/8)*(4755296\/(-317408) + 4\/(-218)).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 21114 and 2210.\nAnswer: 1372410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 101013 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -57, -17 in descending order.\nAnswer: -1, -17, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98275 is divided by 2346?\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 494926312.\nAnswer: 2, 1759, 35171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -188*l. Let y(h) = 3384*h. Determine j(y(s)).\nAnswer: -636192*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 3*o = -1226, -o - 2*o = -5*r - 3047. Let h = r + 1124. What are the prime factors of h?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 37464693 and 16695.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 203922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 2*q + 15. Let d be h(0). Suppose 4*u + 0 = -5*a - 7, 5*u = -d. Let t(s) = 2*s**3 + s**2 - 1. List the prime factors of t(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 - 8*r**2 + 2*r - 16. Calculate y(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 849 a factor of 441307653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 694*r + 5512. What is i(-8)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3595 and 175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 - 5*q + 5. Suppose j - 21 + 2 = 0. What is the remainder when j is divided by t(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x**3 + 26*x**2 + 16*x + 24. Let a be g(-12). Let p be (-2 - 7\/(-4))\/((-10)\/a). Solve 3*c = -p - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 + n**2 + 421*n - 33. Give y(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 2:44 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1142563 and 388?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 89.024 + -89. Let v = z - 0.024. Let p = 4 - 1. What is the nearest to v in p, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the third derivative of -u**6\/120 + u**5\/6 + u**4\/12 - 9*u**3\/2 - 2*u**2 + 7. Determine b(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14.09 + 14. Let m be -15 + 22 - 35\/7. What is the biggest value in 5, -2, r, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 362*t - 18384 = -21*t for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 - -19. Suppose 5*z + j*h - 185 = 0, -z - h - 25 = -63. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**4)\/j**(3\/7))\/((j*j**(-4\/7))\/(j**0\/j)) assuming j is positive.\nAnswer: j**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1049142151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.66 + -3. Let t = -0.006 - -0.666. Let f = t - w. Sort -5, 0, f in ascending order.\nAnswer: -5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13334 + 15256. Is k smaller than 1924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-5)\/r**2)\/(r*r**(-1\/7)*r*r**(1\/5)))**(-3) assuming r is positive.\nAnswer: r**(951\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 5*l - 108. Calculate m(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 80*r**3 + r**2 + r. Let q be d(-1). Let i be (-1195)\/15 - 556\/417. Which is smaller: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -340.8 - -21.8. Let n = -321 - z. Let u = 1.98 + 0.02. Which is the third smallest value?  (a) 0.4  (b) u  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -32*a - 40. Calculate o(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 100 = 2*l, -5*l - 3*j - 6*j + 4*j - 245 = 0 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/4950 and -125\/144.\nAnswer: 39600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 35 - 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 20 + 5. Suppose 5*b + 3*z - 9 = 0, z = -f*b - 0*z + 13. What is the remainder when 27 is divided by -1 + (3 - (b + -16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -363845250 divided by -375\nAnswer: 970254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of h**6\/72 - h**5\/8 + 5*h**4\/12 - 6*h**3 + 21. Let z(c) be the third derivative of r(c). Let z(d) = 0. What is d?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11402124 (base 5) to base 8\nAnswer: -320053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3150649868 to the nearest integer?\nAnswer: 56131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 124466?\nAnswer: 2, 62233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3083711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -47 + 279. Is 42 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = 12*r - 15*r. Let p = -255 - -852. Suppose -5*y = 202 - p. What is the remainder when y is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8359810?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 224028822 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 10785199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 234 and 8658.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -489*k + 522*k - 43*k - 13*k**2 - 2*k**2. Let d(l) = 4*l. Calculate x(d(q)).\nAnswer: -240*q**2 - 40*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2091.\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*x**3 - x**2 - 6 + 401*x - 401*x as y*x**2 + i + r*x**3 + l*x and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = x - 0. Which is the third biggest value?  (a) x  (b) -2\/9  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 + 5*g**2 - 4. Let u be a(-5). Let k be 13\/(-3) + ((-224)\/(-24) + -12)\/4. Let s(z) = -z + 8. Let h be s(7). Sort u, k, h, 4.\nAnswer: k, u, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 3 f when four letters picked without replacement from efeffwe?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 187374844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 4\/17, -13, -1\/10?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 45085 a multiple of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 - 11*i - 7. Suppose -2*o - 3*o - 135 = 0. Let r = -15 - o. Does 2 divide k(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/4 + -4 - -6. Suppose v - 2 = 12. Let z = v - 10. What is the highest common divisor of z and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7245527 to the nearest 100000.\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8364336 to the nearest integer?\nAnswer: 2892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the first derivative of 0*k**4 + 0*k**3 + 0*k**5 - 15\/2*k**2 + 0*k - 5\/3*k**6 - 11. What is the second derivative of s(z) wrt z?\nAnswer: -200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 + 1 + 79\/3. Let y = 26 - t. Which is the biggest value?  (a) -2\/15  (b) y  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/((w*(w*w\/w**(2\/3))\/w)\/w))**(24\/13)\/(w**1\/(w**(-7)*w))*(w**(3\/7)*w**(-2\/11))\/(w*w*w\/((w**(-1\/4)*w*w)\/w))**(-30) assuming w is positive.\nAnswer: w**(124079\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18510, 37120, 55726, 74328?\nAnswer: 92926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2 - 60789948*g - 461927222230338.\nAnswer: -2*(g + 15197487)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7537273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2*q**2 + 4*q + 2. Let o = 34 - 22. Suppose z + 8 = 5*z + 4*j, 3*j = o. Calculate i(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y + 3*y + 3*y)*((y**4 + y**4 - y**4)*(-6 + 4 + 1) + 3*y**4 - 6 + 6).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -4 + (-2 + 0 - (-46 - -41))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -227*q**2 + 2972*q - 272. Calculate z(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the third derivative of -r**6\/120 - 7*r**5\/60 - 3*r**4\/8 + r**3\/6 + 3*r**2. Let f be h(-5). Let s = f - -34. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - -44?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38028 is divided by 172?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4 and 922235?\nAnswer: 922239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 87385.93 litres in millilitres?\nAnswer: 87385930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3*(-2)\/3 + 1. Let i be -2*(2 + g)*-1. What is the derivative of -2*s + 0 - i + 4 wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 - -4) + -168*(-6)\/(-53)?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 59638 + -35038. What is p rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 85 (base 11) to base 5\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 4*l - 148 + 125 = 0, -2*b + 2*l = -8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-288)\/84)\/6)\/(2*2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 938416 by -5272.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - 4. Let f(p) = -4*p**2 + p. Let k(v) = 7*v**2 - 2*v. Let y(w) = 5*f(w) + 3*k(w). Calculate y(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 8 = 0, z = 3*n + 13762406 + 27838637. Suppose z = 10*f + 128401055. What is f rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5799  (b) 7\/3  (c) -0.2  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 163 + 191 = -4*y, 3*c + 34 = -5*y + 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-10)*110\/44\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 - 309*n - 3. Let q(x) = x. Give c(q(h)).\nAnswer: h**2 - 309*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2737961, 2737963, 2737965, 2737967, 2737969?\n\"Answer: 2*a + 2737959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7380 and 540?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/2*((-48)\/10 + 6). Differentiate -36 + 3*c**3 + c**2 + 12307*c**4 - 12305*c**4 - 3*c**l with respect to c.\nAnswer: 8*c**3 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) 4  (c) -6.1  (d) -0.4  (e) -2  (f) -9\/20\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-393)\/17 + 2\/17. Let k be 1\/(-2)*(13 + b). Put -7, -2, k in increasing order.\nAnswer: -7, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11*x**6 - 24*x**3 - 890*x**2 wrt x?\nAnswer: -1320*x**3 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of -3*w**4\/4 - 28*w. Let t(p) be the second derivative of p**4\/12 - 5*p. What is t(a(o))?\nAnswer: 81*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1411837 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-16)\/(-4 - (-2 + 0)). Let u = 11 - t. Solve -2*c - 3 = -u*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes after 10:00 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -2)\/(28\/42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8319\/500 - -14\/125. Calculate the common denominator of 63\/16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 13*i**3 + 4*i - 3. What is the remainder when 124 is divided by o(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -3.2. Let y = 0.4 - u. Let s be (-61138)\/(-2926) + (-21)\/1. What is the closest to y in -1\/2, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*x + 18*x + 140*x + 2*x**3.\nAnswer: 2*x**3 + 107*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 16\/9, -1, 25, -1\/6, 1, 214\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + f = 50, -2*y - f = -6*y - 65. Let a = 17 + y. Suppose 2*m = a, -24 = 5*u + 2*m + 14. Is -9 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the second derivative of v**3\/6 - 6*v**2 - 14*v. Give n(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2683, 5737, 8777, 11797, 14791, 17753, 20677, 23557?\nAnswer: 26387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 24455365 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 4:04 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001083 rounded to 7 decimal places?\nAnswer: 0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10.8 + 10. Let g = -0.3 - z. Let q = 6467 + -6472. Sort g, 2\/5, q in decreasing order.\nAnswer: g, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = -3*c + 8. What is the remainder when 334 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/(k**(-9\/8)*k)*k))\/(k\/(k\/k**16)) assuming k is positive.\nAnswer: k**(-137\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.1  (b) -436  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + -3 + 7 - -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 4 + 2)*(-2 + 3 + 0) + (2 - 1 + 0)*(-3 + 4 + 0))*(410 + 495 - 305)*(-2*v + 3*v - 2*v).\nAnswer: -1200*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*l**2*q**2 + 7*l**2 - 35*l*q**4 + q**4 + 15*q wrt q.\nAnswer: -4*l**2 - 420*l*q**2 + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 2 + -5 + sqrt(40)\/sqrt(72) + 2.\nAnswer: -3 + sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5209, -10255, -15137, -19855?\nAnswer: -24409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 353526 (base 7) in base 9?\nAnswer: 106360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -98 divided by 6.\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 + 4. Suppose -4*p = -0*p - l, -2*p = -5*c + 4. Suppose -4*x = c*j - 330, -j - 2*x - 2*x + 161 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 7*n**2 - n + 11. Let f(a) = -a**2 - 1. Determine -22*f(s) - 2*r(s).\nAnswer: 8*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 209 - 186. Solve -c = 5*v - 26, 3*c - p = -8*v + 4*v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1064 + 1547*s**2 + 6939 - 1545*s**2)*(3*s - 6*s + 2*s)*(3 + 3 - 4).\nAnswer: -4*s**3 - 16006*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + (52 - 145) - -26?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 297 divided by -4?\nAnswer: -297\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve h = -2*b - 8, h - 18 = 4*b + 2*h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + 154\/2030*-79 - (-27)\/(-15).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 AM and 2:54 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/4 and -1\/920.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1668*w**3 - 126*w**2 - 4 wrt w?\nAnswer: -10008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -2*t + 2. Give q(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m. Let c(p) = p**2 - 3*p**2 - 4*p**2 - 4*p**2. Let s(x) = c(x) - 4*d(x). Factor s(r).\nAnswer: -2*r*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 + -10.8. Let t = h - -0.4. Let r = 117 - 115. Which is the nearest to -0.1?  (a) r  (b) -2  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 914762 (base 10) to base 12.\nAnswer: 381462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2044 + 1413. Let j = u + 581. What is the biggest value in -0.5, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 3*u - 158 = -t, 4*u + t - 635 = 0. Suppose -485 + u = -2*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1971 + -1955 - (3 - (-2 + 4 - -49))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9204231 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3730 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 80*f + 53 + 13 - 57*f - 24*f**2 - f**3 - 64*f = 0?\nAnswer: -22, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 42 + -27. Let z = s + -11. Let o be (26\/65)\/(2\/(-10)). Which is the second biggest value?  (a) z  (b) o  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -62d (base 15) in base 8?\nAnswer: -2561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**0*x**1\/x)**(11\/7) assuming x is positive.\nAnswer: x**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -44\/315?\nAnswer: -44\/315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 309123270.\nAnswer: 2, 3, 5, 1144901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20, -58, -96?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 855 and 684.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2\/3 + 416*z\/3 + 1696\/3.\nAnswer: -2*(z - 212)*(z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 273848 a multiple of 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, 3\/2, -2, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24288 and 64768?\nAnswer: 194304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -78\/163897 - -1181057616\/33271091. Let i = t - -1\/406. Find the common denominator of i and 73\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 20859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -2\/7, -2, -1277\/6, 0.07?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*k + 65 = 1096 + 546 + 898 for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 8*a - 18. Let o be m(6). Suppose -4*x = -5*t + o, t - 5*x - 28 + 1 = 0. Solve -n = -q + 4*n + 4, 0 = q + t*n - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*l + 4*l + 3*l + 0*l + 2*l - 3*l + (-2 + 0 + 0)*(2*l - 2*l - 2*l) - 8*l + 9*l + 20*l.\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -563\/146 - -26\/73. Let a = -3.6 - -0.6. What is the second biggest value in -2\/13, a, c, 1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13 or 3684346?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(180) + -1 + (1 + sqrt(180))*-6 + sqrt(180) + (sqrt(180) + sqrt(180) + -1 + -1 + sqrt(180) + sqrt(180))*4)**2 + 1.\nAnswer: -1872*sqrt(5) + 26090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -79*d + 38*d + 1 + 49*d + (-2*d - 2 + 2)*(-2 - 3 + 3) + d - 1 + 1 as q*d + n and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jqqdijdr. What is prob of sequence dqqd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3670*w - 1960*w - 4921*w)*(-2 + 1 + 2)*(6 - 3 - 2) in the form q + s*w and give s.\nAnswer: -10551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - 5*i**2 - 5*i - 4. Suppose -5*y = 0, 4*h - 3*h + y = 6. Let b be s(h). Solve -b*r + 7*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, o: 4, d: 1, j: 1, w: 1}. Give prob of sequence woov.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 o, and 1 e when three letters picked without replacement from ojxeoenojoxoee?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 3*b + 218 + 0*b + 13*b - 8. What are the prime factors of r(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3596.\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 35*h - 18 + 40 + 6*h - 10.\nAnswer: 41*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4105511 (base 6) in base 4?\nAnswer: 233301103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 5*d + 43. Give y(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12138 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1700) + -4 + sqrt(1700))*1*1 - (1 + -2*-5*(-1*sqrt(1700))**2).\nAnswer: -17005 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -6 - 1*(-52)\/6\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 86451210  (b) 2  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 105 (base 7) to base 2.\nAnswer: 110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3107aa04 + -1?\nAnswer: -3107aa05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*q + 0)*(-18 + 242 + 297 - 145).\nAnswer: -752*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 h, and 2 c when four letters picked without replacement from ahmmmxhccmahcmggamm.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the first derivative of -8\/5*z + 1 - 34\/15*z**3 + 4*z**2 + 2\/5*z**4. Factor u(t).\nAnswer: 2*(t - 2)**2*(4*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2871 - 14352\/5. What is the closest to -14 in 5, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 2 = 5*m. Let u = -34.6 + 34.8. Let h = 146\/621 - 4\/27. Which is the closest to m?  (a) -5  (b) h  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjllllllljj. What is prob of sequence ll?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/(-8) + (-4)\/(-16). Let c be ((-400)\/240)\/((-35)\/9). Sort n, -1, c, -4 in decreasing order.\nAnswer: n, c, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 7*s + 9 = 8*s, 37 = 5*o + s. Calculate the smallest common multiple of 5 and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 59*z**2 - 34*z**2 + 3*z - 2*z**3 - 28*z**2 to v*z**2 + x*z + n + o*z**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2*((-4)\/12 + 4\/3). Which is the nearest to r?  (a) 2  (b) 0.1  (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17856\/3391 less than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -180*f**2 + 4*f**2 + 24*f**2.\nAnswer: -152*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = -3*h + 10, -4*h + 12 = 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-3*(3 + -5*(3 + -4 + sqrt(153)*1 + sqrt(153))))**2.\nAnswer: -4320*sqrt(17) + 138281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -4, 0.02, 475.9 in increasing order.\nAnswer: -4, 0, 0.02, 475.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*c = 37*c + 60. Let a(z) be the third derivative of -4*z**2 + 0 - 1\/60*z**6 + 0*z + 1\/6*z**3 - 1\/20*z**c + 0*z**4. Calculate a(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = m + 4*u - 5, -u - 2*u = m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-14)\/(-21))\/(1\/9) + -13. Let i(s) = -2*s**3 - 7*s**2 + 12*s + 11. Calculate the remainder when i(o) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-837 - 2*a + 1689 - 851 - 222*a**2)*(-4 - 2*a + 4)*(0*a + 0*a + a**2).\nAnswer: 444*a**5 + 4*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2 and -3088063312.\nAnswer: -3088063312.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 22 = 8. Suppose v = 4*m - 8, m + 4*m + x = -3*v. Let h = 0.6 + 0.4. Which is the biggest value?  (a) h  (b) 4\/3  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2532403403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add -2082.5 and 6.6.\nAnswer: -2075.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 133 + -129. Suppose -14*q = o - 298. Suppose 6*k + q = 3*k + 4*x, -2*k - 14 = -4*x. Is -13\/2 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17 - 6*j - 17)*((-35 - 39 + 16)*(0*j - 3*j + 5*j) - 1 + j + 1 + (-j + 0 + 0)*(-6 - 3 + 2)).\nAnswer: 648*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 404 - 245. Suppose -5*m + 43 = 18. Suppose -711 = -m*h - g, 2*g = h - z + 8. What is the greatest common divisor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the third derivative of 0 + 1\/24*t**6 + 3\/8*t**4 + 0*t + 9*t**2 + 0*t**3 + 0*t**5. What is the second derivative of o(w) wrt w?\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -32 from 57058.\nAnswer: 57090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9025*t + q = -9016*t - 19, -3*t = -4*q - 43 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 2*n - 4*s, -3*n - 4*s = -20. Let q = -6 - -16. Suppose 0*v - 5*v + q = 0. Is v <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*i, 25*d - 2*i + 19 = -13*d + 9*d + 19 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 5*m - 28 = 0, -3 - 3 = 3*x - 3*m. Suppose -q - 1804 = -0*b + 2*b, x*q - 3608 = 4*b. Find the common denominator of b\/(-80) + 4\/(-10) and -85\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of d**5\/150 - d**4\/60 + 8*d**2. Solve b(n) = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2*i - 2)*(-10*i + 14*i + 9*i) - 10*i**2 + 2*i**2 + 3*i**2.\nAnswer: -31*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4766162?  (a) -5  (b) -2  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-26)\/(-91))\/(8\/14)*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -2*f, -34*f + 35*f = -j - 173. Let t = 171 + j. Sort -3, 13, t in increasing order.\nAnswer: -3, t, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36 - (-33 - (-93 + 30))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -5*y**2 + 291*y - 587. Let v be l(56). What is the third biggest value in -6, -0.13, v?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*g - 59*g = 660 + 138 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*y + 10*y - 8*y)*(-1 + 0 + 2 + (-2 - 14 - 16)*(-3 - 2 + 1))*(2*y**2 - y**2 - 4*y**2).\nAnswer: -4644*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j + 15. Let w be k(-7). What is the third smallest value in -2\/3, -1\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -121332*d + 484 = -121376*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 2*p - 1 = -2, -5*p - 10 = 0. Sort a, 0, -7 in ascending order.\nAnswer: -7, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11001011110 + 100?\nAnswer: 11001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -445807, 2, -4 in descending order.\nAnswer: 2, -4, -7, -445807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(2\/17))**(-7\/5)*q**(1\/11)\/(q\/q**9) assuming q is positive.\nAnswer: q**(1282\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50429.\nAnswer: 211, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 3*f**2 - 73*f - 136. Give z(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33609707.\nAnswer: 199, 168893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 96*z**2 + 9*z - 4. Is w(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 512*o - 80 = 520*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 >= 7254358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by -138088.\nAnswer: 3\/69044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-4)\/((-12)\/(-27)))\/1*(-12)\/54. Let c(o) be the third derivative of -1\/96*o**4 + 1\/240*o**5 - 9*o**j + 0 + 0*o + 0*o**3. Find z such that c(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(4\/3)\/(i**(1\/8)\/i)*i**(-3)*i*i*(i*i**(-5)*i)\/i assuming i is positive.\nAnswer: i**(-67\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 80\/13 - ((-72)\/39 - -2). Let a(n) = -7*n + 9. Let o(f) = -4*f + 5. What is v*a(j) - 11*o(j)?\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*v, -v = -5*q + v + 3. Sort q, 3, 0 in ascending order.\nAnswer: 0, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5330.\nAnswer: 2, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (4 + -10 - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 397011833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 70*a**2 + 78*a**2 - 1.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the third derivative of u**6\/180 - 2*u**5\/5 - 13*u**4\/12 + 74*u**3\/9 - 2*u**2 - 351*u. Suppose s(a) = 0. What is a?\nAnswer: -2, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -9*z + 8*z, 2*z - 23 = v. Let r = -35 - -24. Which is smaller: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -10, -3, 4, 11, 18, 25?\n\"Answer: 7*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -196194 divided by 98097.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 168\/235 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 24326403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (0 - -34 - ((-67 - -71) + 14))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*u + 261 = 3*m - 64*u, 4*m = 2*u + 348. Solve 71 = 4*y + m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.07548, 8\/5, -11, -9 in decreasing order.\nAnswer: 8\/5, 0.07548, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 21*p + 474. What is the hundreds digit of c(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29252493509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-50))\/(4*1*((-399)\/(-20))\/(-57))?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1190756, 1190919, 1191190, 1191569?\nAnswer: 1192056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-6)\/(-10))\/(2\/10). Suppose -l*n + 4*z + 10 = 0, 2*n + z = -z + 2. Is 101 + n*(0 + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 3*d - 4*t - 191, -5*d = -2*t - 336. Let b = 109 + d. Does 40 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 27\/4 of a century?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 83, 160, 225, 272, 295?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/(-6)*(-18)\/12. Let k = 0.128 + -0.428. What is the smallest value in h, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 606555 and 200.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12*1\/(-1)*(-40)\/(-60).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.052 + 6.248. Let q = p - 1.3. Which is the closest to 1?  (a) q  (b) 2\/5  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -7813921, -7813924, -7813927, -7813930, -7813933?\n\"Answer: -3*z - 7813918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -25.239 from 435.\nAnswer: 460.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yrr when three letters picked without replacement from vrqrvrrrrrqqrvyrrqv?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -20, -3 in increasing order.\nAnswer: -20, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 4*m**3 - 109*m**2 - 68*m + 31. Give o(28).\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25118 = -5*r - 2*l, 7*l + 7473 = 4*r - 12630. List the prime factors of r.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2409524038?\nAnswer: 2, 97, 12420227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-52)\/(-5005)*15\/1)\/(8\/28).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 7, f: 6, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18 - (1 - 24)) + 0 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/25?  (a) -100  (b) 1\/3  (c) -11110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -217227, -217229, -217233, -217239?\n\"Answer: -y**2 + y - 217227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mjtj when four letters picked without replacement from jttqttqjqzpqzmt?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4142 and 3667?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 3*a = 19. What is the second derivative of 581 + 10*u + a*u + u**3 - 581 wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20201211112211 (base 3) in base 2?\nAnswer: 1101101001110010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 61, 4, -4, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30271, -60537, -90801, -121063, -151323, -181581, -211837?\nAnswer: -242091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the second derivative of -u**5\/20 - 11*u**4\/12 + 7*u**3\/3 - 5*u**2\/2 - 6*u. Let z be s(-12). Let m = 7 - z. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59254, -59220, -59186?\nAnswer: -59152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 126, 2, 1 in descending order.\nAnswer: 126, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2664 and 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -26 - -13040?\nAnswer: 13013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -703 + 703 + f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 - 16*p**2 - 18*p - 2. What is w(17)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-114)\/(-3)*(-3)\/(-6). Let j = q + -17. Suppose -r = 4*d - j*d - 127, 5*d - 3*r - 334 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -2*k + 1. Let q be h(2). Let i(t) = 5*t + 12. Let s be i(-2). Suppose -3 = -2*j + g + 5, 4*j + s*g = 0. Sort -7, j, q, 3.\nAnswer: -7, q, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1680734?\nAnswer: 2, 11, 241, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 124656 + -38995. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) -1\/5  (c) 1\/6  (d) 196  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of 0*z**2 + 0*z**5 + 0 + 3*z + 3\/10*z**6 + 0*z**3 + 7\/12*z**4. Find the third derivative of c(d) wrt d.\nAnswer: 216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:05 PM and 3:32 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 64*g - 3904. Calculate the smallest common multiple of q(74) and 117.\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(2\/3) + 17 + -12 - (-184)\/4?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 346 a factor of 19158366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * -1131.\nAnswer: -339.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -3*g + 23. What is x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 70 - -621. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 11:59 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 + 6*v**2 - 4. Let z be b(-6). Let y(r) = r**3 + 5*r**2 + 3*r. Let h be y(z). List the prime factors of (10\/h)\/((-2)\/(-8)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/7 - (-66)\/14. Let l = 100 + -96. Suppose l*r = p*i - 148, 0*i = 4*i - 2*r - 122. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -6053 and -0.05.\nAnswer: -6053.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2660, -1930, -1212, -506?\n\"Answer: -6*b**2 + 748*b - 3402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, k: 2, x: 1, z: 5, q: 1}. What is prob of sequence zr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -10809, -22312, -33815, -45318?\n\"Answer: -11503*h + 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 41 (base 5) to base 10\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -284 times -0.12\nAnswer: 34.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 4 = 4*j. Suppose 1 = -2*l - j*w - 1, 2*w = 2*l - 18. Is l greater than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108)\/sqrt(4))\/sqrt(9)*-3)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - 129?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.5 or 337?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16445?\nAnswer: 5, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.87821 + -0.8892006. Let o = -0.011 - q. What is o rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4472 and 36636.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x - x - 17*x**2.\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*u**3 - 7*u**5 + 8*u**3 + (4*u**3 - 4*u**3 - 3*u**3)*(0*u**2 + 0*u**2 - u**2) + 1 + u**5 - 1 - 3*u**3 + 4*u**5 - u**3 - 2*u**5.\nAnswer: -u**5 - 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -664743 (base 8) in base 10?\nAnswer: -223715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -5, -16, -65, -176, -373, -680, -1121, -1720?\n\"Answer: -4*r**3 + 5*r**2 + 2*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2149317 divided by 1823?\nAnswer: -1179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 40677575 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -1473*j + 824. Is y(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -5*u - 48. Let n be x(-10). Suppose 0*h - 578 = -2*a + 2*h, -557 = -n*a - 5*h. Calculate the highest common divisor of 26 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 5:27 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -29*q**3 + q**2 + 3*q - 4. Suppose 5*u + 10 = -5. Is v(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-176)\/32)\/(1\/(-6)). Let o = a + 549. Suppose -4*q = 238 - o. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4081.86873 - 5.83273. Let x = 4067 - b. Let v = x - 0.064. What is v rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -45 (base 14) to base 9\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -1\/6, 2\/451, 0.007, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3506 - -4460. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 40, 123, 246, 397, 564, 735, 898?\n\"Answer: -2*o**3 + 32*o**2 + o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*j**4 - j**4 - 4*j**4 + 2*j**4 + 0*j + 0*j + (-2*j**4 + j**4 - j**4)*(1 - 3 - 1).\nAnswer: 7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3445521773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -13282*d - 7847*d - 528*d as f + v*d and give v.\nAnswer: -21657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29 - -31. Let i be ((-5)\/(-15))\/(h\/18). Solve 2 + i = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 425\/2 - 208. Let h(j) be the second derivative of 4*j + 5\/4*j**4 + 3\/20*j**5 + z*j**2 + 7\/2*j**3 + 0. Factor h(k).\nAnswer: 3*(k + 1)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10\/15 - (-69)\/(-36). Let z be (3 - 1 - 0) + 14. Suppose -20 = -5*y, -4*d + y - z = -y. Is d > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*z**2 - z**2 + 8*z**2 - 14*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 141057233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*s - 74*s**2 - 10*s**4 - 89*s**2 + 16*s + 152*s**2 - 9*s**3 wrt s?\nAnswer: -240*s - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 3*s + 7, -s = 2*s + 12. Suppose 7*f = -5*q + t*f - 6, f + 3 = 2*q. Determine w so that 1\/2*w**3 + 0 + q*w**2 + 0*w = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 + 16*n**2 + 30*n + 19. What is f(-14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**3 + 7*n**2 - 4*n - 4. Calculate the remainder when x(-7) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 1 = -2*c, -2*g + 5 + 1 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.17 and -633.\nAnswer: -107.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*l = 5*l + 4*c + 80, 11*l - 6*l = 3*c - c + 40 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 26840 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1685 - -415. Let j = k + 2601\/2. Find the common denominator of -93\/4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 198327 is divided by 40.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -862*d = -863*d + 317. What is the remainder when d is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b (base 12) in base 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.445 + -6.445. Which is the nearest to 0.03?  (a) 4  (b) 2\/5  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1080541*i**2 - 201594*i wrt i.\nAnswer: 2161082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-136*n + 12*n - 40*n)*(-4*n + n - 2*n) + n + 4*n**2 - n to the form y*n + u*n**2 + h and give u.\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2711334 and 981.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d - 7. Let b be j(-7). Let k be b + -2*(-6)\/4. Suppose -2*t = -3*t + k*a + 7, -5*a - 25 = t. Sort 0, t, 4.\nAnswer: t, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 65*w + 42 + 1583 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1, 7, -4, -43, 4.93?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxaavaxaaxvvaaaa. What is prob of sequence avax?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2681*k*m + 3206*k wrt m?\nAnswer: 2681*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18 - 8. Suppose -5*y = -2*g + 4, p*y = -4*g + 5*y + 38. Calculate the highest common divisor of 35 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (52\/(-39))\/(((-80)\/918)\/10). Calculate the greatest common divisor of w and 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*5297\/4*4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1319 - -1363. Solve 0 = 17*t + b + 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 211209?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -205 + 1847\/9. Determine i so that 2\/9*i + b*i**4 - 2\/9*i**3 + 4\/9 - 2\/3*i**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.48206 + 1171067.337?\nAnswer: 1171066.85494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 357 - 80 = 5*z, 0 = 3*t - z - 457. Let p = -154 + t. Let s(i) = -i**2 + 5*i - 1. Let f be s(4). Solve -15 = -p*k + f*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1706 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/24 and -1\/136.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 21012232 (base 4) to base 2\nAnswer: 1001000110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (760419\/(-22))\/9*(-3 + 1) is divided by 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1158373 is divided by 232.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 73592833 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -980, -2074, -3166, -4256?\n\"Answer: v**2 - 1097*v + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 268\/(-6) + (-2)\/6. Let d = -27 - a. Let g(y) = y**3 + 6*y**2 + 3*y - 7. Let r be g(-5). Solve -2*m - 10 = q, -r*m - d = 4*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 6111225 and 4.\nAnswer: 6111229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/225114 and -131\/204.\nAnswer: 450228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.69*0.3.\nAnswer: -0.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 15*o + 20. Let h be m(-4). Let f = 71 + h. Calculate the common denominator of 73\/27 and 1\/2*2 + f\/11.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.6 and 10.49?\nAnswer: -6.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 24*q - 266. Calculate i(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6189352?\nAnswer: 2, 13, 59513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 at most as big as -113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 - 6)*(-135 + 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6659 and -6.\nAnswer: 39954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 - 12*f**2 + 1. Let m be h(12). Suppose -24 = -4*a - 3*l - 1, a = -3*l - m. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 76 - 153 - -144 - 5.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 51\/34*2\/1. What is the units digit of 8725\/10 + 0 - o\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 10732.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -278, 1, -31, -2 in descending order.\nAnswer: 1, -1, -2, -31, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/168)\/((-15)\/((-2700)\/(-40)))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l**2\/4 - 15269*l\/4 + 25614299\/2 = 0. Calculate l.\nAnswer: 4978, 10291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 695 + -696. What is the third smallest value in -73, 0, 2, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(1\/8))\/u*(u\/(u*u**12)*u)\/u)\/(u\/(((u\/(u*u*u*u**9))\/u)\/u*u*u)*u*(u\/u**(8\/7))\/u) assuming u is positive.\nAnswer: u**(-1343\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.9, 0.4, 4\/9 in descending order.\nAnswer: 4\/9, 0.4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 122 - 6253\/51. Let r = 140 + -2379\/17. Let i = m - r. Which is the third smallest value?  (a) i  (b) -5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 + 804 + (-4 - -1). Suppose -4*w - 220 + x = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1455\/776*(-25)\/((-11875)\/(-10))\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, o: 2}. Give prob of picking 1 e and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.75 + -227.25. Let i = d + 229. Put 4, i, -11 in ascending order.\nAnswer: -11, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 20 + -1669 + -9 + 1. Let y = h - -3018. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -8*q**3 + q**2 + 3*q - 2. Give i(2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 4707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*r + 4*r - r)*(-12 - 12 + 8).\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*h**3 - 13278*h**2 + 8846*h - 1474 = 0 for h.\nAnswer: 1\/3, 737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17726100 and 83676.\nAnswer: 4404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dggjgdg. What is prob of sequence gdg?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22 and 83138?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 5*g - 16. Suppose -g*x - 30 = -x. Let i be 12\/8*(-928)\/x. What is the highest common factor of i and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 38928, 3, 0.104, 1\/3, 2 in increasing order.\nAnswer: 0, 0.104, 1\/3, 2, 3, 38928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 - 2*l**2 - 2*l - 1. What is v(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-33)\/(-55)*(-10)\/36?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -15805, -0.01, 0.2 in descending order.\nAnswer: 0.2, -0.01, -15805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 31*b = 34*b - 13, -5*b - 59 = 14*r + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 650, 4612, 15192, 35690, 69406?\n\"Answer: 550*a**3 + 9*a**2 + 85*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e + -2878?\nAnswer: -286a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 81*q*w + 1610197*q - 4072*w with respect to w.\nAnswer: 81*q - 4072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, -2\/5, 2 in decreasing order.\nAnswer: 2, -2\/5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*f = -91*f. Solve 5*a + 20 = -f*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 - 542?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d - 13 = 4*w - 6*d, -3*w + d = 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -420824720 and -0.04.\nAnswer: -420824720.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the second derivative of x**6\/150 - 13*x**5\/25 + 169*x**4\/15 - x - 9. Let g(c) = 0. Calculate c.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 25.3883 to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -0 - 4. Suppose 4*b - 31 = a*b + 5*v, 15 = -5*v. Solve -b = 3*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 257447026 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -490*k + 1899 - 3864 + 5*k**2 + 13970 = 0?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 40 = -3*u, 2*y + y + 12 = 3*u. Calculate the lowest common multiple of u and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bsrooorhoooobsobhjob. Give prob of sequence hoj.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1021010 + 11011111?\nAnswer: 12102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 167 + 207. Calculate the highest common divisor of v and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7519339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 746625 and 3000?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -6 + -1*(-56)\/10. What is the biggest value in -9, h, 0.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**0\/k)**(-12)\/((k**(2\/17)*k)\/(k**(-2)\/k))*((k**(-1))**36)**30 assuming k is positive.\nAnswer: k**(-18226\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -142, 95, 332, 569?\n\"Answer: 237*m - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -647, -649, -653, -659?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1662 - -1704. Suppose 0 = -2*j - 0 - 2. What is the remainder when (-162)\/(1\/j) + 3 is divided by x?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 6*m + 64. Let c be o(18). Let k = c - 1272. Round k to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l\/l**(1\/5))\/l)**5 assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1458 - 1437. Are -1\/3 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 255092862.\nAnswer: 2, 3, 23, 31, 59629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 1.037793 millilitres?\nAnswer: 0.001037793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 33997*w - 9. Let p be (1\/(-1))\/((-1)\/13). Suppose -n - p = -10. Let v be t(n). What is v rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32.943 * -75\nAnswer: -2470.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-5*3*sqrt(140) - sqrt(140))\/sqrt(7))**2.\nAnswer: -15360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of -14*a**5\/5 - 28*a**3\/3 + 21. What is the third derivative of c(b) wrt b?\nAnswer: -336*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 358*d - 1166 = 126*d - 1630 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.148 + -0.14800063. Round b to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2343*c**2 - 1963*c**2 - 6154*c**2 - c**3 to p*c + t*c**2 + u*c**3 + w and give t.\nAnswer: -5774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -17*h + 6*h + 13*h + 1 - 3 - 1. Let x(l) = -2*l + 5*l - 2 - l. Determine -3*o(b) + 2*x(b).\nAnswer: -2*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -205 - -207. Let g = -4 + 3. Put q, 0, g in descending order.\nAnswer: q, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gzz when three letters picked without replacement from ggggzzzzzzz.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 641 is divided by 55.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - 1)*2 - (2 + -6). Let y(s) = 21*s**2 - 2*s**2 - 7*s**d - 4*s**2. Let q(r) = 7*r**2. What is q(y(t))?\nAnswer: 448*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 12343679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-299)\/13455)\/((-2)\/5).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/2 + -1 + -4. Let j = q - -8. Let u(y) = -4 - 3*y**j + 4. Let t(w) = w. Give u(t(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -5 + (-2 - -17) + -15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5151660 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -450, 0, 3 in decreasing order.\nAnswer: 3, 0, -450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 1:00 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 4)*(-3 + 7 - 3)*(8 - 8 - 2*d).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -24*z**3 - z**2 + 1. Give k(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3934\/(-8))\/(-7) - (-1)\/(-4). Let f = k + -97. Let o = 37 - f. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 293*b - 294*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r**3\/4 + 1391*r**2 + 1934881*r = 0. Calculate r.\nAnswer: -2782, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express p - p - 2*p**2 + (753 + 2012 + 646 + 798 - 285)*(-p**2 + 0*p**2 + 0*p**2) as u*p + q + t*p**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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 m = 61249\/76 + -806. Let j = m + 1\/114. What is the common denominator of -3\/4 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27010?\nAnswer: 2, 5, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1020.17466 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 795, 1965, 3135?\nAnswer: 4305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 5, 4\/13 in descending order.\nAnswer: 5, 2, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 n, and 2 u when four letters picked without replacement from {u: 3, n: 1, o: 13}?\nAnswer: 39\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 6 = q. Is (131\/(-2))\/(q\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8036?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.02 - -2702740.\nAnswer: 2702739.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/((p\/(p*p**(8\/5)*p))\/p))**(-29)*(p\/(p*p**12*p)*p)\/p**(4\/19) assuming p is positive.\nAnswer: p**(-13833\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**15)**(-24)*u**22\/(u*u**(-3\/2)) assuming u is positive.\nAnswer: u**(-675\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/(-21) + 38\/(-35). Let a = 15 - 10. Suppose c - 5 = a*k, -1 + 4 = -c - 3*k. Is q bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/451110 and -191\/1066260.\nAnswer: 11728860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 47907948 divided by -11?\nAnswer: -4355268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 35927942059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 - -18. Let c(s) = -s**3 + 4*s**2 + 5*s + 1. Calculate the lowest common multiple of j and c(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-15))\/(26\/(-260)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1.44 from -42.\nAnswer: -43.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32 (base 5) to base 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -604*j - 648*j + 1251*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13 + 6 + 5 - 15*p to the form u*p + g and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 - 1) + (-40)\/(-30). Suppose 3*i - 13 = 4*q, -5*q - 21 = -i + 2*i. What is the biggest value in 2\/15, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 24 = -3*l, 2*l - y = -l + 24. Let h be (1*-1 - 0\/l)*-1. What are the prime factors of (-7)\/9 + h - (-608)\/18?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 7*k**3 - 6*k**2 - 5*k - 5. Let t(d) = 4*d**3 - 3*d**2 - 3*d - 3. Let q be 1\/(2\/(-10) - 0). Let r(u) = q*t(u) + 3*m(u). Factor r(w).\nAnswer: w**2*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12802 - 12802 - 5*i**2 + 63*i as d*i**2 + a + q*i and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 take away 225636247?\nAnswer: -225636236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-5 + 6 + (-1 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*k + 132 = -130 + 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.064 + 5.064. Let u = 2.3 - 0.3. What is the closest to 0.2 in k, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 + 3*v**2 - 7*v + 9. What are the prime factors of t(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (30 - 19) - (-21 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 * 35.4\nAnswer: -35.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 123460729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**3 - 3*i**2 + 27*i + 27.\nAnswer: -3*(i - 3)*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -58 by -1671.\nAnswer: 58\/1671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - d - 2)*(3 - 4 + 0) - 10*d - 2 + 2.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 - ((-2)\/(-2) + -51). Suppose -v = -27 - w. Suppose -2*t - t = -v. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, -0.4, -3, -9191, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1556 * -0.2.\nAnswer: -311.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.14 + -0.16. Let f(q) = 2*q - 1. Let l be f(2). Which is the closest to 3?  (a) m  (b) -2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lig when three letters picked without replacement from {b: 1, j: 4, v: 2, i: 1, l: 1, g: 3}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 38808 and 166488?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9504576 and 2232?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 4, -0.1, 3\/4, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 10*p + 39. Let h(a) = 2*a + 1. Give -6*h(s) + m(s).\nAnswer: -2*s + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + -130?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes after 2:05 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*x - 325 - 780 = 3*b - 47*x + 99, -5*b + 5*x - 60 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -44 divided by -1046\nAnswer: 22\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 45751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 n, and 1 y when three letters picked without replacement from nluujujjuuyyy?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 864 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4513700?\nAnswer: 2, 5, 45137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1219\/25145 + -7\/235. Which is greater: i or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of -n**4\/12 + 5*n**3\/2 - 7*n**2. Let q be y(7). Let p be (q*-10)\/(0 - (3 - 1)). Solve -p*z + 4*j = -3, z - 3 = 2*j - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 + 4*t - t)*(t - 26*t - 15*t) as b*t**2 + l*t + x and give b.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express r - 3*r + 3*r in the form y*r + t and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3878, -3871, -3860, -3845, -3826, -3803, -3776?\n\"Answer: 2*o**2 + o - 3881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 276 divide 63366457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -174*k - 12. Let l be m(-9). What is the units digit of l\/28 - (-3)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1011 + 55.8989. Sort -0.3, -2\/5, s in ascending order.\nAnswer: -2\/5, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 219 divide 2010327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2102 + 2104.959. Let o = d + 0.041. What is the third smallest value in o, -0.5, -2, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -308198*n**2 + 154097*n**2 + 154100*n**2 + 492 + 3*n to h*n + y*n**2 + r and give r.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23, 58, 215, 454, 781?\nAnswer: 1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 35203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mwkkgkmwew. Give prob of sequence mg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -45.3622122 - -45.36. What is p rounded to five decimal places?\nAnswer: -0.00221","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/2*2*(-6)\/(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -7*n**2. Let u(q) = -10*q + 8*q - 2*q + 0*q. Calculate a(u(w)).\nAnswer: -112*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*r + 14 + 26 = -16. Suppose 3*j = 2*k - 6*k + 13, -4 = -j - k. Put 62, r, j in decreasing order.\nAnswer: 62, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 140, 0.1, 0.35, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(136)\/sqrt(8)*5.\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 190 divided by -1222940\nAnswer: -19\/122294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is eight fifteenths of a minute in seconds?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2.3, 1, -1044 in increasing order.\nAnswer: -1044, -2.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, 21, 2 in increasing order.\nAnswer: -4, 2, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2050 - -2097. Calculate the greatest common divisor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lxl when three letters picked without replacement from {x: 3, l: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -123300 (base 4) in base 8?\nAnswer: -3360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (51\/(-204))\/((-135)\/24)*3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 137069\nAnswer: -2\/137069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -685 (base 11) in base 9?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/6)\/(6\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9832 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12517146 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7331494 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-5)\/(35\/42) + 573?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4 - 1)\/(4 + -3). Find p such that -45*p**4 + 41*p**4 - 320*p + 13*p**2 + 300 + 18*p**2 - 39*p**2 + 32*p**r = 0.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74*x = 82*x - 640. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 196177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**2 + d. Suppose -2*w + 2 = -0. Let r(c) = 5*c**2 + c - 4. Let t(k) = 3*k**2 + k - 3. Let q(x) = -5*r(x) + 7*t(x). Give w*q(n) - 2*j(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(204) - (sqrt(204)*-4 + sqrt(204) - sqrt(204))*3))\/(-5*(sqrt(1200) - sqrt(1200)*2)) + 3)**2.\nAnswer: -117*sqrt(17)\/25 + 48357\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, c: 3, w: 5, p: 8, r: 1}. Give prob of picking 1 x, 1 r, 1 w, and 1 p.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 716.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 75 = 6*d. Let b be (44\/(-6))\/(2\/d). Let z = b - 36. Solve -3*p = 4 - z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 898036 is divided by 23620.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -9*i**3 - 47*i**2 - 52*i + 11. Calculate the smallest common multiple of 832 and u(-5).\nAnswer: 14144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 0, -3, -18 in increasing order.\nAnswer: -18, -3, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -290.7759 or -1\/6?\nAnswer: -290.7759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*q - 34*q - 48 = 0. Let c(a) = a**2 + 10*a + 14. Let b be c(-12). Suppose b*l = 33*l + 75. What is the smallest common multiple of q and l?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -740*a + 916*a + 0*a**2 + 23 - 27 + a**2 to v*a**2 + p + y*a and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -2, 0.34136, 4 in increasing order.\nAnswer: -2, 0.34136, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**2 + 1. Let y(c) = 8*c**2 + 4*c + 15. Let n = -32403 - -32397. Give n*l(x) + y(x).\nAnswer: 2*x**2 + 4*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 6324 divided by 2?\nAnswer: 3162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -567, -2335, -5289, -9435, -14779, -21327?\nAnswer: -29085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -245097.2 + 4\nAnswer: -245093.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(192)\/(sqrt(24)\/sqrt(4))*4.\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (133\/(-38))\/(63\/918)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -1 + 14 + -7 - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 + 17\/3. Suppose 0 = 4*z + 7740 - 7792. What is the closest to -1\/2 in 0, v, -1\/7, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -3*o - 2. Let c be b(-2). Let j(u) = 2*u - 6. Let q be j(c). Let m be 5 - (q - (-1 + 1)). Solve -2*i = 2*h + 2*h - 10, -m*h - 5 = -i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**2 + 2*i - 1. Let h be n(2). Let b = 4.28 - -0.72. Let l = 2 - 2.1. What is the nearest to 0 in h, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/40*6\/9.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 66*c + 61*c - 1, 17 = 4*g - 5*c. Solve -2*q - 10 = 5*l - 0, 4*l + g = -3*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 219 + -218.66048. Let y = 0.34 - d. What is y rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times 213.96?\nAnswer: 427.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -314030 + -2?\nAnswer: -314032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -4*n**2 + n + 1. Let p(u) = -7*u**2 + 2*u + 2. Let i(w) = w - 3. Let g be i(0). Let k be 322\/63 - 32\/288. Give g*p(t) + k*l(t).\nAnswer: t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - -3.9. What is the closest to w in 0.4, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventy-six fifths of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*m**2 + 4*m**2 + 2*m**2 - 7*m**2 + 9*m**2.\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20614.613 + 20604. Let o = -10.2 - r. Let q = o - 0.48. Round q to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8022 (base 11) to base 15.\nAnswer: -3267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2 and 3.1.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -64*g**5 + 70386720*g**4 + 35193436*g**3 - 65987544*g**2 - 39592548*g = 0. What is g?\nAnswer: -3\/4, 0, 1, 1099793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 2 = -y + 24, 15 = j + 5*y. Let c(a) = a**2 - 6*a - 1. Determine c(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y, 1 c, and 1 x when four letters picked without replacement from {e: 4, y: 3, x: 1, c: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 + a - 2. Let h be (-13)\/5 + (-9)\/(-15). Let v be b(h). Suppose -3*l = -2*m - 83, -141 = -l - 4*l + v*m. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 3*c**2 + 73*c - 60. Determine s(-25).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 644 - 1266 - 2074820*h + 2074817*h + 622.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 46 + 59. Calculate the greatest common factor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 - 4*i - 3. Let j be v(5). Suppose -3*o + 5 = -4*t, 7*o - j*o - 10 = 5*t. Suppose -2*f + 10 = 4*k, k - 3 = 3*f + 17. Sort f, o, -1.\nAnswer: f, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63\/62 smaller than 101213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3da - 1cadb?\nAnswer: -1c701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6.81 * 662.\nAnswer: -4508.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 4*q, -196*y + 45 = -193*y + 6*q. Let x(n) be the first derivative of n**y + 9\/2*n**2 + 0*n - 19. What is the second derivative of x(g) wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 41 - 38 = -2*m - 2*a, -23*a = -m - 72 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 + -11. Let t = 36 + -32. Suppose -5*j - 7*o = -t*o - 29, -4*o + 28 = 4*j. Calculate the remainder when d is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3042310303 (base 5) to base 12\nAnswer: 20b772b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:17 AM and 3:19 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 36a2271 (base 11) to base 15\nAnswer: 870471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 1\/24, -1\/5, 1\/2, -4 in increasing order.\nAnswer: -14, -4, -1\/5, 1\/24, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -25 times 0.17\nAnswer: -4.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 5) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -2*q**2. Let a(z) = -582254*z**2. Give a(n(k)).\nAnswer: -2329016*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 221 (base 4) in base 15?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 3363*r + 3343*r + 3428*r - 10036*r. Let i(u) = -2*u + u**2 + 2*u. What is i(z(h))?\nAnswer: 9604*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-63)\/(-3213)*(1*-2)\/((-8)\/48)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of -19*o**7\/42 - 11*o**3\/3 - 24*o. Find the second derivative of s(j) wrt j.\nAnswer: -380*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 3*w + 401. Let x be q(0). Let s = x - 8049\/20. Calculate the common denominator of s and -117\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*m + 148 = -21*m. Solve -5*r - m = 4*d, -d = r + 4 + 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1894621.2 months?\nAnswer: 157885.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-25730)\/2*((-16)\/(-4) + -6). What is s rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 369\/8, 11, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -325.49 + -54.81. Let a = -380.4651 - h. Let y = a + 0.157. Round y to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i + 12 = -4*i + 4*u, 3*i - 14 = -4*u. Let r(o) = -o**2 - 2*o - 2. What is r(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67363.27 litres in millilitres?\nAnswer: 67363270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 72 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2383 and 4604?\nAnswer: -10971332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-252)\/(-189)*(-25)\/40?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/(-5))\/((-8)\/40). Let b(j) be the first derivative of -1\/2*j**n + 0*j + 4. Let a(l) = -3*l. Determine b(a(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 12*x + 20. Let b = 76 - 72. What is the least common multiple of 14 and n(b)?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30.14032 + -0.11432. What is p rounded to one dp?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 + 167. Find the second derivative of 0 + j*x**4 + 0 - 5*x**2 - 167*x**4 + 15*x wrt x.\nAnswer: -180*x**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -3 + (-108)\/(-32) - (-4 - 311395\/56)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t + 1. Let s(w) = -4 + 9*w + 2*w - 6*w. Give 4*p(q) + s(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y = -9*y + 28. Suppose 122 = 2*j - y. Let w = j - 10. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1.3  (b) -269.1  (c) 2\/103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100670 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 i, and 2 v when four letters picked without replacement from {v: 2, i: 5, s: 5, p: 3}.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zisn when four letters picked without replacement from zzfnnisv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 9*z - 3 = b, -94*z - 3 = -98*z + 5 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -1) + (-7 - -4) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 p, 1 i, and 1 s when four letters picked without replacement from {q: 5, i: 1, s: 1, w: 8, p: 2}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 589, 2418, 5469, 9742, 15237?\nAnswer: 21954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*w - w - 4*w)*(125668*w - 125688*w - 2*w**2 - w**2).\nAnswer: 36*w**3 + 240*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 94.6 + -39.8. Let i = w + -55. Which is the closest to -4?  (a) 4  (b) -5  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -171.7614 and 79?\nAnswer: 250.7614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*f**5 - 208*f**4 - 428*f**3 - 216*f**2 = 0. What is f?\nAnswer: -1, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 708*w - 17897 + 19821 - 47236 = 0 for w.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1265796 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.064 and -0.27.\nAnswer: -0.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mgdmgvgddm. What is prob of picking 2 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4719 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of -5*l**2 - l - 5. Is n(-5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 - 16*g**2 - 18*g + 18. Let w be v(17). Let b(c) = w - 15*c - 4*c**2 + 5 - 13*c**2 + 19*c**2 - 3*c**2. Calculate b(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.0237, -39, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 24\/(-6) - 283650\/(-70912). Let b = 2836447\/1170048 + h. Find the common denominator of -6 - (6 + 56\/(-6)) and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -116*p + 589. Give m(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10620 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 99 = 6*y. Let h = 36 - y. Solve 0 = -h*k - 0*k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**3 + 7*y**2 - 2*y - 1. Is 6 a factor of p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + -1462035?\nAnswer: -1462036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((96\/6)\/8*(-7)\/2)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of 0 - 3\/4*k**4 + 0*k**3 + 90*k + 0*k**2. Let p(y) = -7*y. Give p(d(z)).\nAnswer: 63*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.127731 smaller than 8\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 68960 and 21874112.\nAnswer: 109370560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 62981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/5*(-6 - 104\/(-24)). Solve d*x + 4 = n + 5, 0 = 4*n - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 67150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together -732541073 and -0.019.\nAnswer: -732541073.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 27885 and 1815.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33136?\nAnswer: 2, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 1332 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*i**2 - 3*i**2 - i**2 + (4*i - 4*i - i)*(-i + i - 2*i) + 11*i**2 - 4*i**2 + 16*i**2.\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.0528322  (b) 3  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 7*c - 2. Let v(h) = -2*h + 2 + c + 8*h**2 - 2. Give v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -196*x - 24*x - 106*x + 167*x.\nAnswer: -159*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 220 - 172. What is the highest common divisor of 54 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 285334 and 8099?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) -1  (c) -119  (d) -86  (e) -136\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3328 - 3337 = f + 4*j, -6*f + 3*f + 5 = -4*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-48235)\/33)\/(2\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, -50, -123, -198, -275, -354?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -3*z + 511, -11*t = 3*z - 6*t - 497. Differentiate 66*v**4 - z - v + 37*v**4 - 8*v**4 - 18*v**4 with respect to v.\nAnswer: 308*v**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 1. Let d(w) = -2*w**2 - 4. Let u(x) = -d(x) - 4*r(x). Let p(j) be the third derivative of -j**5\/20 - 6*j**2. What is u(p(v))?\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 708 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3.06 - 0.06. Suppose 14 = -f + 8. Let q be 14\/4 + (-3 - 9\/f). Sort -0.03, l, q.\nAnswer: -0.03, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w + 11. Let z be j(9). Suppose 0 = z*g - 21 - 25. Let o = g + -3. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -5*j + 16. Suppose 4*l = -l - 5*b + 15, -3*l + j*b = 12. Solve l = 2*y + 2*y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 1 + 6 + 6*k + 7. Let f(t) = t + 1. Let g(v) = -5*f(v) + p(v). Does 9 divide g(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 688 and 11570800?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 72395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, h: 7}. What is prob of sequence hg?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.27 less than -2.0215?\nAnswer: -2.2915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 0 = -x. Suppose -2*z + 0 = -x. Let p(j) = -z*j**2 + 4 - 4. Let f(q) = -2*q. Calculate p(f(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3*(-3)\/18)\/(5\/20)*-18?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -30*x + 51605. Is g(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from {s: 5, l: 1, x: 2, v: 2, d: 4, g: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2 - 42*d - 399. Determine b(-24).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 174 divide 67512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 24.2 - 24. What is the second smallest value in -3.5, w, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -6. Let m = -1 + 1. Let g = 0.5 - m. Which is the third smallest value?  (a) n  (b) -1\/3  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*c - 7*c - 11*c)*(4 + 0 - 2)*((c + 3*c - 3*c)*(-4 + 4 + 2*c**2) - 10*c + 8*c + c + 7*c**3) in the form o*c + x*c**4 + b + a*c**3 + d*c**2 and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4588 and 1184?\nAnswer: 36704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1447289, 1, 21 in ascending order.\nAnswer: 1, 21, 1447289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (684\/399)\/(6\/14). Solve -3*s = -4*b - 14, 6*s + 16 = -u*b + 8*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.82 + 0.02. Let s = 73.3 + -73. Let l = 0 - 4. What is the closest to 1\/2 in s, i, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -2*k**3 - 7*k**2 - 7*k - 203. Let s(q) = q**3 + 3*q**2 + 3*q + 102. What is 3*j(u) + 7*s(u)?\nAnswer: u**3 + 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-24)\/3*-1*(-4 - -3). Put p, 3, 2, 5 in ascending order.\nAnswer: p, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 183497056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 40459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*w**5 - 2 + 2 + (-64*w**2 + 32*w**2 + 31*w**2)*(-5*w**3 - 2*w**3 + w**3).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -6*f**2 - 5750*f + 34584. What is y(6)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 766*a - 6901. Give n(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6448 and 624.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -3*h + 265. Suppose 42*v = 44*v - 4. Suppose v*j - 3*k - 99 = 0, 4*j + 3*k - h - 154 = 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/((-175)\/14 - -10). Let v(j) be the second derivative of 10*j + 0 - 1\/12*j**4 - 5\/6*j**3 + 0*j**s. What is the second derivative of v(l) wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, -88, -6, 5 in descending order.\nAnswer: 5, 3, -4, -6, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8912248 hours to microseconds.\nAnswer: 3208409280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, x: 3}. Give prob of picking 2 x.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19 - -10. Let j = -4 - x. Which is the second smallest value?  (a) j  (b) -0.4  (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 0*s + 0*s - 4*s**2)*(-s + 8*s + 0*s).\nAnswer: -28*s**3 + 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2491431.\nAnswer: 3, 830477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2 + 2*b**2 + (2 - 2*b**2 - 2)*(-3 + 4 - 2) - 70*b**2 + 17225 - 17225 to the form w*b**2 + j*b + q and give w.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*s = q + 62*s - 6, -14 = 5*q + s. Is 13 a factor of q + 39012\/78 + (-4)\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.32358 + -0.72358. What is the closest to 2\/5 in w, 2, -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2092453280 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.131169 to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = v - 5*s + 3*s, -4*v + s = 3. Suppose 0 = -l - v - 9. Let i(f) = f + 3. Calculate i(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/2)\/(8*5\/(-10))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 4*x**2 + 1425*x + 11489. Calculate u(-348).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k**4 - 36*k + k**2 - 61*k + 6*k**4 - 11*k**4 - 2 + 2*k**4 as w*k + c + i*k**2 + s*k**4 + u*k**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r - 359 = -551. Calculate the remainder when 181 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 + 17. Let h be 2\/((-72)\/(-4764)) - 4\/(-6). Suppose 5*u = -o + h, 4*o = 5*o + 2. Calculate the smallest common multiple of t and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-6) - 102\/(-18). Solve -q = -2 - 0, y = -2*n + 5*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 333796320 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2032838, 4065682, 6098518, 8131346?\n\"Answer: -4*i**2 + 2032856*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 673853, 673818, 673759, 673676, 673569, 673438, 673283?\nAnswer: 673104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5113237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -12*d**2 + 50*d + 1751?\nAnswer: -24*d + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 11 = 2*f + 3*h, 4*f - 3*h = -1. Which is smaller: f or 7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -519881685*p**3 + 23697258*p - 4.\nAnswer: -3119290110*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2. Let d(v) = 195*v. Let w(s) = -195*s. Let p(r) = 6*d(r) + 5*w(r). Give j(p(h)).\nAnswer: -38025*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4367346560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -57480*o**2*q + 4*o**2*s + 1288*o**2 + 106*q*s - 7*s + 66 wrt q?\nAnswer: -57480*o**2 + 106*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1, 780, -6\/7, -2\/11, 3\/2 in descending order.\nAnswer: 780, 5, 3\/2, -2\/11, -6\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 42854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 + 17*n**2 + 20*n - 23. Let s be t(18). What is the derivative of 79*k**4 - 80*k**4 + 4 - 13 + s*k**2 wrt k?\nAnswer: -4*k**3 + 26*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 26 - 15. Let o(n) = -n**3 + 10*n**2 + 16*n + 3. Let f be o(y). Suppose -f = -2*d - 14. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/3*((-184)\/(-48))\/23.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/390 and -31\/2626?\nAnswer: 39390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 14, 19, 18, 5, -26, -81?\n\"Answer: -h**3 + 3*h**2 + 3*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -6\/19, 4?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4b (base 14) to base 10.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-2\/25)*n*n**(-10)\/n)**(-35)\/(((n\/(n*((n**(-3\/7)\/n)\/n)\/n))\/(((n**1*n*n)\/n)\/n))\/(((n\/n**(-1))\/n)\/(n**(1\/10)\/n))) assuming n is positive.\nAnswer: n**(22209\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 16501900 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 66.1 + -66. Which is the smallest value?  (a) -2\/7  (b) t  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23091 * -748\nAnswer: -17272068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*f**3 + 3*f + 2 + 45*f**3 - 93*f**3 - 8.\nAnswer: -4*f**3 + 3*f - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-3)*2\/((-16)\/(-24)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 12*y**2 + 66*y + 131. Let h(r) = 7*r**2 + 2*r. What is the remainder when d(-2) is divided by h(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 - v - 11. Let k(h) = 109*h**2 - 6*h - 37. What is -k(l) + 5*x(l)?\nAnswer: -114*l**2 + l - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j - 2. Let z(h) = -3. Let l(w) = 7. Let s(g) = -4*l(g) - 10*z(g). Give -2*b(d) - 3*s(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*u + 2*u**2 - 5*u)*(5*u**2 - 5*u**2 - 2*u**2) + (-2*u**2 - u**2 + 7*u**2)*(2*u**2 + u**2 - 5*u**2).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from {g: 1, j: 14, x: 2, n: 2}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 7*h**2 + 44*h + 413. Let b(f) = 9*f**2 + 45*f + 414. Let n(r) = -3*b(r) + 4*q(r). What is the remainder when n(-33) is divided by 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 33 and 23.\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 184 divide 854395791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 36\/(-28) - 4\/(-14). Let r = 192.94 + -191. Let h = 0.06 + r. Which is the closest to d?  (a) -0.4  (b) h  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a + 6. Let h(v) = -v - 6*v + 3*v + 2*v + 13. Let j be 1 - 2 - (2 + 5). Let i be (0 + -2)*52\/j. What is i*w(y) - 6*h(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkkkkkkgkkkk. What is prob of picking 1 g and 3 k?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**2 + b - 11. Suppose -h = 4*r + 11 + 30, 0 = -r - 2*h - 12. Let i = -6 - r. Give k(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u = -7*u + 45. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -p + 15, -2*p - 3*d = -4*d - 16. Let t(o) = -9 - 2*o + p*o - 9*o. Calculate t(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, 26414, -2652?\nAnswer: -2652","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1000001011100010010000 (base 2) to base 15\nAnswer: -2c55a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2818368085 + -7.\nAnswer: -2818368092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 250*c**2*i**3 - c**2*i**2 + 2*c*i**3 + 41*i**3 - 10*i**2 wrt c?\nAnswer: 500*c*i**3 - 2*c*i**2 + 2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 372257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 15) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -248 = -11*z - 6. Calculate the remainder when 63 is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (11 - (-5 - (-5 - 6))) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14832 is divided by 73.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 - -11606067514497.\nAnswer: 11606067514497.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52118?\nAnswer: 2, 11, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d**3 - 1190*d**2 + 2400*d = 0. Calculate d.\nAnswer: -240, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 0 + 2*i - 3*i - 5 + 3*i. What is f(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 9*d**3 - 3*d + 2. Calculate z(-3).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 15 = a. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 6421151.\nAnswer: 1\/6421151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -6, -36, 5 in descending order.\nAnswer: 5, 0, -6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*t = 76*t - 2*c - 4, -2*c - 18 = -5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3544021 (base 6) to base 15.\nAnswer: -39bc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 15) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11674815 or 11674814?\nAnswer: 11674814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.196442 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66 = -2*j - 48*i, 67*i + 93 = 10*j + 142*i - 72*i for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-3))\/(p*p**(-2))*((p\/(p\/p**(-3)))\/p)\/p*p*p**(-6)*((p\/p**(-2\/5))**(-12\/13))**(2\/5) assuming p is positive.\nAnswer: p**(-3743\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**3 - t**3 + t**3)*(3*t - 2*t + t) + t**4 - 3*t**4 - 2*t**4.\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/20 - (((-90)\/25)\/(-6))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/4 + 17*f\/2 - 16.\nAnswer: -(f - 32)*(f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6126879 centuries to decades.\nAnswer: 6.126879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 37751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 76, 3\/31, 0.3, -0.4, 0.2 in descending order.\nAnswer: 76, 2, 0.3, 0.2, 3\/31, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -46\/377741 and 81\/520654.\nAnswer: 331656598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 15733 bigger than 15732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 0)\/(-3*(-5)\/(-75)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 4*b + 4, 5*c - 22 = -2*b + b. Let m(a) be the third derivative of 0*a + b*a**2 + 0 - 1\/60*a**5 + 1\/8*a**4 - 1\/2*a**3. What is m(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -37, -1\/5, -0.8, 18?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -54, 4.1 in ascending order.\nAnswer: -54, 0, 3, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 357 + -357. Solve 0*g + 2*a = 4*g - 2, k = 4*g + 4*a + 16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 - 23.6. Which is the third smallest value?  (a) 2\/7  (b) n  (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -12*k + 1. Suppose 0 = -2*h + 36 - 38. Determine l(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 88, 90, 92, 94, 96, 98?\n\"Answer: 2*p + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 AM and 10:18 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 398 = 393. Suppose 196 = 3*p - 2*s + 6*s, p - 69 = -h*s. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**3\/7 + 9354*n**2\/7 + 83967*n\/7 + 74616\/7.\nAnswer: 3*(n + 1)*(n + 8)*(n + 3109)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = -k + 7, 2*f - 11*k = -6*k + 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tdteeettdeeeea. Give prob of picking 2 e and 1 a.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of 17*f**4\/8 + f**3\/2 + 41*f**2. What is the units digit of z(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 12525 and 2064891291?\nAnswer: 2064878766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 7*k + 5*k + 10 = 0, -x = 2*k - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**0)**5\/(u**1)**(2\/43) assuming u is positive.\nAnswer: u**(-2\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2*(-3)\/21)\/((-2)\/28*-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of 41*s**9\/168 - 169*s**5\/30 + s**2 - 167. What is the third derivative of y(m) wrt m?\nAnswer: 14760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -399001 - (-1*2 + 2\/2). Round p to the nearest 10000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2200590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 4 + 14*p**2 - 121*p**2.\nAnswer: -107*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 - 14*c**2 - 12*c + 84. Let s be h(0). Calculate the highest common factor of s and 3220.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*c = 3*i - 69*c - 325, 3*i + 4*c - 295 = 0. Solve -3*f + 24*f = -i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 3*w**2. Let n(g) be the second derivative of -55*g**4\/4 - 79*g. Determine n(y(z)).\nAnswer: -1485*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 135 = -d. Let x = -6727 + 6796. Let r = x - d. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -549219.9544 rounded to the nearest 100?\nAnswer: -549200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2407*i**2 - 6*i - 1143*i**2 + 6*i + 7*i**2.\nAnswer: -3543*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -293*p + 1446678 - 1438474 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2710?\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 42476 and 1012468.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 + 174*r + 27261. What is k(-100)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of -w**9\/336 - w**6\/45 + w**3 - 18. Let j(p) be the third derivative of v(p). Find the third derivative of j(u) wrt u.\nAnswer: -540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s. Let j(h) = 4*h**2 - 18*h + 5. Let n(l) = -3*l**2 + 15*l - 4. Let m(q) = -5*j(q) - 6*n(q). What is a(m(b))?\nAnswer: -2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 685073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**2 - 2128*w - 283024.\nAnswer: -4*(w + 266)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2\/341 + -6491\/2046. What is the common denominator of (46\/12)\/(4\/6) and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3221737, 6443477, 9665217, 12886957, 16108697, 19330437?\nAnswer: 22552177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 66545171 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-1\/19))\/(s**(-7)\/s) assuming s is positive.\nAnswer: s**(172\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2315505043 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48\/684)\/(-3*(-4)\/(-18)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7953574860 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 120 + 102 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 5*k - 4*g - 3, -k + 2*g = -3. Let d = -1 - k. Let i(p) = p**2 - p - 2. Let a be i(d). Are -1 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 86536 and 1310336.\nAnswer: 488755328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.1  (b) 17  (c) 4  (d) -38  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -11*v**2 + 8*v - 8. Let t(i) = -40 - 5*i**2 + 5*i - 2*i**2 + 35. What is 8*t(m) - 5*u(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (2*1)\/(((-2)\/14)\/((-4188)\/2443))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 - 8*k. Let a = -15 + 8. Let f be j(a). Suppose f = 3*y + 4*z, -2*y + z + 5 = -18. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/27 - (-56)\/9. Suppose q*v + 10 = 11*v. Suppose -v*s + 4*h - 10 = 0, -2*h - 3*h + 10 = -5*s. What is the lowest common multiple of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -3*a**3 + 21*a**2 - 18*a = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -52*a + 40*a + 12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 6 + (-61 + 45 - -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (304\/(-760)*-18)\/(3\/105*3)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-21)\/(-35)*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sbib when four letters picked without replacement from ibszobd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -164*k + 425*k - 163*k + (0 + 4 - 3)*(1 - 2*k - 1) - k - 5*k + 4*k + k + 3 - 3 in the form r*k + s and give r.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + (38 - (-47 - -12) - (-4 + 7))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 + 29*s**2 - s - 19. Is z(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/6)\/(4\/12 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 648572*w**3*y + 2162*w**2*y - 26*w - 2 wrt w.\nAnswer: 3891432*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (68\/34)\/((-6)\/(-1)*-1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4646.0500704 + -4649.075. Let f = i + 0.0236396. Let b = -3 - f. What is b rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/t**(-12\/5))*t\/((t*(t\/(t*t**(-33)*t))\/t*t)\/t))**(2\/17))**(-37) assuming t is positive.\nAnswer: t**(12358\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 6*f**3 + 6*f**2 + 10*f + 10. Suppose -3*z + 6 - 9 = 0, 0 = -d - 2*z + 1. Let b(y) = -2*y**3 - 2*y**2 - 3*y - 3. Determine d*x(k) + 10*b(k).\nAnswer: -2*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -14582648 divided by -4?\nAnswer: 3645662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 2\/567921?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 9*q = -68. Let k = -18 - q. Which is the nearest to 1\/4?  (a) -4  (b) k  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/(-70))\/(4\/(112\/(-44))*(-12)\/22).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -4*c**5\/3 + 1312*c**4 - 324060*c**3 + 1928648*c**2\/3 = 0.\nAnswer: 0, 2, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9210.976kg to tonnes.\nAnswer: 9.210976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -16712*j + 1016*j - 7648*j + 8056*j - 15294*j in the form u + f*j and give f.\nAnswer: -30582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12815, 12904, 12995, 13088, 13183, 13280, 13379?\nAnswer: 13480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 17\/27, 1\/3, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a + 120 = -5*a. Let l = 37 - a. Put -1, 2\/15, l, -2\/13 in increasing order.\nAnswer: l, -1, -2\/13, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**3 - 6068280*g**2 - 36409761*g - 54614682.\nAnswer: 3*(g - 2022766)*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 646969581 or 0.1?\nAnswer: 646969581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 4 = -9*y + 7*y, -3*r = 5*y - 26 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6\/11, -5, -0.2, -94\/9.\nAnswer: -94\/9, -5, -0.2, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -225 = -h - 4*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 414820391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 3*n + 16, 4*n = -5*b + 68 - 5. Let l = -69 - -153. Let j = -32 + l. Calculate the remainder when j is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (38\/133)\/(2\/105). Solve -3*j = -0*j + 3*p - y, -p + 20 = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -423 + 1?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 666264 by -24.\nAnswer: -27761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 14 - 5*t**2 - 7*t - 4*t + 4*t**2. Let q be v(-12). Factor 1\/4*j**q + 0 - 1\/2*j.\nAnswer: j*(j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/840 and -11\/59325.\nAnswer: 474600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (39\/(-33) - 10\/(-55)) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 + 7*l + 7. Give g(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/(-8) - 1)\/(-2)*164. Let k = 43 - v. Let y(l) = 5*l**2 + 6*l - 8. Let b be y(k). Round b to zero dps.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 410 + 403 + 30*k - 1615 + 403 + 403.\nAnswer: 30*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 - 25*v**2 - 3*v + 62. Calculate n(25).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39875?\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -120 - 136 - 324*x**3 - 92 - 213 + 2*x**2.\nAnswer: -324*x**3 + 2*x**2 - 561","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 9467, 52986, 125521, 227078, 357663, 517282, 705941, 923646?\n\"Answer: j**3 + 14502*j**2 + 6*j - 5042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 924149 and 37444?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 849 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of (9 + -7 - 6)*490\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -162 = -10*y + 2*p, 3*p - 5 - 7 = 0 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from ssghsyus.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1517, -3306, -5363, -7688, -10281?\nAnswer: -13142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 27*t**2 - 916 - 5*t**3 + 2963 - 43*t - 17*t**2 - 10*t**2 wrt t?\nAnswer: -15*t**2 - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*4*(sqrt(117)*-1)**2 - -3*((sqrt(13) + sqrt(39)\/sqrt(3))*3 + 1 + sqrt(13)*-1)**2)*6.\nAnswer: -8172 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 6*r**2 - 12*r + 8. Let i(a) = -a**2 + a. Let c(y) = -5*i(y) - s(y). Let d be c(6). Let t be d*(0 + 10\/4). What is the smallest value in -3, t, -1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 384.8516l in millilitres?\nAnswer: 384851.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 21 + (13 - (-10 - -32)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3606, 13960, 31074, 54954, 85606?\n\"Answer: r**3 + 3374*r**2 + 225*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -655.19 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*a**3 - 20246483226*a**2 + 20246483226*a**2.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(9\/((-189)\/129))\/(9\/63).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**26\/(o*o**(-27)\/o*o)*o*o*o\/o**(4\/3)*o*o*o*(o*o*o**(-30))\/o)**(-25) assuming o is positive.\nAnswer: o**(-2075\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 12:36 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of -5*l**4\/12 - 10*l**2. Let a(q) = -7*q**2 + 13*q**2 - 4*q**2. Determine p(a(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 92 - 65. Calculate the remainder when b is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79929.\nAnswer: 3, 83, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32, -40, -48, -56?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -70.7449497 - 0.0284503. Let t = a + 72.37. Let d = 1.6 - t. Round d to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*c*r**2 + c*r + 2*c + 40*r**2 - 114*r + 298150 wrt r.\nAnswer: -6*c*r + c + 80*r - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, o: 1, u: 6, s: 4, e: 2}. Give prob of picking 1 o, 1 s, and 2 k.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 1 + (1 + 0 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 + 8*d + 4. Let u be k(-8). Find the first derivative of -u - 8 + m**2 + m**2 + 7 wrt m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 4)*(3 - 3 - 2*u) + (0 - 4 + 6)*(7*u + 49 - 49).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nau when three letters picked without replacement from uaunan?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 87443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -17\/5  (b) 0.1  (c) 3  (d) -0.3  (e) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 24*j**2 - 6*j - 1. Let r(x) = 48*x**2 - 11*x - 2. Calculate 4*r(n) - 7*t(n).\nAnswer: 24*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 5 + 224*s**3 + 1.\nAnswer: 224*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 477 a factor of 1367771584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - 9.1. Let o = 0.33 - 19.33. What is the smallest value in v, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -416 + 4997\/12. Let m(i) be the second derivative of 0*i**5 + 0*i**2 + a*i**4 + 0*i**3 + 1\/30*i**6 + 2*i + 0. Find the third derivative of m(p) wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 2*q**3 + 119*q**2 - 59*q + 209. Is 4 a factor of x(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 468923 (base 10) in base 2?\nAnswer: 1110010011110111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 + 17*n - 8. Let u be g(-17). Let i be -42*(2 + u\/6). What is the remainder when 4 + 1 + -2 - i is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.18 * 1.9.\nAnswer: -4.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 - 13. Let k = l + 14. Solve 4*b = 2*z - 0*b + 16, -b = 2*z - k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 - 1 + 0)*(-5 + 0 + 3) + 4 - 1 - 2 - 10 + 7 - 6)*(-144 + 153*z + 144)*(-5*z - 4*z + 6*z) to the form n + k*z**2 + j*z and give k.\nAnswer: 2754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 28 + -21. Calculate the highest common divisor of 77 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 523 - 795. Let v = f - -277. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -887*u - 454. Let h = -466 + 459. Is y(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*x - 12 = 26. Which is smaller: x or -1\/248?\nAnswer: -1\/248","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n = 3*n - 5. Let g be 15*((-2)\/6)\/n. Find o, given that -o**2 - 4*o**3 + g*o**3 + 3*o**2 - o**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1222*y = 1188*y - 544 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*y**3 - 2*y**3 - 3*y**3)*(3*y + 2*y - 4*y) - 3*y**4 + 0*y**4 - 4*y**4 + 0*y**4 - 3*y**4 + 2*y**4 + (-4 + 3 - 1)*(-2*y**4 + 0*y**4 + 4*y**4).\nAnswer: -11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + -1. Let d(x) be the second derivative of 17*x**3\/2 - 3*x**2\/2 + 6*x. What are the prime factors of d(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-6) + 3\/2. Let q(h) be the first derivative of -h**5 + h - 2 - x*h - 4*h. What is the derivative of q(w) wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.13 - -0.13. Let v = u + 8. Suppose 3*w = 4*w + 3. Which is the smallest value?  (a) v  (b) 1\/6  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21030, -21027, -21022, -21015, -21006, -20995?\nAnswer: -20982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 689072 is divided by 98329?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 PM and 1:34 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 4*w + 5*d, 2*d - d = 2*w + 5. Let c(r) = r + 161. Is c(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5*-14 - (-1 + -1). Suppose 105 + 690 = 5*o - 5*l, -4*o = -3*l - 637. Let z = o + u. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1649126657 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 40 = -2*h. Calculate the greatest common divisor of 40 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 PM and 6:30 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is b2c891 (base 14) in base 10?\nAnswer: 6027519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5683503 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -198, -178, -124, -18, 158, 422?\nAnswer: 792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/1335537 and 151\/10684296.\nAnswer: 10684296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 168*y - 1266 = 27*y + 567. Suppose 0 = 5*d + 3*f - 16, 0 = 2*d - 3*f + f. Solve -9 = d*n - y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -20\/3*q**4 + 190\/3*q - 2\/3*q**5 + 64\/3*q**2 - 44\/3*q**3 + 100\/3 = 0. Calculate q.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 21*w**2 + w - 1. Let a be n(1). Let z = a - -34. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 4. What is the smallest common multiple of 12 and (6 - u)*(0 - -8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -25*k**2 + 28 - 83 + 55 - 228*k wrt k.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes after 2:06 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 3*d**2 + 8*d + 2. Let z be q(9). Let b = -893\/3 + z. Let o = -1\/2898 + 35501\/1449. Find the common denominator of o and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the first derivative of x**3\/3 - 9*x**2 + 54*x - 4420. What is f(7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30324 - 2377. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 642354 and 20234?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-61)\/2 - (3 - 28\/8). Let z = m + 82. Is z a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {k: 1, i: 9, m: 6, r: 3}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 38 + -83. Calculate the common denominator of ((-114)\/x)\/(2\/(-10)) and (-11)\/1*(-22)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 202 - -174. Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1979 + 1988. Solve -51 = -n*c - 15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 16 - 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 2*n - 5*m, -2*n + n = 4*m - 14. Suppose -31 = -n*v + 11. Solve v = -3*w + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 8:44 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + 1*sqrt(3)*-6 + sqrt(3) + sqrt(33)\/(sqrt(11)*2 - sqrt(11)) - (sqrt(147) + -2)*5.\nAnswer: -38*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 247*y**2 - 2*y - 1398. Let g(h) = 5929*h**2 - 49*h - 33551. Let q(t) = 2*g(t) - 49*l(t). Differentiate q(i) with respect to i.\nAnswer: -490*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 30885 and 2164009.\nAnswer: 2059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = t - 4, 16 = -5*o + 174*t - 170*t. Let p = 2 + 3. Solve -b + 2*b + 12 = p*a, 3*b - 9 = o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1860255 centuries to years.\nAnswer: 18.60255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8796941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 695210311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fjfx when four letters picked without replacement from frrrrjxxfxxfrjrrr?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -94 - -115 - (36 + 1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*c + 8*c + c in the form p + d*c and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y + 8. Let p be c(6). Find the first derivative of 4 - 4 - 18*o**p + 5 + 1 wrt o.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j**3 - 11*j**3 + 2*j**3 + 6*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 90 + -88. Factor 19 + 50*k**2 + 80*k - 15 - 15*k**b + k**3 + 4*k**3 + 56.\nAnswer: 5*(k + 2)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 6767, 13262, 19783, 26342, 32951, 39622?\n\"Answer: 2*i**3 + i**2 + 6478*i + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of -2*x**2 - 65*x + 1050. Determine u(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1555547 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2908\/(-18902) + 1\/(26\/580844)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 537 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22121103 (base 4) to base 2.\nAnswer: -1010011001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -21*g**2 + 34*g. Let j(d) = -10*d**2 + 17*d. What is 3*i(x) - 7*j(x)?\nAnswer: 7*x**2 - 17*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 40212, 88.\nAnswer: -9, 88, 40212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4721960\/211 - -22379. Find the common denominator of j and -29\/211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 155 divide 1512800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 89 or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -21773.3922 to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/22 and 71\/890.\nAnswer: 9790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/27 of a week?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1834249, 3668382, 5502515, 7336648, 9170781?\nAnswer: 11004914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -55*b - 411 + 85*b + 28*b - 57*b as h + m*b and give h.\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - s**2 + s. Let i(o) = -290*o - 3*o**2 + 2*o**3 + 556*o - 271*o. Calculate -i(t) + 3*n(t).\nAnswer: t**3 + 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 16, -2*v = -2*h - 12 - 54. Suppose -5*u + v = 2. Solve 2*i = u*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 754065, 754066, 754067, 754068, 754069?\n\"Answer: q + 754064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.063211us to milliseconds.\nAnswer: 0.002063211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(136)*-4)\/sqrt(8) - sqrt(17)) + -2 + sqrt(612) - 6*(sqrt(272) - (-1*(sqrt(272) + sqrt(272) + 1) + sqrt(272) + sqrt(272)))) + 3)**2*2.\nAnswer: 460*sqrt(17) + 18036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4489937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 13752\/764*7*(-8)\/(-36)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102894300.\nAnswer: 2, 3, 5, 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 270 and 8300?\nAnswer: 224100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes before 12:50 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13\/(-52)*-20*12\/(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2723 (base 10) to base 6\nAnswer: 20335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, -2\/17, -0.3, -3, 92074, 123?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 23 - 24. Let y(a) = a**2 + a. Suppose 3*m + 5 + 4 = 0. Let d(f) = -f. Determine m*d(x) + u*y(x).\nAnswer: -x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t = -3*c + 6*t + 10, 10*c - t = 55. Solve 0 = 11*f - 9*f - c*b - 19, 3*f = -2*b - 19 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w - 11. Let d(t) = -2. What is -2*b(r) + 11*d(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 990 and 51678?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-46)\/(-30))\/(-2*((-2279)\/1290)\/53)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000006308058 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6270343?\nAnswer: 59, 106277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 0*y = 4*y + 232, 4*z = 2*y + 232. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = -5*d + 5, -3*u + 5*d + 0*d - 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -49*o + 451. Suppose 3*u + 0*u = 3*z + 30, 2*z + 62 = 5*u. What is the smallest common multiple of u and t(9)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - v - 92368 = 40131, -3*x = 3*v - 132507. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (56\/6)\/(26\/39). Let x be 7*-6*(-12)\/p. Find the common denominator of 12*-1*40\/x and 37\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 0) + 8343\/(-378) - (194\/28 - 7).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vlvxqgh. What is prob of sequence xqh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21 - -12) + (-13 - -62) - (10 + 4 + -1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -5*j. Let s(k) = -10*k - 1. Let g(z) = -2*s(z) + 5*t(z). Let i(x) = -14*x + 96. Let c be i(7). Determine g(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*i + 487 = -41622. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(27))**2 + 4 + sqrt(48).\nAnswer: 4*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23 - -14. Let a = 1 + f. Let g = 9 + a. What is the third biggest value in 0, 4, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 3)*(-78)\/52.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19790 + 19866. Solve 2*i + s = 58 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1583086*n**3 + 791542*n**3 + 791550*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4218*u - 75804 = -6653 - 276558 - 142687 for u.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 883362?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -61*v + 5651. Let r(l) = -132*l + 11303. Determine 13*j(h) - 6*r(h).\nAnswer: -h + 5645","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 57867840\/11 bigger than 5260714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2001594 divided by 6?\nAnswer: -333599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-70))\/((-11)\/(-55))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 11698 - 11726 = -5*d, -48 = -4*d + 4*u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 12 - 7 - t + 4*t**2 + 1 as x + n*t**2 + g*t and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 2:15 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from jhhjjjtthjjtthjh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes before 6:53 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 u when three letters picked without replacement from wwwwwwwwwwwwwuwwuwuw.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 190*p - 7497 = 165*p + 7428. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 85 + -1274\/15. Let x = 1\/5 - t. What is the third smallest value in -15, 4\/3, x?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (26\/91)\/(5215\/(-1735) - -3). Which is greater: -51 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 15 = 0, -4*g + 17244 = 2*v + 17270 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 85\/7, -1280, 3\/32, -3, -0.4 in increasing order.\nAnswer: -1280, -3, -0.4, 3\/32, 85\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.4, 0.3, 4\/39, -4?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23837 + 40150 = 3*c + 4*c. What are the prime factors of c?\nAnswer: 3, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2446 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -30 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - -1 - (-184)\/(-168). Let k = 3.09 + -3.02. Which is the nearest to k?  (a) m  (b) -0.4  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 1396468\/2494 + ((-120)\/(-58) - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 13*j**2. Let d(f) be the third derivative of f**4\/12 + 12*f**2. What is u(d(o))?\nAnswer: 52*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-4))\/((-8)\/(-160))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -519 + 515. What is the third biggest value in r, -47, -5?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2\/5 + -7\/30. Let v(k) be the second derivative of -1\/20*k**5 + 0 + 0*k**2 + i*k**3 + k + 0*k**4. Factor v(q).\nAnswer: -q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from {z: 2, e: 1, v: 7, w: 2, l: 2, y: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2397528 divided by 1278?\nAnswer: 1876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -39*d**2 + 8315*d + 6644. What is c(214)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -5*f - 1. Solve -f*r = 14 + 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16162923*i**2*w**3 + 525*i*w**2 - 4*i*w - 667*w**3 wrt i?\nAnswer: -32325846*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 7:07 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-24960)\/(-900))\/(-8))\/((22\/33)\/(10\/(-6))).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -148\/5*p**3 - 96\/5*p**2 + 0 - 16\/5*p - 16\/5*p**5 - 84\/5*p**4 = 0 for p.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-eight thirds of a century?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -3*q**3 - 3*q**3 + 9*q**2 + 9*q + 18*q**3. Let b(k) = -16*k**3 + 2*k + 8*k**3 + 2*k**2 + 11*k**3. Calculate -9*b(c) + 2*f(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1163 divided by -6?\nAnswer: -1163\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/2380 and 17\/2435020.\nAnswer: 41395340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 + 1 - (-2 + -1). Calculate the lowest common multiple of ((-13)\/3 + v)*-3 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*p - 1213 + 1213 + 23*p + 29*p.\nAnswer: 82*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 279417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -98, 0 in decreasing order.\nAnswer: 0.3, 0, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from {y: 1, k: 2, r: 1, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 158057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, -3906, 1, 7, -7, 4 in increasing order.\nAnswer: -3906, -7, -5, 1, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 3*v**2 + 6*v + 7. Determine r(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/5 - 2\/(-5). Let r(i) be the third derivative of -i**5\/60 - i**4\/24 + 9*i**2. Let m = 0 + 1. Let z(v) = 3*v**2 + v. Determine m*z(k) + s*r(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75*q**2 - 35\/2*q**3 + 5\/4*q**4 - 625\/4 - 125\/2*q = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, -39, 3.\nAnswer: -39, -2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 6\/17, -1\/4, -9\/11, 1, 1\/4, 0.5, 0.2?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 n, and 1 j when three letters picked without replacement from hznnjnghnjjgz.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.326 - 9.61136149.\nAnswer: -9.28536149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together -67 and -633.\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10222021 - -12?\nAnswer: 10222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -318*m**2 + 3*m**3 + 318*m**2 + 12*m as y*m**2 + p*m**3 + f*m + t and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1016)\/508*((-45)\/2)\/(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5494235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 418 = k, k - 2*a - 1035 = -622. What is the remainder when k is divided by 70?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 861 - 606 = -17*k. What is the third biggest value in -2\/5, -26, k?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - 7. Factor -w**4 - w**v - 2*w**3 - 14 + 14.\nAnswer: -w**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 + (-29)\/(-29))*(3 + 0). Let y = 5 - 5.5. Let u = y + 0.3. What is the nearest to u in -0.2, o, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -2, -0.5, 8.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9544933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 - (-12 + 2) - -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = -5*l - 7. Let x = -8 - l. Suppose 4*u + 16 = x*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**2 + 16*g + 48. What is p(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -587  (b) 8  (c) -1.3  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 30, -6 in descending order.\nAnswer: 30, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1.4  (b) 1  (c) 1.3  (d) 2\/5  (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + h + 0 + (-2 - 3 + 3)*(1 - 2*h - 1) - h + 0*h + 5*h - 2*h + 2 - 11*h - 14*h + 3*h to the form x*h + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 10 + -25c?\nAnswer: -24c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 84 - 49. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1040 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -375 = -5*l - j + 3*j, 4*j + 312 = 4*l. Let y = 106 - l. Suppose y = 9*x + 2*x. Which is smaller: x or 18\/7?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 102 + 276*c - 102.\nAnswer: 276*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, z: 2, s: 1, w: 2, d: 1, p: 3}. What is prob of sequence dp?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, 1242, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -c - 2, -3*c - 112 = -3*l - 121 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 710 divide 1276451490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 47221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 20 = 2*s, 2*k = k - s. Let a be (-144)\/80 - (k - -1*2). Let n = -5 + 5.02. Is n less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 9:54 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 435 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(26\/(-6) + -1). Let f(t) = -t**3 + 3*t**2 + 6*t - 20. Let o be f(3). Sort k, o, 5 in decreasing order.\nAnswer: 5, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13095823751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 320953 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the second derivative of s**8\/3360 + s**7\/840 + s**6\/720 + s**5\/120 + s**4\/2 + 9*s. Let c(k) be the third derivative of v(k). What is c(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(847) + -3 + 2 - (2 + -2*sqrt(847))) + -1.\nAnswer: -4 + 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 694 + -537. Calculate the remainder when p is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4668\/36)\/((-3)\/9). Let t = g + 619. What are the prime factors of t?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 57 - 33. Suppose -4*r - 24 = 2*j, 3*r = j - 4*j - v. Is (-134)\/j + 4\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 (base 4) in base 14?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-9) - 0)\/((-21)\/21)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -7*q - 4. Let j(x) = -x - 4. Suppose 3*m - 3 = -0*c + c, 3*c = 4*m - 19. Let s be j(c). Let i(d) = -4 - 10*d - s - 5*d. Calculate 13*b(y) - 6*i(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (1 - (-34)\/(-40))*-18 and (-2)\/3*(-171)\/(-44)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 201 or 202?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - (-1)\/(4\/(-8)). Suppose 4*a + 5*i = 28, t = -8*a + 3*a - 2*i + 18. Factor 2*o**3 - 31 + a*o**5 + 31 - 6*o**2 + 6*o**4 - 4*o.\nAnswer: 2*o*(o - 1)*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8, 18, 54, 94, 132, 162, 178, 174?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16 and 43100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 226954728 a multiple of 4277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 127032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*z + 2*z + 4*z - z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -135 + 94.4. Let u = 45 + i. Let d = -4 + u. Sort 1\/2, 1, d in decreasing order.\nAnswer: 1, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z + 3. Let s be p(2). Suppose 61 = v + s*o, -5*v - 3*o + 115 + 80 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 8272 = 8*b + 5*b. Which is smaller: b or -751?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6024581?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -20*o. Suppose 0 = -3*t + 4*d - 7, 4 = 5*t - 3*d + 1. Suppose -t*n + 2*g - 12 = n, -9 = -3*n - 3*g. What is the units digit of v(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (1 + (-1*sqrt(2448))**2 + sqrt(2448) - 1*sqrt(2448)*2).\nAnswer: -12*sqrt(17) + 2451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 930 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vtvtttttvtttvttv. Give prob of picking 4 t.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((8\/(-4))\/(248\/62))\/((-1)\/16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -13*s. Let t be ((-3)\/6)\/((-5)\/10). Calculate u(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 215 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:42 AM and 9:13 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0*((-30)\/500*-25 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**4 + 35*t**3 + 15*t**2 - 275*t - 250.\nAnswer: -5*(t - 5)**2*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1643*f + 1285*f = 588 + 1202 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {c: 1, l: 2, s: 3, o: 1, b: 1, m: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 391, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 123225966 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 28410, 29044, 30100, 31578, 33478, 35800, 38544?\n\"Answer: 211*q**2 + q + 28198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 24 + -5 - 2\/2. Suppose -4*k + 18 + 2 = 0. Suppose -50 = -5*i - k*w, 3*i - 4*w - b = -3*w. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01 times -3.9474?\nAnswer: 0.039474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one halves of a microgram in nanograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1328, 2691, 4062, 5441, 6828?\n\"Answer: 4*d**2 + 1351*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = 3*m + 24, 5*m - 2*c + 15 = 3*c for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 5*y**2 - 4*y - 8. Let f(s) = -1093*s + 6562. Let q be f(6). What is j(q)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.236 and 334?\nAnswer: -78.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -340727?\nAnswer: -5\/340727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 36*s**2 + 5*s. Let b(p) = -2*p - 15425. Give b(n(y)).\nAnswer: -72*y**2 - 10*y - 15425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 60793805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r**3 - 18*r**2 - 42*r - 16. What is d(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 - -6. Suppose 29 = -4*k + 5*r, -r = -3*k - 0*r - 30. Let a = k + u. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 589*m - 91. Let c(x) = -353*x + 45. Let f(s) = -3*b(s) - 5*c(s). Determine f(8).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = -4*h + 15818 - 15839, -20 = h + 4*h - 5*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1858688, -1858693, -1858700, -1858709, -1858720?\n\"Answer: -u**2 - 2*u - 1858685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*i, g = -7*i + 10*i - 402. Let k be 6\/(-10) + g\/(-25). Let u(x) = 22*x - 59. Does 19 divide u(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*r**2\/2 + 41889*r\/4 + 210945\/2.\nAnswer: -3*(r + 10)*(10*r - 14063)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 90177367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -566, -1134, -1700, -2264, -2826, -3386?\nAnswer: -3944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 114 + 5554432?\nAnswer: 5554550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, -5, -19, -4, 10 in descending order.\nAnswer: 10, 2, 0, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + 4 + 20. Let l = -5 - k. Suppose l*c = 235 - 88. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -387*u + 6188. Give t(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -19771725, -39543424, -59315123, -79086822?\n\"Answer: -19771699*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-4)*q*q**(1\/6))\/((q**0*q)\/q)**(-14))**(-1\/3) assuming q is positive.\nAnswer: q**(17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20579.\nAnswer: 13, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-191787*z - 113*z**2 + 191787*z)*(-3*z + 2*z + 3*z + (z - 4*z + z)*(-2 - 3 + 3) + 0*z - 3*z + z + 0*z + 4*z - 2*z + 2*z + 2*z - 2*z).\nAnswer: -904*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 5*p - 134 = -12, -a = -5*p - 34. Calculate the remainder when a is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + r + 64 - 91 = 0, -3*r - 3 = -2*g. Suppose 840 = 4*u - 4*k, g*u + 225 = 7*u - 4*k. List the prime factors of u.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -48*b. Let p(h) = 3*h**2 - 10*h**2 + 5*h**2 + 0*h**2. What is p(l(j))?\nAnswer: -4608*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 9, q: 5}. Give prob of sequence qqqg.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 14123 (base 5) in base 14?\nAnswer: 5d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2789855672 - -173.\nAnswer: -2789855499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (35*(-19)\/532)\/((-5)\/(-40))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.05 + -0.05. Which is the third biggest value?  (a) t  (b) -0.4  (c) 1  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, b: 5, f: 4, c: 1}. Give prob of picking 1 c and 2 f.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 0 - (31 - (-6 - -38)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-2)*1598\/(-2397)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 6392190 to the nearest 10000.\nAnswer: 6390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 3*z**3 - 69*z**2 - 507*z + 389. Let o(v) = 2*v**3 - 46*v**2 - 331*v + 260. Let g(n) = -5*k(n) + 8*o(n). What is y in g(y) = 0?\nAnswer: -5, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2106) - sqrt(2106)*1*-4)\/((sqrt(150)\/sqrt(3) + sqrt(50))*1).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -807 + 3173 - 206 = 146*u - 7038 for u.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of x**4\/6 + x**3\/2 - 17*x**2 - x. Let r = 7 + -4. Give c(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 12 + 28 = 0. Let y be (3\/a*-2)\/(171\/(-114)). What is the second biggest value in -1\/30, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y + 17. Let m be p(16). Which is greater: 1\/11 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2276  (b) -2  (c) 1  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 172*a - 14036 = -147*a for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21088418 + 1316*k - 21088418.\nAnswer: 1316*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 356\/543 - -2\/181. Which is the second biggest value?  (a) -3  (b) 0.1  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gpgp when four letters picked without replacement from {g: 9, p: 11}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of q**5\/10 - 7*q**4\/12 - q**3 - 7*q**2\/2 - 3*q + 6. Let h be k(5). What is the greatest common divisor of 6 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1828090506 rounded to 3 decimal places?\nAnswer: -0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8200.74 + -128.69396.\nAnswer: -8329.43396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -369 = 53*p - 62*p. Let s = 10 + 5. Calculate the remainder when p is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1002001 (base 3) to base 5\nAnswer: 11114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2. Let b(y) = -y**3 - 2*y**2 - y + 2. Let f(u) = b(u) + 2*c(u). Let t be f(0). What is q in 0*q - 2\/5 + 2\/5*q**t = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22 - 27 - 133763\/(-7)?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-8)\/3)\/(6\/18). Let i(w) = -2*w - 10. Let n be i(p). Let q = -1 + n. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 - 10 + 7)*(-4*i + 6*i + 0*i)*(-2*i + 0*i - 3*i) + i**2 + 4*i**2 - 4*i**2.\nAnswer: 131*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 407\/312 - -3\/104. Let k = -34209 - -34209.2. Sort k, 0.3, i, 4.\nAnswer: k, 0.3, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27 and 24298380?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = d - 11. Suppose -4*b + 11 = -d. Suppose -b + 1 = -z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 2*o. Let f(w) be the first derivative of -w**2\/2 - 482*w + 541. Determine u(f(t)).\nAnswer: -2*t - 964","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*s = 16*s + 8. Let p(l) = l**2 + 2*l + 4. Let r be p(s). Let b = r + -6. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 3. Suppose 4*i - 1 = m, x*m + i - 5 = 8*m. Let y = 0.01 + -0.01. Which is the closest to m?  (a) y  (b) -5  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-56)\/(((-4480)\/(-60))\/(-32)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a + 2047 = 13*a + 5*b, -4*a - 4*b + 2724 = 0. List the prime factors of a.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*u + 8*u - 2*u = -400 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 8304, 19339, 33104, 49599, 68824, 90779, 115464?\n\"Answer: 1365*t**2 + 6940*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 588 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in three eighths of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 3 = 5*i. Let m(z) be the second derivative of z**4\/2 - z**3\/6 + 14*z. Calculate the remainder when 8 is divided by m(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.07, 15, -55114 in increasing order.\nAnswer: -55114, 0.07, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -142 + 416 - 135 + 9648*v - 139.\nAnswer: 9648*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -303.5, -0.4, -41.7, 4 in increasing order.\nAnswer: -303.5, -41.7, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v - v + v + (-3*v + v + 5*v)*(2 - 5 + 1) + 2 - 2*v - 2 + (4 - 1 - 1)*(4*v + 0*v - 2*v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5202950128 to the nearest integer?\nAnswer: 72131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together 128213212072 and -4.\nAnswer: 128213212068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(6\/(-8))*18*(-8555)\/(-3480).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 5*z - 15. Suppose 0 = -35*v + 97*v - 558. Calculate r(v).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2488 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 6 = -6*t + 7*t, -2*c - t + 6 = 0. Suppose 2*v = -2*v + 1320. Suppose -2*h - v = -4*l + 3*h, -c*l = -5*h - 245. What are the prime factors of l?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 25906*t**5 - 57*t**4 + 5612890*t.\nAnswer: 518120*t**3 - 684*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -424.227 - 0.773. Let y = 430 + p. Put y, 1, 0.4, -1\/2 in increasing order.\nAnswer: -1\/2, 0.4, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**4\/7 + 2418*i**3\/7 - 746394*i**2\/7 - 70250906*i\/7 + 6349429020.\nAnswer: -2*(i - 473)**3*(i + 210)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5118974 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6 + 53?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0, -0.4, -77, 5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i + 7. Let b(w) = -2*w - 8. Determine -4*b(t) - 5*q(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 1 - 3 + 2 - 1 - p. Let z(i) = -12*i - 15. Suppose -11*o = -10*o + 3. Let r = o - 12. Determine r*h(s) + z(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 41, 76, 113, 146, 169?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2033*c = -2026*c - 70 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 51a0 (base 11) to base 8\nAnswer: 15346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/9 - 106*f\/9 - 220\/9.\nAnswer: 2*(f - 55)*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.519211 rounded to 3 decimal places?\nAnswer: 0.519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -134700 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -130 in 3, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**4\/3 + 28*a**3\/3 - 88*a**2 + 592*a\/3 - 416\/3.\nAnswer: 4*(a - 2)**3*(a + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.323*0.1.\nAnswer: 0.1323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(((sqrt(77) + sqrt(77)*2)*2 + sqrt(77) + -6*-2*sqrt(77))\/(sqrt(35)\/(sqrt(20)\/sqrt(4))*-5))**2 + -3.\nAnswer: -4046\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 268424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**2 - 91*o - 940. Let l be x(-79). Solve 4*a + l = 0, 59*f - 60*f + 5 = -4*a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*r**2\/2 - 12*r + 120.\nAnswer: -3*(r - 4)*(3*r + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -17*x**2 + 3943*x + 216. Give c(232).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 8 = 18. Let c(h) be the third derivative of h**6\/720 + h**5\/12 + h**4\/12 - h**2. Let s(v) be the second derivative of c(v). Determine s(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**3 - 22*n**2 - 503*n + 170.\nAnswer: (n - 17)*(n + 10)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a + 3*k - 22, 6 = -0*a + 2*a + 4*k. Let f(b) = 2*b**3 + 6*b**2 + b + 7. Let h be f(-3). Suppose -i + h = -a. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 70*z - 85. Suppose -17 + 2 = -3*v, v + 335 = -4*w. Let n(a) = 5 - 3 - 7*a + 4 + 2*a. What is w*n(g) - 6*s(g)?\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (208\/(-12))\/(-4)*3. Let r(v) be the first derivative of 26\/3*v**3 - 5*v**2 - w + 0*v. Find the second derivative of r(s) wrt s.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 16902, 16915, 16946, 17001, 17086, 17207, 17370, 17581?\n\"Answer: r**3 + 3*r**2 - 3*r + 16901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1003153 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 169, 170, 171, 172, 173, 174?\n\"Answer: k + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22210 + 211110?\nAnswer: 1011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 3*j**2 - 3*j**3 + 6*j**2 + 5*j + 2*j**3 - 12*j**2. Let c be v(-5). Suppose -i = c + 3975. Round i to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 79787 by -34.\nAnswer: -79787\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 11  (b) -5\/3  (c) -0.1203  (d) 2  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 111518957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 236*n - 13451698 = -13450518 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the first derivative of 4*x**3 + 0*x - 12*x**2 + 71 + 3\/2*x**4 - 3\/5*x**5. Solve f(b) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6, -63, -182, -345, -546, -779, -1038, -1317?\n\"Answer: w**3 - 31*w**2 + 17*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 3*j**2 + 14*j + 1. Let m be y(-6). Let z be 32\/40*(m\/2 - 0). Let s(t) = -3*t + 25. Let r be s(z). What is the third smallest value in 8, r, -3\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2013*n + 793*n - 159942 for n.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 - 2*o**2 - 2*o. Let f(i) = i - 6. Let v be f(9). Let b be l(v). Factor 1 + 2*p**2 - b*p**2 + p - p.\nAnswer: -(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n + 40 - 118 = 0. Solve o = 2, 2*h - 10 = -n*o + o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 97077960 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 9*i - 2. Let j be x(1). Is 1360\/1 - (j + -8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -69 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the second derivative of 77*q - 49\/60*q**4 - 90*q**2 + 0 + 14*q**3. Suppose c(v) = 0. Calculate v.\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 + w**3 + (0*w**2 + 2*w**2 - w**2)*(0*w + 2*w - 5*w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -59255269 - -20?\nAnswer: -59255249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 11:39 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 9*l - 7*l - 14, 0 = 2*n + 4*l - 10. Solve -n*j - 2*j + 5 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a factor of 96104764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 4 = 6, g - j = -7. What is the closest to -1\/7 in -3, -0.2, -2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 PM and 6:32 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4097 + -1055. Calculate the highest common divisor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-1)*g**(-1\/10))**45)**(3\/4) assuming g is positive.\nAnswer: g**(-297\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 23*s. Let k(o) = -691333 + 23*o + 691333. Give h(k(z)).\nAnswer: 529*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-25 - 332\/(-20)) + 3*2\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -176 - -266. Let w = v + -89.9. Which is the closest to 20\/9?  (a) 0  (b) 0.4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - x + 0)*((1 - 1 - 1)*(0 + 1 + 0) + 2 + 1 + 1)*(3 + 1 - 5).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -3*a**3 + a**2 - 4*a - 4. Let d be k(4). Let n = d + 335. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + -1010?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12 + -14. Let m(k) = 3*k + 15. Let p be m(-3). What is the smallest value in 0.2, d, p, -4\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 11, w: 3}. What is prob of picking 2 w?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**2 - 14*w + 8. Let i be x(14). Suppose -i = 4*m, -3*m = -5*g - 5*m + 76. Let n = g + -63\/4. What is the closest to 1\/5 in 3, n, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, a: 1, t: 1, l: 2}. What is prob of sequence lat?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of 19\/2*a**2 - 85*a + a**4 + 0*a**3 + 0. Differentiate s(v) wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*k - 15 = -47*k. Suppose 3*d + d - 16 = -4*r, -8 = -k*d + r. Factor 0 + 15\/7*v**4 - 36\/7*v**d - 6\/7*v + 27\/7*v**2.\nAnswer: 3*v*(v - 1)**2*(5*v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 453531768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (35\/31 - 1)*((-40062)\/(-396) + -101).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k**2 + 2 - 2)*(8*k - 9*k**3 + 0*k**3 + 14*k**3).\nAnswer: -10*k**5 - 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = x - 34, 0 = -5*x + 6*x + 5*u - 39. Calculate the highest common factor of 154 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 488 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 171515 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 12*d**2 - 63*d - 223. Does 20 divide a(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 103*v + 2046. Give b(-20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of -2*l**7\/21 + 2*l**6\/15 + l**5\/5 - l**4\/3 - 2*l. Factor b(s).\nAnswer: -4*s**2*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2\/51445 + -462517\/12552580. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8259.72056 - -0.018\nAnswer: 8259.73856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 60, 18, -379.\nAnswer: -379, -2, 18, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.3934 and 1.91.\nAnswer: -4.571394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of -12*r**5\/5 - r**3\/3 - 149*r**2\/2 + r + 276. Find the second derivative of i(h) wrt h.\nAnswer: -144*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 202820 is divided by 101387.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/15)\/((-720)\/3300*22).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3853366244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of -1\/6*p**3 + 0*p - 1\/20*p**5 + 0*p**2 - 5 + 3\/16*p**4. Factor s(q).\nAnswer: -q**2*(q - 2)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8\/5 - 2. Let t = -7.568 - -0.168. Let f = -7.5 - t. What is the closest to f in -3, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 234622 or 234598?\nAnswer: 234598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 - 17*l**2 - 38*l + 2. Let h be g(19). Solve -5*b + 3*b - h = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.106 + 4.706. What is the nearest to 56 in m, -4\/3, -2, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-10)\/12)\/5*80\/120)\/(2\/(-2)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = -4*n + 38, -1760*i + 1763*i = 3*n - 18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 AM and 5:21 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -3*a + 3. Let m be (-1)\/(-12)*69*-4. Let v = m + 26. Give f(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((sqrt(156) - (sqrt(156) - -2*sqrt(156))) + sqrt(156) + sqrt(156)) + sqrt(156))\/(-2*sqrt(432)) - ((sqrt(1573) - sqrt(1573)*-2)*-6 + 0)**2.\nAnswer: -509652 - sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 + 9 - -1) + (-21 - -66 - 23)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2628\/(-99) - 642\/(-1177)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - -3)\/(2 - 0). Suppose k*u = 6*u - 8. Let o(q) = 0 + 2*q**2 + 7 - 6*q**u - 1 - q**3 + 5*q. Calculate o(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1157292 and 85374.\nAnswer: 10415628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 16 + -46 - ((-4 - -3 - 2) + 14)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 9633 = 4*k. Let w = -2081 + k. List the prime factors of w.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -7*h. Let m(d) = -3*d. Let v(p) = 6*g(p) - 13*m(p). Let w(s) = -19*s**2. Determine v(w(k)).\nAnswer: 57*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = 79 - 74 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 180733?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of y**4\/4 - 4*y**3\/3 + y**2\/2 + 2*y - 6. Calculate n(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 251640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69*h**2 - 215*h**2 + 78*h**2 + 64*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 0*h = 5. Is (-12)\/30 - (-787)\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1.5  (b) 0  (c) 0.022  (d) 0.5  (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*m + m + 3*m**2 - 4*m to the form q + j*m + s*m**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 296706461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1158764*t**2 + 7760895?\nAnswer: -2317528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 1 + 10. Suppose 3*x + 2*x + 10 = 0, 0 = 2*y + 2*x - 6. Suppose -p = -2*p + y. Calculate the remainder when p is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.5056 take away 560047926?\nAnswer: -560047924.4944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -58, -327, -808, -1507, -2430, -3583, -4972?\n\"Answer: -u**3 - 100*u**2 + 38*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((130\/(-75))\/13)\/((-2)\/3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2366, -4729, -7092, -9455, -11818?\n\"Answer: -2363*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 42006 = -2*r + 204504, 2*a - 81228 = -4*r. What is the thousands digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1110)\/(-120) - 9)\/(20\/(-30))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than 6274.7?\nAnswer: 6275.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*a + l, 0 = 3*a - 2*l - l - 15. Let w be (4\/((-2)\/1) - -3)*a. Let b(h) = -h**2 + 5*h - 2. What is the units digit of b(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11\/4, -2\/9, 4, 2.3, 0.7, 2\/29 in decreasing order.\nAnswer: 4, 11\/4, 2.3, 0.7, 2\/29, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2903283 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1481902017?\nAnswer: 3, 19, 347, 74923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 17*v**2 + 686*v + 667. Give q(-38).\nAnswer: -853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 21 + -14053023?\nAnswer: -14053002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the third derivative of 1\/1980*a**6 - 1\/6*a**3 + 1\/132*a**4 + 0*a + 0 - 1\/330*a**5 + 2*a**2. Let o(f) be the first derivative of b(f). Factor o(p).\nAnswer: 2*(p - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56071 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (9 - (-34)\/14) + -12\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 26 = 3*c, 12*t - 4*c + 224 = 8*t + 212 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/((i\/(i**(4\/3)\/i))\/i))*i**(1\/4)*(i**(2\/29)\/i)\/(i*i**(-7)))**(-20) assuming i is positive.\nAnswer: i**(-8675\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 1515*v. Let y(m) = 3*m**2 - 2*m - 192. Determine l(y(g)).\nAnswer: 4545*g**2 - 3030*g - 290880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 2*m = m + 165, -4*t = m - 133. What is the remainder when t is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 20*m + 6. Let y(u) = -4*u - 1. Let h(a) = -2*p(a) - 11*y(a). Let k be h(3). Suppose 5 = 4*z - k. Solve -5*v = -z*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12103221223 (base 4) to base 2\nAnswer: -110010011101001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, -2, -9 in decreasing order.\nAnswer: 2, 1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 9*b. Suppose -p = 2*j + 8, 4*p - j + 0*j = 13. Let l(c) = -2*c**p + 122*c - 122*c. Calculate l(a(m)).\nAnswer: -162*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -327*z**2 + 25841*z - 597. Determine x(79).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -55*m - 9021 + 5501 for m.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-657)\/36*391\/(-28543)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 41\/3718?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*u**3 - 16 + 16)*(9 - 1 - 6)*(-1 + 3 - 1) - 4*u + 2*u**3 + 4*u.\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 8*j = -12. Let p(g) = -6*g + 15. Let m(t) = -3*t + 8. Let b(n) = -11*m(n) + 6*p(n). What is b(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((3\/(-4))\/1)\/(3564\/864). What is the closest to t in 1, -2\/7, 5\/23?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17 + 59. Suppose 12*t - 7*t = -2*a + 20731, 3*a = 3*t - 12426. Suppose 11*p + u = t. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 88 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -61 - 10*z + 61 + (0*z - 2*z + 0*z)*(-3 + 1 + 0) - 3*z + 2*z + 2*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - 4*f - 3, 2*j + 2*f = -2*f + 2. Let w be j\/8 - (-35)\/(-312). Which is bigger: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + 3 + 2)**2 + (sqrt(1872) - (sqrt(1872) + 3*sqrt(1872)))**2.\nAnswer: 10*sqrt(13) + 16886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 104763327 to the nearest integer?\nAnswer: 10235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8 and -757091.2.\nAnswer: -6056729.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2029*11.\nAnswer: -22319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -4*i**2 + 98*i - 212. What is l(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3248 - 3248 + 1442*g**2.\nAnswer: 1442*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, k: 1, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 55513 (base 8) to base 5\nAnswer: 1221441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -2*l - 8*l**2 - 13 + 6*l**2 + 4 - 19*l. Let r be k(-6). What is the highest common factor of r and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (1 - (0 + -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 10*l**3 + l**2 - l. Calculate t(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 0 + q**2 + 0*q**2 + (4 + q - 4)*(-3*q + 5*q + 2*q).\nAnswer: 5*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7652, 7651, 7650?\nAnswer: 7649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 + s**2 - 1. Suppose 12*q - 9 = -21. Let v(g) = 10*g**3 - 5*g**2 + 3. Calculate q*v(d) - 3*y(d).\nAnswer: -7*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/40*-1*30\/(-27).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (14\/175*-5)\/((-12)\/65). Is 1 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -40963 and -0.4.\nAnswer: 16385.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15*(-9)\/(-2430))\/((-14)\/(-28)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3539.\nAnswer: 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13355429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s\/(s**(-3\/5)*s))*s**(-7)*s*s\/(s*s\/(s*s*s\/(s\/(s\/(s*s*s*s**(1\/4)))*s)*s))*s**(1\/5) assuming s is positive.\nAnswer: s**(-133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1))**(-1))**(-15) assuming k is positive.\nAnswer: k**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 146 - 1274 = -5*v, 1426 = 5*g + 2*v. List the prime factors of g.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -848*g**2 + 491*g**2 + 489*g**2 - 140*g**2.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, c: 7}. What is prob of sequence xc?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 102 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 34445*a**2 - 1660*a + 20.\nAnswer: 5*(83*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96920?\nAnswer: 2, 5, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 371\/2 in -1\/3, -3, -0.3, -3\/32?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/7?  (a) -1  (b) 0  (c) 1  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -100*b**3 + 697*b.\nAnswer: -600*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of s**4\/4 + 6*s**3 - 3*s**2 - 10*s + 242. Let c be y(-18). What is the highest common factor of 490 and c?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 10, j: 2}. 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: Is 694 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - -3. Suppose 4*p + 3*y = -q*y + 31, 5*p - 3*y - 11 = 0. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 280965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-5)\/(-15) + -1)*-19704 + 5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*w + w + w)*(-1 + 1 - 2) - 1 - 2*w + 1 + 0*w + w + w)*(3*w**3 + 0*w**3 - 2*w**3).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -336, 0.035, 4?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s**3 + 2*s**3 - 3*s**3 - 4*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*j + 0*j**2 + 26*j - 2*j**2 - 3*j.\nAnswer: -2*j**2 + 23*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 119478.73525 - 119501. Let l = i - -12.265. Let a = -10 - l. Round a to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/110 and 11\/100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (0 + (sqrt(125) + 1)*3)**2 + (6*(sqrt(10)\/sqrt(2) + -4) + -6*(4 + (sqrt(5) + 2*sqrt(5) - sqrt(5))))**2.\nAnswer: 666*sqrt(5) + 3613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjajzjaaxanj. Give prob of sequence xzn.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -9.1. Let p = k + 0.3. Let t = p + 3. Round t to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10649533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.06 + 0.24. Let i = 0 + 0.1. Sort u, -4\/3, i in descending order.\nAnswer: u, i, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24 (base 11) to base 4.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s + 5*s + 0*s)*(1 - 1 + s)*(1 + 1 - 1).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 - 7*z - 18. Let n be p(-3). Calculate the highest common factor of 636 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(288)*-1 + sqrt(6)\/((sqrt(24) + sqrt(384))\/sqrt(8)) + -4)*3)**2.\nAnswer: 1062*sqrt(2) + 68283\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 97*q + 0*q**2 - 106*q + 3*q**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54, 36, 6, -42, -114?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 15724100 rounded to the nearest 100000?\nAnswer: 15700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5263 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*n**4 - 1862335*n**3 - 10*n**2 + 102716*n?\nAnswer: 48*n - 11174010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 11173.023 to the nearest 10.\nAnswer: 11170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -23*x**2 - 28*x**2 + 4*x**2 + (-4*x + 5*x + 0*x)*(-3*x + 0*x + x) - 36*x**2 - 50*x**2 + 2*x**2.\nAnswer: -133*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 - 2*n + 1. Let p(r) = 3*r**2 - 5*r + 3. Suppose 54*l - 432 = -54*l. Let z = -1 + 2. Let o be (-135)\/12 + z\/4. Give l*p(u) + o*i(u).\nAnswer: u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 12824672587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-19*d + 3 + 15*d + 9*d)*(-2 + 4 - 3) in the form t + z*d and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxcrcxxxxx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6054046?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4780242 + 5?\nAnswer: 4780247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 84 + -26. Let k = t + 26. Let a = k + -59. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15*(-42)\/(-700))\/((-6)\/60).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.5, 3, -2, -18.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u. Suppose -4*r = 5*s - 0*s - 33, 5*s - 19 = 3*r. Suppose 28 = 2*w + s*b, 0*b + b - 20 = -4*w. Let k(t) = 2*t - w*t + t - 3*t. Give g(k(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 200 (base 5) to base 7\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1230052 (base 10) to base 13\nAnswer: 340b55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -97373*f**2*n*s**3 - 2*f**2*n - 667*f**2*s**3 - 2527*f**2*s - 3*n wrt n.\nAnswer: -97373*f**2*s**3 - 2*f**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from {h: 8, v: 2}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(130)*-3)\/(sqrt(250)*-2) + -1)**2.\nAnswer: -9*sqrt(13)\/5 + 1153\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of 0 - 33*w - 1\/30*w**4 + 12\/5*w**2 + 4\/15*w**3. Factor o(c).\nAnswer: -2*(c - 6)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -81551035 + 81551058.0000047. Let q = 23 - s. Round q to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 + h**2 + 5*h - 4*h - 4 to the form r*h**2 + n + m*h and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 10:36 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12963 by -4321.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -3*g**2 + g + 2. Suppose -247*h + 15 = -250*h. Let f be (6 - 16)\/h - 0. What is m(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 6*c**3 - 5*c**2 - 6*c + 4. Let s be 13 + (-3)\/((55\/(-10))\/(-11)). Is 25 a factor of t(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -76*f - 5040. Give h(-66).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 60*a - 73 - 29*a - 555 - 28*a to the form c*a + m and give m.\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 500\/7 + -72. Which is the third smallest value?  (a) 5  (b) 2  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 2*d - 3*g = 56 - 30, -5*d + 18*g + 115 = 0 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s + 5*s + 2 = 0. Let x(z) = -z**3 - 5*z**2 - 6*z - 3. Let f be x(-4). Suppose -24*b + 88*b = -16*b + 80. Put s, -5, f, b in decreasing order.\nAnswer: f, s, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 81707*x**2 - 1 + 81685*x**2 - 1.\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6735054 divided by 6.\nAnswer: 1122509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 854600 = 145*i + 607046 - 1779981. What are the prime factors of i?\nAnswer: 3, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2339 = 3*i - 2315 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 2*v - 313, v = -2*l + 2*v + 208. Let z = 235 - l. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 443.4695 to 1 dp.\nAnswer: 443.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/41?  (a) 1  (b) 1383  (c) 22\/13  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 254932?\nAnswer: 2, 17, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-15)\/3 - (-9 + 4). Let l(c) be the first derivative of -1\/6*c**6 + 0*c**5 + 1 + 0*c + z*c**2 - c**3 + 0*c**4. Find the third derivative of l(t) wrt t.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -4*i + 10 - 4*i**2 + 8*i**2 + 100*i**3 - 8*i + 5*i**3. What are the prime factors of c(2)?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -3\/479 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.820018551 rounded to two decimal places?\nAnswer: 5.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -26.1 + 27. Let y = 0.183 - -0.317. What is the nearest to 0.3 in y, j, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 483 is divided by 33.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 260, -0.36, -1, -2756?\nAnswer: -2756","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 25\/14 - 34\/21. Let c(r) be the third derivative of 1\/24*r**4 + 2*r**2 + 0 + 0*r - k*r**3. What is the first derivative of c(z) wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23.8863122 rounded to two decimal places?\nAnswer: -23.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**3 + 2*l. Let k be ((-30)\/(-4))\/((-6)\/36). Let f = k + 43. What is m(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the second derivative of q**8\/28 + q**4\/4 - 10*q. What is the third derivative of z(a) wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7*i**2*s**3 - 2*i**2*s*v + i*s**3*v*w - 2*i*s**2*w**2 - i*w - 2*s**3*w**2 + 42*v*w**2 wrt v?\nAnswer: -2*i**2*s + i*s**3*w + 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -11*s**3 + 27*s**2 - 10*s - 12. Let c(f) = -27*f**3 + 58*f**2 - 18*f - 25. Let q(k) = -5*a(k) + 2*c(k). What is q(18)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1129 + -3b?\nAnswer: 10dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 2*h + 1 = 0, g - 4*g + 24 = 3*h. Suppose 15 = -0*l + g*l. Let y(c) = -4 - l*c**2 + 4 + 3*c**2. Let w(m) = m. Calculate w(y(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 + 4 = -2*h. Find the second derivative of -2*s - s + s - 7*s**h + s**5 wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - l + 2 = 5*r, -5*r - 497*l = -500*l + 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 109 = 34. Suppose 3*x - a = -2*x. Suppose x*n = 2*n + 2. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 766.00000509 + -766. Round k to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*r**3*w**3 + 3*r**3*w + 188*r**3 + 2*r**2*w**3 - 2*r**2 + w**3 - 108 wrt r.\nAnswer: 48*w**3 + 18*w + 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1*15)\/(-1 + 4 + -2). What is the units digit of 2*(-5)\/k + 1150\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -412, -830, -1198, -1510, -1760, -1942, -2050, -2078?\nAnswer: -2020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2552384?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 5*p. Let z(x) = -14*x - 1. Let j(s) = -8*i(s) - 3*z(s). Let h(r) = 4*r + 5. What is -3*h(k) + 5*j(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3*6\/(-9))\/(-2). Is (14*(-3)\/6)\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4078469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 372310 and 310.\nAnswer: 372310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of -t**6\/120 + 7*t**5\/60 + 7*t**3\/6 - 4*t**2. What is the units digit of u(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -887602 (base 9) in base 8?\nAnswer: -2014047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 4*w + 295 = 0, 2*s - 282 = 5*w - 97. Suppose x + s = 127. What is the greatest common factor of 165 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 131 - -22?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(1*(sqrt(136) - sqrt(136)*-3) + (1*sqrt(136) + sqrt(136))*2))\/((sqrt(392) - sqrt(392)*-4) + sqrt(392) - sqrt(392) - sqrt(64)\/(2*sqrt(8))).\nAnswer: -80*sqrt(17)\/69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10010100001010100111 (base 2) to base 9.\nAnswer: -1124438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 = 16*u - 17. Suppose r - u*h = -r + 520, -r + 256 = -4*h. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zv when two letters picked without replacement from srvzsiisisissiivsiir?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-164)\/36 + 5 - (-287)\/63.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 0 = -g + 4, 0 = u + 2*g + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 2 + 4 - 2 - 1 + (2 - 2 + 2)*(0 + 2 - 1) - 1 + 2 - 3 - 2 + 0 + 1 + 2 + 3 - 3 - 1 - 2 + 1)*(4*t**2 + t**2 - 2*t**2).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + a + 125 = 0. Let v = a - -36. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o - 12*o - 6*o)*(-3 - 3 + 3 + (4 - 5 + 0)*(-1 + 4 - 1) + 0 - 2 + 0).\nAnswer: 105*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of 2488921036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3 + 428*o**2 + 61056*o + 2903040.\nAnswer: (o + 140)*(o + 144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 6 = 2*s, 5*s - 1 = 3*n - 4. Let k be -1 - (-5 - s)\/6. Which is the closest to k?  (a) -5  (b) -1\/5  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*m + 3*m + 2*m + (1 + 3*m - 1)*(-17 + 7 - 21).\nAnswer: -92*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 55*r**2 - 2*r + 1. Let n be a(1). Suppose 5*c + 10 = -f + n, 5*c + 5*f = 60. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 78 and 221442.\nAnswer: 221442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46 + 52*h**2 + 36 + 6*h**2 - 94.\nAnswer: 58*h**2 - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of ((-7)\/35)\/((-4)\/30)*58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(12\/4) - 2\/(-6). Let y(z) be the second derivative of 1\/90*z**5 + 0*z**2 + 3*z + x + 1\/27*z**3 - 1\/27*z**4. Find w such that y(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 444500 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 AM and 6:32 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l**5\/7 + 11022*l**4\/7 - 15653104*l**3\/7 + 1276721016*l**2\/7 + 4128531840*l\/7 - 13238899200\/7 = 0. What is l?\nAnswer: -5, 2, 90, 2712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13023947 is divided by 121?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 193920721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8257 + 11113 = 68*a for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -7 + 15 + 7 + 9 + 30*g. Is 26 a factor of a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 1528*q - 96144. Give o(63).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -974*u**3 + 226469*u**2 - 699676246*u wrt u?\nAnswer: -5844*u + 452938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27888, 55842, 83798, 111756, 139716, 167678, 195642?\nAnswer: 223608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1187891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -66506, -66598, -66702, -66824, -66970, -67146, -67358, -67612?\n\"Answer: -s**3 - 85*s - 66420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -6*i**2 + i - 2. Let l(j) = -j**2 - 1. Let x = 1262 - 1261. Determine x*m(a) - 2*l(a).\nAnswer: -4*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2491246579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 216301?\nAnswer: 163, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/21)\/(24\/(-28)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + n + 15, 0 = -2*n - 16 + 6. Let b(j) be the second derivative of 0*j**3 + t*j - 1\/30*j**4 + 1\/5*j**2 + 0. Factor b(d).\nAnswer: -2*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.185678*-3.\nAnswer: 0.557034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4578122.98 rounded to the nearest ten thousand?\nAnswer: 4580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 49*g - 36. Let i(l) = 98*l - 84. Let a(h) = 3*i(h) - 7*w(h). Let u(z) = -6*z + 4*z + 1 - 1. Calculate a(u(q)).\nAnswer: 98*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 5:53 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -a*s**5 + 2*a*s**3 - 2*a*s**2 - 4*s**5 + s**2 - 43*s wrt s.\nAnswer: -60*a*s**2 + 12*a - 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7 - 29049616?\nAnswer: -2904960b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -143 + 146. What is the remainder when 56 is divided by 45 - (x + (-3)\/(-3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3994112 microseconds to milliseconds.\nAnswer: 0.0003994112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2c5 (base 16) to base 4.\nAnswer: -23011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1846.08 + 1906. Let n = 4.48 + u. Round n to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2302 + 2321. Solve j*m - 19 = 38 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/(s*s\/((s\/s**(-5))\/s)))**(-2\/13) assuming s is positive.\nAnswer: s**(-10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 15057, 30122, 45187, 60252, 75317, 90382?\n\"Answer: 15065*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 10031 and 3.\nAnswer: 10034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 110904003?\nAnswer: 3, 7, 251483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of -317*x**6\/30 + x**5\/10 - 7397*x**4\/12 - 2606*x. Find the third derivative of c(z) wrt z.\nAnswer: -7608*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ljl when three letters picked without replacement from {j: 9, l: 11}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 290651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -432*o**2 + 196*o**2 + 227*o**2. Let x(m) = -17*m**2. Determine q(x(f)).\nAnswer: -2601*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*r = -7*r + 114 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l - 1. Let h be (-3 - -3) + (-2)\/1. Let c(q) = q**2 - 4*q. Let u(t) = h*p(t) - c(t). Is 2 a factor of u(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 39*r**2\/2 + 148791*r + 297504 = 0. What is r?\nAnswer: -99168\/13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 22*x + 4 - 6 - 8 - 51*x. Let m(a) = 175*a + 60. Let w(v) = -4*m(v) - 25*s(v). Does 11 divide w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9234405 divided by 5\nAnswer: 1846881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 24303378 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 + (-18)\/(-8))\/((-16)\/64). Suppose -1153 = -2*l + 4*u + 479, -l - w*u = -831. List the prime factors of l.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 4*o - 2. Let f(q) = q**2 + 5*q + 10. Let j be (2 - 7) + 2 + -1. Let t be f(j). Suppose -3*m = -b + 5, -4*m + 8 = 3*b - t*m. Calculate a(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u = 5*u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r**3 - 29200*r**2 - 5814572*r - 5785368 = 0. Calculate r.\nAnswer: -193, -1, 7494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - i**4 + i**2 - 3*i - 1785*i**3 + 1785*i**3 - 49 in the form g*i**4 + j*i**2 + y + l*i + c*i**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pppppkpk.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 less than -0.05214?\nAnswer: -0.15214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*w**2 - 1032*w - w**3 + 1 + 1041*w - 1 - 4*w**2 to the form c + d*w**2 + n*w + x*w**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1755788 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 4*j - 2*a + 5 = -1, 5*a - 25 = 0. Let w be j\/(-5)*(-2 + 1). Is -0.1 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 851, 1261, 2415, 4697, 8491?\nAnswer: 14181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(-6)*(169\/520)\/13.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ed when two letters picked without replacement from ddeddddddddvddd?\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 463, 145, -725, -2423, -5225?\nAnswer: -9407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-10\/7)\/(b\/(b\/b**(-31\/4))))\/(b**16*b\/(b**(2\/33)\/b*b)) assuming b is positive.\nAnswer: b**(-9811\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1077 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**2. Suppose 14*a - 10*a - 12 = 0. Let j(q) be the first derivative of -8 + 19 - 5*q**a - 15. Determine n(j(u)).\nAnswer: 225*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - g - 3591*i + 23 = 2*g - 3588*i, 3*g - 9 = i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 32172, 257769, 870188, 2062839, 4029132?\nAnswer: 6962477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 2*x**3 - 8*x + 12. Let w(k) = k**3 - 3*k + 4. Give -3*j(b) + 8*w(b).\nAnswer: 2*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 19*v**3 - 176*v**2 + 502*v - 4099. What is d(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**3 - 6518*q**2 - 39162*q - 58770.\nAnswer: 2*(q - 3265)*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(-15) - 127088\/(-2820). Sort 14, c, 0, -5 in increasing order.\nAnswer: -5, 0, 14, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*o + 3)*(3*o**4 - 3*o**4 - o**4) + (3*o**3 - o**3 - o**3)*(o + o**2 - o).\nAnswer: -o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 1, -0.1, 3, 90.7 in ascending order.\nAnswer: -0.1, 0.3, 1, 3, 90.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75*s + 5*m + 76 = -73*s, -5*s = 4*m - 124. Solve 4*i + 2*d = 6*d - s, -5*i + d = 19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 5*t**2 - 2*t + 1. Let k be g(1). Suppose 11 = k*c - 25. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 114 - 148. Let y = -32 - v. Solve -w + y = -0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-135)\/(-33))\/5 + 2\/11. Is 34 a factor of ((-10)\/10)\/(c\/(-135))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 7584, 13746, 19908, 26070, 32232, 38394?\n\"Answer: 6162*m + 1422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(2) + 2 + -3.\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the first derivative of -7*y**2\/2 - 3*y - 1. Let v(x) = 2*x**2 + 44*x + 40. Let w be v(-21). What is b(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1663.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5, v: 2}. Give prob of picking 2 a and 2 v.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 194, 188, 182, 176, 170, 164?\n\"Answer: -6*r + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 - -28. Calculate the remainder when h is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 83 + -68. Suppose -t*q + 666 = -6*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000622854766 to seven decimal places.\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 148466\/29887 - (1 + 4) and -17\/858?\nAnswer: 9438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/3*(-57)\/38?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1, 648, -20.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m and 1 g when four letters picked without replacement from mmmmmmgm?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.01, -0.5, 7\/5, -1, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5451 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/10 - (-3)\/5. Suppose b = -0*l - l + 4. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in seventy-nine halves of a kilometer?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 3*y**2 - 7*y + 3. Let i(a) = a**2 - 1. Let p(t) = i(t) + m(t). Let q be p(6). Suppose q = b + 3*x, 2*b = -0*x - x + 183. Round b to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-8))\/(120\/64).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 11, 2\/107, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -293*d - 215*d + 256*d to the form i + p*d and give p.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -398*w + 396*w - 5*v = 16, -2*w - 30 = 12*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or 700\/577?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2*t - 7. Let o be r(-6). Find the second derivative of -2*p**5 + p + 0*p**5 - 3*p**5 + 3*p**o wrt p.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-16)\/(-6)*(-36)\/(-16). Let g be ((-4)\/6)\/(4\/b). Is 1\/g*(-23 - 3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -i - 0*i - 4342, 4*i = -4*r + 3464. What is the greatest common factor of r and 372?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-90)\/243)\/(-10))\/(18\/(-108)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 2*b - 60. Suppose 0 = -3*x + 6*x - b. Which is greater: x or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 65 + -14. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 11 - 7 = 0. Let j(d) be the third derivative of d**4\/12 + d**3\/6 + d**2. Let c(m) = -3*m + 0 + 5*m - 3 + 4. Determine o*j(p) + 5*c(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 645, 665, 697, 741, 797?\n\"Answer: 6*a**2 + 2*a + 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 7*b**2. Let t(z) = 58*z. Determine c(t(x)).\nAnswer: 23548*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 139 = 4*o - 227, 0 = -o - 4. Let z be (-1)\/2*(s + -1). Suppose 4*n = n + z. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23.9401 - 0.1099. Round i to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.97523 to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87 = 5*r - 18. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 e, 1 t, and 1 z when four letters picked without replacement from ztetbktptppbzzzeptt?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 449067 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000004963 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n\/n**(1\/7)))\/(n\/n**2)*(n\/(n\/n**(-3)))\/(n\/n**(-2\/5)) assuming n is positive.\nAnswer: n**(-79\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of -q**2\/2 + 14*q + 11. Determine c(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 136 = j - v, j + 3*v + 48 = 180. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10283795.\nAnswer: 5, 2056759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 262\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the second derivative of -a**5\/100 + a**4\/60 + a**3\/15 - 4*a. Factor f(n).\nAnswer: -n*(n - 2)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22 + -17 + -26 + 77?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, 14, 285, 11, 4 in increasing order.\nAnswer: -5, -4, 4, 11, 14, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 49326, 49314, 49326, 49374, 49470, 49626, 49854?\n\"Answer: 2*w**3 - 26*w + 49350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 99 + 600. List the prime factors of u.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrryii. What is prob of picking 1 r, 1 i, and 1 y?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 25979333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 62369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111 (base 4) to base 8.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/12 and 5\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(95)\/sqrt(5) + 0)**2 + (sqrt(133)*1)\/sqrt(7).\nAnswer: sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3  (b) -1\/4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3054712793.\nAnswer: 11, 3407, 81509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3076549*j**3*v**2 + 5*j**3*v - 303827*v wrt v?\nAnswer: 6153098*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 10. Suppose 0 = 4*h - 0*z - 4*z - 88, 2*z = 3*h - 64. What is the greatest common factor of h and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2029.0000003 + -2029. Round u to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22732180 divided by -5?\nAnswer: -4546436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 219509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.7 * -0.01406.\nAnswer: 0.009842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78553287?\nAnswer: 3, 31, 93851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 4, -105, -7.011?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 341 divide 319176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/(-18) - 3937\/1143. Let k = -671\/8 + 84. Which is the nearest to m?  (a) -0.1  (b) -3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 8 = -6*v. Suppose 8*q + 2 = v. Let l(c) = -c - 1. What is l(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.01 + -0.91. Suppose 48 = 5*d - 2*h, 3*h - 3 = -2*d + 1. Is r <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -18581, -77229, -174971, -311807, -487737, -702761, -956879?\n\"Answer: -19547*h**2 - 7*h + 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**2 - 2. Let y be m(-2). Is 116 - y*2\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(-22)*(-14)\/49.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 42 - 18. Solve -6*l = -l - 20, 2*u = 5*l - o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**3 - 196875*y**2 - 196866*y + 393744.\nAnswer: -3*(y - 1)*(y + 2)*(y + 65624)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cscs when four letters picked without replacement from {s: 11, t: 4, c: 2, n: 2}.\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 72 and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 82, 0, 4, -3 in increasing order.\nAnswer: -3, 0, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2578485 and 3315?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37 divided by 497.\nAnswer: -37\/497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -140 > -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-6)\/27)*((-1885)\/261 - -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 + -1. Let z = -0.6 - j. Let u = 0.6 - 0.5. Which is the nearest to z?  (a) -3  (b) -1  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88 = -6*v + 10*v. Suppose y - 3*y - 4 = -5*x, 5*y - x = 36. Calculate the smallest common multiple of v and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6 - 0) + (44 - (-132 - -170))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000060999 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 353 = -189*m + 4511 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4495496 divided by 1123874?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7252 + -7247. Solve -2*h + t = -12 + 11, 5 = -n*h + 4*t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + ((-346490)\/14 - 4\/(-14)). Let l = -14551 - q. What is the common denominator of (-3615)\/l - 2\/(-10) and 20\/11?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*(d\/((d*d\/(d*d\/d**(-26))*d)\/d))\/d)\/d**(-1\/4) assuming d is positive.\nAnswer: d**(109\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13737916*h**3 - 2098536.\nAnswer: 41213748*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one eighths of a litre in millilitres?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -401 + 79?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-328)\/(-902)*(3\/2 - 1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 49113 = -5*w - 49058, -w - 5*s = -w - 10 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.99000137 + 1.99. What is a rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 74  (b) 3  (c) 0  (d) -1\/3  (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 4*v**5 - 60680*v**4\/7 + 190444*v**3\/7 - 25856*v**2\/7 - 242384*v\/7 + 34624\/7 = 0?\nAnswer: -1, 1\/7, 2, 2164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 161 - 106. Find the second derivative of z*k + 48*k + 13*k - 4*k**3 + 6*k**5 - 35*k wrt k.\nAnswer: 120*k**3 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 7468, 18456, 32966, 50998, 72552?\n\"Answer: 1761*k**2 + 5705*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 24275 + (-5 - -1 - -10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 194647895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1226845, 4907373, 11041585, 19629481, 30671061, 44166325, 60115273?\nAnswer: 78517905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -49332 from 72.8.\nAnswer: 49404.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 39.6 - -4.9. Round h to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) 1\/7  (b) -4  (c) -102  (d) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 35870\/99 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8.1 - 9.1. What is the third biggest value in t, 10, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-56)\/(-6) - (-1)\/6*-2. Is 22 a factor of -6*3\/b - -500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1136, 2273, 3408, 4541, 5672, 6801, 7928?\n\"Answer: -w**2 + 1140*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, 0.85, 5, 4, -4 in decreasing order.\nAnswer: 20, 5, 4, 0.85, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -24 - -37. Let b = 18 - p. Suppose 5*c = -5*h + 250, -5*c - b - 15 = 0. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 189394170?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11942?\nAnswer: 2, 7, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**7*u*u\/(u*u*(u*u*u**(-1\/5)*u)\/u)*((u*u**0)\/u)**(5\/2))**(-10\/7) assuming u is positive.\nAnswer: u**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-f**2 + 2*f**2 + 3*f**2)*(0 - 7 - 11 - 2) to z*f**2 + m + x*f and give z.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 153 + -123. Suppose -5*l + i = 5*z, -6*l + l + 12 = -z. Let g = -0.06 - -0.05. Put g, 4, l in descending order.\nAnswer: 4, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2\/19 + 926*m\/19 + 924\/19.\nAnswer: 2*(m + 1)*(m + 462)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -739\/3 - -1013\/4. Let p(j) = -j**2 + 5*j + 5. Let n be p(5). Calculate the common denominator of (n\/(-9))\/(4\/1) and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2976448273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of k**9\/3024 - k**6\/180 - k**3\/3 - 2. Let r(q) be the third derivative of x(q). What is the third derivative of r(f) wrt f?\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 889 divided by 3?\nAnswer: 889\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 8754096.6 nanoseconds in days?\nAnswer: 0.0000001013205625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (106\/265)\/(6\/20). Let r = -1 + 1. Factor 0*j + r + 2\/3*j**2 + 2\/3*j**4 + g*j**3.\nAnswer: 2*j**2*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 6*d + 32 = 4*d, -4*d = 5*k + 136. Let y be k\/40 + 13\/5. Suppose 2*s = -2*p + 2, 2*p = 2*s - 0 + 2. Solve 6*m - y*m = s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -10*m**2. Let o(g) be the third derivative of g**7\/2520 - g**5\/20 + g**2. Let d(h) be the third derivative of o(h). Determine d(c(t)).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -17*g + 366. What is q(0)?\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d + 4. Suppose 0*p - 2*p = -38. What is the least common multiple of (-1)\/3 - p\/(-3) and f(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cnnccn. Give prob of picking 2 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3)\/(-6))\/((-2)\/(-80)). Suppose 2*b = 3*j - 15, 4*b + 4*j + 0*j = -l. Let u(h) = 14 - 8 + 0*h + 2*h. Calculate u(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2 - 10*c + 45. Let q be x(-13). Let f(p) = 3*p + 3. Let m(k) = -4*k - 4. What is q*f(t) + 5*m(t)?\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4*v + 0*v - 15 = 0, 4*v + 16 = 0. Suppose l + 1 = -m, 2*m = -5*p + 6. What is the lowest common multiple of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -742554558, -742554557, -742554556, -742554555, -742554554?\n\"Answer: z - 742554559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 57.55496 kilometers?\nAnswer: 5755496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 2*i - 26. Let r be y(-8). Let u be 12\/r - 16\/(-7). Solve u*q = 2*l + 10, 2*l - 3*q + 13 = 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 147\/(-30) + (-3)\/30. Let z = 198 - k. Is 29 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 AM and 2:23 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/(-324)*(-288)\/(-64) - 202\/18?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 0*g = -5*g + 2, -5*w + 4*g + 11 = 0. Let v be 23 + 4 + w\/(-3). Suppose -v + 14 = -3*h. Solve h*d - 23 = -3*t, -2*t - 2*d = t - 19 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 795 - 6 - 6 - 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -499 + 523. Let h(v) = v**3 + 3*v**2 - 5*v - 1. Let j be h(-4). Suppose -63 = -a - j. Calculate the greatest common divisor of n and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(90\/108))\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 887.1322 decades?\nAnswer: 106455.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -81 + 96. Factor u*g**2 + 433*g**4 + 214*g**4 + 80*g**5 - 115*g**3 - 447*g**4.\nAnswer: 5*g**2*(g + 3)*(4*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**5 - 8*t**4 + 21*t**3 - 14*t**2 - 20*t + 24.\nAnswer: (t - 3)*(t - 2)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 175 divide 49595244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (1*(-1 + 1 + sqrt(153)) - 2*(sqrt(153) + sqrt(153) + 1 + (sqrt(153) + -1 - sqrt(153)) + sqrt(153))))**2.\nAnswer: -60*sqrt(17) + 3829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/182, -2\/3, -2.6, 3 in decreasing order.\nAnswer: 3, -1\/182, -2\/3, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 6150.5 from 0.01.\nAnswer: -6150.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 7*x + 85 = 0. Let h = x + 17. Suppose -4*n = -j + 2 - 24, h = 5*n - j - 27. Calculate the lowest common multiple of 2 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-24))\/((-3)\/12*-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 + 6*p**2 + 12*p - 8. Give w(8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 3 + -104 + (-43 - -48 - -11).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 5, 4, 1, 426, 17, -4 in increasing order.\nAnswer: -4, 1, 4, 5, 16, 17, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -18929*o - 795005. Calculate t(-42).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 55.7 + 12.3. Let l = f - 58.6. Round l to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6343367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 a when three letters picked without replacement from {z: 1, a: 11}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*f**2 + 3017*f**3 + 22*f**2 - 3018*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 34 = 10. Solve 11*f + 9 = z*f - 2*a, -14 = 4*f + 2*a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = -o + 17. Let v = -439 + 437. Which is the biggest value?  (a) o  (b) v  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5490686132 to the nearest integer?\nAnswer: 74099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-20)*(h*h*h\/h**(8\/5))\/h assuming h is positive.\nAnswer: h**(-98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2520 - 189 = -777*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -20221331 + 3?\nAnswer: -20221323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 2*c + 4*u, -7 = 21*c - 16*c + u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 27\/6*20\/6. Suppose g = 3*b - 3*v, -2*b + 5*v + 4 = -6. Suppose -n - 23 = -10*k + 8*k, 0 = -2*k - 3*n + 19. Solve -b*w - 9 - k = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 4 = p, -5*m = -4*p - 14. Let g(i) = -17*i + 293. Let d be g(17). Suppose 69 - d = -13*y. Which is the biggest value?  (a) y  (b) 0.2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*o - 20, 69*z - o - 85 = -366 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -31*v - 34*v + 89*v - 35*v + 279. Let a be t(25). Put -4, a, 35 in decreasing order.\nAnswer: 35, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 10*a - 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9658820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2052 - 449. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -342, 9, 4, 0.1, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1130593 (base 14) to base 4.\nAnswer: 133031332211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -v**2\/4 - 34464005*v\/4 - 8616001 = 0.\nAnswer: -34464004, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-35*x**4 + 35*x**4 - 15*x**5)*(-18 + 74 + 14 + (3 + 1 - 5)*(-1 + 1 + 2)).\nAnswer: -1020*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(50\/20)*3*(-5)\/8. What is the biggest value in -23\/17, -1\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 - 17. Let y be v(0). Let x = y - -41. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/((0 + 1)*-2). What is the tens digit of (-978)\/(-15) - g\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 61237, 96787, 132337, 167887, 203437?\nAnswer: 238987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 14*h + 56 = 19*h, -2*h = 0. Let m(c) = -4*c**2 - 7*c**2 + 11 - 3*c**2 + c**3 - 18*c + 2*c**2. List the prime factors of m(g).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/141 and 50\/27?\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/3*h**2 + 0*h + 0 + 1\/6*h**5 - 1\/3*h**4 - 1\/6*h**3.\nAnswer: h**2*(h - 2)*(h - 1)*(h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 288685465?\nAnswer: 5, 107, 241, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i**4 + 5*i**4 - i**4)*((6 - 4 - 1)*(3 + 2 - 4) + 8 + 2 - 1).\nAnswer: 50*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 + 1)*(10*f**3 + f**3 - 4*f**3).\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**3 - 1209*i**2 - 2409*i - 1203.\nAnswer: -3*(i + 1)**2*(i + 401)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -30370*m. Let r(z) = -10*z**2. What is p(r(x))?\nAnswer: 303700*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -13*f + 29. Solve f*r = -4*r - 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1b + 5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -609.0418 to zero decimal places.\nAnswer: -609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 2*v = -5*v + 31, 3*h = 2*v + 2. What is the second derivative of -1 - 2*u**2 - u + 0 + 14 + 2 - 108*u**h wrt u?\nAnswer: -1296*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 4*b**3 - 2*b**2 + 5*b - 4. Let k be s(1). Find the second derivative of c + 94 - 315 + 116*c**k + 56 + 62 wrt c.\nAnswer: 696*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 13 + 0 + x.\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-3)*2*4\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of -72*z**5\/5 + 5*z**4 + 44*z**3\/3 + 4*z**2 - 109. Let d(s) = 0. Calculate s.\nAnswer: -1\/2, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.4 + -3.6. Let b = -4.771 + -0.229. Let v = b - t. Are -0.2 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 116 - 115.99788. What is p rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -1734 + 1458. Solve 107 = -5*z + u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-71)\/(-1) + 4\/(-4). Let g = -68 + b. Find the second derivative of -108 - 25*l**g + 15*l + 53 + 55 wrt l.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -26.13 and -0.9.\nAnswer: 23.517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -961, -950, -925, -880, -809?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeeeneeneeee. What is prob of picking 4 e?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c + 21 - 0. Let r(o) = -o**3 + 5*o - 2. Let x be r(-5). Let m = x - 79. Calculate the remainder when m is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -24081 + 24080.9. Let k = -0.41 - -0.24. Let u = k + 0.26. Sort u, p, 1 in ascending order.\nAnswer: p, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18395 - -25987. List the prime factors of b.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2*t**3 + 5*t**2 + 10*t - 1. Calculate v(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5167.20724 rounded to the nearest ten?\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 35 = 19*w + 15, -322*r - 20 = 4*w - 324*r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 795*v = -12505 + 2965 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/7)\/(-5 + 4).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-4))\/((-2032)\/(-2540)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y + 0*y + 7*y)*(-y + 0*y - 2*y)*(2 + 6 - 3)*((0*y + 5*y - 2*y)*(-2 + 2 - 2) + 3 + 4 - 4 - 2*y).\nAnswer: 480*y**3 - 180*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3552 is divided by (-8)\/(-14) - ((-544)\/28 - -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -2*n**2. Let t(k) = 927*k**2. Give m(t(s)).\nAnswer: -1718658*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 8*q + 1. Determine a(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 738*c**3 - 806*c**3 + 1024*c**2 + 1841*c**3 wrt c?\nAnswer: 10638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.5664 * -0.348.\nAnswer: -0.8931072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -164.08 - -164. Let z = -8.07 + 7.67. Which is the nearest to 1?  (a) z  (b) t  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 96\/20 + (4 + -8 - (-9 + 10)). What is the fourth biggest value in 0.45, -0.1, 0, f, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - 12. Suppose -3*p = n - 86, -p + 5*p = -4*n + 112. Let l = p + y. What is the highest common factor of l and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (12 - 15)*2\/34. Is -1 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3, 10, 17, 24, 31?\n\"Answer: 7*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 961*l**4\/5 + 3658*l**3\/5 + 3109*l**2\/5 - 708*l\/5 + 36\/5.\nAnswer: (l + 2)**2*(31*l - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/(k\/k**(-20)))*k)\/(k*k**14) assuming k is positive.\nAnswer: k**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -73, -385, -931, -1711, -2725, -3973, -5455?\n\"Answer: -117*u**2 + 39*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10571*h - 5958*h + 237*h.\nAnswer: -16292*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (-122)\/549 - 221440\/(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 2*s**2 + 3*s - 2. Suppose -3*u + d + d = 0, -3*u - d + 9 = 0. Let x be w(u). Solve 5*q - 2 + x = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 53\/598 or 616?\nAnswer: 616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2173 (base 10) to base 8\nAnswer: 4175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - h + 34 = 0. Suppose -23 + 164 = -3*y + 4*p, -11*p = -9*p - 18. Which is bigger: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 107\/61 - 6407\/488. Let h = 1922739455 + -26956807180911\/14020. Let l = 4\/701 + h. Find the common denominator of u and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -5 - 60*j + 1 + 58*j. Let u(f) be the first derivative of -f**2 - 3*f - 118. Let g = 9 + -14. Calculate g*p(v) + 6*u(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.3338 + 0.8338. Which is the second smallest value?  (a) 0.1  (b) g  (c) 26  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 3*a - 16, -3*a = -3*j + 4 + 38. Solve j*n = 15*n - 5*i - 41, 5*n - 20 = -4*i for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 - -111. What is the remainder when 107 is divided by ((66\/(-4))\/3)\/((-51)\/h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -77, -159, -311, -545, -873, -1307, -1859?\n\"Answer: -2*t**3 - 23*t**2 + t - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(10\/3)*d**25 assuming d is positive.\nAnswer: d**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 4, u: 1, c: 9, r: 2, l: 3}. What is prob of picking 2 r and 1 u?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -137, -547, -1095, -1673, -2173?\nAnswer: -2487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let w = -8.34 + 88.84. Let j = w + -80.7. What is the nearest to 2 in j, 2, 108?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + 11\/((-55)\/(-10)) - 474. Let w = h - -1212. What are the prime factors of w?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -159 + 214. Calculate the highest common divisor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 410 and 376963430.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 5, h: 1, a: 2, q: 2, g: 2, z: 2}. What is prob of picking 2 a and 1 z?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u**5 + 8 - 8 + u**4)*(10 - 5 - 4).\nAnswer: u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -192269\/5 - -38454. Let x = 3 + -5. What is the third smallest value in -0.3, x, i, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, -15, 158?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 less than -2.67?\nAnswer: 27.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -219, -797, -1737, -3039, -4703, -6729?\nAnswer: -9117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14 - 22210023?\nAnswer: -22210042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 + 6*h**2 - 2*h. Let u(t) = 2*t**3 - 13*t**2 + 4*t. Suppose 9*k = 19*k - 610. Let a = 55 - k. What is a*u(y) - 13*g(y)?\nAnswer: y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-12)\/66 - 57\/(-11). Let i(h) = h**2 - h - 1. Let y(p) = 783*p**2 - 5 - 387*p**2 - 10*p - 395*p**2 + p**3. Let j(s) = -5*i(s) + y(s). Determine j(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qyyyyyyybbytqybyybt. What is prob of sequence yqt?\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 - 9*j**2 - 31*j + 145. Give z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 79112415 to the power of 1\/3, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112123981?\nAnswer: 71, 419, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**2 + 4*s + 5. Calculate the least common multiple of 4 and g(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 - 4 - (-2 + 3 + -1). Suppose -2*l + 5*k = 2*l - 1092, o = -2*k. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.0256  (b) 13  (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*a**3*c*m - 410*a**3*c - 344*a**3*m + 2*a**3 + 73*a**2*c*m - 178422*a**2*m + 2*c wrt a?\nAnswer: -36*c*m - 2460*c - 2064*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22.36377 millilitres to litres.\nAnswer: 0.02236377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23 - 10. Suppose z*g + 20 = 14*g. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 4*k + 60 = 0. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 42129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -56 + (17 - (-4 - 9 - (-12 - 11))) - -2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 PM and 9:12 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 42\/1588945 and 31\/15253872.\nAnswer: 76269360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -863*h. Let i(u) = 2*u**2. What is b(i(r))?\nAnswer: -1726*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 951.2033 litres to millilitres.\nAnswer: 951203.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 13778  (b) -3  (c) 0.5  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/1*-1*76\/(-20216)*38?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**2*(a\/(a**(-1)*a))\/a)**(15\/2))**43)**(-10) assuming a is positive.\nAnswer: a**(-6450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes before 8:05 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 162407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((sqrt(468) - -4*sqrt(468) - sqrt(468)) + sqrt(468)) - sqrt(468))\/(sqrt(16)\/((-1*sqrt(40))\/sqrt(10))).\nAnswer: -57*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(9)*1)\/(2*(sqrt(12) - sqrt(3))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1117954, 2235908, 3353862?\nAnswer: 4471816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -10*o**3 - 12*o**2 + 28*o + 5. Let q(v) = -3*v**3 - 4*v**2 + 9*v + 2. Let l(w) = 2*j(w) - 7*q(w). Calculate l(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 731202246 divided by -6.\nAnswer: -121867041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -859*d + 74624 = -3191*d for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1335152 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of 69324 and -0.1.\nAnswer: 69323.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 5*w - 27 = 0, 0 = 161*g - 155*g - 4*w + 16. Let z = -33 + 61. Calculate the least common multiple of g and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -2*i**2. Let d(c) be the third derivative of c**2 + 0*c - 31\/8*c**4 + 51 + 0*c**3. Determine d(p(m)).\nAnswer: 186*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = r - 2*o, 2*o - 8 = 561*r - 562*r - 20 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -11*q**4 + 6*q**2 - 6. Let k(v) = 12*v**4 - 7*v**2 + 6. Let l(j) = 6*k(j) + 7*n(j). What is the derivative of l(b) wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g + 12. Calculate s(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = 3*k + 19 - 10, k + 5*d = -101 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -4033.96 - 29258120\nAnswer: -29262153.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -2*o + 105, -5*n + 107 = -2*o - 18. Suppose -19*q - 22744 = -n*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 175*t + 177*t = 1279, -4*i - t - 1731 = 0. Is -428 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -1. Let o(t) = 9 + t - 16 + 12 - 3*t. Let g = -23 + 24. Give g*o(u) + 6*f(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 PM and 12:28 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5508 and 6426?\nAnswer: 38556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 14, 64, 114, 164, 214, 264?\n\"Answer: 50*b - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3746 - 3783.62. Let j = 38 + y. Let v = j - -0.62. Sort v, -13, 2.\nAnswer: -13, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 0.16 bigger than -46085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 0*b - 5 = -2*b + 5, 4*b = 0. Let c(g) = -5*g - 38. Determine c(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4 - 11)*(2 - 2 - 2*d).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + s - 10 = 0, 8*w - 3*w + s - 50 = 0. Let h be 2166\/w - (-4)\/10. Calculate the remainder when h\/2 - (-3)\/6 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: 47 times -2.22\nAnswer: -104.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -208718*v**5 + 97*v**4 + 34643*v**2 + 3*v - 85 wrt v.\nAnswer: -12523080*v**2 + 2328*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 0)*(2 - 2 - 2)*(-253 + 501 - 11*m**3 - 251).\nAnswer: 22*m**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -28 - -58. Let g = q - 20. Calculate the smallest common multiple of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 9 = -19. Let q be 28\/(-2)*(x - (-16)\/(-7)). Suppose -4*r + 364 = -q*f, 3*f + f + 269 = 3*r. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 2*a - 2, 3*a + 24 = -a - 3*k. Let x be (60\/25)\/a*(-10)\/(-140). Is x <= -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 364 + -241. What is the remainder when u is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 2*k - 145 = -5*n, -2*n - 37 + 103 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.9319 - 0.4681. Which is the third smallest value?  (a) -3\/46  (b) -2\/5  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 + 7\/2)*16\/(-12). What is the nearest to -1 in s, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(121) + (sqrt(121) + sqrt(121)*-2 - sqrt(121))*3 + sqrt(121))\/sqrt(11) + (0 + sqrt(539) - sqrt(539))*-2 + 0 + sqrt(539) + 4)**2.\nAnswer: 88*sqrt(11) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -31\/11 - -115\/33. Let p(s) = 4*s + 1. Let w be p(1). Suppose 2*q - 4*c + 14 = 0, w*c - 21 + 1 = 5*q. Do q and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 17 = -2*b - 3*b, p - b - 5 = 0. What is the greatest common divisor of 63 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 256.83632 + 0.40668. Let m = z + -258. Round m to two dps.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.08 and -1.46?\nAnswer: 0.1168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(5) + -1 + 2 + -2 - (sqrt(360)*-1)\/sqrt(8).\nAnswer: -1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -752, -1323, -1878, -2411, -2916, -3387, -3818?\nAnswer: -4203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 + 4*q**2 - 3. Let f be (3\/2)\/((-21)\/(-56)). Suppose 0 = -3*l + 5*y + 10 - 1, 2*l + f*y - 6 = 0. Calculate x(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*b\/((b\/b**(-2))\/b))\/(b\/b**5))**(1\/29)*((b**(2\/7)*b)\/b**(-3))\/(b**(-2)\/b**(-4)) assuming b is positive.\nAnswer: b**(499\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 16160280 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-26)\/(-78))\/(1\/18*-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*n = 25*n - 52 - 498 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -5*a + 2*a + 9, -5*j + 21 = 4*a. Suppose -j = y - 0*y, v = 4*y + 6. Let h(l) = -2 - l**2 + v. Let g(k) = -k**2. What is g(h(q))?\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*s + 25*s = 4*j - 24, -16 = -4*s for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 146 - 138. Let t(o) = -3 - g*o - 13*o + 4 + 19*o. Suppose 6 = 2*f - 0*f. Calculate t(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 + -15. Solve -1 = w*l + 3*f, -4*l + 5*f = l - 35 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10346127 and 456?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 74180902 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18789455 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000021124046 rounded to seven dps?\nAnswer: 0.0000211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 853.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*g - 2*b + 97 = 0, -2*g + 3*b + 2*b - 3486 = -3193 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2007 or 2006?\nAnswer: 2007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*r - 127 = -17*r + 4*f, 5*r = 5*f + 530. Solve -4*y - 2*w = -18, -y + 102*w = r*w + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 36 + -30. Let m(v) = 5319445*v**2 - 4*v + 4. Let f be m(n). Suppose 4*b = 9*b - f. Round b to the nearest one million.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*r + 62*r - 124*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1974476ms in minutes?\nAnswer: 0.00001995746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/k**(-1))\/k)\/(k\/(k\/(k*k**(-13))*k)*k))\/((k\/k**7)\/k*k**5*k) assuming k is positive.\nAnswer: k**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 11*w. Let x be z(5). Let v(d) = 7*d**3 + d - 1. Let b be v(1). Suppose -b*s + 2*s = -x. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*s = 5*o + 24*s - 460, -2*s + 460 = 5*o. Solve -99*u = -o*u - 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/(180\/(-81)) + 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-47)\/(-282)*(-40770)\/151?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wikkmmvksswwkkskkk. Give prob of picking 1 v, 1 w, and 1 s.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -75.52604 - -65.175189. Let v = d + 10.35. What is v rounded to 5 dps?\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 218 - 134 = 0. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*o**3 + o**3 + 72*o**4 - 126*o**4 - 1)*(-3*o + 2*o - o).\nAnswer: 108*o**5 - 12*o**4 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = -k - 5*q + 12, 1560 = 2*k + 3*q + 1532 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/1*3\/6. Let b = r + 4. Let q(m) = -7686*m - 69172. Let l be q(-9). Solve 3*o = -l*k - k, -b*o - 8 = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*a + 11 = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 8 - 5*z + 6*z)*((2 - 5 + 4)*(-3 + 5 - 4) + 2 - 1 + 0 - 2 - 2 + 2) to d*z + i and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 157694826 rounded to the nearest one million?\nAnswer: 158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1229.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -35 - -1004b?\nAnswer: 10016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 3  (c) -1567077  (d) -2\/3  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1584 divided by 51?\nAnswer: 528\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 65 + -64. Let c be (-4*(-3)\/(-30))\/(u\/2). Put c, 3\/2, -4 in descending order.\nAnswer: 3\/2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + -4. Suppose -k = -6*m + 3*m + 46, 3*k = 3*m - 48. What is the highest common divisor of m and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-165)\/90)\/11*810\/60\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1890110171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 14*l**5\/11 + 15410*l**4\/11 + 3378976*l**3\/11 - 492030680*l**2\/11 + 2509104000*l\/11 - 676800000\/11 = 0.\nAnswer: -600, 2\/7, 5, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/(q*q**(5\/13)*q))*q*q)\/q**(-1\/3) assuming q is positive.\nAnswer: q**(184\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*l + 559 = -85. Solve 0 = -b + 2*k + 3, 5*b - k = k + l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (26 - -38 - 157) + 60?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 33  (b) 94  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 147 a factor of 34264524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 44 = 229*z - 225*z, -5*z + 13 = -y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.03 + 138.97. Let c = a - 141.0468. Round c to 3 dps.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4611?\nAnswer: 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 5*j + j + 3 - 42*j**2 + 50*j**2 - j**3. List the prime factors of z(7).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 5*s = -2*v + 384, -4*s = v - 117. Suppose v = 4*b + 13. Is 11 a factor of b\/(1 - 0 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1015*j - 192*j + 23867 = 0 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -3*w. Let d = 8 - 7. Let g(x) = 0 - x**2 - 1 + d. Calculate g(z(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -4*o + 7. Let w(u) = -u**2 + 17*u - 28. Let a be w(15). Suppose 6 = 3*z - a*q - 4, 2*z + 2*q - 20 = 0. Calculate d(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -52751*l**3 + 154*l - 210.\nAnswer: -316506*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 989 + -147. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18246 is divided by 6068.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68356284.\nAnswer: 2, 3, 5696357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1029, 2124, 3249, 4416, 5637?\n\"Answer: 2*q**3 + 3*q**2 + 1072*q - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggggggggngggnng. What is prob of picking 1 n and 1 g?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -3*y**2 - 5*y - 5. What is k(-4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2048 by 5447.\nAnswer: 2048\/5447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 962.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 36*j**2 + 2 - 21*j**2 + 9*j**2 to the form t*j**2 + h + r*j and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -31376*d**3*p**2 - 58919*p**2 wrt d.\nAnswer: -94128*d**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/561 in -2\/9, -28\/3, 1\/2, -26?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 AM and 7:28 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 9) to base 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of 7*x**6\/120 - x**5\/12 + 25*x**4\/24 - x**2 + 19*x. Let p(g) = 3*g**3 - 2*g**2 + 12*g. Calculate -5*p(o) + 2*v(o).\nAnswer: -o**3 - 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 16453 rounded to the nearest one hundred?\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8216227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 623105 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*m - 2*m + 15*m - 52 + 11*m.\nAnswer: 26*m - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.591028 + 49.59064. Let p = -4 + 53. Let w = i - p. What is w rounded to five dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7225 - 5199. Is c <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12.8 + 188.8. Let q = l - 176. What is the smallest value in -9, 4, q, 0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/4*(80\/(-3))\/(-4). Let h(w) be the third derivative of -w**6\/120 + 3*w**5\/20 + 3*w**4\/8 + 2*w**3 - 9*w**2. Give h(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94603 is divided by 595.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 22 = -12. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 13*(2\/(-5))\/((-13)\/(-65)). Let t = l + 28. Solve -3*o - t*o = -4*u - 2, -5*u = -10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -15*o - 31. Let r be k(-3). Let d be 0 - 1 - 1*114\/(-2). What is the greatest common factor of r and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7150271.\nAnswer: 751, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -237730.95692 + 0.15.\nAnswer: -237730.80692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l**4 + 5*l**3 - 5*l**2 - 5*l + 6 = 0 for l.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 - 126*s + 343. Does 42 divide d(-106)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let w = 229\/90 + 23\/9. What is the common denominator of 9\/20*(-44)\/(-6) and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the third derivative of -p**9\/2520 - p**5\/60 + p**4\/4 - 4*p**2. Let g(m) be the second derivative of b(m). Differentiate g(f) with respect to f.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.9397361 years?\nAnswer: 0.0009397361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t = -2, -4*o - 2*t - 6 = -6*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in fourty-nine fifths of a kilometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 89241 is divided by 9550.\nAnswer: 3291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/3 and -83\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 55393 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fey when three letters picked without replacement from fmyrmcey?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 47074550.\nAnswer: -1\/23537275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**3 + 23*s**2 - 47*s + 109. Let q be j(21). Let o = 392 + -240. Suppose 2*t + q*f - 88 = -0*t, 4*t - 4*f - o = 0. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -591576*d**2 + 8792*d - 98\/3.\nAnswer: -2*(942*d - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 2*u = -7, 2*h + 3*h = -3*u + 18. What is the units digit of 20 - 0*1\/h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 328169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 PM and 3:40 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 124290 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**5 - 9*s + 4*s + 2*s)*(-1 + 2 + 0).\nAnswer: 2*s**5 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 82\/5 bigger than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -169, -292, -381, -436, -457, -444?\n\"Answer: 17*z**2 - 174*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71 = 25*f - 469 - 27. Solve 0 = -f*b + 7*b + 40 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -64 + 321. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 23 in ascending order.\nAnswer: -5, -1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 11:58 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27227 and 817?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 6 + 9 = -3*n, 3*b + 4*n = 30 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 775871, 775855, 775839, 775823?\nAnswer: 775807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -252 divided by 1.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t**4\/2 + 36*t**3 - 5901*t**2\/2 + 8577*t - 5664 = 0.\nAnswer: -59, 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, s: 1, q: 2, e: 1}. Give prob of picking 1 r and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 2 = -c - 3*g, -4*c = -g - 8. Let m be 5\/(-10)*(0 + -6). Suppose -13*o - 33 = -2*o. Sort 4, o, c, m in ascending order.\nAnswer: o, c, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -780.9 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes after 1:13 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 3*a**2 + 64*a + 53. Let f(v) = -2*v**2 - 43*v - 35. Let r(i) = 8*f(i) + 5*s(i). Let p be r(-16). Let g = p - 68. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.26 + 1.02. Let m = 0.07 + -0.01. Let f = m - r. Put -1, 1, f in increasing order.\nAnswer: -1, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5703 = -7*k + 25240. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -4578, -3954, -2914, -1458, 414?\n\"Answer: 208*x**2 - 4786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -607, -1262, -2087, -3082, -4247, -5582, -7087?\nAnswer: -8762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-66)\/4)\/3 + (-40)\/(-80)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*q**2 + 2*q - 2*q)*(3*q - 7*q - q).\nAnswer: 25*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10538 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g + 4*g + g)*(0 + 0 + g) - 9 + 9 - 3*g**2 - g**2 + 0*g**2 + 3*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tl when two letters picked without replacement from {x: 1, h: 5, c: 3, b: 1, l: 1, t: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.037 in 9, 2\/7, 4.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 2*t**3 + 19*t**2 - 1076*t - 9780. Determine g(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*q + 25 = -14*q. Let s be ((-68)\/(-8) - q\/2) + 6. Solve -10*x = -13*x - s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + y = 0. Suppose -2*f - f + 12 = y. Suppose -1 = r + f*s - 4, 0 = -2*r + 2*s + 6. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = 2*s - 7*s - 13, -3*j + 3*s + 9 = 0. Suppose 3*h - 37 = -5*c, 4*c - 28 = -j*h - 0*h. Solve -d = h*d - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - g + 2*g = 23, -2*c - 16 = -g. Suppose 24*a - 26*a - 4 = -4*f, 2*f - 2 = 5*a. Let b(p) = 47*p - 20*p - f - 28*p. Determine b(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -57, -203, -449, -795, -1241, -1787, -2433?\n\"Answer: -50*g**2 + 4*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 20896805 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 15*q + 15*q**2 - 1 + 2 + 16*q**2 - 18*q. Suppose 0 = d + d - 4. What is the units digit of z(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - 3a38c02?\nAnswer: -3a38bdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 4*h. Let c(f) = -1154070*f**2 - 1. What is c(o(z))?\nAnswer: -18465120*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/5  (b) 14  (c) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20843 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 PM and 12:06 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -42539.1 to the nearest 1000.\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 + -2. Let f(k) be the third derivative of 1\/6*k**3 + 0*k + 0 + 1\/3*k**4 + 4*k**2. Calculate f(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10434, -20936, -31438, -41940?\nAnswer: -52442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**3\/(u**(-6)*u))\/((u*u**0*u)\/u*u**5) assuming u is positive.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -17109 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2145014 - 0?\nAnswer: -2145014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 5*z**2. Let n(b) = -b**2 + 3. Let c be n(0). Suppose 3 + c = g. Let r(j) = -5*j**2 - g*j**2 + 8*j**2 + j**2. Calculate r(h(v)).\nAnswer: -50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -37526017\/12 + 3136767. Let y = h - 9589. Find the common denominator of (-4095)\/(-1296) - (-1)\/(-9)*2 and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1651524058?\nAnswer: 2, 17, 48574237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3739815679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3*10093270.8\nAnswer: 30279812.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of -41*y**8\/168 - 7*y**4\/24 - 2*y**3\/3 - 33*y**2 - 4. Find the second derivative of f(j) wrt j.\nAnswer: -1640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.058 - -5.358. Let n = -0.3 + d. Let u = 6780 - 6785. What is the nearest to 1 in n, u, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -2, 52, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (80\/(-680))\/((-1)\/17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.799959 + 4.8. What is i rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141*u + 143*u - 1346 = 0. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2992502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a**2 + 10*a - 7. Let l be h(-9). Suppose 74 = 5*s - 3*d + 9, 0 = 5*s + d - l. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 136649.\nAnswer: 136649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 172763 bigger than 171093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -313*l + 10667 - 10667 + (-3 + 0 + 4)*(3*l + l - 5*l).\nAnswer: -314*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmdmmmmmmmddmjmjmj.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 891*o**3 + 392*o**3 + 323*o**3 + 115*o**3 - 452*o**3.\nAnswer: 1269*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.5, 3\/5, -5, 2, 5, 2239?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 68\/726915 and -40\/7889.\nAnswer: 5088405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 23*t - 69*t + 14*t + 20*t + 20*t. Let b(z) = 4*z**2. Give s(b(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 4 = 2*c. Calculate the least common multiple of c and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 100*j + 55. Let b(z) = -51*z - 18. Determine 2*a(v) + 5*b(v).\nAnswer: -55*v + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 28691.6109 * 0.2\nAnswer: 5738.32218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 p, 1 x, and 1 c when four letters picked without replacement from qyvxxcp.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-1827)\/2842*22\/4 and 34\/45?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4*z - 220 = 0. Suppose 712*b - 1560*b = -795*b + 2226. Is b greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -52*s**3 - 3 + 6 + 2*s + 20*s**2 - 15*s**2 + 46*s**3 to u*s**2 + k + v*s + n*s**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (3 + 0 + -1 - -1) + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 484 and 9?\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -4\/3*t**3 + 28\/3*t - 20 + 7*t**2 = 0.\nAnswer: -2, 5\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2211211 (base 4) to base 11\nAnswer: 7a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + 6 + -10 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3960, 7902, 11816, 15690, 19512, 23270?\n\"Answer: -2*x**3 - 2*x**2 + 3962*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27075 - (2 - (9 - 8))?\nAnswer: 2, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92294.8um in centimeters?\nAnswer: 9.22948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 7*h + 0*h + 0*h + 2*h to the form t + n*h and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.403498 rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fpffpppupufuffp. Give prob of sequence ffp.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 - (32 - 76) - (3 + (-12 - -2))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -23537, -3, -2\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**3 + 6*n**2 - n - 5. Let g = 10 - 5. Let x be u(g). Suppose 10*r + 65 = x*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*l - 14*l - 4*l + 79 - 2*l - l - 78 + (-3 + 1 + 0)*(4*l + l - 4*l) as i + h*l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4481130?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2687363222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3720.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2872146779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 3*f + 158. Let n = 387\/5 + f. Let z = 4626\/5 - 930. Calculate the common denominator of n and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - q - 13 = 0, 5*k + 0*q = -3*q + 12. Suppose -12 = k*m + m. Let c(v) = v**3 + 4*v**2 + 3*v + 4. Give c(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 + 3 + -3 + (-4 - (7 + -5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 228222 and 29554749?\nAnswer: 59109498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 + 4. Let n = f - 14. Suppose n - 29 = -3*v. What is the remainder when 19 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -13, 1 in decreasing order.\nAnswer: 1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2034 + 5275 - 3241 - 327*l.\nAnswer: -327*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2a7a738 + -5?\nAnswer: 2a7a733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 201 - 58. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (3 + 87\/(-18))*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -54 divided by 3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6261 + -2022. What is the derivative of 4239*f - 71 - 68*f**2 - a*f wrt f?\nAnswer: -136*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1731.5 - 1731.499953195. What is j rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 909 - 909.05. Let x = -0.58 - -0.4. Let l = x - r. What is the nearest to 0 in -3, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 3*i = 9, c + i + 14 = 17. Solve 27 = -3*k - 4*f, -5*k + c*f = -4*f + 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-1128.\nAnswer: 3384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 3. Let q = n - -1. Suppose h + q*h - 6 = 0. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 34808092, 34808097, 34808104, 34808113, 34808124, 34808137, 34808152?\n\"Answer: r**2 + 2*r + 34808089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes after 2:56 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t**2 - 2647266246*t + 584001548100911043 = 0. What is t?\nAnswer: 441211041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0  (b) -0.4  (c) -5  (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 574.5724 weeks to seconds.\nAnswer: 347501387.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 7*q = 4*u - 167, 0 = -u - 3*q + 63. Let h = u - 28. What is the smallest common multiple of h and 3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8644191?\nAnswer: 3, 2881397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -917000 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2902.32 times 259?\nAnswer: 751700.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 156934 is divided by 575.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3485 - -6903\/2. What is the common denominator of -87\/1354 and a?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*h + 23 - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*k*s*w**3 - k*s*w**2 - 3*k*s*w - 6*k*s - 2*s*w**3 + 3*w**3 wrt w?\nAnswer: 42*k*s - 12*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 5*c. Let d(y) = -9*y. Let k(j) = 4*d(j) + 7*o(j). Let p(v) = v**2 + 5*v - 5. Let n(a) = 2*a - 2. Let x(g) = -5*n(g) + 2*p(g). Give x(k(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 464236*c = 464243*c - 2*p - 130, -5*c = -4*p - 80 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 PM and 7:47 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -278 = 49*i + 653 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cdidiiiichziicddi. What is prob of sequence chc?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/64 and -113\/4956?\nAnswer: 79296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from bgg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.6 + 1.6. Put 0, v, 2 in decreasing order.\nAnswer: 2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 10 = 16. Solve 0 = -3*k + 2*p - 4*p + 3, -4*p - 18 = -z*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2772 and 63?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 14812542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 0*h - 6 = b, 2*h + 14 = -4*b. Let p be h\/(295\/75 - 4). Let y(u) = u + 49. List the prime factors of y(p).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from esvspsnnseep. What is prob of sequence snne?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 - -4. Let q be (-1 - g) + 10\/8. Let v be 1*2\/2*3. What is the nearest to -1\/4 in -2\/3, q, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 251370496.\nAnswer: 2, 13, 23, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -128*p**3\/15 + 168*p**2 + 276488*p\/5 - 31988506\/15 = 0. Calculate p.\nAnswer: -1397\/16, 107\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -144414 (base 5) to base 3.\nAnswer: -22112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = c - q, 5 - 16 = 312*c - 316*c - 5*q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4*(0 + -1)*1. Suppose 9*t - 7*t - x = 0. Suppose 0 = 3*r + 3*d - 27, -d + 2 = -t*r + d. Calculate the smallest common multiple of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 + 6*n**2 - 6*n + 9. Let v be w(-7). Let i be 15\/2*(3 - 1). Let j = -8 + 11. Solve j*f - i = -v*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -85, -10\/3, 3.1, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of -d**5\/60 + 11*d**3 + 6*d**2. Let x be b(0). Calculate the common denominator of 129\/x + (-10)\/5 and 59\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 45?  (a) 5\/3  (b) 0.61234  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 14175, 14176, 14175, 14172, 14167, 14160?\n\"Answer: -j**2 + 4*j + 14172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -43 + 516. Let z = y + -473.00000453. Round z to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -10, -0.2, -0.5, -4.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1 plus -17915750.9093?\nAnswer: -17915749.8093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 76 + -47. What is the highest common divisor of n and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 4*y = 18, 92*u = 100*u - 3*y - 53. Solve -u*o = -24*o - 68 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**6*h\/(h\/(h\/h**(-1)))*h*h*h**4*h*h**(-2)\/h)**(-50) assuming h is positive.\nAnswer: h**(-600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5 + 7*t**3 - 20*t**3 - 11 wrt t.\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 198*d**3 - 38*d**3 - 64*d**3 - 69*d**3 - 61*d**3.\nAnswer: -34*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 18*z + 82 + 260 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.9 + 0.1. Suppose w + 14 = 42. Let i be -5 - (396\/w)\/(-3). Which is the closest to 3\/7?  (a) q  (b) 4  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 4*l**4 + 28*l**3 + 44*l**2 - 28*l - 48 = 0.\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10 + 3 - m**3 - 6*m + 111*m**2 + 3*m - 104*m**2 + 3 to the form r*m + q*m**3 + d + c*m**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 13*n - 19 = 0, -12*i + 13*i - 7 = 2*n + 3*n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 96361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the third derivative of -5*n**8\/336 + 215*n**7\/42 - 211*n**6\/24 - 643*n**5\/12 + 265*n**4\/6 + 1070*n**3\/3 - 4083*n**2. Solve i(b) = 0.\nAnswer: -1, 1, 2, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 0, 78821 in decreasing order.\nAnswer: 78821, 9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 8*k + 103. Let o be t(-13). Which is the closest to 0.1?  (a) o  (b) -1\/5  (c) -1\/8  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/(45 + -780) + (-21)\/(-70)*-42?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-3))**(-3\/4))**(-29\/5) assuming q is positive.\nAnswer: q**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -3*h + 230, 0 = 18*h - 22*h - 5*l + 295. Suppose d - 2279 = -2*b, -h*d = -77*d + 2. What are the prime factors of b?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 90*c - 21. Let b(n) = -203*n + 42. Calculate -4*b(o) - 9*p(o).\nAnswer: 2*o + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 9*w - 10 + 509*w**2 - 939*w**2 + 429*w**2. Let d(s) = 2*s - 5. Let c be d(6). Let x be a(c). Solve 20 = 5*m, -2*g - 26 - x = -5*m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18.0002 + -0.0802. Let z = l - 18. Let o = z + -0.02. What is the second biggest value in 1, 2, -0.2, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15\/(-357) + 392\/(-13328)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -724549, -724534, -724517, -724498, -724477, -724454, -724429?\nAnswer: -724402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.1 + -0.4. Let c = f - -0.3. What is the nearest to c in -5\/3, -1\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*a**3 + 12*a**5 + 8*a**5 - 32*a - 44*a - 21*a**5 wrt a?\nAnswer: -20*a**3 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*k - k**2 + 42*k - 28*k + 0*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-2))\/((54\/(-9))\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37, -72, -165, -346, -645, -1092?\nAnswer: -1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*g + 8*i - 11*i, -i + 2*i = -2*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -3*q + 12. Suppose 5*f + 3*n - 267 = n, 0 = -5*f + 2*n + 263. Calculate the remainder when f is divided by (-308)\/(-21) - 4\/q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2888354 divided by 206311?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((22 + -7 - 6)*(-2)\/(-2))\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 108671\/16 - 6788. What is the common denominator of b and ((-12)\/16)\/(135\/(-1270))?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 213 and 6626430?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 27b89b58 - b?\nAnswer: 27b89b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 31*z**2 - 2*z - 43. Let g(j) = -10*j. What is y(g(a))?\nAnswer: 3100*a**2 + 20*a - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 328077 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: Sort -25\/127, -2\/13, 0.2.\nAnswer: -25\/127, -2\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is 25534 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3226.\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 327 + 25e77?\nAnswer: 2629e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (159264\/(-448)*(-3)\/((-135)\/10))\/1?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -21, 0.3, 4\/7, 3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 + 16*w**2 + 26*w - 51. Calculate t(-14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 223*v + 2808 = -462 + 817 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, v: 3, l: 12}. What is prob of sequence ll?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1684039 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 16427929 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 16573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 5*l**2 - 1 + 4*l**2)*(-6 - 5 + 33).\nAnswer: -22*l**2 + 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -b - 46 - 492, 0 = 5*w + 2*b - 679. Let u = -133 + w. Let g(o) = -o**3 - 5*o**2 + 7*o + 8. What is the lowest common multiple of g(-6) and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.74 - -0.26. What is the second biggest value in -0.4, a, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17811703291 + 0.2.\nAnswer: -17811703290.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 + (1 + -2)*1. Suppose 4*x - 5*x - 2*c = -18, 4*c - 44 = -o*x. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15195 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1283, -1280, -1277, -1274, -1271?\nAnswer: -1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 633 - 640 + 3*x**2 + 0*x**2.\nAnswer: 3*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 3*n - 18 = 0, -3*z = -4923*n + 4924*n - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -4*h - 7. Let z be r(-5). What is the lowest common multiple of 22 and -1 + (-3)\/(-3)*z?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 541661 is divided by 1142.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0*(-2 - 15\/(-6)). Suppose z*i - 4*i + 120 = 0. Is (-2 - -1)\/((-2)\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 738 - 526. Let c = 386 - z. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/10 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 71 - 67. Which is the closest to -1?  (a) -2\/3  (b) 0.5  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 968 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 22 - (30 + -17 + 27)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 74559271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.27252 + 0.02748. Which is the third smallest value?  (a) -1.3  (b) -9\/4  (c) 0  (d) -2\/3  (e) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 213*s**2 - 1123*s - 55. Determine u(6).\nAnswer: 875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 - -24. Calculate the remainder when m is divided by (2 - -1)*(-385)\/(-105).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 2*j = 302, x = -2*x + 2*j + 223. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 + 10*m + 39. Let p = 242 - 245. Let j be w(p). Put 2, -8, 1, j in ascending order.\nAnswer: -8, j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a meter in millimeters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1))**37*c\/(c\/c**(-11))*c*c*c\/((c\/(c**(1\/7)\/c))\/c)*c*c assuming c is positive.\nAnswer: c**(-307\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 206122*d**2*n + 5*d**2*v**2 + 252*n*v**2 - 2*n*v - 156*v**2 wrt v?\nAnswer: 10*d**2 + 504*n - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6533235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/190 + 9\/27*0. Let p = 1607\/380 + k. Let h = 22637\/854 - 3\/427. Find the common denominator of p and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 9, 0.5, 6\/11, -102, 1, 1\/80?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of -5*b**4\/4 + 55*b**3 + 175*b**2 - 804. Factor j(f).\nAnswer: -5*f*(f - 35)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*f - 15*f - 10*f**2 + (-6 - 9*f + 6)*(0*f - f - f) + f**2 + 3*f**2 - 2*f**2.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.4776 times 40.6\nAnswer: -19.39056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4546.3 rounded to the nearest 100?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/948 and 109\/96.\nAnswer: 7584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/3)\/((-50)\/1440*-8).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + a = 3*a + 44, 5*u + a = 41. Let k be (-8)\/(-6)*u\/(-6). Let n be (-11)\/k - 14\/(-28). Which is greater: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 6\/217, -13, 1\/6 in increasing order.\nAnswer: -13, -8, 6\/217, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 + 5*r**2 - r + 7. Let b be f(5). Let q = -2 + b. Let h(s) = -s**2 + 2. What is the remainder when 4 is divided by h(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47682?\nAnswer: 2, 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*t**2 + 0 + 0 + (-3*t + t + 4*t)*(-2*t + 0 + 0) + t**2 + 2*t**2 - 4*t**2)*(-17*t**2 + 6*t - 6*t)*(-6 + 10 - 7).\nAnswer: 204*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 6 - z + 2 + 2 - 2. Let g be x(-10). Solve 8*f = 4*f - 4, -4*i - 2*f - g = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 432.5023 millennia?\nAnswer: 4325.023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w + 49 - 194. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -2*h**3 - 7*h**2 - 2*h - 5. Let s(u) be the second derivative of u**5\/20 + u**4\/4 + u**3\/6 + u**2 - 951*u. Calculate -3*j(n) - 7*s(n).\nAnswer: -n**3 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {k: 1, n: 4, u: 5}.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = l, -4*i = -l - 4 + 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 3*x**3 + 857*x**2 + 159*x - 2. Let l(c) = 7*c**3 + 1704*c**2 + 318*c - 5. Let a(q) = -5*j(q) + 2*l(q). What is the second derivative of a(p) wrt p?\nAnswer: -6*p - 1754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1040 + 2009. List the prime factors of x.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (2 + -2 + 4) - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from {i: 1, o: 1, h: 1, t: 1, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 620775.8 meters in millimeters?\nAnswer: 620775800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000463562116 rounded to five decimal places?\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5243896*c**3 - 3207027*c**2?\nAnswer: 31463376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82 is divided by 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 58\/897 and 211\/726570.\nAnswer: 726570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - 0 - (35 + -35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 6*c**3 + 14*c**2 - 23. Let t(l) = -2*l**3 - 5*l**2 + 8. Let p(g) = -g**3 - 9*g**2 + 9*g - 4. Let a be p(-10). What is a*h(k) + 17*t(k)?\nAnswer: 2*k**3 - k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 329*s**2 - 499*s - 8. What is the ten thousands digit of t(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 2*f**3 + 21*f**2 + 25*f + 14. Give o(-10).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 136351517?\nAnswer: 73, 157, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.115 + -0.695. What is the second biggest value in -5, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3146832 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**2 + 0 + 0 - s**2 + 5*s**2 - 2*s**2 + (-1 + 1 - 5)*(s**2 + 2*s**2 - 5*s**2) - 4*s**2 + 2*s**2 + s**2 as a*s + v*s**2 + c and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2. Let h(q) = -5*q**2 - 3*q - 4. Let f(r) = 12*r**2 + 7*r + 9. Let z(g) = -3*f(g) - 7*h(g). Determine z(m(b)).\nAnswer: -b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -27, 8, -9, -1, -2 in ascending order.\nAnswer: -27, -9, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**3 + 5*y**2 - 8*y - 4. Suppose -3*x = 4*a - 4*x, 0 = -3*a + 3*x. Suppose 18 = -a*t - 3*t. What are the prime factors of m(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 3*r**3 + 113599002*r**2 - 227198013*r + 113599008 = 0.\nAnswer: -37866336, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2857 a factor of 38130390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*g + 290138 - 290138.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five quarters of a century in months?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35957568 to the nearest integer?\nAnswer: 5996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f - 2*q - 15 - 7 = 0, 0 = 4*f + q - 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 PM and 2:04 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - 0. Let t = -117\/749 - -7957\/26964. Which is greater: s or t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i - 11*i - 1334 = 0. Let h = -49 - i. Calculate the greatest common factor of h and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -3988*a**2. Let t(g) = 2627*g. Give t(f(q)).\nAnswer: -10476476*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zztzttinnzzenk. What is prob of sequence nzi?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 90 - 122.4. Let u = z - -32. Put -2, 3, u in ascending order.\nAnswer: -2, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes before 5:58 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 - -21. Let u be 2\/14 + (-44)\/n. Let s be 2\/11*7\/14. Which is the smallest value?  (a) s  (b) u  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.7, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19) + (sqrt(19) - sqrt(76)\/sqrt(4)*-1)**2 + (sqrt(76) + -1)**2.\nAnswer: -3*sqrt(19) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 17928, 17953, 17978, 18003, 18028?\n\"Answer: 25*d + 17903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -472 divided by -4?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -361*i = 22749 - 728 for i.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of p**4\/12 + p**2\/2 + 7*p - 59. Give g(7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -5*d + 2*s, -45*d + 43*d = 4*s - 46 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 444518 != 444516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -543*b + k - 2797 = 150*b, -47*b + 4*k - 104 = -46*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, 13, 12, -9, -56, -135, -252?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -53247, -106574, -159901, -213228, -266555, -319882?\nAnswer: -373209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00008947 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 a factor of 2142853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 0 + 0 + 12 + i. Let c be k(0). Let w = -2 + c. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/4*(-22 + 2). Suppose 24 = -3*y - d. Let j be 2 + y\/3 - -1. Is -2 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 312, 1197, 2672, 4737, 7392, 10637?\n\"Answer: 295*j**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, r: 2, t: 1, l: 4, j: 7}. Give prob of picking 1 t and 2 r.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 8*j**4 - 9*j**3 + 2*j**2 + 14*j - 5. Let u(h) = 7*h**4 - 9*h**3 + h**2 + 13*h - 4. Let y(g) = 4*m(g) - 5*u(g). Factor y(l).\nAnswer: -3*l*(l - 3)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.77 and 95.734.\nAnswer: 96.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1424 divided by 6?\nAnswer: -712\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1583 - 995. Is r a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/6*(-3 - -3). Suppose -10*y + 12*y - 32 = m. Solve 2*p = -5*v + y, 0 = 3*p - p + v - 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 + 10*c - 10. Let a(v) = -3*v - 18. Let i be a(-6). Suppose i*w - 5*n + 20 = 5*w, 5*w - 4*n - 47 = 0. What are the prime factors of k(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12 - 28*a + 66594*a**2 - 66582*a**2 + 456*a**4 - 12 + 5*a**3 wrt a.\nAnswer: 10944*a + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zmmmllmwumzlzmvww. Give prob of picking 1 m and 1 l.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j - 1. Let d be t(7). Let g be 5\/30 - (-1)\/d. Solve -g*w**2 - 2\/3*w + 2\/3*w**3 + 1\/3 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(2299) + -1))**2.\nAnswer: -88*sqrt(19) + 9200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.214199 millilitres to litres.\nAnswer: 0.003214199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 12*u**5 + 4360*u**4 - 109532*u**3 + 146968*u**2 + 562416*u - 408672 = 0.\nAnswer: -387, -2, 2\/3, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 596703 and 12?\nAnswer: 2386812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 10:08 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -196 - -290.5. What is c rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20)\/65*(-2)\/(-4).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/10510 and 19\/300586.\nAnswer: 1502930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -24*g - 47. Suppose 8 = -q + 10. Suppose h = -q*p + 4*h - 53, 5*p + 113 = h. Is k(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 0.077?\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 0*n - 4*n - 9, o - 2*n - 7 = 0. Solve 0 = o*m - u - 11, 3 = 2*m + 3*u + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -6*d**3 - 62*d**2 + 40*d + 37. Is m(-46) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 13 - 11 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2\/3  (b) -5  (c) 1003695  (d) 3  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*w - 33, -4*g + 20*w - 68*w = -2*w - 22*w - 268 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 144104.2826563 less than -3?\nAnswer: -144107.2826563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -4*f**3 - 12*f**2 + 1588*f + 1596 = 0.\nAnswer: -21, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/5  (b) -3  (c) -444\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6 - 620126?\nAnswer: -620120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 504 and 278454.\nAnswer: 23390136","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1346155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11307 + -8910. Does 51 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83780?\nAnswer: 2, 5, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28636*a**2 - 572712*a + 160.\nAnswer: -4*(a + 20)*(7159*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4622088149 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -4*m**2. Let p be (10 - 8) + 2*(0 - 1). Let d(a) be the third derivative of 0 + p*a**3 + a**2 + 1\/30*a**5 + 0*a**4 + 0*a. Calculate x(d(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 750495.8us?\nAnswer: 750.4958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 126020 is divided by 142?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -6*k**3 + 2*k**2 + 3*k + 2. Let r(t) = t**2 + 2*t - 5. Let x be r(-3). What is the tens digit of d(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -836605 bigger than -836607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -241 times 3?\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4212) - -2*sqrt(4212))*2)\/(2*sqrt(144))*6.\nAnswer: 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1089431137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20.6 - 1.6. Let i = 140 + -139.6. Let p = 145.7 - 146. Which is the second biggest value?  (a) i  (b) p  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*g + 50*g = 18 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00004033 to 6 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 936 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-84))\/((-16)\/112) + (-70)\/(-75)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9288 + -9278. Calculate the lowest common multiple of 40 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1072408*k**3 + 4542*k**2 + 3*k + 1 wrt k?\nAnswer: -6434448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 15353 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 112476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 96509423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - 0*-2*(-2)\/8. Suppose t*j - 12239994 = -3*g, 5*g - 16320015 = g + 5*j. Round g to the nearest 100000.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 938345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 409532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*-1 - (2 + -4). Let x = -1\/2 - -1. Let b = 310.2 + -310. Sort b, p, x in decreasing order.\nAnswer: x, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of 3*z**2\/2 - 2. Suppose -19 = -8*i - 3. Let p(g) = 3*g. Determine i*p(q) - 3*k(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33 + (21 - (15 - 5)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22) + (sqrt(22)*-3 - sqrt(22)))\/sqrt(11) + 5 - 6*(sqrt(2) + (2 + sqrt(2))*5).\nAnswer: -39*sqrt(2) - 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of -3*s**4\/8 - 7*s**3\/6 + 22*s**2. Let m be w(-3). Let c(y) = 2*y + 21. Let j be c(0). Which is greater: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 196\/291 - 2\/291. Which is the closest to 1?  (a) 1  (b) q  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 198588, 198597, 198612, 198633?\nAnswer: 198660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 6*n**5\/7 - 332*n**4\/7 + 1648*n**3\/7 - 2400*n**2\/7 - 32*n\/7 + 1600\/7 = 0.\nAnswer: -2\/3, 2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20*((-1)\/(-12))\/(9\/(-54)*28\/(-140)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/20*4*-5. What is the second biggest value in -0.3, 1\/7, q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - 2 - -2 - (19 + -7 - 18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -55031 divided by -3\nAnswer: 55031\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 485, 1955, 4399, 7817, 12209?\n\"Answer: 487*y**2 + 9*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 92 = 4. Let j(b) = -b**2 + 8*b - 8. Let a = -39 - -45. Let f be j(a). Calculate the greatest common factor of x and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times 240682\nAnswer: 120341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 4*c**5 - 492*c**4 - 12*c**3 + 1468*c**2 + 984*c = 0.\nAnswer: -1, 0, 2, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16398.\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n**2 + 9*n + 38. Let t(h) = -2*h**2 - 8*h - 45. Determine 9*b(g) + 8*t(g).\nAnswer: 2*g**2 + 17*g - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 32839891 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53414417.\nAnswer: 7, 491, 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1942375\/27 < 71940?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*x + 8*x + 2*x to r + o*x and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137 is divided by 112.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)\/(sqrt(256)*2))\/(sqrt(12)\/(-2*sqrt(144))).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d + 2*d + 3*g - 18, 3*g + 24 = 3*d. Calculate the common denominator of (d\/12)\/(9\/129) and -53\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - ((-4 - 13) + 27 - 31)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 83085 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.37 - 5.32. Let d = b - -5. Round d to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*l**3 - 19*l**3 - 2*l**2 + 61*l**3 - 19)*(-2 - 3 + 6) as z*l**2 + f*l**3 + j*l + p and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 2*w = -13, -q + w - 1 = -2. Suppose -64 = -p - q*u - 19, -5*p = 3*u - 189. Let a = p - 107\/3. Which is smaller: -0.2 or a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 27.9 and -7.\nAnswer: 20.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5170*z**2 - 24829*z.\nAnswer: -10340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -2 + sqrt(931) + 0 + (sqrt(931)*1 + 3 - (1 + (sqrt(931) - 1*sqrt(931))))**2 + 4.\nAnswer: 35*sqrt(19) + 942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(95)\/(sqrt(40)\/sqrt(2) + sqrt(5) - sqrt(5)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of -42*s**3 - 37*s + 120. Differentiate r(q) with respect to q.\nAnswer: -252*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -333 - -42. Find the common denominator of -4 - (z\/54 + 3) and 143\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.1, -5, 69?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -125*w**2 + 2*w + 54*w**2 - 11*w.\nAnswer: -71*w**2 - 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -4 + 9. Let v be (5 - 99\/15)\/(4\/170). Let i = 68 + v. Which is the closest to -1\/4?  (a) h  (b) -1\/4  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that 12*w + 72*w**5 - 288 - 20*w**5 - 27*w**5 - 95*w**3 + 17*w**4 + 187*w**2 - 26*w**5 = 0.\nAnswer: -1, 3, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*v**2\/4 + 480447*v\/2 + 76943106603\/4 = 0. What is v?\nAnswer: -160149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 10 = 3*x. Let a be (-95)\/130 - 1\/x. Let v = -841\/130 + a. Calculate the common denominator of -7\/2 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*w - 2*w - 2*w + (2*w - 1 + 1)*(0 + 2 - 4) - w + w + 2*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -3*t**3 - 1218*t**2 - 118611*t + 1028376 = 0.\nAnswer: -207, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 21*g**3 + g**2 - 1. Give t(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 672228*g*x**3*y + g*x**3 + 3*g*x**2*y - 36*g*x**2 - 14*g*x + 5*x**3 + 109*x wrt y.\nAnswer: 672228*g*x**3 + 3*g*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -197708670 divided by -6?\nAnswer: 32951445","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Convert 23310 (base 4) to base 3.\nAnswer: 1001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 154.5 - 154.52. Suppose -x - 4*j + 3*j + 3 = 0, 0 = 3*x + 5*j - 9. Which is the third biggest value?  (a) m  (b) -0.1  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34*0.325\nAnswer: 11.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**2. Let z(a) = 8 - 28*a - 4*a - 8*a - 3*a + 22. Let l(m) = -3397*m + 2365. Let w(b) = -6*l(b) + 473*z(b). What is w(s(g))?\nAnswer: 43*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -90*a**2 + 9*a**2 - 2 + 2.\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of -27*l**8\/56 + 13*l**4\/4 + 31*l. Find the third derivative of i(n) wrt n.\nAnswer: -3240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 4408, 8820, 13230, 17638, 22044, 26448, 30850?\n\"Answer: -l**2 + 4415*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7584683 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 2*t**5\/5 + 64*t**4\/5 + 586*t**3\/5 + 1772*t**2\/5 + 312*t\/5 - 2736\/5 = 0.\nAnswer: -19, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -34.8 - -38.8. Which is the third biggest value?  (a) 1\/5  (b) h  (c) -8  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10002 (base 3) to base 4\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/20 - 266\/420)\/(16\/3792)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -l**4\/5 + 1976*l**3\/5 - 498247*l**2\/5 - 104177136*l + 521381952\/5 = 0?\nAnswer: -377, 1, 1176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 946.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -31 - -33. Suppose -t + 5*t - 4 = 0. Let q be -1*(-1)\/(2 - t). What is the greatest common divisor of s and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 478784 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0194631 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/(-6))\/((-7)\/(-273)). Let w(b) = -4*b**2 + 7*b - 7. Let d(h) = -9*h**2 + 15*h - 15. Give q*w(n) + 6*d(n).\nAnswer: -2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(133)*2*4)\/((sqrt(7) - sqrt(35)\/(2*sqrt(5))) + sqrt(7) + -3*sqrt(28)).\nAnswer: -16*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1440957 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**2 + 2*w - 2. Let d be f(3). Let k be 1*4 + (6 - 9) + -12. Let o = k + d. Is o < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -79091606 divided by 315106\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 4*j. Let m(c) = 1. Let l(d) = -10. Let w(s) = 3*l(s) + 24*m(s). Let t(k) = 2*k - 5*k - k**2 - 1 + 3*k. Let z(n) = 6*t(n) - w(n). Give b(z(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -6*l**2. Let a(h) = -2*h**2 - 92. Determine a(q(k)).\nAnswer: -72*k**4 - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from {h: 2, v: 4, l: 5, w: 2, c: 4}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 310382.4 days to seconds.\nAnswer: 26817039360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*i**2 - 192*i + 594 = 0. What is i?\nAnswer: -99, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 238 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 13*w - 1 - 2*w.\nAnswer: -15*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(325) + (sqrt(325) + 0)*4)**2 + sqrt(325) - (-2*2*sqrt(130))\/sqrt(10)).\nAnswer: 9*sqrt(13) + 8122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 168722329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 46\/6 - (-1)\/3. Let v = 0 + b. What is the tens digit of 38 + (-4)\/(-8)*v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, 6, -3 in decreasing order.\nAnswer: 6, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x - 4*x - x**2)*(2*x**3 - x + x) - 2 + 2 - 3*x**5.\nAnswer: -5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15.7 - 9.4. Let n = -6 + i. Let x = -0.03973 - -0.13973. Which is the nearest to x?  (a) n  (b) -3\/8  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: Suppose 0 = 20*s - 3 + 18 - 75. Solve -16*h + 19*h - 21 = s*q, -3*q + 2*h = 18 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 48.96 - 42.96. What is the biggest value in 9, 4, m?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/2*(-11 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 148154564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyayuyuyycufy. Give prob of picking 1 u and 2 y.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54158 + 0*j - 5*j + 4*j.\nAnswer: -j - 54158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 - 26*c**2 - 27*c - 16. Give t(-25).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5766003m in micrometers?\nAnswer: 576600.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 112\/9, 0.03, -0.5, 7.\nAnswer: -5, -0.5, 0.03, 7, 112\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -7*g**2 + 159*g - 869. What is r(13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**3 + 15*f**2 + 21*f - 13. What is the tens digit of c(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = -n + 7, -8*h - 4*n = -25*h - 67 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 10, v: 2, w: 1, r: 1, i: 3}. What is prob of sequence llv?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 - 21. Are -0.01 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.11 + -4.89. Let r = 1.9 - -3.3. Let n = r + d. What is the closest to -1 in -11, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -2*l**3 + 17*l**2 + 28*l + 17. Let m be c(-9). What is the highest common factor of 1000 and m?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 0) + -19 + 14 - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + o = 0. Calculate the lowest common multiple of 2 and 2 - o - (-4 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, v: 2, i: 1, s: 5}. Give prob of sequence svs.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1491873128.\nAnswer: 2, 1277, 146033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -217 (base 10) to base 8.\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 - 6*w**2 + 3*w + 7. Let h be q(6). Suppose 4*b - n = h, -3*n + 14 = -3*b + 44. Suppose 3*m - 6*m + 6 = 0. Put b, -4, m in descending order.\nAnswer: b, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -304 and -0.1.\nAnswer: -304.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -477  (b) 0.27  (c) 7  (d) 0.008  (e) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**3 + 6*q**2 + 8*q - 37. What is a(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 + -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -2*g**3 - 6*g**2 + g - 6. Let w(l) = -l**3 - l**2 + l - 1. Let u(a) = 3*w(a) - x(a). What is u(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-752 + -9)*(1*-35)\/5 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -3*-2*sqrt(2800)*-1.\nAnswer: -120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -13*m + 36. Let i(o) = -26*o + 73. Let l(d) = -7*g(d) + 3*i(d). Is l(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*u**2 + 13*u**3 + 847*u + 6*u**2 - 12*u**3 - 847*u.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -20*233954\nAnswer: -4679080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 PM and 12:16 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -32.27 * -0.4.\nAnswer: 12.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*n - 4*n - 10*n)*(2*n + 7 - 7)*(4*n - 5*n + 0*n) in the form v*n + m + h*n**2 + y*n**3 and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1960 - -1960. Solve s = 41*o - 61*o + 100 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 5*g + 26 = 0, 5*m = 3*m + 4*g - 28. Let t = 15 + m. Let y be (-366004)\/6 - (-6)\/t. What is y rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 13 + (31 - 74) + 18 - 33?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2030022421412 - -4?\nAnswer: 2030022421421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes after 11:19 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n - 2*n = -n. Suppose 2*x + n*x - 6 = 0. Solve x*m = 7 - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -23?  (a) 3  (b) 4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 184 + -129. Let p be 2*3\/(-90) + 22\/k. Let v = -4 + 6. Put v, p, -3\/4 in descending order.\nAnswer: v, p, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 + 3*z - 2. Let d be r(-4). Let s(g) = g - 2. Let m be s(d). Suppose -5*k + 10 = -u, -3*k + 2*u + u + 18 = m. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**2 + 6*i - 2. Let h be u(5). Suppose 9 = 3*s + 3*r, h*r = s + 8*r + 1. Suppose m + 3 = s*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 - f**2 + 3*f - 2. Let p be q(2). Let k = -0.0503 + -44.7497. Let y = k - -45. Which is the closest to p?  (a) y  (b) 0  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**4 - 7*h**4 + 4*h**4 - 5 + 5 + 2*h**4 + (-h - 3*h + 5*h)*(-2*h**3 - 2*h**3 + 6*h**3) + 5*h**4 - 3*h**4 - h**4.\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1165*-3730.\nAnswer: 4345450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 + 265*b**2 + 15403*b + 1059. Determine v(-179).\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2478)\/28)\/(2433\/1622).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 3*y**3 - 12*y + 4*y + 7 - y**2 + 0*y**2 + 7*y as s*y**2 + j*y + u*y**3 + t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qch when three letters picked without replacement from {q: 4, e: 3, c: 2, h: 2}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 2:02 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(63) - sqrt(2268)*-2) + sqrt(63))\/sqrt(9).\nAnswer: 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*j - 12*j. Suppose -3*q + q = -3*c + 192, -2*q = j. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 1499?\nAnswer: 5996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4325.9986846 + -4326. Round g to five dps.\nAnswer: -0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (13*2)\/(8\/668)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/6 and 2\/(-11) + -679*2\/396.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 4*w**3 - 439632*w**2 - 16*w + 1758528 = 0.\nAnswer: -2, 2, 109908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 p when three letters picked without replacement from pxxxpphhphxxxphpx.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-5)\/4)\/((-3)\/12). Suppose -2*g + 8 = 0, 0 = b*z - 0*z + 5*g - 55. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 317*i - 340*i + 22862. Calculate the greatest common factor of 568 and i.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 714 is divided by 71?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -1\/989, -5, -0.1, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 45 = -8*a + 5*v, 3*a - 4*v - 23 = 0. Find the second derivative of 12*i**3 - a*i**3 - 7*i - 10*i**3 wrt i.\nAnswer: -66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 175 + -173. What is the second derivative of 25*z**4 - 18*z**4 - 5*z + n*z + 4*z**5 - 4*z**4 + 9 wrt z?\nAnswer: 80*z**3 + 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 7516406846 and 0.20312.\nAnswer: 7516406846.20312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 261534565?\nAnswer: 5, 661, 79133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 135 - 141 = 0. Suppose 0 = -p - 4*r - 5, 7*p - y*r = 5*p. What is the tens digit of 26315\/133 + p\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2927740 is divided by 3346.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -69672510 by -3.\nAnswer: 23224170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 2200 = 4*r - 23050, -r + 5*w + 6305 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 5*a - 7274 - 1084 = 0, 0 = 2*a - 4. List the prime factors of q.\nAnswer: 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 58 by -187827.\nAnswer: -58\/187827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -0*o + o + 4*k, 36 = 4*o + k. Suppose 2*b - s = -0*s + 21, 0 = -3*s - 9. Which is smaller: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 0*a - 106 = h, 2*h + a = -198. Let l = -94 - h. Let m be (19\/l - 4)*4. Solve -k - 3 = -z, z - m*k - 25 = 6*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1928 = -2*n - c + 4867, 0 = -3*n + c + 4411. What is the greatest common divisor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p = 17\/30 - -1\/10. Let l be (40\/(-72))\/((-10)\/6). Factor 0 + p*n**2 + 1\/3*n**3 + l*n.\nAnswer: n*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the third derivative of -7*t**4\/24 - t**3\/6 + t**2. Let o = -6 + -1. Let m be d(o). Calculate the highest common divisor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 917.1306 months to years.\nAnswer: 76.42755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 16*g**3 + 11*g + 6. Let v(l) be the third derivative of 0*l**5 - 1\/12*l**4 - l**2 + 0 + 0*l - 1\/40*l**6 - 1\/6*l**3. What is 2*o(j) + 11*v(j)?\nAnswer: -j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 28831*v - 28827*v - 62 = 0, d = 8*d + 2*v - 169 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 220079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, q: 3, c: 2, l: 1}. What is prob of picking 2 c and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -30 - (30 - 32 - -5 - 20)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnneeneene. Give prob of picking 2 e.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 135 divide 222221610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 454 is divided by 451?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -124*m**2 + 59*m**2 + 64*m**2. Let y(u) = -28*u - 2. Give j(y(q)).\nAnswer: -784*q**2 - 112*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1309 - 1308. Calculate the greatest common factor of n and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6596351, -13192742, -19789133, -26385524?\nAnswer: -32981915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -2*v**2 + v + 16. What is the remainder when 56 is divided by u(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 10, 1, -0.03, -5\/2, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 3  (b) 16  (c) 4  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 198  (b) 2  (c) 169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 969977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w + 4*w - 2*w)*(-1 - 3 + 5)*(-1 - 1 + 0) + w + 0 + 0.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 0 - 5 = 0. Let a be (-3538)\/(-1914) + (-5)\/3. What is the nearest to -0.2 in a, w, 8\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14 and 4955626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 275*z - 405*z + 284*z - 2772 = 0 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1605*h - 456*h + 38070 = -793*h - 29900 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 5*j - 10, 3*s + 10 = 4*s + 5*j. Suppose o - 373 = 5*m - 1884, s = -3*m + 4*o + 893. What are the prime factors of m?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 83\/108 - 1\/54. Is 0 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + y + 7, -2*f - 14 = 3*y - 6. Let o = -253 + 258. Let j be (5\/(-1) + o)\/(-1). Put 1, f, j in ascending order.\nAnswer: f, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 4*i = 20, 0 = 362*h - 363*h - 79*i - 395 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(63) - (sqrt(1575) - (sqrt(1575) + (sqrt(1575) - -2*sqrt(1575)))))\/((sqrt(1089) - (sqrt(1089) + -1*sqrt(1089))) + sqrt(1089)) + -5)*4)**2 + 0.\nAnswer: -1280*sqrt(7)\/11 + 55568\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 27 - 24. What is the smallest value in -7, -1, -3\/5, r?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {e: 7, p: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 486 + -1454\/3. Find r, given that -m*r + 4\/3*r**3 - 1\/3 + 1\/3*r**2 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -67827 (base 9) in base 16?\nAnswer: -b056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28566*-3.\nAnswer: -85698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**25\/i*i)\/i*(i*i**(1\/12))\/i assuming i is positive.\nAnswer: i**(289\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4 - -4) + (72 - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -33*t - 1. Let r = -4 + 3. What is the units digit of p(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t**(1\/2)*t**(-2\/11)*t**0\/t*t**4\/t*(t\/(t*t*t**(3\/5)*t*t*t))\/(t*t**(4\/7))*(t**(2\/3)*t)\/(t*t**(-3)) assuming t is positive.\nAnswer: t**(1879\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07322082 rounded to 3 dps?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 4*q = 3*n - 85, -50 = -2*n + 2*q. Suppose n = w + 4*w. Suppose 10000 = w*z + z. What is z rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 2*d - 20, 5*d - 7 = o + 17. Suppose 1 = a - 0*a + 4*l, d*l = -5*a + 21. Solve b + 3 = -5*g, 16 - 1 = g - a*b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001393224406 to 6 decimal places.\nAnswer: 0.001393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 37 or 1\/6127?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -5*f**3 + 32*f**3 + 90 - 16*f**3 - f**2 - f - 12*f**3. Calculate j(0).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2966075?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 0.118  (c) -6668\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -569*f + 193*f - 380*f - 31*f in the form r*f + l and give r.\nAnswer: -787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - 11011110?\nAnswer: -11011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 7, t: 2, s: 4, y: 2, e: 1}. What is prob of sequence eqst?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 10 + 0 + (10 - (-7 - -5)) + -8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 - (-1 + 2 - 0). Let y be 0 - h\/(-20)*-2. Let p = -475\/6 + 79. What is the nearest to 1 in 3, p, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 + 3*w**2 - 2*w + 3. Let p be c(2). Let v be 206\/8 - p\/4. Suppose 3*y - v = y - 3*h, -y + 8 = 3*h. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 70.135 and 0.15.\nAnswer: 10.52025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1943526 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 303243810 and 4880.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -33  (b) 1  (c) -2  (d) 2  (e) 1272\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of j**4\/12 - j**3\/2 + j**2\/2 + 14*j + 2. Let s(g) be the first derivative of z(g). What is s(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 470608*w - 40472 wrt w.\nAnswer: 470608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/7, 0.2, -0.3, 2\/19?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**0*(t\/(t*t**(-1\/7)*t))\/t)\/(t**(3\/13))**10 assuming t is positive.\nAnswer: t**(-288\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of u**3\/12 + 1487*u**2\/8 + 743*u\/2 + 5704. Find x, given that h(x) = 0.\nAnswer: -1486, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange g - g + g + (1 - 1 - 2*g)*(3 + 1 - 3) - 2 + 3*g + 2 + 4*g + 0*g - g to the form z + b*g and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02408 to 4 decimal places.\nAnswer: 0.0241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/4)\/((-5)\/105)*(-92)\/(-69).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-5)*-3*10\/24*(-204)\/(-459)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -196 + 203. Determine d, given that -39 - 21*d**2 + 15 - 83*d - r*d = 0.\nAnswer: -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -348234 by 3.\nAnswer: -116078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4602 - 66?\nAnswer: 4503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/22*180\/(-8460))\/(10\/(-110))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the second derivative of -2*k**2 + 0 - 1\/6*k**3 - 47*k. Let p(b) = -2. What is 2*l(t) - 5*p(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and 1.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 57 = 18. Let h = -11 + g. Is h\/10 + (-1148)\/(-35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000443627 to 7 decimal places.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 3*o + o - 243 = 0, y - 3*o = 46. Suppose -5*w + w + 12 = 0, 3*w - y = -2*c. Let b = c + -8. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -172 + 387. List the prime factors of v.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 19 + 10 = 5*k, -4*k - 20 = 0. Let x = y - -54. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 222 and 30?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 AM and 10:00 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 192 - 112. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.54 - 0.8. Let v = 0.04 - k. Let o = -0.2999972 + v. Round o to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*6*115 - 5. Suppose -10 = 5*y, -5*q - y + j = -783. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -30*x - 449*x + 14849 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzvv. What is prob of picking 2 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14\/637*21*-1)\/(11\/(-286)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-8) + -38*((-38)\/32 - -1). Suppose 4*a = -20, 3*a = -2*j + 6*j - 23. Sort q, j, 3 in decreasing order.\nAnswer: q, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 7*k**2 - 33*k + 23. Let x be y(1). Sort 3, -1, 76, 2, x in descending order.\nAnswer: 76, 3, 2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 142764476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 5*y = -35, -52*q + 3 = -55*q + 4*y. Let b(x) = x**2 + 8*x - 2. Let z be b(-8). What is the third biggest value in 4, z, -15, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 940 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: Let b(x) be the first derivative of 2*x**3\/3 - 6352. Let v(h) = -119*h**2 + 14*h - 1. What is v(b(j))?\nAnswer: -476*j**4 + 28*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/2 - 0 - (-12 + -305). Suppose -26*u + 17*u + a = 0. Solve -7*p + 25 = -2*p, -4*o - u = -3*p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, x: 2, n: 3}. Give prob of sequence wxwx.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 6*n**5 + 541070*n**4 + 16265045056*n**3 + 163011887629584*n**2 + 706025267831072*n - 543138059102240 = 0.\nAnswer: -30058, -5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95*h - 97*h + 6 = g, g = 5*h - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*x = 13*x - 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 158 is divided by 55.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 14520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/((-12)\/(-3))*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -123, -509, -1165, -2103, -3335?\n\"Answer: -2*r**3 - 123*r**2 - 3*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2421512, 2421510, 2421508, 2421506, 2421504?\n\"Answer: -2*v + 2421514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 2*c - 61 = 0, -2*c + 94 = 5*m + 407. Let p be ((-4)\/6)\/(14\/m). What is n in 8\/7*n**2 + 2\/7*n**p + 0 + 8\/7*n = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00428566 rounded to 4 decimal places?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179*c + 2079 = 175*c - 57*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 246210640 + -140?\nAnswer: 246210500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 50 + 24. Suppose -2*b = -3*r + j, 0*b = -4*r - 4*b + 72. What is the remainder when (12\/15 + 0)\/((-98)\/(-5145)) is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1104481 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 733982 is divided by 260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 3*y + 3. Let o(g) = -17*g - 15. Calculate 2*o(i) + 11*z(i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.52 - 2.48. Which is the third smallest value?  (a) 0.2  (b) -0.9  (c) -5  (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 10*i**2 + 17*i + 34. Let d = 148 - 155. What are the prime factors of z(d)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkkkkkkkmkm. What is prob of sequence mm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*d**5 - 72*d**4 + 129*d**3 + 138*d**2 - 180*d + 24 = 0.\nAnswer: -2, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/4 of a day in hours?\nAnswer: 306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*q + 19752 = 3*q. What are the prime factors of q?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -328*a + 651*a - 323*a + 11961*a**3 - 11999*a**3.\nAnswer: -38*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 3*s + 3*q + 19 = 0, -2*q = -4. Factor o**2 - o**s - 8*o**4 + 4 + o**3 + 7*o**4 - 4.\nAnswer: -o**2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence otzz when four letters picked without replacement from zuzztjutouzzoooozj.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-6)\/195 - 0)\/(428\/6). Let h = c - -84863\/27820. Let d = 80\/9 + -1967\/198. What is the common denominator of h and d?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 12*p**2 - 4*p + 3. Let h(w) = 11*w**2 - 3*w + 2. Let f be (-60)\/(-30)*(-2)\/(-8)*10*-1. Give f*i(m) + 6*h(m).\nAnswer: 6*m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -44533, -44526, -44521, -44524, -44541, -44578?\n\"Answer: -f**3 + 5*f**2 - f - 44536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 13475+-0.1\nAnswer: 13474.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*u - 14*u + 37*u - 76815 - 76816 + 230449 - 76818.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - -5322?\nAnswer: 5330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 46553046?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-6)*3\/(-5). Let u(t) = 10*t + 340. Let l be u(-34). Which is bigger: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwiwiiwiwijwjwj. What is prob of sequence ijjj?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from pvzzpvzbvoybyp.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 386715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88*x + 86*x + 10 = 0. Suppose 78 = 3*g + 3*r, x*g = 3*g - 4*r + 54. Solve -g = 10*t - 15*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 875 a factor of 14517840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 48032.357 rounded to the nearest 100?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -4*x - 7. What is k(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -6*u**2 + 9*u + 1. Let v be s(4). Is -59 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(39\/((-1248)\/256))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - d + 0*d - 49208 = 0, -3*d + 39374 = 4*v. What is v rounded to the nearest one hundred?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-3)\/2)\/((-1)\/(-2)). Let i(b) = 2 + 0*b + 3*b**2 + 3*b + 3*b**2 + 3*b**2. Is i(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.3, 265.3, 0.0635?\nAnswer: 265.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -a4 (base 12) in base 4?\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 53249977 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -35*l**2 - 22*l + 31*l - 5 - 9*l in the form x*l + d + p*l**2 and give p.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8.3 * 2.\nAnswer: 16.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -667*q + 17*q**4 - 10*q**3 - 18*q**4 + 21 + 668*q in the form u*q + t*q**4 + k + z*q**3 + p*q**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 16*z - 91. What is x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1211110011 - 0?\nAnswer: -1211110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x**2 + 375400*x - 750784 = 0. What is x?\nAnswer: 2, 93848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 9 - 9. Solve y*s - 3*s - 6 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -209 divided by 49.\nAnswer: -209\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 833*x**2 - 5989*x - 3. Let o(m) = 833*m**2 - 5987*m - 4. Let r(d) = 4*f(d) - 3*o(d). What is the second derivative of r(t) wrt t?\nAnswer: 1666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 230 + -215. Suppose -s + 440 = -5*c, -s + p*c - 20*c = -480. What is the greatest common factor of s and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v + 5*w + 325, v - w - 55 - 26 = 0. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 62 + -48. Let l = h - 18. Which is the nearest to -1?  (a) -0.2  (b) 1\/4  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 + 10 + 33*j**2 - 4 to the form a + r*j + m*j**2 and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -651*v**2 + 20*v**3 - 178 - 669*v**2 - 1335*v - 157 = 0 for v.\nAnswer: -1\/2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 16*c - 6. Let v be t(-6). Let o be -1*3\/1 - v. Suppose -f = -22 - o. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 y when three letters picked without replacement from qpqy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2\/7, -0.04, -3587, 5, 2\/5, 4\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of 0 + 0*y**2 + 0*y**4 + 9*y + 3\/2*y**3 - 1\/1440*y**6 + 0*y**5. Let o(n) be the second derivative of j(n). Factor o(g).\nAnswer: -g**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 344969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -3*w - 3. Let u be ((-96)\/60)\/((-8)\/10). Let a(p) be the third derivative of 7*p**4\/24 + 7*p**3\/6 + p**2. Calculate u*a(t) + 5*o(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (5\/10)\/((-242)\/88)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1844 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 43489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {f: 4, j: 5, g: 1, r: 3}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 33.4 + -217.4. Let y = b + 184.13. Put -4, -2, y in increasing order.\nAnswer: -4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x + 45 - 3*x**2 + x**2 - 2*x in the form i*x + p*x**2 + q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*r**3*z - 328*r**3 + 967*r**2*z - r**2 + 6525756*r*z wrt r?\nAnswer: 30*r*z - 1968*r + 1934*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -14 and 262.\nAnswer: -3668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 0)*(1 - 6 + 4)*(-3*s**5 + 4*s**5 + s**5 + (s**2 + 2*s**2 - 4*s**2)*(-2*s**3 + 4*s - 4*s)).\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - -4. Suppose r*i = -0*i - 2*s + 4, -i - 2*s = -4. Suppose 4 = n + 2*w, i*w = -4*n - 3*w + 36. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z + 11 = -s - 34, 4*z + 13397 = -0*z + 5*s + 13758 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*g + 44 - 22 = -18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -5*t**2 - 3*t. Let a(x) = x**2 + x. Suppose 0*w = 4*w + 16. Let j(l) = w*a(l) - 2*m(l). Find the second derivative of j(b) wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -76\/21 and -39\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 0.1, -52393\/20, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (672\/392)\/(828\/(-126)).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b - 2*b + b**3 + (0 + 2 - 1)*(4*b - 5*b + 0*b)*(0*b**2 + 2*b**2 + 2*b**2).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 4*q = 28, -3*q = 3*d + 32 - 2. Let z(o) = -2*o**2 - 55*o - 73. Let n be z(-26). What is the third biggest value in 3, d, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 207963740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k + 6 + 71 = 0. Suppose 0 = -4*n - 3 + k. Solve -b = 5*z - 21, 3*z + 4*b + 3 = n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 2*h - 6 = 0, h + 3*h = 5*c + 12. Let a be 2*1\/(10\/15). Suppose g + 2*w - 21 = c, g - 3*g + a*w + 42 = 0. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**3 - 6*p**2 + p - 6. Let m be l(6). Let o = 49 - m. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from emememeeemeeemeeee?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.75 + 6.593. Let a = 1.164427 + o. What is a rounded to 4 dps?\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -126192494*d**2. Let p(v) = -v**2. Give p(r(n)).\nAnswer: -15924545541940036*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 PM and 12:57 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3 and 22442307.\nAnswer: 22442307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -252 + 16. Let s = -3927 - -7263. Let b = x + s. What is b rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 21082*x**3 - 316228*x**2\/5 - 1054106*x\/5 - 4 = 0.\nAnswer: -2, -1\/52705, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 3*u**5\/7 + 125*u**4\/7 + 523*u**3\/7 + 171*u**2\/7 - 526*u\/7 - 296\/7 = 0?\nAnswer: -37, -4, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -478 + 1911\/4. Let o(f) = f**2 - 8*f + 2. Let m be o(8). Which is the nearest to n?  (a) 0.5  (b) 26  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -22*l**3 + 2*l**2 + 3*l + 1. Let k(h) = -3 - 6 + 1 - 3 + h. Let g be k(9). Is j(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 467 = -508*x - 84*x - 1901 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/5*46\/276*5\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10616, 10301, 10004, 9731, 9488, 9281?\nAnswer: 9116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:29 PM and 12:29 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2*3*(115\/15 + -7). Let v(r) = r**3 + 5*r**2 + 4*r - 8. What is the tens digit of v(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 + 12*v + 8. Let q be s(-12). Suppose 5*y + q*y = 1703. List the prime factors of y.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 AM and 6:01 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -1) + (56 - 48) - -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 30\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of -o**6\/40 + o**5\/10 - o**4\/8 - o**3\/2 + 3*o. Let f(p) be the second derivative of n(p). Solve f(y) = 0 for y.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (-11 - -4)) + -7 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, i: 4, g: 2, d: 3, z: 1, e: 2}. What is prob of picking 2 g?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24 + 36. Let t = -2 - -2. Suppose -48 = -t*y - y. What is the highest common factor of o and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rkrkkkl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 + 6*i**2 - 16*i. Let u be z(-8). Which is smaller: u or 8\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**2 + 80*f + 2120. Calculate r(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((x*x*x**3)\/x*x)\/x)\/x*x)\/(x\/(x\/(x\/(x\/(x*x**(7\/2))*x)))))\/(x*x**(-1\/3))**(26\/9) assuming x is positive.\nAnswer: x**(-77\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1\/8  (b) -1\/4  (c) -6\/41  (d) 0.4  (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 52 and 98891468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 38, 0, -5.\nAnswer: -5, 0, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/6 and -31\/7080?\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 247014163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -227*u = -229*u + 16180. List the prime factors of u.\nAnswer: 2, 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 11 = 5*o + 3*j, -5*o - 23 = 9*j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide (3 + -4)*1 + 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k**4 + 20052*k**3 + 47831658*k**2 - 20052*k - 47831655 = 0. What is k?\nAnswer: -1865, -1, 1, 8549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gssssgotssssmsss. What is prob of sequence gmgt?\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 71 - 77. Suppose -p*x - 452 = -3*x - 5*j, -x + 461 = -4*j. List the prime factors of x.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (0 - -4) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 112 and 544.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 560 + -360. Suppose -12*s + 17*s - c = 0. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13 - -17. Let z(u) = -u**3 + 5*u**2 + 1. List the prime factors of z(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3 - -7)\/12*-3. What is the tens digit of (4*c)\/(3\/(-15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand z**2 - 5*z + 7*z - 5*z + (7 - 7 + 4*z)*(5*z - 4*z - 7*z).\nAnswer: -23*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.4738 + 0.8938. Round g to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 162239 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 783 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 6:08 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 690 and 76710.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -420 (base 14) to base 11\nAnswer: -679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5260 or 5259?\nAnswer: 5260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 58797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = -4*f + 64. Suppose 0*n = 5*s + n - 12, -s - f = 2*n. What is the highest common factor of s and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 116524174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence quyl when four letters picked without replacement from {t: 4, y: 4, q: 4, m: 2, u: 1, l: 5}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 60727727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 2*m - 4 = 0, -4*q + 2*m - 187 = -183 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2, -5, -8, -11, -14?\n\"Answer: -3*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2439569603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 32443611 - -102?\nAnswer: 32444013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 23 = u, 0*u + 4*u - 2*n + 52 = 0. Let p = u - -114. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/(-2))\/(3\/12). What is the remainder when 1\/(-2) - (-93)\/j is divided by 5041\/213 + ((-2)\/(-2))\/3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98573555053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + 7. Solve -2*k - 3*m + s = 0, 4*m = -k + 6*k + 45 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j + 11. Let g(w) = -6*w**2 + 18*w**2 - 3 + 3 + 9*w**2. Determine u(g(n)).\nAnswer: -21*n**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 (base 7) in base 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43785*b - 21884*b - 21883*b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 5*a = 629, -3*y + 917 + 981 = 4*a. Let x = y + -215. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - -3. Let h = 35 - b. Let z = h - 21. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2968146\/575 - -5162. Which is bigger: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 33, 132, 245, 378, 537, 728, 957, 1230?\n\"Answer: s**3 + s**2 + 89*s - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:22 AM and 3:51 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s - s + s + (s - s + 2*s)*(3 - 3 - 2) - 2*s - 2*s + 3*s)*(2*s - 2*s + s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 170*j - 616*j - 32828 = 120*j for j.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + 2. Suppose -h*g + 5 = -27. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 965 + -964. Let d(f) = -f**2 - 7*f + 6. Let m(n) = -n. Give r*d(z) - 5*m(z).\nAnswer: -z**2 - 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -7 + (9 - 5) + 7. What is the fourth biggest value in a, -1\/8, 2\/17, 12?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 88*c + 17. Is t(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -34 + 24 - 2*t + 9. Let m(r) = 2*r + 1. Let a(z) = 8*z + 4. Let u(y) = -a(y) + 2*m(y). Calculate 6*u(c) - 10*w(c).\nAnswer: -4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -326879057 - 8643.\nAnswer: -326887700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c - 3. Let n(o) = o. Determine -l(z) + 2*n(z).\nAnswer: 3*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**3 - 8*n**2 + n - 8. Let b be g(-6). What is the tens digit of 570\/(-342) - -1*b\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -107, -239, -367, -491?\n\"Answer: 2*d**2 - 138*d + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 64*b + 20. Let u(l) = -162*l - 52. Let m(n) = 12*q(n) + 5*u(n). Suppose -7*v + 2*v - 25 = 0. Let g be m(v). What is g rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 2*i = 11 - 3, -5*i - 6 = -3*u. Suppose -5*y + 2*o + 185 = 0, u*o + o - 132 = -3*y. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 74 + 13 = 5*o, 0 = -c + 2*o - 12. Is 7 a factor of 44\/77 - 1098\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -3*d**2 - 16*d + 7. Suppose -9*q + 10*q - 7 = 0. Let b(w) = -4*w**2 - 24*w + 10. Let s(k) = q*u(k) - 5*b(k). Is s(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4732183*r = -4732169*r + 700 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -2*u**3 + 26*u**2 + 4*u + 14. Let s be l(13). Let i be (-2)\/10 + s\/60*22. Let q be (0 - 3) + (i - 14). Is q greater than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 245 - 213. Let f = 246 + j. What are the prime factors of f?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1)\/(-2))\/((-7)\/(-1008)). What is the highest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 - 2 + 2*l**2 + 119*l + 22.\nAnswer: 2*l**2 + 119*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.48 - -0.02. Sort 2\/9, r, -3 in ascending order.\nAnswer: -3, 2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0*((-21)\/6 + 4). Solve 0 = -2*c - s*c - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.4  (b) -29  (c) -0.4  (d) 150  (e) 1  (f) 4\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 16 = 3*x. Suppose 0 = w - 3 + x. Let h(r) = r**2 + r. Let o be h(1). Put o, w, -5 in increasing order.\nAnswer: -5, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -m + 0*m**3 + 772*m**4 - 2 - 770*m**4 + 2*m**3 as g*m**2 + w*m + i*m**3 + u + r*m**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4115.081 rounded to the nearest one hundred?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 152, 332, 532, 758, 1016, 1312, 1652?\n\"Answer: h**3 + 4*h**2 + 161*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 5*a - 550 = 0, m + 4*a = -0*m + 115. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5368*x - 5378*x + 50 = 0. Solve 0 = x*k - 5*f + 5, -k + 17 = 7*f - 2*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 5*c + 41 + 0 = 0, 2*x - c = 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (11 + -11)*(0 + 1). Let n(b) be the second derivative of 0*b**5 - 1\/18*b**4 + 1\/6*b**2 + 1\/90*b**6 + c*b**3 - 2*b + 0. Let n(u) = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4092902613 minus -250?\nAnswer: -4092902363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(34)\/(sqrt(2) - sqrt(14)\/(sqrt(7) + sqrt(175)) - sqrt(2)) + 4.\nAnswer: -6*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 29 = -4*s - 17, 0 = -l + 3*s + 50. What is the second derivative of -41*m + 36*m + l*m**2 - 47*m wrt m?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 + -14. Calculate the remainder when 25\/2*(f + 9) is divided by (-34)\/(-4) + 1\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -68\/40125 and -19\/642.\nAnswer: 80250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4514, 1, 0, 5.85, -7, -0.1 in decreasing order.\nAnswer: 5.85, 1, 0.4514, 0, -0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7.5 - 19. Let l = 12 + o. Let w be 2\/(-2) + (-5)\/5. Which is the closest to w?  (a) -0.3  (b) 5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + -17)*-1 - 23430\/639.\nAnswer: -59\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -3*i - 0*a - a, -4*i = 4*a - 28. Calculate the smallest common multiple of i and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 2*t - 82 = 0. Let l = 166 + t. Suppose 2*h - l = -2*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -3*c - 120, 2*c - 5*w + 67 + 8 = 0. Let d = -1 + 5. Calculate the remainder when (0\/4 + c)*(-2)\/5 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from uuzmbummubmimuuummms.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 8*o - 272 = c, 52 = -o + c. Let u = o - -57. Suppose u*t - t + 183 = a, -3*a + 521 = t. Does 37 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 149 divide 4285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of -a**3 - 34. Let c(n) be the third derivative of 0*n**3 + 0 + 1\/60*n**5 + 0*n + 0*n**4 + 11*n**2. Give c(u(w)).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (191\/(-2))\/((-525)\/(-30) + -18) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 5*b + 19, 0 = -3*i - 0*i + 2*b - 4. Solve -6*o + i*o = -20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from psspunuzpxuns. What is prob of picking 2 p and 1 s?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 231460887.\nAnswer: 3, 7, 131, 84137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*f - 6*f**2 + 5*f)*(-3*f - 10 + 10)*(4*f**2 + 7*f**2 + 29*f**2).\nAnswer: 720*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43780644?\nAnswer: 2, 3, 17, 71537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -146.3 + 145. Let c = 3.22 + -1.91. Let f = p + c. What is f rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**2 + 8*n**2 + 0*n**2 + (-2*n**2 - 3*n**2 + 3*n**2)*(2 + 1 - 2) - n**2 + 4 - 4 + (6*n + 5*n - 23*n)*(6*n - 2*n - 2*n).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 69*y**2 - 1838 - 146*y**2 + 39*y**2 - 57*y + 36*y**2 wrt y?\nAnswer: -4*y - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 69 + -41. Let o = i + 92. Is o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -3*g + 172, -5*k + 172 = -k - 5*g. Suppose 0 = 3*m - k + 1. What is the greatest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 0.5  (b) 135  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 789206, 1578412, 2367608, 3156788, 3945946, 4735076, 5524172, 6313228?\n\"Answer: -b**3 + b**2 + 789210*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 403.69 - -0.31. Let u = 221 - z. Which is the biggest value?  (a) -5  (b) 0.2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -326 = -18*p + 106. Suppose 0 = 28*c - p*c - 3420. What are the prime factors of c?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 4 = -3*n + 2*b, 3*b - 4 = -5*n. Suppose -d = d - p - 13, -n*d + 17 = -5*p. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 395 + 393 = 2*z, -5*s - 4 = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 + h + 1. Let o(b) = -4*b**3 + 6*b**2 - 3*b - 4. Let j(c) = o(c) + 5*v(c). Calculate j(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (21\/(-18))\/(3\/(-6))*-3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 112794 - 148?\nAnswer: 112647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*d = -3*d - 4*d - 8, -13*o - 2*d = 31 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(539) + 3*sqrt(539) + 3)**2 + -1) + 4.\nAnswer: -17260 - 336*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 226*p - 29251 = -1307*p + 105653 for p.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17706817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 33*u**4 + 2*u**3 - u**2 + 2*u + 30. Let d(o) = -2*o**4 + o**3 + o - 1. Let c(k) = -2*d(k) + m(k). What is the third derivative of c(y) wrt y?\nAnswer: 888*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2377*j**3 + 16*j**2 - 4*j - 9857. Let l(h) = -h**3 - 4*h**2 + h - 1. Let d(a) = -4*l(a) - w(a). Find the first derivative of d(k) wrt k.\nAnswer: -7119*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80568?\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 divided by 41?\nAnswer: 22\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -627806826*q**2 - 757643429*q wrt q?\nAnswer: -1255613652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -18*t**3 - 5*t**2. Let n(c) be the first derivative of 0*c**2 - 90 - 2\/3*c**3 - 9\/4*c**4 + 0*c. Calculate -5*n(k) + 2*p(k).\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.647 - 0.153. Let n = 0.4 - -0.1. What is the smallest value in 1, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**2 - 10*g + 1. Calculate p(12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - 8. Let k be (-4)\/(-12)*(t - 2). Solve 3 = b - k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-3)\/(-2))\/(-3 - (-54)\/16). Suppose -b*r + 2*h - 4 = -64, 2*r - 5*h - 14 = 0. What is the remainder when 57 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 2*q + 5. Let g(n) = 2*n - 7 - 5*n + 2*n + 6. Determine 5*g(p) + o(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 22072908?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -2 - 1) + (-21 - -24) + -20?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 21763517 (base 9) in base 16?\nAnswer: a10578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 212248 = 18*l - 10*l. Let n = l + -16660. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*v + 31*v + 29*v - 1399*v**2 - 1459*v**2.\nAnswer: -2858*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -85*h + 90*h + 40 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33398 is divided by 11132.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.085 + 33.915. Let j = 5 + y. Let w = j + -38.28. What is w rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5949845.\nAnswer: 5, 11, 108179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-48)\/(-20))\/((-180)\/225).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/22 + (-19318)\/(-110). Let q = 175 - z. Let p = -0.08 - -0.38. Sort -4, q, p in descending order.\nAnswer: p, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5679053?\nAnswer: 43, 132071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-3)\/(-36) - (1 + 61\/(-42)) and -103\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -195374 by 192.\nAnswer: -97687\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lyyl when four letters picked without replacement from yyyywyyyyyylyylyy?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -32*g**3 + g**2 - g + 4. Suppose 22*u = -2*o + 27*u + 11, -2*o + u - 1 = 0. List the prime factors of x(o).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*g = 10*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/8 of a meter in millimeters?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-267)\/178)\/((-9)\/(-40))*45\/12.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 2*y**4 + y**2 + y. Let q(g) = -75*g**6 + 12*g**4 - 112*g**2 + 6*g. Let f(t) = -6*o(t) + q(t). What is the third derivative of f(v) wrt v?\nAnswer: -9000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**2 + 2*s - 2*s)*(257 + 1062 - 278).\nAnswer: 1041*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + -3. Suppose 3*x - 5 = 7. Suppose -2*g - 2*n + 48 = p, -x*g + 57 + 27 = -2*n. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 125730368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 5*y - 2, 3*y + 3*p = 2*p - 2. Suppose x + y - 1 = 0. Let n(u) = 10*u**3 + 2*u**2 - 2*u + 1. Is n(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/(-4)*10 + 1. Suppose 0 = c - 1 + 12. Let g = c - x. Solve 0 = 2*v - a - 8, 3*v - g*a = -2*v + 19 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 + 3*p**2 + 4*p - 3. Suppose -3 = h - 5. Is d(h) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 1\/1262, 0.02, -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m**2 + m. Let s(d) = 13*d**2 + 195*d - 2. Let y(r) = s(r) + 4*z(r). What is the second derivative of y(x) wrt x?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10)\/65 - (-4)\/26. Suppose 0 = 5*w - t*w - 4*y - 16, 2*w - 4 = 4*y. Solve 1 = -c - l + 2, -w*c = 5*l - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -7. Let k(r) = -2*r**2 + 2*r - 2. Let h be k(5). Let m be (h\/15 + 2)*-5. Solve m = q*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bthuw. Give prob of sequence wt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 146 + -143. Solve -6 = -3*p - u*g, -57*g = -54*g - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -0.2  (b) 0.3  (c) -25  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -7636, -7638, -7638, -7636, -7632?\n\"Answer: g**2 - 5*g - 7632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -480*s - 1303*s - 27040 - 2715*s - 212*s**2 - 2*s**3 = 0.\nAnswer: -80, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, b: 1, t: 6, s: 3, d: 1, q: 1}. What is prob of sequence tsb?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7725700 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2 - 6*b + 20. Calculate the common denominator of -24\/5 and r(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 335985912697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*b**3 - 3*b + 3*b)*(2 + 1 + 0)*(6 + 3 - 5) to k*b + m*b**3 + d + o*b**2 and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 186080 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n = -5*z - 8, -46*n = -z - 47*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of -7\/2*h - 48 - 1\/4*h**2 + 7\/6*h**3 + 1\/8*h**4. Factor b(i).\nAnswer: (i - 1)*(i + 1)*(i + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 44, 88, 132?\n\"Answer: 44*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(6) - (-2*sqrt(54) + sqrt(6))) + sqrt(6) - sqrt(12)\/sqrt(2)*-3)\/(3*(sqrt(3)*-1 - sqrt(3))*-4).\nAnswer: 5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-1\/4)\/r)**(1\/98))**(4\/17) assuming r is positive.\nAnswer: r**(-5\/1666)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*h + 2*h - h + 0*h + 5*h - 3*h + h - h - 2*h + (0 - 1 + 3)*(0*h + 2*h + 0*h) + (-h - 4*h + 4*h)*(80 - 83 + 54) + h - h + 4*h.\nAnswer: -45*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -2*a + 5. Let u(v) = 2*v - 8. Let f(z) = 3*z - 9 + 9 - 12. Let q(b) = 5*f(b) - 8*u(b). Let d be q(3). Let s(r) = 1. Give d*y(c) - 6*s(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/(-2) - 1110\/148. Let p(h) = -5*h**2 - 34*h - 12. What is p(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1784*h**3 + 42717*h**2 + 119475495 wrt h.\nAnswer: -5352*h**2 + 85434*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 171 - 80. Let d(f) = f**3 - 8*f**2 - 3*f + 3. Let n be d(8). Let c = n + 34. Calculate the highest common divisor of b and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/18 and -11\/1658642.\nAnswer: 14927778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1470 + -1040. Let u = y + -430. What is the second biggest value in u, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.03986 + -2.03986. Let k be (-23)\/(-5) - 4\/(-10). Suppose -z + 4*z - 12 = 0. Which is the closest to 2?  (a) y  (b) z  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -78, -75, -72?\n\"Answer: 3*r - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5417\/2000 - 1\/6000. Find the common denominator of t and -121\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -1539*h + 8372. Give v(5).\nAnswer: 677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -2*b - 3. Let h = 34 - 39. Give i(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.2 - 0.8. Let h = -9.97 + 10.6. Let s = 2.37 + h. What is the nearest to v in -0.3, -3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 1229*h - 12. Let d(k) = -1994663*k + 19472. Calculate 3*d(f) + 4868*g(f).\nAnswer: -1217*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1.84026842 - -1.5\nAnswer: -0.34026842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35*m + 35*m + 2 - 12 + 6*m**2 to the form o*m**2 + s*m + q and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00002478985783 to 6 dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4950499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 6*x + 20 = 3*h, 0 = 4*h - 3*x - 36. Let l = h + -10. Solve 2*f = l*b + 2, -4*f = -3*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -77, 0.8, 0.3, 7460 in ascending order.\nAnswer: -77, 0.3, 0.4, 0.8, 7460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 49223*b**2*d**3*n + 2011*b**2*n**2 - b**2 + 2*b*d**3 - 4*d**3*n**2 - 2*d**3*n + 2*d**3 wrt n?\nAnswer: 4022*b**2 - 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 + 25 + 36*j**2 + 597*j**2 - 14.\nAnswer: 633*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3d61 + 44e?\nAnswer: -3912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 39713476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 626453006.\nAnswer: 2, 5857, 53479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/4*2 - 0. What is the third biggest value in j, 2\/9, -5, 4\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2 - 7*b + 8. Let y(q) = -6*q + 7. Give 2*r(w) - 3*y(w).\nAnswer: 2*w**2 + 4*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 595357962 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -104 - -153. What is the lowest common multiple of c and 11?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -28.7 - -30. Let g be (-150)\/(-175) - 32\/(-28). Which is the nearest to g?  (a) d  (b) 3  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pwf when three letters picked without replacement from wppfwlzwfp?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53 = -26*y - 27 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 14*b**2. Let z(f) = 3*f**2. Give v(z(j)).\nAnswer: 126*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -3*a - a - 5*a - 2 + 6*a. Let v(t) = t + 1. Suppose 0*q + 3*i = 2*q + 18, -3*q + 2*i = 17. Let w be -7*1 - (-2 + 3). Give q*z(r) + w*v(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.8 - 3.2. What is the nearest to i in -5, 3, 4, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.042 + -0.059. Let r = q - 5.783. Let m = r - -6.1. Which is the closest to 2\/3?  (a) 1  (b) 0.2  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 8*f. Sort -1\/2, -2.8, -2\/7, f in increasing order.\nAnswer: -2.8, -1\/2, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.984 + 0.016. Suppose 6 = 4*b + 18. What is the nearest to z in -0.2, -4, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 66851.9 * 5.5\nAnswer: 367685.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 29915 and 682.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-35)\/21*210\/(-200)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19412347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -61.97 - -65.4. Let d = i + -3.72. Which is smaller: 7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(1\/4)*b**(-6)*((b**(3\/4)\/b)\/b)\/((b**(-5\/6)\/b)\/b*b*b))**(6\/17))**(-49) assuming b is positive.\nAnswer: b**(1813\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)\/sqrt(8)*-1)**2*-6 - (sqrt(176)*1 + sqrt(539) + (sqrt(539) - sqrt(539)*-1)).\nAnswer: -25*sqrt(11) - 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 - -7. Suppose s = -2*j + 3*j - 5. Let z = -6 + 5. Put j, z, 3 in decreasing order.\nAnswer: j, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -4 - 4. Let o = -29.85 + 7.25. Let i = o - -21.6. Is i greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -113\/2889978 and -49\/12324.\nAnswer: 5779956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 623 and 1186.\nAnswer: 738878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2 + 10351236*f.\nAnswer: 2*f*(f + 5175618)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 PM and 11:27 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 276 or 238?\nAnswer: 276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -14*h. Let l(m) = 33*m - 203. Determine i(l(q)).\nAnswer: -462*q + 2842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(13) - -2*sqrt(143)\/sqrt(11)) + -5 - (sqrt(26)\/(sqrt(10)\/sqrt(5)) - (sqrt(13) + 2 + sqrt(117) + sqrt(117))))**2.\nAnswer: -54*sqrt(13) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -4*p - 4*j, -12 = -64*p + 60*p - j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is a08e (base 16) in base 5?\nAnswer: 2303402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1507?  (a) -27  (b) 3\/5  (c) 0.2  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 290531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand p**4 - 5*p**4 + 2*p**4 - 5*p + 5*p + 6*p**4 - p**4 + 3*p**4 - 3*p**4 + (2 + 0 - 1)*(p**4 - p**4 - p**4) - p**2 - 1777*p**3 + 1798*p**3 - p**4 - p**2.\nAnswer: p**4 + 21*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 625 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 15 = 4*v, 3*v + 84 = 3*r. Let z be 70\/(-20)*(-40)\/7. Let g = r - z. Calculate the remainder when g is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - 4*v + 451, v = 5*h - 9*h + 352. Is (h\/(-2))\/((-27)\/12 - -2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3052 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 - (-252)\/16) + 1\/4. Sort -1, k, 5, -5 in descending order.\nAnswer: k, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5927476*g**4 + 3*g**2 - 316421 wrt g?\nAnswer: -142259424*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/4438 and -26\/210805.\nAnswer: 421610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 85565457 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 563 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 2*y + y + 20 = 0, -n + 23 = 4*y. Let c be (0 - (n + -5)) + 10. Let q(i) = i**2 - 11*i + 7. Calculate the least common multiple of 4 and q(c).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(77))\/sqrt(11) + sqrt(7))*1)**2 + 2 + (-1 + sqrt(700))**2.\nAnswer: -20*sqrt(7) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 12 = -3*x. Suppose -3*o - 2*j + 6 = -4*o, -j + x = 5*o. Solve -3*i = i + y + 5, -5*i + 4*y - 22 = o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 - 2*l + (-l + 5*l - 2*l)*(-2 + 5 - 4) + 0*l + l + l + 0*l + 5*l - 4*l - 8*l - 9*l - 2*l + 0 + 2*l + 0 - 4*l - l + 2*l.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 59 = -1. Calculate the highest common factor of 75 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 15*x**2. Let m(q) = q. Let o(p) = -7*p. Suppose 0 = 3*f + 5*k - 26 - 2, -5*f = -2*k + 5. Let c(i) = f*o(i) + 4*m(i). Determine d(c(y)).\nAnswer: 135*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 7*x + 3. Let a(v) = -63306 - 31*v**2 + 63306 - 24*v**2. Calculate a(f(j)).\nAnswer: -2695*j**2 - 2310*j - 495","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 3*i = -45, 0 = -4*c - 4*i + 5 + 23. What is the tens digit of 15\/c*(-2)\/5*-38?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 729 and 28903329.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**2)**(-3)\/(p**(2\/11)*p*p*p\/(p\/p**(1\/5))))**(1\/9) assuming p is positive.\nAnswer: p**(-461\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 + 3484*j - 1392252. Determine z(362).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 4*b**3 + 3*b**2 - 5*b + 21. Is v(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -10*t + 15 - 2 - 15*t + 26*t. Let k be o(-11). Suppose 5*z - 6 = -k*a, 5*a - 8 - 7 = z. Let r(h) = -h**2 + 4*h + 4. Calculate r(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least 2887\/24539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -176, -436, -1140, -2510, -4768, -8136, -12836, -19090?\nAnswer: -27120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -21110 - -21109.9. What is the third smallest value in 6, -2, -288, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2 - 11*d - 13. Let p be y(-11). Let b be (-115)\/p + (-2)\/(-13). Solve -5*z = -6 - b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -451 divided by -41?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -6*r - 5. What is the common denominator of -9\/4 and 92\/32 - r\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 27 = 4*m, 0*v + 5*v = 2*m + 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*g**4 + 0*g**2 + 0*g**2 + (2*g**3 - 3*g + 3*g)*(2*g + 4*g - 4*g) + 12 + 4 - 204*g**4 - 16.\nAnswer: -198*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 + 1038\/18)*(-8 - 1). Let u = 63 + a. Let b be (-2)\/(-4)*(-2)\/(-3)*u. What is b rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 78*x**2 + 3\/2*x**4 + 84*x + 15*x**3.\nAnswer: 3*x*(x - 2)**2*(x + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22669496.\nAnswer: 2, 2833687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29 + 99 + 85*c - 12*c - 21*c.\nAnswer: 52*c + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*k + 16138*y - 16136*y - 24, 21 = -7*k + 5*y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.36 - -6.36. What is the second smallest value in 0, 0.08, -81, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*j - 8*j**2 - 1\/2*j**4 + 0 + 4*j**3.\nAnswer: -j**2*(j - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/5 and -10 + -67401*(-60)\/404532?\nAnswer: 56185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 909*u - 19915 - 13696 = -7902 + 12469 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(13) + -5)**2 + -1 + (5*(sqrt(208) + 0))**2.\nAnswer: 10*sqrt(13) + 5237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8 and -0.074?\nAnswer: -0.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 38641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -50 - -53. Let y(n) be the second derivative of -1\/6*n**q + 2*n - 1\/6*n**4 + 0 + 0*n**2. What is the second derivative of y(s) wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 14 - 2 - 5 + 15*f + f**2 - 3*f**3 - 6 as k*f**2 + v*f**3 + t*f + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2*a - 9. Let d be s(-7). Suppose 2 = d*t + 22, -4*o + t + 268 = 0. What is the highest common divisor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (12\/14)\/(10\/(-70)). Let n be ((-9)\/27)\/(1\/z). Let m(k) = 2*k - 3*k + 51 - 52 - k**3 + 2*k**2. Give m(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3383292 and 2272?\nAnswer: 27066336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-247)\/(-4))\/((-20)\/(-80))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2824356667.\nAnswer: 11, 251, 677, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 1:54 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + -0.9. Let o = 0.2 - l. Let x be 3*1 + (3 - -1) + -4. What is the smallest value in 1\/3, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, 6, 11, 16?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -343 - 2a0?\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = a + 5*q - 5, -4*q - 21 = -a. Calculate the lowest common multiple of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 106*j + 0*j**2 - j**2 - 90*j to r*j**2 + s + u*j and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 11\/5 of a centimeter?\nAnswer: 22000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 77, -2, 1, -10, -728 in increasing order.\nAnswer: -728, -10, -4, -2, 1, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 8 = -u, u + 2*u + 5*x = 3. Is 1265 + (6\/u)\/(6\/8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2454535 and 37935.\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-46*(-6 + 5))\/((-6)\/(-519)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -111412 - 3200?\nAnswer: -120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 1. Let v be (-4)\/22 - 598\/(-143). Let k(f) = -3*f + y*f - v*f + 6*f. Calculate k(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of r**3\/3 - 7*r**2\/2 + 8*r - 4. Suppose h + 0*h = 5*l - 48, -4*l = -3*h - 45. Does 9 divide t(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*v + 0*v - 26*v - 1 - 4*v + 3*v - 8*v + 4*v + 2*v - 5*v + (-5*v + 3*v + 4*v)*(1 - 2 - 1).\nAnswer: -33*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2 - s - 1. Let c be f(2). Let w = 5 - 3. Suppose -3*j - 4*r - 11 = 0, -2*r - 13 = 5*j + w*r. Which is greater: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2552 + 2552.02. Let v be 27\/(-12) - (2 - 5). What is the nearest to 1\/6 in v, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 425 and 1770.\nAnswer: 150450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-2\/23)*n**(-4\/11))\/(n**(-3))**(22\/9) assuming n is positive.\nAnswer: n**(6115\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 4 + 2 - 2*a.\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2402 or -684511\/285?\nAnswer: -2402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 206289486 divided by 487682?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 15920511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of (-4 - 83)\/(4\/5 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {m: 1, c: 2, i: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4.4 - -2.4. Let y = 1.5 + d. What is the biggest value in y, 2\/7, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 m when three letters picked without replacement from {b: 12, f: 4, h: 1, m: 2}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 0 - 11*a - 5 + a**2 + 15. Let o be f(10). Factor 1\/3*r**2 + o*r + 0 + 2\/3*r**3 - r**4.\nAnswer: -r**2*(r - 1)*(3*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -4701\/5 and -939 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 - ((-11)\/(-7) - 0). Let c be (-24)\/(-14) + 4\/14. Factor -8\/7*t**c - o*t**3 - 3\/7*t + 2\/7.\nAnswer: -(t + 1)*(t + 2)*(3*t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.932187 days to microseconds.\nAnswer: 339740956800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + -1 + 10 - 3. Suppose 5*r - d - 617 = 0, -2*d + 378 = y*r - 3*r. Is 31 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 2 = u. Let n(w) = -w - 14. Let i be n(-8). Is 2 a factor of (-16)\/i - u\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 3*b + 29. Let t = 98 + -90. Suppose 12*h + t = -136. Determine x(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40\/(-2)*(2644704\/15840 + -167).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 224063 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 - 14*o - 8. Let z be s(-14). Let h = -141 - -93. Let b = z - h. What is the remainder when b is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/6, -1\/2, 0.032, 9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1080519060 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 275, 279, 283?\n\"Answer: 4*f + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 4*w**2 + 44*w - 87. Calculate the remainder when 458 is divided by f(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 91 - 84. What is the tens digit of ((-154)\/4)\/n*-32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0718 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(560)*-5)\/(sqrt(7) + sqrt(63)*-1 + sqrt(7) - (sqrt(112) + sqrt(112)*-1)))**2.\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22, -68, -152, -280, -458?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 90186 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4, 0.3, 370, -3, 2\/5.\nAnswer: -3, -2, 0.3, 2\/5, 4, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*i - 0. Suppose 6 = -3*o + 3*v, 5 + i = -2*o - v. What are the prime factors of -1 - o - (0 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*z + 2*z + 246. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -2*z + 63, 3*z - 52 - 10 = 2*w. Suppose -9*a + z = -a. Solve 0 = 4*c - a - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 PM and 10:21 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 988 divided by -247?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 34 + -23. Let a(s) = -15 + 3 + 0*s**2 - s**2 + 3*s + q*s. Is a(9) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.40332 + 0.41. Round d to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 PM and 5:10 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -133, -148, -157, -160?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1200\/(-84) + 2 - (-2)\/7. Let m(j) = j**3 - 7*j**2 + 4*j + 8. Let t be m(6). Put 1, t, q in descending order.\nAnswer: 1, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1927404\/25 + -77094. Calculate the common denominator of 12*(32\/(-150))\/2 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 48 and 670062.\nAnswer: 5360496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 66836 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -43c03e - b?\nAnswer: -43c049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 137437 divided by 28\nAnswer: 137437\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -3*sqrt(171) + 4 + -2.\nAnswer: -9*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 494453 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((c - 1 + 1)*(-1 + 3 + 0) - 6*c + c + 4*c)*(2 + 11 - 4)*(98*c + 1263 - 1263).\nAnswer: 882*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from jfnfjwmnwfmwf.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -8*i + 4*i + 390, 0 = -2*i - 4*w + 192. Let a = i - 96. Solve 0 = -a*p + 2*p - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.01?  (a) -0.4  (b) -1\/5  (c) 5  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o**3 - 2*o + 7*o - 2 - 4*o)*(3 - 3 - 2*o)*(6*o - 2*o - 2*o).\nAnswer: -8*o**5 - 4*o**3 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 - 5. Let u(p) = -3 - p + r. Let a(g) be the third derivative of -g**5\/20 - 14*g**2. Calculate u(a(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0323852 and 0.05.\nAnswer: -0.00161926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**0*v)**(19\/5)*v\/(v\/(v\/(v**0\/v)))*v\/(v*v**(-3)) assuming v is positive.\nAnswer: v**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 57*n**6 - 5*n**5 + 16*n**3 - 23*n**2 - 603*n.\nAnswer: 6840*n**3 - 300*n**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -1470*l - 7368. Give a(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -5*s**2 - 1469993370*s - 108044025392197845 = 0.\nAnswer: -146999337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0098063 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sty when three letters picked without replacement from {y: 1, s: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 + 1. Let r be g(-2). Let c(z) = z**2 + 9*z + 4. Let k be c(-7). Let x = -5 - k. Solve -r*h = -4*t - 33, -4*h + 3*h = x*t + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156)*-5 + sqrt(156) + sqrt(156))\/(sqrt(3) + sqrt(30)\/sqrt(10)*-3).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1249603285\/1443 + -865976. What is the common denominator of u and -43\/312?\nAnswer: 11544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6949 = -777*i - 1510 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 328 and 120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -55230 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25)\/15*(3385\/(-175) + 19).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5+-2.7690576974\nAnswer: -2.2690576974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -125*v**2 + 333*v + 333. What is g(-1)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58110405 divided by -1.\nAnswer: -58110405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 149 + 19. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of 2*n - 6 + 1\/6*n**3 + 0*n**2. Let u(m) = -149*m. Calculate u(i(a)).\nAnswer: -149*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 4*z + 2*u, -2*z + 5*u - 2*u = 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 41274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -6 + 1 + 4 - 3 + 109*t. Is u(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccocococooofo. Give prob of sequence occf.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-19 + (-2080)\/(-96))\/((-6)\/(-63)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of -8*o**5\/5 - 2*o**2 - 32*o - 9. What is the derivative of z(g) wrt g?\nAnswer: -32*g**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 + q - 1. Let n(v) = 15*v**2 - 6*v - 13. Let m(l) = 6*d(l) + n(l). What is the derivative of m(u) wrt u?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j - 9. Let u be t(9). Suppose i - 150 = -i. Suppose -4*n + 9*n = i. Solve u = w + 2*w + n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -29661855*h**4 - 12650980*h?\nAnswer: -355942260*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1 + 0.1. Suppose 2*v = 5*q + 17, 3*q + 27 = v + 3*v. Let a = v + -9. Put a, -5, l in increasing order.\nAnswer: -5, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3081*n**2*u + 530*n*u wrt n?\nAnswer: -6162*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 15\/(-50)*(2 + (-4)\/3). What is the third smallest value in w, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -591 - -320. Let h = 274 + u. Sort h, 0, 157.\nAnswer: 0, h, 157","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 0.06, -2\/17, 3\/5, -5, 1, 484?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*p**4 - 3*p**2 - 22*p**3 - p**2 + 42*p**3 + 5*p - 15*p**3 to b*p + g + h*p**3 + n*p**4 + q*p**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -69 + 3*p - 374 - 2*p - 3*p - 190 - 882*p**4 wrt p.\nAnswer: -10584*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 2*c - 7. Let b be t(6). Let k = -1372 - -1603. Let z be 132\/k*(-7)\/(-2). Solve -2 = z*g - 4*x - 8, g = b*x + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2227773252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -110, 3, -0.02, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + -3 - 12\/1. Let v = x + 23. Calculate the remainder when 1 - (-3 - -2) - -26 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 1752 = 2*m, -2*m + 4*i = 5*i - 1753. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*t**3 + 7 - 7)*(3 + 2*t - 3) + (-3 + 1 + 1)*(-3*t**3 + 3*t**3 - t**4) + 55*t**4 - 22 + 15 - t + 3.\nAnswer: 40*t**4 - t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9942 and 2076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1076684179*j - 1015062076 wrt j?\nAnswer: -1076684179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 29, -4 in descending order.\nAnswer: 29, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-313 + 313 - 19*k**2)*(k - 2 + 2) + 18*k - 10*k - 7*k**3 - 10*k as w + y*k**2 + t*k**3 + u*k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 10. Solve -2*s + 8 = -p*i, i + 3*i - 4*s = -12 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*p**2*s**3 + p**2*s + 754*s**3 + 1251 wrt s.\nAnswer: 24*p**2*s + 4524*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -1 + 8 + (31 - 36)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/(735\/(-12)))\/((-4)\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 + 9*v**2 - 16*v + 12. Let w = -11966 - -11973. Give q(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -305343, -3, -9 in descending order.\nAnswer: -3, -9, -305343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33342.\nAnswer: 2, 3, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 54565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*j**2 - 12540*j - 509600.\nAnswer: 5*(j - 2548)*(j + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3649\/82*(((-11)\/22)\/(5\/20))\/1?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 265*d**2 - 17*d - 1. Is w(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hpp when three letters picked without replacement from hhpphhppphhhhhhh?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (5\/((-300)\/(-42)))\/(12\/288*42). Factor 2\/15*n + 2\/15*n**4 + s*n**2 + 0 + 2\/5*n**3.\nAnswer: 2*n*(n + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 4*z**4 - 2160*z**3 - 12*z**2 + 6472*z + 4320 = 0?\nAnswer: -1, 2, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -54 + 422?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 1534*w + 3069. Let f be i(-2). Factor -2\/3*b + 1\/3*b**2 - f.\nAnswer: (b - 3)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 5*w = 7, 7*v - 9*v - 7 = -w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -10 + 11 + -1 + -28 + 19\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4051*j - 23484 wrt j?\nAnswer: 4051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -153*g + 0 + 70*g + 0 + 84*g. Let d(b) = 9*b**2 - 26. Calculate d(w(t)).\nAnswer: 9*t**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjooojjjooojooooej. Give prob of picking 3 j and 1 e.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + o = -240, -478 = -4*h + 4*o - 3*o. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78 = 5*t + 18. Let i = -10 + t. Is 5 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -130 - -132. Suppose -n + 460 = -3*b, 17*b - 12*b = -f*n + 920. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -46820 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00030885653 to six dps.\nAnswer: -0.000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 28 = -5*d, 4*d + 22 = 4*q - 2*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -25 - 5. Suppose 4*z = -3*m + 60, 2*m = 2*z - 2*m - p. What is the second derivative of 3*o + z - 5*o**5 - 15 wrt o?\nAnswer: -100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q - 5. Let l be k(-5). What is the units digit of 2 + (-2 - -1 - l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -7*f**2 - 4*f**3 - f + 5*f**2 - 3*f + f - 2. Let m be a(-1). Suppose -3*d + m*c = -0*c - 39, -3*c = -2*d + 21. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -421 + z - 427 + 847. Give b(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22839650013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*o = 2*o + 40. Suppose 5*c + 24 = 10*c - 2*j, 3*c = o*j + 3. Solve a + 2*w - c = 0, 2*a + 8 = 3*a + 3*w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-4)*((y*y*y**(-4\/3))\/y)\/y)\/((y\/(y*y*y\/(y\/(y\/y**(-1\/3)))*y))\/y**(-2)) assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 1024000 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105423 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2462049797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 5 = -14*c + 11*c, -3*c + 5*c - 97*f + 102*f + 59 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5372007.498 rounded to the nearest ten thousand?\nAnswer: 5370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 250*k - 1025 + 513 + 224*k - 15*k + 513 to the form y*k + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, 18, -0.092, 2, -918 in descending order.\nAnswer: 18, 2, 1\/5, -0.092, -918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-9)\/w**17 assuming w is positive.\nAnswer: w**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a**3 - 4*a**2 + 4*a**2 + (-3*a + 3*a - 2*a**2)*(1 - 1 + a) - 2*a**3 + 2*a**3 - a**3 + 0*a**3 + 4*a**3 - 3*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(170)\/(sqrt(40)\/sqrt(4)*1)*-3.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lpjp when four letters picked without replacement from {l: 2, j: 3, t: 10, p: 5}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6805363?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -26*y - 19. Suppose 0 = 3*f - 2*f - 3. Calculate the least common multiple of f and m(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 157.4258 and 2?\nAnswer: 314.8516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 2*s + 14948 = 0, 22417 = 3*y + 4*s - 6*s. Round y to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m - 4. Suppose 3*n - 5*r - 9 = -7, 0 = 4*n - 2*r - 26. What is j(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (7 - -21)\/(6\/15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -2*q + 40. What is m(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-56)\/(-21)*2\/(-3)*(-36)\/16. Let z(j) be the second derivative of -9*j - 8\/15*j**3 + 19\/30*j**x - 1\/5*j**5 + 0 - 1\/5*j**2. Find o such that z(o) = 0.\nAnswer: -1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*w - g - 109, w + 58 = -g + 44 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -318259892 - -318259893.35999313. Let v = l + -1.36. What is v rounded to 7 decimal places?\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -6*k**3 + 80*k**2 + 95*k + 1. What is x(14)?\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31245?\nAnswer: 3, 5, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 2*i - 105, -2*i + 5*t + 15 = -i. Suppose 5*u + 15 = -5*l + 115, -2*u - 3*l + i = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-1109508)\/(-78))\/(32\/1040) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -118864+-0.5\nAnswer: -118864.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of -1\/16*q**4 - 6 - 15\/8*q**2 - 9\/4*q - 7\/12*q**3. Factor c(p).\nAnswer: -(p + 1)*(p + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 8*y - 91. Let u be f(12). Let z be 144 - 20\/u - -3. Calculate the greatest common factor of 55 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -35595*r**4 + 32959*r**2 wrt r.\nAnswer: -854280*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8599934766?\nAnswer: 2, 3, 457, 3136373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 1685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 - 100110011010001111101?\nAnswer: -100110011010010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -8, 0, -5, 2, 481.\nAnswer: -8, -5, 0, 2, 4, 481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.99 - 0.01. Let q(r) = -2*r**2 - 12*r + 10. Let x be q(-7). Let s = 4 - 4. What is the biggest value in x, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1732, -2413, -2996, -3481, -3868, -4157, -4348?\nAnswer: -4441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3102 (base 8) in base 13?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 48221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 PM and 3:18 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 594 and 8\/14 + 5432\/98 + -23.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 105 and 807765?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14 - a**2 + 0*a**4 - 13 - 2*a**4 to the form g + b*a**3 + q*a**2 + n*a**4 + d*a and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 2*p - 34. Let q be 2 + p\/2 - 3. Suppose -4*m + q = 5*h - 25, -2*m + 28 = 5*h. Solve -2*a + 19 = 2*a + 5*d, -h*d + 15 = 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 4*m**3 - 5*m**2 - 2*m + 3. Let o be (-8)\/3*(-126)\/24. Let b(t) = 11*t - 6 - 9*t + 4*t - 11*t**3 + o*t**2 - 2. Determine -3*b(h) - 8*i(h).\nAnswer: h**3 - 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - 1 - (-2 + -2) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 10935120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9018 - 9032. Sort -26, 0, t in increasing order.\nAnswer: -26, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1701182, 1701131, 1701080, 1701029, 1700978, 1700927?\n\"Answer: -51*k + 1701233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 7:09 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x. Let p(v) = -98*v**2 - 13382*v. Give j(p(c)).\nAnswer: -98*c**2 - 13382*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**3 - 40*t**2 - 79*t - 161. What is w(-38)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3425709 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((2 + sqrt(200))**2 + sqrt(18)\/sqrt(441)).\nAnswer: -408 - 562*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17?  (a) -4\/5  (b) 1\/2  (c) -1\/3  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*a**5 - 12*a**4 + 1192*a**3 - 6792*a**2 - 1188*a + 6804 = 0. What is a?\nAnswer: -21, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*n, -5*k = -3*k - 3*n. Find the second derivative of 0 + 0 + k*p - 2*p**2 wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -3*t - 1. Let o(y) = -373*y - 6. Calculate -o(d) + 4*v(d).\nAnswer: 361*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 813929 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 874 = -107563*t + 107540*t for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5872 + 5871.6. Is 0.191 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -51 - 8 - (61 + -188)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of 6 + d + 1\/12*d**3 + 1\/2*d**2. Suppose j(c) = 0. What is c?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/1055 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 2*v = 584, -6*g + 1174 = -2*g + v. Is g a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 59, 76, 103, 146, 211, 304, 431, 598?\n\"Answer: o**3 - o**2 + 13*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-196)\/3087*56\/16.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fwfffwf. Give prob of picking 2 f.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 - 35*d + 104. Let k be q(32). Determine r, given that -k*r**2 - 2*r + 0 - 7\/2*r**3 = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.29 - 0.4. Let p = i - 0.19. Put 0.3, 0.5, p in increasing order.\nAnswer: p, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 117*v - 117*v + 10*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3\/4 - 41\/60. Let l(y) be the first derivative of -q*y**3 + 3\/10*y**2 - 2 - 2\/5*y. Let l(g) = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*h - 3*h + 4*h)*(0 - 6 - 5) to the form u + l*h and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 + 42*r**2 + 396*r - 479. Let u be l(-18). Factor u + 26\/3*c + 1\/9*c**2.\nAnswer: (c + 39)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 5*o = -672, -25*o + 24*o + 2821 = 4*m. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -1 + 1 - 3*x. Let f(a) be the second derivative of 0 - a + 5\/6*a**3 + 0*a**2. Give j(f(b)).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/2 - 21\/6. Let v(c) be the first derivative of -c**4\/4 - c**3 - 2*c**2 - 2*c + 1. Calculate v(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of h**3\/12 - 49*h**2\/2 - 197*h\/4 + 551. Find o such that l(o) = 0.\nAnswer: -1, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6100437.334 rounded to the nearest one hundred thousand?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.06?  (a) -0.4  (b) -0.27  (c) -74.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13662 and 297?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -6*y. Let h(d) = -130*d**2. Determine h(i(m)).\nAnswer: -4680*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2926022450?\nAnswer: 2, 5, 13, 4501573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*c - 1 + 4 - 2)*(-34 - 13 + 14)*(-15*c + 25*c - 31*c).\nAnswer: 3465*c**2 + 693*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -333 (base 7) in base 16?\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 - 1. Calculate the remainder when 10 is divided by v(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 AM and 4:14 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 84 + 6cc2?\nAnswer: 7076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2054*v + 2059*v + 24 = -2*q, 0 = 4*v - 5*v + 4*q + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 4*u - 14. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4304115 (base 6) in base 11?\nAnswer: -134474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/8 or 1680\/5539?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 5*y - 59 = 0, l + 36 = 2*l + 3*y. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w. Let v be g(-2). Suppose 0 = -v*s - 4 + 22. What is the lowest common multiple of 10 and s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.8 + 0.7. Let a = -7 + 4. Sort a, u, -1 in ascending order.\nAnswer: a, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11070 + -21*(-12)\/84 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 4:18 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(3))*-2*6.\nAnswer: -36 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13.513 - -10.513. Let q = 1.1 - 1. What is the closest to c in 2\/5, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2 - -13) + -4)*(-5050)\/3535.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2  (b) 214081  (c) -4\/9  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*p*p*(p**(-8)\/p)\/p*p*(p\/p**(4\/5))\/p assuming p is positive.\nAnswer: p**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 994*p**3 - 4019*p**3 + 1006*p**3 + 1002*p**3 + 1020*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the third derivative of 5*b**4\/24 + b**3\/3 - b**2 - 26. Give u(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 4*j + 9. Let o be y(-5). Let w be (9 + o)*6\/4. List the prime factors of ((-1)\/w)\/((-3)\/(-27)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-5)\/(20\/21)*(-112)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1702129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -306 + 2756. Let f be (j\/125)\/((-1)\/(-5)). What is the greatest common divisor of f and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (((-10)\/25)\/1)\/(1\/(-10)). Solve 5*a + 12 - 3 = -2*o, 0 = a + i*o + 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/9*(-162 + (44 - (-29 - -37)))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1512 divide 308563267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 1044 = -3*z + 282, -2*a = -z - 526. Is a a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 43, 1 in increasing order.\nAnswer: -1, 1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 57, 140, 279, 474, 725, 1032?\n\"Answer: 28*s**2 - s + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 3*v + 7*v + 17 - 9*v. Calculate t(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 1888*b**2. Let k(m) = -91*m. What is l(k(h))?\nAnswer: 15634528*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -9 * -0.784\nAnswer: 7.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 4, j: 1, b: 6}. What is prob of picking 1 m and 2 b?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-23)*u)\/(u\/u**(-5))*u**(-1\/10)*u**(5\/6))**(-2\/117) assuming u is positive.\nAnswer: u**(788\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 - 4*p**2 + 3*p + 2. Let n(i) = i - 1. Let v(a) = g(a) - 2*n(a). Calculate v(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5627551 - 3?\nAnswer: -5627554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 10760788559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(10\/56)*(-2)\/(32\/40).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**1*k)**(-1\/43))**(-35)\/(((k*k*k*(k**1*k)\/k)\/k)**(9\/2)\/(k\/(k*k**0))**(-18\/7)) assuming k is positive.\nAnswer: k**(-1021\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -158, -276, -394, -512, -630?\n\"Answer: -118*l - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 208269716 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 6. Suppose -2*g + 5*q - 12 = 2*g, -g - 6 = -h*q. 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 closest to -1 in -5, 2, 55\/3, 1\/3, 10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + z = -4*z - 3, 2*z = -6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1566360 divided by 17404?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 15153 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*y + 3. Suppose -y*u + 57 = -5*t, 0*u = u + 2*t - 11. Let o(x) = -11 + x + 42 - 14 - u. Calculate o(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -100219, -400906, -902053, -1603660?\nAnswer: -2505727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -232.95 - -227. Let o = 0.05 - l. Let k = -20483\/15360 - -1\/5120. Sort 2\/7, k, o.\nAnswer: k, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 + 5*a**2 - 9*a - 15. Let l be c(-6). Solve 5*q + 6 = -d, -d = 5*q - l*d + 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -1, -333, 3, -4, -17 in decreasing order.\nAnswer: 11, 3, -1, -4, -17, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -33 + 44. Let w(i) = -23*i - 3. Let z(d) = 8*d + 1. What is h*z(s) + 4*w(s)?\nAnswer: -4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -94 + (-56 - -10) - -23.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2\/36305 - 3049574\/835015. Which is smaller: z or -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 8 - 5 - 1 + 1 - l. Let g(r) = 1. Let p(b) = -9*g(b) + 4*q(b). Differentiate p(d) with respect to d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, -1\/4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 6*(-4*-5*(sqrt(70) + -4*sqrt(70)))\/((sqrt(180)\/sqrt(3))\/sqrt(6)*3).\nAnswer: -120*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.2 in -2, 5, -2\/11, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-16 + 2 - 35)*(-4*f - 2*f + 5*f)*(f - 3*f + 3*f) to i*f + p + u*f**2 and give u.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*p**4 + 20*p**4 - 21*p**4 + (0 + p**2 + 0)*(-3 + 3 + p**2))*(p + 1 - 1).\nAnswer: 12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 + 14. Let b = -8\/3 + 3. Put -0.4, b, z in decreasing order.\nAnswer: z, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.03 <= -15228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 13*c - 189. Let m be a(9). Let n = m + 169. Does 25 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 11 = q. Let v = -114 + 126. Suppose -v = -4*a, -m - 4*a + 73 - q = 0. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dpddzdnudznzdd. What is prob of picking 2 d?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t - 8. Suppose -s = -n + 6*n - 153, -5*n - 5*s + 165 = 0. Calculate the remainder when n is divided by m(-24).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7730147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -14 at least -45747\/2962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 777, 760, 725, 666, 577?\n\"Answer: -s**3 - 3*s**2 - s + 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 19925 and 7975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(2057) + -2 + (-2*sqrt(272))**2 + sqrt(272) + sqrt(17).\nAnswer: 16*sqrt(17) + 1091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 946\/13 + -8488\/117. Sort -28.4, n, -3\/5 in increasing order.\nAnswer: -28.4, -3\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1 + (-2 - 1 + 2)*(-4 + 7 - 1) - 1 - 1 + 0 + (3 - 2 - 3)*(-1 - 2 + 2) - 41 + 80 - 35)*(-y + 4*y - 2*y)*(-30*y - 3*y**2 + 30*y).\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * 6401.\nAnswer: -2560.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) -11\/5  (c) -0.1  (d) -2  (e) 4\/7  (f) 507\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t**5 - 2*t**5 + 2*t**5)*(16 + 7 + 39) - 1 - 2*t**5 + 1.\nAnswer: 60*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3037*k + 16795 + 5398 = 7008 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5190.2753 rounded to 0 decimal places?\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.2, 1\/1157, -20, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7 + (80\/8 - -257).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1, 0, -2, -452?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/1116 and 54\/7.\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (130 - 124) + (1 - (2 + -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 + 16. Let u = m + -7. Solve -5 = 5*w - u*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.5 + 1927018.488039?\nAnswer: 1927035.988039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**0\/x)**(1\/32)*x\/x**3*x**(-1\/12) assuming x is positive.\nAnswer: x**(-203\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 423 - 420 = 0. Solve 5*g + 3*o = -12, -a*o + 25 = -3*g + 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.394 - -0.006. Which is the closest to -1\/3?  (a) -1\/10  (b) 0.2  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3172 + 3244 + -2 + 30?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*-6*((1*sqrt(704)*6)**2*3*-5 + 3).\nAnswer: 6842826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 19.964112 milliseconds?\nAnswer: 0.0003327352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62 = 2*b - 4041*p + 4039*p, -63*b - 5*p = 87 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-60)\/(-15))\/(1*-7).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -12, -2*a + 2 = -0*k - 2*k. Calculate the common denominator of 83\/2 and k - 3\/20 - 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-44)\/(-10) + -4 + 69296\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 7916439, 31665742, 71247909, 126662934, 197910811, 284991534, 387905097?\n\"Answer: -m**3 + 7916438*m**2 - 4*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.19  (b) 0.4  (c) 0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -760\/129?\nAnswer: -760\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 6:40 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 171 at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*q**3 - 830*q + 830*q.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -26 + 27. Suppose -5*z + w = 12, -3*z = w + 5 - s. Let r be 3\/(-6)*(0 + z). Solve 4*l - 5 = -r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8\/579 + 12899\/2316. Let h be 5*2\/25 + (-536)\/(-4). Let c = -643\/5 + h. Find the common denominator of c and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5369, -21467, -48297, -85859, -134153, -193179, -262937?\nAnswer: -343427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 5*n + 6, -3 = 3*g - 4*g + n. Suppose -v = -4 - g. Let p be 1\/(-2) + (-2)\/(-4). Solve -2*k - v*j + p = -3, 4 = -k + 3*j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 4*c, -5*y - 27 = c - 25 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(55)\/sqrt(176) + 4 + sqrt(40)\/(-1*sqrt(8)) + -3.\nAnswer: -2*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 284 = 3*z - 132, 3*h + 4*z = -238. Is -564\/7 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/3080 and -123\/770.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 245996603?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.22 + -0.18. Which is the second smallest value?  (a) 0  (b) 4\/5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**4 + 270*f**3 - 20*f**2 - 1080*f.\nAnswer: 5*f*(f - 2)*(f + 2)*(f + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 14803 - -5?\nAnswer: 14808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 228 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/2  (b) 0.3  (c) -0.069  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -53, -0.1864, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:51 AM and 3:14 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-24)\/10)\/(154\/1430*-13))\/(6\/147).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 3*t - 187, -t + 2 = 4*l - 55. What is the remainder when t is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.1, -2\/3, 2\/917, 1\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 - 16. Suppose -4 = -z - z. Let l be z\/3 + (-1)\/2. What is the biggest value in t, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81380346 divided by 303?\nAnswer: 268582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 321743857 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.13 - 0.95. Let b = j - -0.782. Let f = -0.268 - b. Round f to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 2*h - 11 + 37, -5*h - 9 = -4*m. Sort -6, m, -3.\nAnswer: -6, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 9003*s - 5096. Let l(p) = -18041*p + 10191. Let m(a) = -6*l(a) - 13*w(a). What is the first derivative of m(t) wrt t?\nAnswer: -8793","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32190 and 405705.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 510824, 1021604, 1532398, 2043212, 2554052, 3064924, 3575834?\n\"Answer: n**3 + n**2 + 510770*n + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 46224, 46170, 46116, 46062, 46008?\n\"Answer: -54*v + 46278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -2. Let h = n - -4. Let l = 689\/10 + -137\/2. Which is the nearest to 1?  (a) -3  (b) h  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*t**2 + t**2 + t**2 + (4*t + 0*t + 2*t)*(4*t + 3*t - 5*t).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1462526123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*w = 28*w + 8. Let d be (-24)\/9 - 2\/(-3). Let x be (-1999)\/w + (-1)\/d. Round x to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1)\/(-2))\/((-2)\/16). Let y be ((-18)\/(-96))\/((-6)\/f). Which is the nearest to -1?  (a) 3  (b) y  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68172*i + 68172*i + 4*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o - 1. Let t(j) = -3*j + 6*j - 5*j + 1. Give 3*t(k) + 5*x(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 1 + -4 - (-17 + 24)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 - 27 = 7*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n - 15. Let a = -56 - -44. Determine f(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.0914 and 4335.\nAnswer: 4334.9086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/360 and -17\/88.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -32 + 2. Let j be 2 + (-1 - 2) + 38. Let w = j - t. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13\/553, 0.5, 5, -0.2, 1, -1.58 in increasing order.\nAnswer: -1.58, -0.2, 13\/553, 0.5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 5*q - 8. Let f(v) = -1388*v. What is n(f(x))?\nAnswer: -6940*x - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -952766772*n**2 - 5854*n - 95060 wrt n?\nAnswer: -1905533544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30566622 by 6.\nAnswer: -5094437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2 + sqrt(2736)*-2*3)*1 - (-1*sqrt(2736) + -5 + -3*sqrt(2736)*2 + -2)) + -1)**2.\nAnswer: 96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 200623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 765080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 4*u - 10. Let f be n(3). Suppose -4*t = -14 - f. Suppose 3*z + z - t*d = 180, 4*d - 170 = -3*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence looo when four letters picked without replacement from glllgllllo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -851 plus -143.22?\nAnswer: -994.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 + 13. List the prime factors of y - ((-2 - -1) + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -13.3  (b) 5\/4  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4.74 and 0.11136.\nAnswer: 0.5278464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*1*sqrt(3) - (sqrt(12)\/(sqrt(4) + (sqrt(4) - sqrt(36)) + sqrt(4) + sqrt(4)))**2)*-5.\nAnswer: -15*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 56\/196 + (-18)\/14 + -2. Sort 5, l, 1 in ascending order.\nAnswer: l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -26 - -36. Suppose 5*h + 2*i - 20 = 0, 1 - 9 = -2*h + 3*i. What is the remainder when m is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -9654000 to the nearest one hundred thousand.\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 20*m**2 - 4*m + 7. Let b be o(3). Let t be b\/(-55) - (-4 + 0). Which is greater: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**2 - 50*b - 336. Let f be d(-42). Suppose 7 = 5*g + u, 2*g - 4*g - 2*u = -6. Sort g, -3, f, -10 in decreasing order.\nAnswer: g, f, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 128410 and 5213446.\nAnswer: 26067230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 436 a factor of 2486828896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6.93 + -0.07. Let p be 0\/((-84)\/(-35)*30\/12). Which is the nearest to i?  (a) p  (b) 1\/5  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.327 times -0.2\nAnswer: 0.0654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.79 and -0.046.\nAnswer: 0.03634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 171182 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-114)\/(-22) - (-350)\/(-70). Let i = -1 + -5. Let q = i + 11. Sort q, -1.1, t in descending order.\nAnswer: q, t, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 9 + -8 - 21\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -4*z**2 - 30*z - 10. Let y be j(-7). Let t be ((-25)\/(-3) - 7)*18\/y. Let s(g) = -g**3 + 7*g**2 - 5*g - 4. Give s(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.9 + 2. Let z = j - 0.04. What is z rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the first derivative of -v**4\/4 + 7*v**3\/3 + 3*v**2\/2 + 8*v + 1. Let c be f(6). Let b = 12 - c. What is b rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5304243 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-110)\/88)\/((-310)\/16)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44738, -89475, -134212, -178949?\nAnswer: -223686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 24 - 19. Suppose 4*h - 30 = 5*k - 2*k, g*k = 5*h - 40. Let l(a) = -2*a - 8. Give l(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1747 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32\/(-96)*(9\/33*3)\/1.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 AM and 6:27 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -13, -23, -33, -43?\n\"Answer: -10*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0*-0.09\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*w**2 + 2 - 2)*(-2*w + w - w) - 5*w**2 + 5*w**2 - 2*w**3 - 2*w**3 + 2*w**2 - 11 + w**2 + 14 to the form c*w**3 + b*w + p*w**2 + r and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 865727?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -220*v = -213*v - 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from ffwfwwwffm.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 64 + -319\/5. Let p be (-2 - 35\/(-25))\/(-1). Factor p*t + n*t**2 + 2\/5.\nAnswer: (t + 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002027 rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -140747 - -4456?\nAnswer: -134271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-24 - (-3502)\/136) + 2\/8. Let r(m) = -3*m**2 - 2. Let f be 0 + 1 - -23 - -1. Let x(w) = 35*w**2 + 25. Calculate f*r(b) + q*x(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 5*y + 43, -y - 5*i - 31 = 2*y. Let p be 1538\/y - 12\/42. Is 14 a factor of p\/(1 - 5) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, -3, -1\/3, -125 in decreasing order.\nAnswer: -1\/3, -2\/3, -3, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7, -40, -169, -454, -955, -1732?\nAnswer: -2845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 3*j - 2*j + j - 12. Let r(s) = 1. Let y be 1\/3 + (-175)\/(-15). Give y*r(i) + l(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -21 + 17. Let d = -164 + 168.064. Let h = n + d. What is h rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -0*o - 2*q - 67, 0 = o - 5*q - 31. Let h(r) = 11*r - 23*r + 11*r. Let v(n) = -6*n. Calculate o*h(a) - 3*v(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -4*h + 134971 + 1416781, q + 5 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a week in minutes?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12930 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 23*h**3*n + 3*h**3 + 3*h**2*n + 3138*h**2 - 2*h - 121859*n - 15 wrt n?\nAnswer: 23*h**3 + 3*h**2 - 121859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1\/((-3)\/10))\/(4\/180). Let t = 286 + c. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g**(-7)*g*g*g**(-1\/27) assuming g is positive.\nAnswer: g**(-109\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-17)\/t*t)**(-1\/13)*((t*t\/(t\/(t\/t**1)))\/t*t)**49 assuming t is positive.\nAnswer: t**(654\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -6*w**3 + 119*w**2 + 366*w + 164. Let q(z) = -2*z**3 + 38*z**2 + 122*z + 54. Let t(g) = 4*d(g) - 11*q(g). Determine y so that t(y) = 0.\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4646 and 1807938.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 48723943?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -26406, -52690, -78974, -105258?\n\"Answer: -26284*b - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 - 6*b**2 + 5*b + 4. Suppose 1888*u - 294 = 1930*u. Give f(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*u + 10 = 5*n - 7*u, 3*u + 1 = -2*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 6684*i - 3345*i - 3337*i + 18 + 40 in the form g*i + m and give m.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -208, -209, -210?\n\"Answer: -m - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(((-1)\/14)\/((-14)\/(-49)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2505.491 and 0.5.\nAnswer: -1252.7455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 291.469 from -256.216.\nAnswer: -547.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 68 = -4*p, 0 = -5*v - 4*p + 186 - 30. Let u = v - 22. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:01 AM and 8:11 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of u**3*y - 4*u**3 + u**2 + 959*u*y**3 + 77*u*y**2 - 1194*u - 6 wrt y.\nAnswer: u**3 + 2877*u*y**2 + 154*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 161 + 1 - (3 - 1). Suppose -3*m = m - o. Suppose -6*h + h = -m. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3*37*(20 - 21). Calculate the greatest common divisor of n and 4773.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -224*p + 138 = -314 - 220. Let n(u) be the first derivative of 0*u + 2\/7*u**4 + 8\/21*u**p + 2 + 2\/21*u**6 - 2\/5*u**5 + 0*u**2. Factor n(t).\nAnswer: 2*t**2*(t - 2)**2*(2*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 622327 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, f: 5}. Give prob of sequence ff.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/4 - 647\/(-2). Let t = 510 - 515. What is the remainder when 51 is divided by (t + 0)*q\/(-90)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 808*d + 16735 - 12156 = -14005 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, i: 2, z: 1}. What is prob of picking 2 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 AM and 12:52 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -20*m**3 - 8336432*m**2 - 868699563844*m + 347481159368 = 0.\nAnswer: -208411, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - n = -6. Let d(c) = -n*c - 4*c + 8*c. Let h(a) = -7*a. Calculate d(h(w)).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/((g*g\/(g\/g**(-12)))\/g)*g*g**(4\/5)*g assuming g is positive.\nAnswer: g**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1072112460.\nAnswer: 2, 3, 5, 17868541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 861 a factor of 2531340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 414034, 828021, 1241992, 1655941, 2069862, 2483749, 2897596?\nAnswer: 3311397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Calculate the remainder when 11727 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -107\/370 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -64 divided by 64\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*3*2*sqrt(91))\/((-4*sqrt(112) - sqrt(112))*-2).\nAnswer: -3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 2*j - 5 - 11, -2*j = -4*v. Suppose v*z = 4*z - 504. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/7545 and -87\/50.\nAnswer: 75450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c - 3*c - 2*c**3)*(5 - 24*c + 27*c - 2).\nAnswer: -6*c**4 - 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 74*j**2 - j**3 - 8 - 232*j**2 + 75*j**2 - 3 - 28*j + 73*j**2. Give m(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 28*s - 6. Let w(z) = -2*z - 16. Let v be w(-12). Let h be q(v). Let u = -140 + h. What is the highest common factor of u and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.8 + -0.800005. Round o to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 - 29*q + 9. Let x be f(-29). Let v = 8 - x. Do 0 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - 11) + 12 - -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of 115*m**2\/2 - 148*m + 68. Does 8 divide u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -303057, 3, 0 in descending order.\nAnswer: 3, 0, -303057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 - 4*a**2 - 13*a + 8. Let h be g(6). Let p be 18 + -22 + ((-2376)\/h - -2). Round p to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from {r: 3, c: 15}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**3\/23 - 14*b**2 - 12000*b\/23 - 130176\/23.\nAnswer: -2*(b + 24)**2*(b + 113)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, h: 5, j: 7}. What is prob of picking 1 j, 1 g, and 1 h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/5310624 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -28, 2, 6, -3755, -3 in ascending order.\nAnswer: -3755, -28, -3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes after 9:46 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -3888870*c + 170. Let g(w) = -w**3 + 25*w**2 - 23*w - 33. Let b be g(24). Let r be f(b). Round r to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66\/(-77)*28\/(-32)*2*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -4*m**2 + 3*m. Let s = 12 + -7. Suppose s*g + 4*c = -0*g - 13, -2*g = -5*c - 8. Let f(v) = -v**2 + v. Determine g*w(j) + 3*f(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -110212 - 1320123?\nAnswer: -2031001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s + 1. Let t(r) = 4*r - 5. Let z be (-1 + (-22)\/(-2))\/(-1). Calculate z*f(m) - 2*t(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from doddddoooooodd?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from zzzzmczomozohzoz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h**2\/4 + 18509*h\/4 + 18511\/2 = 0. What is h?\nAnswer: -2, 18511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + 1110011?\nAnswer: 1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - ((1 + 2 - 0) + -1)) + 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/1365 and -61\/86541?\nAnswer: 432705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -190 - -187. Calculate the remainder when n\/2 - 14\/(56\/(-138)) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3  (b) 5  (c) -9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 7*p**3 - 7*p**2. Let o(b) = -b**3 + b**2 - b**2 + b**2. Let m be 8\/(-10) + 4\/(-20). Calculate m*t(j) - 6*o(j).\nAnswer: -j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gfppgapgnfgr. Give prob of sequence nr.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.1  (b) -6\/649  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of -5*v**4\/4 + 35*v**3\/3 + 7. What is the third derivative of n(h) wrt h?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -135 = 5*l + 5*w, 1169*w - 2355*w = -1178*w + 16 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:14 AM and 9:17 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 5*q = i + 23, -3*q - 11 = -4*i. Let g be i*3 - ((-60)\/6 - 0). Suppose g*r + 74 = 578. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z**5 + 444996*z**4 + 16468365*z**3 + 88130046*z**2 + 169139916*z + 110386536 = 0.\nAnswer: -31, -2, 148369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 20635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-4 - (-9 + -11 - -6))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 855324 is divided by 9719.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4 + 11)*(0*z - z - z)*(-25 + 4 - 20).\nAnswer: 1476*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the first derivative of 2*m + 2 + m**2 + 1\/3*m**3. Let f be 29\/(-9) + (-2)\/(-9). What is a(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42510 is divided by 616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1514632786799*w + 1514632786799*w - 2*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2506.\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 4\/7, 2\/11, 2, -0.1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4076 a factor of 368176928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 + -17. Let c(i) = -3*i**2 + 5*i. Let s(r) = 4*r**2 - 7*r. Let b(x) = j*s(x) - 7*c(x). Let n(p) = 5*p**2. What is n(b(l))?\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1695 + 8382. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 208957901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -19  (b) 7  (c) 33  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -63 - (1 + 10 - (21 + -25 + 21)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*x - 4 - 259*x + 5*x + 220*x + 18*x + 4.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -828269*-0.032.\nAnswer: 26504.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 206570681?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of h**4\/6 - 7*h**3\/3 + 5*h**2 - 9*h. Is 10 a factor of g(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of f**2\/2 - f + 1. Suppose 16*s + 44 + 42 = 22. Determine c(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from emmmemmzemeeeeemmeme. Give prob of picking 1 z and 1 m.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 814689.8 litres to millilitres.\nAnswer: 814689800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1779 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10.2 - -260.32. What is m rounded to zero dps?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 52 + 37. Suppose m*n - 5 = 5. Solve -u - s = -2*s - 3, n*u = -4*s - 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -0.5.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1188 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of -3*t**4\/4 + 10*t**3 - 48*t**2 + 96*t - 33. Factor k(r).\nAnswer: -3*(r - 4)**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 875720271?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5970.11 - 6341.3. What is n rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -5, 321, 2, -40, 4 in ascending order.\nAnswer: -40, -5, -3, 2, 4, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 33738120 by -12636.\nAnswer: -2670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -3*n**2 + 56*n - 19. Let q be a(18). What is the highest common divisor of q and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -2*p + 35, -2*h + 4*p + 132 = 22. Let m be 18\/h + 4\/(-10). Solve -4 = 4*s - m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 0*c - 138 = -c, -4*c - 123 = -s. What are the prime factors of (-2)\/(6\/s*-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 5\/6*p**3 + 33\/2*p + 1\/6*p**4 - 19\/2*p**2 + 0 = 0.\nAnswer: -11, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 244351 divided by -244351.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add together 350989275030 and 2.\nAnswer: 350989275032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1674792?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 58\/45 and ((-196)\/(-16))\/(4 + -2 + -5).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 154\/30 - (-66)\/(-495). Suppose 0 = -y*r - 1 + 181. Calculate the smallest common multiple of 4 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of j**7\/1470 - 3*j**6\/140 - 2*j**5\/35 + 7*j**4\/12 - 19*j**3\/14 - 35*j**2 + 3. Factor r(t).\nAnswer: (t - 19)*(t - 1)**2*(t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert d871 (base 16) to base 4.\nAnswer: 31201301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 766165454 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rhhdg. What is prob of picking 1 g and 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/9)\/(16\/(-24))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes after 7:08 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 - -1)\/((-1)\/(-1)). Suppose r = n - 6 + 1. Suppose -2*v = -3*v - 2*j - 8, 4*v - 33 = n*j. Solve -v*p - 14 = 3*a - a, 0 = 5*a - 5*p - 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 99990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 1 = 3*r, 833*j - 832*j = 3*r + 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 5 + (0 + 2 - 4)*(2 + 3 - 3) - 6 + 0 + 3)*(p + 0 + 0).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 18632 * 0.4\nAnswer: 7452.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/28 and -47\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/5  (b) 57815  (c) 18  (d) 5  (e) 0.5  (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -11*n - 196. Determine z(-43).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1241809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5*21\/70)\/((-243)\/4050).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -1 + -2 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 86a549 (base 11) to base 2\nAnswer: 101010011011010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 4, n: 4, u: 1, l: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {r: 5, y: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 + 9*i**2 + 15*i - 10. Let x(o) = -o**2 + o + 1. Let c(a) = -r(a) + 2*x(a). Let z be c(12). Solve 3*n + z*g + 5*g + 3 = 0, -5*g = n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3321528 + 996459307\/300. Let s = h + 212\/75. Find the common denominator of 21\/20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m**4*m)\/m*m*m*m**(-2\/21)*m)\/(m**3*m*m\/(m\/m**7)))\/((m*m*m*m\/m**(-5)*m*m)\/m*m*m**0)**0 assuming m is positive.\nAnswer: m**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -119 or -359\/3?\nAnswer: -359\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67*i - 58*i - 89*i - 132*i.\nAnswer: -212*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 8, x: 3}. Give prob of sequence exee.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from ddiddddid.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3500051 (base 6) in base 4?\nAnswer: 223222333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1504, -0.16, -3 in decreasing order.\nAnswer: 1504, -0.16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -13*j**2 - 6*j + 9. Let r(n) = -7*n**2 - 3*n + 5. Let v(x) = 6*g(x) - 11*r(x). Let b be -2 + 0 - 2 - 0. Determine v(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-39)\/3 + 20350\/1554?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 478 + -287. What are the prime factors of c?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-1*(-2)\/(-6)). Let f be (0 + 1)\/(((-9)\/75)\/(-3)). Calculate the least common multiple of (-1)\/3 - f\/l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22628 + -22628.2. What is the closest to 1\/3 in s, -4, -1620?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 36*o**2 + o. Let t(b) = 180*b**2 + 6*b. Let x(c) = 11*d(c) - 2*t(c). Does 26 divide x(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i\/(i*i*i\/(i\/(i\/i**(-3\/8)))*i*i))\/i**11)\/(i**16*(i**(-10\/3)*i)\/i))**(-25) assuming i is positive.\nAnswer: i**(16225\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 2*o = 13, o - 2*o + 14 = 2*k. Let l be ((-35)\/k)\/(-1 + 0). Suppose -14 = l*j - 8*j. Calculate the remainder when j is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = 5*q - 45, -5*t = 2*q - 45 + 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 3 - 1 + o**2 + 0*o - 5*o. Suppose k + 0*x + 4*x = 19, 3*x = 5*k - 26. Is g(k) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10 - 4. Let s(a) = -18 + 4 + 3904560*a**3 - 5*a - 3904561*a**3 + 7*a**2. Determine s(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -133679 - -44114141\/330. What is the common denominator of n and 83\/66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 2*l = 10, -4*g - 4*l = g + 7. Sort g, -1, 5, 10 in increasing order.\nAnswer: g, -1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -172, -1689, -5898, -14173, -27888, -48417, -77134, -115413?\nAnswer: -164628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 92\/(-22) - 2\/(-11). Let x = 131 + -130. Sort n, 2, 3, x.\nAnswer: n, x, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s = -2 + 37. Let a(w) be the first derivative of w**3\/3 - 5*w**2\/2 - 7*w + 132. Determine a(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 + 4)*(2 - t + 2 - 6).\nAnswer: -6*t - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 6\/7, 23, -6, -3\/5, -2\/7, 13\/3, 3\/11?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1783.517 or 12\/43?\nAnswer: 12\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**4 - 15*l**2 + 10*l.\nAnswer: 5*l*(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 489 + -306. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4298429 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 - 4*n - 40. Give w(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 + 5)*(-2)\/(-3). Let x be 518\/18 + p\/18. Let w = x - 11. What is the lowest common multiple of w and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 1:54 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 10 - 35 = 4*k, 30 = -37*k + 32*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -123*i**2 - 1434*i + 10. Give d(-12).\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*k**2 - 41480*k**3 - 5*k - 2 - 4*k**2 - 2*k**2 + 41472*k**3 as i*k + w*k**2 + r*k**3 + y and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 88, 125, 152, 163, 152, 113?\n\"Answer: -w**3 + w**2 + 41*w + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*m + 4202228 - 4202228.\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 174*v + 2488 + 331 + 724 + 459 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 41*a - 38. Let w be v(1). Solve -w*f + 5*f = -10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 2, 5\/6, -4, 3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6*((-8)\/(-6) + -2). What is the second smallest value in -0.3, 3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -342 - -341.99999733. What is w rounded to seven dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 11*a**3*h**2 - 3*a**3*h + 7*a**3 - 82*a**2*h + 2*a**2 + 201 with respect to h.\nAnswer: 22*a**3*h - 3*a**3 - 82*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*-33.4.\nAnswer: 16.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + -27. Let h = -3411 - -3434. Let n = h + z. Which is the nearest to 0?  (a) n  (b) 2\/17  (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}